Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 1152)(2,1152).

Answers

Answer 1

Answer:

Step-by-step explanation:

let y=ab^x

x=0,y=18

18=ab^0=a

a=18

y=18b^x

when x=2,y=1152

[tex]1152=18b^{2}\\b^{2}=\frac{1152}{18}=64=8^2\\b=8\\so~y=18(8)^x[/tex]


Related Questions

help please
add, subtract, multiply. (-6v^2+7v-2)+(4v^2+3v+5)​

Answers

STEP

1

:

Equation at the end of step 1

 (((7•(v2))-6v)-5)+((2v2-3v)+4)

STEP  

2

:

Equation at the end of step

2

:

 ((7v2 -  6v) -  5) +  (2v2 - 3v + 4)

STEP

3

:

Trying to factor by splitting the middle term

3.1     Factoring  9v2-9v-1  

The first term is,  9v2  its coefficient is  9 .

The middle term is,  -9v  its coefficient is  -9 .

The last term, "the constant", is  -1  

Step-1 : Multiply the coefficient of the first term by the constant   9 • -1 = -9  

Step-2 : Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   -9 .

     -9    +    1    =    -8  

     -3    +    3    =    0  

     -1    +    9    =    8  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Sydney has 3 3/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5. How many bows can Sydney make?

Answers

Answer:

9

Step-by-step explanation:

2/5 x 2 = 4/5

4/5 x 2, or 2/5 x 4 = 1 3/5

1 3/5 x 2, or 2/5 x 8 = 3 1/5

3 1/5 + 2/5, or 2/5 x 9 = 3 3/5

A house has increased in value by 35% since it was purchased. If the current value is $297,000, what was the value when it was purchased? ​

Answers

Answer:

Answer:

$260,000

Step-by-step explanation:

Explanation:

Given the problem above, we solve for original value

Hence, in this case, we are given

percentage (35%) and the New Value ($351,000).

We can substitute this into the formula and solve for X

Let X be the original price, Hence, X = 100%

Therefore, $351000 = 135%

Divide both sides by 135

351000÷ 135 = 135÷135

2600 = 1%

Multiply both sides by 100

2600 * 100 = 1% * 100

$260000 = 100% = X

Hence, final answer is $260000

Explain the significance and uses for statistics in daily life​

Answers

Answer:

Statistics are the sets of mathematical equations that we used to analyze the things. It keeps us informed about, what is happening in the world around us. Statistics are important because today we live in the information world and much of this information's are determined mathematically by Statistics Help.

James has collected 3985 stamps so far. He had 787 stamps from countries other than the United States. What percent of the stamps are from countries other than the United States?

Answers

Answer:

divide 787 by 3985 then multiply that by 100

Step-by-step explanation:

if it were 100 stamps total and 50 from non US countries, you could pretty easily tell it was half, or 50%  to ge that you need to divide the number in question by the total so 50/100.  which gets .5.  to get the percent you multiply it by 100

so given the numbers we divide 787 by 3985 then multiply that by 100

What is 150% of 60?
Select one:

90

30

9

40

Answers

The answer is 9 of that
the answer is 90 because 100% of 60 is 60 then half that is 30 60+30 is 90

1
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210

Answers

Answer:

dddddweqwqq

Step-by-step explanation:

16/152 = 2/19 (simplified)
15/210 = 1/14 (simplified)

You were playing fetch with your dog an accidentally threw the toy and it
got stuck on the roof of your house. You leaned the ladder against your
house at a 30° angle of elevation. The foot of the ladder is 7 feet from the
foot of the house. How long is your ladder?

Answers

Answer:

8.1

Step-by-step explanation:

I got this answer of the internet good luck lol

The length of ladder would be,

⇒ 14/√3 feet

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

You leaned the ladder against your house at a 30° angle of elevation.

And, The foot of the ladder is 7 feet from the foot of the house.

Now,

Let the length of ladder = x

Hence, We can formulate;

⇒ cos 30° = 7 / x

⇒ √3 / 2 = 7 / x

⇒ x = 14 / √3 feet

Thus, The length of ladder would be,

⇒ 14/√3 feet

Learn more about the angle visit:;

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Amanda wants to carpet the floor of her bedroom, shown in the figure. She needs to calculate the area of the floor to determine how much carpet to buy.
What is the area, in square feet, of Amanda’s bedroom floor?
A.32.5 square feet
B.46 square feet
C.65 square feet
D.110.5 square feet

Answers

Answer:

A.) 32.5 Square Feet

Step-by-step explanation:

10ft + 6.5 = 16.5

16.5 + 13 = 19.5

19.5 + 13 = 32.5

10ft + 6.5 + 3 + 13 = 32.5

Answer: Te answer is A   32.5

Step-by-step explanation:

Name this angle please

Answers

Answer:

adjacent, complementary is your answer ☺️☺️☺️

Answer:

Adjacent

Step-by-step explanation:

These angles are adjacent because they share the same vertex

does anyone know???!

