what is the slope of the following function

Final answer:

Long division is used to divide 5.04 by 7, giving a quotient of 0.72. We divide 50 by 7 to get 7, then bring down the 0 and 4 consecutively, resulting in 1 and 4 added to the quotient line, respectively.

Explanation:

When you use long division to divide 5.04 by 7, you start by placing the divisor (7) outside the division box and the dividend (5.04), with the decimal point, inside the box. You then determine how many times 7 goes into 50 (the number before the decimal point in 504), which is 7 times. Therefore, you place a 7 above the 50, on the quotient line. Next, you multiply 7 by 7 to get 49, and subtract that from 50, resulting in 1. Shift down the next digit from the dividend, which is 0, making the new number 10. Seven goes into 10 once, so you put another 1 on the quotient line, multiply 7 by 1 giving 7, and subtract again, resulting in 3. Lastly, you bring down the last digit, which is 4, to get 34. Five goes into 34 four times, giving us a final quotient of 0.72.

Option C

3x + 7 > 4x is the inequality for sum of three times a number and seven is greater than four times the number

Solution:

Given that the statement is:

The sum of three times a number and seven is greater than four times the number

We have to find the inequality that represents the above statement

Let the number be "x"

Therefore,

sum of three times "x" and seven is greater than four times "x"

Here "times" represents product or multiplication

Thus we get,

three times "x" + 7 > 4 times "x"

[tex]3x + 7> 4x[/tex]

Thus the inequality is found. Option C is correct

Answer:

d

Step-by-step explanation:

Answer:

The answer is D: 1,456

Step-by-step explanation:

I got it right on edge

Answer:

5 x 2/5

Step-by-step explanation:

5/1 x 2/5 =

10/5 =

= 2

Answer:

2/5 x 5 first turn 5 into a fraction it becomes 5 over 1  so the new problem is

2/5 x 5/ 1= 10/5= 2

Step-by-step explanation:

Answer:

r=1

Step-by-step explanation:

The correlation coefficient r = 0.8694 suggests a strong positive relationship between the variables, supporting reliable predictions using the regression line.

The correlation coefficient r = 0.8694 indicates a strong positive relationship between the average temperature and electricity costs.

With a value of r = 0.8694 and comparing it to the critical values from the table, r is significant, suggesting a reliable prediction using the regression line.

Therefore, the most likely value closest to the correlation coefficient of the data is r = 0.9.

Answer:

h = [tex]\frac{2A}{b_{1}+b_{2} }[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex](b₁ + b₂)h

Multiply both sides by 2 to clear the fraction

2A = (b₁ + b₂)h

Divide both sides by (b₁ + b₂)

[tex]\frac{2A}{b_{1}+b_{2} }[/tex] = h

Answer:

30, 150

Step-by-step explanation:

One angle is x

The other angle is 5x

5x + x = 180

6x=180

180/6=30

x=30

5(30)=150

The student's question lacks necessary details to compute the surface area of the composite figure. Generally, surface area is calculated by summing the areas of each face. For cubes, multiply the area of one face by six and adjust for unexposed areas in composites.

The question asks for the total surface area of a composite figure, but the question does not give enough details about the specific shape or composition of the figure. Typically, to find the surface area of any 3-dimensional shape, you'd sum the areas of all the individual faces. For example, for a cube, you'd calculate the area of one face (side length squared) and multiply by 6, because a cube has 6 faces.

In this scenario, if the composite figure was a combination of cubes, you would calculate the total surface area by finding the surface area of each cube separately (surface area of a cube = 6 x side length squared) and then adjust for any faces that are not exposed. The total surface area is the sum of the surface areas of each part of the composite figure minus any overlapping areas.

Without the complete details of the figure, I cannot provide a numerical answer, but I hope this explanation helps you understand the steps involved in computing surface area for composite figures.

Answer:

2v - 2u

Step-by-step explanation:

We are to subtract u from v.

⇒ We have to take away 'u' from 'v'.

⇒ v - u

Doubling some quantity means make it twice as much. so, we just multiply the result by 2.

We get: 2(v - u)

⇒ 2v - 2u which is the required result.

Answer:

  f(x) = StartRoot x EndRoot minus 2

Step-by-step explanation:

The curve shown below seems to match your description.

___

Any square root function with a quantity added to it will not have any presence in quadrant 4, as its graph will be entirely above the x-axis.

Answer:

It is the first one. I just took the test on edg.

Step-by-step explanation:

There are 271 people riding the bus in the morning and evening.

The addition, subtraction, division, and multiplication of built-in functions can also be used to specify arithmetic operations. The term "arithmetic operator" refers to the operator that executes the calculation.

In the morning, 197 people ride the bus. In the evening, 10 less than 84 persons use the bus.

According to the given question, the required solution would be as:

In the evening, 10 fewer than 84 people ride the bus, which means :

84 - 10 = 74 people ride the bus in the evening. (apply the subtraction operation)

So, In total, 197 + 74 = 271 people (apply the addition operation)

Therefore, 271 people ride the bus in the morning and evening.

Learn more about Arithmetic operations here:

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To find the total number of people riding the bus throughout the day, we calculate the evening ridership by subtracting 10 from 84, giving us 74 evening riders. We then add this number to the 197 morning riders to get a total of 271 riders for the day.

The question asks us to find the total number of people who ride the bus throughout the day by considering both morning and evening ridership numbers. In the morning, 197 people ride the bus. For the evening, it is mentioned that there are 10 less than 84 people riding the bus.

To find out the number of evening riders, we subtract 10 from 84:
84 - 10 = 74 people ride the bus in the evening.

Now, we add the number of morning riders to the number of evening riders to get the total:
197 + 74 = 271 people ride the bus in all.

$ (40x + 5) is the expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Solution:

Given that,

Charge for ticket = $ (22x + 20)

Charge for checking bag = $ (x + 1)

Charge for food = $ 2x

Charge to upgrade to first class = $ (15x - 16)

To find: Expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Total cost = Charge for ticket + Charge for checking bag + Charge for food + Charge to upgrade to first class

[tex]Total\ Cost = (22x + 20) + (x + 1) + (2x) + (15x-16)\\\\Total\ Cost = 22x + 20 + x + 1 + 2x + 15x - 16\\\\\text{Combine the like terms}\\\\Total\ Cost = 40x+5[/tex]

Thus the expression to represent total cost is $ 40x + 5

Final answer:

The expression to calculate the total cost of flying first class, checking a bag, and buying food on the airline is calculated by adding the individual expenses, resulting in the simplified expression Total Cost = 40x + 5, where x is the variable that represents part of the costs.

Explanation:

To represent the total cost of flying first class, checking a bag, and buying food on the plane, we need to add the individual costs together. The airline charges $(22x+20) for a ticket, $(x+1) to check a bag, $2x for food, and $(15x-16) to upgrade to first class. Adding these costs together gives us the total cost:

Total Cost = Ticket + Bag + Food + Upgrade
Total Cost = (22x + 20) + (x + 1) + (2x) + (15x - 16)

Combining like terms, the expression simplifies to:

Total Cost = (22x + x + 2x + 15x) + (20 + 1 - 16)
Total Cost = 40x + 5

This expression can be used to calculate the total cost of flying first class with this airline, depending on the value of x.

To find the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, we use the sum formula for geometric series. The common ratio is 3, and there are 6 terms in the series. The sum of the series is 1456.

Evaluating the Sum of a Finite Geometric Series:

To evaluate the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, you need to use the formula for the sum of a finite geometric series:

Sum = a ×([tex]r^{n}[/tex]  - 1) / (r - 1)

where:

Let's identify these values:

To find n, use the formula for the nth term of a geometric series: a * r^(n-1). Given the last term is 972, we solve:

4 × [tex]3^{n-1}[/tex]= 972

Divide both sides by 4:

[tex]3^{n-1}[/tex]= 243

Recognize that 243 = [tex]3^{5}[/tex], so:

n-1 = 5

n = 6

Now, apply the sum formula:

Sum = 4 × ([tex]3^{6}[/tex] - 1) / (3 - 1)

Simplify the expression:

Sum = 4 × (729 - 1) / 2

Sum = 4 × 728 / 2

Sum = 4 × 364

Sum = 1456

Therefore, the sum of the series 4 + 12 + 36 + 108 + ... + 972 is 1456.

Answer:

1)commutative property of addition

2)commutative property of addition

3)B

Answer:

67

Step-by-step explanation:

13×5+2=67

Answer:

65

Step-by-step explanation:

13 x 5 = 65  

nothing will give u a remainder of 2 tho

65

Answer:

32

Step-by-step explanation:

Answer:32

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the distance be D and time T.

D ∞ T

D = kT

Where k is the constant of proportionality.

k = D/T

When D = 270miles & T = 6hours

k = 270/6

k = 45

:- D = 45T

When T = 8hours

D = 45 × 8

D = 360miles

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

Answer:

4.2

Step-by-step explanation:

divide 14.7 by 3.5

Answer: x=2/3y+ −2/3

Step-by-step explanation:

Answer:

3

5

÷

j

=

3

8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Answer: 2.50

Step-by-step explanation

we need to divide dollars / kilogram

Answer:

Step-by-step explanation:

X + 55 + 100 = 180

X = 180 - 100 - 55

X = 25°

Answer:

15(b)

16(a)

Step-by-step explanation:

15) 2x+10/2

Taking 2 common

2(x+5)/2

x+5

16) -2(-x-3)

(-2*-x)+(-2*-3)

2x+(6)

2x+6

Answer:

15: B. x+5

16: A. 2x+6

Answer:

Step-by-step explanation:

y=0.23x+1

f(2)=0.23(2)+1=0.46+1=1.46

f(0)=0.23(0)+1=0+1=1

f(-3)=0.23(-3)+1=-0.69+1=0.31

Answer:

the symplifayed version is 4

Answer:

Step-by-step explanation:

y= 2x - 4........(1)

3y - x = -7.......(2)

Putting (1) into (2)

3(2x - 4) - x = -7

6x - 12 - x = -7

6x - x = -7 + 12

5x = 5

x = 5/5

x = 1

And y = 2x - 4 ...(1)

y = 2(1) - 4

y = 2 - 4

y = -2

Answer:

first and third one

Step-by-step explanation:

did the test on edge

Answer:

211

Step-by-step explanation:

The total miles that Rachel's family travelled can be found to be 211 miles.

First day: 68 miles

Second day: 10 fewer miles than the first day, so:

= 68 miles - 10 miles

= 58 miles

Third day: 85 miles

Add up the miles traveled each day:

Total miles = 68 miles (first day) + 58 miles (second day) + 85 miles (third day)

Total miles = 211 miles

In conclusion, Rachel's family traveled a total of 211 miles over the three days of their car trip.

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Answer:

k(-10)=-6

Step-by-step explanation:

-10+2=-8

3(-8)=-24

-24/4=-6

Answer: 4.4

Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

Where a is the length of a side.

Substituting the value given , we have :

50 =  [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

50 x 2 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

100 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

Divide through by [tex]3\sqrt{3}[/tex]

[tex]a^{2}[/tex] = [tex]\frac{100}{3\sqrt{3}}[/tex]

[tex]a^{2}[/tex] = 19.24500897

Take the square root of both sides :

a = [tex]\sqrt{19.24500897}[/tex]

a = 4.3869

To the nearest tenth

a = 4.4