1) Operaciones con números escritos en notación científica
a) Después de reunir información, Kara decidió sumar algunas distancias. Decidió sumas la
distancia de la Tierra a Saturno con la distancia de la Tierra a Júpiter.
Aquí está lo que escribió.
5.95 × 108 + 8.87 × 108
¿Sabes cuál es el resultado?

Answers

Answer 1

We can write the equivalent expression as -

{5.95 × 10⁸ + 8.87 × 10⁸} = {10⁸ x 14.82}.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is combination of terms both constants and variables. For example -

23 + 54

2x + 5

3x + 5y + z

Given is that after gathering information, Kara decided to add up some distances. She decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. He wrote -

5.95 × 10⁸ + 8.87 × 10⁸

The given expression is -

5.95 × 10⁸ + 8.87 × 10⁸

10⁸ x (5.95 + 8.87)

10⁸ x 14.82

Therefore, we can write the equivalent expression as -

5.95 × 10⁸ + 8.87 × 10⁸ = 10⁸ x 14.82.

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{Question in english -

1) Operations with numbers written in scientific notation

a) After gathering information, Kara decided to add up some distances. decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. Here is what he wrote.

5.95×108 + 8.87×108

Do you know what the result is?}


Related Questions

Solve for X and Y using substitution


y=5x-7

-3x-2y=-12

Answers

Answer:

So the solution to the system of equations is (x,y) = (3,-2).

Step-by-step explanation:

To solve for x and y using substitution, we can first substitute y=-2 into the second equation to find the value of x, and then use that to find y.

Starting with the second equation:

4x - 3(-2) = 18

Expanding the -3(-2) using the distributive property:

4x + 6 = 18

Subtracting 6 from both sides:

4x = 12

Dividing both sides by 4:

x = 3

Now that we have x = 3, we can substitute that back into the first equation to find y:

y = -2

So the solution to the system of equations is (x,y) = (3,-2).

During a 36 - year period, lightning killed 2,457 people in the United States. Assuming that rate holds true today and is constant throughout the year. Find the probability that tomorrow: (a) No one in the United States will be struck and killed by lightning.

Answers

The probability that no one in the United States will be struck and killed by lightning tomorrow is approximately 0.835, or 83.5%.

To find the probability that no one in the United States will be struck and killed by lightning tomorrow, we can use the Poisson distribution, which models the number of rare events occurring in a fixed period of time, given the average rate of occurrence.

The Poisson distribution has the following probability mass function:

P(X = k) = (e^(-λ) * λ^k) / k!

where:

X is the random variable representing the number of events (in this case, the number of people struck and killed by lightning)

λ is the average rate of events per unit of time (in this case, the average number of people struck and killed by lightning per day)

We can use the data given in the problem to estimate the value of λ:

λ = (2457 deaths) / (36 years * 365 days/year) ≈ 0.18 deaths/day

Now we can use the Poisson distribution to find the probability that no one in the United States will be struck and killed by lightning tomorrow:

P(X = 0) = (e^(-0.18) * 0.18^0) / 0! ≈ 0.835

This means that there is a high likelihood that no one will be killed by lightning tomorrow, given the historical average rate of lightning deaths.

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an art teacher hhd 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers hhd paint in them including the one that was partially filled

Answers

Answer: 6 containers

Step-by-step explanation:

Fraction division.

2/3 divided by 1/8.

Keep-change-flip. (or a similar method for dividing fractions)

2/3 times 8/1 is 16/3.

He will fill 5 and 1/3 containers, so 6 containers will have paint in them.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

The length of a shadow of a building is 98 ft when the sun is 66° above the horizon. Find the height of the building. Round your answer to the nearest tenth.
000
000
66°
98

Answers

If the length of a shadow of a building is 98 ft when the sun is 66° above the horizon then the height of the building is, 267.7 ft.

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

We can use the tangent function to solve for the height of the building.

tan(66°) = height of building / 98 ft

Solving for the height of the building,

we get:

height of building = 98 ft x tan(66°)

Using a calculator, the value of tan(66°) is approximately 2.73.

So,

height of building = 98 ft x 2.73

height of building = 267.74 ft

Rounding to the nearest tenth, the height of the building is approximately 267.7 ft.

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Solve for X

This was on a Geometry Honors quiz

Answers

The value of x in the triangle is 8 units.

How to find the side of similar triangle?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, the sides x of the triangle can be found using proportion as follows:

x / x + 8 = x + 8 / 32

cross multiply

32x = (x + 8)(x + 8)

32x = x² + 8x + 8x + 64

x² + 16x - 32x + 64 = 0

x² - 16x + 64 = 0

Therefore,

x² - 16x + 64 = 0

x² - 8x - 8x + 64 = 0

x(x - 8) - 8(x - 8) = 0

(x - 8)(x - 8) = 0

Therefore,

x = 8

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Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.

Answers

The equation of the line of the best fit  for the data will be, y=2.07x-7.5.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The equation of the line is;

y=mx+c

y=2.07x-7.5

Hence, the equation of the line of the best fit will be, y=2.07x-7.5

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Ashley created 3 music playlists using a total of 48 rock and pop songs. Each playlist has 9 rock songs. Each playlist also has the same number of pop songs. Which equation could be used to determine the number of pop songs, x
, Ashley has in each playlist?

Responses
1. x(3+9)=48
2. 3(x+9)=48
3. 3x+9=48
4. 9x+3=48

Answers

Answer:

2. 3(x + 9) = 48

Step-by-step explanation:

We are given

There are a total of 3 playlistsThere are a total of 48 rock and pop songsEach playlist has 9 rock songsEach playlist has x pop songs

If each playlist has 9 rock songs and x pop songs, then each playlist has 9 + x songs.

If there are three playlists, there are three playlists which each have x + 9 songs. In other words, 3(x+9). This represents the total number of songs, which is 48. Therefore the answer is 3(x+9)=48.

Hope this helps!

2. 3(x+9)=48

Explanation:

Distribute 3 to x and 9 to get 3x + 27 = 48

Subtract 27 from both sides to get 3x = 21

Divide both sides by 3 to get x = 7

That means each playlist has 9 rock songs and 7 pop songs.

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 21 mph. How far apart will they be in 3 hours?

Answers

They will be 74 km apart after 2 hours.

What is the relative speed of two moving objects?

For two objects, the relative speed between them equals the change in distance between them divided by the change in time. If two bodies are going in opposite directions, their relative speed is equal to the sum of their individual speeds. If they are moving in the same direction, their relative speed is equal to the difference in their individual speeds.

Given here,  the Serenity travels at 17 mph and the Mystic travels at 20 mph  in the opposite direction .

therefore,  the relative speed is sum of their speeds = 17 + 20 = 37 mph

After 2 hours the distance between them would be = 37 × 2 = 74 mph

Hence, they  will be 74 km apart after 2 hours.

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Find the roots of the equation
x² − 2(a² + b²)x + (a²-b²)² = 0

Answers

Answer:

We can solve the above mathematical problem with the following approach.

We know that (a²-b²) = (a + b) (a - b).

So the given equation can be written as:

A pet toy company performed an experiment to see how
many toys dogs might play with. Each of the 60 dogs
involved was put in a room with its owner and 4 different
toys.
The researchers recorded how many toys each of the 60
dogs used.
Fill in the blanks to complete the probability
distribution.
Do not round your answers.
Toys used
Frequency
Probability .05
0
3
1 2
2
0.25
3
3 4
21 12
9
0.35 0.2 0.15

Answers

The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To fill in the blanks, we need to use the given information to complete the probability distribution table.

We can see that there were 3 dogs (out of the 60) that did not use any toys, and the probability of a dog not using any toys is 0.05 or 5%. There were 12 dogs (out of the 60) that used 1 toy, and the probability of a dog using 1 toy is 0.2 or 20%. Similarly, there were 15 dogs that used 2 toys, 21 dogs that used 3 toys, and 9 dogs that used all 4 toys. The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

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What is the answer? How do I solve this?

Answers

You solve it using your brain.

Solve for n !
[tex] \large{ \gray{ \frak{3x+5= 4(n - 5) \frac{6}{3} }}}[/tex]







Thank You! ​

Answers

Answer:

n = (3/8)x+(45/8)

Step-by-step explanation:

3x+5 = 4(n-5)*(6/3)

Is this written correctly?

