The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3.

Answer:

The answer in percentages is 15%

The probability of having tails is 9/11

Data;

This is the possibility of an event occurring. In a sample space of 11 coin flips, tails came up 9 times and head came up 3 times

Number of time head came up = [tex]11-9 = 3[/tex]

The probability of having tails is calculated as

[tex]p = \frac{9}{11}[/tex]

The probability of having head is calculated as

[tex]p = \frac{3}{11}[/tex]

The probability of having tails is 9/11

Learn more on probability here;

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Answer:

5a + ab = 40

Step-by-step explanation:

Sub in 10 for a, making the equation 5 x 10 + 10 x b

Then sub in - 1 for b making it 5 x 10 + 10 x - 1

Then multiply making it 50 + - 10

Then subtract since adding negative is actually subtracting and you get 40

Hey there!

In order to evaluate this expression, all we should do is plug in the values of the variables and simplify.

We are given that

a=10

b=-1

Plug in the values:

5(10)+(10)(-1)

multiply 5 times 10 and 10 times (-1) and add the products:

50+(-10)

or... actually subtract.

50-10

40

Hence, the answer is

[tex]\boxed{\boxed{\bold{40}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

5/12

Step-by-step explanation:

1 (1,1) (1,2) (1,3) (1,4) (1,5)  -5

2 (2,1) (2,2) (2,3) (2,4)  -4

3 (3,1) (3,2) (3,3)  -3

4 (4,1) (4,2)  -2

5 (5,1) - 1

I took each row from the table and deleted the die rolls that added up to less than 7.

(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)

Then add the number of rolls. (5+4+3+2+1= 15)

Find the total number of possible rolls [(6)(6)=36]

Put them in fraction form, rolls that are less than 7/total number of rolls

You get 15/36

Reduce the fraction by adding the numerator and the denominator by 3.

Your final answer is 5/12.

Using the normal distribution, it is found that 15.87% of the students received a score below 64.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].

The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64 - 70}{6}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

Hence, 15.87% of the students received a score below 64.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

Olya would like to find a way to reduce her current debt.  The table below shows Olya’s monthly income, expenses and net income.

Olya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.

In the second option, she has to skip the montly payment of her school loan which is not possible.

Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she  can pay the credit card payment faster.

Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

Learn more about the monthly payment here;

https://brainly.com/question/2151013

Answer:

answer is B

Step-by-step explanation:

u (-1 ; 0)

t (-3 ; 0)

Answer:

10x+20y= 350

Step-by-step explanation:

Add the decimal. 3.50

Let's assume that all the coins are 10-cent coins.

The total value would be 10 x 40 = 400 cents = $4

So, it would be $2.5 less than the actual total value,

We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.

Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)

-> There are 25 20-cent coins and 15 10-cent coins

Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5

Answer:

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

Step-by-step explanation:

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

To change [tex]f(x - 2)[/tex] into [tex]f(x)[/tex], substitute [tex]x=x+2[/tex]:

[tex]\implies f((x+2)-2)=f(x+2-2)=f(x)[/tex]

Therefore, substitute [tex]x=x+2[/tex] into both sides of [tex]f(x-2)=2-x[/tex]:

[tex]\implies f((x+2)-2)=2-(x+2)[/tex]

[tex]\implies f(x)=-x[/tex]

Let's spot out.

Put x+2 in place of x

Answer:

the first one And the first one only

Step-by-step explanation:

supplementary angles are angles that add up to 180.

Hope this helps! :)

B) [tex]\sf y=\left|x-3\right|[/tex]

Here in option B,

y-intercept:

y = |x-3|

y = |0-3|

y = 3

x-intercept:

0 = |x-3|

x - 3 = 0

x = 3

Thus option B is correct.

Answer:

A

Step-by-step explanation:

40/100+ 3/10 AKA 30/100=70/100

subtract 70 from 100 and you get 30

so 30/100 donuts are cinnamon

hope that helps

Answer:  

11/15

Step-by-step explanation:

2/5+1/3

Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.

4 units left means change in x

So

Solve for domain

Option A

The domain of g is x ≥ -2, which is option B.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that,

the graph of g is a translation 2 units left of the graph of f(x) = x√x.

When f(x) is translated k units to the left, the new function will be f(x + k).

So the new function g is,

g(x) = (x + 2) √(x + 2)

In order for the function to be defined, the part inside the square root must be greater than or equal to 0.

x + 2 ≥ 0

x ≥ -2

Hence the domain is x ≥ -2.

Learn more about Translation here :

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Answer:

Option B

Step-by-step explanation:

Given the following question:

In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.

[tex]0.0007 - (4.9\times 10^{-7} )[/tex]
[tex]4.9\times10^{-7} =0.00000049[/tex]
[tex]0.0007-0.00000049[/tex]
[tex]0.0007-0.00000049=0.00069951[/tex]
[tex]=0.00069951[/tex]
[tex]0.00069951=6.9951 \times10^{-7}[/tex]
[tex]=6.9951 \times10^{-7}[/tex]

Your answer is "6.9951 × 10^-7" or option B.

Hope this helps.

Answer:

2.35619

Step-by-step explanation:

Answer:

2.35619

Step-by-step explanation:

Deg to Rad = ° x pi / 180

Answer:

y = -3x + 7.

Step-by-step explanation:

First find the slope of the given line by converting to intercept form:

3x + y + 2 = 0

y = -3x - 2

So the slope is -3.

Then the line we want has a slope of -3 also (as it is parallel).

y - y1 = m(x - x1)   where m is the slope and (x1, y1) is a point on the line:

m = -3,  x1 = 1 and y1 = 4, so we have:

y - 4 = -3(x - 1)

y = -3x + 3 + 4

y = -3x + 7.

Answer:

15

Step-by-step explanation:

Count the units in the green shape or 3 x 5 = 15

The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.

The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P ia the annual payment

PV is the present value = $150,261

r is the rate of intreast = 9.1% = 0.091

n is the time period= 20

The formula for the annual payment is found as;

[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]

Hence the amount of the annual withdrawals will be $16,574.24.

To learn more about the amount refer to the link;

https://brainly.com/question/12184047

Answer:

As Per Given Information

we have been asked to determine the consine ratio of ∠K .

[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]

with respect to ∠K .

substitute the given value & let's solve it for k .

[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]

Therefore,

Your answer is (c) 3/5

Answer:7/8

Mixed number just do it

Answer:

150 cm^2

Step-by-step explanation:

A cube has 6 surfaces

Each surface square = 5 by 5

So.....

5 x 5 (or 25) times 6

25 x 6 = 150

Hope this helps!

Answer:

<N and <K

Step-by-step explanation:

Alternate exterior angles are a pair of angles on the outer side of the two parallel lines and are opposite of each other yet their measure is equal to each other.

The pair of angles that meet these requirements mentioned above are angle N and angle K.

Answer:

x = 6

Step-by-step explanation:

8(2x – 14) + 13 = 4x – 27

Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, distribute 8.

8(2x – 14)

[tex]8*2x=16[/tex]

[tex]8*-14=-112[/tex]

So now our equation is:

16x – 112 + 13 = 4x – 27

Now we can add. We will add 13 to -112.

[tex]-112 +13=-99[/tex]

Now our equation looks like this:

16x – 99 = 4x – 27

Now we have to try to get the variable (x) on one side of the equation.

To do this, we will subtract 4x from both sides of the equation.

16x – 99 = 4x – 27

-4x            -4x

12x - 99 = -27

Now we can add 99 to -27.

[tex]99 + (-27) = 72[/tex]

Now we have

12x = 72

Our last step is to divide both sides by 12:

[tex]\frac{12x}{12}= \frac{72}{12}[/tex]

We get x = 6.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

A.

8(2x – 14) + 13 = 4x – 27

Step 1: Distribute 8, meaning multiply 2x and -4 using 8

8(2x – 14)

8(2x) + 8(-14)

16x - 112

New equation:

16x - 112 + 13 = 4x – 27

Step 2: Add any numbers or like terms:

16x - 112 + 13 = 4x – 27

16x - 109 = 4x - 27

New equation:

16x - 99 = 4x - 27

Step 3: Isolate the variable on one side

16x - 99 = 4x - 27

-4x           -4x

12x - 99 = - 27

     + 99   + 99

12x = 72

Step 4: Divide both sides by 12

12x = 72

/12    /12

x = 6

B.

Check your answer:

8(2x – 14) + 13 = 4x – 27

8(2(6) - 14) + 13 = 4(6) - 27

8(12 - 14) + 13 = 4(6) - 27

8(-2) + 13 = 24 - 27

-16 + 13 = 24 - 27

-3 = -3

This statement is correct

Therefore, our answer (x = 6) is correct.

Hope this helps!

Answer:

10/21

Step-by-step explanation:

5

7

+

2

3

=  

5 × 3

7 × 3

+

2 × 7

3 × 7

=  

15

21

+

14

21

=  

15 + 14

21

=  

29

21

=  

1 8

21

[tex]Hello[/tex] [tex]There![/tex]

Let's do this step-by-step explanantion!

[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]

Apply the fraction rule:

[tex]\frac{5x2}{7 x 3}[/tex]

Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]

[tex]=\frac{10}{7 x 3}[/tex]

Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]

[tex]=\frac{10}{21}[/tex]

Answer:

[tex]\frac{10}{21}[/tex]

Also, sorry. I wasn't able to give you a model.

Hopefully, this helps you!!

[tex]OwoSokka[/tex]

Answer:

A,B,D,E

Step-by-step explanation:

yes