PLEASE HELP DUE SOON!!!​

PLEASE HELP DUE SOON!!!

Answers

Answer 1

The volume of blocks = 27n³cm3.

volume of the cube box = 216n⁹ cm3.

Solution:

Here given,

6n³cm is the length of the cube-shaped box's side.

3n cm is the side length of the cube-shaped blocks.

We must calculate the volume of the box and the blocks.

The formula for cube volume is,

S³ = V

where s is the cube's side length

by substituting the values,

(6n³)³ cm3 box volume

= 216 n⁹ cm³

(3n)³ cm3 is the volume of the blocks.

= 27n³ cm³

As a result, the volume of the blocks is 27n³cm3 and the volume of the box is 216 n⁹ cm³.

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Answer 2

Answer:

A)  Volume of one block = 27n³  cm³

     Volume of the box = 216n⁹  cm³

B)  8n⁶ blocks will fit in one box.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $V$ is the volume. \\\phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]

Part A

The side length of the cube-shaped block is 3n cm.

Substitute the given side length into the formula to find the volume of the block:

[tex]\begin{aligned}\implies \textsf{Volume of one block}&=(3n)^3\\&=3^3 \cdot n^3\\&=27n^3\;\sf cm^3\end{aligned}[/tex]

The side length of the cube-shaped box is 6n³ cm.

Substitute the given side length into the formula to find the volume of the box:

[tex]\begin{aligned}\implies \textsf{Volume of one box}&=(6n^3)^3\\&=6^3 \cdot (n^3)^3\\&=216n^9\; \sf cm^3\end{aligned}[/tex]

Part B

To find the number of blocks that will fit in the box, divide the volume of the box by the volume of one block:

[tex]\begin{aligned}\implies \textsf{Number of blocks}&=\dfrac{\textsf{Volume of box}}{\textsf{Volume of block}}\\\\& = \dfrac{216n^9}{27n^3}\\\\&=\dfrac{216}{27} \cdot \dfrac{n^9}{n^3}\\\\&=8 \cdot n^{9-3}\\\\&=8n^6\end{aligned}[/tex]


Related Questions

someone please help me!!!

Answers

Im going to answer for the first one.So angles 1 and 2 are corresponding angles and so they are equal because line k and line p and parellel

4.74 do you own a tablet? a study20 conducted in june 2015 examines ownership of tablet computers by us adults. a random sample of 959 people were surveyed, and we are told that 197 of the 455 men own a tablet and 235 of the 504 women own a tablet. we want to test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women. state the null and alternative hypotheses, and define the parameters. give the notation and value of the sample statistic. in the sample, which group has higher tablet ownership: men or women? use statkey or other technology to find the p-value.

Answers

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = [tex]\frac{x_{1}+x_{2} }{n_{1}+n_{2} }[/tex]= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = [tex]\frac{x_{1} }{n_{1} }[/tex]= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = [tex]\frac{x_{2} }{n_{2} }[/tex] = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

What is Null hypothesis?

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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Sean weighs 10 lb more than twice Brad’s weight. If Brad gains 10 lb, together they will weigh 230 lb. How much does each weight now?

Answers

Using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

What do we mean by equations?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 = 15, for example.There are many different types of equations, including linear, quadratic, cubic, and others.The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the weight of Sean and Brad.

Let, Brad, be 'x'.Then Sean be '2x + 10'

So, the equation will become:

x + 2x + 10 = 230

Now, solve this equation for 'x' as follows:

x + 2x + 10 = 2303x = 230 - 103x = 220x = 220/3x = 73.33

Rounding off: 73 lbs

Then,

Brad weights ⇒ 73 lbsSean weights ⇒ 2(73) + 10 = 156 lbs

Therefore, using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

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what do you divide by 15 to get to 9

Answers

Answer:

aproamitly 1.66666666667

Step-by-step explanation: 15/9=1.66666666667 thus

15/1.66666666667=9

Answer: it's 135 the other dude used a calculator probs

Find the inverse of the given function.
5. f= {(1,3), (2,-5), (3,6)} ​

Answers

Check the picture below.

what is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? reducing the process standard deviation causes a - select your answer - in the number of defects.

Answers

A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

What is meant by standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

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Please help this is urgent your effort is appreciated

Answers

Answer:

3

Step-by-step explanation:

find the missing fraction 1/2+ blank=7/8

Answers

To solve this problem we change the structure from

1/2 + ? = 7/8

to

7/8 - 1/2 = ?

Now we need to subtract the fractions and find the difference. To do this, make the denominators (the bottom numbers on the fractions) the same.

1/2 = 4/8

then subtracts the numerator

7/8 - 4/8 = 3/8

there is your answer... 3/8

Vince and Wendy share $2000 in the ratio Vince : Wendy = 19 : 21. Calculate the amount of money that Vince receives

Answers

workout:

19+21=40

2000÷40=50

Vince=50×19=950

Wendy=50×21=1050

-u can check by adding 950+1050=2000 (which means the ratio is correct)

Answer:

(vince:wendy)= 950:1050

Answer:

V:W

19:21

19 + 21 = 40

19 over 40 × 200

Vince received $950

Your mom Paid $8 for 10 Granny Smithapples and bought 15 Golden Delicious at60 cents an apple. What is her average costper apple?

Answers

First, let's find the total cost of all the apples:

[tex]8+(0.6\cdot15)=17[/tex]

Now, we divide this by the total amount of apples bought. In our case, we know that there were 10 Granny Smith apples and 15 Golden Delicious, for a total of 25 apples.

[tex]\frac{17}{25}\rightarrow0.68[/tex]

Therfore, we can conclude that the average cost per apple was $0.68

in the diagram below , the measure of arc SQ is 160 degrees and the measure of arc PR is 102 degrees . find the value of x .

Answers

Given:

The measure of angle of arrc SQ is 160°.

The measure of angle of arc PR is 102°.

The objective is to find the measure of angle x.

Since, the angle x is away from te center of the circle.

Then, the formula to find the value of angle x is,

[tex]x=\frac{PR+SQ}{2}[/tex]

Now, substitute the given values in the above formula.

[tex]\begin{gathered} x=\frac{102+160}{2} \\ =\frac{262}{2} \\ =131\degree \end{gathered}[/tex]

Hence, the value of x is 131°.

NEEED HELP PLSSSS . Find x in triangles Geometry.

Answers

Answer:

10) x = 76,12) x = 8, Perimeter = 77 units

=========================

Question 10

The triangle is isosceles as marked.

The two opposite angles of equal sides are equal, one of them is x and the angle in between them is 28°.

Use angle sum of the triangle:

2x + 28 = 1802x = 152x = 76

Question 12

Same as previous question, we have an isosceles triangle. Equal sides are:

3x + 5 = 5x - 115x - 3x = 5 + 112x = 16x = 8

Find the perimeter by substituting the value of x:

P = 3*8 + 5 + 5*8 - 11 + 2*8 + 3 = 77 units

Find the measure of

Answers

Answer: ∠BDG = 50°

Step-by-step explanation:

    We know that a straight line is equal to 180°, meaning that line CDF is 180°.

     Next, we know that angle CDB, angle BDG, and angle GDF should all add up to be 180°, since we know CDF is equal to 180°.

     Lastly, with all this information in mind, we will set up an equation and solve.

130° + BDG = 180°

∠BDG = 50°

I think you just need to add the total of the 2 Angeles and subtract that from 180

Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.

Answers

The total number of ways the prizes are awarded is 8855.

The prizes for entrants in a young inventors competition are $100, $50, $25, and $10.

Which are of total 4 types of prizes.

If there are 23 entrants in the competition the prizes can be awarded in the following ways by using Combinations.

Total number of ways =  ²³C₄

                                    = [tex]\frac{23!}{4! * (23 - 4)!}[/tex]

                                    = 8855

The total number of ways the prizes are awarded is 8855.

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A survey was given to people who own a sertain car. What percent of the people surveyed were completely satisfied with the car

Answers

The percent of the people surveyed were completely satisfied with the car is 55%.

How to calculate the percentage?

Number of people completely satisfied = 1155

Number of people somewhat satisfied = 755

Number of people not satisfied = 190

Total number of people = 1155 + 755 + 190 = 2100

Therefore, the percent of the people surveyed were completely satisfied with the car will be:

= Number of people completely satisfied / Total number of people × 100

= 1155 / 2100 × 100

= 55%

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The function g(x) is defined as g(x) = -2x^2 - 4x + 2 The value of g(-3)

Answers

[tex]g(x)=-2x^2-4x+2[/tex][tex]\begin{gathered} g(-3)=-2(-3)^2-4(-3)+2 \\ g(-3)\text{ =-(2}\times\text{9) + (4}\times3)+2 \\ g(-3)\text{ =-18 + 12}+2\text{ =-18+14} \end{gathered}[/tex][tex]g\text{ (-3) =-4}[/tex]

A function is a fifth-degree polynomial. how many turning points can it have? exactly four exactly five four or less five or less

Answers

A fifth-degree polynomial function can have five turning points in its graph.

What is a quintic function?In other terms, a polynomial of degree 5 defines a quintic function. When graphed, normal quintic functions resemble normal cubic functions since they have an odd degree, with the possible exception that they might contain an extra local maximum and/or local minimum. 9x5– 2x + 3x4– 2 – A leading term to the fifth degree and a term to the fourth degree are both included in this four-term polynomial. It is known as a polynomial of fifth degree.The given polynomial must be factored as much as feasible in order to solve a polynomial equation of degree 5. We can solve for the variable after factoring by equating factors to zero.Examples of polynomials with degrees include the following: The degree of the polynomial 5x5+4x2-4x+3 is 5

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Answer:

The correct is answer is option C: "four or less"

The answers to the next  part of the question on Edge are options A and C :)

Step-by-step explanation:

Hope this helped!

Brainliest would be greatly appreciated - Have a great day :3

Solve the following equation: 5(n + 2) = 3(1 + 2n)​

Answers

Answer: n=7

Step-by-step explanation:

First distribute the numbers to get 5n+10=3+6n

Next Subtract 6n from both sides to get -n=10=3

Finally divide both sides my -1 to get rid of the -n to get n=7

Hope this helps :)

If α and β are the roots of the equation ax2+bx+c=0,αβ=4ax2+bx+c=0,αβ=4 and a,b,,c are in A. P then α+β=

Answers

Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:

[tex]\alpha + \beta = -2.5[/tex]

What are the sum and the product of the roots of a quadratic equation?

A quadratic equation is defined as follows:

[tex]y = ax^2 + bx + c, a \neq 0[/tex]

The roots of the equation are given as follows:

[tex]\alpha, \beta[/tex]

The sum of the roots is given as follows:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

The product of the roots is given as follows:

[tex]\alpha\beta = \frac{c}{a}[/tex]

In the context of this problem, the product is of 4, as [tex]\alpha\beta = 4[/tex] hence:

c/a = 4

c = 4a.

The coefficients are in an arithmetic progression, hence:

b = a + d. (d is the common difference of the sequence).c = a + 2d.

We have that c = 4a, hence:

4a = a + 2d

2d = 3a

d = 1.5a.

Hence coefficient b is calculated as follows:

b = a + d = a + 1.5a = 2.5a.

Then the sum of the roots is given as follows:

[tex]\alpha + \beta = -\frac{b}{a} = -\frac{2.5a}{a} = -2.5[/tex]

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Can someone please help answer the attached?

Answers

The variables we need to use in the question are defined. We will call the price of a knife as [tex]k[/tex] and the price of a spoon as [tex]s[/tex].

The total price of [tex]12[/tex] spoons and [tex]16[/tex] knives is then given. Let's write knives instead of [tex]4[/tex] spoons.

[tex]12s+16k=105.64[/tex][tex]3k+16k=105.64[/tex][tex]k=5.56[/tex] per knife.
Answer:  5.56 pounds

===================================================

Explanation:

k = cost of one knife

s = cost of one spoon

costs are in pounds

12s = cost of 12 spoons

16k = cost of 16 knives

12s+16k = 105.64 pounds is the total cost

We can replace k with 4s because of the phrasing "a knife is 4 times the cost of a spoon". Whatever s might be, quadruple it and it leads us to the value of k.

So,

12s+16k = 105.64

12s+16(4s) = 105.64

12s+64s = 105.64

76s = 105.64

s = 105.64/76

s = 1.39 pounds is the cost of one spoon

k = 4s = 4*1.39 = 5.56 pounds is the cost of one knife

----------------------

Check:

1 spoon = 1.39 pounds

12 spoons = 12*1.39 = 16.68 pounds

1 knife = 5.56 pounds

16 knives = 16*5.56 = 88.96 pounds

12 spoons + 16 knives = 16.68+88.96 =  105.64 pounds total

This fully verifies the answer.

Which graph shows the line y-4-2(x+1)?

Answers

If you did provide multiple choice graphs, then I can’t see them because I’m on mobile. But the graph should look similar to what I gave you.

(Just for extra information;
slope: 2
Y-intercept: (0,6)

X | Y
——
0 | 6
1 | 8

what is the formula to find the circumference of a circle?

