A cargo truck is traveling 70 miles per hour and plans to travel 840 miles, plus or minus 105 miles, depending on fuel levels. Fnd the minimum and maximum number of hours the truck will travel at that speed.
The minimum is 10.5 hours and the maximum is not 12.2 hours.​

The expression written in the simplest scientific notation is 6. 4 × 10^4

Scientific notation can be defined as a mathematical method of presenting numbers or figures too large or small in simpler forms.

It is also termed index form or standard form

From the information given, we have that;

Now, substitute the values

8 × 10² × 3. 2 × 10^5 / 4 × 10³

Using the rule of exponent, we have;

25. 6  × 10^2 + 5/ 4 × 10³

25. 6 × 10^7/ 4 × 10³

Divide the numbers, we have

6. 4

Take the inverse power of the denominator

6. 4 × 10^ 7 - 3

6. 4 × 10^4

Thus, the expression written in the simplest scientific notation is 6. 4 × 10^4

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YesAnswer:

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

j+146=4 the proper way t solve this is DCVS
1 DISTRIBUTE
2COMBINE
3VARIABLES ON  side constants on another

4 Solve

1st things first J+146-146=4-146

so the answer is j= -142 hope you enjoyed please give me brainliesttt thank you

average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71

According to the question,

Given that,

Javier threw 54 pitches in game 1,

He threw 76 pitches in game 4 and

He threw 83 pitches in game 7

total pitches in all 7 games is 54 + 76 + 83 = 213

average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71

Definition

Pitches per inning pitched is a tool used to evaluate how efficient a pitcher is at getting his outs -- or how many pitches he typically needs to use to do his job. Calculating the number is easy enough. It's found by dividing a pitcher's total number of pitches thrown by his total number of innings pitched.

Pitchers with the game's best P/IP rate typically average fewer than 15 pitches per inning. A starting pitcher with those numbers would be able to go seven innings on fewer than 105 pitches.

For all games of eight or more innings, a starting pitcher must pitch at least five complete innings to receive credit as the winning pitcher. For all games of fewer than eight innings, the starting pitcher must pitch at least four innings to get credit for the win. Additionally, the winning pitcher’s team must be in the lead when he is replaced and must remain in the lead for the rest of the game.

b. If the starting pitcher does not pitch enough innings, the win is credited to a relief pitcher in the following manner:

1) The winning relief pitcher shall be the one who is the pitcher of record when his team goes ahead and remains ahead throughout the remainder of the game. No pitcher may receive credit for a victory if the opposing team ties the score or goes ahead after he has left the game.

  Exception—If a relief pitcher conforms to the above regulations but pitches briefly and ineffectively, the scorer should not credit him with a win. If a succeeding relief pitcher pitches effectively and helps maintain the lead, the scorer should award the win to that succeeding pitcher.

2) If his team maintains the lead throughout the game, and more than one relief pitcher is used, the scorer shall award the win to the relief pitcher that pitches most effectively, regardless of the number of innings pitched.

3) By pre-arrangement, if three or more pitchers are to be used, the pitcher of record shall be considered the winning pitcher.

c. When a batter or runner is substituted for a pitcher, all runs scored by his team during that inning are to his credit in determining the pitcher of record.

d. The starting pitcher shall be charged with the loss if he is replaced at any time while his team is behind and remains behind for the remainder of the game. Similarly, any relief pitcher who is the pitcher of record when the opposing team assumes the lead and never relinquishes it is charged with the loss.

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Answer:

Step-by-step explanation:

Answer:

the table shows how much of each

Step-by-step explanation:

Answer:

it's called the difference quotient of a function

Step-by-step explanation:

f(x+h)-f(x)/h is the slope of the secant line of a function

The S subject formula of the given expression will be given as s = tk/2p.

In order to find the S subject formula, we have to make the equation equal to s. This can be done by first making the equation in mathematical form and then taking s on one side and the other terms on the other side.

