A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?

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Answer:

t = 14

Step-by-step explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14

Answer:

[tex]t=14[/tex]

Step-by-step explanation:

We begin with the equation: [tex]log(7t+2)=2[/tex]

The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.

This gives us

[tex]10^{log(7t+2)} =10^2[/tex]

The base 10 and the log will cancel out to give us

[tex]7t+2=100[/tex]

Then we can solve for t

[tex]7t+2=100\\\\7t=98\\\\t=\frac{98}{7} \\\\t=14[/tex]

Answer:

B = 80

Step-by-step explanation:

y = 4x

y = 1/2x + 280

Substitute one equation into another.

4x = 1/2x + 280

Combine like terms

3.5x = 280

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.

Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,

4x = (1/2)x + 280

4x - (1/2)x = 280

(7/2)x = 280

7x = 560

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.

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Answer:

1

Step-by-step explanation:

Answer:

Im pretty sure there isnt a way to be able to watch it for free, but good luck!

Step-by-step explanation:

Answer:

i cant give you the link, but it's on for free at animelabs.

Step-by-step explanation:

How is this math?

============================================================

Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

-------------------

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

-------------------

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

Answer:

2/3

Step-by-step explanation:

start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!

Answer:

M = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The two coordinate points given are (2,2) and (-1,0).

We can use the slope formula to find the slope.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{0-2}{-1-2}[/tex]

[tex]m=\frac{-2}{-3} or \frac{2}3}[/tex]

Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20

Answer:

3.  AC

4. DC

Step-by-step explanation:

3. The largest interior angle and side are opposite each other.

The largest angle is angle B so AC is the longest side

4. The smallest interior angle and side are opposite each other.

The smallest angle is A so DC is the shortest side

Answer:

dc is the correct answer

Step-by-step explanation:

Answer:

6,431

Step-by-step explanation:

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

Answer:

[tex]3x^{2} -3x-6[/tex]

Step-by-step explanation:

Answer:

C /2pi  = r

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi*r

We want to solve for r

Divide each side by 2 pi

C / 2pi = 2*pi*r / 2pi

C /2pi  = r

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

                    ------------------------------

                     1- (1+.0404/12)^-240

101000

-----------------

1-.44635

101000

-----------------

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

Answer:

V = 602.88 cm cubed

Answer:

7 (2 + x ) ( 2 − x )

The factored form of the given binomial is 7(x+2)(2-x)

A factor is a number that divides another number, leaving no remainder.

Given is a binomial, we are asked to factorize it,

28 - 7x²

7(4) - 7(x²)

= 7(4-x²)

= 7(x+2)(2-x)  {∵ a² - b² = (a+b)(a-b)}

Hence, the factored form of the given binomial is 7(x+2)(2-x)

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Answer:

10 months

Step-by-step explanation:

So you should pick equation B, since it fits all the criteria.

Solve it:

25m + 33950 = 35700 - 150m

175m = 1750

m = 10

We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.

We will use slant height of a pyramid formula to solve our given problem.

[tex]s=\sqrt{h^2+\frac{1}{4}a^2}[/tex],where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}[/tex]

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 144}[/tex]

[tex]10=\sqrt{h^2+36}[/tex]

Switch sides:

[tex]\sqrt{h^2+36}=10[/tex]

Let us square both sides:

[tex](\sqrt{h^2+36})^2=10^2[/tex]

[tex]h^2+36=100[/tex]

[tex]h^2+36-36=100-36[/tex]

[tex]h^2=64[/tex]

Now we will take positive square root of both sides.

[tex]\sqrt{h^2}=\sqrt{64}[/tex]

[tex]h=8[/tex]

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

Answer:

5 is the answer I hope it helps

Answer:

17. 600 18. C.relative

Step-by-step explanation:

17. 900/3=300, but because she uses 2 tires at the same time you have to multiply it by 2

18. there is no actual coordinate so it wouldn't be absolute, and combination isn't a thing

Answer:

5

Step-by-step explanation:

Answer:

Joel took 70 total shots on goal on Wednesday.