Answers

Answer:

C = 2 \pi r

Step-by-step explanation:

Find the area of ABC with verticles A(4,-3), B(9,-3) and C(10,-11)

Answers

Answer:

Step-by-step explanation:

The  area of the triangle when the vertices of the triangle are given can be calculated by the following formula:

Area of triangle = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|  where the vertices are A(Ax, Ay), B(Bx, By), C(Cx, Cy)

Now, we have been given the values of vertices as A(4, -3) B(9,-3) , and C(10, −11)

Therefore,

By applying the formula and substituting the given values, we get

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Area = 0.5 * |44|

Area = 22

Hence, the area of triangle ABC with the given vertices is 22 square units

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The midpoint of AB is M(0, -7). If the coordinates of A are (-2,-6), what arethe coordinates of B?Answer:Submit AnswerPASSA

Answers

Explanation:

The coordinates are given below are

[tex]\begin{gathered} A(-2,-6) \\ M(0,-7) \\ B=(x,y) \end{gathered}[/tex]

The image is given below as

To calculate the coordinate of A,we will use the formula below

[tex]M=\frac{(x_1+x_2}{2},\frac{y_1+y_1}{2})[/tex]

By substituting the values, we will have

[tex]\begin{gathered} M=\frac{x_1+x_2}{2},\frac{y_{1}+y_{1}}{2} \\ (0,-7)=\frac{-2+x)}{2},(\frac{-6+y}{2}) \\ \frac{-2+x}{2}=0,\frac{6+y}{2}=-7 \\ -2+x=0,6+y=-14 \\ x=2,y=-14+6 \\ x=2,y=-8 \end{gathered}[/tex]

Hence,

The coordinate of B will be

[tex]B=(2,-8)[/tex]

Which of the following statements is true about the graph shown?

The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship

Answers

Answer: A

Step-by-step explanation:

How many cups will stack to the top of the door frame?
Explain why...

Answers

Answer:

157 cups

Step-by-step explanation:

First, convert in to cm

83.375 in  * 2.54   Cm/in = 211.77 cm

Each cup adds 1.3 cm to the (9.2 - 1.3 cm) base     (Base is 7.9)

211.77  =  7.9  + 1.3  x          X is the number of cups

         X = 156.9 = ~ 157 cups

Please help, i really need help

Answers

Answer: m<1 = 146 degrees, m<3 =146 degrees, m<4 = 34 degrees

Step-by-step explanation:

Since m<2 and m<4 are vertical angles, they will be equal to each other.

By using straight lines, we can easily find out that m<1 = 180-34 = 146

Since m<1 and m<3 are vertical angles, they are equal to each other.

Hope this helped :))

Angle 4: is 34 degrees since angle 2 and angle 4 are vertical angles and congruent (equal)
Angle 1: is 146 degrees. Since angle 4 and angle 1 are linear angles they are equal to 180. So subtract 180 and 34 to get 146
Angle 3: is 146 because angles 1 and 3 are vertical and congruent.
Hope this helps :)

a ladder 10 feet long rests against a vertical wall. let be the angle between the top of the ladder and the wall, and let be the distance from the bottom of the ladder to the wall. if the bottom of the ladder slides away from the wall, how fast does change with respect to when ?

Answers

Rate of change of x with respect to [tex]\alpha[/tex] when [tex]\alpha =\frac{\pi }{3}[/tex] is 5ft/s.

Since the ladder is 10ft long resting against a vertical wall.

Let the angle between the top of the ladder and the wall is [tex]\alpha[/tex] .

And let the distance from the bottom of the ladder to the wall is x.

Thus we need to find the rate of change of x with respect to [tex]\alpha[/tex]  when [tex]\alpha =\frac{\pi }{3}[/tex]

Consider L to be the length of the ladder.

Then, L = 10ft

Thus, we get the relation between the angle and distance x i.e.

x = L [tex]\sin \alpha[/tex]

On differentiating the above equation,

[tex]\frac{dx}{dt} =L \cos \alpha[/tex]

Now after putting the values [tex]\alpha =\frac{\pi }{3}[/tex] in above equation, we get,

[tex]=(10)\cos(\frac{\pi }{3} )=(10)(\frac{1}{2} )=5[/tex]

Therefore, [tex]\frac{dx}{dt} =5[/tex] ft/s

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Alysa buys 23 boxes of toothpicks. There are 255 toothpicks in each box. Which equation and solution show the number toothpicks, t, in all the boxes?

Answers

Answer:

255 ^t because the amount if toothpicks depend on the number of boxes she/he gets.

There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?

Answers

Probability that the person selected at random from the sport centre of 125 people is a fraction of 1/4 or 0.25.

Probability of an event

The probability of an event is the fraction of the required number of outcome divided by the number of possible outcomes.

