Given that it takes an employee
about 14 seconds to lift, close, fill,and shelve a jar of peanut butter,calculate how many jars the employee can complete in 1 hour.
A. About 257 jars
C. About 300 jars
B. About 240 jars
D. About 840 jars

Answers

Answer 1
A. About 257 jars.
To calculate this, you would take the number of seconds in an hour (60 seconds/minute * 60 minutes/hour = 3600 seconds) and divide it by the number of seconds it takes to complete one jar (14 seconds/jar).
3600 seconds / 14 seconds/jar = 257 jars/hour.
Answer 2

The solution is, A. About 257 jars, the employee can complete in 1 hour.

Here, we have,

given that,

Given that it takes an employee about 14 seconds to lift, close, fill, and shelve a jar of peanut butter,

To calculate this, you would take the number of seconds in an hour

(60 seconds/minute * 60 minutes/hour = 3600 seconds)

and divide it by the number of seconds it takes to complete one jar

(14 seconds/jar).

3600 seconds / 14 seconds/jar

= 257 jars/hour.

so, About 257 jars, the employee can complete in 1 hour.

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Related Questions

Solve the system of equations x+3y=5 and -3x-2y=20 by combining the equations

Answers

On solving the linear equations x + 3y = 5 and -3x - 2y = 20, the value for x is x = -10 and the value of y is y = 5. When solved independently the value is obtained as -2x + y = 25.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The first linear equation is - x + 3y = 5

The second linear equation is - -3x - 2y = 20

On evaluating individually the equation obtained is -

-3x - 2y + x + 3y = 20 + 5

-2x + y = 25

Multiply equation (1) with 3 -

3(x + 3y) = 5 × 3

3x + 9y = 15.....(3)

Adding equation (3) and (2) -

-3x - 2y + (3x + 9y) = 20 + 15

-3x - 2y + 3x + 9y = 35

-2y + 9y = 35

7y = 35

y = 35/7

y = 5

Substituting the value of y in equation (1) -

x + 3y = 5

x + 3(5) = 5

x + 15 = 5

x = 5 - 15

x = -10

Therefore, the value of x and y is -10 and 5 respectively.

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Which is a correct solution for the following system of Inequalities

Answers

Correct option is A, (1,2) is the correct option for the given system of equations.

System of Equation -

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system).

The number of equations must match the number of unknowns for a system to have a singular solution.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

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A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of elevation from the point the dog is standing on the ground to the cat?

Answers

Step-by-step explanation:

please see the attached fir details

Rewrite the following without an exponent.

(2/3) ^-1

Answers

The expression of (²/₃)⁻¹ without an exponent is given as;

3/2

How to use Laws of exponents?

The different laws of exponents are;

1) Power Law of Exponents which is expressed as; (x^m)ⁿ = x^(mn)

2) Quotient Law of Exponents is expressed as; x^m ÷ x^n = x^(m - n)

3) Product Law of Exponents is expressed as; x^(m) * x^(n) = x^(m + n)

4) Law of Reciprocal is expressed as; a⁻ⁿ = 1/aⁿ

Now, we want to rewrite the expression (²/₃)⁻¹ without using an exponent.

From the law of reciprocal of exponents we can say that;

(²/₃)⁻¹ = 1/(²/₃)

= 3/2

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There are 150,000 households in Market City. A local phone repair shop takes a random sample of 50 households and finds that the average number of phones per household from the sample last year that needed to be repaired was 1.05 ± 0.23. Which of the following is an estimate of the total number of phones that needed repairing last year in Market City?

Between 82 and 128 phones
Between 123,000 and 192,000 phones
Between 105 and 23 phones
Between 157,500 and 34,500 phones

Answers

The correct answer is Between 157,500 and 968,187 phones.

Which of the following best describes the approximate number of phones in Market City ?The average number of phones per household from the sample from the previous year that required repair was 1.05 0.23. This suggests that the range for the genuine population mean () might be between 1.05 - 0.23 = 0.82 and 1.05 + 0.23 = 1.28 phones per home.Since the sample size was 50 households, the estimate of the total number of phones that needed repairing last year in Market City can be calculated as follows:Estimate = 50 * (1.05 + 1.05) / 2 = 52.5Estimate = 52.5 * 150,000 = 7,875,000Therefore, an estimate of the total number of phones in Market City that required repair last year ranges from 7,875,000 - 7,875,000 * 0.23 = 6,068,125 to 7,875,000 + 7,875,000 * 0.23 = 9,681,875 phones.Therefore, the correct answer is between 157,500 and 968,187 phones.

