Can someone help ??

Can Someone Help ??

Answers

Answer 1

Answer:

A. is 10/12 B. is 8/28 C. is 20/45

Step-by-step explanation:

I think


Related Questions

What is an equation of the line that passes through the point (- 5, - 6) and is parallel to the line 4x - 5y = 35

Answers

Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C.  Thus, C = 10, and the equation of the new line is

4x - 5y = 10

The equation of line is 4x - 5y = 10

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient. On the y-axis, this number c is referred to as the intercept. Key Point y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Given the points (-5,-6)

and parallel to line 4x - 5y = 35...…..(1)

the equation of line is (y - y₁) = m( x - x₁)

for parallel line condition the value of m is equal to both equations

converting eq. 1 in the form of y = mx + c

4x - 5y = 35

we get y = 4/5x -7

here m = 4/5 and c = -7

substitute the value of m in  equation of line

where y₁ = -6; x₁ = -5

(y - (-6)) = 4/5(x - (-5))

y +6 = 4/5(x+5)

simplify above eq. we get

4x - 5y = 20

Hence the equation of  the line that passes through the point (- 5, - 6) is  4x - 5y = 20

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Need help with Math question

Answers

Answer:

B; {x|x<-8}

Step-by-step explanation:

What is the surface area of the triangular prism?

Triangular prism

a
152 square feet
b
172 square feet
c
252 square feet
d
264 square feet

Answers

Answer:

Option c. 252 square feet

Step-by-step explanation:

This question does not have figure, please find the figure attached below.

Area of the triangular sides  = [tex]2(\frac{1}{2}\times bh)[/tex]

                                              = [tex]2(\frac{1}{2}\times 3\times 4)[/tex]

                                              = 2(6)

                                              = 12 feet²

Area of the rectangular base = A = b × h

                                                = 20 × 3

                                                = 60 feet²

Area of the lateral side =  20 × 5

                                       = 100 feet²

Area of the vertical rectangular side = 20 × 4

                                                            = 80 feet²

Total surface area = 12 + 60 + 100 + 80

                              = 252 feet²

Total surface area of the triangular prism is 252 square feet.

Solving One Step Equations:
z - 2.3 = 0.46

Answers

Answer:

z =2.76

Step-by-step explanation:

z - 2.3 = 0.46

Add 2.3 to each side

z - 2.3+2.3 = 0.46+2.3

z =2.76

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

the answer is either x=√3+5 or -√ 3+5

Step-by-step explanation:

split it into 2 equations

Answer:

(x-5)(x-5) =3

X^2 -5x -5x +25 = 3

x^2 -10x +22 = 0

x1 = (-b + sqrt(b^2 - 4ac))/2a

a=1

b=-10

c= 22

x1 = (10 +sqrt((-10)^2- 4(1)(22))/2(1)

x1 = (10 + sqrt(100-88))/2

x1= (10 + sqrt(22))/2

x1= (10 + sqrt(4) x sqrt(3))/2

x1=(10 + 2 x sqrt(3))/2

x1 =5 +sqrt(3)

x2 = (-b - sqrt(b^2 - 4ac))/2a

x2 = 5 - sqrt(3)

Answer is C

Step-by-step explanation:

Please what is the length of AC? Please 1 day no answer.

Answers

Answer: AC = 2.33

Step-by-step explanation:

use tangent to find the missing side

Tangent = opposite/adjacent

tan B = ?/5

tan 25 = ?/5

multiply each side by 5

? = 2.33153829.....

so

AC = 2.33

....................

Answers

Answer:

I would love to help you but all I see is dots

What graph is produced from the following function: f(x)= 1/4x

Answers

Answer:

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The graph is of all the points such that y is 1/4 of x. So, for x=4, y=1, for example. Similarly, for x=-4, y=-1.

These, (4, 1) and (-4, -1), are two points on the graph, which is a straight line through those points and through the origin. The graph extends to infinity to the lower left and the upper right. A portion is shown below.

Triangle R S T is shown. The length of R S is 9, the length of S T is 8, and the length of R T is s. Angle R S T is 111 degrees. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of s to the nearest whole number? 10 12 13 14

Answers

Answer:

bro I think its 14

Step-by-step explanation:

si paps

The length of RT is 14 cm. Therefore, option D is the correct answer.

