Laura runs during her lunch break.
The average speed S, in kilometers per hour, at which Laura runs depends on the temperature t, in degrees Celsius (°C), at the start of her run and can be modeled by the function S(t) = 6 + 0.2(25 - t).

The distance, D, in kilometers, that she can run in 30 minutes given that her average speed is a kilometers per hour can be modeled by the function D(x) = 0.5x.

Which expression models the distance that Laura runs in 30 minutes given that it is t°C outside at the start of her run?

A. 5.5 - 0.2t
B. 11 - 0.1t
C. 11 - 0.5t
D. 5.5 - 0.1t

Answer:

3.9

Step-by-step explanation:

8.2-4.3=3.9

3.9+4.3=8.2

Answer:

21 units²

Step-by-step explanation:

add all the squares up

Plot it halfway between -2 and -3

Answer:

c

Step-by-step explanation:

This was a question asked by someone else roughly a week ago, here's the answer to that question. It's the same as this question. I hope this helps.

First do 7/100 to convert the percent to a decimal, you will get 0.07, now to get 7% of $5136 multiply .07 and 5136 to get 359.52. So she had to pay $359.52 in GST

Answer: x would be 6

Step-by-step explanation: x is a variable, its being used as multiplication here and u need to find the number x is representing

with 2x = 12

divide both sides by 2

2x divided by 2, 12 divided by 2

ur left with

x = 6

The total number of tickets bought is 6 and the number of coach tickets bought is 4 while the number of first class tickets bought is 2

We are told that a total of 6 people took the trip. If x is the coach tickets and y is the first class tickets and she bought tickets for 6 of them, then we can say that;

x + y = 6    ------(1)

Now, coach tickets cost $270 and first class tickets costs $1250. She used her total budget for airfare for the trip, which was $3580. Thus;

270x + 1250y = 3580    ----(2)

Solving both equations simultaneously gives;

x = 4 and y = 2

Thus, we conclude that the number of coach tickets bought is 4 while the number of first class tickets bought is 2.

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X in an example​ of stochastic variable.

What is meant by stochastic variables?

Typically, a random (or stochastic) variable is defined as a variable that can assume more than one value due to chance.

The correct answers are: (a) stochastic variable: By stochastic variable we mean a variable (here X: the weight of students) whose values are subject to variation due to chance.

Here since X is the weight of the children sampled, hence X will vary along with change in the sampling units which gets selected by chance.

Hence X for a sample A and X value for a different sample B will be different. So the values of X vary due to chance ( chance takes part in the selecton of the sample). So X is a stochastic variable.

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The complete question is -

Researchers are concerned that the weight of the average American school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. If X is the weight of school children sampled in a nationwide study, then X is an example of a stochastic variable. a parameter. a categorical variable. a continuous variable.

The numerical length of RT is 9 units

The given parameters are

ST = 15

SR = 6

RT = ??

Assume that the point R is on the line ST, then we have the following equation

ST = SR + RT

This gives

6 + RT = 15

Subtract 6 from both sides of the equation

RT = 9

Hence, the numerical length of RT is 9 units

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Answer:

i think it is 4

Step-by-step explanation:

Answer: $48 for 9 rides

$(30+2r) for r rides

Step-by-step explanation:

r=rides. t=total money spent

t=30+2r

t=30+2(9)

t=30+18

t=$48 for 9 rides

t=$(30+2r) for r rides

Mason has to pay $48 as total if he goes on 9 rides and he would have to pay a total of $30 + $2r if goes on r rides.

If Mason goes on 9 rides, we can calculate his total cost using the given information.

Admission cost: $30

Cost per ride: $2

Number of rides: 9

Total cost = Admission cost + (Number of rides × Cost per ride)

Total cost = $30 + (9 × $2)

Total cost = $30 + $18

Total cost = $48

Now, let's calculate how much he would have to pay if he goes on "r" rides.

Total cost = Admission cost + (Number of rides × Cost per ride)

Total cost = $30 + (r × $2)

Total cost = $30 + $2r

So, if Mason goes on 9 rides, he would have to pay a total of $48 and  if Mason goes on "r" rides, he would have to pay a total of $30 + $2r.

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Root 40 to the nearest 10 is 6.3

The root of a number in math is a number that when multiplied by itself produces the original number. For example, the square root of 49 is 7 because 7×7=49.

Rounding off to the nearest 10 means that we wish to round off the last two digits of a number, that is up to the tens place of a number.

We have been given that 40 is the number whose root we have to round off so here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:

Step 1: Calculate. We calculate the square root of 40 to be: √40 = 6.32455532033676.

Step 2: Reduce. 6.32.

Step 3: Round. Round 6.32 so you only have one digit after the decimal point to get the answer: 6.3.

So therefore the nearest 10 of root 40 is 6.3

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Answer: less

Step-by-step explanation:

Answer:     The answer is less than  

because negative are always less than positives

Step-by-step explanation:

I hope this helps

Answer:

He will fill 37 boxes and 11 cards will be left over

Step-by-step explanation:

The range in which the usage vary is from 682.77  kilowatt-hours to 2867.11  kilowatt-hours.

Given the charge of electricity charge is 6.434 cents  per​ kilowatt-hour.

