You are solving a measurement problem where the numbers 4.514 x 10^−3, 3.09 x 10^7, and 2.80 x 10^3 are multiplied. How many significant digits should the product have?

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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−8

 5

y-intercept:

(0,−4)

Step-by-step explanation:

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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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 mass of pyramid is 6 grams and the cube is 8 grams

Let's assume the mass of a pyramid is x gram and mass of a cube is y gram .

So, algebraic mass of 6 and 4 pyramids is 6x grams and 4x grams. and algebraic mass of 2 cubes and 4 cubes is 2y grams and 4y grams .

Total algebraic mass of 4 pyramids and 2 cubes are , 4x + 2y = 40 ;(equation 1)

and Total algebraic mass 6 pyramids and 4 cubes are , 6x + 4y = 68 ;(equation 2)

Now we have to use adoption method to solve this problem ,  

we have to multiply equation (1) with 4 and equation (2) with 2 , and we will get ,

16x + 8y = 160 ; ( equation 3 )

12x + 8y = 136 ; ( equation 4 )

Now , we will substract equation ( 3 ) from equation ( 4 )

4x = 24 and x = 24/4 = 6

Let's put the value of x in equation ( 1 )

24 + 2y = 40 or, 2y = 16 or, y = 8

Here we can conclude , mass of pyramid is 6 grams and the cube is 8 grams.  

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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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Answer:

21 units²

Step-by-step explanation:

add all the squares up

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 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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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 point estimate of the population proportion defective will be 0.0945

The formula for calculating the point estimate is expressed as;

p = x/n,

where p is the proportion of successes in the sample

n is the total sample

Given the following

n = 550 items

x = 52

Substitute

p = 52/550

p = 0.0945

Hence the point estimate of the population proportion defective will be 0.0945

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Answer:

Graph A shows the system and solution to the system. Option A is correct.

The sum of Sharon's and John's ages is 70. Sharon is times as old as John. The system of equations regarding the problem is determined.

What is the equation?

The equation is the values of two expressions that are equal.

Let the age of Sharon's be x and Jhon's be y.

The sum of Sharon's and John's ages is 70.

x + y = 70  - - - - (1)

Sharon is times as old as John.

x = 4 y

Now put x = 4y in equation 1

4y + y = 70

5y = 70

y = 70/5

y = 14

Now put y = 14 in x = 4y

x = 4*14

x = 56

The solution of a system of equations is (14, 56) shown in graph 1.

Thus, graph A shows the system and solution to the system. Option A is correct.

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Step-by-step explanation:

Sharon is 14 years old and John is 56 years old.

The graph of the system of equations is given below where the solution is (14, 56).

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let x be Sharon's age and y be John's age.

From the first sentence, we know that:

x + y = 70

From the second sentence, we know that:

y = 4x

Substituting y = 4x into the first equation, we get:

x + 4x = 70

5x = 70

x = 14

Substituting x = 14 into y = 4x, we get:

y = 4(14) = 56

The graph of the system of equations is given below where the solution is (14, 56).

Therefore,

Sharon is 14 years old and John is 56 years old.

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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:

9

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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Answer:

the numerator (the top number)/ Denominator (bottom number)

Step-by-step explanation:

you should know this

Answer:

Fractional mathematics have to do with dealing with certain amounts of a number and mathematical proportions. Fractions are amounts out of a whole number.

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:

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

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.

Answer:

fuimaa

Step-by-step explanation:

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:

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

Step-by-step explanation:

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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Plot it halfway between -2 and -3

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:

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:

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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