3x+5 = 4(n-5)*(6/3)

3x+5 = 8(n-5)      [Simplify: {4*(6/3) = 8)]

3x+5 = 8n-40      [Expand the parentheses]

8n-40 = 3x+5      [Rearrange]

8n = 3x+5 + 40    [Rearrange]

8n = 3x+45          [Simplify]

n = (3x+45)/8       [Divide both sides by 8]

n = (3/8)x+(45/8)    [Rearrange]

12, x, y, 324, 972, find the sum of x and y (a) 144 (b) 52 (c) 75 (d) 109​

Answers

Answer: The value of the sum of x and y is (a) 144.

Step-by-step explanation:

Given, The sequence is a Geometric Sequence.

Initially,

=> 4x3 , x , y , 324, 324x3

=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3

From above,

We can deduce that,

=> x = 4 x 3 x 3

=> x = 36

Also,

=> y = 4 x 3 x 3 x 3

=> y = 108

The values of x and y are 36 and 108

Now, We can evaluate the sum of x and y,

=> x + y = 36 + 108

=> x + y = 144

Therefore, The sum of x and y is 144. Hence, option (a) is correct.

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Write a real-world situation and an algebraic expression that is represented by the bar diagram:

Answers

The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.

The mathematical form of the expression can be written as:-

2C + 5L = 5

Here, C is the cost per chocolate and L is the cost of per Lollypop.

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The complete question is given below.

Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.

please help me with my homework!!
10. The value of a book is $58 and decreases at a rate of 10% per year; 8 years.

Answers

Answer:

$24.96

Step-by-step explanation:

The question was incomplete. If you are asking how much is the book worth after 8 years, here's how to do it

Original cost  = $58
Since the rate of decrease = 10%, the cost of the book after 1 year is 90% of the original price

90% = 90/100 = 0.9

Therefore after 1 year, the book cost is 58(0.9)

After another year(effectively 2 years) the above cost will drop by another 10% to 90% of the first year value: 58(0.9)(0.9) = 58(0.9)²

So the value of the book after a period of n years is modeled by the function

V = 58 (0.9)ⁿ

After 8 years the value is
58 (0.9)⁸ = 58 x 0.43046721

V = $24.96 rounded to the nearest cent

What number would correctly replace the G?

Answers

40 Would take the spot because
32/4 to get the ratio 8:1 Then 8 multiplied by 5 to get 40 so that is the answer

2 Gallons of Juice for $4.50. How much per Gallon?

Answers

2.25
4.50 divided by 2 is 2.25

Answer: 2.25 per gallon

Step-by-step explanation:

4.50 divided by 2 = 2.25

Pls help me fast fast

Answers

The sum of the measures of angles A, D, and F is:

A + D + F = 360°

How to find the sum of the 3 angles?

First, we know that the sum of the interior angles of any triangle is always equal to 180°, then we can write:

B + C + E = 180°

We also can see that:

A + B = 180°

C + D = 180°

E + F = 180°

Then we can rewrite:

E = 180° - F

C = 180° - D

B = 180° - A

And replace that on the equation above:

B + C + E = 180°

( 180° - F) + (180° - D) + (180° - A) = 180°

Moving the variables to the right side we will get:

3*180° = 180° + A + D + F

3*180° - 180° = A + D + F

360° =  A + D + F

That is the sum of the 3 measures.

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what is the probability of drawing a black card in a standard deck of 52 cards? (enter your probability as a fraction.)

Answers

The probability of drawing a black card in a standard deck of 52 cards is 1/2.

Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1. There are total 52 cards out of which 26 are black cards and 26 are red cards.

There are 26 black cards (13 spades and 13 clubs) in a standard deck of 52 cards.

Therefore, the probability of drawing a black card from a standard deck of 52 cards is 26/52.

Probability = 26/52 = 1/2

So, the probability of drawing a black card is 1/2.

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The Jacob family plans to attend a concert. An adult ticket (a) is $7.50 each and a child's ticket (c) is $5.00 each. Mr. Jacob purchased a total of 11 tickets for a total of $65. How many of each kind of ticket was purchased?
Explain how to do please

Answers

Answer:  Therefore, we purchased 4 adult tickets and 7 child's tickets.

