6t-20-32u when t= 6 and u=1/4?​

Answer:

4

Step-by-step explanation:

every 2 servings, 8 oz. every 1 serving, 4 oz.

Answer:

try looking up rise over run method. that's what i was taught to use for rate of change. it's easier so basically it's x over y

Step-by-step explanation:

Answer:

It takes 21.9 s to get to the 60th floor.

Step-by-step explanation:

Given

V= 10m/s

time =?

Δ distance = 219m

Speed = distance traveled/time interval

v= Δd/t

by isolating time we have

t = Δd/v plug in given

t = 219m/(10m/s )

t = 21.9 s

It takes 21.9 s to get to the 60th floor.

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

The equation of a plane that passes through a point and is parallel to the YZ plane can be written as:

x = constant

When a plane is parallel to the YZ plane, it means that its normal vector is perpendicular to the X-axis. Since the normal vector is perpendicular to the X-axis, the X-coordinate of any point on the plane remains constant.

To find the equation of the plane, we need a point that lies on the plane. Let's assume the point (a, b, c) lies on the plane.

Since the plane is parallel to the YZ plane, the X-coordinate of any point on the plane will remain constant. Therefore, we can say that x = a.

The equation of the plane becomes:

x = a

The equation of a plane that passes through a point and is parallel to the YZ plane is given by the equation x = a, where a is the constant X-coordinate of any point on the plane. This equation represents all points where the X-coordinate remains constant, while the Y and Z coordinates can vary freely.

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The number that Bethany thinks of is 104, and 1/13 of that number is 8.

Word problems in mathematics involve arithmetic operations and the use of variables to solve those problems. Word problems are problems we encounter in our daily life and with the use of correct mathematical interpretation, we can provide accurate solutions to them.

Let the number that  Bethany thinks of be (x) for example. So, 6/13 of x is equal to 48.

i.e.

(6/13) * (x) = 48

By dividing both sides with (6/13), we have:

x = 48 ÷ (6/13)

x = 48 × (13/6)

x = 8 × 13

x = 104

Thus, 6/13 of the number that Bethany thinks of that gives us 48 is 104. Now, to find 1/13 of 104, we have:

1/13 × 104

= 8

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Box plot for the given data is attached below.

The correct option is D.

A simple way of representing statistical data on a plot in which a rectangle is drawn to represent the first and third quartiles, usually with a vertical line inside to indicate the median value. The lower and upper quartiles are shown as horizontal lines either side of the rectangle.

Given data,

9, 16, 22, 25, 25, 29, 30, 31, 34, 35, 37, 39, 39

First Quartile(Q1) = ((n + 1)/4)th Term.

Q₁ = ((13 + 1)/4)th term = mean of 3rd and 4th term

    = (22 + 25)/2

    = 47/2

    = 23.5

Second Quartile or median (Q2) = ((n + 1)/2)th Term.

Q₂ = ((13 + 1)/2)th term

    = 7th term

    = 30

Third Quartile(Q3) = (3(n + 1)/4)th Term.

Q₃ = (3(13 + 1)/4)th term

    = (42/4)th term

    = (42/4)th term

    = 10.5 th term

    = mean of 10th and 11th term

    = (35 + 37)/2

    = 36

The bottom side of the box represents the first quartile, and the top side, the third quartile.

The horizontal line inside the box is the median.

Hence, The box plot is attached below.

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Answer: D

Step-by-step explanation: Test was just taken and i got an A!

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

\(f(x)=(-2)^3-5\)

       \(=-8-5\)

       \(=-13\)

(2)

By putting x = 0, we get

\(f(x)=(0)^3-5\)

       \(=0-5\)

       \(=-5\)

(3)

By putting x = 3, we get

\(f(x)=8\)

(4)

By putting x = 9, we get

\(f(x)=(2)^{9-7}\)

       \(=(2)^2\)

       \(=4\)

(5)

By putting x = 11, we get

\(f(x)=(2)^{11-7}\)

       \(=(2)^4\)

       \(=16\)

To calculate the number of years it will take to finish paying the debt, we need to determine the total number of monthly installments required.

Loan amount: ₦90,000

Monthly installment: ₦2,500

Total number of installments: Loan amount / Monthly installment

Total number of installments: ₦90,000 / ₦2,500 = 36

Therefore, it will take the man 36 months to finish paying the debt. To convert this into years, we divide the number of months by 12 since there are 12 months in a year.

Number of years: 36 months / 12 months/year = 3 years

Hence, it will take him approximately 3 years to finish paying the debt.

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Answer:

4d=48

Step-by-step explanation:

(a) To find the probability that only one machine is in working condition after two days, we need to determine the probability of transitioning from state (1, 1) to state (1, 0) after two days.

From the transition probability matrix, we see that to transition from (1, 1) to (1, 0) in one day, both machines need to remain operational, which has a probability of (1 - p) * (1 - p) = (1 - p)^2.

Therefore, the probability of transitioning from (1, 1) to (1, 0) after two days is ((1 - p) * (1 - p))^2 = (1 - p)^4.

(b) To find the expected number of days until both machines are down, given that currently both machines are operational, we need to consider the transition probabilities from state (2, 0) to state (0, 1).

From the transition probability matrix, we see that to transition from (2, 0) to (0, 1) in one day, both machines need to fail, which has a probability of p * p = p^2.

Therefore, the expected number of days until both machines are down, given that both machines are currently operational, is 1 / (p^2).

(c) To find the steady-state probabilities, we need to solve the equation πP = π, where π is the row vector of steady-state probabilities and P is the transition probability matrix.

Solving this equation will give us the steady-state probabilities for each state (i, j). Since the given matrix is not provided, it is not possible to calculate the exact steady-state probabilities without the specific values of the transition probabilities.

(d) To determine the percentage change in the long-run average benefit per day if p changes from 0.3 to 0.2, we would need to know how the revenue R TL is related to the probability p. Without this information, it is not possible to calculate the percentage change.

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Based on the given information, the distribution of the variable is most likely positively skewed.

The mean, median, and mode are measures used to analyze the central tendency of a distribution. In this case, the mean (33) is lower than both the median (50) and the mode (55).

This indicates that the distribution has a tail that extends towards lower values, pulling the mean towards the left. This characteristic is indicative of a positively skewed distribution.

In a positively skewed distribution, the majority of the data points are concentrated on the right side, while the tail extends towards higher values. The mean is lower than the median because the tail pulls the average down.

The mode, being the most frequently occurring value, is higher than both the mean and median. The values provided (mean = 33, median = 50, mode = 55) align with this pattern, suggesting that the distribution is positively skewed.

Therefore, based on the given values of mean, median, and mode, it is most likely that the distribution of the variable is positively skewed.

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The dataset described, with a mean of 33 and median of 50, is indicative of a positively skewed distribution, where most values fall below the average.

When a dataset's mean is less than its median, it indicates a positively skewed distribution. In this case, the mean is 33, the median is 50, and the mode is 55. Because 33 < 50, we know that the majority of the values in the dataset fall below the average (mean), resulting in the distribution tail stretching toward the positive, or right side of the number line. Therefore, the distribution is positively skewed.

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Based on the average daily balance, the finance charge for this credit card that charges 10.5% APR is $2.10.

The finance charge consists of the interest and other fees that lenders charge borrowers.

One of the methods for computing the finance charge is the average daily balance, which takes the sum of the daily balances and divides by the number of days in the billing cycle.

APR interest rate = 10.5%

Monthly period days = 30

Days 1-3: $200 (initial balance)        3 days      $600 ($200 x 3)

Days 4-20: $300 ($100 purchase)  17 days   $5,100 ($300 x 17)

Days 21-30: $150 ($150 payment)  10 days   $1,500 ($150 x 10)

Total balances = $7,200

Average daily balance = $240 ($7,200 ÷ 30)

Finance charge = $2.10 ($240 x 10.5% x 30/360)

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Answer:

9

13

23

59

116

238

Step-by-step explanation:

1) 14

1 × 5^1 + 4 × 5^0 = 9

2) 23

2 × 5^1 + 3 × 5^0 = 13

3) 43

4 × 5^1 + 3 × 5^0 = 23

4) 214

2 × 5² + 1 × 5^1 + 4 × 5^0 = 59

5) 431

4 × 5² + 3 × 5^1 + 1 × 5^0 = 116

6) 1423

1 × 5³ + 4 × 5² + 2 × 5^1 + 3 × 5^0 = 238

The average speed will be 140 km per hour.

Distance = 350km

Time = 150 minutes = 150/60 = 2.5 hours.

Average speed = Distance / Time

Average speed = 350/2.5

Average speed = 140 km/hr

A(n) experiment can be used to establish a cause and effect relationship between the explanatory and response variables.

In an experiment, researchers actively manipulate the explanatory variable (also known as the independent variable) to observe its effect on the response variable (also known as the dependent variable). By controlling and manipulating the conditions of the experiment, researchers can establish a cause and effect relationship between the variables.

The key characteristic of an experiment is the ability to assign participants or subjects randomly to different treatment groups. This random assignment helps ensure that any observed effects on the response variable are due to the manipulation of the explanatory variable and not due to other confounding factors.

By conducting experiments, researchers can gather strong evidence to support or refute hypotheses about causal relationships. The experimental design allows for rigorous control over potential sources of bias and provides a foundation for drawing conclusions about cause and effect.

It is important to note that while experiments are powerful in establishing causality, they may not always be feasible or ethical for certain research questions. In such cases, other study designs, such as observational studies, can provide valuable insights, but establishing causal relationships becomes more challenging.

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Answer:

(3/2)x - 2 < 11/2

(3/2)x < 15/2

x < 5

number line with a closed circle at 5 and the arrow going to the left

2x - 2 > 8

2x > 10

x > 5

number line with a closed circle at 5 and the arrow going to the right

4x - 7 > 13

4x > 20

x > 5

number line with an open circle at 5 and the arrow going to the right

3x + 4 < 19

3x < 15

x < 5

number line with an open circle at 5 and the arrow going to the left

Answer:

22. \(\frac{1}{2} (2x-2)(4x+2)\)

23. \((x-3)(x^2+8x-2)\)

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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Answer: a) 190cm³

              b) 76cm³

(refer to the image to see all the steps and workings I did related to these diagrams)

The probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

Step-by-Step Explanation:Let A be the event that the first dice rolls an odd number, and let B be the event that the second dice rolls an even number. We want to find P(B|A), which is the probability of B given A. This can be found using the formula:P(B|A) = P(A and B) / P(A) We know that P(A) = 1/2, as half the numbers on a six-sided dice are odd.

To find P(A and B), we need to find the probability that both dice roll the desired numbers simultaneously. Since we know that the first dice rolled an odd number, only half of the numbers are possible for the second dice to be even. Therefore, P(A and B) = 1/2 x 1/2 = 1/4. So:P(B|A) = P(A and B) / P(A) = (1/4) / (1/2) = 1/2 or 0.5. Therefore, the probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

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Answer:

69.3

Step-by-step explanation:

70-0.7

Answer:

$69.3

Step-by-step explanation:

I did mental math

Answer:

10,000 X 6% = 600

2500 X 8% = 200

Total is 800

Step-by-step explanation:

The total graduated commission on 12500 dollars is 800 dollars.

Percentage is the value per hundredth.

According to the given question upto 10000 dollars the commission is of 6%.

∴ Commission at 6% on 10000 dollars is = (6/100)×10000 dollars.

= 6×100 dollars.

= 600 dollars.

Remaining amount is (12500 - 10000) = 2500 dollars and his commission is of 8 %.

∴Commission at 8% on 2500 dollars is = (8/100)×2500 dollars.

= 8×25 dollars.

= 200 dollars.

So,  the total graduated commission on 12500 dollars is (600+200) dollars.

= 800 dollars.

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Answer:

the answer is 1/81 I believe

Step-by-step explanation:

Answer:

A: Linear

B: Linear

C: Linear

Step-by-step explanation:

So we have three functions:

\(f(x)=3x+1\\f(x)=x-6x+5\\f(x)=4x-x+1\)

To determine the type of graph for each function, simplify each of them and then we can determine whether it's linear or quadratic.

1)

We have:

\(f(x)=3x+1\)

This has a degree of 1. Quadratics have a degree of 2. In other words, quadratics have a x^2 term. There isn't one here, so this is a linear equation.

2)

We have:

\(f(x)=x-6x+5\)

Simplify:

\(f(x)=-5x+5\)

Again, this is of degree 1. There is no x^2 term. Thus, this is also a linear equation.

3)

We have:

\(f(x)=4x-x+1\)

Simplify:

\(f(x)=3x+1\)

This has a degree of 1. There is no x^2 term. Thus, this is also a linear equation.

Answer:

Step-by-step explanation:

a- f(x)=3x+1 it is linear equation

b: f(x)=x-6x+5

f(x)=-5x+5  linear equation

c: f(x)=4x-x+1

f(x)=3x+1  (linear equation)

(if there is no exponent then the graph is linear)

Answer:

1.96x + 0.69 ≤ 3

Up to 1.18 lb of potato salad.

Step-by-step explanation:

Let x = number of pounds of potato salad.

The total cost is 1.96x + 0.69.

The total cost has to be at most $3.00.

1.96x + 0.69 ≤ 3

1.96x ≤ 2.31

x ≤ 1.18

For a two-factor independent-measures research study with 2 levels of factor A and 3 levels of factor B, a total of 6 separate samples or groups would be needed.

In a two-factor independent-measures research study, each combination of levels of the two factors (A and B) constitutes a separate condition or treatment group. In this case, there are 2 levels of factor A and 3 levels of factor B, resulting in 2 x 3 = 6 possible combinations of levels.

To obtain valid and independent measurements, each combination or condition should be represented by a separate sample or group. This means that for each combination of levels of factors A and B, we would need a distinct group of participants or subjects. Therefore, a total of 6 separate samples or groups would be needed to conduct the study.

Having separate samples for each combination of factor levels allows for the comparison of the effects of each factor independently as well as their interaction. By varying the levels of both factors and observing the responses in each group, researchers can assess the main effects of each factor and investigate any potential interaction effects between the two factors.

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Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = \(cos^{-1} (5/8)\)

θ=51.3178125...

θ=51°

There are 30,030 different ways in which out of 15 games, the results are 10 wins, 2 loses, and 3 draws.

The total number of permutations is given by the factorial of the total number of games (15) divided by the factorials of the numbers of each type of outcome (10 wins, 2 loses, 3 draws).

Then the number of permutations is given by:

\(P = \frac{15!}{10!*2!*3!} = \frac{15*14*13*12*11}{2*3*2} = 30,030\)

So there are 30,030 different ways in which out of 15 games, the results are 10 wins, 2 loses, and 3 draws.

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