Given the diagram angles 1 and 5 are an example of what?

By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

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Step-by-step explanation:

Find slope

m = (y2 - y1)/(x2 - x1)

m = (-9 - 5)/(4 - 8)

m = -14/-4

m = 7/2

Slope → 7/2

Answer:

The equation of a line is written in the form y=mx+b. “m” is the slope and “b” is the y-intercept. With the given slope, the equation so far is y=-4x+b. To find the value of b, substitute the given point.

-12=-4(10)+b

-12=-40+b

28=b

So, the equation of the line is y=-4x+28.

:)

Answer:

0.325 inches per hour

Step-by-step explanation:

0.65 ft/day must be converted to inches/hr.  One approach follows:

0.65 ft     1 day        12 hr

---------- * ----------- * ---------- = 0.325 in/hr

  day       24 hr        1 ft

The growth rate is 0.325 inches per hour

9514 1404 393

Answer:

  $2618

Step-by-step explanation:

The total tax due will be the sum of the amounts due in each bracket.

  2%×$3000 +3%×(5000 -3000) +5%×(17000 -5000) +5.75%×(50000 -17000)

  = 60 +60 +600 +1897.50 = $2617.50 ≈ $2618

The state income tax on $50,000 is $2618.

Answer:

64 notebooks

Step-by-step explanation:

We have 24 inches of space, we want to find how many 3/8 inches notebooks fit in that. I'm assuming 24 inches of space is the width.

Therefore:

24÷[tex]\frac{3}{8}[/tex]

or 24×[tex]\frac{8}{3}[/tex]

= 192/3

=64 notebooks

Answer:

5000

Step-by-step explanation:

1000 divided by 1 = 1000

1000 x 10 = 10000

10000 - 5000 = 5000

Answer:

fraction is 175/200

that is the fraction I don't know what anything else is

The points not included in the graph are A: (2.5,3), B: (2.0, 3), C: (3.0, 4) and D: (3.5, 5)

From the question, we have the following parameters that can be used in our computation:

Initial service charge = $2

Additional charges = $1 per hour

This means that the charges after x hours is

f(x) = Initial service charge + Additional charges * x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 2 + x

Using the given points, we have

f(2.5) = 2 + 2.5 = 4.25

f(2.0) = 2 + 2.0 = 4.0

f(3.0) = 2 + 3.0 = 5.0

f(3.5) = 2 + 3.5 = 5.5

This means that all of the points are not in the graph

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Answer:

Group A is correct.

Step-by-step explanation:

3 sets($3/set) = $9 - $2 coupon = $7

9 sets($3/set) = $27 - $2 coupon = $25

12 sets($3/set) = $36 - $2 coupon = $34

24 sets($3/set) = $72 - $2 coupon = $70

none of the other groups fit this pattern.

Answer:

45

Step-by-step explanation:

In an inverse variation situation, we have mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

So in this case: x*y is a constant

since x=9 and y=5 so

xy = 45

the constant of variation is 45

For inverse function, we usually write it as [tex]y = \dfrac{45}{x}[/tex]

The required solution of the value of the constant of variation is 45.

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.

Given:

for an Inverse variation, y=5 when x=9

According to given question we have

Relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

x×y  =constant

x×y  =k

Where k is a constant.

By put the value of

y=5 when x=9.

k= 9×5

k=45

Therefore, the required solution of the value of the constant of variation is 45.

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Answer:

6x - 3

Step-by-step explanation:

1/2 of (8x-6) = (8x-6)/2 = 8x/2 - 6/2 = 4x  - 3

then:

1/2 of (8x-6) + 2x = (4x-3) + 2x = 4x + 2x - 3

= 6x - 3

The polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

Given the roots of a polynomial such as 4, -3, 4i. The equivalent factors of the polynomial will be x-4, x+3 and x-4i

Taking the product of the factors

P(x) = (x-4)(x+3)(x-4i)

P(x) = (x^2+3x-4x-12)(x-4i)

P(x) = (x^2 - x - 12)(x-4i)

P(x) = x^3-4x^2i-x^2+4xi-12x+48i

P(x) = x^3 - (4i+1)x^2+4(i-3)x + 48i

Hence the polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

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Answer:

any negative number less than -8

x<-8

Step-by-step explanation:

|x|>8

we know x<0

so

-x>8

x<-8

The opposite of a positive number is a negative of the same number. The opposite of a negative is the positive of the same number:

0 is neither positive or negative so the opposite of 0 would be 0

0.005 = -0.005

1/2 = -1/2

0 = 0

-2 = 2

Answer:

It would equal 6 hours

Step-by-step explanation: you would have to divide 150 and 2 1/2 and get 60 then dovide by 360 and you will get 6 as in 6 hours

Answer:

n = -31.5

Step-by-step explanation:

let 'n' = the number

n/-1.5 = 21

to solve for 'n', multiply each side by -1.5 to get:

n = -31.5

Answer:

Step-by-step explanation:

lets place the value x=6 in  2x-3

2 × 6 -3

12 - 3

= 9

Answer:

the first sequence is correct.

Step-by-step explanation:

if you rotate it 90degrees and would match up.

Answer:

y = -3x + 5

Step-by-step explanation:

yeah-ya ...... right?

Answer:

Toral weight is 46 kilograms

Answer:

Step-by-step explanation:

The transversal is cutting both a and b lines.

In order to a and b be parallel, we should have corresponding angles be of same measure. The angles marked as right angle and the angle marked as (4x - 18) are corresponding angles.

This is:

Answer:

i think it would be 3/5 chance of a colorblind kid with dark hair

Step-by-step explanation:

brainliest please

Hello there.

First, assume the numbers [tex]x,~y[/tex] such that they satisties both affirmations:

With these informations, we can set the following equations:

[tex]\begin{center}\align x^2+y^2=8\\ x\cdot y=4\\\end{center}[/tex]

Multiply both sides of the second equation by a factor of [tex]2[/tex]:

[tex]2\cdot x\cdot y = 2\cdot 4\\\\\\ 2xy=8~~~~~(2)^{\ast}[/tex]

Make [tex](1)-(2)^{\ast}[/tex]

[tex]x^2+y^2-2xy=8-8\\\\\\ x^2-2xy+y^2=0[/tex]

We can rewrite the expression on the left hand side using the binomial expansion in reverse: [tex](a-b)^2=a^2-2ab+b^2[/tex], such that:

[tex](x-y)^2=0[/tex]

The square of a number is equal to [tex]0[/tex] if and only if such number is equal to [tex]0[/tex], thus:

[tex]x-y=0\\\\\\ x=y~~~~~~(3)[/tex]

Substituting that information from [tex](3)[/tex] in [tex](2)[/tex], we get:

[tex]x\cdot x = 4\\\\\\ x^2=4[/tex]

Calculate the square root on both sides of the equation:

[tex]\sqrt{x^2}=\sqrt{4}\\\\\\ |x|=2\\\\\\ x=\pm~2[/tex]

Once again with the information in [tex](3)[/tex], we have that:

[tex]y=\pm~2[/tex]

The set of solutions of that satisfies both affirmations is:

[tex]S=\{(x,~y)\in\mathbb{R}^2~|~(x,~y)=(-2,\,-2),~(2,~2)\}[/tex]

This is the set we were looking for.

Answer:

it's 3

Step-by-step explanation:

The slope is rise/run, so up 3, over 1.

Answer:

9000 grams

Step-by-step explanation:

1 kilogram = 1000grams

9 kilograms = 9000 grams

Answer: d) 19.8 pounds

Step-by-step explanation:  (1000)(9 kilograms) = 9000 grams. And yes 9 kilograms does equal to 9000 grams but that isn't the correct answer. Also kilograms isn't equal to b) 9000 ounces, and c) 19.8 ounces even though ounces are apart of the household measurement system because 9 kilograms is equal to 317.466 ounces. (35.274)(9 kilograms) = 317.466 ounces. So the obviously only correct answer is d) 19.8 pounds because 9 kilograms is equal to 19.8 pounds. (2.205)(9 kilograms) = 19.8416 pounds.

Answer:

The diameter is 2 times the radius.

D=2r

Substitute 20 as the diameter and solve for r.

20=2r

Divide both sides by 2.

10=r

So, the radius is 10 centimeters.

:)

Answer:

D. 29.75

Step-by-step explanation:

To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.

Here,

21 + 23 + 35 + 40

= 119

You added 4 numbers (21, 23, 35, 40),

so, 119 / 4

= 29.75

Hope this helps and a thank won't hurt! :)

Answer:

-7/8a-1/6

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

po dahil 66 ang 0 to 10 or c