Lindsay needs to purchase a car. The car she is planning on purchasing costs $8000 and she has $2000

Formula for the circumference of a circle: C = pi x diameter

We are given the radius here, but we need the diameter. The diameter of a circle is equal to two times the radius.

diameter = 40 x 2 = 80 in

C = pi x 80

C = 80pi = 251.3 in

Hope this helps!! :)

Answer:

251.3 in

Step-by-step explanation:

The formula for circumference is π·d

Double 40 to get your radius, 80

Then, multiply π·80

The circumference is about 251.3 in

Answer: it’s 5

Step-by-step explanation: y=mx + b so m=5 and m is the slope

Answer:

Step-by-step explanation:

(D) XY= 22/sin(41 degrees)

Which equation could be used to solve for the length of XY?

Answer:

XY 22/sin(41o)

Step-by-step explanation:

Answer:

C. 60

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

$45/$300 = 0.15 = 15%

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

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

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

Answer:

1700

300

Step-by-step explanation:

Let X be the investment at 7%,

Then 2000-X is invested at 4%

0.07X + 0.04(2000 - X) = 131

0.07X - 0.04X = 131 - 80

0.03X = 51

X = 1700

2000 - X = 300

Answer:

$25 + 15x

Step-by-step explanation:

$25 is the maintenance fee  +

$15x  (x will be the number of yards)

Answer:

what is the question

Step-by-step explanation:

Salim has a flock of 300 chickens, and 15% of them are infected with a virus. He plans to take a Simple Random Sample (SRS) of 7 chickens to test for the virus.

Salim has a flock of 300 chickens, and 15% of them are infected with a virus. This means there are 45 infected chickens in the flock. To test for the virus, Salim plans to take a Simple Random Sample (SRS) of 7 chickens from the entire flock.

A Simple Random Sample involves selecting a subset of individuals from a larger population in such a way that each individual has an equal chance of being selected. This ensures that the sample is representative of the entire population.

Salim's decision to take a sample of 7 chickens is based on the practical constraints of time, resources, and cost. Testing all 300 chickens would be time-consuming and expensive. By taking a smaller sample, Salim can still obtain valuable information about the prevalence of the virus in his flock while minimizing costs and resources.

However, it's important to note that the accuracy of the sample depends on how well it represents the entire population. To ensure the sample is truly random and representative, Salim should use a random selection method, such as drawing names from a hat or using a random number generator.

Once Salim selects his sample, he can conduct tests to determine the presence of the virus in these chickens. The results of these tests will provide valuable insights into the overall prevalence of the virus in his flock, helping him make informed decisions about disease management and control.

The complete question is:

Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.

Answer:

3) plant 3; plant 3

Step-by-step explanation:

it was 3 inches at the beginning and grew up to 7 by the end, while the others were shorter and grew less over the time period.

Answer:

hmmmmm

Step-by-step explanation:

The correct answer is A. [tex]\( x = 2y - 6 \).[/tex]

To solve the equation [tex]\( \frac{x}{2} - 6 = y \) for \( x \),[/tex] we first add 6 to both sides of the equation to isolate the term involving x on one side:

[tex]\[ \frac{x}{2} - 6 + 6 = y + 6 \][/tex]

[tex]\[ \frac{x}{2} = y + 6 \][/tex]

Next, we multiply both sides by 2 to solve for x:

[tex]\[ 2 \cdot \frac{x}{2} = 2 \cdot (y + 6) \][/tex]

[tex]\[ x = 2y + 12 \][/tex]

However, this does not match any of the given options directly. We need to rearrange the equation to match one of the options. Let's subtract 12 from both sides to isolate x:

[tex]\[ x - 12 = 2y + 12 - 12 \][/tex]

[tex]\[ x - 12 = 2y \][/tex]

Now, we add 12 to both sides to get the equation in the form of option A:

[tex]\[ x = 2y + 12 - 12 \][/tex]

[tex]\[ x = 2y \][/tex]

This matches option A, which is [tex]\( x = 2y - 6 \)[/tex], when we consider that subtracting 12 from both sides of the equation [tex]\( x = 2y + 12 \)[/tex] gives us [tex]\( x = 2y - 6 \)[/tex]. Thus, the correct answer is:

[tex]\[ \boxed{x = 2y - 6} \][/tex]

Answer:

∠ BCD = 28°

Step-by-step explanation:

The centre angle BOD is twice the angle on the circumference ∠ BFD, thus

∠ BOD = 2 × 76° = 152°

The sum of the interior angles of quadrilateral BODC = 360°

The angles at the point of contact of the tangents and the radii are 90°

Sum the interior angles and equate to 360

∠ BCD + 90 + 152 + 90 = 360

∠ BCD + 332 = 360 ( subtract 332 from both sides )

∠ BCD = 28°

Answer: For a given quadratic y = ax2 + bx + c, the vertex (h, k)

Step-by-step explanation:

A graph in the form y = ax2 will have a vertex at h, k.

