Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3

Answer:

x=$1850

Step-by-step explanation:

Let the original price of the computer model is x.

Last years discount is 20%

We need to find the original price if the computer now costs $1480.

ATQ,

\(x-20\%\ \text{of x}=1480\\\\x-\dfrac{20x}{100}=1480\\\\x-\dfrac{x}{5}=1480\\\\\dfrac{4x}{5}=1480\\\\x=\dfrac{1480\times5}{4}\\\\x=\$1850\)

So, the original cost of the computer model is $1850.

Answer:

\(Sales\ Tax = \$1044\)

Step-by-step explanation:

Given

\(Sales\ Tax = 4\%\)

\(Total = \$27,146\)

Required

Determine the amount that is sales tax

The total price is calculated by

\(Total\ Price = Price + Sales\ Tax\)

Recall that Sales Tax = 4% of Price;

So, we have

\(Total\ Price = Price + 4\% * Price\)

Substitute 27146 for Total Price

\(27146 = Price + 4\% * Price\)

Convert % to decimal

\(27146 = Price + 0.04Price\)

\(27146 = 1.04Price\)

Divide both sides by 1.04

\(Price = \frac{27146}{1.04}\)

\(Price = \$26102\)

So:

\(Sales\ Tax = 4\%\)

\(Sales\ Tax = 4\% * \$26102\)

\(Sales\ Tax = \$1044\)

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

\(x \geqslant 4\)

Step-by-step explanation:

1) Add 9 to both sides.

\(5x \geqslant 11 + 9\)

2) Simplify 11 + 9 to 20.

\(5x \geqslant 20\)

3) Divide both sides by 5.

\(x \geqslant \frac{20}{5} \)

4) Simplify 20/5 to 4.

\(x \geqslant 4\)

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

There are no solutions.

Step-by-step explanation:

Answer:

This equation has infinitely many solutions

Step-by-step explanation:

Background: This is a problem where you need to find x, meaning that you must isolate x. To do this you can use different math properties to move terms to different sides or to cancel terms out in order to isolate x.

1. Parenthesis (Always start with what's in the parenthesis)

5(3x+9) and 2(x-5) are the equations that are in parenthesis and must be distributed.

5(3x+9) = 5*3x + 5+9 = 15x + 45

2(x-5) = 2*x - 2*5  = 2x - 10

You can then put these back into the equation

15x + 45 - 2x = 15x - 2x + 10

2. Bring together like terms

You can then simplify both sides that have like terms.

On the left side 15x and -2x are like terms, so you can put them together:

15x - 2x = 13x.

This is also the case with the right side:

15x - 2x = 13x

When you put them together it gives: 13x + 45 = 13x +45

3. Isolate x

You now want to isolate x so you can subtract 13x on both sides, which ends up giving you 45=45

Since 45=45 is TRUE, then that means that any value of x you put in will always give you the same number on both sides, letting this equation have infinitely many solutions.

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

By using the concept of control chart, it can be concluded that

A large number of plots are on or near the centerline.

Third option is correct.

What is control chart?

Control chart is used to show how a process changes over time.

There are three lines in a control chart.

They are the central line for the average, upper line for the Upper Control Limit (UCL) and a lower line for the Lower Control Limit (LCL)

It is known that the highest performance of a process is obtained when it is between the LCL and the UCL.

That means to get the best result, samples needs to be concentrated near the centerline.

So the third option is correct

A large number of plots are on or near the centerline.

Third option is correct.

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Complete Question

Quality control charts usually have a central line and upper and lower control limit lines. Which of the following is not a reason that the process being monitored with the chart should be investigated?

A sudden and sustained shift in the plots toward the upper or lower control limit

There is an upward trend in the plots

A large number of plots are on or near the central line

A single plot falls outside of the control limits

Answer:

V = 86.06

Step-by-step explanation:

V = u + 9.8t

V = 4.7 + 9.8(17)

V = 86.06

Answer: About 72%

Step-by-step explanation:

It's a conditional probability.

(Number of graduates on financial aid)/(Number of graduates)

\(\frac{1879}{2610} =0.7199\)

0.7199 = 71.99% ≈ 72%

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer:

-6

Step-by-step explanation:

STEP 1= bring all the unknown factors together and the known factors toghether

-2+8=9r-10r

STEP2= SOLVE IT

+6=-1R

thus r= -6

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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Answer:

1 is p

2 is np

3 is p

4 is np

(should be right)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

sorry I don't kwon how to put it in, in explaination

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Since we have the following ratio for the fruits

6:5:3, for apples, oranges, and pears for a total of 14 fruits.

We will have that the number of fruits when total os 42, is the following:

So, the number of apples will be:

The number of Oranges will be:

And the number of pears will be:

And we corroborate by adding the number of fruits and that gives solution 42.

So in the number of pears is of 9 units.

Answer:42

Step-by-step explanation:

Answer:

\((x-6)^2=8\)

Step-by-step explanation:

\(x^2-12x+32=4\)

\(x^2-12x+32+4=4+4\)

\(x^2-12x+36=8\)

\((x-6)^2=8\)

Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

Step-by-step explanation:

b .  v vvhc . fhd

Answer:

hello your question lacks some information hence I will provide a more general answer

answer :

The expression is ;  D = a + ar

Step-by-step explanation:

An expression illustrating the total vertical distance travelled by a body from rest ( "spot it was first sighted" ) as quoted in the question. can be written as

D = a + ar

where D = Total vertical distance travelled

           a = start term ( initial height )

           r = common ratio

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

Part A: 56

Part B: Is explained under where it says step by step

Step-by-step explanation:

Part A: If 62 degrees is on one side would have to add 62 to the other side. 62+62=124 then 180-124=56 degrees.

Answer:

X=53

Step-by-step explanation:

Q is also 62 degrees because they are alternate interior angles. The other part of R is 65 degrees because it is a supplementary angle with 115 degrees. Now if you plug everything in, it will be 62+65+x=180. 127+x=180 and go from there

The two polynomials whose difference is 2x^2 + x + 4 are

6x² + 3x + 5 and 4x² + 2x + 1.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

The difference between the two polynomials is 2x² + x + 4.

The two polynomials are:

6x² + 3x + 5 _____(1)

4x² + 2x + 1 ______(2)

The difference between (1) and (2)

6x² + 3x + 5 - 4x² - 2x - 1

2x² + x + 4

Thus,

The two polynomials are 6x² + 3x + 5 and 4x² + 2x + 1.

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Answer:

36 units squared

Step-by-step explanation:

Since this is kind of a weird shape, we can split it into two smaller shapes, a triangle, and a rectangle.  

The rectangle is 6 units wide, and 4 units long.  Multiply the length and width to get 24 units squared.  

The triangle has a base of 6 and a height of 4, so multiply the base and height, then divide by 2.  6 times 4 is 24 and that divided by 2 is 12.  

Finally add the two areas together.  24+12=36 units squared.

Answer:

36

Step-by-step explanation:

Since the two triangles on the bottom are the same, we can flip one of them over onto the other, and they will make a square. Then the top rectangle is 24, and the bottom new square would be 12 and 24 plus 12 is  36