Find the area of the composite figure below:

Answer:

481 cubic inches

Step-by-step explanation:

Volume of the figure = Volume of the triangular prism + rectangular prism

Volume of the triangular prism = Base area * height

Volume of the triangular prism = (1/2*5*3) *  6

Volume of the triangular prism = 15/2 * 6

Volume of the triangular prism = 15 * 3

Volume of the triangular prism = 45in³

Volume of the rectangular prism = 16*7*3

Volume of the rectangular prism = 336in³

Volume of the figure = 45+336

Volume of the figure = 481 cubic inches

Answer:

b

Step-by-step explanation:

Answer:

36$

Step-by-step explanation:

120×0.3 =36$

or

120=100%

1.2=1% /×30

36=30%

$30 will be contributed by her father

Step-by-step explanation:

I think A is the answer to your question

Answer:

1.2

Step-by-step explanation:

12 in= 1 foot

Answer:

1.16 feet

Step-by-step explanation:

12 inches in one foot so there are 14 inches in 1.16 feet.

Answer:

75.36

Step-by-step explanation:

24 cm x 3.14 = 75.36

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

Answer:

A: 2x + 13 = 59

Step-by-step explanation:

1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:

12+2x+1=59

Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59

Answer:

Step-by-step explanation:

I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.

Answer:

A

Step-by-step explanation:

A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

A function assigns the value of each element of one set to the other specific element of another set.

In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.

The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.

To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.

Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

Look at the image.

Step-by-step explanation:

24 ÷ 4 = 6

6 × 9 = 54

24 ÷ 3 = 8

8 × 5 = 40

Answer:

x = 9

Step-by-step explanation:

2X + 10=28

Subtract 10 from each side

2X + 10-10=28-10

2X = 18

Divide each side by 2

2X/2 = 18/2

x = 9

Answer:

X=9

Step-by-step explanation:

28-10=18

2 x 9= 18

Answer:

25

Step-by-step explanation:

4(4) + 3^2 ---> plug in 4 for v and 3 for r into the expression

16 + 9 = 25

hope this helps!

Answer:

A. the graph represent a one - to - one function because every x-value is paired with only y-value

Step-by-step explanation:

that's it

Answer: (2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

Step-by-step explanation:

A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.

(1) {(0,4), (2,4),(2,5)}

here 2 is associated with 2 different values of second component.

Thus it is not a function.

(2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

(3)  {(4,1),(6,2), (6,3), (5,0)}

It is not a function as 6 is associated with 2 different values of second component.

(4) {(0,4),(1,4), (0,5),(1,5)}​

It is not a function as 0 and 1 are associated with 2 different values of second component.

Answer:

Equally likely

Step-by-step explanation:

A coin has two sides, heads and tails, so if you flip it, you have a 50% chance to get heads and a 50% chance to get tails. 50% - 50% is an equal ratio, therefore having an equal chance of likelyhood to get heads.

Answer:

3. y = -3x + 2

4. y = 3x - 5

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b.

3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).

Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1

m = -3

Find the y-intercept (b):

The y-intercept (b) = 2 (this is where the line intercepts the y-axis)

b = 2

✅To write the equation, substitute m = -3 and b = 2 into y = mx + b

Thus:

y = -3x + 2

4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).

Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3

m = 3

Find the y-intercept (b):

The y-intercept (b) = -5 (this is where the line intercepts the y-axis)

b = -5

✅To write the equation, substitute m = 3 and b = -5 into y = mx + b

Thus:

y = 3x + (-5)

y = 3x - 5

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

Answer:

(-4,3)

Step-by-step explanation:

Hope this helps. :)

Answer:

37.68 Inches cubed (A)

Step-by-step explanation:

The formula for a cylinder is:

πr^2(h)

First, let's find the radius, which is:

4/2 = 2

Now, we can plug in the values:

3.14(2)^2(3)

Do exponents first:

3.14(4)(3)

Multiply left to right:

12.56(3)

Again:

37.68 Inches

So, the answer is:

37.68 Inches cubed (Or A)

Hope this helps!

Answer:

16.01

Step-by-step explanation:

sin 88° = 16/x

0.9994x = 16

x = 16.01

Answer:

68276/125

Step-by-step explanation:

500+40+6+1/5+1/125

546+26/125

68276/125

Answer:

546.208

Step-by-step explanation:

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{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})

5⋅100+4⋅10+6⋅1+2x(101​)+8x(10001​)

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500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})

500+4⋅10+6⋅1+2x(101​)+8x(10001​)

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500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})

500+40+6⋅1+2x(101​)+8x(10001​)

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500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})

500+40+6+2x⋅101​+8x(10001​)

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500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})

500+40+6+51​x+8x(10001​)

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500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})

500+40+6+51x​+8x(10001​)

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500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}

500+40+6+5x​+8x⋅10001​

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500+40+6+\frac{x}{5}+\frac{1}{125}x

500+40+6+5x​+1251​x

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500+40+6+\frac{x}{5}+\frac{1x}{125}

500+40+6+5x​+1251x​

9

Multiply by 1

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500+40+6+\frac{x}{5}+\frac{1x}{125}

500+40+6+5x​+1251x​

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{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}

500+40+6+5x​+125x​

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{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}

546+5x​+125x​

Show less

Solution

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5