A car uses 15 gallons of gasoline to travel 450 miles.
How far can the car travel on 18 gallons of gasoline?

1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.

2) Initial value of g(x) or g(0) is 1

3) Value of g(1) is -7

4) Value of g(-1) is -4/7

The given function is:

[tex]y=2(3.5)^x[/tex]

We know that when a function is reflected about the x-axis,

y becomes -y while x is unchanged.

So, the reflection of [tex]y=2(3.5)^x[/tex] about x-axis is:

[tex]-y=2(3.5)^x[/tex]

[tex]y=-2(3.5)^x[/tex]

[tex]g(x)=-2(3.5)^x[/tex]

g(x) is an exponential function defined everywhere.

[tex]g(0) =-2[/tex]

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

[tex]g(-1) =-\frac{4}{7}[/tex]

Therefore, 1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.

2) Initial value of g(x) or g(0) is 1

3) Value of g(1) is -7

4) Value of g(-1) is -4/7

To get more about reflections visit:

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Answer:

1. g(x) = -2 (3.5x)

2. -2

3. g(−1) = 0.57

4. g(1) = -7

Step-by-step explanation:

Answer:

5.7 hours

Step-by-step explanation:

Divide 4 3/4 by 5/6 hope this helps! :)

Answer:

mean 15 5/9,  medain 11

Step-by-step explanation:

Answer:

m<AJK = 90 degrees

m<BKJ = 90 degrees

m<CLJ = 90 degrees

The line of the reflection has been returned to its original position.  Use the ruler to measure these two segments.

BK = 2.2 units

KB' = 2.2 units

Record the lengths of these segments.

AJ = 5.6 units

JA' = 5.6 units

Record the lengths of these segments.

CL = 3.8 units

LC' = 3.8 units

Which segments have equal lengths?

corresponding segments

Change the position of the line of reflection.  Does the line of reflection appear to be a perpendicular bisector of the segments that connect corresponding vertices?  

Yes

Answer:

they are all 90

Step-by-step explanation:

edg 2021

Answer:

[tex] 8.7 \times {10}^{ - 2} [/tex]

Step-by-step explanation:

[tex].087 = 8.7 \times {10}^{ - 2} \\ [/tex]

After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

It is given that the website hosting the song uses the function:

[tex]\rm f(t) = 2002t^2[/tex]    to represent the number of daily hits over time, where t is time in days.

It is required to predict the day on which the number of daily hits reaches 1,000,000.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm f(t) = 2002t^2[/tex]

When f(t) = 1,000,000 then what will be the value of 't'

Simply:

[tex]\rm 1,000,000 = 2002t^2\\\rm 499.500 = t^2\\\rm \sqrt{499.500} = t\\\rm t = 22.349\ Days[/tex]

t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).

Thus, after 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes), and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

Learn more about the function here:

https://brainly.com/question/5245372

The day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, suppose the day is t = d (dth day from the launch of the song) on which the daily hits reaches 1,000,000.

Then, evaluating the function [tex]f(t) = 2002(t^2)[/tex] at t = d should give us 1000000

Putting it, we get:

[tex]f(d) = 1000000\\2002(d^2) = 1000000\\\\\text{Dividing both the sides by 2002}\\\\d^2 = \dfrac{1000000}{2002}\\\\d = \sqrt{\dfrac{1000000}{2002}}\approx 22.35[/tex]

So after 22th day, ie on 23rd day (as 22.35 = 22 + 0.35 which shows 23rd day is still not completed) of the launch of the song, the number of daily hits reaches 1,000,000.

Thus, the day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.

Learn more about evaluating a function at a value  here:

https://brainly.com/question/2753269

Answer:

$14,182.43

Step-by-step explanation:

we have the equation [tex]29800(.94)^12[/tex] that is supposed to be to the 12th power. but we have the .94, since the 6% is a negative. a good starting point is always 1.00, since 1=100, and if it was increasing in value, it would be 1+.06, and if it was negative like this, it would be 1-.06, which is the .94 that we have. and we put it to the 12th power because there are 12 years, and it only depreciates once per year. hope this helps, please mark as brainlest.

Answer:

Step-by-step explanation:

First, convert percent to decimal:

11.5% = 0.115

Multiply by amount borrowed:

0.115*1200= 138

Multiply interest amount per month (138) by 3

138*3 =$414.00 interest

1242.

Answer:

(x + y)^2 - 2xy

Answer:

First, we will find the coordinates of ABCD:

A: (1,1)

B: (1,4)

C: (4,6)

D: (5,3)

Now we will find the coordinates of PQRS:

P: (5,5)

Q: (8,6)

R: (7,4)

S: (7,2)

Have a great day!!

Pleas rate and mark brainliest!!

To find a coordinate of a vertice, we see the point that the x axis and the y axis intersect. And it's written in the form of (x;y - x axis first, y axis second)

Polygon 1 :
B vertice : (1;4)
A vertice : (1;1)
C vertice : (4;6)
D vertice : (5;3)

Polygon 2 :

P vertice : (5;5)
Q vertice : (8;6)
R vertice : (7;4)
S vertice : (7;2)

Answer:

Step-by-step explanation:

A 10= 4 plus 6

Answer:

15 feet

Step-by-step explanation:

since its 2 inches to 1 foot, just divide the 30 inches by 2 to get 15 feet

Answer:

the answer is b

Step-by-step explanation:

first i did 18 divided by 6=3

then 8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Answer:

B.) 63

Step-by-step explanation:

18 divided by 6 = 3

8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Answer:

Related order pairs that have one value from the second components of the order pain.

