Can someone help me

Step-by-step explanation:

4.

\( = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{a - b}{a + b} \)

\( = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{(a - b)(a - b)}{ {a}^{2} - {b}^{2} } \)

\( = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{ {a}^{2} - 2ab + {b}^{2} }{ {a}^{2} - {b}^{2} } \)

\( = \frac{5ab - ( {a}^{2} - 2ab + {b}^{2} ) }{ {a}^{2} - {b}^{2} } \)

\( = \frac{5ab - {a}^{2} + 2ab - {b}^{2} }{ {a}^{2} - {b}^{2} } \)

\( = \frac{7ab - {a}^{2} - {b}^{2} }{ {a}^{2} - {b}^{2} } \)

\( \: \)

5.

\( = \frac{5}{n + 5} + \frac{4n}{2n + 6} \)

\( = \frac{5}{n + 5} + \frac{4n}{2(n + 3)} \)

\( = \frac{5}{n + 5} + \frac{2n}{n + 3} \)

\( = \frac{5(n + 3) + 2(n + 5)}{ {n}^{2} + 8n + 15 } \)

\( = \frac{5n + 15 + 2n + 10}{ {n}^{2} + 8n + 15} \)

\( = \frac{7n + 25}{ {n}^{2} + 8n + 15} \)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve these problems ~

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ {a}^{2} - {b}^{2} } - \dfrac{a - b}{a + b} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ (a + b)(a - b) } - \dfrac{a - b}{a + b} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b)(a - b)}{ (a + b)(a - b) } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b) {}^{2} }{ {a}^{2} - b {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a {}^{2} - 2ab + {b}^{2} ) {}^{} }{ {a}^{2} - b {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5ab - a {}^{2} + 2ab - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{7ab - a {}^{2} - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5}{n + 5} + \dfrac{4n}{2n + 6} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5(2n + 6) + 4n(n + 5)}{(2n + 6)(n + 5)} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{10n +30 + 4n {}^{2} + 20n}{2n {}^{2} + 10n + 6n +30} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{4n {}^{2} + 30n + 30}{2n {}^{2} + 16n + 30} \)

[ taking 2 common out ]

\({ \qquad \sf  \dashrightarrow \: \dfrac{2n {}^{2} + 15n + 15}{n {}^{2} + 8n + 15}} \)

According to the question The rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

Let's denote the distance between the police car and the red car as \($d$\), and let \($t$\) represent time. We are given that the distance between the two cars is decreasing at a rate of 75 feet per second, so we can express this

as \($\frac{dd}{dt} = -75$\) ft/s.

Using the Pythagorean theorem, we can relate the distances \($d$, $x$\), and \($y$\), where \($x$\) is the distance traveled by the red car along the highway and \($y$\) is the distance traveled by the red car along the small road. We have \($x^2 + y^2 = d^2$\).

Differentiating both sides of the equation with respect to time \($t$\), we get \($2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2d\frac{dd}{dt}$\).

Since the police car is located 60 feet on the small road perpendicular to the highway, we have \($x = t$\) and \($y = 60$\) . Substituting these values and the given rate of change of \($d$\) , we can solve for  \($\frac{dx}{dt}$\) :

\($2t\frac{dx}{dt} + 2(60)\frac{dy}{dt} = 2(90)(-75)$\)

\($2t\frac{dx}{dt} = -2(90)(-75) - 2(60)\frac{dy}{dt}$\)

\($2t\frac{dx}{dt} = 2(90)(75) - 2(60)(0)$\)

\($2t\frac{dx}{dt} = 2(90)(75)$\)

\($t\frac{dx}{dt} = (90)(75)$\)

\($\frac{dx}{dt} = \frac{(90)(75)}{t}$\)

Therefore, the rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

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The answer for this question would be 7

Answer:

18 dollars

Step-by-step explanation:

15-6=9

9x2 (double it because she spent half)18

Answer:

Yes that is the correct answer

Step-by-step explanation:

Sample of test statistic is 2.080 and p-value is 0.082.

From the given information,

α = 0.01;

H₀ : μ = 0

H₁ : μ ≠ 0.

