PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Zoom in a bit, the answers are a tad glitched ):

PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER Zoom In A Bit, The Answers Are A Tad Glitched

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the coefficients of the polynomial and evaluating for h = - 3

- 3 | 1   - 4   - 9   36

      ↓   - 3   21   - 36

      -------------------------

       1   - 7   12   0 ← remainder

Since remainder is 0 then (x + 3) is a factor, so

y = (x + 3)(x² - 7x + 12)

To factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)

The factors are - 4 and - 3, since

- 4 × - 3 = + 12 and - 4 - 3 = - 7, then

x² - 7x + 12 = (x - 4)(x - 3), and

y = (x + 3)(x - 4)(x - 3)


Related Questions

A rabbit and a turtle were to start a race at the same place. the rabbit was feeling very confident and slept for 8 hours before starting. the turtle ran at a pace of 1 mile per hour, and the rabbit ran at 5 miles per hour. the race was a distance of 10 miles. who won the race?

Answers

Answer:

Step-by-step explanation:

D=RT

10=1T

T=10 HOURS FOR THE TURTLE.

10=5(T-8)

10=5T-40

5T=10+40

5T=50

T=50/5

T=10 HOURS FOR THE RABBIT.

LOOKS LIKE A TIE .

What questions can you ask yourself as you decide on a career field?
What do I love to do?
What brings me joy?
What am I naturally good at?
All of the above

Answers

Answer:

What do I love to do?

What brings me joy?

What am I naturally good at?

Answer is all of the above - last choice

All of the above ! This will help you in choosing a career and what field you would want to work in ! Remember do something you like

How do you evaluate the limit?

Answers

Answer:

Step-by-step explanation:

First of all the answer.

[tex]\lim_{n \to -\infty}2^x= 1/ \lim_{n \to \infty}1/2^x = 0[/tex]

[tex]\lim_{n \to -\infty} 1-2^x = 1[/tex]

This approaches 0/1 = 0

The graph is included to show that this is the answer I get.


At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Wednesday, 173tickets were sold for a total sales of $1345.00. How many child tickets were sold that day?

Answers

Answer: 76 child tickets were sold that day.

Step-by-step explanation:

You need to set up a system of equations.

Let be "c" the number of child tickets sold that Wednesday and "a" the number of adult tickets sold that Wednesday.

Then:

[tex]\left \{ {{a+c=173} \atop {9.40a+5.70c=1345.0}} \right.[/tex]

Using the Method of Elimination, you can multiply the first equation by -9.40, then add both equations and finally solve for "c":

[tex]\left \{ {{-9.40a-9.40c=-1626.2} \atop {9.40a+5.70=1345.0}} \right.\\..................................\\-3.7c=-281.2\\\\c=\frac{-281.2}{-3.7}\\\\c=76[/tex]

Find the next term of the arithmetic sequence shown. 23, 28, 33, 38, . . .

A) 42
B) 43
C) 45
D) 48

Answers

ANSWER

B) 43

EXPLANATION

The given arithmetic sequence is 23, 28, 33, 38, . . .

We can observe the following pattern,

23+5=28

28+5=33

33+5=38

To obtain the subsequent terms, we add 5.

Therefore the next term is

38+5=43

(25 points)


Mr. Price earns $350 per week working in an appliance store. In addition, he earns 3% commission on all of his sales.


Last week, he sold $3, 800 worth of appliances.


What was Mr. Price's total income for the week?


A) $114


B) $236


C) $464


D) $556

Answers

Answer:

c

Step-by-step explanation:

commission is basically 3 percent of what he sells he gets, sooooo 3 percent of 3800 is 114 (3800 × .03 because change the percent to decimal) and add it to his pay :)

Answer:

D

Step-by-step explanation:

solve the equation32x – 1 = 16x + 4
PLEASE HELP:(

Answers

Answer:

x = 5/16

Step-by-step explanation:

"Solving this equation" means determining the x value that makes the equation true.  Since it's a linear equation, there can be only one solution.

Starting with 32x – 1 = 16x + 4, subtract 16x from both sides, obtaining:

16x - 1 = 4

and then add 1 to both sides, obtaining 16x = 5.  Then x = 5/16.

You select a letter randomly from a bag containing the letters s, p, i, n, n, e, and r. find the probability of selecting an s. description

Answers

Answer:

1/7

Step-by-step explanation:

Answer:

i think it would be 1/7 also

Step-by-step explanation:

On the first day of the month, John counted his money and found he had 28.35. Since then, he has received an additional 17.26 from the jobs he does after school. How much money does he have now

Answers

Answer: He has 45.61

Step-by-step explanation:The answer is 45.61 because you add the decimals, 28.35+17.26, then you aline the decimal points and add, then get 45.61

1 1

28.35

+ 17.26

45.61

Total money John has now is 45.61.

On the first day of the month, John had $28.35 and received an additional $17.26.

To find out how much money John has now, you need to add the initial amount to the additional money he received. Therefore, John now has

28.35 + 17.26 = 45.61 money

Linda received the following scores on her essay tests.

64, 65, 63, 66, 60, 65, 66, 68, 69, 66, 63

What is the mean of her scores?

A.64.5
B.65
C.65.5
D.66

Answers

The answer to your question is B. 65

Answer:

b

Step-by-step explanation:

you add them all together and divide 11 because there are 11 numbers.

i used to have problem on mean, median, and mode too.

Find a cubic function with the given zeros. 7, -3, 2 (1 point)

Answers

ANSWER

[tex]f(x) =x^3-6x^2-13x+42[/tex]

EXPLANATION

The zeros of the cubic function is given as:

x=7,x=-3,x=2

This implies that, x-7,x+3,x-2 are factors of the given cubic polynomial function.

We can write the completely factored form as a function of x to get:

[tex]f(x) = (x - 7)(x + 3)(x - 2)[/tex]

We expand to get:

[tex]f(x) = (x - 7)(x^2+ x-6)[/tex]

[tex]f(x) =x^3-6x^2-13x+42[/tex]

This is a cubic function because the highest degree is 3.

a candle maker has 301.59 cubic centimeters (cm3) of liquid wax to make cone shaped candles. Each Candle has a circular base with a diameter of 3 cm and a height of 5 cm. what is the maximum number candles that can be made from the liquid wax?


A. 6

B. 7

C. 25

D. 26

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=5 \end{cases}\implies V=\cfrac{\pi (1.5)^2(5)}{3}\implies V=\cfrac{11.25\pi }{3} \\\\\\ V= 3.75\pi \implies V\approx 11.78~cm^3\qquad \leftarrow \textit{for one candle} \\\\\\ \stackrel{\textit{how many times does 11.78 go into 301.59?}}{301.59\div 11.78\implies 26}\qquad \leftarrow \textit{rounded up}[/tex]

The volume of the cone is one-third of the product of its base area and its height. The maximum number of candles that can be made from the liquid wax is 25.

What is the volume of a cone?

The volume of the cone is one-third of the product of its base area and its height. It is given by the formula,

The Volume of Cone = (1/3) × π × (d/2)² × h

The volume of wax that is needed to make a single candle with a diameter of 3 cm and height of 5 cm is,

The Volume of Cone = (1/3) × π × (d/2)² × h

The Volume of Candle = (1/3) × π × (3/2)² × 5 = 11.78 cm³

The total wax available is 301.59 cm³, while the amount of wax needed to make a candle is 11.78 cm³, therefore, the number of candles that can be made with the total wax is,

The Number of candles = (301.59 cm³/ 11.78 cm³) = 25.5999

Since a half candle can not be produced, therefore, the maximum number of candles that can be made from the liquid wax is 25.

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Solve 8 sin ( 5 x ) = 3 for the two smallest positive solutions a and b, with a < b

Answers

The two smallest positive solutions, with a < b, are approximately

x ≈ 0.384 and x ≈ 1.64.

We have,

Isolate the sine function by dividing both sides by 8.

sin(5x) = 3/8

The inverse sine function (also called arcsin) is on both sides of the equation.

5x = arcsin(3/8).

Divide both sides by 5.

x = (1/5) arcsin(3/8)

Now,

arcsin(3/8) is approximately 0.4115.

So,

x = (1/5) * 0.4115

x = 0.384.

Since the sine function repeats itself every 2π radians, we add multiples of 2π/5 to the solution to find other valid values of x.

The second smallest positive solution

x = 0.384 + (2π/5) = 1.64.

Therefore,

The two smallest positive solutions, with a < b, are approximately

x ≈ 0.384 and x ≈ 1.64.

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Final answer:

The equation 8 sin(5x) = 3 is solved by isolating the variable term, using inverse sine to get an angle, and considering the period of the sine function when finding additional solutions.

Explanation:

To solve the equation 8 sin (5x) = 3, we first isolate the term involving the variable 'x'. Start by dividing both sides by 8. We get sin(5x) = 3/8.

The inverse sine (also known as arcsin or sin^-1) is used to get the angle whose sine is 3/8. So we have 5x = sin^-1(3/8).

To solve for 'x', we then divide both sides by 5: x = sin^-1(3/8) / 5.

This value of 'x' is a solution, but sine function repeats every 2π intervals, so we add multiples of 2π/5 to 'x' to get additional solutions.

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Divide and write in simplest form

3 1/3 divided by 2 3/5

Answers

Answer:

Step-by-step explanation:

If we change those mixed fractions to improper we will have a much easier time with them:

[tex]\frac{\frac{10}{3} }{\frac{13}{5} }[/tex]

Now that looks horrible.  The rule for dividing fractions by fractions is a simple one, thankfully.  Bring the bottom fraction up next to the top fraction, then flip it upside down and change the sign to multiplication:

[tex]\frac{10}{3}[/tex]×[tex]\frac{5}{13}[/tex]

Multiply straight across the top and straight across the bottom to get

[tex]\frac{50}{39}[/tex]

Depending upon what your teacher calls "simplest form", this form may be the simplest, or the mixed fraction may be the simplest.  The mixed fraction equivalent to this improper is

[tex]1\frac{11}{39}[/tex]

the surface area of the figure below is 50.80m^2 True or False

Answers

For this case we have that by definition, the surface area of a cone is given by:

[tex]SA = \pi * r * s + \pi * r ^ 2[/tex]

Where:

A: It's the radio

s: It's the slant

Substituting according to the data we have:

[tex]SA = \pi * 2.1 * 5.6 + \pi * (2.1) ^ 2\\SA = 36.9264 + 13.8474\\SA = 50.7738 \ m ^ 2[/tex]

If we round:

[tex]SA = 50.8 \ m ^ 2[/tex]

Answer:

True

A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or Too Short thus making them unusable. Estimate the number of unusable bolts and a production of 17,000 bolts.


A. 1,610 Bolts

B. 2,550 Bolts

C. 2,140 Bolts

D. 2,260 Bolts


I got D. I just need to be sure it is the right answer.

Answers

Answer:

B

Step-by-step explanation:

30 are unusable in 200. So how many are unusable in 17,000??

We can set up a ratio and figure out the answer right away! Let x be the number of unusable bolts in 17,000, so we can write:

[tex]\frac{30}{200}=\frac{x}{17,000}\\200x=30*17000\\200x=510,000\\x=\frac{510,000}{200}\\x=2550[/tex]

THus, number of unusable bolts is 2550. B is right.

After a group of 24 parts were tested. 5 were found defective. About what percent of the parts were defective

Answers

Answer:

20.8%

Step-by-step explanation:

5/24= defective

^divide, and multiply by 100 to get percent

:)

The required percentage of defective parts is 20.8%.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

After a group of 24 parts was tested. 5 were found defective.
The required percentage of the defective parts is given as,
= 5 / 24 × 100%
= 0.208 × 100%
= 20.8%

Thus, the required percentage of defective parts is 20.8%.

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The dimensions of a rectangular garden were 5m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m^2. Find the dimensions of the new garden.

Answers

Here is the set up:

We know the given dimensions are increased by the same number.

Let x be that number.

The garden is a rectangle.

Area = length times width.

5m = 5 meters

12m = 12 meters

Area is 120 meters^2.

Here is your equation:

120 = (5 + x)(12 + x)

Take it from here.

