Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

[tex]H_0 : \sigma = 10[/tex]

[tex]H_1 : \sigma \neq 10[/tex]

The test statistics can be computed as follows:

[tex]X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}[/tex]

[tex]X^2 = \dfrac{(36 -1)10.1^2 }{10^2}[/tex]

[tex]X^2 = \dfrac{(35)102.01 }{100}[/tex]

[tex]X^2 = \dfrac{3570.35 }{100}[/tex]

[tex]X^2 =35.704[/tex]

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

Answer:

(no solutions exist)

Step-by-step explanation:

Answer:

29.82

Step-by-step explanation:

First you have to do 127.8 divided by 60 to get how many miles he bikes a day, which is 2.13 Next, you multiply 2.13 by 2 weeks 2 weeks = 14 days So from then you do 2.13 x 14 which is 29.82 Chris bikes 29.82 miles in two weeks.

(i answered this question once and i used it from a friend but hope this helps)

Greetings from Brasil...

We will pass the - 2 to the 1st member

2 + [1/(X + 7)] = 15/(5(X + 7))

simplifying the numerator and denominator of the 2nd member

2 + [1/(X + 7)] = 3/(X + 7)

solving the sum of the 1st member

(2X + 15)/(X + 7) = 3/(X + 7)

product of the means by extremes

(2X + 15) · (X + 7) = 3 · (X + 7)

2X² + 15X + 14X + 105 = 3X + 21

2X² + 29X - 3X + 105 - 21 = 0

solving this 2nd degree equation

Δ = b² - 4.a.c

Δ = 26² -  4 . 2 . 84

Δ = 676 - 4. 2 . 84

Δ = 4

X' = (-26 + √4)/2.2     X'' = (-26 - √4)/2.2

X' = -24 / 4     X'' = -28 / 4

Answer:

640

Step-by-step explanation:

we turn the 80% into decimal so:

80÷100= 0.8

Then we multiply to find the discounted amount:

800×0.8= 640

Answer:

The answer is [tex](\frac{5}{2} , \frac{3}{2} )[/tex]

Step-by-step explanation:

(3,-1) (2,4)

Plug into the midpoint formula:

[tex](\frac{x_{2}_+x_{1}}{2}} ,(\frac{y_{2}_+y_{1}}{2}})[/tex]

[tex](\frac{2+3}{2}}), (\frac{4-1}{2}})[/tex]

Solve:

[tex](\frac{5}{2}}), (\frac{3}{2}})[/tex]

Pls mark brainliest!

Hope this helps! :)

    [tex]x^2-5x+6=0[/tex]

    [tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3[/tex]

Answer:  [tex]x\in\{2\;;\;3\}[/tex]

[tex]\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 1}}{2}[/tex]

[tex]\sf\dfrac{5\pm1}{2}[/tex]

[tex]\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}[/tex]

[tex]\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}[/tex]

[tex]\sf x'=2~~~~~~~~~~~~~x''=3[/tex]

⠀⠀

Solutions = {2, 3}

⠀⠀

⠀⠀

I hope that helps !!

Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

divide through by the coefficient of [tex]x^{2}[/tex]

[tex]\frac{5x^{2} }{5}[/tex] + [tex]\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}[/tex]

[tex]x^{2} +\frac{16}{5}x -8 =\frac{8}{5}[/tex]

[tex]x^{2} +\frac{16}{5} x = \frac{8}{5} +8[/tex]

[tex]x^{2} + \frac{16}{5} x =\frac{48}{5}[/tex]

Add half of the square of the coefficient of x  to both sides [tex](\frac{1}{2} X \frac{16}{5} ) ^{2}[/tex]

[tex]x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =[/tex] [tex]\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}[/tex]

[tex]x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}[/tex]

[tex](x +\frac{16}{10})^{2} =\frac{304}{25}[/tex]

[tex]x +\frac{16}{10} =[/tex]±[tex]\sqrt{\frac{304}{25} }[/tex]

[tex]x = -\frac{16}{10}[/tex] ± [tex]\sqrt{\frac{304}{25} }[/tex]

[tex]x=-\frac{16}{10} + \sqrt{\frac{304}{25} }[/tex] or[tex]-\frac{16}{10} - \sqrt{\frac{304}{25} }[/tex]

[tex]x = 1.89[/tex] or -5.09

Answer:

Root 37

Step-by-step explanation:

All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.

Answer:

24.24, 24.304, 24.4, 24.54

Step-by-step explanation:

Answer:

A set of all positive integers between 7 and 43.

Step-by-step explanation:

If a triangle is given with the sides a, b, c, triangle is possible when,

a + b > c

a + c > b

b + c > a

Following the same rule in a triangle having side lengths 18, 25 and l unit.

18 + 25 > l    ⇒ l < 43

18 + l > 25    ⇒ l > 7

25 + l > 18    ⇒ l > -7

Therefore, length of the third side of the triangle will be,

7 < l < 43  (A set of positive integers between 7 and 43)

Step-by-step explanation:

[tex]3x + 5 = 26[/tex]

[tex]3x = 26 - 5[/tex]

[tex]3x = 21[/tex]

[tex]x = 7[/tex]

Hope it helps u

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The solution for the linear equation is x = 7.

To find the value of x in the equation 3x + 5 = 26, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation to isolate the term with x on one side.

3x + 5 - 5 = 26 - 5

3x = 21

Step 2: Divide both sides of the equation by 3 to solve for x.

(3x)/3 = 21/3

x = 7

Therefore, the value of x in the equation 3x + 5 = 26 is x = 7.

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Answer:

I thought it would be 24

Answer:

slope is -3/5

Step-by-step explanation:

3x + 5y = 15

5y = -3x + 15

y = -3/5x + 3

slope is -3/5

Answer:

q = 5/3

Step-by-step explanation:

-4q=2q-10

Subtract 2q from each side

-4q-2q=2q-2q-10

-6q = -10

Divide each side by -6

-6q/-6 = -10/-6

q = 5/3

Answer:

q = 3/5 or 0.6

Step-by-step explanation:

-4q = 2q - 10

0 = 6q - 10

6q = 10

q = 6/10

q = 3/5

Answer:

6x3−2x2−11x+4

Step-by-step explanation:

the numbers after the x are squared

Answer:

6

Step-by-step explanation:

This is calculated in order from left to right. This is same as: (36/2)/3

Note:

It would be calculated as below if the parenthesis was differently applied:

Answer:

6

Step-by-step explanation:

Answer:

y = 1.5x

Step-by-step explanation:

Cost of pineapples:

x pounds of pineapple will cost:

This function is represented as:

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]

And we want to find:

[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]

1)

Recall that:

[tex](f\circ g)(x)[/tex]

is the same as:

[tex]=f(g(x))[/tex]

Thus, we can substitute g(x):

[tex]=f(9-2x)[/tex]

And substitute that into f(x):

[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]

Distribute:

[tex]=72-16x-5[/tex]

Subtract and simplify:

[tex]=67-16x\\=-16x+67[/tex]

Thus:

[tex](f\circ g)(x)=-16x+67[/tex]

2)

Similarly:

[tex](g\circ f)(x)=g(f(x))[/tex]

Substitute f(x):

[tex]g(f(x))=g(8x-5)[/tex]

Substitute:

[tex]g(8x-5)=9-2(8x-5)[/tex]

Distribute:

[tex]=9-16x+10[/tex]

Simplify:

[tex]=-16x+19[/tex]

Therefore:

[tex](g\circ f)(x)=-16x+19[/tex]

Answer:

to find the x-intercept, set y to 0.

0 = 1/5x - 7

7 = 1/5x

35 = x

(35, 0)

to find the y-intercept, set x to 0.

y = 1/5(0) - 7

y = 0 - 7

y = -7

(0, -7)

Answer: C

Step-by-step explanation: the equation on the opposite side is the same

Answer:

to what?

Step-by-step explanation:

Answer:

r = 0

Step-by-step explanation:

Therefore, r = 0.

Check to see if it works:

Therefore, we know 0 is the right answer because as it says in the last step,

0 + 28 is indeed equal to 28, which the problem says is the answer.

Answer: [tex]x=0[/tex]

Flip the equation

[tex]4r+28=28[/tex]

Subtract 28 from both sides

[tex]4r+28-28=28-28\\4r=0[/tex]

Divide both sides by 4

[tex]4r/4=0/4\\x=0[/tex]

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

Answer:

The y-intercept is (0, 5).

Step-by-step explanation:

We find the equation of the line in slope-intercept form:

y - y1 = m(x - x1)

y - 13 = 2(x - 4)

y = 2x - 8 + 13

y = 2x + 5  -  This is slope-intercept form where the graph passes through the y-axis at y = 5.

Using scientific notation it is found that the diameter of a red blood cell in human blood is of:

[tex]7 \times 10^{-3}[/tex] mm.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the diameter is of 0.007 mm, hence:

[tex]0.007 = 0.07 \times 10^{-1} = 0.7 \times 10^{-2} = 7 \times 10^{-3}[/tex]

Hence in scientific notation, the diameter is:

[tex]7 \times 10^{-3}[/tex] mm.

More can be learned about scientific notation at https://brainly.com/question/16394306

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Answer:

2q

Step-by-step explanation:

The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.