Write an exponential function in the form y=ab^xy=ab^x that goes through points (0, 20) and (3, 1280).

Answers

Answer 1

Answer:

y = 20 [tex]4^{x}[/tex]

Step-by-step explanation:

Use the points to find the values of a and b

Using (0, 20 ) , then

20 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

20 = a

y = 20[tex]b^{x}[/tex]

Using (3, 1280 ) , then

1280 = 20 b³ ( divide both sides by 20 )

64 = b³ ( take the cube root of both sides )

[tex]\sqrt[3]{64}[/tex] = b , that is

4 = b

Then exponential function is

y = 20. [tex]4^{x}[/tex]


Related Questions

What is the answer here?

Answers

Answer:

x=4 y=3

Step-by-step explanation:

y=x-1

2x-3y=-1

put x-1 in for y and solve

2x-3(x-1)=-1

2x-3x+3=-1

-x+3=-1

-x=-4

x=4

put 4 in for y and solve

y=4-1

y=3

3…………………………………………………………k

Find m w in rhombus TUVW.

Answers

5a + 43 + 12a + 52 = 180
17a + 95 = 180
-95. -95
17a = 85
/17. /17
A=5

Alex's coach kept track of her time as she ran 12 miles. The results are shown in the table below. The rate of change is constant? Is this True or False?

Answers

True have a wonderful day if there is anything else I can help you with just ask
true





explanation
add 14 to each one

for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?​

Answers

Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

please help! i'll give brainliest and 5 stars

Answers

Answer:

Step-by-step explanation:

x/2 = 20

*2      *2     (2 cancels)

 x = 40

Answer:

x=40

Step-by-step explanation:

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

Answers

Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

Answer:Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

Step-by-step explanation:

5/12 x 6/7
Pick one
5/8
5/14
0 0 0
35/72
30/60

Answers

Answer:

5/14

Step-by-step explanation:

5/12 x 6/7 = 5/14

supongamos que el total de los estudiantes en tu escuela es de 256 se te ha pedido elegir al azar una muestra de 15 estudiantes alos cuáles se le aplicará una examen para evaluar las condiciones físicas en las que se encuentra​

Answers

Pregunta completa:

Ejercicio. Supongamos que el total de estudiantes en tu escuela es 256. Se te ha pedido elegir

al azar una muestra de 15 estudiantes a los cuales se les aplicará un examen para evaluar las

condiciones físicas en las que se encuentran. Describe en tu libreta al menos dos maneras

diferentes de como podrías realizar la selección de manera que los 15 estudiantes representen

una buena muestra del total de estudiantes

Responder:

Por favor, consulte la explicación

Explicación paso a paso:

Para garantizar que la selección realizada sea representativa, la selección debe ser aleatoria.

1.) Se puede elegir una muestra totalmente aleatorizada de 15 integrantes de niños y niñas en igual proporción. Es decir, si toda la población tiene un 60% de niñas y un 40% de niños, entonces una muestra puede incluir;

0.4 * 15 = 6 niños

0,6 * 15 = 9 niñas

Además, la muestra se puede seleccionar asignando al azar 15 números a un trozo de papel enrollado donde se les puede pedir a todos los estudiantes que elijan. los estudiantes que eligen los trabajos numerados se utilizan como muestra.

I will give you 7 points please answer ASAP!!!!!!!

Answers

Answer:

304

Step-by-step explanation:

12 times 12 is 144 and 8 times 10 is 80 divided by 2 and then multiplied by 4.

I need to solve for x

Answers

Answer:

x=7

Step-by-step explanation:

[tex]\frac{x}{15}[/tex]=[tex]\frac{8}{17}[/tex]

17x=120

x=7.05882352941

x=7

Hope this helps! :)


What is the slope of the equation?

Answers

Answer:

5/4

Step-by-step explanation:

The slope is 5/4.

Please help!
Please answer the question on the screen!

Answers

Answer:

(x+1)²-5(x-7)= area

Area= (x+1)²-5x-35

Area= x²+2x-5x+36

Area= x²-3x+36

Step-by-step explanation:

Answer:

-12 is the answer but I don't know that is right or not ▪︎▪︎

Which equation represents a line that passes through the two points in the
table?

Answers

Answer:

A. y-1=5/3(x-3)

Step-by-step explanation:

please look at the graph in my pic to see my answer is correct

hope it helps :)

The two arc lengths shown on the circles are equal, but the circles are different sizes. 2 circles. One circle has a radius of 8 inches and a shaded sector with an angle measure of 90 degrees. The second circle has a shaded sector with an angle measure of 120 degrees. One circle has a radius of 8 in. What is the radius of the other circle? Arc length circle 1 = Arc length circle 2 StartFraction 90 degrees over 360 degrees EndFraction (2 pi (8)) = StartFraction 120 degrees over 360 degrees EndFraction (2 pi (4)) One-fourth (16 pi) = one-third (2 pi r) 4 = two-thirds r r =

Answers

Answer:

6

Step-by-step explanation:

I just did the question

Which statements are correct? Select two that apply.

A. The number 0.005 is to times the size of the number 0.05.

B. The number 0.09 is 1/10 of the size in the number 0.003

C. The number 0.09 is 10 times the size of the number 0.009

D. The number 0.007 is 1/10 the size of the number 0.07

E. The number 0.002 is 10 times the size of the number 0.2.


Answers

C.......................