In a plane, if a line is _____ to one of two parallel lines, then it is perpendicular to the other.

a. parallel
b. perpendicular
c. skew
d. intersecting

Answers

Answer:

Perpendicular

Step-by-step explanation:

Think of a ladder.  It has 2 long sides that are parallel to each other.  If a step is perpendicular to one long side then it is perpendicular to the other long side BECAUSE the 2 long sides are parallel to each other.

In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

In a plane, two lines which are parallel exist in the same axis.

In essence, any line which is perpendicular to one of two parallel lines is also perpendicular to the other.

This concept is evident in the model of ladders, where each of the vertical lines are perpendicular to the parallel step lines(horizontal lines).

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A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth. The probability that both are silver hoop earrings is .

Answers

Answer:

fraction is 2/4

Step-by-step explanation:

Find the coordinates of the point on the directed segment from (3,2) to (6,8) that divides into a ratio of 1:3.

a. (4.5, 5.5)
b. (5.25, 6.25)
c. (3.75, 3.5)
d. (4,4)​

Answers

Answer:

c. (3.75, 3.5)

Step-by-step explanation:

Let's call the given segment AB, and the dividing point P. Then you want AP:PB = 1:3.

There are a couple of ways you can get there.

1. Recognize that when you subtract the coordinates of A from P, the difference will be 1/4 of the result of subtracting A from B. That is, ...

P-A = (1/(1+3))·(B-A)

We can see that B-A = (6,8) -(3,2) = (3, 6), so 1/4 of that is (3/4, 3/2) = (0.75, 1.5). Adding these values to the coordinates of A gives ...

P = A + (.75, 1.5) = (3.75, 3.5)

__

2. Finish working out the equation above to solve for P:

4(P -A) = B -A

4P = B + 3A

P = (3A + B)/4 . . . . . note the multiplier for A is the relative length of PB and vice versa

P = (3(3, 2) +(6, 8))/4 = (15/4, 14/4) = (3.75, 3.5)

_____

Comment on choosing an answer

You only need to determine one of the coordinates in order to pick the correct answer. Finding both coordinates can help give you assurance that you have worked it out correctly.

It’s simple but my teacher has “33 ft” as an answer and Idk why...

Answers

Answer:

  33 ft

Step-by-step explanation:

The distance of interest is apparently not the straight-line distance from the top of the vertical ladder to the ground (20 ft), but the length of the arc the top of the ladder makes as it rotates. That arc length (s) is given by ...

  s = r·θ . . . . . where θ is the angle in radians subtended by the arc

Here, the radius is 20 ft, and the angle is the supplement of 85°, or 95° = (95/180)π radians.

  s ≈ (20 ft)·(1.65806 radians) ≈ 33.16 ft ≈ 33 ft

(3^2)^6 = _____

A) 3^-4
B) 3^4
C) 3^8
D) 3^12

Answers

Hello!

The answer is:

The correct option is:

D) [tex](3^{2})^{6}=3^{12}[/tex]

Why?

To solve the problem, we need to remember the power of a power property, it's defined by the following way:

[tex](a^{m})^{n}=a^{m*n}[/tex]

When we have a power of a power, we must keep the base and then, the new exponent will be the product between the two original exponents.

So, we are given the expression:

[tex](3^{2})^{6}[/tex]

Then, calculating we have:

[tex](3^{2})^{6}=3^{2*6}=3^{12}[/tex]

Hence, we have that the correct option is:

D) [tex](3^{2})^{6}=3^{12}[/tex]

Answer:

The correct answer is option D).  3^12

Step-by-step explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

It is given that (3^2)^6

To find the correct option

(3^2)^6 can be written as, (3²)⁶

By using above identities,  

(3²)⁶ = 3⁽² ˣ ⁶⁾

 = 3¹²

Therefore the correct answer is option D).  3^12

A science teacher needs to choose 12 students out of 16 to serve as peer tutors how many different ways can the teacher choose the12 students

Answers

He can ask the student to raise their hands and pick them

the teacher can ask them to pick the closest number. the teacher can choose the students with the highest grades.

The population of California is approximately 3.8 × 107, and the population of Nebraska is approximately 1.9 × 106. Which state has the larger population, and by how many times is its population larger than the other state’s?

