-5(X+2)=-20
How do I solve for x

The factor of 36 in order from smallest to largest is 2 × 2× 3× 3.

Prime factor:

Factors are the numbers you multiply together to get another number. In simple words, a prime factor is finding which prime numbers multiply together to make the original number.

Here we have to find the prime factor 36.

That is we have to find the smallest multiplication of digits to get the value.

36 = 2 × 2 × 3 × 3

Therefore the prime factor is 2 × 2×3×3.

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Answer:

\( \frac{y {}^{7} }{z {}^{6}x {}^{5} } \)

I hope it helps you

please mark brainliest

Jasmine sold the fidget spinner to Bryan for the cost of $5.55.

To find the cost that Jasmine sold the fidget spinner to Bryan for, we need to first find the amount of the markup by multiplying the original price by the markup percentage.

As per the question, the original price of the fidget spinner is $3, and the markup percentage is 850%, so the markup amount is :

$3 × 850% = $2.55.

Next, we need to add the markup amount to the original price to find the selling price. So, the selling price is :

$3 + $2.55 = $5.55.

Therefore, Bryan paid $5.55 for the fidget spinner that Jasmine had just sold him.

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Answer: 14

Step-by-step explanation: absolute value is always positive

Answer:

the answer would be 14

Step-by-step explanation:

because those 2 little lines mean the positive of that number

The correct responses for the arithmetic and exponential sequence and function are;

1. First part; 32 pennies

Second part; Approximately 50 days

2. 24.6 gallons

3,738.5 minutes

3. $67.2

Approximately 24 months

4. 1106.14 gallons

66.56 minutes

The difference is 1 is an arithmetic sequence while 3 is an exponential function

An arithmetic sequence is a group of numbers in which the difference between subsequent terms is a constant

1. The given parameters are;

The initial amount Savannah placed in the piggy bank = 5 pennies

The amount given to Savannah each day = 3 pennies

Required;

First part;

The amount Savannah will have after 10 days

Solution;

The mathematical model for the situation is an arithmetic sequence or progression

The equation for an arithmetic progression is;

\(a_n = a_1 + (n - 1) \times d\)

Where;

\(a_n\) = The amount after n days

\(a_1 \) = The first amount Savannah placed in the piggy bank = 5 pennies

n = The number of days

d = The common difference between the amount present in consecutive days = 3 pennies

The amount after 10 days is therefore;

\(a_{10} = 5 + (10 - 1) \times 3=32\)

The money after 10 days is 32 pennies

Second part;

The number of days it would take for there to be $1.50 in the piggy bank.

Solution;

100 pennies = $1.00

Therefore;

$1.50 = 150 pennies

Which gives;

150 = 5 + (n - 1) × 3

(n - 1) × 3 = 150 - 5 = 145

(n - 1) × 3 = 145

n - 1 = 145 ÷ 3

n = 145 ÷ 3 + 1 ≈ 49.3 ≈ 50

It will take approximately 50 days for the amount in the piggy bank to be $1.50

2. The volume of the pool = 1,500 gallons

The initial amount of water in the pool = 5 gallons

The rate at which water enters the pool = 2 gallons in 5 minutes

Required;

First part

The volume of water in the pool after 50 minutes

Solution;

2 gallons in 5 minutes = (2/5) gallons/minute = 0.4 gallons/minute

Therefore;

\(a_{50} = 5 + (50 - 1) \times 0.4 =24.6\)

After 50 minutes, 24.6 gallons will be in the pool

Second part;

The time it will take to fill the pool is given by the equation;

\(1500 = 5 + (n - 1) \times 0.4\)

number

Which gives;

n = 3738.5

It will take 3,738.5 minutes to fill the pool

3. The formula for finding the amount in the account is the compound interest formula;

\(\displaystyle{A = P\cdot (1 + r)^n }\)

Where;

A = The amount in the account after n months

P = The initial amount in the account = $50.0

r = The interest rate = 3.0%

n = The number of periods (months)

After 10 months, we have;

\(\displaystyle{A = 50 \times (1 + 0.03)^{10} \approx 67.2 }\)

The amount in the account after 10 months is therefore, approximately $67.2

Second part;

Double the initial amount is 2×$50 = $100

Which gives;

\(100 = \displaystyle{50 \times (1 + 0.03)^{n} \approx 67.2 } \)

Which gives;

n ≈ 23.45

Therefore it will take approximately 23.45 months or approximately 24 months for the amount to double

4. Using the exponential function formula, we have;

Number of 5 minutes in 50 minutes = 10

\( \displaystyle{1500 \times (1 - 0.03)^{10} \approx 1106.14} \)

The water remaining after 50 minutes is approximately 1106.14 gallons

The time it takes for there to be less than 1,000 gallons in the pool is given as follows;

\( \displaystyle{ 1000= 1500 \times (1 - 0.03)^{n}} \)

Which gives;

n = 13.3

Therefore;

The water in the pool will be less than 1000 gallons after 13.3, 5 minute periods or 13.3 × 5 minutes≈ 66.56 minutes

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To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming the interest rate remains constant throughout the 10-year period, Rajesh will have enough money in the account to cover all of the required loan payments. The total amount of money he will withdraw over the 10-year period will be $30,000 (250 x 12 months x 10 years). At the end of the 10-year period, he will have $50,847.90 in the account, which is more than enough to cover the required loan payments.

So, depending on the original coordinates, moving down 9 units and left 2 units will end up in either the third or fourth quadrant of the coordinate plane.

A coordinate is a set of values that specifies the position of a point or an object in a geometric space. In a two-dimensional space, such as the Cartesian plane, a coordinate is typically represented by a pair of numbers (x, y), where x represents the horizontal position (or abscissa) of the point and y represents the vertical position (or ordinate) of the point.

Here,

Starting from an arbitrary point (x, y), if we move down 9 units and left 2 units, we will end up at the point with coordinates (x - 2, y - 9). The new x-coordinate is obtained by subtracting 2 from the original x-coordinate, since we moved 2 units to the left. The new y-coordinate is obtained by subtracting 9 from the original y-coordinate, since we moved 9 units down.

The quadrant we end up in depends on the original coordinates (x, y) and the direction of the movement. If we start in the first quadrant (x > 0, y > 0) and move down and left, we will end up in the third quadrant (x < 0, y < 0).

If we start in the second quadrant (x < 0, y > 0) and move down and left, we will also end up in the third quadrant (x < 0, y < 0).

If we start in the third quadrant (x < 0, y < 0) and move down and left, we will end up in the fourth quadrant (x > 0, y < 0).

If we start in the fourth quadrant (x > 0, y < 0) and move down and left, we will still end up in the fourth quadrant (x > 0, y < 0).

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Answer:

(3,2)

Step-by-step explanation:

 2(y = 5x - 13)

-(2y = -5x + 19)

0 = 15x - 45

15x = 45 --> x=3

y = 5(3) - 13

y = 2

The proportion of the laptops is equal to 0.6 with the price range between 624 dollars to 768 dollars for the given mean and standard deviation.

As given in the question,

Given condition:

Price of of given laptops set are normally distributed:

Mean 'μ' is equal to 750 dollars

Standard deviation 'σ' is 60 dollars

let 'X' represents the price of laptops

Range of price is given by:

624 < X < 768

= (624 - μ)/σ < (X - μ)/σ < (768 - μ)/σ

= (624 - 750)/60 < (X - μ)/σ < (768 - 750)/60

= -126 /60 < (X - μ)/σ  <  18 /60

= -2.1 < Z < 0.3

From the table , value of z-score is equal to

z-score for -2.1 = 0.01786

z-score for 0.3 = 0.6179

Required proportion is equal to

0.6179 - 0.01786

= 0.6179 - 0.0179

= 0.6

Therefore, the proportion of laptops with the price between 624 and 768 is equal to 0.6.

The complete question is :

A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60dollars.

What proportion of laptop prices are between 624 dollars and 768 dollars?!

You may round your answer to four decimal places.

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Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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Answer: %25

Step-by-step explanation: 19/76 = 0.25

According to the percentage,There are the three(3) odds that you would receive no money after pushing it 300 times.

According to the statement

we have to find that the odds that you would receive no money after pushing it 300 times.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

There is a 1% chance of giving you a dollar every time you pushed it

And the times we push the button is a 300 times.

Then

the odds that you would receive no money after pushing it 300 times

And for this

The chances that we would not receive money = 1/100*300

The chances that we would not receive money = 0.01*300

The chances that we would not receive money = 3.

So, According to the percentage,There are the three(3) odds that you would receive no money after pushing it 300 times.

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Answer:

-10+6=-4

Step-by-step explanation:

Here's why we use distributive property, so a(b+c) = ab+ac, therefore 2(-5+3) is -10+6, which is equal to -4.

Answer:

I don't know what you mean, but I will try to answer.

2(-5+3)= -10+6

Value: -4

Step-by-step explanation:

2(-5+3)=

First, "distribute" the two by multiplying it to each of the two numbers in the parenthesis.

2(-5)= -10

2(3)= 6

After you finished multiplying, you will have this:

-10 + 6= (I am pretty sure this is equivalent to what you started with)

Now, you get the answer for the equation.  You would add -10 and 6 to get -4.

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

x ≈ 14.6

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{17}\) ( multiply both sides by 17 )

17 × sin59° = x , then

x ≈ 14.6 ( to 1 dec. place )

Answer:  There is a total of 900 seats in the auditorium.

Step-by-step explanation:

there is a formula for this

t - n = a + ( n - 1) d

It is called a Arithmetic Progression.

We use this to find the number of seats in the last row first.

a = initial value, 12

d = common difference for each successive term

n = is the number of terms in the sequence

t - 25 = 12 + (25 -1) * 2

We ignore the left side for now, just solve the right and we get 60.

Now we use the equation,

n / 2 (2a + n -1 * d)

So,

25/2 ( 24 + 24 * d)

The answer is 900

Answer:

No, No, Yes, Yes, Yes.

Step-by-step explanation:

A integer is a whole number. 1, 2, 3, etc.

Answer:

Only -46 is an integer number and others are not.

Step-by-step explanation:

An integer is a whole number but not a fractional number that can be positive, negative, or zero.

In this chart -46 is an integer cause it is a whole number and -1/2, 57.68, 24/6, 9/3 are not integers cause they are a fraction.

Answer:

3 terms

Step-by-step explanation:

Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

\(\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}\)

The given sigma notation means

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

\(\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}\)

\(\implies S_{28}=114125.755...\)

\(\implies S_{28}=114126\)

Therefore, the value of the given expression to the nearest integer is 114,126.

Answer:

To solve this problem, we can use the equations of motion for a vertically launched object. First, we need to find the initial velocity of the snowball when it is kicked off the ground. We know that its speed is 24 feet per second, but we also need to take into account the angle at which it is kicked. Let's assume that Max kicks the snowball at a 45-degree angle. Using trigonometry, we can find that the horizontal velocity of the snowball is also 24 feet per second, and the vertical velocity is 24 feet per second times the sine of 45 degrees, which is approximately 16.97 feet per second. Now we can use the following equation to find the time it takes for the snowball to hit the ground: h = vi*t + 0.5*a*t^2 where h is the maximum height, vi

Answer:

$17.30

Step-by-step explanation:

So each video game is $2.60 and Brian rented 5 of them.

5 * 2.60 = 13

He spent $13 on just the video games. Now, he also rented 1 DVD, priced at $4.30.

13 + 4.30 = 17.30

Brian spent a total of $17.30 on rentals in the past month.

Stay safe <3

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

A total of 55.86 minutes have gone by since Greg started his run on the treadmill.

If Greg has completed 57% of his run, it means he has 43% of his run remaining.

To find out how many minutes have gone by, we can use proportions.

Let's say x is the total number of minutes Greg needs to complete his run:

x = 57% * 98 minutes

Evaluate

x =  minutes

Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.

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Answer:

D. 300

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Variables

Stuffed bears = b

Stuffed dogs = d

Step 2: Define Systems

$7b + $8d = $3800

b + d = 500

Step 3: Rewrite Systems

b + d = 500

Step 4: Redefine Systems

7b + 8d = 3800

-7b - 7d = -3500

Step 5: Solve for d

Elimination

Step 6: Define Answer

d = 300 means that the students bought 300 stuffed dogs.

Answer:

D

Step-by-step explanation:

Remark

Let the stuffed bear = x

Let the stuffed dog = y

Equations

x + y = 500                   (1)

7x + 8y = 3800               (2)

Solution

There are two ways you could do this. You can use substitution or you could use multiplying equation 1 by either 7 or 8 to get rid of the x or y.

Multiply (1) by 7

7x + 7y = 3500             (3)       Write equation (2) below (3) and subtract

7x + 8y = 3800                        Subtract

    -y = - 300                            Multiply by - 1

     y = 300

Use the result for y to get x using equation 1

x + y = 500

x + 300 = 500                         Subtract 300

x = 500 - 300

x = 200

Stuffed bears = 200

Stuffed dogs   = 300

The discrete random variables from the given options are: 1, 2, 4, and 5.

The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.

The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.

Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.

The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.

On the other hand, the following option is not a discrete random variable:

The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5

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Answer:

D. 2019

Step-by-step explanation:

So I started by rewriting the function f(x)

1000 = 10^3 so

    f(x)=10^3 times 1.03^x

1.03 = 103/100 so

     f(x)= 10^3 times (103/100)^x

to raise a fraction to a power you just raise the numerator and denominator to that power so

      f(x)= 10^3 times 103^x/100^x

change it to exponential form with a base of 10

     f(x)=10^3 times 103^x/10^2x

then you can reduce it with the 10^3

     f(x)=103^x/10^2x-3

so now that thats in more of a standard form you can find the intersection of the two functions

which is at (9.012,1305.244)

x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.