If 84 is added to a number, it will be 5 times as large as it was originally. Find the number

Answ

Step-by-step explanation:wirugf4

Answer:

MUN (1,5,7,10,11,15)..........

Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Answer:

f(x)=9

Step-by-step explanation:

f(x)=-(-2)+7

f(x)=9

Answer:

you can make 12 cans of them

The total cost of 7- line ad is 48.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

function, f(x)= \(\left \{ {{33} \;\;\;\;\;\;\; x \geq 4 \atop {33+5(x-4)}} \right.\), x<4

Now, because 7>4 then the equation used is

33 + 5(x-4)

Now, put x= 7

c(7)= 33 + 5(7- 4)

C(7) = 33+ 15

C(7)= 48

Hence, the total cost of 7- line ad is 48.

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Answer:

the answer is letter A. 6.5

Step-by-step explanation:

it's correct if I'm rwong ( ╹▽╹ )

Answer:

0.8389 = 83.89% probability that the sample mean would be less than 133.5 liters.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean per capita consumption of milk per year is 131 liters with a variance of 841.

This means that \(\mu = 131, \sigma = \sqrt{841} = 29\)

Sample of 132 people

This means that \(n = 132, s = \frac{29}{\sqrt{132}}\)

What is the probability that the sample mean would be less than 133.5 liters?

This is the p-value of Z when X = 133.5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{133.5 - 131}{\frac{29}{\sqrt{132}}}\)

\(Z = 0.99\)

\(Z = 0.99\) has a p-value of 0.8389

0.8389 = 83.89% probability that the sample mean would be less than 133.5 liters.

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

Step-by-step explanation:

We can observe general terms of n:

Rewrite it as:

We need to find the least n for which aₙ > 500:

If n = 10:

If n = 11:

So the least n is 11

If I'm understanding the construction of this sequence correctly, we have

• a₁ = 0

(the sum is empty since there is no positive integer b such that b•1 + b = 1)

• a₂ = 3

(since 3 = 1•2 + 1)

• a₃ = 4 + 8 = 12

(since 4 = 1•3 + 1 and 8 = 2•3 + 2)

• a₄ = 5 + 10 + 15 = 30

(since 5 = 1•4 + 1, 10 = 2•4 + 2, and 15 = 3•4 + 3)

and so on.

Notice that for n ≥ 2, aₙ is simply the sum of the first n - 1 multiples of n + 1. So

\(\displaystyle a_n = \sum_{i = 1}^{n - 1} (n+1)i\)

Recall that

\(\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2\)

Then

\(\displaystyle a_n = (n+1) \sum_{i=1}^{n-1} i = (n+1) \cdot \frac{(n-1)n}2 = \frac{n(n^2-1)}2\)

Solve for n such that aₙ > 500 :

n (n² - 1)/2 > 500

n (n² - 1) > 1000

n³ - n > 1000

We can solve this by inspection. Noticing that 10³ = 1000, if we replace n = 10 we get

10³ - 10 = 990 > 1000

which is false, but the difference is quite small. So we move up to n = 11 and find

11³ - 11 = 1320 > 1000

which is true, so n = 11 is the least number such that aₙ > 500.

Answer:

0.5?

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

help i don't know what i doing

Answer:

48 is the answer

Step-by-step explanation:

we have to do like that

we have to subtract 64 by 16

because every side was increased

by 2 so we have to subtract and you

will get answer as 48

please follow me

Answer:

the answer is 44

4×7 = 28

8×2 = 16

28+16 = 44

Answer: 6

Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.

So, let's begin by adding the numbers.

So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.

Now we divide 48 by the number of numbers in the set which is 8.

48 ÷ 8 is 6.

So the mean of the given data set is 6.

Answer:

x=3

C=50

B=70

Step-by-step explanation:

Answer:

11(7+4)=22 7+4=18 here i think it help for u

Answer:

The equation is \(y=x-9\)

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  \(y=mx+b\)

Where  m  is the slope and  b  is the y-intercept value.  

\(y=1x-2\)

Therefore the slope is  

\(m=1\)

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

\((y-y1)=m(x-x1)\)

Where  m  is the slope and  \((x1,y1)\) is a point the line passes through.  

Substituting the information from the problem gives:

\((y- (-7)=1(x-2)\)

\((y+7)=1(x-2)\)

Or, we can solve for  y  to put the equation in slope-intercept form:

\(y+7=x-2\)

\(y+7-7=x-2-7\)

\(y+0=x-9\)

\(y=x-9\)

Answer:

606.75

Step-by-step explanation:

10% = 75

20% = 150

40% = 300

80% = 600

if we know that 10% is 75, then 1% is 0.75

(75 divided by 10)

0.75 x 9 = 6.75

80 % as mentioned is 600

9 % is 6.75

600 + 6.75 = 606.75

so she got 606.75

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

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The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Answer:

1/4x+2=3

Step-by-step explanation:

hopefully this helps :)

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Answer:

its adding 3

Step-by-step explanation:

So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on

The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.

The sequence is a pattern of placing the values in a specified manner.

Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:

Two days ago: 6 cupcakes

Yesterday: 9 cupcakes

Today: 12 cupcakes

Tomorrow: 15 cupcakes

Day after tomorrow: 18 cupcakes

In five days: 21 cupcakes

And so on, the pattern would continue adding 3 cupcakes for each subsequent day.

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The given quesiton is incomplete, the complete question s given below,

I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??

1. The answer is A: 8.5, because |-8.5| = 8.5

2. The opposit of 13/5 is -13/5