Complete the equation that can be used to find the final sale price of an item after a 6% markup if the original price was C and the final
price is f.
HELP PlSS

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

2°
one solution
(a) The system has no solution

Step-by-step explanation:

Let the smaller angle be x. According to the given condition, the larger angle is forty-four times the smaller angle, which is 44x. Since the angles are complementary, their sum is 90°.

x + 44x = 90

45x = 90

x = 90/45

x = 2

So, the smaller angle is 2°, and the larger angle is 44 times that, which is 88°.

The given system of equations is:

20y = -24x + 40

6x + 5y = 10

To determine the nature of the system, we can compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

20y = -24x + 40

Dividing by 20, we get: y = (-24/20)x + 2

6x + 5y = 10

Dividing by 5, we get: (5/5)y = (6/5)x + (10/5)

y = (6/5)x + 2

Comparing the slopes, we see that they are equal (both are 6/5), and the y-intercepts are also equal (both are 2). So, the system has infinitely many solutions. The correct answer is (b) The system has infinitely many solutions.

The given system of equations is:

19 = 4y + 12x

12x + 4y = 15

To determine the nature of the system, we can again compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

19 = 4y + 12x

Dividing by 4, we get: (1/4)(4y + 12x) = 19/4

y + 3x = 19/4

12x + 4y = 15

Dividing by 4, we get: (1/4)(12x + 4y) = 15/4

3x + y = 15/4

Comparing the slopes, we see that they are equal (both are 1/3), but the y-intercepts are not equal. So, the system has no solution. The correct answer is (a) The system has no solution.

Answer:

175

Step-by-step explanation:

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

7+(-3)=4

7-3=4

hence shown so missing number is 7

Answer:

2.88 markup per rose

Step-by-step explanation:

12.24/12 = 1.02 per rose

46.8/12 = 3.9 per rose

3.9 - 1.02 = 2.88 markup per rose

Answer:

Step-by-step explanation:

This is a proof.  You need to use theorems and definitions to get to your answer.  You cannot make any assumptions without a definition for it.  You can you use the information that you have proven from previous statements.

m<1 = m<2                               Given

QP = QR                                   Given

m<3 = m<4                               Vertical Angles

m<1 + m<3 + m<P = 180          Triangle Sum Theorem

m<P = 180 - m<1 - m<3            Subtraction

m<P = 180 - m<2 - m<3           Substitution

m<2 + m<4 + m<R = 180         Triangle Sum Theorem

m<R = 180 - m<2 - m<4           Subtraction

m<R = 180 - m<2 - m<3           Substitution

m<P = m<R                               Transitive

m<Q = m<Q                             Reflexive

ΔQTP ≅ ΔQTR                        ASA

We proved that the triangles are congruent by proving an angle, a side and another angle are the same.

<Q and <Q same

QR and QP same, this was give

<R = <P same through proof    

Answer:

1 gal 9 qt

Step-by-step explanation:

Answer:

1.75 US Gallons

Step-by-step explanation:

(3 gal 2 qt) - (1 gal 3 qt) =

1.75 US gallons

The surface area of the triangular prism is equal to 67.5 square inches.

In this problem we have the representation of a triangular prism, whose surface area is the sum of the areas of a square, two rectangles and two triangles. The area formulas for rectangles, squares and triangles are, respectively:

Rectangle

A = w · l

Square

w = l

Triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the surface area of the triangular prism:

A = (4 + 1 / 2 in)² + 2 · (4 + 1 / 2 in) · (3 + 3 / 4 in) + 2 · 0.5 · (4 + 1 / 2 in) · (3 in)

A = 67.5 in²

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Answer:

a) 3:4

b) It is proportional because for the glacier advances 3 feet every 4 days in both January and February

Hope this helps!

Answer:

m<20

Step-by-step explanation:

m must be less than 20

m < 20

or

20 > m

Answer:

\(\boxed{k = -6}\)

Step-by-step explanation:

\(13 +\frac{k}{3} =11\)

→ Multiply everything by 3

\(39 + k = 33\)

→ Minus 39 from both sides to isolate k

\(k = -6\)

Answer: 41

Step-by-step explanation:

This shows that the Probability distribution of the scores of a randomly selected senior executive is correct.

Probability distribution for the job satisfaction score of a randomly selected senior executive

A probability distribution is a table of all possible values of a variable (like scores) and the likelihood of their occurrence.

The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives are given as:Job Satisfaction Score    IS Senior Executives (%)1 5%2 9%3 38%4 42%5 6%

To determine the probability distribution of the scores for a randomly selected senior executive, we convert the percentage distribution into a probability distribution by dividing the percentage frequency of each score by 100. Then, we add up the probabilities of all scores to verify that they sum up to 1 (or 100%).

