What is the volume of the following rectangular prism? 3 1/3 1 2/5

Answer:

distance=√[(x2-x1)²+(y2-y1)²]

√[{6-(-2)}²+ (-8-(-4))²]

√(64+16)

√[100]

10

Points given

Distance:-

\(\\ \sf \longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\\ \sf \longmapsto \sqrt{(-8+4)^2+(6+2)^2}\)

\(\\ \sf \longmapsto \sqrt{(-4)^2+(8)^2}\)

\(\\ \sf \longmapsto \sqrt{64+16}\)

\(\\ \sf \longmapsto \sqrt{80}\)

\(\\ \sf \longmapsto 8.4\)

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

-1/4

Step-by-step explanation:

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

9.16

Step-by-step explanation:

formula for Geometric mean is

b = √a × √c

a = 7 and c = 12

b = √ 7×12

b = √84

b = 9.16

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y intercept is 4 as the line cuts the y axis at exact 4 units above the origin.

Answer:

-7

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

|13-15|=|-2|=2

|-5|=5

2-5=-3

Answer:

The answer is down by the image below!!!

Step-by-step explanation:

Pi/π—is defined as the ratio of the circumference of a circle to its diameter. The ratio will always be equal to pi even if the size of the circle changes.  Pi is equals to \(\dfrac{22}{7}\).

The value of pi is infinite and it is impossible to remember the value so far. We just need the value up to 4 or 5 decimal places. The value of pi to 5 decimal place is 3.14285.

The value of pi when calculated to hundred-thousandths place, is 4.

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The variance of X-bar is 12.25.

To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:

Variance of X-bar = (Population Variance) / (Sample Size)

In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.

Since we are sampling with a batch size of 16, the sample size is also 16.

Now we can substitute these values into the formula:

Variance of X-bar = 196 / 16 = 12.25

Therefore, the variance of X-bar is 12.25.

It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.

As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.

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Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

Answer:

Length of material needed = 35.8 feet

Step-by-step explanation:

Door of the wooden garage is in the shape of a rectangle with dimensions 16 ft × 8 ft.

Lincoln is going to place two boards in the shape of an X on the door.

From the picture attached,

Diagonals of the rectangular door will be equal in measure.

Therefore, length of the material = 2×(Diagonal of the rectangle)

By applying Pythagoras theorem in the rectangle,

(Diagonal)² = 16² + 8²

Diagonal = \(\sqrt{256+64}\) = 17.89

Therefore, length of material = 2 × 17.89

                                                = 35.77

                                                ≈ 35.8 feet

Answer:

96 people

Step-by-step explanation:

The number of different choices that are possible is, 2380

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items does not matter.

Given that, four members will be chosen as officers from a committee consisting of eight women and nine men.  

We need to find the different choices that are possible,

We will choose 4 out of 8+9 = 17, so the combination will be ¹⁷C₄,

We have combination =

ⁿCₓ = n! / (n-x)!x!

¹⁷C₄ = 17! / (17-4)!4!

¹⁷C₄ = 17! / 13!4!

¹⁷C₄ = 2380

Hence, the number of different choices that are possible is, 2380

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The amount of money earned by Elisa in 22 years is obtained by summing the geometric series as $1366857.15.

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)

The earning for first year is $31500.

For, the next year it is 31500(1 + 6/100) = 1.06 × 31500

For another year, 1.06² × 31500

It implies that it is a geometric sequence with a₁ = 31500 and r = 1.06.

Now, the sum of first 22 terms is given by the following expression,

S₂₂ = a₁(r²²- 1)/(r - 1)

Plug a₁ = 31500 and r = 1.06 as,

⇒ 31500(1.06²²- 1)/(1.06 - 1)

⇒ 1366857.15

Hence, the money earned by Eliza in 22 years is obtained as $1366857.15.

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Answer:

The number of particles of soil and rock particles found in the water.

Step-by-step explanation:

Since we are filtering out small particles of soil and rocks, then we can assume that they are being reduced greatly with each filter. So we can assume that since the 500 is being reduced by 65%, then the 500 is the only other thig being reduced, which in this case is the particles of soil and rocks.

In a case whereby Richard is saving money for a down payment on a car He models his savings plan with the equation y = 200x + 500 based on his current monthly savings rate  y-intercept of linear model represent B. The starting amount in his savings account.

It should be noted that in a  linear equation the y intercept  can be seen as one that is starting point  whereby x is zero, which implkies that starting balance he had is 1000 in the bank.

Therefore, from the  equation y = 200x + 500, the  y-intercept of linear model serves as the starting amount in his savings account.

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Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

The values Matilda use are A. x = 10 and y = 2

Since Matilda uses the polynomial identity (2x−y)² =4x²− 4xy + y² to show that 18² = 324, we choose the value of x = 10 and y = 2 since 2x - y = 2(10) - 2 = 20 - 2 = 18

Substituting the values of the variables into the polynomial identity, we have

(2x − y)² = 4x²− 4xy + y²

(2(10) − 2)² = 4(10)²− 4(10)(2) + 2²

(20 − 2)² = 4(100)− 4(10)(2) + 4

(20 − 2)² = 400 − 80 + 4

18² = 320 + 4

324 = 324

Since both the Left hand side and right hand side of the polynomial equation are equal, then x = 10 and y = 2

So, the values Matilda use are A. x = 10 and y = 2

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4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Answer:

2000 ft

x= 175/ tan5 which is approximately 2000.

The correct answer is Graph B

Explanation:

The purpose of histograms is to display visually the frequency of a variable. Additionally, a higher bar represents a higher frequency.

According to this, the correct histogram is graph B because in this the frequencies for each batting average are displayed correctly. For example, the highest bar is related to the average 0.330-0.339, which has the highest frequency (28), this is followed in height by the bar that represents a frequency of 24 and is related to the average 0.340-0.349.

At the same time, the averages 0.320-0.329 and 0.360-0.369 that have a frequency of 2 are represented through the shortest bars, while the average 0.350-0.359 with a frequency of 4 is related to a bar with exactly the double of heigh than those with a frequency of 2.

Answer:

graph B

Step-by-step explanation:

what happened to your screen

Answer:

\(3\sqrt{1201}\)

Step-by-step explanation:

assuming the missing side was the long side or the c side

\(a^{2} +b^2=c^2\\72^2+75^2=c^2\\5184+5625=10809\\\sqrt{10809}=3\sqrt{1201}\)

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer:

can I see a copy of the picture? I will edit answer once I can see the picture of the gingerbread man

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

2 units right

3 units up

Step-by-step explanation:

the graph y=(x+2)² is the parent function y=x^2 translated 2 units left

the graph y=x²+3 is the parent function y=x^2 translated 3 units up

so, the translation from y=(x+2)² to y=x²+3 is:

2 units right (to get to zero)

3 units up

(you can change the order if you want, it doesn't really matter here)

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

it is 17.25 it self

Step-by-step explanation:

because if the number was 17.24 upto 17.21 and less the number is 17.20 and if the number was 27.26 upto 17.29 it will rounded to 17.30.

l hope it would help

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