Simplify. Please help.

Answer:

54 + 4D = L

After 39 days, the total length of the road will be 210 miles.

Step-by-step explanation:

Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:

54 (initial length) + 4D = L

54 + 4D = L

Thus, if the crew worked 39 days, the equation would be applied as follows:

54 + 4x39 = L

54 + 156 = L

210 = L

Therefore, after 39 days, the total length of the road will be 210 miles.

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Answer:

b.g(x)=[tex]x^{2}[/tex]+3

Step-by-step explanation:

If two graphs have the same shape and you only want to change one's y intercept, you just have to add or subtract the number at which you want the graph to intercept the y axis from the equation

Answer:

D

Step-by-step explanation:

Sign means equal to or less then. Judging off the word problem saying "at least" it means that that they have that amount of trips or more.

Answer:

B. 24 + t ≥ 48

Step-by-step explanation:

So the keyword is at least which makes it clear that 24 + t is at least 48, which would be the same as is greater than or equal to

hope this helps:)

Answer: 4 quarters and 1 Nickel not sure if thats the question :/

Step-by-step explanation:

One dollar and one nickel are equal to $1.05.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

1 dollar = 100 cents

one nickel = 5 cents

So,

1 nickel = $0.05

Thus,

One dollar and one nickel are equal to $1.05.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The project manager believes that p will turn out to be approximately 0.11.

This means that [tex]\pi = 0.11[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]

[tex]n = 417.9[/tex]

Rounding up

A sample size no smaller than 418 is needed.

Answer:

B

Step-by-step explanation:

s>t because s is on top of the scale and t is below the scale

Answer:

1920 cm

Step-by-step explanation:

You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.

Answer:

[tex]A=110.5\pi \ inches^2[/tex]

Step-by-step explanation:

Given that,

The slant height of a cone, l = 17 inches

The diameter of a cone, d = 13 inches

Radius, r = (D/2) = 6.5 inches

We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :

[tex]A=\pi rl[/tex]

Put all the values,

[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]

So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].

Answer:

B 110.5

Step-by-step explanation:

Answer:

H = independent variable

S = dependent variable

Step-by-step explanation:

number of hamburgers sold isnt affected by other factors

sales taken in depend on Hamburgers sold

Answer:

there are 6 outcomes

Step-by-step explanation:

there are only 6 spots, therefore it has to be 6

Answer:

I believe it would take 12 hours

Answer:

A. cd4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-4)/(7-5)

m=6/2

m=3

Answer:

A. 3

Step-by-step explanation:

I just did it on a calculator and got it correct

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer:

how about no

Step-by-step explanation:

did anyone ask

Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR

Answer:

Step-by-step explanation:

Correct choice is D

Answer:13+4(n-1)

Step-by-step explanation:

Answer:

20 Edges

Step-by-step explanation:

As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.

Answer:

x = 4 , y = 6

Step-by-step explanation:

I am sorry if I'm wrong

Answer:

$16 is correct answer

Hope it helps you

Answer:

140 Large sized drinks were sold last month

Step-by-step explanation:

Each large drink is sold at $3

Therefore, we divide the amount of money which is $420 by $3

  = $420 ÷ $3 = 140 Large sized drinks

Answer:

sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Step-by-step explanation:

Given: sin(75°)

Rewrite: sin(30° + 45°)

Use sum and difference identity:

sin(α + β) = sinαcosβ + cosαsinβ

sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)

sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)

sin(30°+45°) = (√2 / 4) + (√6 / 4)

sin(30°+45°) = [(√2 + √6) / 4]

sin(75°) = [(√2 + √6) / 4]

Answer:

Step-by-step explanation:

tan(angle) = 6/20

angle = [tex]tan^-1(6/20)[/tex] =  16.699 degrees

Answer:

sum of angles in a quadrilateral is 360

Step-by-step explanation:

3x-15 +3x+15+y+30+D=360

hope that explanation helps

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

Answer:

The weight unit is 200 pounds per tire