Fixed customer charge = ​$7.81

Bill range = $51.74 to ​$​192.28

Since every value is in $ , we will first convert cents to dollar

per​ kilowatt-hour charge will be $6.434/100    ( as $1 = 100 cents )

per​ kilowatt-hour charge = $ 0.06434    …(1)

Lets us first find the lower range of usage

Last year's lowest bill was $51.74 (including the customer charge)

So last year lowest bill = $51.74-$7.81  = $43.93   …(2)

We know that (per KWh charge)x(no. of KWh used)=Total bill. …(3)

Substituting the values from (1) & (2) we get

(0.06434)x(no. of KWh used)=$43.93

no. of KWh used=[tex]\frac{43.93}{0.06434} = 682.77 KWh[/tex]

Similarly we will solve for maximum KWh used

Lets us find the maximum range of usage

Last year's highest bill was $192.28 (including the customer charge)

So last year highest bill = $192.28-$7.81  = $184.47   …(4)

Substituting the value of (1) & (4) in (3) we get

(0.06434)x(no. of KWh used)=$184.47

no. of KWh used=[tex]\frac{184.47}{0.06434} =2867.11 KWh[/tex]

Therefore ,  the The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11  kilowatt-hours.

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Answer:

x = 200

Step-by-step explanation:

substitute y = 15 into the equation

[tex]\frac{1}{5}[/tex] x - ([tex]\frac{2}{3}[/tex] × 15) = 30

[tex]\frac{1}{5}[/tex] x - (2 × 5) = 30

[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )

[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )

x = 5 × 40 = 200

Answer:

shebolixashebshe is she she is she she he she and he are in love go to xvideos.com to see them rápīng each other

Step-by-step explanation:

426;/7/(/&/)m

The equation which represents the given situation as described about snow depths in the task content is; 4 + 3x = 1 + 5x and the solution is; x = 1 and a half hours.

It follows from the task content that the time at which the snowfall in the towns in discuss will be equal be determined.

According to.the word phrases given;

A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour. Hence, we have;

4 + 3x.

Also, a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. Hence ,we have;

1 + 5x

Consequently, when the snowfalls are equal, we have;

4 + 3x = 1 + 5x

3 = 2x

x = 3/2.

x = 1 and a half hours.

Ultimately, the equation which represents the given situation as described about snow depths in the task content is; 4 + 3x = 1 + 5x and the solution is; x = 1 and a half hours.

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The result of the operation is 30 > 3 and the result is true

The inequality expression is given as:

-15 < -6

The operation on the inequality expression is given as:

Multiply both sides of the inequality by -1/2

So, we start by multiplying both sides of the above inequality by -1/2

This is represented as

-15 * -1/2 < -6 * -1/2

Evaluate the products

So, we have

30 > 3

The above inequality is true because 30 is greater than 3

Hence, the result of the operation is 30 > 3 and the result is true

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Answer:

fuimaa

Step-by-step explanation:

One-fourth root index 6 start root 2 - this expression is equivalent to start fraction start root 2 end root over root index 3 start root 2 end root end fraction.

A comparable is how much a substance that responds with an erratic measure of one more substance in a given synthetic response. Comparable weight can be characterized as the mass of one likeness a given substance that will consolidate with or uproot a decent amount of the other substance. Identical loads not entirely set in stone by try, however (to the extent that they are as yet utilized) are currently gotten from molar masses. Identical load in science is the most widely recognized term utilized and one of the fundamental ideas of science in the actual science part. The significance of 'identical' by and large alludes to two numbers, articulations, or amounts with a similar worth. There are numerous ways of communicating a comparable amount - it tends to be indicated either by a bar or an identical image.

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The expression that could represent the distance, in meters, that Abiona dives will be:

5 - (-2.1)

5 + 2.1

From the information, Abiona dives from a platform that is 5 meters above water. Her dive takes her 2.1 meters below the surface of the water.

The appropriate expression will be:

= 5.1 - (-2.1)

= 5.1 + 2.1

= 7.2

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The measures of angle ABC and DBC are 41 degrees and 43 degrees

The angles are given as

Angle ABC = (5x + 1) degrees

Angle DBC = (6x - 5) degrees

Angle ABD = 84 degrees

The angles add up to 84 degrees

So, we have:

ABC + DBC = 84

This gives

5x + 1 + 6x - 5 = 84

Evaluate the like terms

11x = 88

Divide both sides by 11

x = 8

Substitute x = 8 in Angle ABC = (5x + 1) degrees and Angle DBC = (6x - 5) degrees

Angle ABC = (5 x 8 + 1) degrees

Angle DBC = (6 x 8 - 5) degrees

Evaluate

Angle ABC = 41 degrees

Angle DBC = 43 degrees

Hence, the measures of angle ABC and DBC are 41 degrees and 43 degrees

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Answer:

c: 3 ⅓

Step-by-step explanation:

C has been simplified. If we converted the fraction ⅓ to 2/6 the answer would equal 20.

This is because we can do (whole number × denominator) 3 × 6 = 18 and then 18 + 2 (numerator) = 20

Answer:

Step-by-step explanation:

Answer:

W4 - 18w2 + 81 =0 this is the answer

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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Answer:

9

Step-by-step explanation: