A student survey his classmates to determine their favorite movies

The volume of the given figure is 104 m³.

We need to find the volume of the given figure.

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Divide the given figure into two convenient cuboids. That is one with dimensions length=4 m, breadth=4 m and height=3 m. Another with length=4 m,  breadth=7 m and height=2 m.

We know that, the volume of cuboid =l×b×h cubic units.

Now, the volume of cuboid=4×4×3=48 m³ and the volume of another

cuboid=4×7×2=56 m³.

The volume of the given figure=48+56=104 m³.

Therefore, the volume of the given figure is 104 m³.

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Based on the frequency table given, The option that closely matches the histogram I drew is option C but the last one suppose to be 7 and not 6.

Hours online   Frequency

5                           0-3

8                          4-7

10                         8-11

9                          12-15

7                           16-19

Note that in the image attached, you can see how the Hours online were said to be matched with the  Frequency.

So since option A and B was not shown to see which matches the option,  i can say option c is closest but if look at my own image, you can use it to find the right one.

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The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.

Inequality is defined as an equation that does not contain an equal sign.

The inequality is given below.

3|x| > 6

By solving the equation, we have

|x| > 2

x > 2

x < -2

Then the graph will be drawn.

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The equivalent expression of [tex](\sqrt x - 2)(\sqrt x + 9)[/tex] is [tex]x + 7\sqrt x - 18[/tex]

The expression is given as:

[tex](\sqrt x - 2)(\sqrt x + 9)[/tex]

Expand the expression

[tex]x - 2\sqrt x + 9\sqrt x - 18[/tex]

Evaluate the like terms

[tex]x + 7\sqrt x - 18[/tex]

Hence, the equivalent expression of [tex](\sqrt x - 2)(\sqrt x + 9)[/tex] is [tex]x + 7\sqrt x - 18[/tex]

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Answer:

D

Step-by-step explanation:

The number of gallons of Jet fuel that is needed to fly for an hour is; 14400 gallons

We are given;

Number of gallons burned = 4 gallons

Time to burn 4 gallons = 3 seconds

Now, for 1 hour there are 3600 seconds and so;

Number of gallons that is burnt in 3600 seconds = 3600 * 4

Number of gallons that is burnt in 3600 seconds = 14400 gallons

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The volume of the given figure is 210 cubic in..

We need to find the volume of the given figure.

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Divide the given figure into two convenient cuboids. That is one with dimensions length=4 in., breadth=2 in. and height=3 in. Another with length=4 in., breadth=4 in. and height=12 in.

We know that, the volume of cuboid =l×b×h cubic units.

Now, the volume of the cuboid=4×2×3=18 cubic in. and the volume of another

cuboid=4×4×12=192 cubic in.

The volume of the given figure=18+192=210 cubic in.

Therefore, the volume of the given figure is 210 cubic in.

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The worker's expected weekly bonus is $30.0

The amounts and the probabilities are given as:

x    $10       $50

P(x)  0.75    0.25

The worker's expected weekly bonus is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = $10 * 0.75 + $50 * 0.25

Evaluate the product

E(x) = $17.5 + $12.5

Evaluate the sum

E(x) = $30.0

Hence, the worker's expected weekly bonus is $30.0

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Answer:

[-3,5]

Step-by-step explanation:

Interval notation is a shorthand way of writing and interval of values.  To describe an interval, imagine the two endpoints on the number-line.  Then, list the two endpoint values, leftmost point from the number-line first, separated by a comma.  Lastly, include the appropriate brackets for each endpoint:

For our situation, the two endpoints are -3 and 5.  -3 is to the left of 5 on the number-line, so -3 should be listed first

[tex]-3,5[/tex]

Lastly, the directions say "including -3 and 5", so both endpoints should be included.

The final result for the interval is [tex][-3,5][/tex]

The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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A description of how the pattern is growing is that the pattern is growing by the addition of two blocks every time.

A numerical description of the pattern is:

1 - 2 blocks.

2 - 4 blocks.

3 - 6 blocks

4 - 8 blocks.

The formula that can be used to calculate the number if building blocks in any term will be 2n. For example, the number of blocks for the 5th term will be:

= 2n = 2 × 5 = 10

The value for the 10th frame will be:

= 2n

= 2 × 10 = 20

The value for the 100th frame will be:

= 2n

= 2 × 100 = 200

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This can be simplified to [tex]f(x)=x+3[/tex], and is thus a line with a slope of 1 and a y-intercept of 3.

Answer: Yes.

Step-by-step explanation: However, charging your battery to high voltages except for the first time can significantly decrease your battery's lifespan. According to some studies charging a battery to only 85% to 90% can improve its discharge cycle from 300 to even an extra 1000 recharges.

Answer:

? = 12

Step-by-step explanation:

[tex]\frac{7}{12} +\frac{10}{12} =\frac{7+10}{12} =\frac{17}{12}[/tex]

[tex]\frac{17}{12} =\frac{12}{12} +\frac{5}{12} =1+\frac{5}{12} =1\frac{5}{12}[/tex]

Hope this helps

Answer: 49 in

Step-by-step explanation:

Answer:

D, E, F is the answer.

Step-by-step explanation:

From the diagram:-

Therefore, D, E, F.

