Translate the phrase into a variable expression. Use the letter d to name the variable. If necessary use the asterisk for multiplication and the slash for division. the product of 40 and distance to the finish line

Answers

Answer 1

Answer:

40*d

Step-by-step explanation:

The word product means multiplication, and here it is multiplying 40 and the distance(d).

Answer 2

Answer:

40x5

Step-by-step explanation:


Related Questions

I NEED AN ANSWER IN MINUTES!!! WILL GIVE BRAINLIEST!!!!

Examine the diagram.

2 lines intersect a horizontal line to form 3 angles. The angles are 1, 90 degrees, 2.

Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.

Answers

Answer:

I think that angles 1 and 2 are complementary

Step-by-step explanation:

option 1

plz mark brainliest!

Answer:a

Step-by-step explanation:

A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth to the moon, which is 380,000 km?

Answers

Answer:

The answer is around 27.63 seconds.

Step-by-step explanation:

1 km equals 1000 meters so we have to multiply 10,500 and 1,000 which would equal 10,500,000 km. 10,500,000 divided by 380,000 which is around 27.63 seconds.

The answer is around 27.63 seconds

Which expression is equivalent to 5^10 times 5^5. 5^2 5^5 5^15 5^50

Answers

Answer:

5^15

Step-by-step explanation:

(5^10)(5^5)= 5^10+5= 5^15

Of the mathematics degrees awarded in recent years, 76% were bachelor’s degrees, 21% were master’s degrees and the remaining 3% were doctorates. Moreover, women earned 52% of bachelors, 40% of masters and 22% of doctorates. What is the probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman? Give your answer to 4 decimal places.

Answers

Answer:

0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Given to a woman.

Event B: Masters degree.

21% were master’s degrees

This means that [tex]P(B) = 0.21[/tex]

Women earned 40% of masters

This means that [tex]P(A|B) = 0.4[/tex]

Probability of the degree being given to a women:

52% of 76%, 40% of 21% and 22% of 3%. So

[tex]P(A) = 0.52*0.76 + 0.4*0.21 + 0.22*0.03 = 0.4858[/tex]

What is the probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman?

[tex]P(B|A) = \frac{0.21*0.4}{0.4858} = 0.1729[/tex]

0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman

a^3b^2 divided by a^-1b^-3

Answers

Answer:

[tex]\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}[/tex]

And simplifying we got:

[tex] a^3 b^2 a b^3[/tex]

[tex] a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5[/tex]

Step-by-step explanation:

We want to simplify the following expression:

[tex] \frac{a^3 b^2}{a^{-1} b^{-3}}[/tex]

And we can rewrite this expression using this property for any number a:

[tex] a^{-1}= \frac{1}{a}[/tex]

And using this property we have:

[tex]\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}[/tex]

And simplifying we got:

[tex] a^3 b^2 a b^3[/tex]

[tex] a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5[/tex]

please help image attached!

Answers

Answer:

The unit circle centered at the origin in the Euclidean plane is defined by the equation:

[tex]x^2+y^2=1\\[/tex]

Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:

[tex]x=cos \theta \\y = sin \theta[/tex]

Consequently, from the equation for the unit circle:

[tex]cos^2\theta+sin^2\theta=1[/tex]  

the Pythagorean identity.

What is the value of lifeee, and when do you think corona will stop! Will mark brainliest cuz why not

Answers

Answer:

LIFE: Your life purpose consists of the central motivating aims of your life—the reasons you get up in the morning. Purpose can guide life decisions, influence behavior, shape goals, offer a sense of direction, and create meaning. For some people, purpose is connected to vocation—meaningful, satisfying work. Also always be your self (:

Corona: I think corona depending on were you live will stop next year when they find a treatment for it.

Hope this helped!

Answer:

Your life is the most important thing. It shouldn't be worth 1 million dollars, or even 1 billion dollars, because it's worth everything.  

Corona can't really stop. It's a matter of the government to try to contain the virus, so it won't spread even further. I think the right time to reopen the economy is when we find a vaccine. But of course, places all over the U.S. are already reopening which will cause a spike in cases, therefore making our "self-isolation" even longer.

Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x= -3 or x = 3
x= -6 or x = -3
Ox= -5 or x = 5
O x= 7 or x = 1

Answers

Answer:

x = ±5

Step-by-step explanation:

x^2 – 9 = 16

Add 9 to each side

x^2 – 9+9 = 16+9

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

[tex]x = 5 \: \: \: or \: \: x = - 5[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 9 = 16 \\ {x}^{2} = 16 + 9 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = 5 \\ x = - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last the longest. Her cylinder vase has a radius of 2 in and a height of 9 in. How much water should Mary pour into the vase?

please help

Answers

Answer:

113.09 hope this helps

Step-by-step explanation:

Any help would be appreciated

Answers

Answer:

increase 40

% increase is 40 %

Step-by-step explanation:

Take the new amount and subtract the original amount

140-100 = 40

Divide by the original amount

40/100

.40

Multiply by 100 %

40%

The percent increase is 40%

The answer is 40%

1. Divide 40/100 and you will get 0.40
2. multiply 0.40 times 100 because of the 100%

Therefore, ur answer is 40%

A
B
C
D
Help me out

Answers

Answer:

2x^2 + 3/2x -5

Step-by-step explanation:

f(x) = x/2 -2

g(x) = 2x^2 +x -3

f(x)+ g(x) =  x/2 -2+ 2x^2 +x -3

Combine like terms

             = 2x^2 + 3/2x -5

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

You are given the equation [tex]f(x)=x+6[/tex] and [tex]g(x)=x^4[/tex]. When you combine G(F(x))  your equation would come out as [tex]g(f(x))=x^4(x+6)[/tex]. Once you distribute the equation you will get [tex]g(f(x))=(x+6)^4[/tex]

Therefore you answer choice would be B. [tex](x+6)^4[/tex]

Determine whether the study depicts an observational study or an experiment.

A study is conducted to determine if there is a relationship between stomach cancer and alcohol consumption.alcohol consumption. Everyone treated at a hospital for stomach cancer was asked Everyone treated at a hospital for stomach cancer was asked about their alcohol consumption.

a. The study is an experiment because the researchers control one variable to determine the effect on the response variable.
b. The study is an observational study because the researchers control one variable to determine the effect on the response variable.
c. The study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable.
d. The study is an experiment because the study examines individuals in a sample, but does not try to influence the variable of interest.

Answers

Answer:

Option c

Step-by-step explanation:

The study is an observational study. An observational study is made when the researchers collect data based on what they see, hear or observe without any form of manipulation or treatment plan from the researchers. Thus, in this case, the study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable/influence their responses.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

A

Step-by-step explanation:

It is not B because 7x^2 means multiplying the equation by seven. It isn't C because that would move the graph DOWN seven units. And it's not D because when it is in parenthesis like that, it means that it is a horizontal shift, not vertical.

Answer:

A. G(x) = [tex]x^2+7[/tex]

Step-by-step explanation:

→For the function to shift upwards 7 units, 7 must be added to the function, like so:

G(x) = [tex]x^2+7[/tex]

→F(x) + c (in this case is 7), cases a vertical shift and the function is moved "c," units. The graph would shift downwards if 7 was being subtracted.

This means the correct answer is A.

8b-ab=7a, .subtracted from 3a-9ab+b

Answers

Answer: You can't. Read explanation.

Step-by-step explanation:

You can't subtract an expression from an equation. If you said something like subtract 8b-ab+7a from 3a-9ab+b that would work, but not here.

Let's just assume You mean it as 8b-ab-7a, then (3a-9ab+b)-(8b-ab-7a) = -8ab + 10a - 7b.

Hope that helped,

-sirswagger21

A company produces product with a mean weight of 10 and a standard deviation of 0.200. A new process supposedly will produce products with the same mean and a smaller standard deviation. A sample of 20 products produced by the new method has a sample standard deviation of 0.126. At a significance level of 10%, is it appropriate to conclude that the new process is less variable than the old?

Answers

Answer:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

Step-by-step explanation:

Information given

[tex]n_1 = 10 [/tex] represent the sampe size old

[tex]n_2 =20[/tex] represent the sample size new

[tex]s_1 = 0.2[/tex] represent the sample deviation for old

[tex]s_2 = 0.126[/tex] represent the sample deviation for new

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to test

We want to test if the new process is less variable than the old, so the system of hypothesis are:

H0: [tex] \sigma^2_1 \leq \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 >\sigma^2_2[/tex]

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

question is attached

Answers

I apologize, I am stumped... I thought you would find either the centroid, circumcenter, or incenter of the triangle created but it didn't work quite right for me.

Mo has some red and green sweets He eats 1/3 of the sweets ¾ of the sweets left over are green Mo buys himself 30 more green sweets. There are now 162 green sweets. How many sweets did Mo start with?

