17. Carlisle is a distance of 135miles away from Airdrie. If I travelled at a constant speed of 45mph. How long would it take me to get there?​

Answer:

C

Step-by-step explanation:

I just plugged it in and checked tbh

The point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

The standard form of the equation of a line is given as:

ax + by + c = 0.

Here a, and b, are the coefficients, x, and y are the variables, and c is the constant term.

We have,

Equation of a line:

3y = 2x - 1

We need to check which point lies on the line.

A = ( 2, 6 )

3 x 6 = 2 x 2 - 1

18 = 4 - 1

18 ≠ 3

B = ( 1, 2 )

3 x 2 = 2 x 1 - 1

6 = 2 - 1

6 ≠ 1

C = ( 2, 1 )

3 x 1 = 2 x 2 - 1

3 = 4 - 1

3 = 3

D = ( -2, 1 )

3 x 1 = 2 x (-2) - 1

3 = -4 - 1

3 ≠ -5

E = ( 2, -6 )

3 x (-6) = 2 x 2 - 1

-18 = 4 - 1

-18 ≠ 3

Thus the point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

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Answer:

The fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

The percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Step-by-step explanation:

From the question, the stylist cut 0.36 inch off Jenny's hair.

To determine what fraction is equivalent to the amount of Jenny's hair the stylist cut off, we will express 0.36 inch as a fraction.

[tex]0.36 = \frac{36}{100}[/tex]

Then, we will reduce [tex]\frac{36}{100}[/tex] to a fraction in its lowest term

[tex]\frac{36}{100} = \frac{9}{25}[/tex]

Hence, the fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

For the percentage equivalent to the amount of Jenny's hair the stylist cut off, we will express [tex]\frac{9}{25}[/tex] as a percentage. That is

[tex]\frac{9}{25} \times 100[/tex]%

= 36%

Hence, the percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Answer:

FV= PV*(1+i)^t

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Interest rate (i)= 3.2% = 0.032

Number of periods= t

To calculate the future value (FV) of the investment, we need to use the following formula:

FV= PV*(1+i)^t

For example, Susan invests for 4 years:

FV= 2,000*(1.032^4)

FV= $2,268.55

The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

Since

Susan won $2000 and invested it into an account with an annual interest rate of 3.2%.

Here Number of periods= t

Therefore we can conclude that The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

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Answer:

linear is when the graph shows a straight line

Answer:

linear is when the graph shows a straight line

Step-by-step explanation:

answer=0.58

Step-by-step explanation:

24/7= 3.42 ,so you subtract this from 4 to get 0.58

why don't you want an explanation, thats how you learn.

Answer:

It appears the slope is 1, 4 & the y-intercept is 0, 5.

Step-by-step explanation:

Per your request, no explanations required.

Good luck!!

Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

I may be wrong been for ever since I did it on paper

Answer:

arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l

hope it helps

Answer:

Step-by-step explanation:

Rate of change for function A is:

Rate of change of function B is:

Comparing the values:

Function A has a greater rate of change

Answer:

Answer:

5; -4.5; Function A

Step-by-step explanation:

Rate of change for function A is:

(15 - 10)/(5.5 - 4.5) = 5/1 = 5

Rate of change of function B is:

-4.5 as the slope is the rate of change

Comparing the values:

5 > - 4.5

Function A has a greater rate of change

The opposite of smth on a number line.

Answer:

Absolute value is the distance of a number from zero

Step-by-step explanation:

for example 5 is 5 from zero -1000 is 1000 from zero absolute value will always be positive

Answer:

14.7

Step-by-step explanation:

Answer:

a= −b/x

Step-by-step explanation:

Let's solve for a.

ax2+bx=0

Step 1: Add -bx to both sides.

ax2+bx+−bx=0+−bx

ax2=−bx

Step 2: Divide both sides by x^2.

ax2x2=−bxx2

a=−bx

Answer:

Step-by-step explanation:

perfect sqaure formula (u+w)²=u²+2uw+w²

ax²+bx+c=0  divide by a

[tex]x^{2} +\frac{bx}{a} + \frac{c}{a} =0[/tex]  so u=1, 2uw=2*1*w= b/a, so w=b/2a

[tex](x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0[/tex] now that we formed the perfect sqare solve

[tex](x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0[/tex] but we can factor a negative in front of the fraction

[tex](x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0[/tex] now isolate the 2 terms and squareroot both sides

[tex]\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }[/tex] and you will be left with

[tex]x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }[/tex]  subtract b/2a from both sides

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

Answer:

-4, 5, 14, 23, 32

Step-by-step explanation:

Funny, I learning this right now. What??? You expected an explanation? Nope.

Answer:

y values going left to right : -4, 5, 14, 23, 32

Step-by-step explanation:

I graphed it. i'll give you the link to desmos. It'll help you

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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Answer: 76

Step-by-step explanation: 29 + 47

Answer:

hello your question is incomplete attached below is the missing part of the  question

answer : r = - 0.161 ( iii )

Step-by-step explanation:

The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161  and this is because the data points are showing a less negative correlation

Answer:

11 - (-3 5/8)

= 11 + 3 5/8 ( 2 negative signs become positive)

answer is B.11 + 3 5/8

Step-by-step explanation:

Answer:

The answer is 11 + 3 5/8

Step-by-step explanation:

I did it on khan

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

Answer:

1, 2, 5, 12, 13

Step-by-step explanation:

∠1 = 90 is given, which is a right angle

∠3 = 90 as well because ∠1 and ∠3 are vertically opposite

∠3 = ∠8, because ∠1 and ∠8 are same side exterior angles, which are the same

Therefore ∠3 must be congruent to ∠8  

Given :

The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C.

To Find :

The final temperature on Sunday.

Solution :

Temperature on Saturday = initial temperature + 4⁰C

= 32⁰C + 4⁰C

= 36⁰C.

Temperature on Sunday = temperature on Saturday - 7⁰C

= 36⁰C - 7⁰C

= 29⁰C

Therefore, final temperature on Sunday is 29⁰C.

Hence, this is the required solution.

Answer:

Step-by-step explanation:

16 = - 4y - 12

Bringing like terms on one side

16 + 12 = - 4y

28 = - 4y

28/-4 = y

-7 = y

Answer:

y=$25x+30

Step-by-step explanation:

This is the correct answer. The reason is that the equation is y=mx + b. b is like y-intercept, and that answer would be $30. $25x is correct because the question says per month, and when you see that it means ¨x¨.

Answer:

43

Step-by-step explanation:

divide 85 then add 1