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HELP ASAP!! GIVING 50 POINTS!!
PLEASE SHOW WORK!

Answers

for any value of n, the nth term of the equation will be:

Aₙ = -3* 2ⁿ⁻¹

What is the geometric sequence?

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

From the general formula of the nth term of the geometric sequence:

Aₙ = A₁* rⁿ-1

Given a geometric sequence:

-3, -6, -12, 24,.....

From the general formula of the nth term of the geometric sequence:

Aₙ = A₁* rⁿ⁻¹

in our case

a₁ = -3

ratio(r) = -6/-3 = 2

Thus for any value of n, the nth term of the equation will be

Aₙ = -3* 2ⁿ⁻¹

For instance,

8th term of the given sequence:

A₈ = -3* 2⁸⁻¹

A₈ = -3* 2⁷

A₈ = -384

Therefore, for any value of n, the nth term of the equation will be

Aₙ = -3* 2ⁿ⁻¹

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5 POINTS UP FOR GRABS !!!

Answers

The area of the shaded part of the rectangle is 152 cm².

What is the shaded area?

The area of the shaded part is the difference between the area of the larger rectangle and the smaller square.

Area of the shaded part = area of the larger rectangle - area of the square

Area of the larger rectangle = length x width

12cm x 18cm = 216 cm²

Area of the square = length²

= 8² = 64 cm²

Area of the shaded part = 216 - 64 = 152 cm²

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Mrs. Byrne mowed 1 4 of her lawn. Her son mowed 2 7 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Mrs. Byrne mowed 1/4 of her lawn. Her son mowed 2/7 of it.  Mrs. Byrne mowed most of the lawn. The lawn still needs to be mowed is 13/28.

Mrs. Byrne mowed of his lawn = 2/7

Her son mowed of his lawn = 1/4

We firstly equal the denominator of both fraction by taking the LCM of both numbers.

The LCM of 7 and 4 is 28.

So we multiply and divide by 4 in the fraction 2/7 and by 7 in fraction 1/4. Now,

Mrs. Byrne mowed of his lawn = 2/7 × 4/4 = 8/28

Her son mowed of his lawn = 1/4 × 7/7 = 7/28

Now we compare the both fraction 8/28 and 7/28. The 8/28 is greater than 7/28. So we can say that Mrs. Byrne mowed most of his lawn.

The total lawn is 28/28.

So, the remaining lawn for mowed = 28/28 - (8/28 + 7/28)

The remaining lawn for mowed = 28/28 - (8 + 7)/28

The remaining lawn for mowed = 28/28 - 15/28

The remaining lawn for mowed = (28 - 15)/28

The remaining lawn for mowed = 13/28

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The complete question is:

Mrs. Byrne mowed 2/7 of his lawn. Her son mowed 1/4 of it. Who mowed most? How much of the lawn still needs to be mowed?

The amount of snowfall in January was 11
1/1/20
Write your answer as a mixed number in simplest form.
feet
feet. The amount of snowfall in December was 5-
5²24
feet. How much more snowfall was there in December?
0

Answers

The mixed fraction in the simplest form is 21/20, and the snowfall in December was almost 5 times more than the snowfall in January.

What are mixed fractions?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 seems to be the quotient and 1 is the remainder. An amalgam of a whole integer and a legal fraction is a mixed fraction.

Given that the amount of snowfall in January was:

[tex]1 \frac{1}{20}[/tex]

To convert the mixed fraction to simplest form, multiply the denominator with the value and add it to the numerator:

[tex]21/20 = 1.05[/tex]

The amount of snowfall in December is:

[tex]5 \frac{2}{24} = 5 \frac{1}{12}[/tex]

To convert the mixed fraction to simplest form, multiply the denominator with the value and add it to the numerator:

[tex]\frac{61}{12} = 5.08[/tex]

Hence, the snowfall in December was almost 5 times more than the snowfall in January.