Answers

Answer:

176 sweets

Step-by-step explanation:

162 - 30 = 132 this finds the 3/4 before he purchased more sweets.

132 divided by 3 = 44 This finds how many thirds their are. (We do 3 not 4 because 1/4 is already gone and there are only 3rds lefts.)

44 x 4 = 176 This finds the total before he purchased more.

Hope this helps!

What is the center of the circle?

Answers

Answer:The point from which circle is drawn is called center of circle.

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

The mean of three numbers is 4
Two of the numbers are 1, 9
What is the missing number?

Answers

Answer:2

Step-by-step explanation: 9+1+2=12

12\3=4

ANSWER : 2

Answer is 2

(9+1+x)/3=4
(10+x)/3=4
10+x= 3*4
x= 12 -10
x= 2

ide length


Recall that in a 30° -60° - 90° triangle, if the shortest leg


measures x units, then the longer leg measures x/5 units


and the hypotenuse measures 2x units.


(150/3 – 757) ita


(300 - 757) ft


(150/3 - 257) ft


(300 - 257) ft?



Help out

Answers

Question Correction

A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region? Recall that in a 30–60–90 triangle, if the shortest leg measures x units, then the longer leg measures [tex]x\sqrt{3}[/tex] units and the hypotenuse measures 2x units.

[tex](150\sqrt{3}-75\pi) $ ft^2[/tex]  (300 – 75π) [tex]ft^2[/tex][tex](150\sqrt{3}-25\pi) $ ft^2[/tex](300 – 25π) ft2

Answer:

(A)[tex](150\sqrt{3}-75\pi) $ Square Units[/tex]

Step-by-step explanation:

Area of the Shaded region =Area of Hexagon-Area of the Circle

Area of Hexagon

Length of the shorter Leg = x ft

Side Length of the Hexagon =10 feet

Perimeter of the Hexagon = 10*6 =60 feet

Apothem of the Hexagon (Length of the longer leg)

=  [tex]x\sqrt{3}[/tex] feet

[tex]=5\sqrt{3}$ feet[/tex]

[tex]\text{Area of a Regular hexagon}=\dfrac{1}{2} \times $Perimeter \times $Apothem[/tex]

[tex]=\dfrac{1}{2} \times 60 \times 5\sqrt{3}\\=150\sqrt{3}$ Square feet[/tex]

Area of Circle

The radius of the Circle = Apothem of the Hexagon [tex]=5\sqrt{3}$ feet[/tex]

Area of the Circle

[tex]=(5\sqrt{3})^2 \times \pi\\ =25 \times 3 \times \pi\\=75\pi $ Square feet[/tex]

Therefore:

Area of the Shaded region [tex]= (150\sqrt{3}-75\pi) $ Square feet[/tex]

Answer:

it’s A

Step-by-step explanation:

i took the test

Solve 2x - 11 = k for x.

Answers

2x + -11 = k

Reorder the terms:
-11 + 2x = k

Solving
-11 + 2x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k

Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k

Divide each side by '2'.
x = 5.5 + 0.5k

Simplifying


g(x) = x2 – 5x + 2.

Answers

Answer:

Use the quadratic formula:

a =  1  b= -5   c= 2

x = - -5 +-sqr root (25 - 4 * 1 * 2) / 2 * 1

x =  5  +-sqr root (25 - 8) / 2

x =  5  +- sqr root (17) / 2

x1 = 5 +4.1231056256  / 2

x1 = 4.5615528128

x2 = 5 -4.1231056256  / 2

x2 = 4.5615528128

Step-by-step explanation:

There are two fields whose total area is 56 square yards. One field produces grain at the rateof34bushel per square yard; the other field produces grain at the rate of23bushel per squareyard. If the total yield is 40 bushels, what is the size of each field

Answers

Answer:

the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Step-by-step explanation:

With the statement we can make a system of 2x2 equations, where:

"x" is the area of the first field

"y" is the area of the second field

However,

x + y = 56 => x = 56 - y

3/4 * x + 2/3 * y = 40

replacing we have:

3/4 * (56 - y) + 2/3 * y = 40

42 - 3/4 * y + 2/3 * y = 40

-0.0833 * y = 40 - 42

y = -2 / -0.0833

y = 24

now for x:

 x = 56 - 24

x = 32

This means that the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Assuming the below results were obtained in a study used to test the accuracy of the rapid diagnostic test for influenza, calculate and interpret the sensitivity of the rapid diagnostic influenza test.
Frequency of Flu Cases Frequency of Non-Fu Cases
Frequency of Individuals who 47 10
Screened Positive
Frequency of individuals who 43 100
Screened Negative
A) When the rapid diagnostic influenza test is used, 52.22% of individuals who have the flu test positive for the flu.
B) When the rapid diagnostic influenza test is used, 90.91% of individuals who have the flu test positive for the
C) When the rapid diagnostic influenza test is used, 47.78% of individuals who have the flu test positive for the flu.
D) When the rapid diagnostic influenza test is used, 9.09% of individuals who have the flu test positive for the flu.