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

3(2x+10)=54

distribute and multiply 3 to 2x and multiply 3 to 10

6x+30=54

subtract 30 from both sides: 30-30 and 54-30

6x=24

divide both sides by 6

---------

x=4

---------

Answer:

6 7/8 minutes

Step-by-step explanation:

Say the entertainment segments are each x minutes long. Then, we have the equation:

x + x + 1 1/4 = 15

2x + 1 1/4 = 15

2x = 15 - 1 1/4

We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:

60/4 - 5/4 = 55/4. Then: 2x = 55/4

Divide by 2 from both sides:

(55/4) / 2 = 55/8 = 6 7/8

Thus, each entertainment segment is 6 7/8 minutes long.

Hope this helps!

Answer:

6⅞ minutes

Step-by-step explanation:

15 - 1¼

60/4 - 5/4

55/4

Each segment:

55/4 ÷ 2

55/8

(48 + 7)/8

6 ⅞

Answer:

A) z= -4

Step-by-step explanation:

Answer:

z= -4

Step-by-step explanation:

Answer:

( x+1, y+5 )

Step-by-step explanation:

x+1 because adding 1 to the x coordinate would shift it over 1

y+5 because adding 5 to the y coordinate would shift it up 5

Formula for g(x) is g(f(x)) = ( x+1, y+5 )

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to function

If shift down by 4 units, subtract 4 from function

x+1 because adding 1 to the x coordinate would shift it over 1

y+5 because adding 5 to the y coordinate would shift it up 5

g(f(x)) = ( x+1, y+5 )

Hence, formula for g(x) is g(f(x)) = ( x+1, y+5 )

Learn more about graph

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Answer:

f(2) = 360

Step-by-step explanation:

Given

f(x) = 10[tex](6)^{x}[/tex]

To evaluate f(2) substitute x = 2 into f(x)

f(2) = 10[tex](6)^{2}[/tex] = 10 × 36 = 360

Answer:

Step-by-step explanation:

f(x) = -3x -2

a) f(3) = -3*3 - 2 = -9 - 2 = -11

b)f(-1) = (-3*-1) - 2 = 3 - 2 = 1

c)f (-2) = (-3 * -2 ) - 2 = 6 - 2 = 4

Answer:

a.-11

b.1

c.4

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

The middle three sentences are hyphenated correctly.

Step-by-step explanation:

Answer:

[tex]\frac{x+2}{5} = x+4[/tex]

Step-by-step explanation:

"sum of a number and two" => addition of x and 2

"divided by 5" => division by 5

"equal" => "="

"plus four" => add 4

The value of the number such that the given phrase satisfy will be -4.5 and the equation will be (x + 2)/5 = x + 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose that number is x.

The Sum of x and 2 will be x + 2.

It is divided by 5 thus, (x + 2)/5

It is equal to x + 4.

(x + 2)/5 = x + 4

(x + 2) = 5(x + 4)

x + 2 = 5x + 20

5x - x = 2 - 20

4x = -18

x = -4.5

Hence "The value of the number such that the given phrase satisfy will be -4.5 and the equation will be (x + 2)/5 = x + 4".

For more about the equation,

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Answer:

-23

Step-by-step explanation:

Plug in the x and the y into the equation:

5((2)+3)-3(4)^2

On the left side of the equation distribute the 5 to the 2 and the three to get:

(10+15)-3(4)^2

which would give us

(25)-3(4)^2

lets solve the other side now

4^2 is 16 and multiply that by 3 to get 48

so it should look like this:

25-48

=-23

Answer: The answer is -23

5(2+3)-3(4)^2 = -23

Step-by-step explanation:

:)

Answer:

the first digit like 10 x 7

Step-by-step explanation:

ur multiplying it byyyyyy 10

Answer:

multiplier

Step-by-step explanation:

7 is what's multiplying

10 is called the multiplier

Answer:

6 hours and 15 minutes

Step-by-step explanation:

4 hours + 45 minutes + 1 hour + 30 minutes = 5 hours + 75 minutes = 6 hours + 15 minutes

Answer:

The answer is 6 hours and 15 minutes.

Step-by-step explanation:

You just need to add the 4 hours and 45 minutes to the extra 1 hour 30 minutes you had to pay for.   So 4 hours and 45 minutes plus 1 hour 30 minutes gives you 6 hours 15 minutes.  

Given:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

Slope:

The slope of the line can be determined using the formula,

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

Substituting the points (-3,2) and (3,2), we get;

[tex]m=\frac{2-4}{3+3}[/tex]

[tex]m=\frac{-1}{3}[/tex]

Thus, the slope of the line is [tex]m=\frac{-1}{3}[/tex]

y - intercept:

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

Equation of the line:

The equation of the line can be determined using the formula,

[tex]y=mx+b[/tex]

Substituting the values, we have;

[tex]y=-\frac{1}{3}x+3[/tex]

Thus, the equation of the line is [tex]y=-\frac{1}{3}x+3[/tex]

The y - value for 2010:

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

[tex]x=5-5=0[/tex]

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation [tex]y=-\frac{1}{3}x+3[/tex], we have;

[tex]y=-\frac{1}{3}(0)+3[/tex]

[tex]y=3[/tex]

Thus, for 2010 the value of y is 3.

Answer:

x = 30

Step-by-step explanation:

The measure of the chord- chord angle is one half the the sum of the arcs intercepted by the angle and its vertical angle, that is

A

[tex]\frac{1}{2}[/tex] (2x + 10 + x + 20) = 60

B

Multiply both sides by 2 to clear the fraction

2x + 10 + x + 20 = 120, that is

3x + 30 = 120 ( subtract 30 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

To add decimals to the thousandths, move the decimal point to the right as needed and use zeros as placeholders when dealing with multiplication by 10s.

Adding decimals to the thousandths can be understood as manipulating numbers in the decimal number system, which is based on powers of ten.

For example, when multiplying 2.4 by 100, you are effectively moving the decimal point two places to the right. If the number does not have sufficient decimal places, you add zeros as placeholders. So, 2.4 becomes 240.

Similarly, when working with larger or smaller numbers, you will move the decimal point to the right or left respectively and add zeros where necessary. For instance, if we are to multiply 45.86 by 100, we move the decimal point two places to the right to get 4586.

The same principle applies when converting units or working with various scales. If there's a need to move the decimal to represent a larger unit, moving the decimal to the left and dividing by powers of ten is the process to follow. The process is reversed when converting to a smaller unit.

Answer:

a) = 3.96

b) = 0.72

c) = 7.94

Step-by-step explanation:

Complete question.

(A long jumper leaves the ground at an angle of 20° above the horizontal, at a speed of 11 m/sec. The height of the jumper can be modeled by h(x) = -0.046x2+ 0.364x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c.What is the length of the jump? Round to 1 decimal place.)

Solution.

Data

Θ = 20

v = 11m/s

h(x) = -0.046x² + 0.364x

x = horizontal distance

h = height

a.

h(x) = -0.046x² + 0.364x

at maximum height,

d / dx (h) = 2(-0.46x) + 0.364

d / dx (h) = -0.092x + 0.364

at maximum height d / dx (h) = 0

0 = -0.092x + 0.364

0.092x = 0.364

x = 3.96.

b).

Hmax = -0.046x² + 0.364x

Hmax = -0.046(3.96) + 0.364(3.96)

Hmax = -0.72 + 1.44

Hmax = 0.72

c) the length of the jump can be calculated using the formula for range of a projectile

R = v² sin2Θ / g

g = 9.8m/s²

R = 11² * sin 2(20) / 9.8

R = 121 * sin40 / 9.8

R = 77.777 / 9.8

R = 7.936 = 7.94

a. The maximum height occurs at a horizontal distance of 3.96 meters.

b. The maximum height of the long jumper is 0.72 meters.

c. The length of the long jumper's jump is approximately 7.94 meters.

a. The maximum height occurs when the derivative of the height function with respect to horizontal distance is equal to zero.

Given h(x) = -0.046x² + 0.364x

Taking the derivative of h(x) with respect to x:
dh/dx = -0.092x + 0.364

Setting dh/dx to zero and solving for x:
0 = -0.092x + 0.364
0.092x = 0.364
x = 3.96

Therefore, the maximum height occurs at a horizontal distance of 3.96 meters.

b. To find the maximum height, substitute x = 3.96 into the height function h(x):
h(3.96) = -0.046(3.96)² + 0.364(3.96)
h(3.96) = -0.72 + 1.44
h(3.96) = 0.72

The maximum height of the long jumper is 0.72 meters.

c. The length of the jump, also known as the range, can be calculated using the formula for the range of a projectile:

R = v^2 * sin(2θ) / g

Given:
v = 11 m/s
θ = 20°
g = 9.8 m/s²

Substitute these values into the formula:
R = 11^2 * sin(40°) / 9.8
R = 121 * sin(40°) / 9.8
R = 121 * 0.6428 / 9.8
R = 77.777 / 9.8
R ≈ 7.94

Therefore, the length of the long jumper's jump is approximately 7.94 meters.

Complete question :

(A long jumper leaves the ground at an angle of 20° above the horizontal, at a speed of 11 m/sec. The height of the jumper can be modeled by h(x) = -0.046x2+ 0.364x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c.What is the length of the jump? Round to 1 decimal place.)

Solution.

Data

Θ = 20

v = 11m/s

h(x) = -0.046x² + 0.364x

x = horizontal distance

h = height

a.

h(x) = -0.046x² + 0.364x

at maximum height,

d / dx (h) = 2(-0.46x) + 0.364

d / dx (h) = -0.092x + 0.364

at maximum height d / dx (h) = 0

0 = -0.092x + 0.364

0.092x = 0.364

x = 3.96.

b).

Hmax = -0.046x² + 0.364x

Hmax = -0.046(3.96) + 0.364(3.96)

Hmax = -0.72 + 1.44

Hmax = 0.72

c) the length of the jump can be calculated using the formula for range of a projectile

R = v² sin2Θ / g

g = 9.8m/s²

R = 11² * sin 2(20) / 9.8

R = 121 * sin40 / 9.8

R = 77.777 / 9.8

R = 7.936 = 7.94.

Answer:

Q=(1,-5)

R=(5,-5)

S=(2,-7)

Step-by-step explanation:

Answer:

33 is the correct answer.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

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