Helllppp!!!
All statements of equality below are correct.


A. True
B. False

The equation y = 3x + 2, the slope of the line is 3 and the y-intercept is 2. The line must pass through the y-axis at x = 2 with a positive slope. Graph A is correct.

A line is defined as the distance between two points while a quadratic equation is an equation that has a leading degree of 2.

Given the equation y = 3x + 2, the slope of the line is 3 and the y-intercept is 2. The line must pass through the y-axis at x = 2 with a positive slope.

For the quadratic equation, it is exponential in nature and the graph will show a sharp increase along the y axis in the first graph.

Find the graph of the function is attached below.

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Answer:

Step-by-step explanation:

Its the last option!

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

Using the formula for the margin of error, it is found that a sample of 601 is needed.

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).

In this problem:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 1.96(0.5)\)

\(\sqrt{n} = \frac{1.96(0.5)}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2\)

\(n = 600.25\)

Rounding up, a sample of 601 is needed.

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If Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. The kite is about 61 meters above the ground.

We can use trigonometry to solve the problem. Let's call the height of the kite above the ground "h".

Using trigonometry, we can write:

sin (70) = h / 65

Solving for h, we get:

h = 65 * sin(70)

h= 65 * 0.9397

h ≈ 61 meters

Therefore, the kite is about 61 meters above the ground.

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The number is 9.

Let's represent the unknown number as "x".

The problem states that twenty-three more than twelve times the number is the same as sixty-eight more than seven times the number. We can translate this information into an equation:

12x + 23 = 7x + 68

To solve for x, we need to isolate the variable on one side of the equation. Let's subtract 7x from both sides:

12x - 7x + 23 = 7x - 7x + 68

Simplifying the equation gives us:

5x + 23 = 68

Next, let's subtract 23 from both sides:

5x + 23 - 23 = 68 - 23

Simplifying further gives us:

5x = 45

To find the value of x, we divide both sides of the equation by 5:

5x/5 = 45/5

This simplifies to:

x = 9

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Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

Answer:

MJ = 0.7 × 7 = 4.9

Step-by-step explanation:

its 4.9 im sure, its hard to explain it

The value of x or the length of the MJ is 4.9 units after using the similarity property.

It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have two figures shown in the picture.

The two figures are similar.

By using the similarity property:

4/2.8 = 7/x

After solving:

x = 4.9

or

MJ = 4.9

Thus, the value of x or the length of the MJ is 4.9 units after using the similarity property.

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The sequence converges to ln 2.

To determine whether the sequence converges or diverges, we need to take the limit as n approaches infinity. We can simplify the sequence by using the properties of logarithms:

an = ln( 2n^2 + 1 ) - ln( n^2 +1 )

= ln[(2n^2 + 1)/(n^2 + 1)]

Now we can take the limit of this expression as n approaches infinity:

lim [ln[(2n^2 + 1)/(n^2 + 1)]]

n→∞

Using L'Hopital's Rule, we can evaluate this limit:

Lim [(4n)/(2n)]

n→∞

This limit is equal to 2. Therefore, the sequence converges to ln 2.

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Answer: Your answer should be 10.8

Step-by-step explanation:

2.9+2.9+2.5+2.5

Pretty simple

Answer:

10.8 m

Step-by-step explanation:

To calculate the perimeter you must add up all the sides

= 2.5 + 2.5 + 2.9 + 2.9

= 10.8

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Step-by-step explanation:

Answer:8.75

Step-by-step explanation:35/4

The size if the angle NOM is 54.

What is angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

What is tangent of circle?

A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet.

Given,

M and N are points on a circle.

QMT is the tangent

O is the center.

angle NOM = 2 angle NLM

NOM = 2(27)

= 54.

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The amount of land the railroad companies received for each mile of track they laid varied depending on the specific circumstances and agreements.

However, a common benchmark used during the construction of railroads in the United States was the granting of land through the Homestead Act of 1862. Under this act, railroad companies were granted approximately 6,400 acres (10 square miles) of land for every mile of track laid. This land was typically located alongside the tracks and served as an incentive for the companies to expand and develop the rail network across the country.

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a = 15

b = 23

We would apply the trigonometry SOHCAHTOA

The triangle is right angled:

opposite = side opposite the angle 42° = a

adjacent = 17

hypotenuse = b

To get a, we would use tangent ratio (TOA):

tan 42 = opposite/adjacent

tan 42 = a/17

a = 17 tan 42

a = 17(0.9004)

a = 15.3068

Approximately, to the nearest whole number, a = 15

To get b, we would apply cosine ratio (CAH):

cos 42 = adjacent/hypotenuse

cos 42 = 17/b

b (cos 42) = 17

b = 17/cos 42

b = 17/0.7431

b = 22.877

Approximately to the nearest whole number, b = 23

y= 2/3x

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Answer:

slope=3

Step-by-step explanation:

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is \(x\)

According to the question, Age of oldest child is \(=x+4\)

Eldest child age \(=x-2\)

Sum of the ages of children is \(26\)

\(x+4+x+x-2=26\)

\(3x+2=26\)

\(3x=24\)

\(x=8\)

Therefore age of youngest child is \(x-2=8-2=6\ years\)

Answer:

x > -5

Step-by-step explanation:

hope this helps :)

Answer:

x>-5

Step-by-step explanation:

X-15>-20

Add 15 to both sides;

x-15+15=>-20+15

simplify

x>-5

Hope this helped!

Helped by none other than the #QUEEN herself  aka # DrippQueenMo

Answer:

37c

Step-by-step explanation:

6c+(7c+7c)+8c+9c

6c+14c+(8c+9c)

6c+(14c+17c)

6c+31c

37c

Answer:

(-2)(9x-3)-12x

= -18x + 6 - 12x

= 6 - 30x

Answer:

Jack ran 1/4 of a mile.

Step-by-step explanation:

Step-by-step explanation:

jack ran 1/4 of a mile more than jack did

\(distance = \sqrt{(5 - 1) {}^{2} + (4 - 4) {}^{2} } \\ = \sqrt{4 {}^{2} } \\ = 4 \: units\)

Answer:

-365

Step-by-step explanation:

-3x+7(-6-50)

Answer:

umm

Step-by-step explanation:im in 6th grade so i have no idea what that means

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

The width of the rectangle become 20 cm.

According to the statement

we have to find the width of the rectangle.

So, For this purpose, we know that the

Rectangle is a parallelogram all of whose angles are right angles.

According to the information:

A rectangle has a length of 21 cm and a diagonal of 29 cm.

Here we use the this formula

d² = l² + w²

So, Substitute the values

29² = 21² + w²

841 = 441 + w²

Now, solve it then

w² = 400

Solve the square root then value becomes

w = 20 cm.

The width of the rectangle become 20 cm.

So, The width of the rectangle become 20 cm.

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The airplane is flying 94.8 feet above the farmhouse.

The formula for finding the height of an object from a given angle of elevation is:

Height = tan(angle of elevation) * Distance

In this case, we have two angles of elevation and two distances. We can solve for the height of the airplane by first calculating the distance from the observer to the top of the farmhouse. We can do this by using the same formula, but substituting in the angle of elevation of the farmhouse and the known distance between the observer and the farmhouse:

Distance to farmhouse = tan(24°) * 50 feet

Distance to farmhouse = 43.6 feet

Once we have the distance to the farmhouse, we can use the same formula to calculate the height of the airplane above the farmhouse. This time, we substitute in the angle of elevation of the airplane and the distance to the farmhouse:

Height of airplane = tan(70°) * 43.6 feet

Height of airplane = 94.8 feet

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