Answers

Answer:

c

Step-by-step explanation:

After a series of major corporations admitted to large accounting irregularities, a public policy research institute conducts a survey to determine whether the public favors increased governmental regulation and oversight of corporations. Which of the following questions will deliver an unbiased response?

a. In light of the recent wave of shocking corporate accounting fraud, should government increase its regulation and oversight of corporations?
b. Should privately-owned companies be subjected to intrusive governmental regulation and oversight?
c. ls the government doing enough to protect American shareholders from corporate greed?
d. None of the above

Answers

Answer:

I think option B

Step-by-step explanation:

Should privately-owned companies be subjected to intrusive governmental regulation and oversight?

This question will produce an unbiased answer either a yes or a no. The question is simple and not too loaded and it is direct without including an inclination to bend to a particular direction. It will produce unbiased responses in that no comment was made about the admittance to large accounting irregularities.

(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or too small? Explain. The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus, the estimates are too large. The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus, the estimates are too small. The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too large. The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too small.

Answers

Answer:

(Missing part of the question is attached)

[tex]L(x)=2x+3[/tex]

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

[tex]f(1)=5[/tex]

where the graph of its derivative is shown in the attachment

(a)

If the function [tex]f\\[/tex] is differentiable at point [tex]x=1[/tex] , the tangent line to the graph of [tex]f[/tex] at 1 is given by the equation:

[tex]y=f(1) +f'(1)(x-1)[/tex]

So we call the linear function:

[tex]L(x)=f(1) +f'(1)(x-1)[/tex]

We know the [tex]f(1)=5[/tex] as it is given in the question, and [tex]f'(1)=2[/tex] from the graph attached. Substitute in the equation of [tex]L(x)[/tex].

[tex]L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\[/tex]

(b)

At x=1,  [tex]f'(x)[/tex] is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve [tex]f[/tex]. Thus, The estimates are too large.

Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful​ stock-picking strategy. Suppose a researcher decides to test this theory and randomly chooses 250 companies to invest in. After 1​ year, 135 of the companies were considered​ winners; that​ is, they outperformed other companies in the same investment class. To assess whether the​ dart-picking strategy resulted in a majority of​ winners, the researcher tested Upper H 0​: pequals0.5 versus Upper H 1​: pgreater than0.5 and obtained a​ P-value of 0.1030. Explain what this​ P-value means and write a conclusion for the researcher.​

Answers

Answer:

The calculated value Z = 1.2903 < 1.96 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

The population proportion is equal to 0.5

Step-by-step explanation:

Step (i):-

Given random sample size ' n' = 250

Sample proportion 'p'

                                [tex]p= \frac{x}{n} = \frac{135}{250} = 0.54[/tex]

Given Population proportion  P = 0.5

                                       Q = 1-P = 1-0.5 =0.5

Null Hypothesis : H₀ : P = 0.5

Alternative Hypothesis : H₁ : P≥ 0.5

Step(ii):-

Test statistic

               [tex]Z = \frac{p - P}{\sqrt{\frac{PQ}{n} } }[/tex]

             [tex]Z = \frac{0.54-0.5}{\sqrt{\frac{0.5 X 0.5}{250} } }[/tex]

            Z  = 1.2903

Level of significance α = 0.05

Z₀.₀₅ = 1.96

The calculated value Z = 1.2903 < 1.96 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

Step(iii):-

P- value

The probability of test statistic

P(Z > 1.2903) = 0.5 - A ( 1.2903)

                      = 0.5 - 0.4015

                      = 0.0985≅ 0.10

i) P- value =0.10 >  α = 0.05

null hypothesis is accepted

Conclusion:-

The population proportion is equal to 0.5

30 pontos de graça
Quanto é 100X4=?

Answers

Answer:

me marca como melhor resposta ☺️❤️

Step-by-step explanation:

.....