Given that, RS=9, ST=8, RT=s and ∠RST=111°.

How do you solve cosine rules?

The cosine formula to find the side of the triangle is given by: c = √[a²+ b²– 2ab cos C] Where a,b and c are the sides of the triangle.

Here, given a²= b²+ c²– 2bc cos A.

s²= 9²+ 8²– 2×9×8 cos111°

⇒s²=81+64+51.552

⇒s²=197.552

⇒s=14.05≈14 cm

Therefore, option D is the correct answer.

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What is the area of the kite? 20 36 40 80

Answers

Answer:

44

Step-by-step explanation:

20+36+40+80= 176

176/4= 44

*ill give you BRAINLIST * (have to get it right ) Write the equation of the line with the given slope and y-intercept.
slope = 1
y-intercept = - 3/7

Answers

Answer:

Y=x-3/4

Step-by-step explanation:

slope intercept form

(slope=x)(1x=x)

the table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean of at least 92
week 1: 92
week 2: 96
week 3: 94
week 4: 88

Answers

Answer:90

Step-by-step explanation:

The minimum score she needs on her next quiz is 90

What is mean ?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

The mean value of the data set is the ratio of sum of data set's values to number of values it has.

If the data set consists of values

Mean = Sum of observations/the number of observations

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

Given;

Mean of 5 weeks= 92

Mean= (week 1 + week 2 + week 3 + week 4+ week 5)/number of weeks

         let, the score of next week be x

                  Mean = (92+96+94+88+x)/5

      putting the value of mean;

                     92= (370+x)/5        

                      460=370+x

                       x=460-370

                        x=90

In the next quiz jills need 90 score to get the mean of 92.

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Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.

8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7

Find the range and the outlier(s), if any, of the data set.

Answers

Answer:

The range is 5, there are no outliers.

Step-by-step explanation:

To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!

A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second population revealed X2 to be 110. Use the .05 significance level to test the hypothesis. a. State the decision rule. b. Compute the pooled proportion. c. Compute the value of the test statistic. d. What is your decision regarding the null hypothesis?

Answers

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

[tex]p_1=X_1/n_1=170/200=0.85[/tex]

The sample 2, of size n2=150 has a proportion of p2=0.7333.

[tex]p_2=X_2/n_2=110/150=0.7333[/tex]

The difference between proportions is (p1-p2)=0.1167.

[tex]p_d=p_1-p_2=0.85-0.7333=0.1167[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]P-value=2\cdot P(z>2.7)=0.0072[/tex]

As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number?

Answers

Answer:

1/10

Step-by-step explanation:

there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4

Consider the initial value problem y' − 9 2 y = 9t + 2et, y(0) = y0. Find the value of y0 that separates solutions that grow positively as t → [infinity] from those that grow negatively. (A computer algebra system is recommended. Round your answer to three decimal places.) y0 = How does the solution that corresponds to this critical value of y0 behave as t → [infinity]?
1, The corresponding solution converges to the function y = 9t.
2. The corresponding solution will decrease without bound.
3. The corresponding solution converges to the function y = −9t.
4. The corresponding solution converges to the function y = 0. The corresponding solution will increase without bound.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283

Answers

Question:

Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.

a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.

b. Calculate the sample statistic xM - xE

c. Calculate a t-test statistic, using the given estimate of SE.

d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?

e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.

f. State the conclusion of the test in context, using nontechnical language.

Answer:

See explanation below

Step-by-step explanation:

a)  The null and alternative hypotheses are:

H0 : uM - uE = 0

H1 : uM - uE > 0

b) Calculating the sample statistic,

xM-xE, we have:

Given xM = 12.70 days

xE = 11.60 days

xM - xE = 12.70 - 11.60 = 1.10 days

Therefore sample statistic = 1.10

c) Calculating the test statistic, using the given estimate of SE, we have:

Given standard error, SE = 0.283

[tex] \frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89 [/tex]

Therefore, t test = 3.89

d) The correct degrees of freedom.

We have:

[tex]Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)[/tex]

df = 343

e) p-value:

Pvalue = P(Z > 3.89) = 0.00000602

Since p value is less than significance level of 0.05, we reject null hypothesis H0.

f) Conclusion:

There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.

You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?

