What is the volume of the figure in cubic inches?

What Is The Volume Of The Figure In Cubic Inches?

Answers

Answer 1

Solution

First, we need to convert the dimensions in feet to inches

[tex]\begin{gathered} \text{ since } \\ 1\text{ ft}=12\text{ inches} \\ \\ \Rightarrow1.5\text{ ft}=1.5\times12\text{ inches}=18\text{ inches} \\ \Rightarrow0.5\text{ ft}=0.5\times12\text{ inches}=6\text{ inches} \end{gathered}[/tex]

Hence, the volume is;

[tex]V=l\times b\times h[/tex]

[tex]V=4\times18\times6=432\text{ inches cubic}[/tex]


Related Questions

Which parabola corresponds to the quadratic function y = 2x2 + 4x - 16? D. A. B. C. 10:13 1618 10- 12 =10 10 28 -20

Answers

We can see that the y-intercept would be (0,-16) since this is the result of replacing x=0 in the function.

We can also find the x-intercepts solving the equation 0=2x^2+4x-16. Doing so, we have:

[tex]\begin{gathered} 0=2x^2+4x-16 \\ 0=x^2+2x-8\text{ (Dividing by 2 on both sides of the equation)} \\ 0=(x+4)(x-2)\text{ (Factoring)} \\ \text{ We can see that the solutions of the equation are x=-4 and x=2} \\ \text{Therefore the x-intercepts are (-4,0) and (2,0)} \end{gathered}[/tex]

The graph that satisfies the conditions we have found previously is the option A.

A triangle has squares on its three sides as shown below. What is the value of x? 4 centimeters 7 centimeters 5 centimeters 3 centimeters

Answers

[tex]\begin{gathered} \text{ By pythagoras' theorem, we have tha}t \\ x^2=3^2+4^2 \\ x^2=9+16 \\ x^2=25 \\ x=\sqrt[]{25} \\ x=5 \\ \\ \text{thus x=5 centimeters} \end{gathered}[/tex]

A homeowner estimates that it will take 9 days to roof his house. A professional roofer estimates that he could roof the house in 5 days. How long ( in days ) will it take if the homeowner helps the roofer?

Answers

Solution:

If x denote the days, the rate unit being Jobs per day is:

[tex]\frac{1}{x}=\frac{1}{9}+\frac{1}{5}[/tex]

this is equivalent to

[tex]\frac{1}{x}=\frac{5+9}{45}=\frac{14}{45}[/tex]

solving for x, we get:

[tex]x\text{ = }\frac{45}{14}=3.2\text{ days}[/tex]

that is just a little more than 3 days.

The volume of the rectangular prism is 105 cubic yards. What is the surface area of the prism in square feet?​

Answers

Answer is about 198.18

Answer:

198.18 is the answer

Step-by-step explanation:

the answer is 198.18

hope it helps

a point is chosen at random in the large square. find the probability that the point is in the smaller shaded square. each side of the large square: 16 cmeach side of the shaded square: 6 cm*round to the nearest hundredth

Answers

The Probability of the point being in the smaller shaded square is 0.79.

What is meant by probability?Probability equals possibility. It is a branch of mathematics concerned with the occurrence of a random event. The value ranges from 0 to 1. Probability has been introduced in mathematics to predict how likely events are to occur.Probability = the number of possible outcomes. the total number of possible outcomes For example, the probability of flipping a coin and getting heads is 12, because there is only one way to get a head and the total number of possible outcomes is two (a head or tail).The probability is a measure of the likelihood of an event occurring. It assesses the event's likelihood. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the probability formula.

Therefore,

|Ω| = 6² = 36

< br / > |A| = 3.14.3² = 278.26

Then we get,

< br / > P |A| = 28.26/36 ≈ 0.79

∴ the probability that the point is in the smaller shaded square is 0.79

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Solve the following compound inequality:0< x+7< 9

Answers

you need to subtract 7 in each section of the inequality is

-7< x<2

-7< x and x<2

graph the function y=sqrt(x+6)+2. which point lies on the graph

Answers

Explanation

We are given the following function:

[tex]y=\sqrt{x+6}+2[/tex]

We are required to graph the function.

Using a graphing calculator, we have:

Hence, the answer is (-2, 4).

The last option is correct.

A tank in the shape of a hemisphere has a diameter of 10 feet. If the liquid that fills the tank has a density of 74.4 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

Step 1

State the volume of a hemisphere.

[tex]v=\frac{2}{3}\pi r^3[/tex]

Where;

[tex]\begin{gathered} r=\frac{diameter}{2}=\frac{10}{2}=5ft \\ \end{gathered}[/tex]

Step 2

Find the volume of the hemisphere

[tex]v=\frac{2}{3}\times\pi\times5^3=\frac{250\pi}{3}ft^3[/tex]

Step 3

Find the total weight of the liquid in the tank

[tex]\begin{gathered} \text{Density}=\frac{mass}{\text{volume}} \\ 74.4=\frac{mass}{\frac{250\pi}{3}} \\ \text{mass}=19477.87445lb \\ \text{mass}\approx19478lb \end{gathered}[/tex]

Hence the total weight of the liquid in the tank to the nearest full pound = 19478lb

54 is 120 percent of what number ?

Answers

Answer:

120% of 54 =

120% × 54 =

120/100 × 54 =

(120 ÷ 100) × 54 =

120 × 54 ÷ 100 =

6,480 ÷ 100 =

64.8

Percentage of 120% of 54

120% of 54 = 64.8

and to prove that we got the right answer do what we did above in reverse below

64.8 ÷ 54 =

1.2 =

1.2 × 100/100 =

(1.2 × 100)/100 =

120/100 =

120%

Step-by-step explanation:

Position Value of Term 1 1 2 3 -18 1-24 5 -30 What expression shows the relationship between the value of any term and n, its position in the sequence?

Answers

[tex]-6,-12,-18,-24,-30,\ldots,[/tex]

basically they are the negative multiples of 6, so:

[tex]a_n=-6n[/tex]

The quadratic equation y= -16t^2 +4t+2 represents a moving objects trajectory where y is the objects height in feet above the ground after t seconds . At what time will the objects hit the ground ?

Answers

Since y is the object's height, it will be on the ground when y = 0. So let's do that:

[tex]0=-16t^2+4t+2[/tex]

Here, we can use Bhaskara's Formula to find the roots of the equation:

[tex]\begin{gathered} t=\frac{-4\pm\sqrt[]{4^2-4\cdot(-16)\cdot2}}{2\cdot(-16)} \\ t=\frac{-4\pm\sqrt[]{16+128}}{-32}=\frac{-4\pm\sqrt[]{144}}{-32}=\frac{-4\pm12}{-32} \\ t_1=\frac{-4+12}{-32}=\frac{8}{-32}=-0.25 \\ t_2=\frac{-4-12}{-32}=\frac{-16}{-32}=0.5 \end{gathered}[/tex]

Since the time at start is 0, we can't have a negative sign, it would be like saying what happened before the object was in the air. The it will hit the ground at t = 0.5 s.

Solve for x in the parallelogram below.​

Answers

Answer:

3

Step-by-step explanation:

In parallelogram, opposite sides are equal.

Here,

5x + 2 and 17 are opposite sides.

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 15 / 5

x = 3

x = 3

The equation should look like this:
5x + 2 = 17

Why 17? Because if you look at the opposite side of the parallelogram, you can see a parallel line that is the exact same length. Since it also isn’t an equation, we can tell this would be the true length of it.

Okay, to solve it, first subtract 2 on both sides of the equation. Why? Because on the left side of the equation (the numbers before the equal sign) we can see that there is one coefficient (number with a variable) and one constant (just a plain number). In equations like this, you want only coefficients or constants per side. To remove the constant from the left side, do the inverse of the number. Always remember that whatever you do on one side, has to be done to the other.

5x + 2 - 2 = 17 - 12

This equals:
5x = 15

Now, just divide by the coefficient, in this case 5, on both sides. This removes the 5.
5x/5 = 15/5

This leaves:
x = 3

what is 9.77 with 8% tax

Answers

it will be 9.77+0.08(9.77)=10.5516

The area of a semicircle is 0.5652 square inches. What is the semicircle's diameter? Use 3.14 for a inches Submit can you explain

Answers

Given :

The area of semicircle is given as 0.5652 sq.inches.

To find:

The diameter of semicircle which is denoted as d.

Explanation:

The area of semicircle is given as

[tex]A=\frac{\pi r^2}{2}[/tex]

The relation between radius and diameter is

[tex]d=2r[/tex]

Now substitute the given area in the area of semicircle formula.

[tex]0.5652=\frac{3.14\times r^2}{2}[/tex][tex]r=\sqrt[]{\frac{2\times0.5652}{3.14}}=\sqrt[]{0.36}[/tex][tex]r=0.6in[/tex]

The semicircle diameter is determined as

[tex]d=2r\Rightarrow2\times0.6=1.2in[/tex]

Answer:

Hence the diameter of semicircle is determined as 1.2 in.

IN Date OUT IN OUT Employee Time Card: 7:30 10/1 11:30 4:15 12:00 John Apple 10/2 8:15 11:00 5:15 11:45 10/3 11:15 3:55 7:00 12:10 Dept: Cust. Serv. 4:30 10:55 12:00 6:25 10/4 NOTE: NO OVERTIME 1:30 5:00 12:45 10/5 6:00 TOTAL HOURS RATE per hour: $13.75 What is John's total pay for the week? deneaker notes

Answers

I can see it now

thank you

11:30-7:30= 4h

11:00-8.15=2:45h

11:15-7:00=4:15h

10:55-6:25=4:30h

10:45-6:00=4:45h

Total = 4+2.75+4.25+4.5+4.75=20.25

4:15-12:00=4:15h

5:15-11:45=5:30h

3:55-12:10=3:45h

4:30-12:00=4:30h

5:00-1:30=3:30h

Total = 4.25+5.5+3.75+4.5+3.5=21.5

Total hours = 21.5+20.25=41.75

ok, the total pay would be:

Rate per hour * total hours:

[tex]13.75\times41.75=574.0625[/tex]

Did you get the same value? hello? are you still with me? ok

do you have any question? oh, remember: After our session, the answer is saved in your profile . My pleasure

How do I do this, I’m unsure how to go about it

Answers

Given:

[tex]\sqrt{\frac{6}{x}}\cdot\sqrt{\frac{x^2}{24}}[/tex]

Simplify:

[tex]=\sqrt{\frac{6}{x}}\cdot\frac{\sqrt{x^2}}{\sqrt{24}}=\sqrt{\frac{6}{x}}\cdot\frac{x}{2\sqrt{6}}[/tex]

Apply the properties of fractions:

[tex]=\frac{\sqrt{\frac{6}{x}}x}{2\sqrt{6}}[/tex]

Simplify:

[tex]=\frac{\frac{\sqrt{6}}{\sqrt{x}}x}{2\sqrt{6}}=\frac{\sqrt{6}\sqrt{x}}{2\sqrt{6}}[/tex]

Eliminate common terms:

[tex]=\frac{\sqrt{x}}{2}[/tex]

Answer:

[tex]\frac{\sqrt{x}}{2}[/tex]

Find the area of a circle with a Diameter = 12 ft. Use 3.14 for π and round to 2 decimal places.

Answers

Given:

Diameter of circle = 12ft

pi = 3.14

Solution

The area (A) of a circle can be calculated using the formula:

[tex]\begin{gathered} A\text{ = }\pi r^2 \\ \text{where r is the radius of the circle} \end{gathered}[/tex]

Recall that the diamter (d) and radius (r) are related by the formula:

[tex]\begin{gathered} \text{radius = }\frac{diameter}{2} \\ r\text{ = }\frac{d}{2} \end{gathered}[/tex]

We can now find the radius (r) of the circle to be:

[tex]\begin{gathered} r\text{ = }\frac{12}{2} \\ r\text{ = 6 ft} \end{gathered}[/tex]

We can now find the area by the applying the formula given above:

[tex]\begin{gathered} A\text{ = }\pi\times r^2 \\ A\text{ = 3.14 }\times6^2 \\ =113.04ft^2\text{ (2.dp)} \end{gathered}[/tex]

Answer: 113.04 square feet

Let v be the vector from initial point P1=(−4,−9) to terminal point P2=(6,2). Write v in terms of i and j.

Answers

Step 1;

P1 = ( - 4 , -9 )

P2 = ( 6 , 2 )

Step 2:

[tex]\begin{gathered} \text{Let P}_1=(x_1,y_1)_{} \\ P_2=(x_2,y_2\text{ ) } \end{gathered}[/tex]

Step 3:

[tex]\text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j}[/tex]

Step 4:

[tex]\begin{gathered} \text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j} \\ \text{v = (6}-(-4))i+_{}(2-(-9)\text{) j} \\ v\text{ = (6+4)i + (2 + 9)j} \\ v\text{ = 10i + 11 j} \end{gathered}[/tex]

Please help. I don't really understand monomials and negative exponets

Answers

The standard form of the monomial expression is -1x¹⁰

Monomial expression:

A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too.

Given,

Here we have the expression

(-2x³)².(-1/4 x⁴)

Now, we have to convert the expression into standard form.

To convert the expression into standard monomial form,

First we have to expand the terms, then we get,

=> (-2²x⁶).(-1/4x⁴)

Then we have to divide the variables and constants separately.

=> (4 x -1/4).(x⁶⁺⁴)

=> -1 . x¹⁰

=> -1x¹⁰

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what is the answer to a negative 4 divided by a positive 6?

Answers

The expression given as negative 4 divided by a positive 6 has a value of -2/3

How to evaluate the expression?

From the question, the expression is given as

negative 4 divided by a positive 6

Rewrite the expression properly

This is rewritten as follows

-4 divided by +6

This can be represented as

-4/6

There are no like terms in the above expression

So, we have the following equation

-4/6 = -4/6

Divide 4 and 6 by a common factor

The common factor is 2

So, we have

-4/6 = -2/3

The expression cannot be further simplified

So, we have the following equation

-4/6 = -2/3

Hence, the value of the expression is -2/3

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The expression given as "negative 4 divided by a positive 6" has a value of that is -2/3

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

From the problem, the expression is given as;

"negative 4 divided by a positive 6"

Rewrite the expression properly then;

-4 divided by +6

This can be express as;

-4/6

There are no like terms in the expression

So, we have the equation;

-4/6 = -4/6

Divide 4 and 6 by a common factor;

The common factor is 2

-4/6 = -2/3

So, we have the equation;

-4/6 = -2/3

Hence, the value of the expression will be; -2/3

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Simplify 2(2x-7) show work

Answers

Given:

[tex]2(2x-7)[/tex]

Aim:

We need to simplify the given expression.

Explanation:

Use the distributive property.

[tex]a(b+c)=ab+ac.\text{ Here a =2, b=2x and c=-7.}[/tex]

[tex]2(2x-7)=(2\times2x)+(2\times(-7))[/tex]

Multiply 2 and 2x, we get 4x and multiply 2 and (-7), we get (-15).

[tex]=4x+(-14)[/tex][tex]Use\text{ \lparen +\rparen\lparen-\rparen=\lparen-\rparen.}[/tex]

[tex]=4x-14[/tex]

Final answer:

[tex]2(2x-7)=4x-14[/tex]

Find the missing number so that the equation has infinitely many solutions.

Answers

we have the equation

-2x-9=-2x-?

Remember that

If in a system of two linear equations, we have two identical lines

then

The system has infinite solutions

therefore

the missing number is 9

-2x-9=-2x-9

The function table below is intended to represent the relationship y=-5x+1. However, one of the entries for y does not correctly fit the relationship with x.

Answers

Answer:

Step-by-step explanation:

none of the answers are correct

Which of the following is the horizontal asymptote for the graph below?10A x=-7B. X=0ООC. y - 0C D. y = -7

Answers

A horizontal like y = k, where k is not part of the graph, but guides the function for x-values “far” to the right and/or “far” to the left.

The horizontal asymptote can be observed in the figure below:

Answer: y = 0.

in slope intercept form what is the line perpendicular to y=2x -5 that passes through the (2, -5) point

Answers

The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = -\frac{1}{2}x - 4[/tex]  is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

The given equation of line is y = 2x-5

Slope of this line = 2

Slope of the line perpendicular to this line = [tex]-\frac{1}{2}[/tex]

The line passes through (2 , -5)

Equation of the required line = [tex]y - (-5) = \frac{1}{2}(x - 2)[/tex]

                                                    [tex]y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4[/tex]

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Parallel and Perpendicular LinesDetermine whether the following lines are parallel, perpendicular, orneither. Write the corresponding letter on the line next to the question.A = parallel, B = perpendicular, or C = neither1. y = }x+6 and y =- *x + 4

Answers

[tex]y=\frac{7}{3}x+6\text{ \& y=-}\frac{3}{7}x+4[/tex]

One of the criteria for lines being perpendicular is the fact that the slope of the function in a perpendicular line is the inverse of the slope of the first times -1.

And as you can see m (being the slope of the first equation) is the inverse of the second equiation:

[tex]m=\frac{7}{3},m_1=-\frac{1}{m}[/tex][tex]-\frac{1}{m}=-\frac{1}{\frac{7}{3}}=-\frac{3}{7}[/tex]

Therefore line 1 is perpendicular to line 2.

If a,b ,and c represent the set of all values of x that satisly the equation below, what is the value(A+ b+ c) + (abc)?X^3-20x = x^2(A) -1(B) 0(C) 1(D) 9

Answers

First, we need to find the solutions a, b, and c of the equation:

[tex]x^3-20x=x^2[/tex]

We can rewrite it as:

[tex]\begin{gathered} x^3-x^{2}-20x=0 \\ \\ x(x^{2}-x-20)=0 \\ \\ x=0\text{ or }x^{2}-x-20=0 \end{gathered}[/tex]

Thus, one of the solutions is a = 0.

To find the other solutions, we can use the quadratic formula. We obtain:

[tex]\begin{gathered} x=\frac{-(-1)\pm\sqrt[]{(-1)^{2}-4(1)(-20)}}{2(1)} \\ \\ x=\frac{1\pm\sqrt[]{1+80}}{2} \\ \\ x=\frac{1\pm\sqrt[]{81}}{2} \\ \\ x=\frac{1\pm9}{2} \\ \\ b=\frac{1-9}{2}=-4 \\ \\ c=\frac{1+9}{2}=5 \end{gathered}[/tex]

Now, we need to find the value of the expression:

[tex]\mleft(a+b+c\mright)+abc[/tex]

Using the previous solutions, we obtain:

[tex]\mleft(0-4+5\mright)+0(-4)(5)=1+0=1[/tex]

Therefore, the answer is 1.

a triangular pyramid has four faces h = b = 1. What is the pryimands surface area?(There's no image)(

Answers

Let's find the area of one face

[tex]A=\frac{bh}{2}[/tex]

Where h = b = 1.

[tex]A=\frac{1\cdot1}{2}=\frac{1}{2}[/tex]

Given that there are four faces, we have to multiply the area above by 4

[tex]S=4\cdot\frac{1}{2}=2[/tex]Hence, the answer is 2 square units.

Kristy downloads two songs to her MP3 player. The songs are 3 1/10 minutes and 4 2/3 minutes long. About how many minutes of memory will these two songs use altogether?

Answers

We have:

Song 1 = 3 1/10 minutes

Song 2 = 4 2/3 minutes

Minutes of memory of two songs:

[tex]3\frac{1}{10}+4\frac{2}{3}=\frac{31}{10}+\frac{14}{3}=\frac{3\times31+10\times14}{30}=\frac{93+140}{30}=\frac{233}{30}=7\frac{23}{30}[/tex]

Answer:

[tex]7\frac{23}{30}\text{ minutes}[/tex]

What is an equation of the line that passes through the points (-3,-5) and (-5, -3)? Put your answer in fully reduced form.

Answers

Express the general equation of a line passing through two points (x1,y1) and (x2,y2).

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Put (-3,-5) for (x1,y1) and (-5,-3) for (x2,y2) implies,

[tex]\begin{gathered} y+5=\frac{-3+5}{-5+3}(x+3) \\ y+5=\frac{2}{-2}(x+3) \\ y+5=-x-3 \end{gathered}[/tex]

Further simplifying gives,

[tex]y=-x-8[/tex]

Therefore, the equation of the line is y=-x-8.

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