What is the surface area

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

Volume of a rectangular prism = lwh

where

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

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Answer:

4,013 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let me show you how to answer this question correctly.

A variable is P. Letters are represented as numbers by variables.

If you have fewer than that, you must subtract.

I hope this helps! Let me know if you have any questions.

Answer:

[tex]p - 3[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

3 fewer than p

This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.

Answer:  [tex]p - 3[/tex]

The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.370

The given parameters are:

The probability is represented using the following binomial formula

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

Using the above formula, we have:

[tex]P(x \le 15) = 0.370[/tex]

Hence, the probability is 0.370

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Answer:

The right answer is A. AA Postulate

Answer:

B) 333.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0

is b^2 - 4ac

So here we have:

(-9)^2 - 4*7*-9

= 81 + 252

= 333.

Answer:

two

Step-by-step explanation:

one and add another one

Answer:

1.257*10^5

Step-by-step explanation:

10 to the power of 5 : [tex]10^{5}[/tex]

1.257 multiply by 10 to the power of 5 : [tex]1.257[/tex] x [tex]10^{5}[/tex]

Answer:

13: 16

14: 6.28

15: √45

Step-by-step explanation:

13: Count the number of spaces from A to D or B to C, which is 4.

Then, count the number of spaces from A to B or C to D, which is also 4.

After that, multiply the two numbers. You should now have an answer of 16.

14: You want to find the diameter of the circle, which is 2.

Then, multiply 2 by 3.14, aka pi. You should now have an answer of 6.28.

*15: Count the number of spaces from A to C, which is 6.

Then, count the number of spaces from A to B, which is 3.

After that, square both of the numbers. 6 x 6 = 36 and 3 x 3 = 9.

Now, the final step. Add both numbers together. 36 + 9 = 45.

You should now have an answer of √45.

I hope this helped!

*Solved using the Pythagorean theorem. Steps one and two can be done in the opposite order.

Answer:

8

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

[tex]\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}[/tex]

To find the expected number of convertibles from the first 68 vehicles:

[tex]\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}[/tex]

Answer:

30 other vehicles + 4 convertibles = 34 cars

34 * 2 = 68

30 * 2 other vehicles + 4 * 2 convertibles = 68 cars

60 other vehicles and 8 convertibles

hope it helps you

Answer:

120 grams

Step-by-step explanation:

Since each marble has a mass of 3 grams and there are 40 marbles, simply multiply 40 * 3 which is 120 grams.

Answer:

m<A=40˚, m<C = 90˚

Step-by-step explanation:

a line is 180˚, and half of a line (C) would be 90˚.  B + A has to equal 90˚, so A has to be 40˚

Options A and B

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

Answer:

I really don't know but i'm getting a gut feeling looking at B

Step-by-step explanation:

Like i said i don't know but b seems good enough

Using translation concepts, it is found that function g(x) is given by:

[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

[tex]f(x) = \log_{2}{x}[/tex]

It was shifted 4 units down, hence:

[tex]g(x) = \log_{2}{x} - 4[/tex]

It was vertically compressed by a factor of 0.2, hence:

[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]

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Answer:

g(x)=0.2 log[tex]_{2}[/tex] (x)−4

Step-by-step explanation:

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

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Answer:

The answer is in a picture, and please mods, check the picture before deleting it can be helpful sometimes.

Step-by-step explanation:

Here it is:

Answer:

Let n be the sequence number, starting with 0.  The first number is 3, each succeeding number is incremented by 4.  The nth number would have the value 3+4n

Step-by-step explanation:

Using the above formula yields the attached table of values.  We see that if n=417, that the value of 1,671 is correctly predicted.

Answer: 2/3

Step-by-step explanation: 50/75

25 can go into both.

50 divided by 25 = 2

75 divided by 25 = 3

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

Answer:

For question 1)

Line A's Gradient= -1

y=-x+5 where 5 is the y-intercept

Line B's Gradient= 1

y=x+3 where 3 is the y-intercept

By equating two equations....

-x+5=x+3

2x+3=5

2x=2

x=1

1 solution

For question 2) answer would be the first option

Step-by-step explanation:

Answer:

Shown Below...

Step-by-step explanation:

6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25

7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4

8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.

= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

Answer: D) 375

Step-by-step explanation:

    We will find 30% of 1,250 since 30% did not vote. A percent divided by 100 becomes a decimal.

30% / 100 = 0.3

1,250 * 0.3 = 375

      D) 375 students did not vote.

Answer:

so the anwer is d 75

75

D

.......

Answer:

75

Step-by-step explanation:

i got it right

Because m and n are whole numbers, we only have 3 values for m, and 3 values for n :

[tex]1^{121} ; 11^{11} ;121^{1}[/tex] (or you can say because 121 only have the factors of 1 ; 11 ; 121, those are the only possible values for m and n, then conclude the possible values)

Now, we will substitute them in :

If m = 1 ; n = 121

[tex](1-1)^{121+1}[/tex] = 0

If m = 11 ; n = 11

[tex](11-1)^{11+1}[/tex] = 1000000000000

If m = 121 ; n = 1

[tex](121-1)^{1+1}[/tex] = 14400

Answer:

8:125

Step-by-step explanation:

24/375

simplify by dividng each by 3

= 8:125