Student's t,

d.f. = 6

d = 0.371

t = 2.08

0.050 < p-value < 0.100

on t graph, shade area to the left of -2.08 and to the right of 2.08.

From TI-84, p-value = 0.0823.

P-value interval > 0.01 for α; fail to reject H₀.

At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

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Answer:

∠ABD = 32

Step-by-step explanation:

Since ∠ABC is the total angle, subtract ∠DBC from ∠ABC to get ∠ABD.

145 - 113 = 32

Answer:

81.6 meters

3 x 2.8 meters is 8.4 this is the amount that was removed so then you would subtract 8.4 from 90 to get the answer of 81.6 meters

\(f(x) = \frac{10}{9}x + 11 \\ \)

So :

\(y = \frac{10}{9}x + 11 \\ \)

Subtract the sides of the equation minus 11

\(y - 11 = \frac{10}{9}x \\ \)

Multiply the sides of the equation by 9

\(9(y - 11) = 10x\)

\(9y - 99 = 10x\)

Divided the sides of the equation by 10

\( \frac{9y - 99}{10} = x \\ \)

So :

\( {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ \)

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Answer:

(1,0) and (-3,0)

Step-by-step explanation:

the red triangle is the building

the black triangle is the house

x is the height of the building

we have a problem of Tales triangles semblants so we can use this equalities

the height of the building is 110.5 feet

Answer:

A = -4

B = 5

C = -3

Step-by-step explanation:

Standard form of a quadratic equation is y = Ax² + Bx + C

In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.

Since -4 is the coefficient to x², A is -4.

Since 5 is the coefficient to x, B is 5.

Lastly, since -3 is the last term, C is -3.

So, the answer is:

A = -4

B = 5

C = -3

Answer:

A=63.585 cm²

Step-by-step explanation:

Note : It is not given what to find so i am finding are of the circle.

D=9cm

r=D/2

r=9/2

r=4.5

Area of the circle :

A=πr²

A=π4.5²

A=63.585 cm²

Answer: the first equation would start at -10 on a graph, and go up 3 over 1. For the second equation it would still start at -10, but go up 30 over 1. The slope of equation 1 -s 3, the slope of equation 2 is 30. That is how they are different.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

third side = 11

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

third² + 60² = 61²

third² + 3600 = 3721 ( subtract 3600 from both sides )

third² = 121 ( take the square root of both sides )

third = \(\sqrt{121}\) = 11

The third side is 11 units

Answer: 62

Step-by-step explanation:

Since the triangle adds to 180

Subtract the 2 angles from 180

put in your calculator 180-70-48=

x=62

Answer:

2 3/4 hours

Step-by-step explanation:

Since there are 7 days in a week and she doesn't work 2 of them so 7-2=5 days that she works. Then to find out how much she time she spends traveling multiply the time by the days, 1/4x5/1)+(1/2x5/1)=5/4+5/2=1 1/4+1 1/2=2 3/4

\(~~~~~~\text{Circumference}~ = 2 \pi r\\\\\\\implies r = \dfrac{\text{Circumference }}{2\pi}\\\\\\\implies r = \dfrac{3}{2\pi} \\\\\\\text{Now,}\\\\\text{Area} = \pi r^2 \\\\~~~~~~~~=\pi \left( \dfrac{3}{2\pi} \right)^2\\\\\\~~~~~~~~=\pi \cdot \dfrac{9}{4\pi^2}\\\\\\~~~~~~~~=\dfrac{9}{4\pi}\\\\\\~~~~~~~~\approx0.72\)

The correct answer is

(a) manipulating two or more independent variables. 

A factorial plan could be a sort of test plan utilized in investigating to examine the impacts of two or more free factors on a subordinate variable.

In a factorial plan, analysts control each free variable over different levels to watch the one-of-a-kind impacts of each free variable and how they connected with each other to impact the subordinate variable.

For case, in a ponder examining the impacts of two autonomous factors (e.g., temperature and mugginess) on a subordinate variable (e.g., plant development), analysts may control the temperature at three distinctive levels (moo, medium, and tall) and mugginess at two diverse levels (moo and tall) to watch how these components influence plant development individually and in combination. 

