What is the volume of the solid figure?

The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.

A.
625 in3

B.
750 in3

C.
800 in3

D.
1,250 in3

Answer:

The circumference of the circle is 31.4 yd.

Step-by-step explanation:

From the question,

We are to determine the circumference of a circle whose diameter is 10 yd.

The formula for calculating the circumference of a circle in terms of diameter is given as

C = πd

Where C is the circumference

and d is the diameter

From the given information

d = 10 yd

and π = 3.14

Putting the parameters into the formula

We get,

C = 3.14 × 10

∴ C = 31.4 yd

Hence, the circumference of the circle is 31.4 yd.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlist please

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

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Answer:

See below for solution.

Step-by-step explanation:

[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]

LHS :-

= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]

= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]

= [tex]\frac{16-2\sqrt{55} }{6}[/tex]

= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]

= [tex]\frac{8-\sqrt{55} }{3}[/tex]

=> x = 8/3 and y = 1/3

=> Option B

[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]

= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= 214

Answer:

0.481, 0.487653287..,. and 0.48953

Step-by-step explanation:

There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Solution:

We know that:

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]

Step-1: Substitute the length, breadth, and height.

Step-2: Find the surface area.

[tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]

[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]

[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]

Answer:

b

Step-by-step explanation:

so u have to read careful

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

5 x 9 is 45

Step-by-step explanation:

just is loll

Step-by-step explanation:

by graph method

x = -b/2a

b = 3, a = -9

x = -3/-18

x = 1/6

back to the equation to substitute

-9x + 3y = 12

-9(1/6) + 3y = 12

- 3/2 + 3y = 12

-3 + 6y = 24

6y = 27

y = 9/2

x = 1/6, y = 9/2

Answer:

85

Step-by-step explanation:

82×4=328

328=74+85+84+x

x=328-74-85-84

x=85

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

Learn more about the least squares regression line here:

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Answer:

Here you go! I  hope this helps

a) (6(3))+4-(3(7))

answer: 1

b) 4(7-3)2+1 =

answer: 33

c) 7^2+5(3)−6

answer: 58

Answer:

4/9

Step-by-step explanation:

find common denominator which is 9

1/9 + 3/9 (I change the numerator because since we multiplied the bottom you do the top)

now add

1/9 + 3/9 = 4/9

hope that helps and makes since

Answer: 4/9

Step-by-step explanation: 1/9 + 1/3(which is 3/9) = 4/9.

Answer:

i dont know can someone help me out im dying over here

Answer:

Step-by-step explanation:

1. Let's review the information given to

1. Let's review the information given tous to answer the question correctly:

1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12

= 12grams

Side of the cube = 1 cm

2. What would be the mass of a lead

What would be the mass of a leadcube whose sides have length 1.5 cm?

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead = 12/1= 12 gr/cm

Now, let's calculate the volume of the

Now, let's calculate the volume of thesecond cube:

Finally, let's calculate the mass, using

Finally, let's calculate the mass, usingthe density of the lead we already

Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:

3

1/7 of 21

=1/7 ×21

=1×3

please please please please please please

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

Answer:

Step-by-step explanation:

x is smallest integer

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23.

This means that the integers are 23, 24, and 25.

Answer:

2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.

Answer:

How many minutes does it take to travel to school?

Step-by-step explanation:

A statistical question means you expect variability in the responses.

For instance, if you look at the first question, there's only 1 answer, so there's no variability. If you look at the second question, there's also only 1 answer.

How many minutes does it take to travel to school?

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

Explanation:

Choice A is not a statistical question because we don't need to use statistics to find the answer. We simply count out the number of even numbers between 10 and 20. There's no need to draw a random sample of elements and do statistical analysis.

The same goes for choice B as well. There are 7 letters in this word and this value does not fluctuate/change.

Therefore we rule out choices A and B.

Choice C on the other hand has its answer vary depending on which person you ask. If you ask enough people, then you can find the average number of minutes, which is one tool to do statistics. This variable is considered a random variable (RV).

Answer:

258.9894 is the total surface area