For the polynomial function yequals=​f(x) ​below, choose the statements that most accurately describe the function.

Given : FA is a ray.

Find out the pair of angles share the common side FA.

To proof

As shown in the diagram

∠ BAF and ∠DAF  are th.e pair of angles shares FA as a common side

REASON

Adjacent Angles are those angles that share a common side, a common vertex, and no common interior points.

as ∠ BAF and ∠DAF  shares common vertex A and  common side FA.

Therefore

∠ BAF and ∠DAF  are th.e pair of angles shares FA as a common side

Answer: A is the right answer .Probability of the book chosen is a biography is [tex]\frac{2}{15}[/tex].

Step-by-step explanation:

According to the given graph or pie chart

The number of biography books=4

Total books= Romance books+ Science fiction books+ Biography books+Adventure books =2+14+4+10=30

Let B be the event of choosing a biography book then

Probability of the book chosen is a biography P(B)=[tex]=\frac{biography\ books}{total\ books}=\frac{4}{30}=\frac{2}{15}[/tex]

Therefore, Probability of the book chosen is a biography is  [tex]\frac{2}{15}[/tex].

From the graph, it is found that there is a [tex]\mathbf{\frac{2}{15}}[/tex] probability that the book chosen is a biography, and the correct option is given by option A.

In this problem:

[tex]p = \frac{4}{30} = \frac{2}{15}[/tex]

Thus:

[tex]\mathbf{\frac{2}{15}}[/tex] probability that the book chosen is a biography, and the correct option is given by option A.

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divide the amount she wants to make ( 850) by her hourly pay (23.68)

850 / 23.68 = 35.895

 rounded to the nearest whole hour is 36 hours

Answer:

The Answer is 37.5

Step-by-step explanation:

Answer:

The annual property taxes is $3672 .

Step-by-step explanation:

As given in the question

Beatrice's house is assessed at $102,000 and her property tax rate is 3.6%.

3.6% is written in the decimal form

[tex]= \frac{3.6}{100}[/tex]

= 0.036

Property tax price = 0.036 × $102000

                               = $3672

Therefore the annual property taxes is $3672 .

Answer:

a

Step-by-step explanation:

if dont want to read

The total number of nuts in all the cans is found by multiplying the number of cans (45) by the number of nuts in each can (338). Hence, the total number of nuts, n, in all of the cans is 15210.

This problem is related to simple multiplication. Here, you have 45 cans of nuts and each can contains 338 nuts. So if you want to find the total number of nuts in all the cans, you need to multiply 45 (total number of cans) by 338 (number of nuts in each can).

The multiplication is as follows:

45 * 338 = 15210

So, the total number of nuts, n, in all of the cans is 15210.

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Table 1 shows the possible amounts of cookies and cupcakes in a box, given the ratio of 5 : 4.

What is Ratio?

A ratio indicates how many times one number contain in another number.

Given that;

The ratio of the number of cookies to the number of cupcakes in a box is  5 : 4.

Now, In the table 1;

The ratio are given as,

5 : 4

10 : 8

20 : 16

40 : 32

Since, The ratio are 5 : 4.

Simplify all the ratio as;

10 : 8 = 10/8

        = 5/4

        = 5 : 4

And, 20 : 16 = 20/16

                   = 10/8

                   = 5/4

                   = 5 : 4

And, 40 : 32 = 40/32

                    = 20/16

                    = 10/8

                    = 5/4

                    = 5 : 4

Thus, Table 1 shows the possible amounts of cookies and cupcakes in a box, given the ratio of 5 : 4.

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Answer:

$0.80

Step-by-step explanation:

Answer:

a. $10,122.00

Step-by-step explanation:

By definition the deferment period is a time during which a borrower does not have to pay interest or repay the principal on a loan.

In this case the balance should be the initial value $17,190, but Felicia made 12 payments of $589 each one.

So, $589 x 12 = $ 7,068.

$17,190- $ 7,068 = $10,122

Answer:

All multiples of 48 between 480 and 1200, inclusive

Step-by-step explanation:

I took the test;)

The practical range of the function is [480, 1200].

The function f(t)=48t represents the amount of money earned by Clarence for selling t subscriptions each week. To find the practical range of the function, we need to determine the minimum and maximum value of t that satisfy the given conditions. Since Clarence sells at least 10 and no more than 25 subscriptions each week, the practical range of the function is [480, 1200]. This means that the amount of money earned by Clarence each week can range from $480 to $1200.

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Answer:

the number of cakes that can be produced is only 34.  

Step-by-step explanation:

   total flour needed = flour need for batter + flour needed for topping

,

  total flour needed = 2 2/9 cups + 1/2 cup = 49/18 cups

after, we divide the total amount of flour by the answer obtained above to determine the number of cakes that can be made.

   number of cakes is the total amount of flour  needed per cake

     number of cakes is  95 cups / (49/18) = 34.89 cakes

the number of cakes that can be produced is only 34.

Answer:

The distribution is skewed (either to the left or to the right).

Step-by-step explanation:

Skewness is the measure of how symmetric the distribution of the data is around its mean. It can be skewed either to the left or to the right (meaning that one of the "tails" of the distribution is longer than the other). This means that the mass your data set's observations tends to accumulate more around one extreme of the distribution than around the other.

A strictly symmetric, normal distribution would have a skewness measure of 0.

you could pick:

 A & B

 A & C

B & C

B & A

C & A

C & B

The total number of possible outcomes is 6 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine all the possible outcomes for this experiment:

Step 1 - According to the given data, the total number of items in the box is 3.

Step 2 - The total number of outcomes for this experiment is given by:

Total outcomes = 3!

Step 3 - Simplify the above expression.

Total outcomes = 3 [tex]\times[/tex] 2 [tex]\times[/tex] 1

                          = 6

Step 4 - Now, the list of all the outcomes for this experiment:

A and B

A and C

B and C

B and A

C and A

C and B

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Fred's initial deposit, considering a 3.4% interest rate compounded daily over nine years, was approximately $1258.16.

To find Fred's initial deposit, we need to use the formula for compound interest:
A = P(1 + r/n)ⁿᵗ, where:

Here, we know:

We need to find P. Rearrange the formula to solve for P:

P = A / (1 + r/n)ⁿᵗ

Substitute the known values:

P = 1728.57 / (1 + 0.034/365)³⁶⁵×⁹

First, calculate the daily interest rate

0.034 / 365 = 0.00009315

Next, calculate the exponent:

(365 × 9) = 3285

Now, compute (1 + daily interest rate) raised to the power of 3285:

(1 + 0.00009315)³²⁸⁵ = 1.37423

Finally, divide the final amount by this value:

P = 1728.57 / 1.37423 = 1258.16.

Answer: It's 115 I took the k12 test

Step-by-step explanation:

The sofa's original price is calculated by using the formula: original price = sale price/percentage in decimal format. In this case, the percentage is 68%, and hence the original price would be 357 / 0.68 which is equal to $525.

This is a percentage problem. If the sale price of $357 represents 68% of the original price (because 100% - 32% is 68%), we can find the original price of the sofa using the formula: original price = sale price/percentage in decimal format.

Therefore, the original price would be 357 / 0.68 = $525

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Answer:

The value of x is 0.09

Step-by-step explanation:

Here, the given function is,

[tex]f(x)=\log(-20x+12\sqrt{x})[/tex]

Differentiating with respect to x,

[tex]f'(x)=\frac{1}{-20x+12\sqrt{x}}(-20+\frac{12}{2\sqrt{x}})[/tex]

[tex]=\frac{-20+\frac{6}{\sqrt{x}}}{-20x+12\sqrt{x}}[/tex]

[tex]=\frac{-10+\frac{3}{\sqrt{x}}}{-10x+6\sqrt{x}}[/tex]

[tex]=\frac{-10\sqrt{x}+3}{2\sqrt{x}(-5x+3\sqrt{x})}[/tex]

Again differentiating with respect to x,

[tex]f''(x)=-\frac{(-10\sqrt{3}+3)(-15x+3\sqrt{3})}{4x\sqrt{x}(-5x+3\sqrt{x})}[/tex]

For maxima or minima,

[tex]f'(x) = 0[/tex]

[tex]\implies \frac{-10\sqrt{3}+3}{2\sqrt{x}(-5x+3\sqrt{3})}=0[/tex]

[tex]\implies x \approx 0.09[/tex]

At x = 0.09,

f''(x) = negative,

Hence, for x = 0.09, f(x) is maximum.

3 + 4+ 5+8 = 20 total marbles

3 green  +5 blue = 8 marbles

probability = 8/20 reduces to 2/5

We want to find the lowest common multiple of 3 numbers.

We will see that the 300th caller will get the 3 prizes.

Ok, we know that:

We want to see the first time that the 3 prizes will be given at the same time (at the same caller).

This will happen for the lowest common multiple of 15, 25 and 100

Now, to find the lowest common multiple we can use brute force, this is, writing all the multiples of the 3 numbers and watching which one is the first to appear in the 3 lists, but here we can do another thing.

One of the numbers is 100, so its multiples are:

100, 200, 300.

And we know that with 25 we can make all of these numbers:

25*4 = 100

25*8 = 200

25*12 = 300

So all the multiples of 100 are also multiples of 25.

Then we just need to find the first common multiple between 100 and 15.

To get this, we can decompose both numbers as a product of primes:

15 = 3*5

100 = 10*10 = 2*5*2*5

Now we multiply these, but if there is some factor that appears in both numbers we remove it (only from one).

For example, here we can see that the factor 5 appears in both numbers, so we need to remove one of the fives in the product.

We will get:

(3*5)*(2*5*2) = 300

So the lowest common multiple is 300.

This means that the 300th caller will get the 3 prizes.

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