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URGENT!!

Which of the 3 graphs to the left best models the path
of a firework given it didn't explode?
Note: The path may be going in a different direction,
perhaps reflected or translated vertically or horizontally
while maintaining the same shape.
Linear
Quadratic
Exponential

Explain your thinking.

Answers

Answer:

Quadratic

Step-by-step explanation:

The path of a firework is modeled by a quadratic function. The firework ascends from point of launch with decreasing speed (negative acceleration due to gravity) until it reaches it maximum height and then starts dropping back to ground at increasing speeds due to positive acceleration exerted by the force of gravity.

The flight path of the parabola can thus be modeled by height as a function of elapsed time

h = f(t) where f(t) is a quadratic equation in t with the general form being

a · t² +b · t  + c

We can easily eliminate the linear model since that implies the firework will ascend at a constant speed forever

The exponential model indicates that at the moment of launch the speed of the firework is constant and then it suddenly accelerates. However we know from observation that the firework has the highest speed at the moment of launch

Do not be confused by the shape of the graph - it seems to indicate the firework shoots down and up.

The note says:
Note: The path may be going in a different direction, perhaps reflected or translated vertically or horizontally while maintaining the same shape.

Indeed the actual path of the firework is a reflection of the graph about the x axis. so that it is a downward facing parabola. The vertex of the parabola is the highest y-value which is the maximum height the firework would reach.

The height would be the y axis and time t the x-axis

2/5 meter= how many centimeters

Answers

Answer: 40 cm

Step-by-step explanation: 2/5 x 100 =

200/5 = 40

Wendy solved an equation and found x to be 5. Which equation could she have solved?
O 2x + 4 = 12
O13-4x = 20
O 3x-10= 5x + 20
O 14+2x = 54 - 6x

Answers

The equation Wendy must have solve is  14+2x = 54 - 6x Option D

What is a linear equation?

A linear equation is an equation whose highest power of the variable is 1.

recall that equation is a mathematical statement showing that two opposite sides are equal

the equation can be solved as follows

14+2x = 54 - 6x

Collecting the like terms from the equation we have

2x+6x = 54 -14

This implies that

8x = 40

Making x the subject of the relation

Therefore x=40/8 = 5

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The Hcf of 2 numbers O and L is the number O itself .This can be only true if

Answers

The number O is the Hcf of the two numbers L and O. This is only possible if the number O is the highest common factor of the two.

Define the term HCF of the number?

The highest number among all of the common factors of something like the given numbers is known as the HCF (Highest Common Factor) for two or more numbers.

The highest integer that divides both x and y is known as that of the HCF (Highest Common Factor) for two natural numbers, x and y. Let's use the numbers 18 and 27 to further grasp this definition. 1, 3, and 9 are the common variables between 18 and 27. 9 is the greatest (biggest) number among these. An HCF of 18 with 27 is therefore 9. The formula for this is HCF (18, 27) = 9.

Similarly, for the given question.

The number O is the Hcf of the two numbers L and O. This is only possible if the number O is the highest common factor of the two.

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There are 9,075 trees in Memorial Park. If there are 726 trees per acre, there are ___ acres in the park.

Answers

Answer:

Step-by-step explanation:

what are the coordinates of P​?

Answers

(3,2) the eqaition would be y=3/2x+3

if the slope of a line in the xy plane that passes through the points (1/2/, -1) and (2, b) is 8/3, what is the value of b?

Answers

The slope of a line in the xy plane b = 13/3

The slope of a line in the xy plane can be calculated by using the equation m = (y2-y1)/(x2-x1). In this equation, m is the slope, x1 and y1 are the coordinates of the first point, and x2 and y2 are the coordinates of the second point.

Using this formula, we can solve for b.

m = (y2 - y1) / (x2 - x1)

8/3 = (b - (-1)) / (2 - (1/2))

24/3 = (b + 1) / (5/2)

24/3 * (5/2) = (b + 1)

40/3 = b + 1

40/3 - 1 = b

b = 13/3

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Lisa makes $30 for 4 hours of babysitting. Write an equation to represent her earnings, e, relative to the number of hours, h, that she works. Assume the relationship is proportional.


please help

Answers

The equation which represents Lisa's earnings, e, relative to the number of hours, h, that she works assume a proportional relationship is e = 7.5h

How to write equations?

