Please help me find the domain in interval notation.

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×\(\frac{22}{7}\)×14=88 feet.

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Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The linear graph for the function having the features has been plotted and attached below.

What is a linear graph?

A graph is a diagram that depicts the relationship or connection between two or more quantities. Linear implies straight. The x and y coordinates of two points are connected by a straight line, or straight graph, to form a linear graph.

We are given that the x - intercept is 7 and the y - intercept is 2.

This means that the two points are (7, 0) and (0, 2).

Using these points, we will plot the linear graph. We know that linear graph is always a straight line. The same is shown in the graph below.

Hence, the graph of the function having particular features has been obtained.

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

yes

Step-by-step explanation:

Substitute the point into the equation and see if it is true

x- 5y = 10

0 -5(-2) = 10

0 +10 = 10

10 = 10

This is true so the point is a solution to the equation

Answer:

Not really...

Step-by-step explanation:

The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

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Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Check the picture below.

Step-by-step explanation:

\( \frac{2}{3} \times \frac{99}{1} = 66 \: kg\)

The polynomial in standard form after expansion is x² - 7x + 12.

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

The given expression is (x - 3) (x - 4).

We have to expand this as a polynomial in standard form.

Standard form of a polynomial with degree n is,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻¹ + aₙ xⁿ

(x - 3) (x - 4) = x (x - 4) - 3 (x - 4)

Applying the distributive property,

                   = x² - 4x - 3x + 12

                   = x² - 7x + 12

This is a standard form of a second degree polynomial.

Hence x² - 7x + 12 is the expansion of the given expression.

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The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Answer:

For parallel:

gradient is 1/5

\(y = mx + c\)

consider (5, -2):

\( - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3\)

\({ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}\)

For perpendicular:

gradient, m1:

\(m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5\)

gradient = -5

\(y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23\)

\({ \boxed{ \bf{equation :y = - 5x + 23 }}}\)

Answer:

Parallel: \(y=\displaystyle \frac{1}{5}x-3\)

Perpendicular: \(y=-5x+23\)

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

\(y=\displaystyle \frac{1}{5} x-3\)

Given this equation, we can identify that its slope (m) is \(\displaystyle \frac{1}{5}\). Because parallel lines always have the same slope, the slope of the line we're currently solving for would be \(\displaystyle \frac{1}{5}\) as well. Plug this into \(y=mx+b\):

\(y=\displaystyle \frac{1}{5}x+b\)

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

\(-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b\)

Therefore, the y-intercept is -3. Plug this back into \(y=\displaystyle \frac{1}{5}x+b\):

\(y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3\)

Our final equation is \(y=\displaystyle \frac{1}{5}x-3\).

Finding the Perpendicular Line

\(y=\displaystyle \frac{1}{5} x-3\)

Again, the slope of this line is \(\displaystyle \frac{1}{5}\). The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

To find the y-intercept, plug in the point (5,-2) and solve for b:

\(-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b\)

Therefore, the y-intercept is 23. Plug this back into \(y=-5x+b\):

\(y=-5x+23\)

Our final equation is \(y=-5x+23\).

I hope this helps!

The points which are ordered pairs for the given equation will be equal to (1, 8) and (-1, -6).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the equation given in the question,

y = 7x + 1

Let's check for the given points,

(0, -1)

-1 = 7(0) + 1

-1 ≠ 1, it is not an ordered pair.

(1, 8)

8 = 7(1) + 1

8 = 8, it is an ordered pair.

(-1, -6)

-6 = 7(-1) + 1

-6 = -6, it is an ordered pair.

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Answer:

42±5.3

Step-by-step explanation:

Answer:

f(-2)=(1-3×-2)

f(-2)=1+6

f(-2)=7 ans

Put the coordinate and check each

#1

\(\\ \rm\Rrightarrow 3x-3y-z=2\)

\(\\ \rm\Rrightarrow 3(1)-3(-1)-(-2)=2\)

\(\\ \rm\Rrightarrow 3+3+2=2\)

\(\\ \rm\Rrightarrow 6+2=2\)

\(\\ \rm\Rrightarrow 8\neq 2\)

No

#2

\(\\ \rm\Rrightarrow 2(1)-3(-1)-2=-3\)

\(\\ \rm\Rrightarrow 2+3-2=-3\)

\(\\ \rm\Rrightarrow 3\neq-3\)

Unless you did typing mistake on right hand side it's

#3

\(\\ \rm\Rrightarrow 1-1-2=-2\)

\(\\ \rm\Rrightarrow -2=-2\)

Yes

#4

\(\\ \rm\Rrightarrow 1+2(-1)-(-2)=0\)

\(\\ \rm\Rrightarrow 1-2+2=0\)

\(\\ \rm\Rrightarrow 1\neq0\)

No

#5

\(\\ \rm\Rrightarrow 5(1)+1-5(-2)=16\)

\(\\ \rm\Rrightarrow5+1+10=16\)

\(\\ \rm\Rrightarrow 16=16\)

Yes

#6

\(\\ \rm\Rrightarrow 4(1)+5(-1)-6(-2)=-13\)

\(\\ \rm\Rrightarrow 4-5+12=-13\)

\(\\ \rm\Rrightarrow -1+12=-13\)

\(\\ \rm\Rrightarrow 11\neq -13\)

No

Answer:

7/6

Step-by-step explanation:

4/6 divided by 8/14

4/6 * 14/8

56/48

Simplified: 7/6

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

red +blue marbles :- 15 +13=28 marbles.

yellow marbles:- 50+28=22 marbles.

probability of yellow marble :- 22/50 i.e 11/25

the counting number just before C5F16 is 3,072.

Answer:

3) 8

4) 5.25 cups

Step-by-step explanation:

3) cross multiply:

36 × 10 = 360

45 × x = 45x

equate them both:

360 = 45x

divide both sides by 45

360 ÷ 45 = 8

x = 8

4) 8 people : 3 cups of flour

14 people : how many cups?

14 ÷ 8 = 1.75

to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:

3 × 1.75 = 5.25 cups

Answer:

Step-by-step explanation:

deez buts

If the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

The height of the bars will decrease if the interval sizes in a histogram are reduced while the scale remains constant. When the intervals are compressed,

For a particular set of data, there will be more histogram bars, but fewer data points will make up each interval. Reducing the interval size will also reduce the height of the histogram's bars because the height of the bars represents the number of items in each interval.

Hence, if the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

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You didn't give me answer choices.

There are no statements to pick from. Please write a proper answer.

Answer:

7,37,77,80 Is ur c.f and ur lengths r 48.5-53.5, 53.5-58.5, 58.5-63.5, 63.5-68.5

Answer: 27in.

Step-by-step explanation:

Diameter=C/(3.14)

D= (84.78)/(3.14)= 27in.

Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

Answer:

16

Step-by-step explanation:

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3