Parent function: y=x^(3) Shift 6.5 units to the left. Reflect across the y-axis. Shift upward 3.1 units.

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

Answer:

b)280° and c) 270°

A reflex angle is an angle which is more than 180° but less than 360°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Step-by-step explanation:

180 is reflex angle.

hope it's helpful

The probability that the sample mean would be less than 19,448 miles is 0.9972

Given,

The mean mileage of a tire, μ = 20,138

The standard deviation, σ = \(\sqrt{10,304,100}\) = 3210

Sample size, n = 171

We have to find the probability that the sample mean would be less than 19,448 miles.

That is,

P(X < 19448)

Since the sample size in this instance is greater than 30, we can utilise the central limit theorem and the z score formula provided by:

z = (X - μ) / (σ/√n)

The following would be the sample mean's distribution:

X ≈ N (μ, σ/√n)

In this situation, the z score was found to be:

z = (19448 - 20138) / (3210/√171)

z = -690 / 245.48

z = 2.81

Using the conventional table, we get the following:

P(z < 2.81) = 0.9972

That is,

The probability that the sample mean would be less than 19,448 miles is 0.9972

Learn more about probability here;

https://brainly.com/question/17011174

#SPJ4

Answer:

100

Step-by-step explanation:

let 's' = score on 6th test

[88(5) + s] ÷ 6 = 90

\(\frac{(440+s)}{6}\) = 90

cross-multiply to get:

440 + s = 540

s = 100

Answer:

V = 24.28 in ^3

Step-by-step explanation:

The area of the base is

A =5/2 × s × a  where s is the side length and a is the apothem

A = 5/2 ( 2.13) * .87

A = 4.63275

The volume is

V = Bh  where B is the area of the base and h is the height

V = 4.63275 ( 5.24)

V =24.27561 in^3

Rounding to the  hundredth

V = 24.28 in ^3

Answer:Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?

StartFraction 1 Over 16 EndFraction of a cup

StartFraction 1 Over 8 EndFraction of a cup

StartFraction 3 Over 16 EndFraction of a cup

Three-fourths of a cup

Step-by-step explanation:

Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?

StartFraction 1 Over 16 EndFraction of a cup

StartFraction 1 Over 8 EndFraction of a cup

StartFraction 3 Over 16 EndFraction of a cup

Three-fourths of a cup

Answer:

3/4 or D

Step-by-step explanation:

The coordinates of K such that JK is 2/9 of JL are given as follows:

K(3, -4).

The coordinates of K are obtained applying the proportions in the context of the problem.

Considering that JK is 2/9 of JL, the equation is given as follows:

K - J = 2/9(L - J).

Hence the x-coordinate of K is obtained as follows:

x + 3 = 2/9(24 + 3)

x + 3 = 6

x = 3.

The y-coordinate of K is obtained as follows:

y - 4 = 2/9(-32 - 6)

y - 4 = -8

y = -4.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

a = -7

Step-by-step explanation:

a - 5 = -12

  +5     +5

a = -7

Answer:

a = -7

Step-by-step explanation:

First, we have to make both sides equal. We do this by isolating the variable a. When we add 5 to -12, it becomes -7.

The general solution is the sum of the complementary and particular solutions: y(x) = y_c(x) + y_p(x) = c1 cos(4x) + c2 sin(4x) + ((1/16)x + 1/8) sin(4x) + (Cx + D) cos(4x).

y" + 16y = x sin(4x) using the method of undetermined coefficients-annihilator approach, we follow these steps:

Step 1: Find the complementary solution:

The characteristic equation for the homogeneous equation is r^2 + 16 = 0.

Solving this quadratic equation, we get the roots as r = ±4i.

Therefore, the complementary solution is y_c(x) = c1 cos(4x) + c2 sin(4x), where c1 and c2 are arbitrary constants.

Step 2: Find the particular solution:

y_p(x) = (Ax + B) sin(4x) + (Cx + D) cos(4x),

where A, B, C, and D are constants to be determined.

Step 3: Differentiate y_p(x) twice

y_p''(x) = -32A sin(4x) + 16B sin(4x) - 32C cos(4x) - 16D cos(4x).

Substituting y_p''(x) and y_p(x) into the original equation, we get:

(-32A sin(4x) + 16B sin(4x) - 32C cos(4x) - 16D cos(4x)) + 16((Ax + B) sin(4x) + (Cx + D) cos(4x)) = x sin(4x).

Step 4: Collect like terms and equate coefficients of sin(4x) and cos(4x) separately:

For the coefficient of sin(4x), we have: -32A + 16B + 16Ax = 0.

For the coefficient of cos(4x), we have: -32C - 16D + 16Cx = x.

Equating the coefficients, we get:

-32A + 16B = 0, and

16Ax = x.

From the first equation, we find A = B/2.

Substituting this into the second equation, we get 8Bx = x, which gives B = 1/8.

A = 1/16.

Step 5: Substitute the determined values of A and B into y_p(x) to get the particular solution:

y_p(x) = ((1/16)x + 1/8) sin(4x) + (Cx + D) cos(4x).

Step 6: The general solution is the sum of the complementary and particular solutions:

y(x) = y_c(x) + y_p(x) = c1 cos(4x) + c2 sin(4x) + ((1/16)x + 1/8) sin(4x) + (Cx + D) cos(4x).

learn more about  general solution

https://brainly.com/question/31491463

#SPJ11

False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

Learn more about variations at: brainly.com/question/17287798

#SPJ11

The rate of growth of revenue when 420 units have been sold is R'(420) = R'(350)..

Revenue from selling x units = R(x). Also, sales are increasing at a rate of 70 per day. That means if x units are sold today, then tomorrow, the units sold would be (x + 70) units. Rate of increasing sales = 70 per day. Now, when 420 units have been sold:

Initial units sold = x = 420 - 70 = 350 units

Total units sold = 420 units

Number of units sold today = 420 - 350 = 70 units

Now, Revenue generated from 350 units of the item = R(350)

Revenue generated from 420 units of the item = R(420)

Rate of growth of revenue when 420 units have been sold = R'(420)\

From the definition of the derivative:

R'(x) = lim_ {h→0} {R(x+h) - R(x)}/{h}

R'(420) = lim_ {h→0} {R(420+h) - R(420)}/{h}

R(420) = R(350 + 70) = R(350) + R'(350) * (70)And, R(420 + h)

= R(350 + 70 + h) = R(350) + R'(350) * (70 + h), Using these equations,

R'(420) = lim_ {h→0} {R(350) + R'(350) * (70 + h) - R(350) - R'(350) * (70)}/{h}

= lim_ {h→0} {R'(350) * h}/{h}

= R'(350)

Thus, the rate of growth of revenue when 420 units have been sold is R'(420) = R'(350).

To learn more about rate of growth refer :

https://brainly.com/question/14263843

#SPJ11

Answer:

X=121, y=59, w=59, z=53

Step-by-step explanation:

To find w, we know that the interior angles of a triangle are 180°. Thus ↓

180-31-90=59

For y, we know that y and w are opposite angles. Therefore, y = w = 59.

To find x, we know that there is a one straight line, so therefore we use ↓

180-59=121

Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓

180-59-68=53

I've attached a photo for better understanding. Hope this helps =)

The Fahrenheit temperature of the cup of water, after 4.5 minutes, is given as follows:

155ºF.

The temperature function is defined as follows:

\(T(t) = T_a + (T_0 - T_a)e^{-kt}\)

Considering the surrounding and initial temperature, we have that the function is given as follows:

\(T(t) = 69 + 135e^{-kt}\)

The temperature after 1.5 minutes is of 185ºF, hence the coefficient k is obtained as follows:

\(185 = 69 + 135e^{-1.5k}\)

\(e^{-1.5k} = \frac{116}{135}\)

\(k = -\frac{\ln{\left(\frac{116}{135}\right)}}{1.5}\)

k = 0.1011.

Hence:

\(T(t) = 69 + 135e^{-0.1011t}\)

Hence the temperature after 4.5 minutes is given as follows:

\(T(4.5) = 69 + 135e^{-0.1011 \times 4.5}\)

T(4.5) = 155ºF.

More can be learned about Newton's Law of Cooling at https://brainly.com/question/10321943

#SPJ1

Brandon's concern about his performance compared to the average test taker, even after he correctly answered 80% of the items on a math achievement test.

How well an individual has performed in a certain area or task is assessed by two basic types of testing: criterion-referenced and norm-referenced tests. The primary goal of the criterion-referenced test is to identify how well the person being tested can perform certain tasks. In contrast, norm-referenced tests compare the results of a person's test to a norm or average score.

This enables the results to be compared to a large sample of test-takers and allows for comparisons between the performance of different people .The issue of norm-referenced test is related to Brandon's concern because the 80% score he achieved on the math achievement test will only tell him how well he performed on that particular test, but not how well he performed when compared to the average test-taker.

To know more about Brandon's visit:

https://brainly.com/question/2283795

#SPJ11

Answer:

Yeah I think you're correct I got the same

Step-by-step explanation:

Answer:

10 i think

Step-by-step explanation:

since the number on the left side of the lin represents 10s and the right side represents ones, so there are 10 units in between 15 and 30 (sorry for the bad explanation lol)

Given:

The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

Find out more on fundraisers at https://brainly.com/question/11052612

#SPJ1

Answer:

The measure of angle B is 80°. B is the correct answer.

Answer:

B. mB = 80°

Step-by-step explanation:

Supplementary angles add to 180 degrees

100 +x = 180

x = 180-100

x = 80 degrees

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

To know more about the median, visit:

brainly.com/question/300591

#SPJ11

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Answer:

a. ¼

(Below is the Screenshot on EdgeCourseware)

1/4 must be added to the given expression to make it a perfect-square trinomial.

The given expression is x²+x.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Add 1/4 to the given expression, we get

x²+x+1/4

= x²+x+(1/2)²

= (x+1/2)²

Verification:

x²+2.x.1/2+1/4

= x²+x+1/4

Therefore, 1/4 must be added to the given expression to make it a perfect-square trinomial.

To learn more about an expression visit:

https://brainly.com/question/14083225.

#SPJ2

Answer:

m = -2

Step-by-step explanation:

because of rise/run you can simply see the slope

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

To know more about function visit:-

https://brainly.com/question/30721594

#SPJ11

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

It's not written as a function, but it can still be differentiated using the chain rule:

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

(I used parentheses to show the differentiation of each term in the original equation.)

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

Let's plug that in for y in the original equation to find points where that's the case.

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

So at the point (2, -1) the tangent is vertical.

Now try x = -2...

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

So at the point (-2, 1) the tangent is vertical.

The intercepts, asymptotes, and domain of the given function are as follows:

Domain: (-∞,-1/8) ∪ (-1/8,∞)

y-intercept: (0, -1/8)

x-intercept: (1/3, 0)

Vertical asymptote: x = -1/8

Horizontal asymptote: y = 3/8.

The given function is: f(x) = (3x - 1) / (8x + 1)

To simplify the function, we can rewrite it as:

f(x) = [3(x - 1/3)] / [8(x + 1/8)] = (3/8) * [(x - 1/3)/(x + 1/8)]

Domain:

The function is defined for all x except when the denominator is zero, i.e., (8x + 1) = 0

This occurs when x = -1/8

Therefore, the domain of the function is: D = (-∞,-1/8) U (-1/8,∞)

In interval notation: D = (-∞,-1/8) ∪ (-1/8,∞)

y-intercept(s):

When x = 0, we get: f(0) = (-1/8)

Therefore, the y-intercept is (0, -1/8)

x-intercept(s):

When y = 0, we get: 3x - 1 = 0 => x = 1/3

Therefore, the x-intercept is (1/3, 0)

x-value of any holes:

There are no common factors in the numerator and denominator; therefore, there is no hole in the graph.

Equation of Vertical asymptotes:

Since the denominator of the simplified function is zero at x = -1/8, there is a vertical asymptote at x = -1/8.

Equation of Horizontal asymptote:

When x approaches infinity (x → ∞), the terms with the highest degree become more significant. The degree of the numerator and denominator is the same, i.e., 1. Therefore, we can apply the rule for finding the horizontal asymptote:

y = [Coefficient of the highest degree term in the numerator] / [Coefficient of the highest degree term in the denominator]

y = 3/8

Therefore, the equation of the horizontal asymptote is y = 3/8.

To know more about asymptotes

https://brainly.com/question/32038756

#SPJ11

The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Here, we have,

we are given the following equations:

i) x-2y= 4

ii) 4x+5y= 8

iii) 6x-5y=15

iv) x+2y=0

Required:

Which system of equations has a solution of approximately (1.8, –0.9).

To find the approximate equations, substitute x and y for  1.8 and  -0.9 into all the equations respectively and check the resulting values

i) Substitute (1.8, -0.9) in x-2y= 4:

1.8 - 2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

ii) Substitute (1.8, -0.9) in 4x+5y= 8

4(1.8) + 5(-0.9) = 8

7.2 - 4.5 = 8.

2.7 ≠ 8.

iii) Substitute (1.8, -0.9) in 6x-5y=15

6(1.8) - 5(-0.9) = 15.

10.8 + 4.5 = 15

15.3 ≠ 15.

This equation has a solution that is close, therefore it is correct.

iv) Substitute (1.8, -0.9) in x+2y=0

1.8 + 2(-0.9) = 0.

1.8 - 1.8 = 0.

0 = 0.

x + 2 y = 0 has the exact value, therefore it is also correct.

The system of equations that has a solution of approximately (1.8, –0.9) are: x+2y=0 and 6x-5y=15

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

a Fraction

_________

3 2/3

Fraction number is 3 × 3 + 2 = 9+2=11

The figures after each reflection are given at the end of the answer.

The rule for the reflection over the x-axis is:

(x,y) -> (x, -y)

Hence the signal of the y-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(0,-2), B'(1,3) and C(2,-4)

The rule for the reflection over the x-axis is:

(x,y) -> (-x, y)

Hence the signal of the x-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(2,-4), B'(-6,2) and C'(-3,-5)

The rule for the reflection over the line y = -2 is:

(x,y) -> (x, y +/- constant)

The constants for each point are given as follows:

More can be learned about reflections at https://brainly.com/question/27224272

#SPJ1

The probability that sample is greater than 418 will be is 6.533.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Here we have

\(\mu=397.64,n=40,\sigma=20\)

According to central limit theorem, the sampling distribution of mean will be normal with mean

\(\mu_{\bar{x}}=\mu=397.64\)

and standard deviation

\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)

The z-score for\(\bar{x}=418\) is

\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)

Therefore, the probability that sample is greater than 418 will be

\(P(\bar{x} > 418)=P(z > 6.533)\)

Learn more about probability here:

https://brainly.com/question/29557037

#SPJ4

Incomplete Question

Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)

c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?