Let f(x) = logx

What is the average rate of change of f(x) from 4 to 6?

Round to the nearest hundredth.

(a.) 0.09
(b.) 0.18
(c.) 0.20
(d.) 0.41

By using the given information we can infer the domains of the function, and we will see that the piecewise function is:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.

Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

Where the y-intercept on the second part is equal to the cost for the first four lines of the add.

If you want to learn more about piecewise functions, you can read:

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Answer:

ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2

8/3 or 2 2/3 or a miles a hour

2.6667 mph

Hope This Helps!!!

Answer:

We need to find the circumference, and in order to find the circumference we must know the formula for it.

Formula for circumference of a circle;

a = 2πr

Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.

Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13

Now we just plug in the actual values in the formula:

a = 2πr

a = 2 x 3.14 x 13

a = 18.84 feet

But now, we need to find how many revolutions it would take to get to 500 feet.

So we divide 500 feet by 18.84 feet;

500/18.84 = 26.53, around 27 revolutions.

Answer:

i beilive it is 1/1

Step-by-step explanation:

Answer:

profit of $2325

Step-by-step explanation:

so a loss of $4000 in the first month, with profit of $575 each month. let's say a year have 12 months, first month with loss, the other 11 months with profit. so, $575 x 11 months = $6325. $6325 is the amount for 11 months with $575 profit. take $6325 and minus with $4000 and you will get $2325, which is the profit for the first year.

Answer:

70,000

Step-by-step explanation:

hey you asked me to round. =D.

Answer:

(a)

Step-by-step explanation:

The relationship between temperatures measured in Fahrenheit, and in Celsius can be represented using equations.

Given that:

[tex](F_1,C_1) = (32,0)[/tex]

[tex](F_2,C_2) = (212,100)[/tex]

First, calculate the slope (m)

[tex]m = \frac{C_2 - C_1}{F_2 - F_1}[/tex]

So we have:

[tex]m = \frac{100 - 0}{212 - 32}[/tex]

[tex]m = \frac{100}{180}[/tex]

[tex]m = \frac{5}{9}[/tex]

So, the equation is calculated using:

[tex]C= m(F - F_1) + C_1[/tex]

So, we have:

[tex]C = \frac 59(F - 32) + 0[/tex]

[tex]C = \frac 59(F - 32)[/tex]

Rewrite as:

[tex]C = \frac{(F - 32)}{9/5}[/tex]

[tex]C = \frac{(F - 32)}{1.8}[/tex]

To solve for F, we multiply both sides by 1.8

[tex]1.8C =F - 32[/tex]

Add 32 to both sides

[tex]F = 1.8C + 32[/tex]

(a) The temperature of Oslo in F

We have:

[tex]C = 16[/tex]

So, we make use of:

[tex]F = 1.8C + 32[/tex]

[tex]F = 1.8 \times 16 + 32[/tex]

[tex]F = 60.8[/tex]

The temperature in Oslo is [tex]60.8^oF[/tex]

(b) When F = C

We have:

[tex]F = 1.8C + 32[/tex]

Substitute F for C

[tex]F = 1.8F +32[/tex]

Collect like terms

[tex]F - 1.8F =32[/tex]

[tex]-0.8F =32[/tex]

Make F the subject

[tex]F = \frac{32}{-0.8}[/tex]

[tex]F = -40[/tex]

Hence,

[tex]-40^oF[/tex] is equivalent to [tex]-40^oC[/tex]

Read more about equations at:

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The answer would be 59. This is for law of cosines (sas)

The requried length of side w is approximately 44 cm to the nearest centimeter.

These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.

To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:

w/sin(W) = x/sin(X)

where X is the angle opposite side x.

We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:

X = 180° - W - V

X = 180° - 28° - 180°/2

X = 72°

Now we can plug in the values into the law of sines equation:

w/sin(28°) = 97/sin(72°)

Solving for w, we get:

w = sin(28°) * 97 / sin(72°) = 43.9 cm

Therefore, the length of side w is approximately 44 cm to the nearest centimeter.

Learn more about trigonometry equations here:

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#SPJ3

Answer: y= 3x

Step-by-step explanation:

where's the number line?

