What is the value of the expression below when t = 6?

Answers:  

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Explanation:

Part 1

Sort the data values to get

51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100

Now let's say we had these intervals

Notice each interval is 9 units wide.

The 5 scores 51,54,58,60,60 are in the interval 51-60, which means the first interval has a bar that's 5 units tall.

The scores 62,70 are in the interval 61-70, which means the second bar is 2 units high.

Keep this process going to create the histogram shown below.

It looks like you have the right idea, but your class interval widths aren't the same each time.

Because the class interval widths can change, this means other histograms are possible. Just be sure to stick to one interval width.

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Part 2

Set A = set of scores that are 70 or larger, i.e. those who passed

Set A = {70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

Set B = set of all scores in the class

Set B = {51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

There are 14 items in set A and 20 in set B

This means 14/20 = 7/10 of the students passed.

Answer:

Step-by-step explanation:

v(x)=12-2x-5

v(-2)=12-2(-2)-5

      =11

v(0)=12-2(0)-5

     =7

v(5)=12-2(5)-5

     =-3

Answer:

39.25

Step-by-step explanation:

Area of circle is pi(3.14) times r^2.

Semi means half

So 3.14 times 5^2 = 78.5

Its a semi ciricle so its 78.5/2 which is 39.25

Answer:

B

Step-by-step explanation:

Answer:

x = 0.7401 ± 0.7401i, x = 0

Step-by-step explanation:

(6 • (x^2)) +  5x^6  = 0

(2•3x^2) +  5x^6  = 0

5x^6 + 6x^2 = x^2 • (5x^4 + 6)

x^2 • (5x^4 + 6) = 0

x^4 = -6/5 = -1.200

x  =  ∜ -6/5

⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.

→ x = 0

→ x = 0.7401 ± 0.7401i

Step-by-step explanation:

answer 3 is correct.

the result is clearly shifted (translated) and then enlarged (dilation).

the dimensions of the side lengths all follow the same scale factor (2).

Answer:

132

Step-by-step explanation:

surface area of a triangular prism

132 ft is needed for the entire outside

its a 3 4 5 right triangle

10 is the height

[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]

Answer:

$41

Step-by-step explanation:

1 copy costs $0.041

If I need 1000 copies, I need to multiply

$0.041 × 1000 = $41

1000 copies will cost $41

Answer:

  $41

Step-by-step explanation:

The cost of 1000 copies is 1000 times the cost of 1 copy.

  1000 × $0.041 = $41.00

The cost to make 1000 copies is $41.

Answer:

The correct answer is the last one, [tex]\frac{\pi }{6}[/tex].

Step-by-step explanation:

Assuming you need this urgently so I won't explain.

Hope this helps:) Goodluck!

Answer:

5π/6, 7π/6

Step-by-step explanation:

Solving :

cos⁻¹ (-[tex]\frac{\sqrt{3} }{2}[/tex])

cos⁻¹ (-cos30°)

cos 30° is negative in Quadrant II and Quadrant III

Value in QII :

Value in QIII :

The answer is 5π/6, 7π/6

Sam’s operating expenses for last year given the gross profit and the net income is  $33,345.

Operating expense is the expense that a company incurs in the course of running its business. It is determined by subtracting net income from gross profit.

Operating expense =  gross profit - net income

$105,355 -  $72,010 = $33,345

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Answer:

B

Step-by-step explanation:

The new price of the shoe before taxes will be $ 35.75.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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Answer:

May be the answer is 5 . I don't think it's the answer .

The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.

The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.

Then the mathematical expression represents C(x(y)) will be

C(x(y)) = 2(35y) + 325

C(x(y)) = 70y + 325

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Answer:

The slope is 32 while the y-intercept is (0,-6)

Step-by-step explanation:

.......

Answer:

Multiplying by 3 isolates x on one side of the equation.

Step-by-step explanation:

When solving an algebraic equation, you want to isolate the variable on

one side of the equation. By isolating the variable, you can see what the

variable is equal to.

Hope it helps, have a fantastic day.

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2

Using proportions, the amount of money that Sam would need each month to pay his bills is of:

b. at least $425.32.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, his annual social security benefit is of 42% of $37,991, hence:

A = 0.42 x 37991 = $15,956.22.

Hence the monthly amount is given by:

M = 15956.22/12 = $1,329.68

He needs $1,755 monthly, hence the amount he needs is of at least:

An = 1755 - 1329.68 = $425.32.

Which means that option b is correct.

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Answer:

B

Step-by-step explanation:

Since the y-intercept is -3 look for the graph that has the point (0,-3)

Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.

Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.

If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.

Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.

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A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A, the difference between two cylinders with the same height and different radii.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Since the shape of a paper towel is like a cylinder, therefore, the composition that produces a solid with the same shape and dimensions as the roll of the paper towel is a difference between two cylinders with the same height and different radii.

Hence, the correct option is A.

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Answer:

5600x10=56000

56000=B ten thousands

Answer:

Ten Thousands

Step-by-step explanation:

5,600x10=56000

So the 5 will be in the ten thousand place if u get a chart/

ignore the numbers on the chart

Answer:

A) F

B) B

C) C

Step-by-step explanation:

circle AB represents sectors

circle CD represent segments

circle EF represent arcs

Answer:

500 ÷ 3650 = 0.13698630136986 = 13.698630136986%

Answer: its 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6

Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

Answer:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]

[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]

Given:

[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will not come over the top of the container.

Answer:

(15/360)*whatever the circumferance is

Step-by-step explanation:

Length of arc = 2π * radius * angle/360

And 2π * radius= circumference

Therefor we can replace that in the eqaution so we can do

circumference *angle/360=lengnth of arc

A. Substitute x = 3 into the equation of the line of best fit.

B. Estimate of the inventory on day 3 is: 3 (in hundreds).

The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.

The equation of the line of best fit given is: f(x) = -1/3x + 4, where:

A. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.

B. Plug in x = 3 into f(x) = -1/3x + 4

f(3) = -1/3(3) + 4

f(3) = 3

Estimate of the inventory on day 3 is: 3 (in hundreds).

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