Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters

Answer:

F(x) = x^3  and G(x) = (4x)^3 − 5

so

G(x) = F(4x) -5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore  

the answer is the option

D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

In this question we have to calculate the rate of earning or proportionality constant of Abigail.

Since, earning of Abigail (y) ∝ Time worked (t)

y = kt

Here, k = Proportionality constant

From the table attached,

If y = $709.80 and x = 21 hours

709.80 = 21k

k = [tex]\frac{709.8}{21}[/tex]

k = $33.80 per hour

Therefore, rat of earning or proportionality constant is $33.80

Option (2) will be the correct option.

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

Answer:

184

Step-by-step explanation:

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

Answer: 17 feet long 14 feet wide

The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html

Answer:

12.57 inches

Step-by-step explanation:

the formula is l = x/360 (2 pi r) so you solve from there

Answer: 33.3%

s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!

The probability that a randomly selected point within the circle falls

in the red shaded area will be 33.33%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that the shaded red sector has an angle of 60 degrees and the radius of the circle is 4 cm. The probability will be calculated as:-

The formula for a circle's sector's area is (Ф/360°) x π(r²), where r is the circle's radius and is the sector's angle.

Area of shaded region =  (Ф/360°) x π(r²),

Area of shaded region = ( 60 / 360 ) x π (4²)

Area of shaded region = 8.377 square cm

Total shaded area = 2 x 8. 377 = 16.75 square cm

Total area of circle = π (4²) = 50.265 square cm

The probability is calculated by the formula below:-

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 8.377

Number of sample = 50.265 square cm

Probability = 8.377 / 50.265 = 0.3333 = 33.33%

Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area will be 33.33%.

To know more about probability follow

https://brainly.com/question/27930712

#SPJ5

Answer:

y = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6 sq ft

Step-by-step explanation:

Answer: x<7/12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

to isolate 'x', subtract 1/4 from 5/6

you can use a common denominator of 12

1/4 = 3/12

5/6 = 10/12

x < 10/12 - 3/12

x < 7/12

Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

Answer: 6000+700+00+0

I hope that helps you

Answer: 1. C(12) 2. B(n-1-14) 3. A(30)

Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!  

Answer:

[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)  

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:

[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]

So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.

To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.

Answer:

12 BTU

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)

When rewriting the equation the answer is:

3x+y=7

2x-y=8

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

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

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

Answer:

13

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

To learn more about algebra click here ;

brainly.com/question/22516053

#SPJ2

Answer:

$22.5.

Step-by-step explanation:

The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,

                              y = (25 - x)(100 + 5x)

Simplifying,

                             y = 2500 + 25x - 5x²

We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.

                            dy/dx = 0 = 25 - 10x

Answer:

Step-by-step explanation:

The formula is P= a+b+c+d

a=base

b=base

c=side

d=side

Please search perimeter of a trapezoid.  It will provide the answer.

Answer:

Perimeter = 19.77 units

Step-by-step explanation:

Perimeter = AB + BC + CD + AD

BC = 5

AD = 8

AB² = 2² + 3² = 4 + 9 = 13

AB = √13 = 3.61

CD² = 1² + 3²  = 1 + 9 = 10

CD = √10 = 3.16

Perimeter = 3.61 + 5 + 3.16 + 8 = 19.77

Answer:

B.

Step-by-step explanation:

........................

Answer:

then only 2 rows are full

Step-by-step explanation:

im confused but if thats it then thats the answer if im right mark me brainliest

:>

Answer: Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

Step-by-step explanation:

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]

Claim : p>0.50

Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

Answer:

1st option

Step-by-step explanation:

You have to take the radius and times it by 1 which gives you 8 in.

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

[tex]a_{n} = a_0 + (n-1)d[/tex]

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]

ai = ai-1 + 6

This means that [tex]d = 6[/tex]

In this question:

Sum of the first 800 terms, so [tex]n = 800[/tex]

First term is -53, so [tex]a_1 = -53[/tex]

The 880th term is:

[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]

Sum

[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]

The sum of the first 880 terms in the sequence is 2,273,920.