Use the circle graph below to answer each question. 1. What percent of the Milton's budget is for rent? 2. What percent of the Milton's budget is for clothes? 3. If the Milton's have a $2,000 budget, how much of that budget will go in savings? 4. If the Milton's have a $2,000 budget, how much of that budget will go towards food? 5. If the Milton's have a $2,000 budget, how much of that budget will go towards misc items?

Solution:

Given:

Using the inverse trigonometric function,

However, since the sine of the angle is negative, it shows that the angle is in the third or fourth quadrant.

Hence, the possible values of the angle are,

Therefore, the value of the angle to the nearest tenth of a degree is 264.0 degrees or 276.0 degrees.

solve for y

Answer:

y = -41/4 or 10.25

Step-by-step explanation:

7 - 4y = 48

Move 7 across the equals sign to make y stand alone

-4y = 48 - 7

= 41

Divide both sides by the coefficient of y, which is -4

-4y/4 = 41/4

y = -41/4 or 10.25

6 + 42i

Expanding the expression, by using FOIL acronym

(-4+2i)(3-9i)​

-12+36i+6i-18i²

-12 +42i -18i² Remember i²= -1

-12 + 42i -18(-1)

-12 + 42i +18

6 + 42i

2) Now we have that complex number in the form a +bi

-

y= 6x-22

Explanation

Step 1

Let

slope=6

Point (3,-4)

to find the equation in slope intercept form use

Step 2

Replace,

I hope this helps you

it is an error because the number is

b. expanded form

c. 46,350 to the nearest thousand

Answer: 4.05

Just subtract 10.00 by 5.95 to get 4.05

hope this helps :)

The Solution:

Given:

Required:

Find the equivalent of the given expression.

Answer:

[option A]

Given equation:

Open the bracket:

Collect like terms:

Divide both sides by 2:

Answer:

x = 70

SOLUTION:

The one that is not a correct description of these anles is tption D. (They are supplementary angles)

EXPLANATION:

Two angles are said to be supplementary if they add up to be 180 and considering the sum of these angles which is 90 (right angle)

Explanation

The question wants us to determine the amount $2400 will yield after 7 years if compounded annually at a rate of 8.75%

To do so, we will use the formula:

Thus, if we substitute the values above we will have

Therefore, after 7 years, the investment will be worth $4317.34

Hello there. To solve this question, we'll simply have to multiply the percent and the salary to find how much will the raise of the worker.

Given his salary: $35,868 and knowing he'll get a 3% raise, we make:

3/100 * 35,868

107,604/100 = 1,07604

Rounding up the answer to the nearest tenth, we have that his raise will be $1,1.

The formula to use for solving simple interest rate problems is:

Where

i is interest accumulated

P is the initial, or principal, amount

r is the rate of interest [in decimal]

t is the time

Given,

Total amount in account is 80 [principal plus interest]

rate is 2%

time is 8 years

Let's write:

The amount in the account was around $68.97

We will solve it as follows:

1.3.1: We transform liters to cubic centimeters:

So, there are 875 000 cubic centimeters.

1.3.2: We transfrom cubic centimenters into liters:

So, there are 35.853 liters.

Let

x -----> number of students that preferred vanilla cupcakes

y ----> number of students that preferred chocolate

we know that

x+y=750 -----> equation A

and

2/5=x/y

x=(2/5)y ------> equation B

substitute equation B in equation A

(2/5)y+y=750

solve for y

(7/5)y=750

y=750*5/7

y=536

find the value of x

x=(2/5)(736)

x=214

therefore

Answer:

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71

Explanation:

The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.

Then, the profit is equal to

p(x) = f(x) - g(x)

p(x) = 24.96x - (0.04x² + 4x + 71)

p(x) = 24.96x - 0.04x² - 4x - 71

p(x) = -0.04x² + 20.96x - 71

Therefore, the answer is

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71

Answer:

Step-by-step explanation:

Divide 6 by 4:

In the expression, there are 3 terms so polynomial is trinomial.

In trinomial the highest degree of term

is 5. So degree of the polynomial is 5.

Anwer:

Trinomial

Degree is 5.

Recall that:

Therefore:

Now, the above function is well defined as long as x+2 remains positive, therefore, it is well defined as long as x is greater or equal to -2.

Answer: The domain is:

The composition is:

We know by the figure that angles

Given that angle ABC is a right angle, then:

21° + x° + 32° = 90°

x = 90° - 21° - 32°

x = 37°

This corresponds to the option: subtract 21° and 32° from 90°, x = 37°.

We have the following diagram

We are told that the arc NOL has an angle measure of 300°. Recall that the angle measure of the whole circle is 360°. Since the whole circle is the sum of the measures of arcs LMN and NOL we have that the measure of the arc LMN is

By subtracting 300 on both sides, we get

so arc LMN has a measure of 60°. However, note that measure of the arc LMN is the sum of the measures of arcs LM and MN. So

Now, note since lines MX and LM are perpendicular, we can do the following drawing

We can take a look at triangles LDX and NDX. Since the angles NDX and XDL are perpendicular, we can think of line MX as an axis of symmetry. That is, the left side of the circle with respect line MX is an exact copy of what is on the right. This means that the measure of the arc LM is the same as the measure of the arc MN. So we have that

So, dividing both sides by 2, we get

So the measure of the arc MN is 30°.

After simplification, the option 2, [tex]\sqrt{4x}\times \sqrt{12x^8}=4x^4\sqrt{3x}[/tex] is correct option.

In the given question,

We have to find which simplifications is incorrect.

Option 1: [tex]\sqrt{48x^4}\times\sqrt[4]{16x^{10}}=8x^4\sqrt[4]{3x^2}[/tex]

To check whether the given expression is true or not simplifying the left hand side expression.

We simplifying the left hand side by writing it as

[tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}=\sqrt{16\times3\times (x^2)^2}\times\sqrt[4]{(2)^4\times x^{8}\times x^2}[/tex]

[tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}=\sqrt{(4)^2\times3\times (x^2)^2}\times\sqrt[4]{(2)^4\times (x^{2})^4\times x^2}[/tex]

Now simplifying the roots

[tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}=4\times x^2\times\sqrt{3}\times2\times x^2\times\sqrt[4]{ x^2}[/tex]

Now writing it in a simplified form

[tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}=8\times x^{2+2}\times\sqrt{3}\sqrt[4]{ x^2}[/tex]

[tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}=8x^{4}\sqrt{3}\sqrt[4]{ x^2}[/tex]

Hence, the simplified form of [tex]\sqrt{48x^4}*\sqrt[4]{16x^{10}}[/tex] is [tex]8x^{4}\sqrt{3}\sqrt[4]{ x^2}[/tex].

So the given statement is wrong.

Option 2. [tex]\sqrt{4x}\times \sqrt{12x^8}=4x^4\sqrt{3x}[/tex]

To check whether the given expression is true or not simplifying the left hand side expression.

We simplifying the left hand side by writing it as

[tex]\sqrt{4x}\times \sqrt{12x^8}=\sqrt{(2)^2\times x}\times \sqrt{3\times4\times (x^4)^2}[/tex]

[tex]\sqrt{4x}\times \sqrt{12x^8}=\sqrt{(2)^2\times x}\times \sqrt{3\times(2)^2\times ({x^4})^2}[/tex]

Now simplifying the roots

[tex]\sqrt{4x}\times \sqrt{12x^8}=2\sqrt{x}\times 2\times x^4\times\sqrt{3}[/tex]

[tex]\sqrt{4x}\times \sqrt{12x^8}=4x^4\sqrt{3x}[/tex]

Hence, the simplified form of [tex]\sqrt{4x}\times \sqrt{12x^8}[/tex] is [tex]4x^4\sqrt{3x}[/tex].

Hence, the option 2 is correct.

Since we get the write answer so we haven't solve the next option.

The next 2 options also can be solved in the way that we use in previous option to solve.

So the option 2 [tex]\sqrt{4x}\times \sqrt{12x^8}=4x^4\sqrt{3x}[/tex] is correct option.

To learn more about the simplification of expression link is here

https://brainly.com/question/14575743

#SPJ1

Table 1

3:5 , 6 : 10 , 9 :15 , 12 : 20

Table 2

7 : 10 , 14 : 20 , 21 : 30 , 28 : 40

Notice that all ratios in each table are equal. Additionally, since:

And 6<7, then the ratio 3:5 is less than the ratio 7:10.

Therefore, all ratios in table 1 are less than all ratios in table 2.

Some specific comparisons between ratios may apply as well. For example:

The ratio 14:20 (table 2) is greater than the ratio 9:15 (table 1).

Total Lenght = 2 1/4

Lenght of each piece = 3/8

Divide the total lenght by the lenght of each piece:

Total lenght = 2 1/4 = (2*4+1)/4 = 9/4

Total lenght / lenght of each piece = (9/4 ) / (3/8)

To divide 2 fractions we can multiply by the inverse of the second fraction:

Simplify by 12:

6

Answer: 6 pieces

books are on sale for $8

Peter has $25 dollar in his wallet

let the numbers of book be x

so,

if a book cost $8

x number of books cost $25

lets put it into mathematical statement

1 = $8

x = $25

lets cross multiply

1 X 25 = 8 X x

25 = 8x

8x = 25

divide both sides by 8

8x/8 = 25/8

x = 25/8

x = 3.125

x = 3 (approximately)

recall, we say x is the numer of books

so,

the number of books peter can by with is $25 in his wallet is 3atement

1

Problem Statement

We have been given random sample of 100 observations and we have been asked to find the probabilities of getting certain observed values given the population mean of 30 and a standard deviation of 21.

Method

To solve this question, we need to:

1. Find the z-score of the observations. The formula for calculating the z-score is:

2. Convert the z-score to probability using the z-score table.

Implementation

Question A

1. Find the z-score of the observations.:

2. Convert the z-score to probability using the z-score table.:

Using a z-score calculator, we have the probability to be:

This probability is depicted in the drawing below:

If the mean is represented by 0 and the right-hand side of 0 has a probability of 0.5, then the probability of getting greater than or equal to 28, is the addition of the probability 0.037938 gotten above with the 0.5 on the right-hand side of zero.

Thus, the answer to Question A is:

Question B:

We are given coordinates of three points RST and are asked to prove that it forms a Right Triangle.

We kn

From the point-slope formula, we have:

where m is the slope, (x_0,y_0) are known points.

In this case, we have the slope and two points, we can substitute in the formula to get:

therefore, a=3

Note: you can also find a if you use the slope formula.

We have here a case of a normally distributed variable. We can solve this kind of problem using the standard normal distribution, and the cumulative standard normal table (available in any Statistic Book, or on the internet).

We have that we can find z-scores to normalized the situation, and then, using the cumulative standard normal table, we can find the percentile. Then, we have:

In this case, we need to find the raw value, x. We need to find a z-score that represents that before it there are 33% of the cases for this distribution: in this case, the value for z is approximately equal to z = -0.44.

Now, we have the mean (253 lbs), and the standard deviation (1.12 lbs):

And now, we can determine the value, x, which is, approximately, the 33% percentile of this normal distribution:

1. Multiply by 1.12 to both sides of the equation:

2. Add 253 to both sides of the equation:

Therefore, the weight that would be the 33rd percentile, is, approximately, x= 252.5072 or 252.51lbs (rounding to the nearest hundredth).