Which of the following is a complex number?

The width of the rectangular swimming pool is 14 yards.

To find the width of the rectangular swimming pool, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). Given that the perimeter is 70 yards and the length is 21 yards, we can rearrange the formula to solve for the width:

P = 2(21 + w)

70 = 2(21 + w)

Divide both sides by 2:

35 = 21 + w

Subtract 21 from both sides:

14 = w

Therefore, the width of the swimming pool is 14 yards.

Answer: lt will take 28.09 years for the account value to reach $37800

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r) t

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r = Annual Nominal Interest Rate (decimal form)

Replacing with the values given

37800= 9600 (1+0.05)^t

Solving for t (years)

37800/9600 = 1.05^t

3.9375 = 1.05^t

log 3.9375 = log 1.05^t

log 3.9375 = t (log 1.05)

log 3.9375/log 1.05 = t

t = 28.09 years

The expression is 1/2(14)* 10*8- π (2.5)² *8.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

Prism: side length  base= 14 units and 10 units

Cylinder  d= 5 units

So, Volume of prism

=1/2(14)* 10*8

and, Volume of cylinder

= π (2.5)² *8

As, the cylinder is cut out then the expression would be

=1/2(14)* 10*8- π (2.5)² *8

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Answer:

1 yd^2

Step-by-step explanation

A=1/2(2)(6)Sin(10)

Final answer:

The area of a triangle with sides of 6 yd and 2 yd and an included angle of 10° is approximately 1.0439 square yards.

Explanation:

To find the exact area of a triangle with two sides measuring 6 yd and 2 yd and an included angle of 10°, you can use the formula for the area of a triangle when two sides and the included angle are known: A = ½ ab × sin(C), where a and b are the sides and C is the included angle.

The calculation will be: A = ½ × 6 yd × 2 yd × sin(10°). Using a calculator with the sine function set to degrees, we find that sin(10°) ≈ 0.17365. Therefore, the area A is approximately: A = ½ × 6 yd × 2 yd × 0.17365 ≈ 1.0439 yd².

Thus, the exact area of the given triangle is approximately 1.0439 square yards.

Answer:

3 spaces backwards, if you still need it.

Step-by-step explanation:

The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.

Expected Value Calculation:

To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.

The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).

The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:

Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)

= (10/16 * -6) + (6/16 * 2)

= (-60/16) + (12/16)

= (-48/16)

= -3

Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.

Answer:

c

Step-by-step explanation:

hope it help

Answer:

i think the answer is B

Step-by-step explanation:

Answer:

50 Boys

70 Girls

Step-by-step explanation:

Lets take the no. of boys = 5x

and girls = 7x

Total no. of students in ratio = 12x

Total no of students = 120

Therefore, 12x = 120

x = 10

So, no. of boys = 5x = 5*10 = 50

No. of girls = 7x = 7*10 = 70

Answer:

0,1,2,3,4 any of those would work and be less then 50

Step-by-step explanation:

Answer:

-oo, oo

Step-by-step explanation:

Answer:

237

Step-by-step explanation:

25/100 = x/948, simplify to get 1/4 = x/948

cross multiply and get 948=4x

swap the sides and get 4x=948

divide both sides by 4 and get x=237

in conclusion 237 students won't get summer jobs.

About 237 students at Mohawk High School are predicted not to get summer jobs based on applying the survey percentage of 25% to the total student population of 948.

To predict how many students at Mohawk High School will not get summer jobs, we use the percentage from the survey and apply it to the total number of students at the school. According to the survey, 25% of high school students reported that they would not get summer jobs. Mohawk High School has a total of 948 students.

To find the number of students who will not get summer jobs, we perform the following calculation:

Thus, we predict that about 237 students at Mohawk High School will not get summer jobs.

Answer:

1/2

Step-by-step explanation:

1/2 of 1/4 is 1/8

so 1/8 + 3/8 is 4/8

4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

1/2t +3/8

Replace t with 1/4

1/2 x 1/4   +    3/8        (the x is the multiplication symbol)

Then multiply 1/2 and 1/4

1/8 +3/8

Then add.

4/8 = 1/2

P.S.

Hope this helps you and explains the answer! Have a great day and stay safe!

Answer: 85 placemats

Step-by-step explanation:

Let’s split it into three parts: how much Samuel can weave, how much Randi can weave, and how much they can weave in total

Part 1: Samuel

First, let’s figure out how much Samuel can weave!

First, we know that Samuel can weave 7 placemats in 8 hours (1 day). So, if he weaved placemats for 5 days, then:

= 7 x 5

= 35

Therefore, Samuel weaved 35 placemats in 5 days if he worked 8 hours each day.

Part 2: Randi

We know that Randi makes 5 placemats in 4 hours, which is half, a day. But lets figure out how many placemats he can make it a day.

All we have to do is multiply by two.

= 5 x 2

= 10

So, we now know that he can make 10 placemats in a day. Now, let’s see how many placemats he can make in five days.

= 10 x 5

= 50

Therefore, Randi weaved 50 placemats in 5 days if he worked 8 hours each day.

Part 3: Adding Them

Now, we have 35 placemats from Samuel and 50 placements from Randi. So, we have to add them.

= 35 + 50

= 85

Therefore, Randi and Samuel can make 85 placemats in 5 days together if they work 8 hours each day.

Samuel and Randi can make a total of 85 placemats in 5 days.

To find out how many placemats Samuel and Randi can make in 5 days, we need to calculate how many placemats each of them can make in one hour. Samuel can weave 7 placemats in 8 hours, so he can weave 7/8 placemats in one hour. Randi can weave 5 placemats in 4 hours, so she can weave 5/4 placemats in one hour. To find out how many placemats they can make in 5 days, we need to multiply their rates by the number of hours they work in 5 days. Samuel can make (7/8) * (8 * 5) = 35 placemats in 5 days. Randi can make (5/4) * (8 * 5) = 50 placemats in 5 days. Therefore, Samuel and Randi can make a total of 35 + 50 = 85 placemats in 5 days.

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Answer:

I want brainliest!!!   :)

Step-by-step explanation:

That angle is 90 degrees

x+18+x=90

2x=72

x=36

Answer:

- 2x² + 3x + 64

Step-by-step explanation:

3x - (2x-8)²       Write the equation and distribute the exponent

3x - 2x² + 64     Write the equation in order of degree of exponents, or standard form

- 2x² + 3x + 64

the result of the polynomial when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex] is

[tex]-4x^2+35x-64[/tex]

Given :

We need to simplify when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex]

Lets subtract[tex](2x-8)^2[/tex] is subtracted from [tex]3x[/tex]

we write the expression as

[tex]3x-(2x-8)^2[/tex]

Now we expand the square

[tex]3x-(2x-8)^2\\3x-(2x-8)(2x-8)\\3x-(4x^2-16x-16x+64)\\3x-4x^2+16x+16x-64\\-4x^2+35x-64[/tex]

The simplified polynomial is

[tex]-4x^2+35x-64[/tex]

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Answer: (2x+5)^2

Step-by-step explanation:

Answer:

(2x-5)^2 ITS A MINUS NOT A PLUS I JUST. DID HIS ANSWER HES WRONG APEX VERAFIED

Step-by-step explanation:

Answer:

6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Step-by-step explanation:

Given

(3x² - 2x)(2x² + 3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis

= 6[tex]x^{4}[/tex] + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms

= 6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Answer:

24

Step-by-step explanation:

Multiply the base by the height

Base:8

Height:3

To find the base..... Count the amount of grid squares on the bottom of the parallelogram.

To find the height.... Count the amount of grid squares on the side of the parallelogram.

I hope I've helped! Please leave a Thanks and Vote.

Answer:

A The first line should have an intercept at 2 not at 1

Step-by-step explanation:

The first line should have an intercept at 2 not at 1.  The graph is 1 unit too low

The intercept should be at x=3 and y = 1

Answer:

First one

Step-by-step explanation:

Line 1:

When x = 0

y = -(1/3)(0) + 2

y = 2

y-intercept is 2

Answer:

x=1 .

Step-by-step explanation:

b on edge 2020  

In a mixed market economy, which typically combines elements of both market and government intervention, the BEST example is the government imposes a limit on the number of television sets that can be exported annually. Here option D is correct.

This scenario reflects a government intervention aimed at managing international trade and protecting domestic industries. By imposing export limits on television sets, the government can regulate the flow of goods, balance trade, and potentially safeguard local industries from excessive foreign competition.

This intervention allows for a controlled market environment while still allowing private enterprises to operate. Unlike the other options, this scenario demonstrates a strategic use of government intervention to achieve economic objectives without completely dominating the market or infringing on individual business operations.

It showcases a balance between free-market principles and government oversight, characteristic of a mixed market economy. Here option D is correct.

Complete question:

Which scenario is the BEST example of how the government would act in a mixed market economy?

A - The government requires a factory to produce surplus goods for the use of the military.

B - The government stops a factory from producing imitations of an expensive type of purse.

C - The government allows only two competitors to offer goods for sale on the country's highways.

D - The government imposes a limit on the number of television sets that can be exported annually.

Answer:

$48.15

Step-by-step explanation:

To work this out you will first need to work out the cost of the shirts. You can do this by multiplying 15 by 3, which gives you 45. The next step is to work out the percentages, however there are two methods you can use. Method 1 is easier and involves directly calculating the total. While Method 2 is to use the traditional method of working out the percentage and then adding it to the price of the shirts.

1) Multiply 15 by 3.

[tex]15*3=45[/tex]

Method 1:

The first step for method 1 involves converting the percentage into a decimal. You can do this by dividing 7 by 100, which gives you 0.07. This is because percentages are out of 100. the next step is to add 1 to 0.07, which is 1.07. This is because we are increasing the amount by 7%. You would then multiply 45 by 1.07, which gives you $48.15.

1) Divide 7 by 100.

[tex]7/100=0.07[/tex]

2) Add 1 to 0.07.

[tex]0.07+1=1.07[/tex]

3) Multiply 45 by 1.07.

[tex]45*1.07=48.15[/tex]

Method 2:

The first step for the second method you would first need to divide the percentage of 7 by 100, which gives you 0.07. Then you would multiply that by the amount of 45, which gives you 3.15. Then you would add 3.15 to 45, which gives you $48.15

1) Divide 7 by 100.

[tex]7/100=0.07[/tex]

2) Multiply 0.07 by 45.

[tex]0.07*45=3.15[/tex]

3) Add 3.15 to 45.

[tex]3.14+45=48.15[/tex]

Answer:

5

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Following the order, first is parenthesis:

3 · 5 - 2(5)

Multiplication:

15 - 10

5

Answer:

a. 3, 100 degrees

- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.

b. 6, 100 degrees

- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.

c. 4, 80

- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees

Step-by-step explanation:

Everything was explained above, but be sure to know...

       N

W             E

       S

- Hope that helps! Please let me know if you need further explanation.

Answer:

(2x-y+2)(2x+y-2)

Step-by-step explanation:

4x² - y² + 4y - 4=

=(2x)²-(y²-4y+4)

=(2x)²-(y-2)²

= [2x-(y-2)][2x+(y-2)]

=(2x-y+2)(2x+y-2)

a²-b²=(a-b)(a+b)

Step-by-step explanation:

the answer is (2x-y+2) (2x+y-2)

Answer:

4.24

Step-by-step explanation:

Since it is the midpoint, it means that the entire diagonal will measure twice, that is 3 * 2 = 6

To calculate the length of the sides, we can do it by means of Pythagoras, since it is a square a = b

c ^ 2 = a ^ 2 + b ^ 2

c ^ 2 = 2 * a ^ 2

6 ^ 2 = 2 * a ^ 2

a ^ 2 = 36/2

a = 4.24

therefore, it means that the sides of the square measure 4.24

Answer:

Answer: C (3rd option)

Step-by-step explanation:

E2020

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using simultaneous equations:

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

Final answer:

To create 2,000 liters of a cleanser blend sold at 59 cents per liter, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser, using a system of equations.

Explanation:

How to Mix Cleansers for a Desired Cost

To solve this problem, we need to set up a system of equations that reflects the cost and the quantity of the blend we want to obtain. Let's assign x to represent the amount in liters of the 50 cents per liter cleanser and y to represent the amount in liters of the 80 cents per liter cleanser.

Following the premise of the problem, we have two equations:

The total amount of the mixture should be 2,000 liters:

x + y = 2,000

The cost for the blend per liter is 59 cents, so the total cost for 2,000 liters would be 2,000 * $0.59. The sum of the individual costs of cleansers multiplied by their respective volumes should equal this total cost:

0.50x + 0.80y = 2,000 * $0.59

Solving this system of equations, we find that:

x = 800 liters of the 50 cents cleanser

y = 1,200 liters of the 80 cents cleanser

Thus, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser to obtain 2,000 liters of the blend sold for 59 cents a liter.

Answer:

0.25

Explanation: To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.