Answers

Answer:

#8 might be y= -3x + 5

Step-by-step explanation:

This may help

8. y=mx+b
y=-3x+5 or y=-3/1x+5
9. (0,7) is simply 7 on the y axis, so 7 as the y intercept.
y=-7x-7 or -7/1x-7

Answer please due in 15 minutes!!!!!!!!!

Answers

Answer:

option A

Step-by-step explanation:

here's your solution

=> 6x - 7y = 28

=> - 7y = 28 - 6x

=> - y = 28/7- 6x/7

=> -y = 4 - 6x/7

=> y = 6x/7 - 4

hope it helps

1.
What is the value of the expression 3 + 3/4 x (10 - 2)?

Answers

Answer:

I got 9 using order of operations

Step-by-step explanation:

sorry if this is wrong or not what you were looking for.

Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.
How tall is David

Answers

1.88m= 188 cm. 188cm+6cm=194cm

David is 1.94 meters tall.

Given that,

Shaun is 1.88 meters tall.

David is stated to be 6 centimeters taller than Shaun.

To determine David's height, we need to add the additional height to Shaun's height.

Since there are 100 centimeters in a meter, we can convert the 6 centimeters to meters by dividing it by 100: 6 cm / 100 = 0.06 meters.

Now, we can add this height to Shaun's height to find David's height:

1.88 meters + 0.06 meters = 1.94 meters.

Therefore, David is 1.94 meters tall.

Learn more about arithmetical operations click;

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HII IM ON A TIME RUSH ANSWER THIS CORRECT FOR 50+ BRAINLIEST POINTS AND BRAINLIEST PLEASE HELP

Answers

Answer: C

Step-by-step explanation: Solution at the intersection of lines (-3, -4)

Multiply both sides of the second equation by 2. What equation results?

Answers

Answer:

The equation would be helpful - but it would be the exact same equation just doubled. If you simplified it it would still equal the same

Step-by-step explanation:

Can you help A B C Or D image is here

Answers

Answer:

C. t=9+n

Step-by-step explanation:

Answer C is correct. t=9+n

Anna has 15 blue blocks, 18 red blocks, 15 green blocks, and 21 yellow blocks. She has 69 blocks altogether
What is the ratio of red to yellow
A) 6 to 7
B) 6 to 23
C) 5 to 7
D) 5 to 6

Answers

Answer:

A 6 to 7

Step-by-step explanation:

18 divided by 3 is 6

21 divided by 3 is 7

Answer:

A. 6 to 7

Step-by-step explanation:

18 : 21 then you simplify

6 : 7

solve for x with the segment of the circle ​

Answers

X should be 10 since x+2=12

Find angle x, giving your answer to 1 decimal place.
38°
х
11 cm
8 cm

Answers

Answer:

x = 55.8

Step-by-step explanation:

sinA/a + sinB/b

label any of them A (the angle) and opposite it will be a (the side)

[tex] \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} [/tex]

[tex]11 \times \frac{ \sin(38) }{8} [/tex]

(you can put ×11 the opposite area as well, it makes the same answer)

=0.84653452.....

[tex] \sin^{ - 1} (0.84653452)[/tex]

=57.83672257

Amanda has $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 and spend the rest on lly flowers. Each lily flower costs $11. Choose the inequality for the number of lly
flowers she can purchase:
o
A
11x + 18 5 40
B. 18x + 11 S 40
G
C. 11x + 18 < 40
D. 18x + 18 < 40

Answers

Answer:

[tex]11x + 18 \leq 40[/tex]

Step-by-step explanation:

She can buy x illy flowers, and each illy flower costs $11.

She wants to buy a pair of red rose flowers for $18 and spend the rest on lly flowers. Each lily flower costs $11.

This means that the total amount she will spend is:

[tex]18 + 11x[/tex]

Amanda has $40 to spend on flowers.

This means that her total spending can be at most $40, which means that:

[tex]11x + 18 \leq 40[/tex]

This is the inequality that models this situation.

5,3,7,9, 5, 19,4
In the data above, five is the
mean
mode
median and mode
median
Help me please.

Answers

3) median and mode!
Explanation:
Median- 3,4,5,(5),7,9,19
Mode- 5 is repeated.

