A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help

Answer:

20%

Step-by-step explanation:

x = k√y

Increase y by 44%. y becomes 1.44y.

x = k√(1.44y)

x = 1.2k√y

x went from k√y to 1.2k√y.

(1.2k√y)/(k√y) = 1.2

x is now 1.2 times greater than it was, so the increase in x is 20%.

Answer: 20%

Answer:

Area is 140 ft2

perimeter is 54 ft

Answer:

54 and 140

Step-by-step explanation:

If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.

The area is 140, because if you multiply 20 by 7, thn you get 140.

Hope that this helps!

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

Answer:

yes b and d

Step-by-step explanation:

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

Answer:

The wright answer is 16.33 inches

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

161 + 600

761

hope this helped :)

Answer:

761 yd ^3

Step-by-step explanation:

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

G. A. B. O

By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges

Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

Answer:

it may be 19 or 20 but I may be wrong

Step-by-step explanation:

sorry if I'm wrong

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

Answer:

20°

Step-by-step explanation:

;b

Answer:

x=40

Step-by-step explanation:

The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).

<RTS=(1/2)(mQP-mRS)

(x/2)=(1/2)((x+70)-(x+30))

x=x+70-x-30

x=40

Answer:

I got an F- on math soo i cannot help i am sorry

Step-by-step explanation:

.-.

Answer:

8.0

Step-by-step explanation:

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

[tex]\mu = 6*0.6 = 3.6[/tex]

The probability of scoring four goals is:

[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]

Probability of two assists:

40% of 2 are assists, which means that:

[tex]\mu = 6*0.4 = 2.4[/tex]

The probability of getting two assists is:

[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]

Probability of four goals and two assists:

[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]

0.05 = 5% probability that he has four goals and two assists in one game

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

[tex]\sqrt{x^2} =\sqrt{25}[/tex]

x = 5

Volume of a cone = pi x r^2 x h/3

Volume = pi x 4^2 x 6/3

Volume = 32pi cubic inches ( in.^3)

suzy will be walking around the circumfernnce of the fountain

circumfernce= [tex]2\pi r[/tex]

r is half of the diameter so it will be 5

[tex]2\pi (5)=31.4[/tex]

as she walks around it 3 times it will be

[tex]31.4 *3 = 94.2 feet[/tex]

so the answer is H. 94.2 feet

please mark as brainliest

Answer:

b

Step-by-step explanation: