4. The store offers a similar deal if you purchase the $139.95 workouts but with a 20% off discount
instead of 15% for purchases over $1000. The home gym she'd really like, the Shredmaster 5000,
costs $1199 before-tax. Write a new function, g(x) for this second deal and calculate the
before-tax cost of the Shredmaster 5000.

Answer:

5 ≤ 2n - 3.6

Step-by-step explanation:

Five is less than or equal to the difference of twice a number n and 3.6

Five is less than or equal to:  5 ≤

twice a number n:  2n

difference of twice a number n and 3.6:  2n - 3.6

Therefore,

5 ≤ 2n - 3.6

Number is n

Twice a number means multiplication

Difference means subtraction

The expression becomes

5<=2n-3

point-slope form

y - y₁ = m(x - x₁)

\(y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5\)

The answer is A) Choice A.

Answer:

Your answer should be $29.40

Step-by-step explanation:

If you divide 21 by 5 you get 4.2, so each book costs $4.20.

4.2 x 7 = 29.4

Therefore, your total cost for 7 books will be $29.40

I hope this helps!

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Answer:

it's 2.6

I took the quiz and got it right

Answer:

2.6 cm

Step-by-step explanation:

Let d be the distance in centimeters on the map.

\(\frac{1}{2}=\frac{d}{5.2}\)

2d = 5.2

d = 2.6

The value of a and b are 70 and 120 respectively.

What is the scale of a graph?

The scale is what you mark on the axes. It's the relation between the units you're using, and their representation on the graph i.e., the distance between marks.

In given question,

we take 1 unit scale = 10 cm.

If we take A = 70 cm

Then B = 120 cm.

Hence the value of A and B are 70 and 120 respectively.

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Answer:

5

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

95/19 = 5

To verify take the third term and divide by the second term

475/95 = 5

The common ratio is 5

Answer:

reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.  

Making your equation simplified to

1/2 + 1/2

which is equal to 1

1/2 + 1/2 = 1

Step-by-step explanation:

Hope this helps! Have a fantastic day and please mark brainliest

Answer:

3/6+1/2

find the lcm of 6&2 = 6

3+3/6= 6/6 = 1

The matrix K is \(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\) .

The eigenvalues of A are the roots of the characteristic polynomial of A, which is:

det(A - xI) = (x + 1)(x + 3)(x + 4)(x + 10)

The eigenvalues of A are -1, -3, -4, and -10.

We want the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j. The characteristic polynomial of A - BK is:

det(A - BK - xI) = (x + 1)(x + 1)(x + 1 + j)(x + 1 - j)

To make the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j, we need to set the following equations equal to 0:

(x + 1)(x + 1) = 0

(x + 1 + j)(x + 1 - j) = 0

The first equation gives x = -1 and x = -1. The second equation gives x = -1 + j and x = -1 - j.

Therefore, the matrix K must be such that B * K = [-1, -1, -1 + j, -1 - j]T.

One possible matrix K is:

\(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\)

This matrix satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is a possible value of K.

Another possible matrix K is:

\(\left[\begin{array}{cccc}0&0&j&-j\\1&0&0&0\\0&1&0&0\\0&0&0&0\end{array}\right]\)

This matrix also satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is also a possible value of K.

There are many other possible matrices K that satisfy the equation B * K = [-1, -1, -1 + j, -1 - j]T. The specific value of K that you choose will depend on your specific application.

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There is a triangle EDG. The point F is on side EG. There is a segment FD divided the angles D in two equal degrees. The length of EF is x and FG is x + 10. The length of ED is 24 and DG is 54. The length of EG is approximately 59.0 units.

To find the length of EG, we can use the Law of Cosines in triangle EDG. The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the measure of angle D as θ. Since FD bisects angle D, we can say that angle EFD and angle GFD are each θ/2 degrees.

In triangle EDG, we can use the Law of Cosines to find the length of EG. The Law of Cosines states:

EG^2 = ED^2 + DG^2 - 2 * ED * DG * cos(θ) (1)

We are given that ED = 24 and DG = 54. Let's substitute these values into equation (1):

EG^2 = 24^2 + 54^2 - 2 * 24 * 54 * cos(θ) (2)

Now, we need to find the value of cos(θ). Since FD bisects angle D, we can say that angle EFD and angle GFD are each θ/2 degrees. This means that the sum of these angles is θ:

(θ/2) + (θ/2) = θ

Simplifying:

θ = θ

Therefore, the value of θ is not determined by the given information. Without the specific value of θ, we cannot calculate the exact length of EG.

However, if we assume that θ = 90 degrees (a right triangle), we can calculate EG using equation (2):

EG^2 = 24^2 + 54^2 - 2 * 24 * 54 * cos(90°)

EG^2 = 576 + 2916 - 2592 * 0

EG^2 = 576 + 2916

EG^2 = 3492

EG ≈ √3492

EG ≈ 59.0

Therefore, if θ = 90 degrees, the length of EG is approximately 59.0 units.

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Answer:

3 = 3/4

but 3/4= 0.75

3 = 0.75

x = 25

cross multiply

0.75x = 75

divide both sides by 0.75

x = 100

therefore 25miles represent 100inch on a map

Answer:

Answer is 20

Step-by-step explanation:

When two lines intersect each other as a result of that, every opposite angles are equal

so,

6x+20 = 140

6x = 120

x = 120/6

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite are equal

therefore

6x + 20 = 140

6x = 140-20

6x = 120

6x/6 = 120/6

x = 20

Answer:

-30

Step-by-step explanation:

7m + 2n - 8p/n

Let  m = –4, n = 2, and p = 1.5

7(-4) + 2 ( 2) -8*(1.5)/2

-28 + 4 - 4*1.5

-28+ 4 - 6

-30

Answer:

-30

Step-by-step explanation:

Hey there!

Well given,

m = -4

n = 2

p = 1.5

We need to plug those number into,

7m + 2n - 8p/n

7(-4) + 2(2) - 8(1.5)/(2)

-28 + 4 - 12/2

-28 + 4 - 6

-24 - 6

-30

Hope this helps :)

Answer:(0, -28) and (4,0)

Step-by-step explanation:

\(7(0)-y =28\\-y=28\\y=-28\\(0, -28)\)

\(7x-0= 28\\x=4\\(4,0)\)

We have shown that if X is a standard normal random variable, then X^2 is a chi-squared random variable with 1 degree of freedom. This result is useful in many statistical applications, particularly in hypothesis testing, where the chi-squared distribution is used to determine the significance of the difference between observed and expected values.

Suppose X is a standard normal random variable, which means that X follows a normal distribution with a mean of 0 and a standard deviation of 1. We want to show that X^2, the square of X, is a chi-squared random variable with 1 degree of freedom.

To begin, we need to understand what a chi-squared random variable is. A chi-squared random variable is the sum of the squares of independent standard normal random variables. That is, if X1, X2, ..., Xk are independent standard normal random variables, then Y = X1^2 + X2^2 + ... + Xk^2 is a chi-squared random variable with k degrees of freedom.

In our case, we have only one standard normal random variable X. Therefore, Y = X^2 is a chi-squared random variable with 1 degree of freedom.

To verify that Y = X^2 is a chi-squared random variable with 1 degree of freedom, we need to show that Y has the probability density function (pdf) of a chi-squared random variable with 1 degree of freedom. The pdf of a chi-squared random variable with k degrees of freedom is given by:

f(y) = (1/2^(k/2) * Γ(k/2)) * y^(k/2 - 1) * e^(-y/2)

where Γ(k/2) is the gamma function evaluated at k/2.

In our case, k = 1, so the pdf of Y = X^2 is:

f(y) = (1/2^(1/2) * Γ(1/2)) * y^(1/2 - 1) * e^(-y/2)

= (1/2^(1/2) * √(π)) * y^(-1/2) * e^(-y/2)

We can simplify this expression using the fact that √(π) = 2Γ(1/2):

f(y) = (1/2 * Γ(1/2)) * y^(-1/2) * e^(-y/2)

= (1/2 * √(π)) * y^(-1/2) * e^(-y/2)

= 1/√(2π) * y^(-1/2) * e^(-y/2)

We recognize this expression as the pdf of a chi-squared random variable with 1 degree of freedom. Therefore, we have shown that Y = X^2 is a chi-squared random variable with 1 degree of freedom.

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Heritability is a statistic that refers to the proportion of variance in a group of individuals that can be accounted for by genetic variance.

These are differences in cells of organisms as a result of genetic differences or environmental factors.

Plomin et al. (2019) coined Heritability as being a statistics which talks about the level of variance in a group of organisms.

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D. 26

\(2n - 3 : 8\)

60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.

Answer:

2:2:2

1:1:1

2 to 2 to 2

1 to 1 to 1

Step-by-step explanation:

Answer:

(- 1, 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \(\frac{1}{2}\) (x₁ + x₂ ), \(\frac{1}{2}\) (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus

midpoint = [ \(\frac{1}{2}\) (- 3 + 1 ), \(\frac{1}{2}\) (5 + 7) ] = (- 1, 6 )

Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

Answer:

The Everton College store bought 20 Scientific and 32 Graphing Calculators.

Step-by-step explanation:

Let S and G stand for the numbers of Scientific and Graphing calculators, respectively.

We know the total of S+G = 52  [an order of 52 calculators.]

S+G=52    

We can calculate the total cost by summing the costs for both calculator types:

Scientific = 11S

Graphing = 57G

$2044 = 11S+57G  [store paid $2044 for an order of 52 calculators]

11S+57G=2044     [Reorganize]

Now take either equation and isolate one of the variables.   Let's choose the first equation and isolate the S:

S=52-G

Now use this expression for S in the second equation (substitute):

11S+57G=2044

11(52-G)+57G=2044

572-11G+57G=2044    [Expand and combine like terms]

46G = 1472  

G = 32                       [32 Graphing calculators were bought by the store]

Now find S using the first equation:

S+G=52

S+32 =52

S=20                         [20 Scientific calculators were bought]

====

Check:

1)  Do 32 and 20 equal a total of 52 calculators?  YES

2)  Do these numbers of calculators add up to a total cost of $2044?

  S:  $11*(20)=$220, and

  G: $57*(32) =   $1824

Total = $2044  YES

----

The Everton College store bought 20 Scientific and 32 Graphing Calculators.

Answer: 6

Step-by-step explanation: 288

=

3

(

4

)

×

w

×

4

w

=

288

3

(

4

)

⋅

4

=

72

12

=

6

I think <3

Answer:

The width is  

6  cm. You can find it by taking the formula for the volume of a cube and rearranging it to find the width.

Step-by-step explanation:

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Let's represent the number of adult tickets sold as "x" and the number of child tickets sold as "y".

We know that a single adult ticket costs $8, so the total revenue from adult ticket sales would be 8x. Similarly, a single child ticket costs $5, so the total revenue from child ticket sales would be 5y.

The total number of tickets sold was 245, so we can write an equation:

x + y = 245

We also know that the total revenue was $1768:

8x + 5y = 1768

We can use the first equation to solve for one of the variables in terms of the other:

y = 245 - x

Substitute this into the second equation:

8x + 5(245 - x) = 1768

Simplify and solve for x:

8x + 1225 - 5x = 1768

3x = 543

x = 181

So 181 adult tickets were sold. We can use the first equation to find the number of child tickets:

181 + y = 245

y = 64

So 64 child tickets were sold.