Answer:

400

brigadaaaaaaaaaaaaaa

The base diameter and the height of a cone are both equal to
x units.
Which expression represents the volume of the cone, in
cubic units?

pix2
2pix3
1/3pix2
1/12pix3





Answers

Answer:

[tex]\frac{\pi x^3}{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\frac{1}{3}[/tex]

[tex]V=\pi x^2x\frac{1}{3}[/tex]

[tex]V=\pi x^3\frac{1}{3}[/tex]

[tex]V=\frac{\pi x^3}{3}[/tex]

[tex]V=1.047198x^3[/tex]

Answer:

Step-by-step explanation:

1/12 pi x ^3

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Both are interested in making a 6-month investment at Synchrony Bank. The CD rates for Synchrony Bank (as of July 8, 2015) are as listed below. With 0.41% interest, Abe would get $5,010 in six months. With 0.50% interest, Bea would get $20,050 at the end of six months. If they pool their funds, they will be able to purchase a $25,000 CD, which pays a higher interest rate. The 0.60% interest will return $25,075 at the end of six months. Obviously, Abe gets back his $5,000 principle, and Bea gets back her $20,000 principle. How should the $75 interest be divided between the two of them she can make 4 basketballs in 1/2 hours.how many in 5 hours? Two bags contain coloured cubes. Bag 1 has 3 red cubes and 1 blue cube.Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.Is the probability that you will get a red cube from Bag 1 and the yellow cube from Bag 2 more or less than the probability of getting the blue cube from Bag 1 and a green cube from Bag 2? Explain. 15Type the correct answer in each box. Use numerals instead of words.This system of equations has been placed in a matrix:y = 650x + 175y= 25,080 - 120xColumn 1Column 2Column 3Row 1-1Row 2120ResetNext Explain how scientific knowledge is developed when people make observations about the natural world. Thomas Company uses a standard cost system. Information for raw materials for Product RBI for the month of October follows: Standard unit price $1.75 Actual purchase price per unit $1.65 Actual quantity purchased 4,000 units Actual quantity used 3,900 units Standard quantity allowed for actual production 3,800 units What is the materials purchase price variance Woman in roman society had the right to ? Read the excerpt from "Thoughts on the Works of Providence" by Phillis Wheatley and complete the sentence that follows. Arise, my soul, on wings enrapturd, rise To praise the monarch of the earth and skies, Whose goodness and beneficence appear As round its centre moves the rolling year, Or when the morning glows with rosy charms, Or the sun slumbers in the oceans arms: Of light divine be a rich portion lent To guide my soul, and favour my intent. The excerpt has the characteristics of a poem, including its usage of and its style of language. What is thought to be another cause of the large size of our brain compared to chimpanzees? North Star prepared the following unadjusted trial balance at the end of its second year of operations ending December 31. Account Titles Debit Credit Cash $ 12,800 Accounts Receivable 6,800 Prepaid Rent 2,560 Equipment 21,800 Accumulated Depreciation $ 1,080 Accounts Payable 1,080 Income Tax Payable 0 Common Stock 25,600 Retained Earnings 2,900 Sales Revenue 52,400 Salaries and Wages Expense 25,800 Utilities Expense 13,300 Rent Expense 0 Depreciation Expense 0 Income Tax Expense 0 Totals $ 83,060 $ 83,060 Other data not yet recorded at December 31: Rent expired during the year, $1,280. Depreciation expense for the year, $1,080. Utilities used and unpaid, $9,800. Income tax expense, $470. Prepare the adjusting journal entries required at December 31. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.) 4. Which of these terms describes the process of acid rain wearing away limestone?Acryptic erosionB.chemical weatheringC.cryptobiotic weatheringD.chemical erosion Your mother points out to you a magazine article that says better nutrition is the reason modern Americans are taller than Americans of two centuries ago. What is a valid statement that would contradict this? What is the measure of X ? What is the velocity of a car that travels 556km northwest in 3.2 hours Which reason would most effectively refute the counterclaim?Counterclaim: In addition to writing acclaimed lyrics, Bob Dylan has written both prose and poetry.I have read Dylans book of poetry, Tarantula, and his memoir, Chronicles: Volume One, and think that both books are worthy of the Nobel Prize in Literature. I just dont think that Dylans song lyrics should be awarded in the same category as his books.It is true that Bob Dylan has published traditional poetry and prose. However, neither of the books was very good, and neither won prestigious awards. If the Nobel Prize in Literature considered all writers of at least two mediocre books, the award would mean nothing.It is true that Bob Dylan has published traditional poetry and prose. However, one book of poetry and one memoir would not qualify him for the prize. The prize was awarded based on his songwriting, which does not qualify as literature.