A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant’s sales each Monday for the first quarter (13 weeks) of the paid advertisement.

Part A: Create a scatter plot to represent the data in the table. Then, draw the line of best fit, going through the points representing weeks 5 and 13. Be sure to label each axis, as well as to include the proper titles for the scatter plot.
Part B: Use the total sales for weeks 5 and 13 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: In terms of the slope of the equation for the lines of best, fit explain whether or not you think the paid advertisement is responsible for the restaurant's increase or decrease in pizza sales during the first quarter. Use complete senteneces in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the paid advertisement for an additional quater, use the equation for the line of best fit to predict the restaurant's sales for the Monday of the 20th week.

Answer:

n

6

Mean

11

Average Absolute Deviation (MAD)

4.6667

Step-by-step explanation:

For questions 1 and 2 options, A and D are correct respectively.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

1. In ∆ABC,

a=10 cm, b=18 cm, c=∠105°

For the given data only one triangle is formed. Option A is correct.

2. In ∆ABC, if <A is obtuse and a<c,

An obtuse angle is an angle more than the 90°.The given condition is wrong. None of the triangle is formed from the given options.

Hence for questions 1 and 2 options A and D are correct respectively.

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[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]

Answer:

Formula for the volume id the octagonal prism .......

Step-by-step explanation:

To calculate the area of octagon ( base area) , multiply the perimeter of the octagon by its apothem and divide by 2 .Then, ti get the volume of the octagonal prism u need to multiply the result by the length of the.prism

The surface area of the cone rounded to the nearest whole number is; 289 cm².

We are given the parameters:

Radius; r = 4 cm

Slant height; l = 19 cm

Let us first calculate the base area;

The base is a circle and the area formula for a circle is;

A = πr²

Thus;

A = π(4 cm)²

A = 50.24 cm²

Lateral area;

The circumference of a circle is given by the formula;

C = 2πr

C = 2(π)(4 cm)

C = 25.12 cm

This circumference is the arc length of the sector

The area of the sector is;

 A = 1/2hs

where;

h is the radius of the sector.

s is its arc length

Thus;

A = ¹/₂(19 cm)(25.12 cm)

A = 238.64 cm²

The total surface area is;

SA = 50.24 cm² +238.64 cm²

S.A = 288.88 cm² ≈ 289 cm²

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Answer:

  289 cm²

Step-by-step explanation:

The net for the surface area of a cone is a circular sector representing the lateral area, together with a circle representing the area of the base. The arc length of the sector is equal to the circumference of the base.

__

The area of the circular base is given by the area formula for a circle:

  A = πr²

For the given radius, the area is ...

  A = (3.14)(4 cm)² = 50.24 cm²

The circumference of the circular base is ...

  C = 2πr = 2(3.14)(4 cm) = 25.12 cm . . . . also the arc length of the sector

The area of the sector is ...

  A = 1/2hs . . . . where h is the radius of the sector, and s is its arc length

  A = (1/2)(19 cm)(25.12 cm) = 238.64 cm²

The total surface area is the sum of the base area and the lateral area:

  SA = 50.24 cm² +238.64 cm² = 288.88 cm² ≈ 289 cm²

The surface area of the cone is about 289 cm².

Answer:

20.93 units cubed

Step-by-step explanation:

[tex]V = \frac{3.14(2)^{2}(5) }{3} \\V = \frac{3.14(4)(5) }{3}\\V = \frac{62.8 }{3}\\V = 20.93[/tex]

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

All the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.

Therefore all the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

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The possible dimension of the third side is 10 units.

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

If two side lengths are given, the third side can be determined using the Pythagoras theorem.

√a² + b ² = c

√6² + 8² = √36 + 64 = 10 units

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Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

[tex](Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C[/tex]

Now, for the two polynomials to be the same we need to have, at the same time

[tex]x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8[/tex]

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.

Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

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monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

Answer:

[tex]measure \: [/tex]

3/50

Step-by-step explanation:

[tex] \sqrt{3 \: is \: a \: formula \: tht \: has \: equation} [/tex]

92-3 ) DEFIND THE "3"

ANSWER: 3/50

Answer:

  (a)  SW/VW

Step-by-step explanation:

In similar triangles ΔTUS and ΔVWS, corresponding angles are congruent. That means angle W will have the same measure and trig function values that angle U has.

The mnemonic SOH CAH TOA reminds you that the cosine ratio in this right triangle is ...

  Cos = Adjacent/Hypotenuse

__

In ΔVWS, the side adjacent to angle W is side SW. The hypotenuse of the triangle is side VW. Then the cosine of interest is ...

  cos(U) = cos(W) = SW/VW

[tex]\text{L.H.S}\\\\=\cot^2 \dfrac{\pi}6 -2\cos^2 \dfrac{\pi}{3}-\dfrac 34 \sec^2 \dfrac{\pi}4-4\sec^2 \dfrac{\pi}6\\\\\\=\cot^2 30^\circ -2 \cos^2 60^\circ- \dfrac 34 \sec^2 45^{\circ} -4 \sec^2 30^{\circ}~~~~~~~;[\pi= 180^{\circ}]\\\\\\=\left(\sqrt 3 \right)^2 -2 \left( \dfrac 12 \right)^2 -\dfrac 34 \left(\sqrt 2 \right)^2 -4 \left(\dfrac 2{\sqrt 3} \right)^2\\\\\\=3-2 \cdot \dfrac 14 - \dfrac 34 \cdot 2 -4 \cdot \dfrac 43\\ \\\\=3-\dfrac 12-\dfrac 32 - \dfrac{16}3\\\\\\[/tex]

[tex]\\=\dfrac{9-16} 3 - \dfrac 42 \\\\\\=\dfrac{-7}{3}-2\\\\\\=\dfrac{-7-6}3\\\\\\=-\dfrac{13}3\\\\\\=-4\dfrac 13 \\\\\\=\text{R.H.S}\\\\\\\text{Proved.}[/tex]

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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Answer:

The answer is 1197.42

Step-by-step explanation:

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

Using it's concept, it is found that the average rate of change for the number of parts that the company produced from day 1 to day 3 is of 87.

It is given by the change in the output divided by the change in input.

In this problem, in 2 days, from day 1 to day 3, the number of parts increased from 66 to 240, hence the rate of change is given by:

r = (240 - 66)/2 = 87.

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1/5×1/5×1/5=1/125

$ give me a dollar $

Answer:

18 inches

Step-by-step explanation:

The most frequent chain length for women's necklaces is 18 inches. This size is appropriate for a lady of medium height and weight.

Answer: The answer is 5+28.

Step-by-step explanation:

First of all, you have to distribute the term in front of the parenthesis into   the term(s) inside of it. In this case, “5-” is not a term because the “-” symbol is following it. However, we can distribute that particular symbol into the parenthesis. We then have 5+ 28 because - x - = +, and 5 x 7 - 5 = 28.

10-1 = 9 feet left

9 x 12 = 108 inches

108 / 8 inches per bow = 13.5 bows

she can make 13 bows

Answer:

  about 1.01 °C per hour

Step-by-step explanation:

We assume the intended temperature function is ...

  t(h) = 18 +4·sin(π/12(h -8))

We are asked for the rate of change when h=9.

__

The rate of change of temperature with respect to time is the derivative of t(h) with respect to h.

  t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))

For h = 9 hours after midnight, the rate of change is ...

  t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3

  t'(9) ≈ 1.01152

The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.

Answer:

[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]

Step-by-step explanation:

General equation for conditional probability

[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]

As we need to find P(A|B) we can rewrite the equation:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

Given:

     [tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]

     [tex]\sf P(B)=\dfrac{5}{6}[/tex]

Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]

Substitute the given values into the formula:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]

Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).

A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.

The three sides of the triangle will be calculated by applying the Pythagorean theorem:-

The sum of the square sides will be equal to the square of the third side.

For sides  (6,6√3, 12)

12² = 6² + (6√3)²

144 = 36 + (36 x 3)

144 = 36 + 108

144 = 144

Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).

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The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

Let A be the event that the person rides the bus to school, then:

P(A) = 75/300

P(A) = 0.25

Let B be the event that the person has 3 or more siblings, then:

P(B) = 24/300 = 0.25

P(A/B)=9/24

P(A/B)=0.375

Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.

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