The equation given in the question is t = 2p (s ÷ k) which can also be written as t = 2p (s/k). Now, in order to make the s formula of the given expression we first cross multiply k on the left-hand side.

tk = 2p (s)

Now, we divide the expression 2p on the left-hand side.

tk/2p = s

=> s = tk/2p

This expression gives us the S formula.

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Using proportions, it is found that 1,667 total votes were cast.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Sherry Smith received 36% of the votes, which is equivalent to 600 votes, hence:

0.36x = 600

x = 600/0.36

x = 1,667.

1,667 total votes were cast.

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On solving the inequalities The solution for this is option D

(D)All real numbers

For this case we must find the solution set of the following inequalities:

The solution is given by all values of x greater than -5.

The solution is given by all values of x greater than -5.

This is the union of both the inequalities a hence all the real numbers will justify the inequalities.

Then, the solution set is given by all real numbers.

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The rate of change of the linear relationship that between the playing time and the file size is: C. 120.

A linear function can be described as a function whose graph is represented as a straight line graph on a coordinate plane with all its points plotted on the graph.

A linear function is modelled by the equation which is expressed in slope-intercept form as .f(x) = mx + b.

The "m" in the equation represents the rate of change of the function, which can also be called the slope of the graph while "b" represents the y-intercept where the line intercepts or crosses the y-axis.

The rate of change of a linear function = the slope = change in y / change in x.

Use two pairs of values from the table to find the rate of change, say, (2, 240) and (5, 600):

Rate of change (m) = (600 - 240) / (5 - 2)

Rate of change (m) = (360) / (3)

Rate of change (m) = 120

Therefore, the rate of change of the linear relationship that between the playing time and the file size is: C. 120.

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Answer:

120

Step-by-step explanation: when i took the test it was right

Answer: y= 3/5x-5

slope is 3/5

Step-by-step explanation:

Step-by-step explanation: I hope this helps.

Answer:

Answer:

rotation

Step-by-step explanation:

Math Math Math Math mTh

The truck takes a time of 1 longer to complete the delivery than that of the vehicle.

We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;

C(x) = -72|x - 5| + 360

Now, at a time of x = 5 hours, the distance covered by the car is;

C(5) = -72|5 - 5| + 360

C(5) = 0 + 360

C(5) = 360  miles

Thus, the car covers a distance of 360 miles in 5 hours

Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.

Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.

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Answer:

[tex]7\frac{2}{7}[/tex] sections of fence

Step-by-step explanation:

since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.

you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4 [tex]\frac{2}{3}[/tex] into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.

4x3=12

12+2 = 14

[tex]\frac{14}{3}[/tex]

[tex]\frac{34}{1}[/tex] ÷[tex]\frac{14}{3}[/tex]

to divide fractions we multiply by the reciprocal which would be

[tex]\frac{34}{1}[/tex]×[tex]\frac{3}{14}[/tex]

now we just multiply across

34x3= 102

1x14=14

[tex]\frac{102}{14}[/tex]

now the furthest we can simplify this is by dividing the whole thing by 2

51/7

now we turn this back into an improper fraction

we get [tex]7\frac{2}{7}[/tex]

you will need to buy [tex]7\frac{2}{7}\\[/tex] sections of fence

After using 25 square block, a quilt has been prepared by Wei-Min that has an area of 100 square inches. The length of each side of a block is 2 inches by calculating using concept of mensuration.

As per the question statement, Wei-Min makes a square quilt that has an area of 100 square inches and has got 25 square blocks, each the same size. We are supposed to find the length of each side of a block.

Using concept of mensuration,

Area of square quilt = 100 square inches

Number of block used = 25 square blocks

Therefore, area of each block = 100/25 = 4 square inches

As the block is a square, so each side will be equal in length.

Let's assume each side of square be "x" inches

Therefore x^2 = 4

or x = √4

or x = 2 inches

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The answer for the given function f(6)= square root of 6 is 2.449 approx.

Given :

f(6) = square root of 6

A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.

 "f(x) = ... " is the classic way of writing a function.

f(6) = √6

To determine the f(6) = √6 we will solve the square root of 6.

So, the value of √6 will be 2.449 approx.

Then,

f(6) = √6

f(6) = 2.449

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The four consecutive odd integers are: 51 , 53 , 55 and 57.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as,

addition, subtraction, multiplication, division, etc.

For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.

Types of algebraic expressions may further be distinguished in the following five categories. monomial, polynomial, binomial, .trinomial. multinomial.

the expression: 3/4x + y/2 (4x + 7) By using the distributive property, the given expression can be written as,

3/4x + y/2 (4x) + y/2 (7).

The sum of 4 consecutive odd integers is 336, how do you find the largest integer? because odd consecutive integers differ from each other by 4. Value of x can be determined by adding up assumed terms and equating it with 336.

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all them correct right

First change m to cm

1m = 100cm

3m = 300cm

25cm to 300cm

1cm to 12cm

The skier have to go for 7 days skiing in order to make the season pass less expensive than the daily basis.

Cost of daily pass = $70

Cost of season ski pass = $450

Let the cost of skiing per day = 'x'

Now we will equate the season pass plus ski rentals to daily skiing plus ski rentals :

450 + 30x = 70x + 30x

We have 30x on both sides, so those can cancel out easily :

Then we get,

    450 = 70x

Dividing both sides by 70 :

        x = 6.42

We can't pay for a partial day, so the skier will have to ski for at least 7 days to make the season pass cheaper than getting daily passes.

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The longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

The z-score formula can be used to resolve issues with samples that have a normal distribution. The score of a measure X in a collection with mean and standard deviation is given by:

Z = ( X - μ ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the value.

In this problem, we have that:

μ = 5.8, σ = 0.9

Only those on the 5th percentile or lower will be replaced. So the warranty is the value of X when Z has a value of 0.05.

The value of x will be:-

Z = ( X - μ ) / σ

-1.28 = ( X - 5.8 ) / 0.9

X = 4.6

Therefore, the longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

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By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.

The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute

Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:

R = (252 ballons)/( 180 min)= 1.4 ballons/minute

This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.

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Answer:

£105.04

Step-by-step explanation:

To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 -->  £105.04

The amount that Laura will earn for the week based on the information is $534.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

A symbol without a set value is referred to as a variable.

A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

In an expression, a coefficient is a number that is multiplied by a variable.

It should be noted that Laura works 40 regular hours and 3 hours overtime.

Therefore, the amount that she earns will be:

= (40 × $12) + (3 × $18)

= $480 + $54

= $534

The amount that she earns is $534.

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1) The determination of the amount of the interest expense in each alternative is as follows:

Alternative A:   $6,400

Alternative B:   $6,356.82

2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:

Alternative A:   $480,000

Alternative B:   $473,643.18

                                    Alternative A   Alternative B

Note Payable                 $480,000       $480,000

Maturity period               60 days            60 days

Interest /Discount rate   8%                     8%

Calendar Year = 360 days

The amount received  $480,000         $473,643.18 (PV)

Interest paid                     $6,400             $6,356.82

Interest = $6,400 ($480,000 x 8% x 60/360)

N (# of periods) = 60 days

I/Y (Interest per year) = 8%

PMT (Periodic Payment) = $0

FV (Future Value) = $480,000

Results:

PV = $473,643.18

Total Interest $6,356.82

Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.

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1) Determine the amount of the interest expense in each alternative.

2) Determine the proceeds received by the borrower in each alternative.

Answer:

[tex]x^2 + 7x + 10[/tex]

Step-by-step explanation:

Use distributive property: (x+5)(x+2) = x^2 + 5x + 2x + 10

Combine like terms: x^2 + 7x + 10

Hope this helps :)

Have a nice day!

Answer:

[tex]x^{2} +7x+10[/tex]

Step-by-step explanation:

(x+5)(x+2)

x(x+2)+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5x+10

x^2+7x+10