it was young her father marked her height on a door frame every month he noticed that between the ages of one and three you can protect her height in inches by taking her age and months adding 75 in a multiplying the Rest by 1/3 create an equation licking her prediction height with her age in months

Answers

Answer 1

let h be the height of Asia. We get that

\(h=\frac{1}{3}\cdot(x+75)\)

where x is the age in months


Related Questions

Ina certain year, the annual per capita of eggs was 496; that is, the average person ate 496 eggs per year. In a year many decades later, the annual per capita consumption had dropped to 255. Round each annual per capita consumption to the nearest ten. A) earlier year had (blank) eggsB) more recent year had (blank) eggsFill in the blank with a fraction. Use the rounded values. In the more recent year, the average person ate ( blank) as many eggs as the average person did in the earlier year.

Answers

Given:

Annual per capita consumption in earlier years = 496 eggs / year

Annual per capita consumption in recent years = 255 eggs/ year

Solution:

(A) Earlier year had 500 eggs (nearest ten)

(B) More recent years had 260 eggs (nearest ten)

(C) In more recent year, the average person ate :

\(\begin{gathered} =\frac{260}{500} \\ =\text{ }\frac{52}{100} \end{gathered}\)

Hence, the average person in recent years ate 0.52 as many eggs as those consumed in earlier years

The manager of a medical center wants to schedule staff based on a pattern of 5 days working and 2 consecutive days off. Based on the history of their workload, below is their weekly staff requirement: Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Staff needed 6 5 4 4 6 5 3 a. Determine what days employee 3 does not need to work. multiple choice A) Sunday and Monday B) Monday and Friday C) Tuesday and Thursday D) Wednesday and Friday b. Determine the minimum number of full time staff. c. Determine the minimum number of part time staff.

Answers

The correct option A) Sunday and Monday, is the days employee 3 does not need to work.

Explain the term frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.The distribution of sightings based on a variable's possible values is displayed in a frequency table. To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful.This is useful for better understanding each variable and determining whether or not variables must be recoded.

For the stated question-

A medical center's manager wants to schedule employees so that they work 5 days and take 2 days off in a row.

Thus, they are reportedly mandated to have consecutive days off on Saturday and Monday, and there is no better option than A.

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Which box-and-whisker plot represents this data: ?


A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from 18 to between 24 and 26 with no median value.


A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.


A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 8 and 10 to 28 with a median between 20 and 22.


A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 to between 26 and 28 with a median between 20 and 22.

Answers

A box-and-whisker plot which represents the given data is: B. A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.

What is a box-and-whisker plot?

In Mathematics, a boxplot is also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

Minimum = 6.First quartile = 13.Median = 22.Third quartile = 27.5.Maximum = 30.

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that boxplot A correctly represents the given data set.

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Complete Question:

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Which box-and-whisker plot represents this data: ?A box-and-whisker plot is shown. The number line goes
Which box-and-whisker plot represents this data: ?A box-and-whisker plot is shown. The number line goes

A boat is moored at a dock, as shown in the figure.

What is the length of rope A?

Note: The triangle formed is a right triangle.




8.3 ft


10.5 ft


12.3 ft


8.6 ft

A boat is moored at a dock, as shown in the figure. What is the length of rope A?Note: The triangle formed

Answers

Answer
12.3

Explanation

cos35=Side adjacent to 35/hypotenuse

=0.81915204428=A/15
A=0.81915204428x15
A=12.2872806642

12.3ft

Answer:

12.3

Step-by-step explanation:

i took the quiz

Gary's is a small publishing company that publishes math books.
the production costs include a one time cost for editing which is $1050 for the book the company is currently working on. once the book is in production, the only cost will be the variable cost, of printing which is $15 per book. the company will market the book at a price of $35.
if you were to plot a graph of the profit generated by the book, what would the slope and y intercept represent?

Answers

The slope of the graph is 20 and the y-intercept is -1050.

The slope of a linear graph is defined as the gradient of the graph .It is also defined by trigonometric properties as the tangent of the angle formed by the line with the positive y-axis.

The y-intercept is the point of intersection of the graph and the y-axis.

The general equation of a straight line in the cartesian plane is given by

y = m x + c where 'm' represents the slope and 'c' represents the y-intercept.

It is given that the one time editing cost is 1050 dollars.

Variable cost of printing each book = 15 dollars

Each book is sold at = 35 dollars

∴profit per book sold = 35 - 15 = 20 dollars

Let Gary sells x number of books . Profit from selling x books = 20 x

Let us consider the net profit of Gary after selling x books be represented by y.

∴ y = profit from x books - establishment cost

or, y = 20 x -1050

Now comparing the above equation with the general equation of a straight line( y = mx + c ) we  can infer that:

slope(m) = 20

y-intercept (c) = -1050

Therefore the slope of the graph is 20 and the y-intercept is -1050.

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Emily buys a toaster during the sale off for 10% off if ellen pays 36$ what was the original price

Answers

Answer:

100%-10%=90%

90%=36$ what about 10%=4$

36$+4$=40$

What is 23/100 + 7/10

Answers

Answer:

93/100

Step-by-step explanation:

23/100 + 7/10

=> 23/100 + 70/100

=> 93/100

Answer and Step-by-step explanation:

First, before you add and solve, you need to make both denominators the same. So, multiply the numerator and denominator of 7/10 by 10 to get: 70/100. Now you should have:

23   +   70

100         100

Simply add the numerators to get 93/100. This cannot be simplified any further, so the final answer is:

93

100

I hope this helps.

500.00
-319.45 = m
Solve for m

Answers

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

How mant solutions are there for the equation? 12x+6=5x

Answers

Answer:

One solution

Step-by-step explanation:

12x+6=5x

7x+6=0

7x=-6

x=-6/7

Only one solution. Hope this helps!

There will be only one solution in this equation

i am confused on finding the answer i have tried a few times and i do not understand

i am confused on finding the answer i have tried a few times and i do not understand

Answers

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

How many degrees is the measure of ∠4
?

How many degrees is the measure of 4?

Answers

Answer:

Below

Step-by-step explanation:

Angle 4 + 60 + 61 = straight line = 180 °

angle 4 = 180 - 60 - 61 = 59°

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

10 9/14 bc the 2/7 becomes 4/14. 4/14 + 5/14 = 9/14. 3 + 7 = 10

Verify the identity.

sin (x + y) - sin (x - y) = 2 cos x sin y

Answers

Answer:

Step-by-step explanation:

Verify the identity.sin (x + y) - sin (x - y) = 2 cos x sin y

Values of f(t) are given in the following table.

t 0 2 4 6 8 10
f(t) 132 129 120 109 94 77

a. Does this function appear to have a positive or negative first derivative? Second derivative?
The function appears to have a _____ first derivative, and a ____ second derivative.
b. Estimate f'(2) and f'(8) . Use difference quotients to the right.
f'(2) = ____
f'(8) = ____

Answers

The estimated values of f'(2) and f'(8) are -4.5 and -8.5, respectively.

What is function?

In programming, a function is a self-contained block of code that performs a specific task or set of tasks. It is a reusable piece of code that can be called multiple times from different parts of a program. Functions typically take inputs, called arguments or parameters, and produce outputs, which can be returned to the calling code.

Given by the question.

a.

To determine whether the function has a positive or negative first derivative, we can examine the change in values of f(t) between adjacent values of t. Since the values of f(t) decrease as t increases, the function appears to have a negative first derivative.

To determine the second derivative, we can examine the change in the first derivative. Since the first derivative is negative, it is decreasing as t increases, suggesting a negative second derivative.

Therefore, the function appears to have a negative first derivative and a negative second derivative.

b.

To estimate f'(2) and f'(8) using difference quotients to the right, we can use the following formula:

f'(t) ≈ [f (t + h) - f(t)] / h

where h is a small positive value. To estimate f'(2), we can use h = 2:

f'(2) ≈ [f (4) - f (2)] / 2 = (120 - 129) / 2 = -4.5

To estimate f'(8), we can use h = 2:

f'(8) ≈ [f (10) - f (8)] / 2 = (77 - 94) / 2 = -8.5

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The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)

I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct

Answers

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Need help with #2 and #3 all of the problem

Need help with #2 and #3 all of the problem

Answers

Answer:

ang hirap wag nlang hahahahahahahaha

A rotating light is located 15 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 15 degrees from perpendicular to the wall.

Answers

To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.

Given:

Distance from the light to the wall, r = 15 feet

Rate of rotation, dθ/dt = 1 rotation every 4 seconds

We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.

Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).

tan(θ) = dx / r

Differentiating both sides of the equation with respect to time t, we get:

sec^2(θ) * dθ/dt = dx/dt

Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.

sec^2(15°) * (1 rotation / 4 seconds) = dx/dt

Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.

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Another question (sorry)​

Another question (sorry)

Answers

Answer:

19.99

Step-by-step explanation:

First you would multiply .44 by 16 to get 7.04

then you would add 12.95 to get 19.99

What is the ratio of the number of 8 nickels to the number of 10 dimes?​

Answers

Answer:

2/5

Step-by-step explanation:

start by 8*5 then 10 times 10 then simplify

Answer:

2/5

Step-by-step explanation:

A nickel is worth= 5 cents.

A dime is worth= 10 cents.

So ratio=8×5/10×10

=40/100

=2/5

So the ratio is 2/5

3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.​

Answers

Answer:

Age of Jose =  5 years

Age of Adrian = 13 years

Step-by-step explanation:

Let:

Age of Jose = x

Age of Adrian = x+8

After 3 years

Age of Jose = x+3

Age of Adrian = x+8+3 = x+11

Now, we are given, in 3 years he will be twice as old as his brother.

So, we can write

Age of Adrian = 2 (Age of Jose)

x+11 = 2(x+3)

x+11=2x+6

2x-x=11-6

x=5

So, we get value of x = 5

Now, the present ages will be:

Age of Jose = x = 5 years

Age of Adrian = x+8 = 5+8 = 13 years

CALCULATING AGES

Problem:

Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.

Answer:Jose is currently 5 years old.Adrian is currently 13 years old.

Solution and Explanation:

Let's represent the age of Jose as \(\large\rm x\)

According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as \(\large\rm x + 8\).

In 3 years, Adrian's age will be \(\large\rm (x + 8) + 3\) and Jose's age will be \(\large\rm (x + 3)\).

The problem also tells us that in 3 years, Adrian will be twice as old as Jose:

\(\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}\)

So Jose is currently 5 years old.

To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:

\(\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}\)

Therefore:

Jose is currently 5 years old.Adrian is currently 13 years old.

\(\\\\\)

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Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning

Answers

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment
m
(Round to one decimal place as needed)
ample Get more help-
HW Score: 39.53%, 17 of 43 points
O Points: 0 of 6
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 105 0 min After treatment, the 14 subjects had a
mean wake time of 782 min and a standard deviation of 24 1 min Assume that the 14 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the
mean wake time for a population with drug treatments What does the result suggest about the mean wake time of 105 0 min before the treatment? Does the drug appear to be effective?

Answers

The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.

Confidence interval is written in the form as;

(Sample mean - margin of error, sample mean + margin of error)

The sample mean represent x , it is the point estimate for the population mean.

Margin of error = z × s/√n

Where s = sample standard deviation = 21.8

n = number of samples = 17

Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

then the degree of freedom, df for the sample.

df = n - 1 = 17 - 1 = 16

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

the t distribution table, z = 2.921

Margin of error = 2.921 × 21.8/√17

= 15.44

The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44

The upper limit is 90.3 + 15.44 = 105.74 mins

The lower limit is 90.3 - 15.44 = 74.86 mins

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A car’s gas tank will hold 24 gallons when full. The car’s tank is presently 1/3 full. How much more gas will it take to fill the tank?

Answers

The additional gas it will take to fill the tank is 16 gallons

How much more gas will it take to fill the tank?

From the question, we have the following parameters that can be used in our computation:

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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please please solve for x​

please please solve for x

Answers

Answer:

Step-by-step explanation:

please please solve for x

You pick a card at random. 5 6 7 What is P(odd or greater than 6)?

Answers

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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If we set α=0.01, what is the probability that we reject the null hypothesis when it was in fact true?

The probability is  _____

Answers

The probability by the given data is 1%.

We are given that;

set α=0.01

Now,

The probability of making a type I error is the significance level, or alpha (α), which is the threshold we set for rejecting the null hypothesis124. It is also known as the false positive rate3.

If we set α=0.01, it means that we are willing to accept a 1% chance of making a type I error. Hence, the probability that we reject the null hypothesis when it was in fact true is 0.01 or 1%.

Therefore, by probability the answer will be 1%.

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GET 5 STARS, THANKS, AND BRAILIEST!!!
Solve by elimination:

-3x + 3y = 3

-5x + y = 13

Group of answer choices

(3 , 2)

(2 , 3)

(-3 , -2)

(3 , -2)

Answers

Answer:

C.  (-3 , -2)

Step-by-step explanation:I double checked on math.way

Hope this helps

which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82

Answers

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

rearranging formulae make x the subject y=x+2

Answers

The rearranged formulae with x as the subject is x=y-2

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:

y=x+2

rearranging we get

x=y-2

Hence, The rearranged formulae with x as the subject is x=y-2

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Which of the following situations does NOT represent a linear function?
A. Jasmine's mother gives her an allowance of $20 each week.
B. Over the past few months, Cesar's cell phone bill has doubled from the previous month.
Blair is going to earn $7.00 per hour working at a concession stand at a football gamo.
D. The Landscaping company charges the Anderson's $15 for the first hour and $10 for each additional hour to mow the lawn.
C

Answers

Answer:

B. Over the past few months, Cesar's cell phone bill has doubled from the previous month.

Step-by-step explanation:

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a condition brough about by hypersecretion of the pituitary growth hormone is What is the double-stranded nucleic acid? does sniffing rosemary increase memory by 15 per cent QuestionSeismic waves travel at different speeds according to type.What is the speed of seismic waves from fastest to slowest?ResponsesS waves, L waves, P wavesS waves, L waves, P wavesP waves, S waves, L wavesP waves, S waves, L wavesL waves, S waves, P wavesL waves, S waves, P wavesP waves, L waves, S waves capitol Industries has 6 million shares of stock outstanding. In an election for the board of directors, 80 percent of the shares are voted. The company has seven directors on its board, all of whom are elected annually. If the company uses a cumulative voting procedure, how many shares are required to elect i. One director ii. Two directors iii. A majority of the members of the boardAnswer only part b above. Make sure answer all three parts of part b like this:Answer to b.i: (make sure to show your work) Answer to b.ii: (make sure to show your work) Answer to b.iii (make sure to show your work) Suppose photons are produced in a cathode ray tube (CRT) from electrons which are accelerated across a potential of 205 KV. 50% Part (a) What is the maximum energy, in electron volts, of the photons? 50% Part (b) What is the maximum frequency, in hertz, of these photons? fr Grade S Deductio Potential Many exoenzymes from pathogens are virulence factors. 1) True 2) False A rod of length L coincides with the interval [ 0, L ] on the x axis , To set up boundary value problem for the temperature u ( x , t ) when the left end is held at temp zero , the right end is insulated and the initial temp is f f ( x ) throughout . Jenna and Krista are accountants who both enjoy drinking coffee. Each accountantrecorded how many cups of coffee she drank each day for the 30 days in April, thenrecorded that data in the box plots shown.Jenna generally drank more coffee each day than Krista.Jenna generally drank more coffee each day than Krista.Krista generally drank more coffee each day than Jenna.Krista generally drank more coffee each day than Jenna.Both accountants drank at least 2 cups of coffee at least half the days in April.Both accountants drank at least 2 cups of coffee at least half the days in April.Both accountants drank at least 3 cups of coffee at least half the days in April.Both accountants drank at least 3 cups of coffee at least half the days in April.Both accountants drank at least 5 cups of coffee at least half the days in April.Both accountants drank at least 5 cups of coffee at least half the days in April.Both accountants drank at least 6 cups of coffee at least half the days in April.Which of the following statements are true about the data? Select all that apply. Thirdly, caffeine blocks a number of metabolic pathways, which results in an increase in blood ____________ levels that then, in response, cause cells to increase their energy production. Let X1,...,Xn~iid Bernoulli(p). Show that the MLE ofVar(X1)=p(1-p) is Xbar(1-Xbar). you are given a 10 kg sample of nitrogen-13 which has a half-life of 996 minutes. how much of that sample will be nitrogen-13 after 2988 minutes (three half-lives) have elapsed? a sports writer studies the batting average, walk to strikeout ratio, and home runs hit for a certain baseball player for five weeks for an article. If I bought a pen, would this be an irreversible change? Explain why 4. The average monthly temperatures in NewOrleans, LA has a mean absolute deviation of43.5F. What conclusion can you make aboutthe average monthly temperatures in NewOrleans, LA? Please help I need answered by the end of the day Which expression is equivalent to 7(4x + 2y)?A) 42xyB) 28x + 2yC) 11x + 2yD) 28x + 14y FILL THE BLANK. ____ ______ describes a set of defenses that is always at the ready and is the same whether a particular infectious agent has been encountered or not. The figure below shows three quadrilaterals on a coordinate grid:A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of a rectangle labeled P is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled Q is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled R is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1.Which of the following statements is true about the three quadrilaterals? Q and R are similar and congruent. Q and P are similar and congruent. P and R are similar but not congruent. P and Q are similar but not congruent. (TCO 11) If you do not declare an access specification, the default for members of a class isGroup of answer choicesglobal.inline.public.private.Question 4(TCO 11) Assuming that Rectangle is a class name, the statementRectangle *BoxPtr;Group of answer choicesis illegal in C++.declares an object of class Rectangle.defines a Rectangle pointer variable called BoxPtr.assigns the value of *BoxPtr to the object Rectangle.Question 5(TCO 11) The constructor function always has the same name as theGroup of answer choicesan private data member.public data member.first object of the class.class.Question 6(TCO 11) For the following code, which statement is NOT true?class Point{private:double y;double x;public:double z;};Group of answer choicesx is available to code that is written outside the class.x, y, and z are called members of the class.z is available to code that is written outside the class.The name of the class is Point.Question 7(TCO 11) Assume that myCar is an instance of the Car class, and that the Car class has a member function named drive. Which of the following is a valid call to the drive member function?Group of answer choicesmyCar:drive();car->drive();myCar.drive();myCar::drive();Question 8(TCO 11) What is the output of the following program?#include using namespace std;class TestClass{public:TestClass(int x){ cout