Answers

Answer:

7/7

Step-by-step explanation:

Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)

Factor the expression 4x + 32. Explain each step you
take in the process.

Answers

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Factorization:

4x: 2×2×x

32: 2×2×2×2×2

Highest common factor: 2×2 = 4

4x + 32

(4×x) + (4×8)

Using distributive property:

4(x + 8)

Answer:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

What the error? Jonah says a common denominator for 3/4 and 2/5 is 9 what is Jonah error?explain

Answers

Answer:

should be 20

Step-by-step explanation:

yes

Answer: She had added the Denominator, instead of finding the LCM.

Explanation: She should've multiplied them by a common number to equal a common Product, and replace the Denominator with the Product. (The correct denominator is 20, because 4 x 5 = 20, and 5 x 4= 20)

To study the effects of an advertising campaign at a supply chain, several stores are randomly selected with the following observed before‐ and after‐advertising monthly sales revenues: Store number 1 2 3 4 5 Old sales revenue (mil. $) 6.5 4.8 7.9 6.2 7.1 New sales revenue (mil. $) 7.5 6.3 7.1 7.8 8.9 Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month. (a)[7] At α = 0.05, test H₀: μ₂ ≤ μ₁ versus H₁: μ₂ > μ₁. Sketch the test. Interpret your result. (b)[3] Sketch and find the p‐value of the test. Would you reject H₀ if α = 0.01? Hint: Use 5 decimals. Refer to some Excel lookups: αv 0.990 0.990 0.950 0.950

Answers

Answer:

Check the explanation

Step-by-step explanation:

Part a

H0: µ2≤µ1 versus H1: µ2>µ1

(Upper tailed test)

WE will consider differences as (New – Old).

From given data, we have

Dbar = 0.70

SD = 0.70

n = 5

Degrees of freedom = df = n – 1 = 5 – 1 = 4

Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]

t = (0.70 – 0)/[0.70/sqrt(5)]

t = 0.70/ 0.3130

t = 2.2361

Critical value = 2.1318

(by using t-table)

P-value = 0.0445

(by using t-table)

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the first attached image for the graphical table.

Part b

P-value = 0.0445

α = 0.01

P-value > α = 0.01

So, we do not reject the null hypothesis

There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the second attached image for the graphical table.

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12. Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28. Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer:

Due to the higher z-score, Cade should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Whoever had the higher z-score.

Reyna:

Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.

This means that [tex]X = 75.3, \mu = 69.3, \sigma = 12[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75.3 - 69.3}{12}[/tex]

[tex]Z = 0.5[/tex]

Kaitlyn:

Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.

This means that [tex]X = 228.4, \mu = 206, \sigma = 28[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{228.4 - 206}{28}[/tex]

[tex]Z = 0.8[/tex]

Cade:

Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that [tex]X = 7.88, \mu = 7.2, \sigma = 0.4[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.88 - 7.2}{0.4}[/tex]

[tex]Z = 1.7[/tex]

Due to the higher z-score, Cade should be offered the job.

Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets.

W p
64 252
64 283
64 190
64 197
58 291
47 702
49 907
59 341
66 202
58 305
58 477
52 477
63 379
62 377
54 563
63 255
63 286
a. Develop a scatter diagram with weight as the independent variable.

b. Does there appear to be any relationship between these two variables?

There appears to be a - Select your answer -negativepositiveItem 2 linear relationship between the two variables. The heavier helmets tend to be less expensive.

c. Develop the estimated regression equation that could be used to predict the price given the weight.

The regression equation is (to 1 decimal and enter negative values as negative numbers). If your answer is zero enter "0".

Answers

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]

[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

The perimeter of a square is 32cm? What is the length of each side?

Answers

the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.

apply the distributive property to factor out the gcf of 35+14

Answers

Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

Prove that the diagonals of a rectangle bisect each other.

The midpoints are the same point, so the diagonals _____



are parallel to each other.


bisect each other.


have the same slope.


are perpendicular to each other.

Answers

Answer:

  bisect each other.

Step-by-step explanation:

The midpoints are the same point, so the diagonals bisect each other.

__

More elaboration on a proof

The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.

Which represents the part of the 10-by-10 grid that is shaded

Answers

Answer:

100

Step-by-step explanation:

You buy $2,500of saving bonds at 1.7%interest.how many years will it take for your investment to equal $3000?