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

The surface area of the square pyramid will be 78.08 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

[tex]SA = P\times\dfrac{l}{2}[/tex]

[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

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Answer:

70%

Step-by-step explanation:

If 3 child and 7 adult is in the town, then there are total 10 people. 7 ÷ 10 is equal to 0.7, which is 70%.

The adjusted cash Balance is $8060 .

The amount of money in a person's account at any given time is the Bank Balance of that person's account.

Unadjusted bank balance       6000

Difference in the electricity bill    -180

Add: Deposit in transit               2510

Less: Outstanding Checks         -270

Adjusted cash balance                8060

So answer is a) $8060

Therefore the adjusted cash Balance is $8060 .

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Answer:

an= -3+5(n-1)

Step-by-step explanation:

Try writing out the terms and finding a pattern. In this case, inserting any plotted x-value into the sequence -3+5(n-1) produces the correct y-value.

Answer:

A.) an = -3 + 5(n - 1)

Explanation:

Given: (1, -3), (2, 2), (3, 7), (4, 12), (5, 17)

Arithmetic Series: a + (n - 1)d

['a' is first term, 'n' determines term position, 'd' is common difference]

Determine the following:

Putting into equation:

The roots of the polynomial are done by using a calculator will be -2.3671, 2.1835 + 1.2527i, and 2.1835 – 1.2527i.

The polynomial is given below.

[tex]\rm f(x) = a_0x^n + a_1 x^{n - 1}+ ....+ a_{n-2}x^2 + a_{n-1}x + a_nx^0[/tex]

The roots of the polynomial are equal to n or less than n.

And if one imaginary root is a + bi, then the other imaginary root will be a – bi.

The roots of the polynomial are done by using a calculator.

x = -2.3671, 2.1835 + 1.2527i, 2.1835 – 1.2527i

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Answer:

[tex]\mathsf {A. x = -5}[/tex]

Step-by-step explanation:

[tex]\implies \mathsf {-3 + x = -8}[/tex]

[tex]\implies \mathsf {x = -8 + 3}[/tex]

[tex]\implies \mathsf {x = -5}[/tex]

The applied factory overhead is $6,939 and  the over-or underapplied factory overhead amount for October is $461.

1. Applied factory overhead:

Predetermine overhead rate=Fixed overhead/Machine hours

Predetermine overhead rate=16,920/36,000

Predetermine overhead rate=0.47

Applied overhead=Machine hours×Rate

Variable=2700×2.10 per hour= $5,670

Fixed=2700×0.47 per hour=$1,269

Total overhead applied=$6,939

($5,670+$1,269)

2. Under applied overhead

Total overhead applied $6,939

Less Total factory overhead   $7,400

Under applied overhead -$461
($6,939-$7,400)

Therefore the applied factory overhead is $6,939 and  the over-or underapplied factory overhead amount for October is $461.

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Answer:

Step-by-step explanation:

[tex]x=\frac{-(-9)\pm\sqrt{(-9)^2-4(2)(4)} }{2 \times 2} \\x=\frac{9\pm\sqrt{81-32} }{4} \\x=\frac{9\pm\sqrt{49} }{4} \\x=\frac{9 \pm 7}{4} \\either~x=\frac{9+7}{4} =\frac{16}{4} =4\\or\\x=\frac{9-7}{4} =\frac{2}{4} =\frac{1}{2}[/tex]

Your answer is correct. The two "bases" of the trapezoid are the line segments (0, 0)-to-(y, 0) and (0, x)-to(z, x), with lengths y and z, respectively. Then the average of the bases is [tex]\frac{y+z}2[/tex]. (We know they're the bases because the line segments are parallel.)

We multiply this by the height, which is given by the length of the line segment (0, 0)-to-(0,x), or x.

Hence the area is

[tex]\dfrac{x(y+z)}2[/tex]

(which is identical to what you have).

Answer:

O c. y-int y = 4 and No x-int

Step-by-step explanation:

In the slope-intercept equation y = -3x + 4, only slope and y-intercept are displayed as it is in slope-intercept format which is y = mx + b; m being the slope and b being the y-intercept.

There is no x-intercept present in a slope-intercept equation.

But due to the 4 being in the place of the y-intercept is the y-intercept of the graph and line depicted off this linear equation (slope-intercept equation).

Hence, the answer is C. Y-intercept = 4 and No x-intercept.

Answer:

6,3

Step-by-step explanation:

hope this helps

the math section in part B shows the equation for the area of a triangle, but this math could be skipped with a similar problem if you just divide the parraellogram by 2. (logic section)

Answer:

B: 25 and 35

Step-by-step explanation:

25 product 35 875

The domain of the function is:

D: {x ∈ R | x ≥ -6}

Here we have:

[tex]f(x) = \sqrt{(1/3)*x + 2}[/tex]

Remember that the argument of a square root can be only numbers equal to or larger than zero, so the domain of that function is such that:

[tex](1/3)*x + 2 \geq 0[/tex]

Now we can solve that for x.

[tex](1/3)*x + 2 \geq 0\\(1/3)*x \geq -2\\\\x \geq -2*(3/1)\\\\x \geq -6[/tex]

So the domain of the function is:

D: {x ∈ R | x ≥ -6}

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Answer:

The domain of the function is:

D: {x ∈ R | x ≥ -6}