Write an exponential function in the form y = ab^x that goes through points
(0,12) and (2,300).

Answers

Answer 1

Answer:

y(x)=12*(5)^x

Step-by-step explanation:

y=ab^x, y(0)=12. 12=a.

y=12*b^x, y(2)=300. 12*b^2=300. b^2=25. b=5


Related Questions

7(8+a)=189 please help and give me step by step ​

Answers

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

Well, we can use the distributive property:
56 + 7a = 189
7a = 133
a = 19

If a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never

Answers

B) Always!

This is because ‘bisect’ means to spilt exactly in half. If you split 90 degrees in half, you get 45 degrees.

Hope this helps!

Answer:

Always

Step-by-step explanation:

Bisects means to divide in half

90/2 = 45

So the angles are each 45 degrees

binomial expansions for clever cookies

Answers

The answers are in the red rectangles with the work.

Let me know if something is unreadable.

Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.​

Answers

Slope = -6
Y-intercept = (0,11)
X Y
0 11
1 5


What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2

Answers

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((

Answers

1: 3.12-3=0.12
2: 3.22-3=0.22
3: 3-2.99=0.01
4: 3.111-3=0.111

0.01<0.111<0.12<0.22
∴ Rain gauge 3 was the most accurate

Hope my answer helped u :)

Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

The perimeter is the sum of the outside

P = 8+4+5+10+( 4+10) +(8+5)

P = 54

Both please please………

Answers

Answer:

Step-by-step explanation:

First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)

Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major

Lena is asked to write an explicit formula for the graphed geometric sequence.

On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

What value, written as a decimal, should Lena use as the common ratio

Answers

Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer: 2.5 or "C"

Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D

PLEASEEEE HELLLLP MEEEE

Answers

Answer:

c. 20/21

Step-by-step explanation:

You just multiply straight

3×7 = 21

4×5 =20

21/20 <---- and it can't be reduced farther than this.

Answer:

C. ²¹⁄₂₀

Step-by-step explanation:

OKOKOK DON'T WORRY I'M HERE :)))

--

When multiplying fractions, you multiply the numerators together and then multiply the denominators together.

The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).

The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).

Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.

Hope this helped!!

Function f is graphed. According to the graph, is f even, odd, or neither?

Answers

Answer:

C

Step-by-step explanation:

f is neither even nor odd

Help plz and thanks

Answers

I’d say -5 degrees Celsius

PLZ HELP!!!
Find the range of the following piecewise function.

Answers

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

Geometry, please answer question ASAP

Answers

Answer:

It's 5 which is A.

Step-by-step explanation:

Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)

Answers

Answer:

The length of each hot dog is 0.5000 inches.

Step-by-step explanation:

Total number of hot dogs eaten = 7 000 000 000

Circumference of the earth = 24 860 miles

21.5 times the circumference of the Earth = 21.5 x 24 860 miles

                                                = 534490 miles

But,

1 mile = 5280 feet

So that,

534490 miles = X

X = 5280 x 534490

   = 287707200 feet

Also,

1 feet = 12 inches

Then,

287707200 feet = Y

Y = 12 x 287707200

   = 3452486400 inches

Thus,

the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]

                     = 0.4932

The length of each hot dog is 0.5000 inches.

if g(x) is x-3 then what is g(3x)

Answers

Answer:  3x-3

Work Shown:

g(x) = x-3

g(3x) = 3x-3

We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.

Answer:

Step-by-step explanation:

The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.

g(3x) = 3x - 3 is the correct answer.

Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use

Answers

Answer:

Both T+4 and T-4 are the same distance away from 4

T would be the launch time of the rocket...

T - 4 is 4 units of time (seconds)  prior to launch...

T+ 4 is 4 units of time (seconds) after the launch

Step-by-step explanation:

∣x−18∣=5 absolute value

Answers

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n=12, evaluate your expression using the distributive property.​

Answers

Answer:

A.  10(15) + 10n = $ made for babysitting

B. $270

Step-by-step explanation:

B. 10(15) + 10(12)

150 + 120 = $270

Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?

Answers

How long, to the nearest day, until it is safe to swim again will be 156 days

Let x represent number of day until it is safe to swim again

First step

=2000 *1/2^x

100=2000 *0.5^x

0.05=0.5^x

Second step

Log 0.05=xLog 0.5

Log 0.05/L0g 0.5=x

x=36 days* Log 0.05/L0g 0.5

x=36 days*43.22

x=156 days

Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days

Learn more about  radioactive element here:

https://brainly.com/question/13812761

rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour

Answers

The distance between Rachel and Amos after one hour is 15 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles

Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles

Let x represent the distance between Rachel and Amos, hence:

x² = 9² + 12²

x = 15

The distance between Rachel and Amos after one hour is 15 miles.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Using the Pythagorean Theorem, they will be 15 miles apart after one hour.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:

[tex]d^2 = 9^2 + 12^2[/tex]

[tex]d = \sqrt{9^2 + 12^2}[/tex]

d = 15 miles

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

#SPJ1

Pls help. I really suck at math.

Determine whether the following polygons are similar.

Answers

Answer:

They are not similar.

To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.

Those triangles possess right angles as you can see the little square thingie in the corners.

Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.

There are 180 degrees in a triangle, so 180 - 120 = 60.

Therefore, the unknown angle is 60.

A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.

The other triangle has a 55 degree angle which is not on the first, so they must not be similar.

Pls brainly dont delete this link, its useful.

https://blog.prepscholar.com/30-60-90-triangle-ratio-formula

This helps you understand the special triangles.

You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.

Step-by-step explanation:

7x-3/4=x what is the process to answer fasttttttt please

Answers

Answer:

x= 1/8 is the correct answer

Answer:

1/8

Step-by-step explanation:

7x-x=3/4

6x=3/4

6x/6=3/4÷6

x=1/8

Someone plz help me on this

Answers

Answer:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

x=9.4

[tex]x = \sqrt{88} [/tex]

HELP, round to the nearest penny.
$11,579.9998

Answers

Answer:

11,580.00

Step-by-step explanation:

So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00

Hope this helps!!! Have a good rest of your day! :)

find a number which is when added to it's square the sum will be 72.​

Answers

Answer 8

8+8²=72

8+64=72

72=72

please click thanks and mark brainliest if you like :)

Plzz help me with this question my class test is going on​

Answers

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

Answer:

6x - 4y - 3

Step-by-step explanation:

They are basically telling you to sum both equations. So,

(2x + 3y + 5) + (4x - 7y - 8)

= 2x + 4x + 3y - 7y + 5 - 8

= 6x - 4y - 3

What is 7 3/8 rounded to the nearest whole number?

Answers

Answer:

7

Step-by-step explanation:

4/8 = 1/2

3/8 is less than 1/2 so round down

7 3/8 rounds to 7

Answer:

7

Step-by-step explanation:

7 3/8 = 7.375

The closest whole number is 7

Answer from Gauthmath

a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?

Answers

Answer:

75% of the specials served were salmon fillets

Step-by-step explanation:

We have that:

15 + 5 = 20 specials were served.

Of those, 5 were salmon fillets.

What percentage of the specials served were salmon fillets?

15*100%/20 = 75%

75% of the specials served were salmon fillets

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