Step-by-step explanation:

Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?

Answer:

the answer might be 'scariest zoo animal'

Step-by-step explanation:

hope this helps

Answer:

i think the answer is "favorite zoo animal"

Step-by-step explanation:

because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"

See the attached picture.

The answer is c. 17,050 batteries

The number of expected batteries to last between 3 years and one month and 3 years and seven months is 17,050 batteries.

Option C is the correct answer.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

First, we need to standardize the range of shelf life between three years and one month (3.08 years) and three years and seven months (3.58 years) using the formula:

z = (x - μ) / σ

where x is the shelf life in years, μ is the mean shelf life in years, and σ is the standard deviation in years.

Now,

For the lower bound:

z = (3.08 - 3.33) / 0.25

z = -1.00

For the upper bound:

z = (3.58 - 3.33) / 0.25

z = 1.00

Now,

We use a standard normal distribution table or calculator to find the area under the curve between z = -1.00 and z = 1.00, which represents the proportion of batteries that can be expected to last between three years and one month and three years and seven months.

This area is approximately 0.6826.

Finally,
We multiply this proportion by the total number of batteries in the production run to find the expected number of batteries that meet the criteria.

expected number = proportion x total number

expected number = 0.6826 * 25,000

expected number ≈ 17,065

Therefore,

The number of expected batteries is 17,050 batteries.

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Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = [tex]\frac{3}{10}[/tex]

Remaining distance =[tex]1-\frac{3}{10}=\frac{7}{10}[/tex]

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday =[tex]\frac{3}{7}(\frac{7}{10})[/tex]

Distance traveled on Sunday =[tex]\frac{3}{10}[/tex]

Fraction of the total distance to her grandmother's house was traveled on Sunday =[tex]\frac{3}{10}[/tex]

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

Bar chart associated with the question is attached below

Answer:

Range of digital is 800

CDs have a higher mean than digital

Digital's mean is around 467.

Both have the same interquartile range

Step-by-step explanation:

CDs have a mean higher than digital

Range of digital is 800 (900 - 100 = 800)

Both have the same interquartile range

(Q3 - Q1)

DIGITAL :

(900+700+500+300+300+100)

700 - 300= 400

CDs:

(1000+800+800+600+400+200)

800 - 400= 400

Digital mean :

(900+700+500+300+300+100) / 6

2800/6 = 466.67 = 467

CD mean :

(1000+800+800+600+400+200) /6

=633.333

Median of CD:

1000+800+800+600+400+200

(800+600)/ 2 = 700

Median of Digital :

(500+300)/2 = 400

Answer:

A: CDs have a higher mean than digital.

B: The range of digital is 800.

D: Both have the same interquartile range.

F: Digital’s mean is around 467.

Step-by-step explanation:

edg2020

Answer:

Hello and welcome to Brainly!  Thank you for posting your first question! I hope you enjoy your time here on Brainly!

The awnser to your question is. The required inequality is 6+4p>17

Step-by-step explanation:

Let p represent the number of runs per inning.

It is given that the team scores the same number of runs per inning and the other team did not score any more points. So, the total score of other team after last four inning is 17.

Kim's team total score in last four inning is 4p. So, the total score of Kim's team after last four inning is

Kim's team win if the total score of other team after last four inning is less than the Kim's team.

Hope this helped!!

Answer:72 minutes

Step-by-step explanation:

30/25=  1.2 * 60= 72

Answer:

7.5 ?

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

We are given information that the two triangles are similar and we want to work out the length of "t" . Since these 2 triangles are similar, it means that a scale factor is used to enlarge the sides, we can work out the scale by dividing QP by LJ and RP by KJ so,

QP ÷ JK = 25 ÷ 5 = 5

RP ÷ JL = 22.5 ÷ 4.5 = 5

So we can see the scale factor is 5, now all we need to do is multiply the scale factor by 1.5 to find the value of t

1.5 × 5 = 7.5

The value of t is 7.5