Amount Lisa makes for babysitting = $30

Number of hours Lisa babysit = 4 hours

Total earnings = e

Number of hours = h

If the relationship is proportional, then

k = constant of proportionality

e = k × h

30 = k × 4

30 = 4k

divide both sides by 4

k = 30/4

k = 7.5

So therefore,

e = k × h

e = 7.5 × h

e = 7.5h

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I can’t figure this out. Which math expression means "52 more than an unknown number"?
O A. x- 52
• B. x+ 52
O C. 52 - x
• D. x = 52

Answers

Answer: B. x + 52

Step-by-step explanation:

The unknown number is represented as x.

The phrase "52 more than" means adding 52 to something

From this we can say that the expression is B. x + 52

a statistics professor asked students in a class their ages. based on this information, the professor states that the average age of students in the university is 21 years. this is an example of .

Answers

The problem where the professor states that the average age of students in the university is 21 years is an example of statistical inference.

Statistical inference is the process of using data from a sample to make inferences or conclusions about a population. It allows us to draw conclusions about a larger group of individuals or objects based on information from a smaller sample. It is a fundamental part of statistical analysis and is used in many fields, including research, business, and government.

Statistical inference includes two main types: estimation and hypothesis testing.

Estimation: This involves using sample data to make estimates about population parameters. For example, using the sample mean to estimate the population mean or the sample proportion to estimate the population proportion.

Hypothesis testing: This involves using sample data to test a claim or hypothesis about a population parameter. For example, testing the claim that a coin is fair, based on the proportion of heads in a sample of coin flips.

The goal of statistical inference is to use the information from a sample to make informed decisions or predictions about a population. It allows us to draw general conclusions from a specific set of data, and it is an essential tool for making sense of data in many fields.

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George says to subtract fractions with different denominators, you always have to multiply the denominators to find the common denominator; for example: 3/8 - 1/6 = 18/48 - 8/48


Is George correct? Why or why not?

Answers

George is not correct because we can find the least common multiple of 8 and 6 which is 24. This allows us to solve the problem with simple numbers and ease our calculations to get the answer in the simplest form.

The equation solved by George is 3/8 - 1/6 = 18/48 - 8/48

To solve the given fractions in the simplest form, we will find the common denominator which would be the least common multiple of both denominators.

we can see that the numbers in the denominator are 8 and 6.

Multiples of 8: 8, 16, 24, 32, 40,...

Multiples of 6: 6, 12, 18, 24, 30,...

Hence, LCM of 8 and 6 is 24.

thus we can solve the equation as follows -

3/8 - 1/6

= 3*3/8*3 - 1*4/6*4

= 9/24 - 4/24

= 5/24

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Which expression is equivalent to
P
O 16/45
O√√25
02
04
4
54
4
4112
112
?

Answers

The answer is 4^2. Step-by-step explanation: This is because 4 squared is 4*4 which equals 16.

a 6 foot-tall farmer wants to determine the height of his barn. he notices that his shadow is 10 feet long and his barn casts a shadow 75 feet long. how high is the barn?

Answers

By applying the proportional relationship formula, the height of the barn is 45 ft.

In a proportional relationship, each pair of data points is related in the same way, typically by multiplying them together. A proportionate relationship can be seen in a set of numbers, an equation, or a graphical representation. In this case, we are given that :

The height of the farmer (X1)  = 6 ft

The height of the farmer’s shadow (Y1) = 10 ft

The height of the barn with farmer’s shadow (Y2) = 75 ft

To calculate the actual height of the barn (X2), we can use this following formula:

X1 : Y1 = X2 : Y2

6 : 10 = X2 : 75

X2 = (6 : 10) x 75

X2 = 45

Thus, the height of the barn is 45 ft

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by solving simultaneous equations work out the coordinates of the point where the two lines below intersect. 3x+y=11 and y=4x-3

Answers

The point where the two lines intersect each other is (2,5).

What are simultaneous equations?

Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an endless number of solutions.

When two lines intersect each other, the point of intersection is a point common to both lines.

This can be found by solving simultaneous equations.