Answers

Answer:

california by 205.2

Step-by-step explanation:

3.8 times 107=406.6-California

1.9 times 106=201.4-Nebraska

205.2

Answer: The Population of California is larger than the population of Nebraska by 20 times

Step-by-step explanation:

Given

Population of California , [tex]P_C=3.8\times 10^{7}[/tex]

and population of Nebraska, [tex]P_N=1.9\times 10^{6}[/tex]

From above data it is clear that the population of California is larger than the population of Nebraska

And Ratio, [tex]\frac{P_C}{P_N}=\frac{3.8\times 10^{7}}{1.9\times 10^{6}}=\frac{38}{1.9}=20[/tex]

Thus the population of California is larger than the population of Nebraska by 20 times

6.
What is the value of x?




24


30


40


38

Answers

You must do pythagorean theorem:

a^2 + b^2 = c^2

a and b are the legs and c is the hypotenuse

In this triangle...

a = 16

b = x

c = 34

so...

16^2 + x^2 = 34^2

256 + x ^2 = 1156

x^2 = 900

Then to isolate x square root both sides. This will get rid of the square on the x value.

This will give you...

30

x is 30

Hope this helped!

Answer: second option

Step-by-step explanation:

You need to apply the Pythagorean theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a"  is the hypotenuse and "b" and "c" are the legs of the right triangle.

In the figure you can observe the value the hypotenuse of the right triangle and the value of one of this leg. Then, you need to solve for the other leg from [tex]a^2=b^2+c^2[/tex]:

[tex]b^2=a^2-c^2[/tex]

[tex]b=\sqrt{a^2-c^2}[/tex]

Substituting values, you get that the value of "x" is:

 [tex]b=\sqrt{(34)^2-(16)^2}[/tex]

 [tex]b=30[/tex]

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this performance, what is the probability that they both make their next shot?

Answers

Answer:

[tex]\dfrac{14}{75}[/tex]

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

[tex]\dfrac{6}{15}=\dfrac{2}{5}[/tex]

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be  successful is

[tex]\dfrac{7}{15}[/tex]

The probability that they both make their next shot successfully is

[tex]\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}[/tex]

Which shows reflection

Is it c?

Will give BRAINLIEST. Can't see these very well

Answers

Answer:

B

Step-by-step explanation:

You could take these images (if you can visualize it)

And paste it into SM paint, and then reflect it.

But, if you look closely, A is just the notes higher, but not reflected, or changed in any other way.

C the second note is lower in the reflection. The notes shouldn't change in a reflection. Just the order.

If Ruth contributed $10,000 toward the total group investment of $200,000 for the purchase of a seafood restaurant, what percentage of the company does she own?



Answers

Answer:

20 %

Step-by-step explanation:

10000/200000

The percentage of the company she owns is equivalent to 5%.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that if Ruth contributed $10,000 toward the total group investment of $200,000 for the purchase of a seafood restaurant.

Assume that the percentage of the company she owns is equivalent to [x] percent. So, we can write -

10000 = [x]% 0f 200000

10000 = [x]/100 × 200000

10000 = [x] × 2000

[x] = (10000/2000)

[x] = 5%

Therefore, the percentage of the company she owns is equivalent to 5%.

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△WKT∼△NRP


What is PR?

Enter your answer, as a decimal, in the box.


_____ in.

Answers

Answer:

The answer is 31.5

Step-by-step explanation:

Similar triangles have their corresponding sides to be in equivalent ratios

The length of PR is 31.5 inches

△WKT∼△NRP  means that, the following sides are similar

WK and NRWT and NPTK and PR

So, we have the following equivalent ratio

[tex]WK : TK = NR : PR[/tex]

From the complete question, we have the following parameters:

WK = 14TK = 18NR = 24.5

So, the ratio becomes

[tex]14 : 18 = 24.5 : PR[/tex]

Express the ratio as fraction

[tex]\frac{18}{14}= \frac{PR}{24.5 }[/tex]

Multiply both sides by 24.5

[tex]\frac{18}{14} \times 24.5= PR[/tex]

This gives

[tex]\frac{441}{14} = PR[/tex]

Divide 441 by 14

[tex]31.5 = PR[/tex]

Rewrite the above equation as

[tex]PR = 31.5[/tex]

Hence, the length of PR is 31.5 inches

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