what is the effect on the graph of the function f(x)=5x³ when f(x) is replaced with f(x)-8?A. translate vertically 8 units upB. translate vertically 8 units downC. translate horizontally 8 units left D.translate horizontally 8 units right

Answer:

Step 1: Identify the important information.

Step 2: Make a plan.

Step 3: Solve the problem using your plan.

Step 4: Check your work using a different strategy.

Step-by-step explanation:

Step 1: Identify the important information.

Step 2: Make a plan.

Step 3: Solve the problem using your plan.

Step 4: Check your work using a different strategy.

Answer:

4 mph

Explanation:

8 miles / 2 hours = 4 miles each hour

The number of possible arrangements of pictures she can hang on her wall is 120.

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

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Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

The measure of side AC in the triangle is 2.7 m

From the question, we are to determine the measure of AC

From the given information, we have that ΔADC is similar to ΔCDB

Thus,

We can write that

|DC| / |DB| = |AC| / |CB|

From the diagram,

|DC| = 5.5 m

|DB| = 6.3 m

|AC| = h

|CB| = 3.1 m

Then,

5.5 / 6.3 = h / 3.1

∴ h = (5.5 × 3.1) / 6.3

h = 17.05 / 6.3

h = 2.70635 m

h ≈ 2.7 m

Hence,

The length of AC is 2.7 m

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Answer:

15

Step-by-step explanation:

you can't divide 4/15 down to have a denominator of 5 since 4 cant divide by 3 evenly

you can't divide 15 by something to get 10

so the only answer is 15

so 1/5 would turn into 3/15 by multiplying the top and bottom by 3

You have to work in factors of 5 because thats what they have in common

Answer:

15

Step-by-step explanation:

1/5+4/15=3/15+4/15

We have our common denominator.

We have to multiply the numerator with the denominator.

We multiplied 5 by 3 to get to 15, so we do the same to 1:

3/15+4/15=7/15

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Answer: 136  17/36

Step-by-step explanation:

Answer:

a.8

Step-by-step explanation:

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Answer:

Step-by-step explanation:

Semester Costs = 8*2858 =                     22864

Books / semester= 8 * 391 =                        3128

Total                                                            25992

If he wants to repay all this in six years the answer would be

45000 + 25992/6 = 45000 + 4332 = 49332

Answer:

49332

Step-by-step explanation:

Answer:

the correct answer is truly

Step-by-step explanation:

STOP CHEATING ON THID APP

So

\(\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}\)

\(\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5\)

Second bag is more preferable

Answer:

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28

The inequality for which 3, -4, 0, and 2,300 are solutions, is n ≥ -4.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have numbers:

3, -4, 0, 2, and 300.

All the numbers are greater than or equals to -4.

So, the inequality is,

n ≥ -4.

And the solutions are  3, -4, 0, 2, and 300.

Hence, n ≥ -4.

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Answer:

One.  The point at which the parabola and the line intersect.

Answer:

3/10

Step-by-step explanation:

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

the bag contains 10 marbles in total

the problem tells us that the bag contains 3 blue marbles

the probablity that a blue marble is drawn is 3/10

After accounting for inflation, the true price of coffee climbed by 14.22% between 1990 and 2022.

To compute the percentage change in the real price of a coffee from 1990 to 2022, we need to adjust the 1990 price for inflation using the CPI for both years.

The inflation rate from 1990 to 2022 is given by:

Inflation rate = ((CPI in 2022 - CPI in 1990) / CPI in 1990) * 100%

= ((260 - 99) / 99) * 100%

= 162.63%

This means that prices increased by 162.63% from 1990 to 2022.

To adjust the 1990 price of $2 for inflation, we multiply it by the inflation factor:

Inflation factor = CPI in 2022 / CPI in 1990

= 260 / 99

= 2.6262

Adjusted price in 2022 dollars = 2 * 2.6262 = 5.2524

Now we can calculate the percentage change in the real price of a coffee from 1990 to 2022:

Percentage change = ((2022 price - 1990 price) / 1990 price) * 100%

= ((6 - 5.2524) / 5.2524) * 100%

= 14.22%

Therefore, the real price of a coffee increased by 14.22% from 1990 to 2022 after adjusting for inflation.

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The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Answer:64

Step-by-step explanation:16 × 4

Step-by-step explanation:

i think its no, but im not sure.

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

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

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Answer:

Yes it's possible you just got to crop it to your liking

Answer: upload it’s to your drive on your computer

Step-by-step explanation:

The vector parametrization of the ellipse is: r⃗ (t) = <8cos(t), 6sin(t)>

The vector parametrization of the ellipse centered at the origin in the xy-plane with major diameter 16 along the x-axis and minor diameter 12 along the y-axis is given by:

r⃗ (t) = <8cos(t), 6sin(t)>

This parametrization makes the point (8,0) correspond to t=0, as required. The parameter t is used to describe the position of a point on the ellipse as it moves counterclockwise around the ellipse. The vector notation is used to represent the parametrization in terms of the x and y components of the vector.

To find the parametrization, we use the fact that the equation of an ellipse centered at the origin with major diameter 2a along the x-axis and minor diameter 2b along the y-axis is given by:

(x/a)^2 + (y/b)^2 = 1

We can solve for x and y in terms of the parameter t by using the trigonometric identities:

cos^2(t) + sin^2(t) = 1

x = a*cos(t)

y = b*sin(t)

Plugging in the values for a and b, we get:

x = 8*cos(t)

y = 6*sin(t)

Therefore, the vector parametrization of the ellipse is:

r⃗ (t) = <8cos(t), 6sin(t)>

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Answer:

Answer is (4+3i)+(5-6i)=(9-3i)

Step-by-step explanation:

I hope it's helpful!

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

Work Shown:

(4+3i) + (5-6i)

4+3i + 5-6i

(4+5) + (3i-6i)

9 + (3-6)i

9 + (-3)i

9 - 3i

As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.

The value of the variable 'x' will be 25. Then the correct option is B.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.

Quadrilateral EFGH is inscribed in a circle as shown. ∠F = (4x + 10)°, ∠G = (2x - 5)º, and ∠H = (3x - 5)°.

Angles ∠F and ∠H will be supplementary angles. Then the equation is given as,

∠F + ∠H = 180

4x + 10 + 3x - 5 = 180

7x = 175

x = 25

The value of the variable 'x' will be 25. Then the correct option is B.

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The area of the curve in the normal distribution is 1.3788.

A probability bell curve should be referred to as the normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively. The kurtosis is 3, and there is no skew. Not all symmetrical distributions are normal, but all normal distributions are symmetrical. A lot of naturally occurring phenomena resemble the normal distribution The majority of price distributions in finance, however, are not exactly normal.

The area for the curve of the normal distribution can be calculated using the area of z-score table.

For the left region we have:

z-score (-0.29) = 0.3859

For the right region we have:

z-score (2.45) = 0.9929

The total area is:

Area = 0.3859 + 0.9929

Area = 1.3788

Hence, the area of the curve in the normal distribution is 1.3788.

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