The given equations of the two lines are

3x+y = 11

4x-y = 3

Adding the above equations, we can remove the y variable.

The result is 7x = 14

x = 2

Now we substitute this value of x in either of the above equations to get the value of y.

3 * 2 + y = 11

y = 11 -6 = 5

Therefore the point where the two lines intersect each other is (2,5).

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Please answer. I've been stuck on this question for a while.

Question: A business purchased a new printer. The number of the pages, y, printed by the new printer in x minutes is represented by the equation y=37x. The number of the pages printed by the OLD printer is represented in the graph below.
Which statements about the printers are true?
Select the TWO correct statements.

Answers

Answer:

The new printer prints 100 pages about 4 minutes faster than the old printer

The new printer prints 22 move pages per minute than the old printer

Step-by-step explanation:

New printer's equation

y = 37x

Old printer's equation

y = 15x  

Since the graph is proportional you can take any ordered pair (except (0,0) and put it the form y/x to find the slope. For example, The point (2,30) 30/2 = 15 or the point (4, 60) 60/4 = 15 and so on.

The difference between the rates is 22 pages a minute (37 - 15).

Substituted in 100 for y and solve for x (minutes)

New:

y = 37x

100 = 37x  Divide both sides by 37

100/37 =37x/37

3 = x  This is rounded

This means that it takes about 3 minutes to print 100 pages.

Old:

y = 15x

100 = 15x  Divide both sides by 15

100/15 = 15x/15

7 = x   This is rounded

This means that it takes about 7 minutes to print 100 pages.

The new printer can print the same amount of page (100) in 4 less minutes (7-3)

what percentage of the trees have a height less than 75 feet? (round your answer to 2 decimal places.)

Answers

When using percent slope to get tree height, the tree is the rise, and the horizontal distance from the tree with the ground is the run. We can simply measure our horizontal distance from the tree, and we have instruments for gauging the percent slope to the top of a tree.

Hence, with those two measures (run and %slope) we can solve for rise.

You Total up all the trees.

let the average of number of trees are:

3+3+8+10+5+2=31

then you subtract the amount of trees under 75 feet in height.

31-8-3-3=14

divide the number of trees 14 under 75 ft in height by the total amount of trees31.

14/31=0.4516

0.4516=45.2

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Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 16 ≤ x ≤ 22.
x f(x)
4 10
10 19
16 28
22 37
28 46

Answers

Answer:

   

Step-by-step explanation:

Select the values that make the inequality - v <= - 8 true. Then write an equivalent inequality, in terms of v. ( Numbers written in order from least to greatest going across .)

Answers

Answer: To find the values that make the inequality -v <= -8 true, we can first isolate v on one side of the inequality. We do this by adding v to both sides:

-v <= -8

v >= 8

This inequality states that the only values that make it true are those greater than or equal to 8.

Another equivalent inequality in terms of v would be v>=8

So, the values that make the inequality -v <= -8 true are v >= 8

Step-by-step explanation:

what is the value of k? k= …..

please help quick

Answers

180 - 115 = 65

4k + 5 + 6k + 10 + 65 = 180

10k + 80 = 180

10k = 100

k = 10

Which functions show a positive rate of change? Select all that apply

Answers

The functions that show a positive rate of change include the following:

A. y = 2x/3 - 2.

B. y = 7 - (-3x).

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be represented or modeled by using this linear equation:

y = mx + c

Where:

m represents the slope or rate of change.c represents the y-intercept.x and y are the data points.

Generally speaking, a function with a positive rate of change represents an increasing function because its numerical value is increasing over time such as in the following increasing function:

y = 2x/3 - 2.

Slope, m = 2/3 (positive slope).

y = 7 - (-3x)

y = 7 + 3x

Slope, m = 3 (positive slope).

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The functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

What is a positive function?

A positive function is a function that has the values of x that are greater or higher than zero on the graph. It means that they are always increasing on the positive y-axis i.e. f(x) > 0.

The function's outputs known as the y-values, however, must be larger than zero even though the domain values i.e. (x-values) might be negative. A positive function, then, has values that are positive for all of its domain's parameters.

