The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.

Number of Miles Gallons of Gasoline
115 5
230 10
345 15
How do the unit rates of miles per gallon compare for these two vehicles?

The van travels the same number of miles per gallon as the car.
The van travels 23 more miles per gallon than the car.
The van travels 5 more miles per gallon than the car.
The car travels 5 more miles per gallon than the van.

Answer:It’s a long triangle

^^^^^^^^^^^^^^^^^^^^^^^^^^

Answer:Howwwwwwww!!!!!!.”?.?....?.??.??.

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

In this question we shall use the following derivative rules:

Derivative of a sum of functions

[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)

Derivative of a product of functions

[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)

Derivative of a constant

[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)

Derivative of a function multiplied by a constant

[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)

Derivative of the cosine function

[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)

Derivative of the tangent function

[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)

Chain rule

[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)

Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:

[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]

[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/21202620

Answer:

A

Step-by-step explanation:

30% of 30000 is 9000, 30000-9000=21000 (1 year)

30% of 21000 is 6300, 21000-6300=14700 (2 years)

30% of 14700 is 4410, 14700-4410= 10290 (3 years)

30% of 10290 is 3087, 10290-3097= 7203 (4 years)

30% of 7203 is 2160.9, 7203-2160.9= 5042.1 (5 years)

Answer:

3 hours

Step-by-step explanation:

24/7 = 3.42 hours and rounded that will be 3 hours

Answer:

15

Step-by-step explanation:

Given

Hypotenuse (h) = 17 cm

perpendicular (p) = 8 cm

base (b) = ?

we know by using Pythagoras theorem

b = √h² - p²

= √ 17² - 8²

= √ 225

= 15 cm

or

YZ = 15 cm

Hope it will help :)❤

Answer:

48

Step-by-step explanation:

Add 84+48 to get 132. subtract 180 the total to the 132 to get 48.

Answer:

its not 10 points its says 8

Step-by-step explanation:

Answer:

44:99 = 4:9

108:36 = 3:1

33:9 = 11:3

49:14 = 7;2

hope it helps

Answer:

40°

Step-by-step explanation:

Base length, b = adjacent = 3020 feets

Height of building, h = opposite = 2534 feets

The angle of elevation formed :

Using the trigonometry relation:

Tan θ = opposite / Adjacent

Tan θ = 2534 / 3020

Tan θ = 0.8390728

θ = tan^-1(0.8390728)

θ = 39.999

= 40°

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

Step-by-step explanation:

7/10 - 1/2 = 7/10 - 5/10 = 2/10

Answer:

4/4

Step-by-step explanation:

Answer:

angle 3 and angle 2 are complementary angle.

Answer: Its B

Step-by-step explanation: Hope this was helpful I am not to sure this is the right answer but let me know if it is

the correct answer is D 43.20

Answer:

A is the answer

Step-by-step explanation:

8% is the same same as 3.20$

So subtract that from 40$

Hope I could help !

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

Answer:

Tan ∠E = 63/16 = 3.9375

Step-by-step explanation:

Tan ∠E = 63/16 = 3.9375

Answer:

Try 63/16 which is 4.0625

Step-by-step explanation:

Again im sorry if its incorrect. XD hope it helps tho. doing the rest o ur question noe .. tehe

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

The fess plus interest of the month will be $86 after missing a payment.

Given:

Balance  = $4600

Interest rate = 0.01

Step 1: Calculate the interest for the month.

Interest for the month = Balance × Monthly Interest Rate

Substituting the value back to the formula

Interest for the month= $4,600 × 0.01

                                      = $46

Step 2: Add the late payment fee.

Late payment fee = $40

Step 3: Total fees plus interest for the month.

Total = Interest for the month + Late payment fee

Total = $46 + $40

Total = $86

So, fees plus interest for the month when you miss a payment amount to $86.

Learn more about interest here:

https://brainly.com/question/28272078

#SPJ6

Answer:

Answer to question 7: -2x+5y+9

Answer to question 8: 2x-6y+1

Answer:

7.) -2x + 5y + 9 ; 8.) 2x - 6y + 1

Step-by-step explanation:

7.)

7 + 2x + 5y - 4x + 2 ⇒ -2x + 5y + 9

2x - 4x ⇒ -2x

5y ⇒ 5y

7 + 2 ⇒ 9

8.)

-4y + 2x - 2y + 1 ⇒ 2x - 6y + 1

2x ⇒ 2x

-4y - 2y ⇒ -6y

1 ⇒ 1

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

H. 162.56 cm

Step-by-step explanation:

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

Find the slope this way Hanna,

Step-by-step explanation:

slope = m

m = (y2-y1) / (x2-x1)

you are given the two points

P1 = (-2,-6)  in the form (x1,y1)

P2 = (2,2) in the form (x2,y2)

plug those into the slope formula above

m = (2-(-6) ) / (2 - (-2) )

m = (2 +6) / (2+2)

m = 8 / 4

m = 2  

if you need more explanation just leave a comment, it will show up and I'll come look at your question

Answer:

80% is greater

Step-by-step explanation:

Answer:

The number 80% is greater than 7/9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Y is the total cost, 22x is how many tickets bought, and 10 is the parking cost

Answer:

2.5 and -0.75

Answer:

Step-by-step explanation:

Remark

Since the chords of the circle are equal and non intersecting, The 2 bisecting perpendiculars are going to be equal.

Equation

5x = 7x - 8           Subtract 7x from both sides

5x - 7x = - 8

-2x = - 8              Divide by - 2

x = - 8/-2

x = 5

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

Answer:

2935 Mexican pesos

Step-by-step explanation:

First, it's worth noting that at current exchange rates, your $100 will equal upwards of 2,395 pesos in Mexico.

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

Answer:

140.00

Step-by-step explanation:

20 x 4 = 80 hours worked

80 x 8.00 = $640.00

640.00 - 500.00 = 140.00

Answer:

-9x - 10

Step-by-step explanation:

Answer:

x=9/2

Step-by-step explanation:

So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I  add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.