Least the containers from least to greatest capacity; 1.73, 2.061, 1.59, 2.1

Answers

Answer:

1.59 < 1.73 < 2.061 < 2.1

Step-by-step explanation:

Hello,

We know that 2 is higher than 1. So to pick the first ones we know it won't be the two numbers starting with a 2. We are left with two numbers : 1.73 and 1.59. In this case we can multiply these two numbers by 100. We are allowed to do this only if we do it to all the numbers we are trying to figure out. In this case, it is 1.73 and 1.59 (we are excluding the 2s). So we end up with : 173 and 159. This might help you. We obviously know that 173 is a larger number than 159.

So, we then proceed to the numbers starting with a 2. In this case we can multiply both by 1,000 considering the fact that the number 2.061 has 3 digits after the dot. This will make it easier for us. When we multiply both by 1,000 we end up with 2,061 and 2,100. We obviously know that 2,061 is smaller than 2,100.

I hope this helped

Kind regards,

Clém

What is the rate of change: y=x+5

Answers

Answer:

x or 1x.

Step-by-step explanation:

The rate of change is slope.

Slope=m

y=mx+b

y=x+5

x is the same thing as 1x. So...

What is the length of a diagonal of a square with a side length of 8?
A. 4
B. 42
C. 43
D. 82

Answers

Answer:

D. 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the diagonal of the square, you can use the Pythagorean theorem* to find the hypotenuse since the diagonal cuts the square into two right triangles with legs of 8 units in length:

If in a^2 + b^2 = c^2, a = 8 and b = 8,

8^2 + 8^2 = c^2 (put 8 as both the leg lengths in the equation)

128 = c^2 (calculate 8^2 and then add the two terms together)

c = 8[tex]\sqrt{2}[/tex] (square both sides)

So, the length of the diagonal is 8[tex]\sqrt{2}[/tex] units

*the Pythagorean theorem is a theorem used to find the sides lengths of a right triangle: a^2 + b^2 = c^2. a and b are the legs of the triangle, and c is the hypotenuse.

Proportional Relationships & Percentages: Question 6 Coach Doss orders 80 new uniforms for the upcoming season. He gets a 14% discount on each uniform. The original price of each uniform is $60. What is the total amount Coach Doss pays for all of the new uniforms?​

Answers

Answer:

$4,128

Step-by-step explanation:

$60 / 0.14 = $8.4

$60 - $8.4 = $51.6

$51.6 x 80 = 4,128

Which expression is equivalent to 3/4 ( 8x + 12 ) + 2/3 ( 6 x 12)​

Answers

Answer:

10x+17

Step-by-step explanation:

3/4(8x)=6x

3/4(12)=9

2/3(6x)=4x

2/3(12)=8

collect like terms

6x +4x=10x

9+8=17

The answer is 10x+17

Please help due soon.

Answers

Answer:

There will be a decrease in everything

Step-by-step explanation:

The phytoplankton uses the sun and if it's hard for them to survive the krill will have no food, and what eats the krill won't have food either.

Help pleaseee it’s the middle one :) I will give brainliest

Answers

420 :) have a good day


Awnser:

Find the values of x and y in parallelogram PQRS. PT=​y, TR=4x+​1, QT=2​y, TS=3x+12 In parallelogram PQRS, diagonals PR and QS cross at point T. Q P S R T x=nothing and y=nothing

Answers

Here is my answer. I hope this is helpful.

The required values of x and y are x = -2 and y = 7 in parallelogram PQRS.

How to find the values of x and y?

To find the values of x and y, we can use the fact that the diagonals of a parallelogram bisect each other. This means that the line segment PT is equal to half of the diagonal PR, and the line segment QT is equal to half of the diagonal QS.

We can set up two equations to represent this information:

PT = 1/2 × PR

QT = 1/2 × QS

Since we are given the lengths of PT and QT, we can substitute those values into the equations:

y = 1/2 × PR

2y = 1/2 × QS

We can then use the fact that the opposite sides of a parallelogram have equal lengths to find the values of PR and QS:

PR = PT + TR = y + (4x + 1)

QS = QT + TS = 2y + (3x + 12)

Substituting these values into the equations above, we get:

y = 1/2 × (y + (4x + 1))

2y = 1/2 × (2y + (3x + 12))

Solving these equations simultaneously will give us the values of x and y.

First, we can solve the second equation for y:

y = (1/2) × (2y + (3x + 12))

y = y + (3x + 12)/2

0 = 3x + 12/2

0 = 3x + 6

-6 = 3x

x = -2

Substituting this value of x into the first equation, we can solve for y:

y = 1/2 * (y + (-2 * 4 + 1))

y = 1/2 * (y - 7)

2y = y - 7

y = 7

Therefore, the values of x and y are x = -2 and y = 7.

Learn more about parallelograms here:

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