how do you solve and what is answer

Answer:

32

Step-by-step explanation:

Hope it helps!!

Answer:

C

Step-by-step explanation:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

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Answer: y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

Step-by-step explanation:

Let x be the present age of Matt ( in years).

and  Sam's present age = y years

5 years's ago,

Sam's age = y-5 years

Matt's age = x-5 years

As per given,

y=x+12     (i)

and (y-5) + (x+5)=28   ....(ii)

Required system of equations:

y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

Based on the pie chart, more than half of the cars in the study were from the United States. Option (b) is correct. A pie chart is not equivalent to a histogram, bar chart, time plot, or scatter plot. Option (e) is correct.

Based on the pie chart provided, we can conclude that option (b) is correct - more than half of the cars in the study were from the United States. This is because the slice of the pie chart labeled "US" is the largest, occupying more than half of total area.

Option (a) is incorrect because the pie chart does not provide enough information to make a comparison between the gas mileage of Swedish, Japanese, and American cars. Option (c) is also incorrect because the pie chart does not provide information about specific car brands such as Mercedes Benz, Audi, Porsche, and BMW. Option (d) is incorrect because the size of the slice does not indicate the gas mileage of cars from each country.

So, the correct option is (b).

Regarding part (b), a pie chart is not equivalent to a histogram, bar chart, timeplot, or scatter plot as it is a unique way of visualizing categorical data. So, the correct option is (e).

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The constraint that reflects the statement "if project 1 is selected then project 2 must be selected" is x1 ≤ x2.

The constraint x1 ≤ x2 ensures that if project 1 is selected (x1 = 1), then project 2 must also be selected (x2 = 1).

This constraint imposes a logical relationship between the binary variables x1 and x2, indicating that the value of x2 should be at least as large as x1. If x1 is 0 (indicating project 1 is not selected), the constraint does not impose any specific condition on x2.

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Answer:

4x+4y

Step-by-step explanation:

You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.

You'll get:

(2*2x)+(2*2y) = 4x + 4y

4x + 4y is an equivalent expression.

Answer:

VII

Step-by-step explanation:

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Answer:

There are 2 solutions for 2|x + 2| + 1 = 9

Step-by-step explanation:

Hope this helps

Answer: your answer would be 92 .

Step-by-step explanation: all you have to do is add . hope this helped <3 .

Step-by-step explanation:

Below in a photo that can help you understand the question's topic easily

1. Since 0.666... is has a repeating number (6) that goes on forever, it is Q

2. ⅝ is a fraction which means it is rational, so it is Q

3. 2 is included in Whole number, Natural number, integer, but also since it can be a fraction 2/1, so it is N W Z Q

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

3.50$

Step-by-step explanation:

Since a nickel is 5 cents, you would do 5 x 60 which would equal 300, which is 3 dollars.

Since a penny is worth 1 cent, you would do 1 x 50 and get 50 cents, which is half a dollar.

3 + .5 = 3.50

Hope this helps!

-kiniwih426

Answer:

1.283.5

2.34.56

3.92.96

4.39.9

5.34

6.18.7

Step-by-step explanation:

Answer:

I believe the answer is 16    Don't get mad if incorrect just trying my best

Answer:

A. 16

Step-by-step explanation:

If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.

Answer:

Step-by-step explanation:

The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = \(e^{10/(t + 1)²)}\)

V = \(e^{10/(t + 1)²)}\) + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = \(e^{10/(3 + 1)²}\) + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

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To calculate the value of Kearney's retirement savings when he retired, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:
A = final amount
P = initial principal (the amount Kearney invested each month)
r = annual interest rate (5.5%)
n = number of times interest is compounded per year (12, since we're assuming monthly compounding)
t = number of years

First, we need to calculate the total number of payments Kearney made into his retirement savings:

68 - 30 = 38 years

Since Kearney made monthly payments, the total number of payments is:

38 years x 12 months/year = 456 payments

Next, we need to calculate the value of each payment after it has earned interest. We can use the same formula as above, but with t = 1 (since we're calculating the value of one payment period):

P' = P(1 + r/n)^(nt)
P' = 200(1 + 0.055/12)^(12*1)
P' = 200(1.00458333333)^12
P' = 200(1.00458333333)^12
P' = 200(1.00458333333)^12
P' = 243.382740047

So each $200 payment is worth $243.38 after one month of earning interest.

