Answer:
I can help with number 7 if you want
1. Equation
y=15x + 10
This is the answer because 10 intercepts on the y axis and it says $15 dollars each.
2. -2 so you do y-y and x-x. In this case its 4-2 and 2-3 which equals 2 and -1 . Which divided equals -2.
Sorry I can't figure out the rest but I did do these ones.
suppose a jar contains 11 red marbles and 40 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the probability that both are red. write your answer as a reduced fraction.
The required probability that both are red out of total marbles is 0.0431 or 4.31%.
What is probability?A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.
According to question:Total number of marbles in a jar = 40 + 11 = 51
Number of red marbles = 11, blue marbles = 40
At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.
Net probability = 11/51×10/50 = 0.0431
percentage probability = 4.31%
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Suppose the radius of the circle is 3.5 yards. Find the diameter. Group of answer choices 1.75 yd. 3.5 yd. 7 yd. 14 yd
Answer:
7 yd
Step-by-step explanation:
The diameter of a circle is two times the radius.
3.5 x 2= 7 yd
The diameter of the given circle is given by d=7 yards
What is the Diameter of a Circle?The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of the circle. The diameter is also known as the longest chord of the circle.
Given here: Radius of the circle is 3.5 yards
Now diameter of any circle is twice its radius
Thus since the radius is 3.5 yards the diameter would be d=2×3.5
=7 yards
Hence, The diameter of the given circle is given by d=7 yards
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Joan wants to have $250,000 when she retires in 29 years. How much should she invest annually in her sinking fund to do this if the interest is 4% compounded annually?
Joan should invest $4720 annually in her sinking fund to have $250,000 when she retires
Calculating the amount to investWe can use the future value formula for an annuity to solve this problem:
FV = PMT * [(1 + r)^n - 1] / r
Where:
FV = future valuePMT = annual paymentr = interest raten = number of periodsWe want to find PMT, so we can rearrange the formula:
PMT = FV * r / [(1 + r)^n - 1]
Plugging in the values we know:
FV = $250,000
r = 0.04
n = 29
PMT = $250,000 * 0.04 / [(1 + 0.04)^29 - 1]
PMT = $250,000 * 0.04 / 22.718
PMT = $4720
So Joan should invest approximately $4720 annually in her sinking fund to have $250,000 when she retires in 29 years, assuming an interest rate of 4% compounded annually.
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Drag the tiles to thDrag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the slopes and the y-intercepts to the lines of best fit on the scatter plots.
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
Graph shows line and 7 points plotted on a coordinate plane. Line goes through (0, 3) and (5, 6). Points are approximately at (1, 3.8), (2, 4), (3, 4.5), (4, 5.5), (5, 6.1), (6, 6.1), and (7, 7).
arrowRight
Graph shows downward right slant line and 7 closed points plotted on a coordinate plane. The line from (0, 5) till (8, 0.2). Points are approximately at (1, 4.8), (2, 4), (3, 2.9), (4, 2.8), (5, 1.9), (6, 1.2), and (7, 1).
arrowRight
Graph shows line and 4 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 10). Points are approximately at (1, 6.5), (1.9, 8.5), (3.1, 9.8), and (4, 12).
arrowRight
Graph shows line and 5 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 0). Points are approximately at (0.8, 4), (1, 3.1), (1.6, 2.6), (1.9, 1.4), and (2.8, 0.8).
arrowRight
e correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with its y-intercept.
The rate of change (slopes) and initial value (y-intercepts) are as follows:
The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):
The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.Read more on scatterplot here: brainly.com/question/6592115
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A business manufactures acrylic cylinders. For a particular model of cylinder, the
height is always twice the radius. Create and write a function, V(r) that calculates
the volume of water based on the radius of the cylinder. Write this function in
simplest form. Then create and write a function, M(V) that calculates the mass of
the water based on the volume of the water. (The density of water is approximately
28 grams per cubic meter. ) Then write a composite function in simplest form in
which the domain values represent the radius of the cylinder and the range values
represent the mass of the water in the cylinder. Write your response in terms of pi
We can create three functions related to the manufacturing of acrylic cylinders: V(r), which calculates the volume of water based on the radius of the cylinder; M(V), which calculates the mass of water based on the volume; and a composite function that combines the two. The composite function will take the radius of the cylinder as the input and provide the mass of the water in the cylinder as the output. These functions can be expressed in terms of pi and the given density of water (28 grams per cubic meter).
To explain the functions, let's start with V(r). Since the height of the cylinder is always twice the radius, we can express the volume using the formula for the volume of a cylinder: V(r) = pi * r^2 * h. Substituting the relationship between the height and radius, the formula simplifies to V(r) = pi * r^2 * (2r), which further simplifies to V(r) = 2pi * r^3.
Next, we have M(V) to calculate the mass of water based on the volume. Since the density of water is approximately 28 grams per cubic meter, we can express the mass as M(V) = V * density. Substituting the value of V from the previous function, we get M(V) = (2pi * r^3) * 28.
Finally, the composite function takes the radius of the cylinder as the input and provides the mass of water in the cylinder as the output. Therefore, the composite function can be written as M(r) = (2pi * r^3) * 28, where M(r) represents the mass of water in the cylinder given the radius r.
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plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x
Answer:
Two real world situations are shown below.
Step-by-step explanation:
Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is
\(f(x)=1(2)^x\)
\(f(x)=(2)^x\)
A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is
\(f(x)=1(2)^x\)
\(f(x)=(2)^x\)
Stephanie has 5 pizzas. She shares 4-
of the pizzas with her friends. Estimate how much pizza Stephanie has left.
8
16
02/20
pizzas
O2 pizzas
O
01/P
pizzas
01 pizza
After subtraction we can see Stephanie has only 1 pizzas left.
What is subtraction?
The definition of subtraction is subtracting one number or amount from another. It is addition's opposite operation. Subtraction subtracts a number from another to find the difference, whereas addition adds or groups numbers to find the sum. The word "subtract" can also mean to compare two values to determine how many factors account for a value's difference from another. That is the most fundamental concept behind the term "difference" for the solution to a subtraction problem.
We are given that,
Stephanie has 5 pizzas, Also she shared 4 of the pizzas with her friends
Hence she is left with 5-4= 1 pizza
Hence Stephanie has left with 1 pizza
Therefore the correct option is option D)
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If the mortgage interest rates increase, this would be an example of changing your external environment.
Answer:
Economic conditions
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment
Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.
once the debtor repays the mortgage he retains the full ownership of his property.
HELPPPP ME PLZZZZZZZ
Answer:
It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.
Assume a hypothetical age that has not been chosen by any other students, (Must have a month in it, saying I am 21, 22, or 23 years is not acceptable, but 21 years and 1 month, or 21 years and 8 months. are acceptable). Assume you can earn 0.8% per month in the stock market by investing in S\&P500; assume you buy $10,000 worth of an index ETF that represents the S\&P 500 . When you get to age 67 , how much is your investment worth? (The future value of $10,000, monthly compounding). 2. Assuming the same age as above in Q1, you can earn 10% per year in the stock market by investing in S\&P500; assume you buy $10,000 worth of an index ETF that represents the S\&P500. At your retirement age of 67 , the value of this $10,000 investment is $350,000.00. What is the average rate of return on your investment?
The investment will be worth approximately $28,940 at age 67. The average rate of return on the investment is approximately 5.59%.
To calculate the future value of an investment and the average rate of return, we'll consider two scenarios: one with monthly compounding and one with annual compounding.
1. Monthly Compounding:
Given that you earn 0.8% per month in the stock market, we can calculate the future value of your $10,000 investment when you reach age 67. Since we don't have the exact age, we'll assume it to be 21 years and 1 month for this calculation.
To calculate the future value with monthly compounding, we use the formula:
FV = PV * (1 + r)^n
Where:
FV = Future Value
PV = Present Value (initial investment)
r = Monthly interest rate
n = Number of compounding periods
In this case, PV = $10,000, r = 0.008 (0.8% monthly interest rate), and n = (67 - 21) * 12 (number of months from age 21 to 67).