Therefore, the probability distribution is:

Job Satisfaction Score     Probability of Occurrence1                                    

 0.052                                      0.093                              

  0.384                                      0.425                                      0.06

The sum of the probabilities of all scores is 0.05 + 0.09 + 0.38 + 0.42 + 0.06 = 1.00 or 100%.

This shows that the probability distribution of the scores of a randomly selected senior executive is correct.

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The two triangles have two pairs of congruent angles that are known only, which is not enough to prove they are congruent. Hence, they are not congruent.

If two triangles have the same size and the same shape, then it implies that all its corresponding angles and corresponding pairs of sides are equal to each other, which means that the triangles are congruent triangles.

Given the two triangles in the image above, we only know that they have two pairs of corresponding angles. This is not enough to prove that they are congruent triangles by ASA, SSS, SAS, nor AAS.

Therefore, they are not congruent.

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Answer:

-n-2

Step-by-step explanation:

First of all, 2(-2n-1) can simplify to -4n-2 with distributive property.

3n+(-4n-2)= 3n-4n-2=-n-2

Answer:

-n - 2

Step-by-step explanation:

\(3n + 2( - 2n -1)\)

\(2( - 2n - 1) = - 2 \times 2n - 2\)

\( - 4n - 2 = 3n - 4n - 2\)

\( = - n - 2\)

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Just 1 (one) scoop of ice cream can melt in the cone and not overflow.

To decide the number of scoops of ice cream that may melt within the cone without flooding, we got to calculate the accessible space interior of the cone.

The volume of a cone can be calculated utilizing the equation V = (1/3)πr^2h, where r is the sweep and h is the stature. In this case, the sweep is half of the breadth, so r = 4.5 cm and h = 15 cm.

V = (1/3)π(4.5 cm)^2(15 cm) = 95.04 cm^3 (balanced to two decimal places)

The volume of each scoop of ice cream can be calculated utilizing the condition for the volume of a circle, V = (4/3)πr^3, where r is the span. In this case, the span is half of the breadth, so r = 2.5 cm.

V_scoop = (4/3)π(2.5 cm)^3 ≈ 65.45 cm^3 (adjusted to two decimal places)

To discover the number of scoops that may dissolve within the cone without flooding, we isolate the volume of the cone by the volume of each scoop:

Number of scoops = V_cone / V_scoop ≈ 95.04 cm^3 / 65.45 cm^3 ≈ 1.45

Since we cannot have a division of a scoop, the most extreme number of scoops that may liquefy within the cone without flooding is 1. In this manner, as it were one scoop of ice cream can be suited within the cone without spilling over.

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Answer:

8 cows survived

Step-by-step explanation:

13-x=5

-x=5-13

-x=-8

x=8

give brainliest please!

hope this helps :)

Answer:

all of them

Step-by-step explanation:

a litghing bolt isnt strong inof to kill a cow

Answer:-3x - 12 + 5x

Step-by-step explanation:

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

-24+36=-12.................

Answer: 16.5%

Step-by-step explanation:

given data:

estimated circumfrence of the earth = 250,000 stadia.

Actual value = 46,620km

expected Value = 40,030.3km

solution:

percentage error = actual value – expected value/ expected value * 100

= 46,620 – 40,030.3 / 40,030.3 * 100

= 6589.7 / 40,030.3 * 100

= 0.16462 * 100

= 16.5%

percentage error is 16.5%

The total cost, in dollars, of Stephens fencing is $3.38

What is the total feet of wire purchased?

The 4 1/2 feet of wire fencing purchased is the same 4.50 feet since 1/2 is the same as 0.5, based on the price and quantity relationship, the total cost incurred by Stephen is the cost per foot of $0.75 multiplied by the quantity bought purchased, that is 4.5 feet.

total cost=cost per foot*number of feet purchased

cost per foot=$0.75

number of feet purchased=4.5

total cost=$0.75*4.5

total cost=$3.38

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The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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Answer:

=

Step-by-step explanation:

Because |-4| is basically 4 since its the absolute value of that..

Answer:

If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.

Step-by-step explanation:

Answer:

false they are measuring the amount the sold

Answer:

that the answer is 87 and 100

i hope that i help u

Answer:

\( \boxed{9} < \sqrt{99} < \boxed{10}\)

Step-by-step explanation:

\( \because \: \sqrt{99} = 9.94987437 \\ \\ \therefore \: \boxed{9} < \sqrt{99} < \boxed{10}\)