Multi-step Equations
5) 5n + 34 = -2(1 - 7n)

Answer: y = -27

Solve for y by simplifying both sides of the equation, then isolating the variable. As a result we get y = -27.

Step-by-step explanation:

You want to first distribute:

-(y - 5) = -2(y + 11)

-y + 5 = -2(y + 11)

You want to then distribute again:

-y + 5 = -2(y + 11)

-y + 5 = -2y - 22

Subtract 5 from both sides of the equation:

-y + 5 - 5 = -2y - 22 - 5

Solve and simplify:

y = -27

Solution:

y = -27

Answer:

y=-27

Step-by-step explanation:

-(y-5)=-2(y+11)

-y+5=-2y-22

-y+2y=-22-5

y=-27

I will help u so fast, first

you help me

can u answer this

some fanicial and environmental damages that have been made by cars.

please help me

this is exam

teacher giving us 10 minutes to discuss about and I am in washroom of school writing this

Answer:

Step-by-step explanation:

value of x, the term 2/x will be defined for all x except : 0

As per the concept of difference, there are 8.9 x 10⁶ more population in  New York City than the population of Pittsburgh.

Difference

Difference mean the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other.

Given,

In 2020 the population of New York City was about 9 x 10⁶. The population of Pittsburgh was about 3 x 10³.

Here we need to find how many times more people live in New York City than Pittsburgh.

Before calculating the difference, first we have to expand the given simplified notations like,

9 x 10⁶ = 9000000

Similarly, the value of 3 x 10³ = 3000

Now, the difference of the population in the cities is,

=> 9000000 - 3000

=> 8997000

Then it can be written it as a simplified notation as,

=> 8.9 x 10⁶

Therefore, there are 8.9 x 10⁶ more population in  New York City than the population of Pittsburgh.

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A chain letter starts when a person sends a letter to 5 people. So, approximately 19,550 people receive the letter, and around 9,550 people do not send it out.

In a chain letter scenario where each person sends the letter to 5 other people, and assuming that no one receives more than one letter, we can determine the number of people who receive the letter and those who do not send it out.

The first person sends the letter to 5 people. Each of these 5 people then sends it to 5 new people, resulting in a total of 25 people. This process continues, and each subsequent level increases by a factor of 5. So, the number of people who receive the letter can be calculated as follows:

Level 1: 5 people

Level 2: 5 x 5 = 25 people

Level 3: 5 x 5 x 5 = 125 people

Level 4: 5 x 5 x 5 x 5 = 625 people ...

Level n: 5^n

people If the chain ends after 10,000 people send out the letter, we can find the value of 'n' by solving the equation 5^n = 10,000. Taking the logarithm of both sides, we find that n ≈ 6.9. So, the chain ends at the 6th level.

To determine the number of people who receive the letter, we sum the number of people at each level up to the 6th level: Total = 5 + 25 + 125 + 625 + 3,125 + 15,625 ≈ 19,550 people.

As for the number of people who do not send out the letter, it is the difference between the total number of people who received the letter and the number of people who sent it out:

Number of people who do not send out = 19,550 - 10,000 = 9,550 people. So, approximately 19,550 people receive the letter, and around 9,550 people do not send it out.

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When working with rational functions, your main concern to not divide by 0.  Dividing by 0 can't be done.

So, you need to look at the denominator of your fraction and figure out what values of g will make that denominator become 0.

Option #1 is to plug in each option from your list to see which ones make the denominator equal 0.  If that g-value makes the denominator equal zero, then it has be excluded.

Option #2 is to set the denominator equal to 0 and solve that equation:
    g^3 - 4g^2 - 12g = 0

To solve this, you could do it by factoring.

    g^3 - 4g^2 - 12g = 0     

     g ( g^2 - 4g -12) = 0

   g ( g - 6 ) ( g + 2) = 0

This splits into:
   g = 0, g = 6, g = -2

So those are the three values of g that you cannot use.

g ≠ 0; g ≠ 6, g ≠ –2

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

Answer:

nope its not equal

a×a×a=a³, but a+a+a=3a

so, a³≠3a

Step-by-step explanation:

i hope this helps....can i have brainliest

MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!

Answer:

I am unable to see the photo

Step-by-step explanation:

Can you tell me the question?

The equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4 will be y=2x-11.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that,  

y=2x-4

We have to write an equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4.

The slope of the given equation,

y=2x-4

m=2

The slope of the parallel lines is equal,

m=2

The equation of a line that passes through the point (5,-1) with slope 2 is,

y-y₁=m(x-x₁)

y-(-1)=2(x-5)

y+1=2(x-5)

y+1=2x-10

y=2x-11

Thus, the equation of a line that passes through the point (5,-1) and is parallel to the line y=2x-4 will be y=2x-11.

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The order of the divers, from least to greatest, based on the amount of oxygen left in their tanks is Dante, Sofia, and Alexi.

The three divers, Alexi, Dante, and Sofia, went scuba diving for a few hours and the table shows how much oxygen they had left in their oxygen tanks. In order to determine the order from least to greatest, based on the amount of oxygen left in their tanks, it is necessary to compare the values. Dante had 7.5 liters left in his tank, Sofia had even and five eighth liters left, and Alexi had seventy one ninth liters left. Therefore, the order from least to greatest is Dante, Sofia, and Alexi. The least amount of oxygen left in the tank was 7.5 liters, which belonged to Dante, and the greatest amount of oxygen left in the tank was seventy one ninth liters, which belonged to Alexi. The amount of oxygen left in Sofia's tank fell in between the two, at even and five eighth liters.

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The actual inverse function is:

\(f^{-1}(x) = x^2 + 3\)

And the domain is [0, ∞).

Remember that for a given function f(x) with a domain D and a range R.

For the inverse function, f⁻¹(x) the domain is R and the range is D.

Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).

Then for the inverse function, which is:

\(f^{-1}(x) = x^2 + 3\)

(to check this, you must have that):

\(f^{-1}(f(x)) = x\\\\f(f^{-1}(x)) = x\)

The domain will be [0, ∞) and the range x ≥ 3

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the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Let be "x" and "y" the two positive numbers mentioned in the exercise.

You need to remember the following definitions:

- A Difference is the result of a Subtraction.

- A Product is the result of a Multiplication.

In this case, you know that their Difference is 12 and their Product is 693. So you can set up this System of Equations:

You can solve the System of Equation using the Substitution Method:

1. You can solve for the variable "x" from the first equation:

2. Substitute this new equation into the second original equation and simplify:

3. Now you have to solve for "y", in order to find its value:

- Rewrite the equation in this form:

Since it is the variable "y":

Then:

4. Use the Quadratic Formula to find the values of "y". The formula would be:

In this case:

Then, substituting values and evaluating, you get:

5. Since the numbers mentioned in the exercise are both positive, you must choose only the positive values. Therefore:

6. To find the value of "x", you have to substitute the value of "y" into the equation

Then:

7. Finally, you have to solve the Addition:

The answer is:

Answer:

Step-by-step explanation:

Do you mean 130% of 69? If so then we multiply 69 by 1.3. The answer is 89.7. If you mean something else, please state your question more clearly and I'll be happy to answer it.

Answer:

n + n*1.30 = 69

The number is 30

Step-by-step explanation:

We have a number n

increased by 130%

n + n*130%

is 69

n + n*1.30 = 69

Combine like terms

2.30n = 69

Divide by 2.30

2.30n/2.3 = 69/2.3

n =30

Answer:

40

Step-by-step explanation:

SF of KP to KN = 4

If LM = 32, then we would have to divide 32 by 4 in order to get the missing length of KL.

32 ÷ 4 = 8

Length of KL = 8

Length of LM = 32

Length of KM = 32 + 8 = 40

Given:

novel: 3/4

dictionary: 4 1/2

Let's first convert the two given height into similar fractions (with the sa

-5 + 12  is 7

-2 - 8 is -10

Answer:

Step-by-step explanation:

A would befit the missing cell

Answer: 10+17

Step-by-step explanation:

Distribute:

3(2+6)+4−1

6+18+4−1

Subtract the numbers:

6+18+4−1

6+17+4

Combine like terms:

6+17+4

10+17

solution:

10+17

Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.

To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.

First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:

S(0) = -20 + 2.5(0) = -20

So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.

Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:

S(8) = -20 + 2.5(8) = 0

So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.

To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:

```
        |
        |
        |
        |         *
        |      *
        |   *
        |*_______
        0   8    x-axis
              S-axis
```

The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.

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Answer:

a

Step-by-step explanation:

just bc it is

The obtuse angle such that has the same sine as -275° is θ = 95°

We want to find an obtuse angle (with a measure larger than 90°) in the range 0 ≤ θ ≤ 2π (or 0 < θ < 360°, after that we can change the units from degrees to radians) such that sin(θ) = sin(-275°)

First, remember that the sine function has a periodicity of 360°, then:

sin(-275°) = sin(-275° + 360°) = sin(85°)

Now we know that the sine function is symmetric around x = 90°

Then:

sin(90° + x) = sin(90° - x)

if we take x = 5° we will get:

sin(90° + 5°) = sin(90° - 5°)

sin(95°) = sin(85°) = sin(-275°)

Thus we can conclude that θ = 95°

That is the obtuse angle.

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Answer:

10

Step-by-step explanation:

(21-1)/2

For given situation, the Median measure might describe the data set better.

We know that, the median is the middle number in a sorted, ascending or descending list of numbers.

Also, it can be more descriptive of that data set than the mean.

The median is used because:

It is the most informative measure of central tendency for skewed distributions or distributions with outliers.

For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.

The median is calculated by taking the “middle” value, the value for which half of the observations are larger and half are smaller.

When there is a possibility of extreme values, the median is generally the better measure to use.

Therefore, for given situation, the teacher should report median.

The Median measure might describe the data set better.

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Answer:

The value of the polynomial's constant term is -4

Step-by-step explanation:

Given polynomial;

= -2m³ + m² - m + c

where;

c is the constant term

factor of the polynomial = m+1

then, f(m+1) = 0

m = -1

Substitute the value of m in the given polynomial and solve for the constant term "c";

-2m³ + m² - m + c = 0

-2(-1)³ + (-1)² - (-1) + c = 0

2 + 1 + 1 + c = 0

4 + c = 0

c = -4

Therefore, the value of the polynomial's constant term is -4

The correct answer is option B) £.6159/Can$, is the £/Can$ cross-rate.

The given spot rate for the British pound and the Canadian dollar is used to calculate the £/Can$ cross-rate.

The steps are outlined below:

Step 1: Find the dollar value of the pound and the dollar value of the Canadian dollar:

£.7277 = $1Can$1.1815 = $1

Step 2: Divide the dollar value of the pound by the dollar value of the Canadian dollar to obtain the £/Can$ cross-rate:

£.7277/$1 ÷ Can$1.1815/$1= £.6159/Can$

Thus, the correct answer is option B) £.6159/Can$.

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Answer:

geese

Step-by-step explanation:

geese=super geese