Hoped this worked :3

Answer:

A simple definition for a function in math is a relation between two quantities that has exactly one output value for each input value.

Step-by-step explanation:

Some other definitions you may need to know to understand the function definition is an input is a value that is put into a relation and an output is a value that results from putting an input into a relation. Lastly, a relation is a relationship between two sets of values, inputs, and outputs.  

I hope this helps you! :)

The lowest is the cash price for other options, you have to pay more for a laptop and refrigerator. Then the suitable method is to save up and pay cash.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

If someone were unable to pay cash right now then the suitable method will be

For laptop:

Rent to own payments will be

$150 each month for 12 months, then the total becomes

⇒ 150 × 12 = $1800

The installment plan will be

$100.83 each month for 12 months, then the total becomes

⇒ 100.83 × 12 = $1209.96

The cash price is $1000. So, the lowest is the cash price for other options you have to pay more.

For refrigerator:

Rent to own payments will be

$140 each month for 12 months, then the total becomes

⇒ 140 × 12 = $1680

The installment plan will be

$80.67 each month for 12 months, then the total becomes

⇒ 80.67 × 12 = $968.04

The cash price is $800. So, the lowest is the cash price for other options you have to pay more.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer:

=20x-20

Step-by-step explanation:

40x-20x=20x

20x-20

=20x-20

Answer:

for what bro

Step-by-step explanation:

please mark me as brainlest

First you do $ 1,907.87 - $345 = $ 1562.87

then you do $995.42

which then means that her purse probably cost $995.42

Answer:

Jose would have accumulated $23,325.21

Step-by-step explanation:

Giving the following information:

The interest rates are not clear. If they are not correct, replace them in the formulas.

Jose:

Initial investment= $8,000

Interest rate= 7.38 compounded daily.

Adam:

Initial investment= $8,000

Interest rate= 7.78% compounded annually.

Future value= 8,000*3= 24,000

First, we need to calculate the time required for Adam to triple its investment.

n= ln(FV/PV) / ln(1+i)

n= ln(24,000/8,000) / ln(1.0778)

n= 14.66 years

It will take Adam 14.66 years to triple the investment.

Now, the future value for Jose:

FV= PV*(1+i)^n

PV= 8,000

i= 0.0738/365= 0.0002

n= 14.66*365= 5,351 days

FV= 8,000*(1.0002^5,351)

FV= $23,325.21

Jose would have accumulated $23,325.21

Answer:

$23294

Step-by-step explanation:

im smart

deltamath gang

Answer:

117

Step-by-step explanation:

38 + x + y = 180

x + y = 142

180 - 101 = 79

x + 79 = 142

x = 63

180 - 63 = 117

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

You need a 6 squeezes of lemon.

Step-by-step explanation:

If 1 bottle contains 1/4 , you need a 2 squeezes of lemon.

4 lemons if 1/2

8 squeezes if 1 bottle

Answer:

Step-by-step explanation:

The area of the triangle is 62.8 Square cm

The figure represents the given parameter

From the figure, we have the following values

a = 10 cm

b = 13 cm

C = 105 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 10 * 13 * sin(105 degrees)

Evaluate

Area = 62.8

Hence, the area is 62.8 Square cm

Read more about area at

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#SPJ1

Answer:

I'm surprised to inform you that yes, yes I do.

Step-by-step explanation:

If you didn't know, all those lines stand for something. Stand for an equation.

For example, let's take the first line shown, question number 5.

The line moves down on the number line, going from 4 all the way down to -6.

Since the dot is filled in, that means that the line includes 4, which means our answer's greater than or lesser than sign should have a line under it, meaning "or equal to".

A is the only reasonable answer for question 5, because it reads "X (which you could substitute for any point in the blue line) is less than or equal to 4."

If we use what we learned from question 5 for the next 3 questions, we could rightly say that the answer to 6 is D, the answer to 7 is C, and the answer to 8 is B.

If I'm wrong on any of these, feel free to scream profanities. Wouldn't be the first time.

Answer:

Step-by-step explanation:

21(2 - x) + 12x = 44

42-21x+12x=44

42-9x=44

-42 -42

-9x=2

X=-2/9

Answer:

x = 2/33

Step-by-step explanation:

21 x 2 - 21 x x + 12 x x = 44

42 - 21x + 12x = 44

42 - 33x = 44

-33x = 44 +42

-33x = 86

x = -86/33

PS: I am not sure of the answer, but the steps should be reliable

Using the relation between velocity, distance and time, it is found that the speed of the blimp in still air is of 35 mph.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

153 miles with a tailwind (with the wind), that is, with a velocity of v + 16, so:

[tex]v + 16 = \frac{153}{t}[/tex]

[tex](v + 16)t = 153[/tex]

[tex]t = \frac{153}{v + 16}[/tex]

57 miles with a headwind (against the wind), that is, with a velocity of v - 16, hence:

[tex]v - 16 = \frac{57}{t}[/tex]

[tex](v - 16)t = 57[/tex]

[tex]t = \frac{57}{v - 16}[/tex]

Since the times are equal, we have that:

[tex]\frac{153}{v + 16} = \frac{57}{v - 16}[/tex]

153(v - 16) = 57(v + 16)

96v = 3360

v = 3360/96

v = 35.

The speed of the blimp in still air is of 35 mph.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

The answer is provided in the image.

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Multiply the price by 40%

700 x 0.40 = 280

40% off would be $280, which is greater than $150

40% off is the better price.

Answer:

40% off is the better price

Step-by-step explanation:

I hope this helps!