Which shows the correct expression for finding the volume of the composite figure above?
A. (7x15x5)+(1/2x3x7)
B. (7x12x5)+(1/2x3x7)
C. (7x15x5)+(1/2x3x7x5)
D. (7x12x5)+(1/2x3x7x5)

Answer: I think its A

Step-by-step explanation:

Answer:

a) The relative risk is 1.8[tex]\overline{846153}[/tex]

b) The attributable risk is [tex]0.69 \overline{047619}[/tex]

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8[tex]\overline{846153}[/tex]

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = [tex]0.69 \overline{047619}[/tex]

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

Answer:

Step-by-step explanation:

[tex]a_{1}=16[/tex]

[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]

Answer:

y = 5/4x + 3

Step-by-step explanation:

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

Answer:

C. two

Step-by-step explanation:

2 points of intersection

Option C is correct, there are two solutions to the nonlinear system of equations graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear.

In this case, we have a parabola (the red figure) and a line (the blue figure).

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

No solution. The line will never intersect the parabola.

One solution. The line is tangent to the parabola and intersects the parabola at exactly one point.

Two solutions. The line crosses on the inside of the parabola and intersects the parabola at two points.

Hence, there are two solutions to the nonlinear system of equations graph.

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Answer:

Answer: 38

Step-by-step explanation: 6 / 2 = 3

3 + 3 = 6

42 - 6 = 38

Unit cost describes the cost to produce one item.

A cost is the value of money that has been used up to produce something or deliver a service

The unit cost is the cost associated with producing a single unit of a product or service.

It includes the direct and indirect costs of producing one item.

Direct costs can include the cost of raw materials, labor, and any other direct cost involved in the production of the item.

Indirect costs can include expenses like rent, utilities, equipment, and any other cost that is not directly associated with the production of a single unit, but is still necessary for the production process.

Hence, Unit cost describes the cost to produce one item.

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Answer:

D, and C sorry if I'm wrong

Answer:

I think it is 20 < x > 9. But I am not completely sure.

Answer:

125

Step-by-step explanation:

We can first multiply the exponent outside the parentheses by the exponent inside the parentheses.

3*1 = 3.

Now we can solve.

5³ = 125

And there is your answer. Hope this helps. Have a nice day.

Answer:

The answer is B) 90 cm^2

Step-by-step explanation:

The area of the rectangle and the triangle are

[tex]rect = 10 \times 8 =80 \\ tria = 0.5 \times 4 \times 5 = 10 \\ the \: total \: area \: is \: 80 + 10 = 90[/tex]

I hope that is useful for you

Answer:

The probability that she chooses a nuumber less than 4 is 30%

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

Answer:

Sorry I could only find the answer to the second part.

y=56x

Answer:

(12[tex]\sqrt{2}\\[/tex], 45°), (-12√2, 225°)

Step-by-step explanation:

....mhm

In full honesty though, this is the right answer

Answer:

4 1/2

Step-by-step explanation:

3(1/3) divided by 2(3)2nd power

Answer:

The slope is 2

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,9)[/tex]

[tex](x_2,y_2) = (-1,3)[/tex]

Required

The slope (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3 - 9}{-1 - 2}[/tex]

[tex]m = \frac{- 6}{-3}[/tex]

[tex]m =2[/tex]

Answer:

They are reflected across the x-axis

Step-by-step explanation:

Answer:

8 5/6

common denominator

Answer:

8 5/6

Step-by-step explanation:

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

Answer:

$35.09

Step-by-step explanation:

37.93- 2.84= 35.09

Answer: 35.09$

Step-by-step explanation:

subtract the taxes from the total i think

Answer:

CosF=A/H

CosF=24/25

CosF=0.96

F=Cos^-1(0.96)

F=16°

Answer:

Quintrell's number is 9.

Step-by-step explanation:

Let [tex]x[/tex] be equal to Quintrell's number.

"When 35 is added to my number, the answer is 4 times my original number plus 8."

⇒

[tex]35+x=4x+8[/tex]

Subtract both sides by [tex]x[/tex]

[tex]35+x-x=4x+8-x\\35=3x+8[/tex]

Subtract both sides by 8

[tex]35-8=3x+8-8\\27=3x[/tex]

Divide both sides by 3

[tex]\frac{27}{3} =\frac{3x}{3} \\9=x[/tex]

Therefore, Quintrell's number is 9.

I hope this helps!