Step-by-step explanation:

Through the information provided, we set up a system equation:

a + c = 11

7.50a + 5.00c = 65

By the first equation, we convert it into a form, then we get a = 11 - c. Then we plug in the a = 11 - c to the second equation:

  7.50(11 - c) + 5.00c = 65

82.5 - 7.50c + 5.00c = 65

            82.5 - 2.50c = 65

                     - 2.50c = 65 - 82.5

                     - 2.50c = - 17.5

                               c = - 17.5/- 2.50

                               c = 7

And we plug c = 7 back into the first equation, which is a + c = 11.

a + c = 11

a + 7 = 11

      a = 11 - 7

      a = 4

Therefore, we purchased 4 adult tickets and 7 child's ticket.

Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4.
Find the equations of the lines
DC, AD and BC.

Answers

Answer:

c

Step-by-step explanation:

trust me

What if the well was 40 feet deep, the frog climbs 6 feet per hour, and it slips back only 1 foot while resting for an hour?

Answers

If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.

However, the frog slips back 1 foot while resting for an hour, so the frog would only have covered 5 feet of the well after each hour of climbing. The frog would need to climb for a total of

40/5 = 8 hours

to reach the top of the well. Additionally, the frog would need to take 8 hours of rest to make up for the slipping back.

So the total time it would take the frog to get out of the well would be 8 hours + 8 hours = 16 hours.

If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.

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surface area of a rectangular prism with sides of 5,4,3,3.7

Answers

Surface area of a rectangular prism is 444 square unit.

A rectangular prism is a three-dimensional shape with six faces (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular. As an outcome, there really are three sets of exactly equal faces here. A rectangular prism is also recognized as a cuboid due to its shape.

The sides of a rectangular prism is 5, 4, 3, 3.7.

This can be calculated by multiplying each of the side lengths together and then multiplying that result by two.

Surface area of a rectangular prism = 2 × (5 × 4 × 3 × 3.7)

Surface area of a rectangular prism = 2 × 222

Surface area of a rectangular prism = 444 square unit

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help asap pls. question in pic

Answers

the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

One side of rectangle is 200m

When the measure of the other side is 50 m

the area will be 50*200 = 1000m².

The expression of area A(x) = 200x,

hence the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

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The lines intersect at
1 point.
different. The
parallel.
Do You Understand?
1. Essential Question How are slopes and
y-intercepts related to the number of solutions
of a system of linear equations?

Answers

 The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The number of solutions for a system of linear equations depends on the relationship between the slopes and y-intercepts of the lines represented by the equations. If the lines are intersecting, then there is exactly one solution where the lines cross. If the lines are parallel, then there are no solutions, as the lines will never intersect.

If the lines are coincident, then there are infinitely many solutions, as the lines represent the same line.

Therefore,  The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

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help me please i actually cant do this

Answers

Answer:

a: Angle 1 and Angle 3

b: Angle 8 and Angle 5

c: Angle 2 and Angle 9

d: Angle 5 and Angle 3

e: none of the above

Whitney prepared 16 kilograms of dough after working 4 hours. How much dough did
Whitney prepare if she worked for 5 hours? Assume the relationship is directly proportional.

Answers

Answer:

Step-by-step explanation:

time take for 1 dough = 16kg/4hours= 4kg/hour

Dough in 5 hours = 4 x 5 = 20

She prepared 20kilograms of dough in 5 hours

The relationship between the amount of dough and the number of hours Whitney works is directly proportional, meaning that the ratio of the amount of dough to the number of hours remains constant. Let's call this constant of proportionality "k". We can find the value of k by using the information we have:

k = amount of dough / number of hours = 16 kg / 4 hours = 4 kg/hour

Now that we have the value of k, we can use it to find the amount of dough Whitney will prepare after working 5 hours:

amount of dough = k * number of hours = 4 kg/hour * 5 hours = 20 kg

So Whitney will prepare 20 kilograms of dough if she works for 5 hours

Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles

per hour?

2 mile per hour

I

b. 1 miles per hour

C.

mile per hour

d. 1 miles per hour

Answers

Answer as a mixed number =  1   1/8  mph

Answer as a decimal = 1.125 mph

Work Shown:

(3/4) of a mile : (2/3) of an hour

12*(3/4) of a mile : 12*(2/3) of an hour

9 miles : 8 hours

9/8 miles : 8/8 hours

1.125 miles : 1 hour

His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8

place the following scores in a frequency distribution table. based on the frequencies, what is the shape of the distribution? 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15

Answers

The frequency table is:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

What is a frequency table?