Using the formula, we can calculate the future value:
FV = $10,000 * (1 + 0.008)^((67 - 21) * 12)
We can simplify the equation and calculate the value:
FV ≈ $10,000 * (1.008)^576
FV ≈ $10,000 * 2.894
FV ≈ $28,940
Therefore, the investment will be worth approximately $28,940 at age 67.
2. Annual Compounding:
Given that the value of your $10,000 investment at age 67 is $350,000, we can calculate the average rate of return over the investment period.
To calculate the average rate of return, we use the formula:
Average Rate of Return = (FV / PV)^(1/n) - 1
Where:
FV = Future Value
PV = Present Value (initial investment)
n = Number of years
In this case, FV = $350,000, PV = $10,000, and n = 67 - 21 (investment period).
Using the formula, we can calculate the average rate of return:
Average Rate of Return = ($350,000 / $10,000)^(1 / (67 - 21)) - 1
To solve the equation for the average rate of return:
Average Rate of Return = ($350,000 / $10,000)^(1 / 46) - 1
We can simplify the equation:
Average Rate of Return = 35^(1 / 46) - 1
Using a calculator, we can evaluate the expression:
Average Rate of Return ≈ 0.0559
Therefore, the average rate of return on the investment is approximately 5.59%.
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Given the following venn diagram, choose the correct set for M
Answer:
M contains 3,4,7,9
M bar is 2 ,5 ,6 ,8
Step-by-step explanation:
The set for M is what is in the circle labeled M
M contains 3,4,7,9
The question in the picture asks for M bar which is what is not contained in M
M bar is 2 ,5 ,6 ,8
If I used the distributive property on this expression, what would it become?
12(x+3)
Answer:
It would become 12x+36
Answer:
12x+36
Step-by-step explanation:
Multiply the parts in parentheses by 12
evalute the following integral.
Help me...step by step
Answer:
= ax + b ln x - c/x + C
Step-by-step explanation:
Recall:
integral a dx = ax + C
integral 1/x dx = ln x + C
integral x^(n) = [x^(n +1)]/(n + 1) + C
Also:
c = variable in this problem
C = constant you add when you integrate
Separate each term of the numerator and set it over the denominator.
integral (ax^2 + bx + c)/x^2 dx =
integral [(ax^2)/x^2 + (bx)/x^2 + c/x^2] dx
Simplify each term and separate into the sum of 3 integrals.
= integral (a dx) + integral (b/x dx) + integral (c/x^-2) dx
= ax + b ln x + (cx^-1)/(-1) + C
= ax + b ln x - c/x + C
Why is −318 a rational number? A. It is rational because all negative numbers are rational. B. It is rational because all integers are rational. C. It is rational because it can be expressed as a repeating decimal. D. It is rational because it can be expressed as a terminating decimal.
Answer:
The correct answer is the option B: It is rational because all integers are rational.
Step-by-step explanation:
To begin with, a rational number is the one that can be expressed as a fraction of two integers and that implicates all integers, both positives and negatives. Moreover, there are some rational numbers that can be expressed as well as a repeating number and others that can be expressed as a terminating number and all that will depend on the last number that the division will cause. So to sum up, -318 is a rational number because it is an integer and all of them can be divided and expressed as a fraction of two integers.
As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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CF=38,and CD=3y-11.Find CD
Answer: 103
Step-by-step explanation:
3(38)-11=103
A local charity has 60 volunteers. The ratio of boys to girls is 7:5, Find the number of volunteers
Answer:
35 boys
25 girls
Step-by-step explanation:
you will the total number of volunteers and divide that by the total number of "parts" in the ratio (7+5=12)
60 / 12 = 5
you then will multiply your answer (in this case, 5) to each part of the ratio (7 to find the number of boys, & 5 to find the number of girls)
5x7=35 boys
5x5= 25 girls
HOPE THIS HELPS!!!
need help with work would give more points but poor
Answer:
Step-by-step explanation:
2.5
4 quarts per gallon
8 quarts per 2 gallons
2 quarts is half a gallon since 4 quarts is a full gallon
answer: 2.5
When you raise a power to a power, you_________powers.