Answers

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

5 inches equals how many feet

Answers

Answer:

0.416667

Step-by-step explanation:

divide the length value by 12

happy to help:) mark me as brainliest pls


-3183.96 cm3
-715.92 cm3
-489.84 cm3
-1469.52 cm3

Answers

Answer:

1469.52 cm3

Step-by-step explanation:

Area of a circle times the height of the cylinder.

Area of a circle = 3.14*6^2 = 113.04

113.04*13 = 1469.52 cm3

Other Questions
Tiny structures inside of cells, such as ribosomes or chloroplasts that have specialized roles are called In the process of breaking down dead plant and animal materials, decomposers release nutrients back into the soil. True or false Giving brainliest for CORRECT awnser. i know i know a b c d A wheel tractor is operating in it is fourth gear range with full rated revolution per minute. Tractors speed is 7.00 miles per hour. Ambien air temperature is 60 Fahrenheit, and operating attitude is sea level. This tractor is towing a fill material loaded pneumatic trailer while climbing with 5 % slop. Rolling resistance is 55lb/ton. Tractor is single axle and it is operating weight is 74,946 lb. The loaded trailer weighs 55,000 lb. The weight distribution is for the combined tractor- trailer unit is 53% to the drive axle and 47% to the rear axle.The manufacturer, for the environmental conditions as given above, rates the tractive effort of the new tractor at 330 rimpull HP. What percentage of this manufacturers rated rimpul HP actually develop? Une mauvaise exprience Cedrie had a bad experience during his last family vacation Rewrite every underlined verb in the pass compos or the imparfait.Toute la famille (1) part en vacances Papa (2) appelle l'hotel le matin pour rserver une chambre. Nous (3) rives a 'htel maison (4) n o ve pas notre rservation Papa (5) most pas du tout content et mon petit frre (6) commence pleurer (cryl, Nou (1) tendons a la noeption pendant deux heures et finalement l'htelier (8) si trouver une autre chambre. Nous (9) p on la cle et nous (10) montons l'escalier pour aller au deuxime tage. Nous (11) entrons dans la chambre et. il n'y (12) a pas de lit bed! Quelle horreur! Find the acceleration of a car with the mass of 1,200 kg and a force of11 x 103 N.a9.2 m/s2b 5 m/s2c 2 m/sd 10 m/s2 How many kilograms of solvent (water) must 0.71 moles of KI be dissolved in to produce a 1.93 m solution? Zanny Moldings has the following estimated costs for the upcoming year: Direct materials used $25,800 Direct labor costs $62,600 Salary of factory supervisor $37,600 Advertising expense $33,800 Heating and lighting costs for factory $22,000 Depreciation on factory equipment $5600 Sales commissions $8100 The company estimates that 2100 direct labor hours will be worked in the upcoming year, while 2700 machine hours will be used during the year. The predetermined manufacturing overhead rate per direct labor hour is closest to:____________ A) $72. B) $51. C) $29. D) $31. Abigail, Betty and the others believed in the mysterious abilities of Tituba, who claimed to learn her magic on the island of Barbados. Is it made clear in this play whether or not Tituba was actually practicing witchcraft with the girls, or whether it was an outrageous claim by extremely religious townspeople? Yes or no. Please explain why. Find the common difference of the arithmetic sequence 13,10,7 I need answers for 5 and 6 please Consider these elements of the two stories in The People Could Ely"The Beautiful Girl of the Moon Tower"an eagle, an ant, a lion, and a dove"Manuel Had a Riddle"a witchHow are these elements of the two tales similar?They are crafty characters who distract the heroes from their quests,They are magical characters who aid the heroes on their questsThey are lesser beings seeking aid from the heroesThey are evildoers who seek to destroy the heroes. Explain why the amount of money in the account at the end of tyears is given by the formula: A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings? 11. Calculate the energy required to produce 12.00 mol of CI207 on the basis of thefollowing balanced equation.2012(g) + 702(g) + 130 kcal yields 201207(9) If nominal GDP is 2400 and the money supply is 400, what is the velocity? Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years? What is the volume of a cylinder in cubic feet with a height of 8 feet and a base diameter of 18 feet Which best describes the solution set for the inequality below?3x + 7 4x 8 or 2x + 3 1