A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).

Answer:

0.81

Step-by-step explanation:

• 3 + k , 18 - k and 5k + 1 are in AP .

• The value of K .

• As we know that, In AP common difference is same :

• b - a = c - b

=> 2b = a + c

Here ,

• a = 3 + k

• b = 18 - k

• c = 5k + 1

=> 2 ( 18 - k ) = 3 + k + 5k + 1.

=> 36 - 2k = 4 + 6k

=> 36 - 4 = 6k + 2k

=> 32 = 8k

=> k = 32/8

=> k = 4

Hence , the value of k is 4.

Answer:

k=4

Step-by-step explanation:

Since the given terms are in A.P., the common difference will be the same

So, 18-k-3-k = 5k+1-18+k

15-2k = 6k-17

6k+2k = 17+15

8k = 32

k = 4

Answer: 15:26

Step-by-step explanation:

Given: Car a travels 15 miles while car b travels 26 miles.

Now, the ratio of the distance traveled by car a to car b is given by :-

[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.

So, the the ratio of the distance traveled by car a to car b = 15:26

Hence, the ratio of car a to car b = 15:26

Answer:

He makes more than $11 per hour plus $35 in tips

Step-by-step explanation:

First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3

Here are inequality key words to help better understand the signs:

> : Greater Than, More Than

≥ : More Than or Equal To, At Least, No Less Than, A Minimum of

< : Less Than, Fewer Than

≤ : Less Than or Equal To, At Most, No More Than, A Maximum of

Answer: 10,000

Step-by-step explanation: 10x10x10x10=10,000.

Answer:

10000

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

This would be true if the lines are parallel.  We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem

Answer:

the lines arent parallel

Step-by-step explanation:

the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

Answer:

27 years.

Step-by-step explanation:

2000->100%

?->3.5%

=70 people growth each year

3900-2000=1900[expected growth]

70-per year

1900-?

1900*1/70=27.1

=27.|1

27 years

It will take 9 years for the town's population to reach 3900.

"An exponential function is a function of form f (x) = a^(x), where a is the base."

f(x) = a×(1+r)^x

where,

f(x) = exponential growth function

a = initial amount

r = growth rate

x = number of time intervals

For given situation,

initial population: a = 2000,

growth rate r = 3.5/100

⇒ r = 0.035

f(x) = 3900

We need to find the nearest year to reach the population 3900.

i.e., to find value of x(years)

Using the exponential growth function,

⇒ 3900 = 2000(1 + 0.035)^x

⇒ 3900/2000 = (1.035)^x

⇒ 1.95 = (1,035)^x

⇒ [tex]x=log_{1.035} 1.95[/tex]

⇒ x = 19.41

⇒ x ≈ 19

Therefore, it will take 19 years to reach 3900.

Learn more about exponential growth here:

https://brainly.com/question/11487261

#SPJ2

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

Answer:

Domain:

[tex] - 2 \leqslant x \leqslant 2[/tex]

Range:

[tex] - 2 \leqslant y \leqslant 3[/tex]

Step-by-step Explanation:

The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

Answer:

100

Step-by-step explanation:

100 x 0.82 =0.0082

Answer:

por favor, verifique a explicação

Step-by-step explanation:

Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;

a. 51 = 3 * 17

b. 56 = 2 * 2 * 2 * 7

c. 65 = 5 * 13

d. 77 = 7 * 11

e. 48 = 2 * 2 * 2 * 2 * 3

f. 50 = 2 * 5 * 5

g. 80 = 2 * 2 * 2 * 2 * 5

h. 99 = 3 * 3 * 11

i. 108 = 2 * 2 * 3 * 3 * 3

j. 132 = 2 * 2 * 3 * 11

k. 210 = 2 * 3 * 5 * 7

l. 180 = 2 * 2 * 3 * 3 * 5

m. 234 = 2 * 3 * 3 * 13

Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

⇒

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

−

X

=

Y

Hopefully this helps!

Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

Answer:

10x-20

Step-by-step explanation:

Answer:

distribute the 5

5×2x then 5×-4

10X-20 that's the answer

Answer:

Explained below.

Step-by-step explanation:

Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach.  This sort of sampling technique results in a biased sample.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.

In this case the first sample is an example of convenience sample and the second is a systematic sample.

Answer: A

Sample 1 is biased.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

to find perpendicular slope, flip the number and the sign

Answer:

y=3x

Step-by-step explanation:

Equation is y=mx+b

Slope is 3/1 or 3x.

Y-intercept is at the origin or (0,0), so you take the y-coordinate.

Plug them into the equation.

y=3x+0 or y=3x

Answer:thats tuff

Step-by-step explanation:

Study, thank you for tuning in my Ted talk.

Step-by-step explanation:

Hey there!

Here;

The given points are; (6,5) and (9,p).

Slope (m)= -4

Use slope formula;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]

Simplify it to get answer.

[tex] - 4 = \frac{p - 5}{3} [/tex]

[tex] - 12 + 5 = p[/tex]

Therefore, p= -7.

Hope it helps...

Answer:

8 1/3

Step-by-step explanation:

153.83/142=1.0833333, meaning she made an additional 8.33333 percent more profit.

Answer:

408.2436

Step-by-step explanation:

Answer:

408.2436 is the answer, you can use calculator too if you want

See attachment for math work and answer.

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

Answer:

Continuous graphs have all real numbers

Discrete graphs have whole numbers

Step-by-step explanation:

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Answer:

I got you buddy! it's (32+2)(32+10)

Step-by-step explanation:

[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

Find one factor of the form  [tex]kx^m+n[/tex], where [tex]kx^m[/tex] divides the monomial with the highest power [tex]9x^4[/tex] and [tex]n[/tex] divides the constant factor [tex]20[/tex].

Factor the polynomial by dividing it by this factor:

The following polynomials are not factored since they do not have any rational roots:

______________________________

 [tex]\bold{Answer:}[/tex]

The factored form of [tex]9x^4+36x^2+20[/tex] is:

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

Answer:

B

Step-by-step explanation:

Both 0.684 and 0.1222 are rational

Answer:

B.

Step-by-step explanation:

Because 0.12222222.... and 0.684 are rational numbers.

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