find the area of the shaded segment of the circle

Answer:

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

Exponential function for this case is:

Value of the car after 3 years:

Answer:

$19,500 - $1000

Step-by-step explanation:

the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns

$19,500 - $1000 = $18,500

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

[tex]Rate = -2h-1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]Interval: [1,1+h][/tex]

Required

The average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex][a,b] = [1,1+h][/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

Calculate f(1+h) and f(1)

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]

[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]

Evaluate squares and open bracket

[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]

[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]

[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]

Collect like terms

[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]

[tex]f(1+h) = -2h^2-h-6[/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h}{h}[/tex]

Factorize the numerator

[tex]Rate = \frac{h(-2h-1)}{h}[/tex]

Divide

[tex]Rate = -2h-1[/tex]

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Answer:

26/5

Step-by-step explanation:

an=a1+(n-1)d

d is common difference

so,

2/5- (-2)=12/5

putting values in above formula

 =-2+(4-1)(12/5)

=-2+3(12/5)

=-2+(36/5)

=26/5

Answer:

2 3/5 :)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.

mary is the 4th childs nam,e

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

Given:

BC = x + 19

ST = x + 29

Required:

Value of x

Solution:

Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side

Thus:

BC = ½(ST)

Substitute

x + 19 = ½(x + 29)

Multiply both sides by 2

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

-3

Step-by-step explanation:

The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.

Answer:

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle.

From the graph given in the picture,

Center of the circle → (-1, 1)

Radius of the circle = 3 units

Therefore, standard equation of the circle will be,

(x + 1)² + (y - 1)² = 3²

(x + 1)² + (y - 1)² = 9

General equation of the circle is the expanded form of the standard equation.

x² + 2x + 1 + y² + 1 - 2y = 9

x² + y² + 2x - 2y + 2 = 9

x² + y² + 2x - 2y - 7 = 0

Therefore, general equation of the given circle is,

x² + y² + 2x - 2y - 7 = 0

Answer:

$400

Step-by-step explanation:

The future value of the investment increase will be $6,028.98.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given:

P = $3000

R = 7%

T = 10 years

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]

A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]

A = $6,028.98

Hence, the future value will be $6,028.98.

Learn more about Compound Interest here:

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#SPJ2

te amo vato de arriba, ojalá y algún día seas mi novio y me mandes la visa y unos cuantos dólares pa'l frí fayer y comprarme más cosas de marca :"3

en fin... nunca me vas a hacer caso :")

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

solve it we get

-2x + 5y + 2 = 0   1

and

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

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

3.79 centimetres

Step-by-step explanation:

1 day = 24 hours

91 ÷ 24 = 3.79 centimetres

Answer:

if the question you're asking is how many cm does bamboo grow per hour, then around 3.81 cm per hour.

Answer:

4.8

Step-by-step explanation:

area of rectangle = lxb = 8x

area of trapezium =  (a+b)h/2 = ( x+13)6 /2 = 3x + 39

Aea of whole figure = 91.8

8x + 3x+ 39 = 91.8

11x = 91.8-39

x= 52.8 /11 = 4.8

I hope im right! !t

Answer:

E

Step-by-step explanation:

AP Classroom says so.

The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Suppose we have:

Then, we get:

[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}[/tex]

If the level of significance = [tex]\alpha[/tex]critical value of Z is: [tex]Z_{\alpha/2}[/tex], and if [tex]Z > Z_{\alpha/2}[/tex]null hypothesis, else if [tex]Z_{\alpha/2} > Z[/tex] then we cannot reject it.

For this case, we want to know if  the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.

Thus, we get our hypotheses as:

Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:

[tex]H_0: \hat{p}_1 \leq \hat{p}_2[/tex]

Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:

[tex]H_a: \hat{p}_1 > \hat{p}_2[/tex]

The test is single tailed.

For this case, we have:

Thus, we get:

[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976[/tex]

At 0.01 level of significance ([tex]\alpha = 0.01 = 1\%[/tex]), we get the critical value of Z from z-tables as:

[tex]Z_{\alpha/2} = 2.576[/tex]

Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01

At 0.05 level of significance ([tex]\alpha = 0.05 = 5\%[/tex]), we get the critical value of Z from z-tables as:

[tex]Z_{\alpha/2} = 1.96[/tex]

Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05

At 0.10 level of significance ([tex]\alpha = 0.10 = 10\%[/tex]), we get the critical value of Z from z-tables as:

[tex]Z_{\alpha/2} = 1.645[/tex]

Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10

Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.

Thus, we deduce that: Option E: There is not convincing statistical evidence

Learn more about two proportions z-test here:

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Answer:

Step-by-step explanation:

When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value.  Put in simpler language, for this question, the equation becomes.

g(x) = f(x) + 13

And the solution is

g(x) = ln(x) - 1 + 13

g(x) = ln(x) + 12

Answer: I think its B

Step-by-step explanation: hoped this helped :)

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

Answer: 4.338

Step-by-step explanation: Calculator

Answer:

C. 140, 40

Step-by-step explanation:

Supplementary angles are two angles that add up to a sum of 180°.

140+40 = 180

Answer:

4/52 or 1/13 (simplified)

Step-by-step explanation:

There are 4 "10's" in a pack.

This means you have the chance to pick 4 10's.

So out of 52 cards, you can get 4.

4/52 -> Which can be simplified to 1/13.

This is the probability of getting a 10 (once) in a standard deck of cards.

The probability of drawing a 10 from a standard deck of 52 cards is 1/13.

Number of 10's in a standard deck of 52 cards  =4

Total cards =52

Probability is the measurement of the possibilities of events.

P(event) =Favorable outcomes/ Total possible outcomes

Here, Favorable outcomes =4

Total possible outcomes =52

P(10) =4/52

P(10) =1/13

So, the probability of drawing a 10 from a standard deck of 52 cards =1/13

Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13

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Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.