The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.

The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15

The frequency table can be written as:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.

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can ypu please answer this question

Answers

Answer: A=71°

Step-by-step explanation:

A+B+C=180°

A+38°+C=180°

A+C=180°-38°

A+C=142°

142°/2=71°

∴A=71°

∴C=71°

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This image shows movement of carbon through which processes?A) The atmosphere and hydrosphereB) Photosynthesis and the geosphereC) The hydropshere and geosphereD) Cellular respiration and photosynthesis histone methyltransferases are a class of enzymes that methylate certain amino acid sequences in histone proteins. a research team found that transcription of gene rr decreases when histone methyltransferase activity is inhibited. which scientific claim is most consistent with these findings? responses dnadna methylation inhibits transcription of gene rr. d n a methylation inhibits transcription of gene r . histone modifications of genes are usually not reversible. histone modifications of genes are usually not reversible. histone methylation condenses the chromatin at gene rr so transcription factors cannot bind to dnadna. histone methylation condenses the chromatin at gene r so transcription factors cannot bind to d n a . histone methylation opens up chromatin at gene rr so transcription factors can bind to dnadna more easily. How did the Hawley-Smoot Tariff help spread the depression globally?A.) European countries retaliated with their own protective tariffs.B.) It drastically reduced the price of foreign goods.C.) It caused American goods to flood European markets.*** my answerD.) Americans responded to it by refusing to ship goods overseas. list at least three ways in which africans responded to european traders who wanted enslaved people. In this moment when the light starts up In the east and rubs The horizon until it catches fire, We enter the fields to plant, Row after row, among the small flags of onion, Waving off the dragonflies That ladder the air. How do these lines develop the idea that the workers jobs are very demanding?The repetition suggests the endlessness of their task. The metonymy highlights the vast size of the fields. The metaphor compares the sun to a destructive force. The specific details show the problems they encounter. Find the average value fave of the function f on the given interval. f(x) = 3x2 + 4x, [1, 2] our jobs are to be done on four different machines. The cost in rupees ofproducing ith on the jth machine is given below. Assign the jobs to different machinesso as to minimise the total cost.JobsM1M2M3M4J115111315J217121213J314151014J416131117 The shape of the population pyramid for a less developed country, such as Nigeria, wouldO have a large base and a small top.have a large top and a small base.have a small base and top but a large middle.be a box-like shape. How does charge change with dielectric? Sort the following characteristics by the type of volcano they are associated with. Items (7 items) (Drag and drop into the appropriate area below) pyroclastic flow lahars fire fountain Strombolian eruption flank eruptions pillow basalt felsic lava Categories Cinder Cone Volcano Shield Volcano Stratovolcano Drag and drop here Drag and drop here Drag and drop here controlling inflation is more important than controlling unemployment. TRUE ORD FALSE A mother bought reusable snack bags from a company. The company uses an antibacterial agent called triclosan in its snack bags to help prevent mold from growing in the reusable bags. Triclosan is a known toxin that may, if used in a sufficient amount, weaken the immune system, especially when used in a moist environment, such as with reusable snack bags containing fruit or other damp foods. The mother who purchased the snack bags sued the company in federal court because she believed that the toxins in the company's snack bags caused her son to contract an illness due to his weakened immune system. At a trial without a jury, the judge, despite finding that the amount of triclosan used by the company in its snack bags was sufficient to cause the weakening of a child's immune system, held for the company because the plaintiff failed to prove that the boy would not have suffered from this particular illness unless his immune system had been weakened. In an unrelated action also filed against the company in the same federal court, a father sought damages from the company on behalf of his daughter, who contracted an illness after using the company's snack bags. During the trial, the father moved, on the basis of collateral estoppel, to prevent the company from contending that the amount of triclosan it used in its snack bags was insufficient to cause the weakening of a child's immune system.Can the court grant this motion?A. Yes, because offensive use of collateral estoppel is permitted.B. Yes, because the facts involved are related in time, space, origin, or motivation.C. No, because a jury did not render a final judgment on the merits.D. No, because the daughter was not a party in the prior case. When Jackie woke up, the temperature was 70 F. For the next 5 hours, the temperature rose by 4 F each hour. Write an equation in the form y = mx + b that Jackie can use to find the temperature x number of hours after she woke up.