Harold collected data on the daily high temperature in two cities over a period of one week.
He analyzed the data and found the measures below. Which statement is true, based on
these measures?
City Median Temperature Range from Median
Carlton
75°F
5 degrees
Borden
88°F
5 degrees
The daily low temperatures for the two cities were 70°F and 83°F.
Borden had at least one daily high temperature of 98°F.
The temperature in Carlton was always cooler than in Borden.
The difference between the daily high temperature for the two cities was 13 degrees.

Answer:

46x + 23 = 46x +23

Step-by-step explanation:

46x - 23 = 46x + 23

Subtract 46x from each side

-23 = 23

This is not true so there are no solutions

-46x + 23 = 46x + 23

Add 46x to each side

23 = 96x +23

Subtract 23 from each side

0 = 96x

x=0   one solution

46x + 23 = 46x +23

Subtract 46x from each side

23 = 23

This is always true so there are infinite solutions

-46x - 23 = 46x + 23

add 46x to each side

-23 = 96x +23

subtract 23 from each side

-46 = 96x

x = -1/2

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.

An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever

y = f(x) then x = g(y).

We have:

a(n) = 3n - 15

Rewrite the above equation as

a = 3n - 15

Add 15 to both sides of the equation

3n = 15 + a

Divide through by 3, we get

n = 5 + a/3

Express as function then, we get

n(a) = 5 + a/3

Hence, the inverse function is n(a) = 5 + a/3.

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Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Answer:

34.35 liters

Step-by-step explanation:

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

Answer:

The answer is x ^5

Answer:

C) 144 in3

Step-by-step explanation:

Area of rectangular prism = lwh

8*9*2 = 144

Answer:

-7 < x

Name 2 values

0 and 10

Any number greater than -7 will work

Step-by-step explanation:

-4 < 2(x + 5)

Divide each side by 2

-4/2 < 2/2(x + 5)

-2 < (x + 5)

Subtract 5 from each side

-2-5 < x+5-5

-7 < x

Name 2 values

0 and 10

Any number greater than -7 will work

Answer:

[tex] - 7 < x[/tex]

Step-by-step explanation:

[tex] - 4 < 2(x + 5) \\ - 4 <2 x + 10 \\ - 4 - 10 < 2x \\ - 14 < 2x \\ \frac{ - 14}{2} < \frac{2x}{2} \\ - 7 < x[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Option C. $6,012

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to

[tex]V=P(1-r)^{t}[/tex]

where  

V is the the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal

t is Number of Time Periods  

in this problem we have  

t = 7 years

P = $8,000

r = 0.04

substitute in the formula above

[tex]V = 8,000(1-0.04)^{7} = 6,012[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

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Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

I just took the test

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

Answer:

c.) reflect across line y = -x

Step-by-step explanation:

edge 2021

The transformation that is applied to the shape illustrated is C. reflect across line y = -x.

It should be noted that transformation simply means a process that's used to manipulate a polygon or an object on a coordinate system.

In this case, the transformation that is applied to the shape illustrated is C. reflect across line y = -x.

In conclusion, the correct option is C.

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Answer:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Step-by-step explanation:

Answer:

This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.

Step-by-step explanation:

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Answer:

Option B is correct.

It represents exactly the expectation.

Hope this helps!

:)

Answer:

The answer is B

STEP BY STEP EXPLANATION BOIZ:

if its an odd number four times the result   = 4 x (1 + 3 + 5)

If result is even you must pay five times the result = 5(2 + 4 + 6)

So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer

Hope dis helped :3  o(*￣▽￣*)ブ

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

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The value of the matrix -k in the expression is [tex]\left[\begin{array}{ccc}2&-9&8\\-7&-11&-6\\-4&-4&3\end{array}\right][/tex]

The matrix is given as:

[tex]k = \left[\begin{array}{ccc}-2&9&-8\\7&11&6\\4&4&-3\end{array}\right][/tex]

Multiply both sides by -1

[tex]-1 * k = -1 * \left[\begin{array}{ccc}-2&9&-8\\7&11&6\\4&4&-3\end{array}\right][/tex]

Evaluate the right hand side

[tex]-1 * k = \left[\begin{array}{ccc}2&-9&8\\-7&-11&-6\\-4&-4&3\end{array}\right][/tex]

Evaluate the left hand side

[tex]-k = \left[\begin{array}{ccc}2&-9&8\\-7&-11&-6\\-4&-4&3\end{array}\right][/tex]

Hence, the value of -k in the expression is [tex]\left[\begin{array}{ccc}2&-9&8\\-7&-11&-6\\-4&-4&3\end{array}\right][/tex]

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Answer:

kg/ m³

Step-by-step explanation:

Since density is= [tex] \frac{mass}{volume} [/tex], where mass is in kg and volume is in cm³, the unit of density would follow so it is kg/m³.