If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per gallon of gas?

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

An expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

" Amount is defined as the total of any given quantity."

According to the question,

Total number of coins = 17

Number of nickels coins = N

Number of dimes coin = 17 - N

'Y' express the amount of money

Represent amount of money in cents

1 dime = 10 cents

1 nickel = 5 cents

Expression to represents amount of money in cents,

5N + 10 (17 -N)  = Y cents

Expression to represents amount of money in nickels,

1 dime = 2 nickel

N + 2(17 - N) = Y nickels

Hence, an expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

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Answer:

true

Step-by-step explanation:

Answer:

The answer of this question is 134.83

Answer:

264

Step-by-step explanation:

Volume = Area of cross section x height

Area of cross section = 1/2 bh

1/2 (8x6) = 24

24 x 11 = 264 yd^3

Answer:

$64

Step-by-step explanation:

Let the pay of Bella be x and Glen be y.

ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.

Glen earned 4*16=64 bucks on Friday.

Answer:

Low = 72/895

Medium = 112/895

High = 711/895

Step-by-step explanation:

Low = number of low quality products over the total number of products

72 / 72 + 112 + 711

Medium = number of medium quality products over the total number of products

112 / 72 + 112 + 711

High = number of high quality products over the total number of products

711 / 72 + 112 + 711

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Answer:

Low

72/895

Medium

112/895

High

711/895

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

I looked it up and that's what I got

Basically, everything except choice A.

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

Explanation:

All exponential functions can be written into the form y = a*b^x

The b term determines if we have growth or decay.

If 0 < b < 1, then we have decay. If b > 1, then we have growth.

------------

For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.

Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.

Choice C has b = 1/3 = 0.33 approximately which is also decay.

Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.

Choices B through D have b values such that 0 < b < 1.

------------

Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.

I used GeoGebra to make the graph.

Answer:

Hello,

We don't need vw(x) !

[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Answer:

{4 |8}. 96. 24

sin4B{3. |9}= ___. = ___ = cos2A

{10|10} 100. 25

{9 |9}

For a geometric sequence

a, ar, ar ², ar ³, …

the n-th term in the sequence is ar ⁿ ⁻ ¹.

The first sequence is

1, 3, 9, 27, …

so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.

The second sequence is

400, 200, 100, 50, …

so of course a = 400, and you can easily solve for r :

200 = 400r   ==>   r = 200/400 = 1/2

Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.

Similarly, the other sequences are given by

3rd: … 4 × 2ⁿ ⁻ ¹

4th: … 400 (1/4)ⁿ ⁻ ¹

5th: … 5ⁿ ⁻ ¹

6th: … 1000 (1/2)ⁿ ⁻ ¹

7th: … 2 × 5ⁿ ⁻ ¹

Answer:

this looks complicated

Step-by-step explanation:

Answer:

(i) 7/10

(ii) 3/10

(iii) 1/5

(iv) Rs 40,000

Step-by-step explanation:

The fraction of the salary spent on food = 1/2

The fraction of the salary spent on rented house fee = 1/5

(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10

(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10

The fraction of the remainder spent for children's education = 1/3

The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10

(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5

(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000

Let x represent his whole salary, we have;

(1/5) × x = Rs 8,000

x = 5 × Rs 8,000 = Rs 40,000

His whole salary is Rs 40,000.

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

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

Answer:

[tex]{26}[/tex]

Step-by-step explanation:

[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]

[tex] = \sqrt{25 + 1} [/tex]

[tex] = \sqrt{26} [/tex]

Answered by GAUTHMATH

Answer:

26

Step-by-step explanation:

(-5, 1) (0, 0)

sqrt(5^2 + (-1^2))

sqrt(25 + 1)

sqrt(26)

So, 26 goes under the radical.

Answer:

38,250

Step-by-step explanation:

Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.

Answer:

I say the fourth one just because

Answer:

y= -2x +8

Step-by-step explanation:

perpendicular lines have a negative reciprocal gradient so

1/2 becomes -2/1 which is the gradient

sub in the values of x and y

2= -2 (3) +C

2= -6 + C

8=C

y=-2x +8

Answer:

y = -2x + 8

Step-by-step explanation:

for me the easiest way is simply to transform the slope and then just determine the y-intersect.

the slope of the original line is 1/2.

it is always the factor of x and represents the y/x ratio of the function (how many units is y changing when x changes a certain number of units).

a perpendicular line (90 degree angle) simply reverses x and y and the sign of the original slope.

so, the slope of the perpendicular line is -2, and the equation is

y = -2x + c

and c we get by using the point coordinates :

2 = -2×3 + c

2 = -6 + c

c = 8

so, we have

y = -2x + 8

Answer:

83°

Step-by-step explanation:

A triangle adds up to 180°

180-(53+44)

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]

Answer:

13 and 39

Step-by-step explanation:

The sum of two numbers = 52

One number is 3 times as large as the other

Equation:

x + 3x = 52

4x = 52

52 / 4 = x

x = 13

13 * 3 = 39

The numbers are 13 and 39

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9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

Answer:

it's the third one.

Step-by-step explanation:

It should be a bold/filled circle on the line instead of an empty one.

Answer:

The similarity statement is RTS and ACB. Other options are correct

6 It is divisible by 2 and by 3.

4 it is divisible by 4...

The divisibility rules of 4 and 6 are completely different. In the divisibility rule of 4, if the last two digits are zeros or the number formed by the last two digits is exactly divisible by 4, then we can say that a number is divisible by 4.

HOPE ITS HELPFUL FOR U MATE

Answer: [tex]9\times 11\ ft^2[/tex]

Step-by-step explanation:

Given

Height is [tex]2\ ft[/tex] more than its width

Suppose the width is [tex]x[/tex]. So, height becomes [tex]x+2[/tex]

Area of the painting is [tex]99\ ft^2[/tex]

Area is the product of width and height

[tex]\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9[/tex]

Neglect the negative values

[tex]\text{Width =}9\ ft\\\text{height =}9+2=11\ ft[/tex]

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation: