Which equation represents a line perpendicular to the line shown on the graph?

On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
y = one-half x minus 2
y = negative one-half x + 3
y = 2 x + 1
y = negative 2 x + 4

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

88

Step-by-step explanation:

Answer:

x = 13

m<RST = 155°

m<RSU = 102°

Step-by-step explanation:

m<RST = (12x - 1)°

m<RSU = (9x - 15)°

m<UST = 53°

m<UST + m<RSU = m<RST (angle addition postulate)

53 + (9x - 15) = (12x - 1) (substitution)

Solve for x

53 + 9x - 15 = 12x - 1

53 - 15 + 9x = 12x - 1

38 + 9x = 12x - 1

Subtract 12x from each side

38 + 9x - 12x = 12x - 1 - 12x

38 - 3x = - 1

Subtract 38 from each side

38 - 3x - 38 = -1 - 38

-3x = -39

Divide both sides by -3

x = 13

m<RST = (12x - 1)°

Plug in the value of x

m<RST = 12(13) - 1 = 156 - 1 = 155°

m<RSU = (9x - 15)°

m<RSU = 9(13)x - 15 = 117 - 15 = 102°

The measures of each angle are:

m<RSU = 102°

m<RST = 155°

m<UST = 53°

The given parameters are:

m<RST  =  (12x  -  1)°

m<RSU =  (9x - 15)°

m<UST =   53°

Note that:

m<RST  =  m<RSU  +  m<UST

Substitute m<RST  =  12x  -  1, m<RSU =  9x - 15, and m<UST =   53 into the equation above in order to solve for x

m<RST  =  m<RSU  +  m<UST

12x - 1  =  9x - 15   +  53

12x - 9x  =  -15 + 53 + 1

3x   =  39

x  =  39/3

x  =  13

To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1

m<RST = 12(13) - 1

m<RST = 155°

To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15

m<RSU = 9(13) - 15

m<RSU = 102°

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Answer:

Suppose that a data set has a minimum value of 18 and a max of 83 and that you want 5 classes. Explain how to find the class width for this frequency table. What happens if you mistakenly use a class width of 13 instead of 14?

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

ABC is a right angle so ABD and DBC are complementary angles and their sum is equal to 90:

x + 55 = 90 subtract 55 from both sides

x = 25

Answer:

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

B. x = 0.9

C. x = 1.9

D. x = 1.1

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

\(\\ \sf\longmapsto 0.775\)

\(\\ \sf\longmapsto 0.77\)

\(\\ \sf\longmapsto 0.8\)

Option A is correct

Answer:

Solution: (3,5)

Step-by-step explanation:

y = x + 2 and

y = - x + 8

y = y

x + 2 = -x + 8

x + x = 8 - 2

2x = 6

x = 6/2

x = 3

Substitute x for 3 in one of the equations to find y.

y = 3 + 2

y = 5

Answer:

C. 181.7 miles

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

• Letter A)

If 'y' is the age of Julio's father and 'x' the age of Julio, the equality will be:

• Letter B)

To solve the equation we have to consider the second part of the exercise: "The sum of their ages is no less than 50". This means:

Now we can put the value of y that we have found in the letter A to find the value of 'x':

Then the youngest age that Julio can be is 12.5 years! If x is equal to 12.5, Julio's father will have:

• Letter C)

The solution tells that if Julio has 12.5 years old, his father will have 37.5 years old!

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Transforming an object involves transforming all its points. Types of transformation is reflection, rotation, translation and dilation.

Rigid transformations are transformations that preserves the size and shape of an object. There are three types of rigid transformation which are:

Dilation is the enlargement or reduction of shape of an object. Dilation is not a rigid transformation because it does not preserve the shape or size of the object.

Answer:

line AC

Step-by-step explanation:

because those are two points along line r

it can't be line AB because that would make it a line segment

Answer:

Line ac

Step-by-step explanation:

Answer:

It would take 16 years and 64 days until the investment reaches about $ 17323

Step-by-step explanation:

Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:

8,500 x (1 + 0.045 / 1) ^ X = 17,323

8,500 x 1,045 ^ X = 17,323

1,045 ^ X = 17,323 / 8,500

1.045 ^ X = 2.038

1,045 ^ 16,175 = 2,038

X = 16.175

1 = 365

0.175 = X

0.175 x 365 = X

63.875 = X

Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323

The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

\(P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)\)

Lets suppose here that:

Suppose A' and B' are their complementary events, then we have:

Then, by the given data, we have:

\(P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32\)

We've to find \(P(A' | B')\)

Using chain rule, we have:

\(P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}\)

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

\(P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821\)

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

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Answer:

Nina will finish first.

Step-by-step explanation:

Let's calculate how many pages each person reads in one day:

Then we divide the number of pages of each book by reading speed of the respective person:

Thus Nina will take the shortest time finishing her book.

Answer:

Step-by-step explanation:

the amswer is     nina  

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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Answer: Confounding Variable

Step-by-step explanation:

Answer: Confounding variables

Step-by-step explanation:

Took exam and got it correct

Answer:

The equation for the line is y = 2/5x + 24/5

Step-by-step explanation:

If you need the exact points, go to m4thway and plug that equation in.

Answer: I prefer to find the area of the base first and then multiply by the height

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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Answer:

Step-by-step explanation:

7h - 5 = 4

    7h = 9

      h = 9/7

21(9/7) - 15 = 12

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

In order to find the correct option, let's calculate the value of x in each option and round it to the nearest hundredth:

Therefore the correct option is the first one.

Answer:

x  =  80000/L    f

Step-by-step explanation:

When using only three sides for fencing a rectangular area, sides will be

"x "  and   "y "      x = 2*y      x  is the largest side of the rectangular area

                                             we only fence one y side ( the other side is a river

So the perimeter is  L = x  + 2*y      or   L = 4*y

On the other hand if now the area will be 20000 f²

A = x*y = 20000       ⇒    y  =  20000/ x

As the fence material is the same as that of the maximum area

L =  4*y          L = 4* 20000 / x

L*x = 80000

Then   x  =  80000/L

Where L is the quantity of fencing material

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

\((x-h)^2=4p(y-k)\)       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

\((h,k+p)=(0,-12)\)

\(h=0\)

\(k+p=-12\)         ...(ii)

Directrix is y = 12.

\(k-p=12\)      ...(iii)

Adding (ii) and (iii), we get

\(2k=0\)

\(k=0\)

Putting k=0 in (ii), we get

\(0+p=-12\)

\(p=-12\)

Putting h=0, k=0 and p=-12 in (i).

\((x-0)^2=4(-12)(y-0)\)

\(x^2=-48y\)

\(-\dfrac{1}{48}x^2=y\)

Therefore, the required equation of parabola is \(y=-\dfrac{1}{48}x^2\).

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer: It's a 80% increase

Step-by-step explanation:

If initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.

Given that the initial deposit is GBP 3000 and the rate is 3.5%.

We are required to find the number of years after which the amount will reach to GBP 9000.

Compound interest is basically the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Amount after compounding=P\((1+r)^{n}\), where P is principal ,r is rate of interest and n is number of years.

The number of years can be calculated as under:

9000=3000\((1+0.035)^{n}\)

3=\((1.035)^{n}\)

\((1.035)^{32}\)=\((1.035)^{n}\)

By comparing both sides,we will get n=32.

Hence if initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.

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