We shall determine the answer to the question as follows;

People in the sport centre = 125

People who used the 3 facilities = 6

People who accessed only gym = 59 - (6 + 11 + 19) = 26

People who accessed only track event = 55 - (6 + 11 + 24) = 14

People who accessed only swimming pool event = 70 - (6 + 19 + 24) = 21

People who accessed only gym and swimming pool events = 29 - 6 = 19

People who accessed only gym and track events = 17 - 6 = 11

People who accessed only swimming pool and track events = 30 - 6 = 24

Total number of people who accessed at least any one of the facilities = 121

The number of people who did not access any of the facility = 125 - 121 = 4, which is the number of possible outcomes for our required outcome.

Therefore, the probability that the person selected doesn't use any facility = 1/4

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multiple select question select all that apply which of the following statements are correct? multiple select question. a person authorized by the board of directors signs checks. someone without access to check-writing should perform the recording function. vouchers are normally assembled by the accounts receivables department. individuals outside of normal cash operations should prepare bank reconciliations. A middle school football game has four 12-minute quarters. Jason plays 8 minutes in each quarter.Which ratio represents Jason's playing time compared to the total number of minutes of playing time possible?1 to 3 2 to 33 to 24 to 1Im Questions 1-9: Write down the pronouns you find in each sentence. Indicate whetherbach pronoun is personal, interrogative, indefinite, demonstrative, or relative. (Classifypossessive pronouns as personal pronouns.)Any of several methods could be used to solve his problems.2. Those are unnecessary actions.3. That will be taken care of later.4. Somebody forgot his or her raincoat.5. Which did you give to them?6. The causes for which John fought are now dead7. What are you planning to do now?8. I prefer doing that to making speech before them.9. Billasked, "Whose is that?"Questions 10-16: In the following sentences, identify the antecedent for each pronoun.10. William asked for his coffee to be brought to the conference room.11. The music was so loud thathurt our ears.12. Thomas and Christine forgot to bring their umbrellas to work.13. Since Grandma Helen was ten years old, she had been writing letters.14. The rain pounded on the roof, and it leaked through the cracks,15. His messenger bag was so full that soRandy could not fit another file in it.16. Cooper told his students that they were responsible for their grades. what would be the "very antithesis of the so-called new order of tyranny" he described in the speech? additional memory for your computer sells for $109.99 with a $10.00 mail-in rebate. what is the final price after the rebate if an envelope costs $0.35 and a 'forever' postage stamp costs $0.41? PLEASE HELP FASR ILL GIVE BRAINLIEST IF CORRECT!!!!Victor sells candles. The graph shows the number of candles sold and theincome from the sales. It represents a linear function.Which statement best describes Victor's income from selling these candles?A. He sells 4 candles per dollar.B. He sells 7.5 candles per dollar.C. He gets $4 per candle.D. He gets $7.50 per candle. Create an equation that models the table below. Use the variables in the table for your equation. Write your equation with 'S' isolated. Emily estimated that there were315 students at a soccer game.The actual number of students atthe game was 350. What was thepercent error of her estimate?I thought it was 8%. Please show your work, and maybe tell me why I was right or wrong? Thank you! I need help with question 4-8, can you please help me?Use f(X) as g(X) for question 5 and 6 Find the measures in the parallelogram4. Find AB and AC What is the weight of a boy with a mass of 50 kg on Earth?Use g= 9.81 m/s and do not include units in your answer. elminthic diseases are usually transmitted to humans by helminthic diseases are usually transmitted to humans by gastrointestinal route. vectors. respiratory route. aerosols. genitourinary route. when his bus arrives Calvin is 40 ft east of the corner the door of the bus is 30 feet north of the corner how far will Calvin run directly across the field to the bus What is 2c - 5 = 15? Step by step please!!! our football team has members, of which only are strong enough to play offensive lineman, while all other positions can be played by anyone. in how many ways can we choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver? Where along the information pathway do we tend to lose information?O All of these answersO When translating sensations into perceptionsO When trying to retrieve memoriesWhen encoding perceptions into memories If f(x)=x-x + x and g(x) = -x, where x # 0, what is (f/g)(x)? Leslie incorrectly balances an equation as 2C4H10 + 12O2 8CO2 + 10H2O.Which coefficient should she change?281012 what is the smallest amount of time in which the person can accelerate the car from rest to 23 m/s and still keep the coffee cup on the roof. The coefficient of the static friction is 0.21. The maximum acceleration of the car that is allowed so that the cup does not fall is 2.1 m/s^2 Suppose a double-stranded molecule similar to dna replicates itself, such that one molecule contains two old strands and the other molecule contains two new strands. Such replication would be an instance of _______ replication.