To determine the positivity of the function on the graph, the slope must also be positive. Using the linear function form y = mx + b.

where;

m = slopeb = y-intercept

From the given information, the functions that demonstrated a positive slope are:

y = 2/3x - 2 andy = 7 - (-3x)

Therefore, we can conclude that the functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

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Suppose a population consists of 4000 people. Which of the following
numbers of members of the population surveyed could result in a sample
statistic but not a parameter?
A. Both 40 and 4000
B. 40
C. 4000
D. Neither 40 nor 4000

Answers

A sample of size 40 is a valid sample size and could result in a sample statistic, as explained above, the correct answer is B.

What is the sample statistic?

A sample statistic is a measure calculated from a sample of the population, while a population parameter is a measure calculated from the entire population. Therefore, a sample statistic may differ from a population parameter due to sampling variability.

Out of the options provided, only option B (40) could result in a sample statistic but not a parameter.

This is because a sample of size 40 is a subset of the population, and a statistic calculated from this sample (such as the sample mean or sample proportion) would be a sample statistic.

Option C (4000) would result in both a sample statistic and a population parameter because a sample consisting of the entire population is a census, and any measure calculated from this sample would also be a parameter.

Option A (both 40 and 4000) and option D (neither 40 nor 4000) are not correct because 4000 is not a valid sample size, as it includes the entire population and would therefore be a census.

Hence, a sample of size 40 is a valid sample size and could result in a sample statistic, as explained above, the correct answer is B.

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where is the known traveler number on global entry card Fill in the blanks with the correct forms of the verbs from the list.Word Bank referenceYour options are:almorzar,cerrar,comenzar,dormir,encontrar,pensar,preferir,recordar, When species look alike it means they belong to the same species true or false Given the density of Au is 19.3 g/cm^{ 3} , determine the mass of gold in an ingot with the dimensions of 10. in x 4.00 in x 3.00 in. Give your answer as a number with correct sig figs only. Evaluate the following. 4 x 5 - 18 divided 3 - 8 gross domestic product refers to the total value of goods and services produced in a country in a given year. the goods and services can be: Participants in a free market economy depend on which of the following for their economic security?The American free-market system depends on:1. The American tax rate is lower than in European nations.2. Individuals seek profits for themselves (this is the answer) and their companies.3. Private transactions determine the allocation of economic costs and benefits. Now write four additional questions about HIV/AIDS that could help strengthen your argument in the presentation Nasim went to the store to buy some coffee. The price per pound of the coffee is $4.75 per pound and he has a coupon for $3.50 off the final amount. With the coupon, how much would Nasim have to pay to buy 3 pounds of coffee? Also, write an expression for the cost to buy p pounds of coffee, assuming at least one pound is purchased. an alligator named Camila Arguello was 32 inches long in 2022, she was measured now in 2023, she is now 38 inches long, find the percent increase and percent CHANGE. Drag each tile to the correct box.Match each type of insurance to its description.life insuranceproperty and casualty insurancehealth insurancedisability insuranceDescriptionprovides for the replacement of earned incomelost because of a person's inability to workcovers damages to propertyprovides benefits to a policyholder's beneficiary(or beneficiaries) when the policyholder diesType of Insurance how did they control a camera on the moon to perfectly follow the lunar lander as it descended from the surface The value of x is 40% of y. What are possible values for x and y? * when the demand for a good increases, the demand curve: a. becomes flatter. b. shifts to the left. c. becomes steeper. d. shifts to the right. two point charges are separated by a distance of 60.0 cm. the numerical value of one charge is twice that of the other. each charge exerts a force of magnitude 85.0 n on the other. 1) find the magnitude of the charge with a smaller magnitude. dr. john smith is a research scientist. he uses the information from his research to develop a drug for bipolar disorder. dr. smith is a(n) Read lines 12-14 from the poem.. pollen sulphurs...that enfold you like a childin mother's wardrobe...What purpose do these lines serve in the poem?A. To reveal the speaker's emotional response to Georgia O'Keeffe.B. To present a criticism of Georgia O'Keeffe's choice of vibrantcolors.C. To suggest the speaker's interpretation of Georgia O'Keeffe'ssubjects.D. To provide an example of the power of Georgia O'Keeffe's style. The picture shows six equal squares. The total is 54ft2. What is the perimeter? solve for x.2x24 I need help with this equation nowww