Suppose we have the following fitted line:Yhat = 100 + 9X1 + 9Male + 4Male*X1where X1 is a continuous variable and Male is a 0/1 variable.What is the slope for the fitted line for the Male group?

Answer:

936 miles in 13 hours.

Step-by-step explanation:

if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.

Answer:

936 miles

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

2x = 2 times 4.5

    = 9

5y = 5 times 5.2

    = 26

2x + 5y is 9 + 26

= 35

35

Steps

2x + 5y

x = 4.5

y = 5.2

a. Substitute

2(4.5) + 5(5.2)

b. Multiply

9 + 26

c. Add

35

Therefore, the answer is 35.

Answer:

7x+29

Step-by-step explanation:

First take away ( ), so it would be 5x+15+2x+14. Then, just add the alike terms together. 7x+29

Answer:

The fourth answer, WBD is correct.

Step-by-step explanation:

As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.

Answer:

W, B and D all fall on the same line, which means that they are indeed colinear.

Step-by-step explanation:

Answer:

f(3) = -2

One value of x for which f(x) = 2 is f( 1 )

hope this helps :)

Answer:

uuuu

Step-by-step explanation:

Answer:

1. A heterotroph

2. An autotrophs

3. Genus

4. An habitat

5.The binomial nomenclature system combines two names into one to give all species unique scientific names.

6. Carolus Linnaeus

7. Living organisms residing in a habitat are called biotic components.

8. Photosynthesis

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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Subtract 4 from both sides of the equation, then subtract f from both sides and divide both sides by -7/2 to solve for f.

In order to solve for f, the equation must be manipulated to isolate it on one side of the equation. To do this, the equation must be manipulated algebraically. First, subtract 4 from both sides of the equation. This will move the constant part to the other side of the equation, leaving only the f on the left side. Then, subtract f from both sides, which will move the f to the other side and leave only the constant on the left side. Finally, divide both sides of the equation by -7/2. This will move the coefficient of f to the other side and will leave only f on one side of the equation, thus isolating it. The resulting answer is f=1. This process of manipulating the equation algebraically is called solving the equation for f.

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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Answer:

Lisa's text average is 86 :))

Step-by-step explanation:

add all numbers up then divide them by 3.

The probability distribution of X is given as P(x) = 1/4m, 2/4m, 3/4m, and 4/4m for values of x = 1, 2, 3, and 4 respectively.

To find m, we can use the fact that the sum of all probabilities in a distribution must equal 1.

So, we can set up the equation:

1/4m + 2/4m + 3/4m + 4/4m = 1

Simplifying the equation gives us:

10/4m = 1

Multiplying both sides of the equation by 4m gives us:

10 = 4m

Finally, we can solve for m by dividing both sides of the equation by 4:

m = 10/4

m = 2.5

As a decimal rounded to one decimal place, m = 2.5.

So, the probability distribution of X is P(x) = 1/10, 2/10, 3/10, and 4/10 for values of x = 1, 2, 3, and 4 respectively.

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Answer:

\((x-7)^2+y^2=1\)

Step-by-step explanation:

Hi there!

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\) where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

\((x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2\)

2) Plug in the radius (1)

\((x-7)^2+y^2=1^2\\(x-7)^2+y^2=1\)

I hope this helps!

Answer:

Step-by-step explanation:

Explanation in image

The answer is 12. Because when you arrange the numbers like this

11, 11, 12, 13, 13

The middle number is 12

Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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Answer:

Volume of cylinder = 706.5 units

Step-by-step explanation:

Volume of cylinder = πr^2×h

=3.14×5^2×9

=706.5 units

Answer:

3*x+6

Step-by-step explanation:

formulate

3*x+6

Answer:

6

Step-by-step explanation:

Hayden uses 3 cups of water to make a broth for soup

He uses 3 times as many cups of milk

Therefore the number of broth ounces made by Hayden can be calculated as follows

= 3+3

= 6

The woman invested $5,000 at 8% per year and $3,000 at 10% per year.

Let's assume the amount the woman invested at 8% per year is x, and the amount she invested at 10% per year is y.

We are given the following information:

1) The total amount she invested is $8,000:

  x + y = $8,000

2) The interest earned in the first year is $700:

  0.08x + 0.10y = $700

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.

From equation 1, we have x = $8,000 - y.

Substituting this value of x into equation 2:

0.08($8,000 - y) + 0.10y = $700

640 - 0.08y + 0.10y = $700

Combining like terms:

0.02y = $700 - $640

0.02y = $60

Dividing both sides by 0.02:

y = $60 / 0.02

y = $3,000

Substituting the value of y back into equation 1:

x + $3,000 = $8,000

x = $8,000 - $3,000

x = $5,000

Therefore, the woman invested $5,000 at 8% per year and $3,000 at 10% per year.

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Answer:

36 cm

Step-by-step explanation:

\(V= \frac{4}{3} \pi r^{3}\)

\(3V= 4\pi r^{3}\)

\(r^{3}=\frac{3V}{4\pi }\)

\(r= 3\sqrt{\frac{3V}{4\pi } }\)

\(r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }\)

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

The particular solution is:  \(y_{p(x)}\) = (-1/32) cos(4x) + (1/32) sin(4x)

and the general solution to the nonhomogeneous differential equation is:

\(y(x) = y_{c(x)} + y_{p(x)} = c_1 cos(4x) + c_2 sin(4x) - (1/32) cos(4x) + (1/32) sin(4x)\)

where c₁ and c₂  are constants determined by initial conditions.