Answer:
exponential expression, you find the new power by multiplying the two powers together.
Math school please need help
Answer:
r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29
So the equation of this circle is
(x - 4)² + (y - 4)² = 29
A right triangle has a right exterior angle?
True or False?
Write two hundred thousand five hundred thousand in standard form
Answer:200,500
Step-by-step explanation:
What is the opposite integer of 53
-53
The opposite of 53 is -53
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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In a school, 50% of students are younger of students younger than 10, 1/2 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining of students are 12 years or older. How many students are 10 years old?
Answer:
jddossjienrufhddddhdudjdj
18 less than the quotient of a number and -5 is at most -2
Answer:
-4
Step-by-step explanation:
tik r1cothepenguin
In the triangle below, with right angle R, suppose that m is Angle Q=(5x-13) and m is Angle S=(4x-5) Find the degree measure of each angle in the triangle.
Answer:
Degree measure of each angle is 90⁰, 47⁰ and 43⁰
Step-by-step explanation:
since the triangle is right angled, we assume that Q and S are the other angles of this triangle R
Thus using the concept that angles inside a triangle add up to 180⁰ and we already have one angle as 90⁰( since the triangle is right angled). we therefore know that Q + S = 90⁰
5x - 13 + 4x - 5 = 90⁰
9x = 108
x = 12
We now replace x in Q and S to get the angles
Q = 5(12) -13
= 47⁰
S = 4(12) - 5
= 43⁰
from Austin to Dallas is about 200 miles. How far apart will these cities appear on a map with the scale of ____ 1 in/50 mi ?
Answer:
on a map with a scale of 1 inch to 50 miles, Austin and Dallas will appear approximately 10000 inches apart. This is equivalent to approximately 833 feet or 254 meters.
Step-by-step explanation:
To determine the distance between Austin and Dallas on a map with a scale of 1 inch to 50 miles, you can use the formula:
distance on map = (distance in real life) / (scale)
Plugging in the values for the distance between Austin and Dallas (200 miles) and the scale (1 inch to 50 miles), you get:
distance on map = 200 miles / (1 inch / 50 miles)
distance on map = 200 miles / (1/50) inches
distance on map = 200 miles / 0.02 inches
distance on map = 10000 inches
So, on a map with a scale of 1 inch to 50 miles, Austin and Dallas will appear approximately 10000 inches apart. This is equivalent to approximately 833 feet or 254 meters.
What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
(Give your answer as a fraction, not a mixed number. "Simplest fraction" means the numerator and denominator should have no common divisor greater than 1. For example, 5/6 is a fraction in simplest form, but 4/6 is not in simplest form because a common divisor of 2 can be factored out of the numerator and denominator. The simplest form of 4/6 is 2/3.)
Answer:
Step-by-step explanation:
A survey asking about preference for recess location was randomly given to students in an elementary school. The results are recorded in
the table below.
Indoor Recess
Outdoor Recess Total
Boys
64
96
160
Girls
32
48
80
Total
96
144
240
A student is randomly selected. Based on the data, what conclusions can be drawn?
P(Boy)=D
P(Boy|Indoor Recess) =
The events of the student being a boy and the student preferring indoor recess are
The probability of selecting a boy is 2/3, and the events of being a boy and preferring indoor recess are independent.
What conclusions can be drawn based on the given data regarding the probability of selecting a boy and the probability of a student preferring indoor recess?Based on the given data, we can draw several conclusions. First, the total number of students surveyed is 240, with 160 of them being boys and 80 being girls.
This indicates that the sample consists of more boys than girls. The probability of selecting a boy from the surveyed students can be calculated by dividing the number of boys by the total number of students, resulting in 160/240 or 2/3, approximately 0.67.
The data shows that the total number of students who prefer indoor recess is 96.
This means that out of the surveyed students, 96 of them expressed a preference for indoor recess.
To determine the probability of any student preferring indoor recess, we divide this number by the total number of students, yielding 96/240 or 2/5, approximately 0.4.
Within the group of students who prefer indoor recess, 64 of them are boys.7.
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