Which of these is an accurate way to measure the volume of a rectangular prism
A. Fill it with water and then weigh the water.
B.Trace each face of the prism on centimeter grid paper, and then count the number of squares it comprises.
C. Measure the length and the width, and then multiply the two values.
D. pack it with unit cubes, leaving no gaps or overlaps, and count the number of unit cubes.

you cant have an answer there should be s drawing so no way to answer it

The number of Jim's model car is 48

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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Answer:

Interval for constant cost = [0, 10,000] same as 0 <= x <= 10,000

Interval for increasing cost = (10,000, ∞) same as 10,000 < x < ∞

Be careful! note the use of different types of parentheses for each answer part as explained below

Step-by-step explanation:

We are only being asked for the two intervals, not the function definition itself which would have made it a little bit more work. A function has inputs and outputs. Here the input is gallons of water and output is $ cost.

Normally when asked for intervals we use a variable. Let's call it x which represents the gallons of water used

Since there is a base rate of $11.70 whether or not any water is consumed as long as it is less than or equal to 10,000 gallons we can state that over the interval 0 to 10000 (inclusive), the cost is constant

We can represent this interval in two ways
0 ≤ x ≤ 10,000

Another way of representing this interval is what we call interval notation. In interval notation the same thing  can be expressed as:

[0, 10000]    

Here 0 is referred to as the lower limit or bound(minimum) and the 10,000 is referred to as the upper limit or upper bound

Note the use of square brackets. This means that both upper and lower limits are included in the function. Such an interval is also called a closed interval.

After 10,000 gallons, the cost keeps increasing. There is no upper limit on the usage of water. So the lower limit is 10,000  (but does not include that number) and upper limit is infinity

We represent this interval as
10000 < x < ∞

Note that both upper and lower limits are excluded since ∞ is not realistic.

In interval notation this is represented as
(10000, ∞)

Here we are using regular brackets(parentheses) because this interval does not include lower and upper limits

This kind of interval is known as an open interval

Looks like the purpose of this question is to make sure what you understand in terms of interval notation and possibly open and closed intervals. The only relevant number there is the 10,000 gallons which represents the upper bound on the first interval. All the other numbers can be junked

Hope that is of help even if it was wordy

Answer:

B. 14 ft

Step-by-step explanation:

I calculated it logically

Answer:

\(\huge\boxed{576 \ \text{calories}}\)

Step-by-step explanation:

In order to find the number of calories that an \(m\) kg animal weighs, we can substitute what we need inside the formula given, \(72m^{\frac{3}{4}}\). Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.

\(72\cdot 16^{\frac{3}{4}}\)

BPEMDAS tells us that the order of solving equations is

Brackets

Parantheses

Exponents

Multiplication/Division

Addition/Subtraction

Looking at this order, we need to do \(16^{\frac{3}{4}}\), then multiply by 72.

When we have a number to a fraction power, we need to note that

Therefore, our expression will be \(\sqrt[4]{16^3}\).

Now that we have this much, we need to multiply it by 72 as our formula read \(72m^{\frac{3}{4}}\).

Therefore, an animal weighing 16 kg needs to consume 576 calories.

Hope this helped!

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

The equation for maximum number of days (x) Zoey can afford to rent while saving within her budget is 350 > 20 + 42.72x

The given parameters;

cost per day = $42.72

cost per mile, = $0.10

distance planned by Zoey = 200 miles

maximum amount to be spent by Zoey = $350

The maximum number of days (x) Zoey can afford to rent while saving within her budget is calculated as follow;

Total expenses should be less than her maximum budget

200(0.1) + 42.72x ∠ 350

20 + 42.72x ∠ 350

The above equation can also be written as; 350 > 20 + 42.72x

Thus, the equation for maximum number of days (x) Zoey can afford to rent while saving within her budget is 350 > 20 + 42.72x

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Answer:

3) sin B = 5/√89

cos B = 5/√89

tan B = 5/8

4) Set your calculator to degree mode.

cos A = 47/61

A = 40°

5) Set your calculator to degree mode.

tan(28°) = 21/x

x•tan(28°) = 21

x = 21/tan(28°) = 39.5 mm

Answer:

40.5 ounces

Step-by-step explanation:

its pretty easy just dived 162 and 4 and you get the answer

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer: hello your question is poorly written attached below is the complete question

answer:

The series is absolutely convergent

Step-by-step explanation:

To determine whether the series is absolutely or conditionally  convergent or divergent. apply the Root Test

The series is absolutely convergent

attached below is the solution

Answer:

Hi, There!

The 7 in the ones place is ___ the value of the 7 in the tens place?

The Correct Answer Is 10 times Less Than the value in the tens place.

xXxAnimexXx

have a great day!

Answer:

The area of the triangle is \(A=6 \:units^2\).

Step-by-step explanation:

The area A of a triangle is given by the formula \(A=\frac{1}{2} bh\) where b is the base and h is the height of the triangle.

From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is

\(A=\frac{1}{2} \cdot3\cdot 4=\frac{12}{2}=6 \:units^2\)

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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Answer:

Stey−intercept=−  1 /1   =−1.00000

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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Answer:

There is a discontinuity at x=1

Step-by-step explanation:

The required value of x for the discontinuity of f(g(x)) is 1.

A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x). A function is continuous at a point when both its left and right hand limits are equal to the value of the function at that point.

The given functions are f(x) = (x² - 5x + 4)/(x - 1),

And, g(x) = \(2^{x - 3}\)

Then, the composite of given functions f(g(x)) can be written by replacing x with g(x) in f(x) as below,

f(g(x)) = \(2^{2x - 6} - 5\times2^{x- 3} +4/2^{x- 3} - 1\)

Since, at x = 1 f(x) is not defined.

It implies f(x) is discontinuous at x = 1.

Then, f(g(x)) is also discontinuous at x = 1.

Hence, the function f(g(x)) is discontinuous at x = 1.

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The true statement about the result is that D. The survey suffers from voluntary response bias and may not estimate true support for the extended hours

From the information, in order to measure support for extended hours, the citizen visits neighborhood homes and asks adults the research question.

This illustrates bias as the citizen wants to propose to the city council extending the hours at the local public library on some weekdays.

Therefore, the true support may not be illustrated. In conclusion, the correct option is D.

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The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

there are no sequences pls edit or repost so i can help : )

Answer:

9: 89°

Step-by-step explanation:

Inside of a triangle is 180, so 180-39-52=89

I'm sorry I can't answer 10 for you

Answer:

hey um how many pounds of meat do we know that yet?

Answer:

49 hamburgers