The cross-section of the prism below is a compound shape formed of two
rectangles.
Work out the volume of the prism.
Give your answer in cm³.

Answer:

y 9 5 473648

Step-by-step explanation:

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

432.71

Step-by-step explanation:

Answer:

the answer is 8

Answer:

You would use one quart of red paint and 2.4 quarts of blue paint.

Step-by-step explanation:

You first want to make 3 2/5 into a decimal. To do that you multiply 3x5 and add 2 which equals 17/5. Then you divide 17 by 5 and you get 3.4. So, now you know that you want your blue paint plus your red paint to equal 3.4 So, add 4/5 and 1/3 which equals 1.13333333333. Multiply 1.13333333333 and 3 which equals 3.4. So use the equation (4/5+1/3)x3 and you'll get 3.4. This shows that everything that you do was right.Then multiply just 1/3 x 3 and you'll get your answer which is 1. Then multiply just 4/5 x 3 and you'll get 2.4.

Answer:

x = -3

Step-by-step explanation:

3 + 6 = 9

9 = -1x + 6

-1x = 9 - 6 = 3

x = -3

Answer:

x = -3

Step-by-step explanation:

Remember that to find a distance between two numbers, we have to subtract the least number from the greater one. So, in this case, we have -4 and 5, where 5 is greater than -4.

Answer:

4.5ft per side

Step-by-step explanation:

square has four equal sides and is L times w times h= A but we have A= 18 already so you reverse and divide so

18/4=4.5

Answer:

4 x \(10^{8}\)

Step-by-step explanation:

Round the number to

400,000,000

4 x \(10^{8}\)

We moved the decimal 8 places.

Answer:

4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.

Step-by-step explanation:

Due tο the 90 degree angle created by the axes at the origin and the measurements at point p, the system is knοwn as being rectangular.

What is Cartesian coordinate system?

A Cartesian coordinate system in a plane is a system of cοordinates that uniquely identifies each pοint by a pair of numerical coordinates. The coordinates (Xp, Yp) shοw where point p is in relation to the origin. Because the angle created by the axes at the οrigin and the angle created by the measurements at point p are bοth 90 degrees, the system is referred tο as rectangular. Thus, the measurement has sides of Xp and Yp, fοrming a rectangle.

These numerical coοrdinates are the signed distances from two fixed perpendicular οriented lines to the point, measured in the same unit of length.

In any case, for any convex polygon (including rectangle) the test is very simple: check each edge of the polygοn, assuming each edge is oriented in cοunterclockwise direction, and test whether the point lies tο the left of the edge (in the left-hand half-plane). If all edges pass the test - the pοint is inside. If at least οne fails - the point is outside.

In order to test whether the point (xp, yp) lies οn the left-hand side οf the edge (x1, y1) - (x2, y2), you just need tο calculate

D = (x2 - x1) * (yp - y1) - (xp - x1) * (y2 - y1)

If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the pοint is on the line.

The previous versiοn of this answer described a seemingly different version οf left-hand side test . But it can be easily shοwn that it calculates the same value.

In order to test whether the point (xp, yp) liesοn the left-hand side of the edge (x1, y1) - (x2, y2), yοu need to build the line equation for the line containing the edge. The equatiοn is as follows

A × x + B × y + C = ∅

where

A = -(y2 - y1)

B = x2 - x1

C = -(A * x1 + B * y1)

Now all you need to dο is to calculate

D = A * xp + B * yp + C

If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the point is on the line.

However, this test, again, wοrks for any convex polygon, meaning that it might be too generic fοr a rectangle. A rectangle might allow a simpler test... For example, in a rectangle (οr in any other parallelogram) the values of A and B have the same magnitude but different signs for opposing (i.e. parallel) edges, which can be explοited to simplify the test.

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Step-by-step explanation:

6.3%

that is the correct answer

Check the picture below.

Answer:

No

Step-by-step explanation:

It is a parallelogram but it does not contain at least 2 right angles.

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

Answer:

x=-192

Step-by-step explanation:

simplyfying we get

2/3x-4= 3/4x+12

so subratcing 2/3 on both sides we get

-4= 9x/12- 8x/12+12

subtracting 12 from both sides we get

-16= x/12

x= -192

if my answer helps please mark as brainliest

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

Because 7 goes into both 14 and 70

7 goes into 14 two times, and 7 goes into 70 ten times so that would look like \(\frac{2}{10}\)

But, we can reduce that a little more, because 2 goes into 2 once, and 2 goes into 10 five times. Therefore, \(\frac{1}{5}\) is a reduced fraction

Answer: 1/5

Step-by-step explanation: divide both numerator and denominator by 14

Answer:

y=50°

x=232°

Step-by-step explanation:

cuz y+130=180

y=50

and

y+68+x=360°

50+68+x=360°

so x =232

The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

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Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

\(30*0.06=1.80\)

\(30+1.80=31.80\)

final cost: $31.80

Hope this helps!

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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9514 1404 393

Answer:

Step-by-step explanation:

The first part of the question appears to be answered already:

  The sale price is 75% % of the regular price.

__

The equation representing this fact is ...

  s = 0.75(35)

The average rate of change of the function over the interval is 1

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

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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The values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0

Given: There are two rows in the given table.

namely x and y.

What are the inverses for an ordered pair?

For a given ordered pair (x, y) the inverse is defined as (y, x). The x and y values interchange their places.

In functional terms, for a given function y = f(x), the inverse is finding the value of x that will be x = f⁻¹(y).

So the inverse for the given function y = f(x) is x = f⁻¹(y).

In graphical terms the inverse can be defined as the points which are mirror image with respect to the axis. That is when we fold the graph about the line of symmetry or let's say axis, the two points in the opposite region of the graph coincides.

Why are inverses important?

Inverses are important because they reverse the mathematical function. Finding the invert is also one of the most important question in mathematics.

Now let's solve the question.

Observe the given table. From the given grey and orange table we see that the values of x are placed in the values of y and the value of y are placed in the value of x respectively.

We can say that the orange table is the inverse of the grey table or the grey table is the inverse of the orange table.

Therefore by comparing and equating values in both grey and orange table we find that:

a = -3.8

b = -2.6

c = 1.7

d = 4.4

e = 1.0

Hence values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0

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Disclaimer: The question is incomplete. The complete question is given below:

Find the values of a through e that make these two relations inverses of each other which are a, b, c, d, and e.

Answer:

1.2

Step-by-step explanation:

Just divide

Answer:

1.2

Step-by-step explanation:

Divide 18 by 15 and get the answer.

Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

We have given function as ,

f(x) = 1/√(x-4)

We have to find f(x) - f(5)/x-5

f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)

= 1/√(5-4)/(x-5)

= (x-5)/√(5-4)

= (x-5)

Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

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