Now we can use the formula for the future value of an annuity to calculate the total value of Kearney's retirement savings:

A = P'[(1 + r/n)^(nt) - 1]/(r/n)
A = 243.38[(1 + 0.055/12)^(12*38) - 1]/(0.055/12)
A = 243.38[1.93378208462 - 1]/(0.055/12)
A = 243.38[34.3478377249]
A = $8,351.53

Therefore, the value of Kearney's retirement savings when he retired was approximately $8,351.53.

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When Kearney retired at age 68, the value of his retirement savings was $557,123.35.

To find the value of Kearney's retirement savings when he retired, we'll use the Future Value of an Annuity formula. Here are the given values and the formula:

Monthly investment (PMT) = $200

Annual interest rate (r) = 5.5% = 0.055

Monthly interest rate (i) = (1 + r)^(1/12) - 1 ≈ 0.004434

Number of years of investment (n) = 68 - 30 = 38 years

Number of months of investment (t) = 38 years * 12 months = 456 months

Future Value of Annuity (FV) formula:

FV = PMT * [(1 + i)^t - 1] / i

Now, we'll plug in the values and calculate the Future Value:

FV = 200 * [(1 + 0.004434)^456 - 1] / 0.004434

FV ≈ 200 * [12.2883] / 0.004434

FV ≈ 557123.35

The value of his retirement savings was approximately $557,123.35.

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Answer:

2x²+7x+3

Step-by-step explanation:

(2x+1)(x+3)

multiply the terms in the first bracket by the second bracket

2x(x+3) + 1(x+3)

=> 2x²+6x+x+3

⇒ 2x²+7x+3

Hope this helps! :)

Answer:

(2x+1)(x+3)= 2x × x + 2x × 3 + 1 × x + 1 × 3

=2x² + 6x + 1x + 3

=2x² + 7x + 3

Answer:

Each person will earn $16.

Step-by-step explanation:

Given that:

Amount of loss faced by the company = $144

Number of people who would share the amount = 9

Let,

x be the share of each person.

Number of people * Share per person = Total loss

9x = 144

Dividing both sides by 9

\(\frac{9x}{9}=\frac{144}{9}\\\)

x = $16

Hence,

Each person will earn $16.

Answers: The solutions are m = 7/2 and m = -3/2

==================================================

Explanation:

\(\text{If } |x| = k, \text{ then } x = k \text{ or } x = -k, \text{ where } k > 0\)

Use that rule to break up the absolute value into two equations. Then solve each equation for m.

\(|2m-2| = 5\\\\2m-2 = 5 \ \text{ or } \ 2m-2 = -5\\\\2m = 5+2 \ \text{ or } \ 2m = -5+2\\\\2m = 7 \ \text{ or } \ 2m = -3\\\\m = 7/2 \ \text{ or } \ m = -3/2\\\\\)

Notes:

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Probability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.

The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .

In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.

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Answer:

Step-by-step explanation:

Simplifying

2ax + 2y = c

Solving

2ax + 2y = c

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2y' to each side of the equation.

2ax + 2y + -2y = c + -2y

Combine like terms: 2y + -2y = 0

2ax + 0 = c + -2y

2ax = c + -2y

Divide each side by '2x'.

a = 0.5cx-1 + -1x-1y

Simplifying

a = 0.5cx-1 + -1x-1y

The value of the equation in terms of c, y, and a is (x - 2y)/2a so option (D) will be correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

In another word, the equation must be constrained with some constraints.

Given the equation,

2ax + 2y = c where x and y are variable and c is constant.

Now,

2ax + 2y = c

2ax = x - 2y

Divide by 2a into both sides

x = (x - 2y)/2a

Hence "The value of the equation in terms of c, y, and a is (x - 2y)/2a".

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Acute angle ⇒ 0⁰ < m < 90⁰

Straight angle ⇒  m = 180⁰

Obtuse angle ⇒ 90⁰ < m < 180⁰

Right angle ⇒ m = 90⁰

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, an obtuse angle is an angle that is wider than a right angle (90 degrees), but not as wide as a straight angle (180 degrees).

When two rays or line segments intersect at a point, they form an angle. If the angle formed is less than 90 degrees, it is called an acute angle. If the angle is exactly 90 degrees, it is called a right angle.

If the angle is greater than 90 degrees but less than 180 degrees, it is called an obtuse angle. Finally, if the angle measures exactly 180 degrees, it is called a straight angle.

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Answer

6

we keep subtracting by 6

12-6 = 6

A = 6