What is the homogeneous differential equation?

A homogeneous differential equation is a differential equation in which all the terms can be expressed as a function of the dependent variable and its derivatives. In other words, a homogeneous differential equation can be written in the form:

F(x, y, y', y'', ..., yⁿ) = 0

To find a particular solution to the nonhomogeneous differential equation:

yⁿ + 16y = cos(4x) + sin(4x)

we can use the method of undetermined coefficients.

First, we find the complementary solution to the homogeneous differential equation:

yⁿ + 16y = 0

The characteristic equation is:

rⁿ + 16 = 0

which has roots:

r = ±4i

The complementary solution is:

\(y_{c(x)} = c_1 cos(4x) + c_2 sin(4x)\)

where c₁ and c₂ are constants determined by initial conditions.

Next, we find a particular solution \(y_{p(x)}\) to the nonhomogeneous differential equation using the following steps:

Find the general form of the nonhomogeneous term:

cos(4x) + sin(4x) = A cos(4x) + B sin(4x)

where A and B are constants to be determined.

Find the derivatives of the general form of \(y_{p(x)}\):

\(y_{p(x)}\)= A cos(4x) + B sin(4x)

\(y'_{p(x)}\)= -4A sin(4x) + 4B cos(4x)

\(y''_{p(x)}\) = -16A cos(4x) - 16B sin(4x)

Substitute the general form of  \(y_{p(x)}\) and its derivatives into the nonhomogeneous differential equation:

(-16A cos(4x) - 16B sin(4x)) + 16(A cos(4x) + B sin(4x)) = cos(4x) + sin(4x)

Simplifying, we get:

(16B - 16A) sin(4x) + (16A + 16B) cos(4x) = cos(4x) + sin(4x)

Since this equation must hold for all values of x, we equate the coefficients of sin(4x) and cos(4x) separately:

16B - 16A = 1

16A + 16B = 1

Solving for A and B, we get:

A = -1/32

B = 1/32

Therefore, the particular solution is:  \(y_{p(x)}\) = (-1/32) cos(4x) + (1/32) sin(4x)

and the general solution to the nonhomogeneous differential equation is:

\(y(x) = y_{c(x)} + y_{p(x)} = c_1 cos(4x) + c_2 sin(4x) - (1/32) cos(4x) + (1/32) sin(4x)\)

where c₁ and c₂  are constants determined by initial conditions.

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Compete question:

Find a particular solution to the non-homogeneous differential equation yⁿ + 16y = cos(4x) + sin(4x)

Answer:

Step-by-step explanation:

I think it's b

a) Mark earns $110 at the rock concert,  b) i) Mary's annual income is $66,000, c) Danny's regular salary is $400 and his overtime salary is $75. His total salary is $475.

a) Mark sells 200 programs, so he earns an additional $0.45 for each program. Therefore, his earnings from selling programs is 200 * $0.45 = $90. In addition, he earns a fixed amount of $20 for showing up. Therefore, his total earnings at the rock concert is $20 + $90 = $110.

b) i) Mary's annual income is her monthly salary multiplied by 12 since there are 12 months in a year. Therefore, her annual income is $5,500 * 12 = $66,000.

ii) Mary's gross earnings per pay period would depend on the pay frequency. If we assume a monthly pay frequency, her gross earnings per pay period would be equal to her monthly salary of $5,500.

iii) If Mary is paid semi-monthly, her earnings per pay period would be half of her monthly salary. Therefore, her earnings per pay period would be $5,500 / 2 = $2,750.

iv) If Mary is paid weekly, we need to divide her monthly salary by the number of weeks in a month. Assuming there are approximately 4.33 weeks in a month, her earnings per pay period would be $5,500 / 4.33 = $1,270.99 (rounded to the nearest cent).

c) To calculate Danny's regular salary and overtime, we need to consider his regular working hours and overtime hours.

Regular working hours: 8 hours on Monday + 8 hours on Tuesday + 8 hours on Wednesday + 8 hours on Thursday = 32 hours.

Overtime hours: 10 hours on Wednesday (2 hours overtime) + 10 hours on Friday (2 hours overtime) = 4 hours overtime.

Regular salary: Regular working hours * hourly rate = 32 hours * $12.50/hour = $400.

Overtime salary: Overtime hours * hourly rate * overtime multiplier = 4 hours * $12.50/hour * 1.5 = $75.

Therefore, Danny's regular salary is $400 and his overtime salary is $75. His total salary would be the sum of his regular salary and overtime salary, which is $400 + $75 = $475.

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Answer:

5 (x + 3) = 3x + 17

you welcome :)

Answer:

Try 50% (Yes this is rounded to nearest hundredth)

Answer:75% increase

Step-by-step explanation:

The percentage increase is found by dividing the increase by the starting number, then multiplying that result by 100%.

Percent Change = (Increase ÷ First Value) x 100%

Note: the percent increase measures FROM the first value. An increase from 50 of 25 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). If that increase were looked at the other way around, it would be a different percentage change (75 decreases by 25 to 50 is a decrease of 33.3%).