Answer:

The ratio of blue balloons to the total number of balloons is 1:2.

Answer:

i think that you forgot to attach the model?

Step-by-step explanation:

Answer:

2x=45

Step-by-step explanation:

i did it

Answer:

[tex](f\circ g)(8)=-3[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

For practical purposes, it can be found by substituting g into f.

The functions are defined as follows:

[tex]f(x)=x^2-4[/tex]

[tex]g(x)=7-x[/tex]

To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.

[tex]g(8)=7-8=-1[/tex]

[tex](f\circ g)(8)=f(g(8))[/tex]

[tex](f\circ g)(8)=f(-1)[/tex]

[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]

[tex]\boxed{(f\circ g)(8)=-3}[/tex]

answer : z ‹ 6

explanation :

inequality given is x + 2 ‹ 8

take the +2 and move it to the back to 8, so it will be -2.

then you will directly get x ‹ 8 - 2

so the answer will be x ‹ 6.

I'm not sure whether you had the answer choice z is actually x, but if it does the answer is x ‹ 6 and not z ‹ 6

Answer:

84.07

Step-by-step explanation:

eighty-four is 84

hundredth is .01 so seven-hundredths is .07

so eight-four and seven-hundredths is 84.07

Answer:

84.07

Step-by-step explanation:

7 would be where it is because when you do decimals and there are numbers behind the decimals you go back words.

Answer: 15cm squared

Step-by-step explanation:

Find the area of the rectangle:

Formula: length x width

So 6 x 4 which is 24

Then, find the square:

Formula: side x side

So 3 x 3 which is 9

Finally subtract the two areas to find the remaining sheet of paper

24 - 9 = 15

Answer:

the remaining sheet of paper is 3cm long and 1 cm wide

Step-by-step explanation:

the length of rectangular sheet is 6cm and when you cut 3 cm from it it remains 3 cm

the breadth of rectangular sheet is 4 cm and when you cut 3 cm from it 1 cm is left.

Answer:

158.76 square centimeters

Step-by-step explanation:

The quadrilateral is made up of 2 right triangles if you divide the quadrilateral using line segment BD.

The triangle on the bottom has an area of 11.7*15.6/2, which is 91.26.

The triangle on the top has an area of 7.5*18/2, which is 67.5.

If you add up the area of these 2 triangles, you get 67.5 + 91.26 = 158.76

Therefore, the answer is 158.76 square centimeters.

I hope this helped you.

Answer:

It would be 158.76 square centimeters

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of the cars driven by the students at Chillville have gas mileages between 24.0 and 32.0 miles per gallon.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 28 mpg and the standard deviation of 4 mpg, we have that 24.0 and 32.0 mpg is within 1 standard deviation of the mean, hence the percentage is of 68%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

333.12

Step-by-step explanation:

13.88x6= 83.28x4=333.12

Hey there!

5x = 120 {Obtain a formula for x }

=> [tex]\fbox{5x = 120}[/tex] { Divide both side by 5}

=> [tex]\fbox{5x/5 = 120/5}[/tex] { divide 5x by 5}

=> [tex]\fbox{x = 120/5}[/tex] { Divide 120 by 5}

=> [tex]\fbox{x = 24}[/tex]

Therefore, x = 24°

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

Answer:

[tex]y=Cx^2[/tex]

Step-by-step explanation:

Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.

The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.

This leaves us with [tex]y=Cx^2[/tex] as our general solution.

Answer:

5 in

Step-by-step explanation:

Answer:

EG=5

Step-by-step explanation:

Congruent means equal to in math so since it is equal to the other triangle it must be the same in some way

and with the 90-degree angle, it shows you where it is pointing

with angle B=F

E=A

G=C

the lines connecting them are also equal

AB=EF

BC=FG

EG=AC

Since AC=5

threrfore EG also equals 5

Answer:

The hypotenuse of the right triangle is 20.

Step-by-step explanation:

c=[tex]\sqrt\ a^2+b^2[/tex]

[tex]\sqrt{16^2+12^2}=20[/tex]

Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.