Therefore, the correct answer is (a) manipulating two or more independent variables. 

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Answer:

Step-by-step explanation:

We can describe it as a linear function with points of:

Slope intercept formula:

Finding the slope using the two given points:

Finding b:

Formula obtained:

For x = 20, value of y is:

Answer:

37.5

Step-by-step explanation:

he bought stock at 25$ per share if it increases by 1.5 you multiply it by that.

25 x 1.5 = 37.5 per share

Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

Answer: 120 ft

Step-by-step explanation:

1 yard = 3 feet

40 yards = 120 feet

40*3=120

Answer:(that was a joke)

1.) acute

2.) right

3.) obtuse

4.) acute

5.) obtuse

6.) right

Step-by-step explanation:

if hes doing advanced stuff like isosceles equilateral and that then im sorry for the answer.

The expression after the distributive operation is 4 + 36x.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Distributive property of multiplication over addition states that,

a( b + c) = ab + ac

Now,

4 (1 + 9x)

= 4 x 1 + 4 x 9x

= 4 + 36x

Thus,

4 + 36x is the expression.

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Aaron Rodgers salary is 2.19×\(10^1^1\) greater than his backups.

To find how many times a quantity x is greater than y we do subtraction. That is we do \(x-y\).

So, here Aaron's salary is given to be $ 2.2× \(10^1^0\)

And his quarterback's salary is $ 6.3×\(10^5\).

Thus the difference between salaries= 2.2×\(10^1^0\) - 6.3 × \(10^5\)

                                                            = 2.19×\(10^1^1\)

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Answer:

a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

Step-by-step explanation:

Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x  (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y  (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

P(x, y, z) =

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

The explanation to the answers is now given as follows:

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)

q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)

r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)

C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z

P(x, y, z) = profit function

x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively

Therefore, we have:

TR = Total revenue = px + qy + rz …………………………….. (1)

Substituting the relevant values into equation (1), we have:

TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z

TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2

Also,

P(x, y, z) = TR – C ……………………………………… (2)

Substituting the relevant values into equation (2), we have:

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z

P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)

Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:

In America

From equation (3), we have:

Px = 24 – 0.4x = 0

Therefore, we have:

24 – 0.4x = 0

24 = 0.4x

x = 24 / 0.4

x = 60

In Europe

From equation (3), we have:

Py = 12 – 0.2y = 0

Therefore, we have:

12 – 0.2y = 0

12 = 0.2y

y = 12 / 0.2

y = 60

In Asia

From equation (3), we have:

Pz = 16 - 0.2z = 0

Therefore, we have:

16 - 0.2z = 0

16 = 0.2z

z = 16 / 0.2

z = 80

Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

The statement is False

First understood what is correlation  & what is regression ?

Correlation :When measuring the relationship between two continuous variables, such as a dependent and independent variable or between two independent variables, correlation analysis is used.

Regression :Assessing the link between the outcome variable and one or more factors is referred to as regression analysis. Risk factors and co-founders are referred to as predictors or independent variables, whilst the result variable is known as the dependent or response variable. In a regression analysis, the dependent variable is represented by "y" and the independent variables are represented by "x."

Regression and correlation have some distinct differences.

The quantity and strength of the relationship between two variables is displayed through correlation. The data points are not connected by a fixed line. To determine how much one variable changes when the other stays constant, you compute a correlation. When r is zero, there is no relationship. One variable increases as the other does when r is positive. One variable rises while the other falls when r is negative.

While correlation does not match a line, linear regression identifies the optimal line that can predict y from x.

When measuring both variables, correlation is employed, whereas linear regression is typically used when manipulating the variable x.

Why the given statement is false ?

The statement is  False because correlation does not imply causation. This means if X and Y are correlated we cannot conclude if X is response or explanatory or Y is response or explanatory...hence no clearly identification of which is explanatory or response is needed

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Answer:

No mode.

Step-by-step explanation:

No mode.

None of the numbers repeat and since the mode is the most frequent number there isn't one.

Answer:

There is no mode

Step-by-step explanation:

Because none of the digits are duplicated.