A truck gets 15 miles per gallon. A trip distance is 626 miles. Gas cost is $3.20. How much will it cost to make this trip?

Compute the derivative, dy/dx (use the chain rule):

y = 10/(1 + e ⁻ˣ) = 10 (1 + e ⁻ˣ)⁻¹

===>   dy/dx = -10 (1 + e ⁻ˣ)⁻² (-e ⁻ˣ) = 10e ⁻ˣ/(1 + e ⁻ˣ)²

Evaluate the derivative for x = 0 to get the slope of the tangent to the curve at (0, 5) :

dy/dx (0) = 10e ⁰/(1 + e ⁰)² = 10/(1 + 1)² = 10/4 = 5/2

Use the point-slope formula to get the equation of the tangent line:

y - 5 = 5/2 (x - 0)

===>   y = 5/2 x + 5

Answer:

Step-by-step explanation:

f(x) = -8x⁷ + 8x - 6

To find f(-x), we'll need to plug in -x instead of x.

f(x) = -8x⁷ + 8x - 6

f(-x) = -8(-x)⁷ + 8(-x) - 6

Answer:

m<y=22º

Step-by-step explanation:

180-19-41=120

m<1=120º

m<1≅m<2

m<2=120º

180-120-38=22

so y=22º

Answer:

y(3r)

Step-by-step explanation:

Answer:

it is 12

hope this answer helps you dear take care!

Answer:

[tex]2y - 5w \\ here \\ \: y = - 3 \\ w = - 1 \\ then \: = > 2 \times (- 3) - 5 \times ( - 1) \\ = 2 \times - 3 - 5 \times - 1 \\ = - 6 + 5 \\ = - 1 \\ thank \: you[/tex]

The solution of expression after substituting given values is, - 1

We have to give that,

An expression is defined as,

2y - 5w

Here, y = - 3

w = - 1

Now, Substitute y = - 3 and w = - 1 in above expression,

we get;

⇒ 2y - 5w

⇒ 2 × - 3 - 5 × - 1

⇒ - 6 + 5

⇒ - 1

Therefore, The solution is, - 1

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Part A

For Todd's class, we have this given info:

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

======================================================

Part B

For Garret's English class, we have:

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer:

25 percent of 1,875 is 468.75

Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

Answer:

X = 150

Step-by-step explanation:

1/2x + 50 = 125

1/2x = 75

2(1/2x) = 150

x = 150

Hope this helps. Pls give brainliest.

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

[tex]a \sqrt{2} [/tex]

where a is the side lengths of the square.

So this means the diagonal of the square is

[tex]18 \sqrt{2} [/tex]

The diagonal is also the diameter of the main circle. The formula for circumference is

[tex]d\pi[/tex]

where d is the diameter.

So the diameter is

[tex](18 \sqrt{2} )\pi[/tex]

or

[tex]18\pi \sqrt{2} [/tex]

The third option is correct

Answer:

-10 out side the radical sign then 2 in the sign

2 out side the radical 3 inside the radical

Step-by-step explanation:

Answer:

1-23.5

2-2

3-5.59

4-0.278

Answer:

The ratio equivalent to 5/3 is

For example, if we have a ratio 250 to 150, we can simplify it by dividing both numbers by 10 and then by 5 to get 5 to 3: 250 : 150 25 : 15 5:3 . The ratio 5 to 3 is the simplest form of the ratio 250 to 150, and all three ratios are equivalent.

Step-by-step explanation:

212 sit-ups = 8 minutes

1 minutes = 212÷8

1 minutes = 26.5

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

Pigs love to eat bacon! I wonder why. But, you learn something new everyday! :)

Step-by-step explanation:

value i believe will be for

X= 11/6y

Y=6/11x

it's neither

Step-by-step explanation:

It's not symmetrical

Answer:

C

Step-by-step explanation:

The function is neither

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

Answer:

The answer = -512

Step-by-step explanation:

To find -(2-^6)(2^3)

We have that -(2-^6) = {-(-2*-2*-2*-2*-2*-2)}=

-(64) which is -64

For (2^3) = (2*2*2) =8

Therefore -(2-^6)(2^) = (-64)(8)

which is = -512

So therefore -(2-^6)(2^3) = -512

Answer:

55% of 100 is 55% of 100

Step-by-step explanation:

just a guess

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a.) How much money does Spongebob earn per hour?

b.) How much money does Squidward earn per hour?

c) Who earns more per hour? Justify your answer

Spongebob earns more than that of squidward per hour.

Refer to attachment for Solution ~

Answer:

parallelogram

Step-by-step explanation:

Answer:

The answers are given in the attachment.

Answer:

D

Step-by-step explanation:

First student's calculation :

Area = 3*20*20 = 1200 sq. yds

Second student's calculation:

Area = 3.14 * 20 * 20 = 1256 sq. yds

Difference = 1256 - 1200 = 56 sq yds

Answer is D

Answer: 315/15 gallons

Step-by-step explanation:

You have to divide 315 by 15

Answer:

y≤|x+1|

Step-by-step explanation: