You start driving east for 18 miles, turn right, and drive south for
another 5 miles. At the end of driving, what is your straight line
distance from your starting point? Round to the nearest tenth of a
mile.

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]

Answer:

A) P(chooses a blue pencil and then a red pencil) = 5/27

B) P(chooses yellow then blue) = 5/81

Step-by-step explanation:

She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack

Thus;

total number of pencils = 3 + 5 + 1 = 9 pencils

A) probability that she chooses a blue pencil and then a red pencil;

P(blue) = 5/9

Now she puts it bag after choosing which means the sum is back to 8 pencils.

Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3

Thus;

P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3

P(chooses a blue pencil and then a red pencil) = 5/27

B) probability that Chloe chooses the yellow pencil and then a blue pencil;

Similar to A above;

P(yellow) = 1/9

P(blue) = 5/9

P(chooses yellow then blue) = 1/9 × 5/9

P(chooses yellow then blue) = 5/81

Answer:

-7

Step-by-step explanation:

2(x+4)-3(x+4)-3=0

2x+8-3x-12-3=0

-x+8-15=0

-x-7=0

 +7  +7

-x=7

/-1  /-1

x=-7

--

hope it helps

Answer:

B and D buster

Step-by-step explanation:

Answer:

sin is only positive in 1st and 2nd quadrants

Step-by-step explanation:

As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.

Remember that sine is y while cosine is x.

Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.

Q1 and Q2 both are positive while Q3 and Q4 are negative.

Answer:

1/2 because a coin is a 50/50 % chance of both sides

Answer:

1/12

Step-by-step explanation:

It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.

Answer: A) (2x+1)(2x−1)

How to: Since both terms are perfect squares, factor using the difference of squares formula,

Have a great day and stay safe !

Answer:

longest side =33

medium side =19

shortest side = 12

Step-by-step explanation:

Let medium side be x

then longest side =14 +x

shortest side = x-7

we know that ,

perimeter =sum of all side

or, 64 = 14+ x + x + x -7

or, 64 - 7 = 3x

or, 57 = 3x

or, 57÷3 = x

or, x = 19

then

medium side =x = 19

longest side =x+14 =33

shortest side = x- 7 = 12 #

Answer:

D. 49

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = pi r^2).

so putting in your numbers given you get 7^2

which equals 49

Answer:

HK=66°

Step-by-step explanation:

Based on the diagram, we know the two sides of the arcs are equal.  So we set up an equation that solves for x, then plug it back into one of the sides, and double it.

x+20=6x-45

65=5x

x=13

x+20=33

33x2=66

Answer:

m = 0

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

just took it!

Answer:

i believe its dependent

Step-by-step explanation:

Step-by-step explanation:

The answer is D 90

Answer:

Answer:

I think it's six

Step-by-step explanation:

A= 1

b= 2

c= 3

Answer:

1/365

Step-by-step explanation:

The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365

Answer:

Person A can be born on any day of the year since they’re the first person we’re asking. The probability of being born any day of the year is 1 or more specifically: 365/365.

Since Person B must be born on the same day as Person A their probability is 1/365.

We want both of these events to happen so multiply the probabilities:

So you have a 0.27% chance of walking up to a stranger and discovering that their birthday is the same day as yours.

I think you are happy with this answer

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

To know more about standard error here

https://brainly.com/question/13179711

#SPJ2

Answer:

Step-by-step explanation:

Stephanie,  so many people ask questions about this type of problem,  I think the teachers don't know how to explain these at all.  Ask your teacher if I can have some of their salary :)  I have to explain this to that many people..  :0

given"

point P1 (-4,-2)  in the form (x1,y1)

point P2(3,1)  in the form (x2,y2)

slope = m

formula for slope is:

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

m = (1-(-2) ) / (3 - (-4))

m = (1+2) / (3+4)

m = 3 /7

That's your slope,  ask if you need more explanation,  I'm really curious about why this type of problem causes so many questions  :/

Answer:

12 inches

Step-by-step explanation:

Find the square root

144² ÷ 2 = 12

Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

4242

2 = 200 ( 2 is in hundred's place )

4242

2 = 2 ( one's place )

Difference = ?

[tex] = 200 - 2 \\ = 198[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

8.333333333 or 25 /3​

Step-by-step explanation:

Answer:

i took this test along time ago 3,1,1

Answer:

.

Step-by-step explanation:

Answer:2

0

+

1

0

Step-by-step explanation:

Answer:

question 1: 10 + 20f

question 2: 164,340

Step-by-step explanation:

question 1:

10(1 + 2f)

(10 x 1) + (10 x 2f)

10 + 20f

question 2:

120n + 160,500 n =32

120(32) + 160,500

3,840 + 160,500

164,340

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

See more about equation at  brainly.com/question/2263981

Answer:

Step-by-step explanation:

6^2 + 10^2 = c^2

36+100 = c^2

136 = c^2

square root both sides

c = square root 136

Answer:

7,3921

Step-by-step explanation: