the graph shows the value of a certain model of car compared with it's age. which statement is true?


A. The data show a negative linear relationship.

B. The correlation coefficient is close to 0.

C. The Car's age is the response variable.

D. The Car's age is not correlated to it value.

Answer:

graph A

Step-by-step explanation:

When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"

The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"

For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.

Values to the right side of the origin are positive--greater than 0.

For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.

Ordered pairs (points) are written as (x,y)

(x-value, y-value)

We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.

When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).

So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)

hope this helps!!

It can be modeled by an exponential function because each time x increases by 1, f(x) is multiplied by 4.

This means the base of the exponential function is 4, and since f(x)=3 when x=0, [tex]f(x)=3(4)^{x}[/tex]

Answer:

Area: 15.53 square inches

Perimeter: 15.71 inches

Step-by-step explanation:

Area:

So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is [tex]\pi r^2[/tex]. But since this is a semi circle it's half of that which is [tex]\frac{\pi r^2}{2}[/tex]. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get [tex]\frac{(3.14) (1.5)^2}{2} = 3.5325[/tex]. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

Perimeter:

Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71

Answer:

Answer is 6

Step-by-step explanation:

Let the number be ×

Twice a number is 2×

Twice a number increase by 8 is 2×+8

hence the equivalent will be

2×+8=20

2×=12

×6

Answer:

6

Step-by-step explanation:

Let n be the unknown number.

"Twice a number" means to multiply the number by 2:  

⇒ 2n

"Increase by 8" means to add 8:

⇒ 2n + 8

"Is 20" means equals 20:

⇒ 2n + 8 = 20

Therefore, the equation is:  2n + 8 = 20

To solve, subtract 8 from both sides:

⇒ 2n + 8 - 8 = 20 - 8

⇒ 2n = 12

Divide both sides by 2:

⇒ 2n ÷ 2 = 12 ÷ 2

⇒ n = 6

Therefore, the unknown number is 6.

Step-by-step explanation:

first function, f(x) = 5x-3 goes with option B

2nd function, 4- 4x goes with option A

3rd function goes with option D

4th goes with option C

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation:

[tex]2 \ln 4+\ln x=3 \ln 2+\ln(x+1)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x = \ln x^n[/tex]

[tex]\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)[/tex]

Simplify:

[tex]\implies \ln 16+\ln x=\ln 8+\ln(x+1)[/tex]

Subtract ln 8 from both sides:

[tex]\implies \ln 16+\ln x- \ln 8=\ln(x+1)[/tex]

Subtract ln x from both sides:

[tex]\implies \ln 16-\ln 8=\ln(x+1)-\ln x[/tex]

[tex]\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}[/tex]

[tex]\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)[/tex]

Simplify:

[tex]\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)[/tex]

[tex]\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y[/tex]

[tex]\implies 2=\dfrac{x+1}{x}[/tex]

Multiply both sides by x:

[tex]\implies 2x=x+1[/tex]

Subtract x from both sides:

[tex]\implies x=1[/tex]

Answer:

Step-by-step explanation:

she has 7 servings. Add 1/2 + 1/2 until you get 3 1/2 and it equals 7

The total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

What is total amount?

The amount that you get when you add several numbers or things together.

The total amount of money that Denise and Stacey spent at the carnival will be money spent on admission + ride + game.

Total amount = 2 * 6 + 2 ( 7 * c ) +  ( 3 * g + 2 * g )

                      = 2 * 6 + 14 * c + 5 * g

                      = 12 + 14c + 5g dollars.

Therefore, the total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

The questions seems incomplete, its option could be:

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Answer:

D. 2√2

Step-by-step explanation:

x² = 8

x = √8

x = √4 x √2

x = 2√2

Step-by-step explanation:

[tex] x {?}^{2} \sqrt{2 \times 2 \times 2} \\ \\ x { }^{2} = 2 \sqrt{2} [/tex]

Answer:

(-5, 0)

Step-by-step explanation:

The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)

If the number of multiple-choice questions is x and the number of short answer questions is y, then:

[tex]x+y=28\\\\3x+5y=100[/tex]

The value of e³ = 20.079.

e is an irrational number , It is a numerical constant used in mathematical constant .

The value of e = 2.718

It is asked in the question to determine the value of e³

Therefore

e³ = ( 2.718)³

e³ = 20.079

Therefore the value of e³ = 20.079.

The image of the calculation is attached with the answer.

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==========================================================

Explanation:

We have two concentric circles. Think of a bulls-eye on a dart board. The inner circle is the garden itself. The outer circle is the garden plus the surrounding pathway. What we're interested in is the area of the outer ring, which is the area of the garden path only.

To find this ring area, we'll need to find the area of each circle.

A = area of the smaller circle

A = pi*r^2

A = pi*12^2

A = 144pi

Notice how I took half of the 24 yard diameter to get the radius of 12 yards.

B = area of the larger circle

B = pi*r^2

B = pi*15^2

B = 225pi

Subtract the two results

C = area of the outer ring, aka the garden path only

C = B - A

C = 225pi - 144pi

C = (225-144)pi

C = 81pi

We're told to use 3.14 in place of pi

C = 81*pi

C = 81*3.14

C = 254.34

The garden path has an area of roughly 254.34 square yards.

1 bag of sand covers 8 square yards.

So we'll need (254.34)/(8) = 31.7925 = 32 bags of sand

Answer:

x=15.1

Step-by-step explanation:

In a right triangle, the side across from the right angle is always the hypotenuse.

The other two sides are termed "legs".

Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"

The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]

[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this situation, the given angle is in the bottom right.  A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.

So, the two sides of interest are the "opposite" and the "hypotenuse".  The trigonometric function that relates these two sides is the sine function.

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]

Evaluating the sine function in a calculator (in degree mode):

[tex]0.9271838546...=\dfrac{14}{x}[/tex]

Multiply both sides by x:

[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]

[tex](0.9271838546...)x=14[/tex]

Divide both sides by the decimal number:

[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]

[tex]x=15.0994864...[/tex]

Rounded to the nearest tenth, x=15.1

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

Answer:

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 4 inches.

(a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.)

z1 = (70-71)/4 = -0.25

z2 = (72-71/4 = 0.25

P(70<X<72) = p(-0.25<z<0.25) = 0.1974

Answer: 0.1974

(b) If a random sample of thirteen 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)

z1 = (70-71)/(4/sqrt(13)) = -0.9014

z2 = (72-71/(4/sqrt(13)) = 0.9014

P(70<X<72) = p(-0.9014<z<0.9014) = 0.6326

Answer: 0.6326

please mark me the brainiest

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

Answer:

A.

Step-by-step explanation:

The other graphs answers have a point at (3, 1) which is not on the graph.

Answer:

4

Step-by-step explanation:

4

The possible values of x are:

x = -1/2 + i/2

x = -1/2 - i/2

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

To find the possible values of x in equation 8x² + 4x = -1, we need to solve for x.

First, we can rearrange the equation to get:

8x² + 4x + 1 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).

In this case, a = 8, b = 4, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-4 ± √(4² - 4(8)(1))) / 2(8)

x = (-4 ± √(16 - 32)) / 16

x = (-4 ± √(-16)) / 16

x = (-4 ± 4i) / 16

where i is the imaginary unit, which is defined as the square root of -1.

Therefore, the possible values of x are:

x = (-4 + 4i) / 16

x = (-4 - 4i) / 16

These values can also be simplified as:

x = -1/2 + i/2

x = -1/2 - i/2

So the possible values of x are complex numbers, specifically x = -1/2 ± i/2.

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Answer: 20

Step-by-step explanation:

f(-4) = -4² - (-4)

f(-4) = 16 + 4

f(-4) = 20

Answer:

x = | 1 |

Step-by-step explanation:

how are u in college doing this???

Answer:

1

Step-by-step explanation:

(x+8)=9

x+8=9

x=9-8

x=1

Step-by-step explanation:

1) the required equation in common form is:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;

According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:

(x+5)²+(y-2)²=6².

2) if the distance between two friends is:

[tex]d=\sqrt{(-5-1)^2+(2-1)^2}=\sqrt{37}, \ then[/tex]

this distance is longer than social (6 ft). For more info see the attachment.

The transformation of a function may involve any change. The function with the graph are given below.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.

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The cost of 11-minute call between these two cities after 5 p.m is: 142.

Given:

Charges for long distance=65% or .65

Cost=20 cents per minutes

Number of call minutes=11 minutes

Hence:

Cost =20 cents ×11 minutes times 0.65

Cost =143 cents

Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.

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Answer:

See below

Step-by-step explanation:

When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:

- 4n >36       Instead of dividing by -4   let's ADD - 4n to both sides

0 > 36 + 4n    now SUBTRACT 36 from both sides

-36 > 4n       re-arrange just a little

4n < -36       <======== see how the symbol has reversed ???

n < -9        

Hii!

___________________________________________________________

Answer:

'Cause both sides were divided by a negative number! ^^

Step-by-step explanation:

The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.

When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.

--

Hope that this helped! Best wishes.

--

Step-by-step explanation:

the answer is 38/24 so the final answer is 19/12

find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds

96 + 36 = 132 pounds total

The length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft

Length of each scarf = Total length of scarf / Number of friends

= 39.9 ft / 7

= 5.7 ft

Therefore, the length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft

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Answer:

50

Step-by-step explanation:

Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).

48/6 = 8

42 + 8 = 50