Answer: C

Step-by-step explanation:

I did this

Please help me pretty please I been stuck on this for a while now

Answers

D because both sides have a length of 5

Please help me with this please!!!!​

Answers

Answer:

                 

Step-by-step explanation:

what is
5x + 20 = 5x + ??

Answers

Answer:

??=20

Step-by-step explanation:

hope this helps

I think it is 20 pppppp

3 ft by 10 ft area of a rectangle

Answers

Answer:

30

Step-by-step explanation:

3x10=30

what times three give you 100​

Answers

Answer:

33.3

Step-by-step explanation:

Hey so I'm tryna' do this thing wit my friend we have to get the most brainliest in 1 week so I was wondering if you could help me on that by giving me brainliest, u don't have to tho! it was a pleasure helping you.

Answer:

3times x =100

Step-by-step explanation:

well make the x the key of the answer

A band is traveling to a new city to perform a concert. The revenue from their ticket sales is a function of the ticket price, x , and can be modeled with (x - 6)(250 - 5x). What are the two ticket prices at which the band would make no money at all?

Answers

Answer:

[tex]x=6,50[/tex]

Step-by-step explanation:

The revenue from their ticket sales is a function of the ticket price, x , and can be modeled with [tex](x-6)(250-5x)[/tex]

To find the two ticket prices at which the band would make no money at all, solve the following equation:

[tex](x-6)(250-5x)=0\\x-6=0\,,\,250-5x=0\\x=6\,,\,5x=250\\\\x=6\,,\,x=\frac{250}{5}\\\\x=6,50[/tex]

The two ticket prices at which the band would make no money at all is 6, 50.

Calculation of the two ticket prices:

Since the revenue from their ticket sales is a function of the ticket price, x , and can be modeled with (x - 6)(250 - 5x).

So here it can be like

(x - 6) (250 - 5x) = 0

x - 6 = 0, 250 - 5x = 0

x = 6, 5x = 250

x = 5, x = 50

hence, The two ticket prices at which the band would make no money at all is 6, 50.

Learn more about price here: https://brainly.com/question/24320257

The double line shows how many bananas are needed to make 1 loaf of banana bread.


# of loaves. #of banana

Space. 2 1/2

Space 5

4. Soace

Answers

Answer:

[tex]\begin{array}{cc}{Loaves} & {Banana} & {1} & {2\frac{1}{2}} & {2} & {5} & {4} & {10} \ \end{array}[/tex]

Step-by-step explanation:

Given

See attachment for number line

Required

Complete the table

From the number line;

[tex]0\ loaf = 0\ banana[/tex]

[tex]1\ loaf = 2\frac{1}{2}\ banana[/tex]

Multiply by 2 to get the equivalent of 5 bananas

[tex]2 * 1\ loaf = 2\frac{1}{2}\ banana * 2[/tex]

[tex]2 \ loaf = 5\ banana[/tex]

Multiply by 4 to get the equivalent of 4 loaves

[tex]1\ loaf = 2\frac{1}{2}\ banana[/tex]

[tex]4 * 1\ loaf = 2\frac{1}{2}\ banana * 4[/tex]

[tex]4 \ loaf = 10\ banana[/tex]

So, the complete table is:

[tex]\begin{array}{cc}{Loaves} & {Banana} & {1} & {2\frac{1}{2}} & {2} & {5} & {4} & {10} \ \end{array}[/tex]

Standard Notations 3.042 x 10²

Answers

74100

170000

36000

I believe this is right!

Number 7, please help me

Answers

Answer:

oh dang.. imma head out, no big brain time for me..

Step-by-step explanation:

Write an equation for a line with a slope of 5 and y-inter of -3

Answers

Answer:

y=5x-3

Step-by-step explanation:

y=mx+b where m=slope and b= y-intercept

A pot holds 324 milliliters of water. How many liters will 19 pots hold?

6.156 liters
6,156 liters
61.56 liters
615.6 liters
Question 14(Multiple Choice Worth 2 points)
(11.05 LC)

Select the statement that shows equivalent measurements.

6,400 milliliters = 0.64 liters
6,400 milliliters = 64 liters
64,000 milliliters = 6.4 liters
64,000 milliliters = 64 liters
Question 15(Multiple Choice Worth 2 points)
(11.02 MC)

Alex made fruit punch for a party. He mixed 3 gallons of orange juice, 3 quarts of pineapple juice, 5 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

19
18
15
12
Question 16(Multiple Choice Worth 2 points)
(11.04 MC)

How many millimeters are there in 4.72 meters?

4,720 millimeters
472 millimeters
472,000 millimeters
47,200 millimeters
Question 17(Multiple Choice Worth 2 points)
(11.04 LC)

How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.

458.1 meters
45.81 meters
4.581 meters
45,810 meters
Question 18(Multiple Choice Worth 2 points)
(11.01 MC)

Bobby has a piece of rope measuring 4 yards. How many 1-inch strips can be cut from the rope?

180 strips
144 strips
108 strips
72 strips
Question 19(Multiple Choice Worth 2 points)
(11.06 LC)

How many grams are equal to 4,965 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.

49,650 grams
496.4 grams
49.65 grams
4.965 grams
Question 20(Multiple Choice Worth 2 points)
(11.06 LC)

A rabbit weighs 2.8 kilograms. How many grams does the rabbit weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.

2,800 grams
28 grams
28,000 grams
280 grams
Question 21(Multiple Choice Worth 2 points)
(11.03 LC)

How many tons are equal to 54,000 pounds?

27 tons
217 tons
270 tons
2,700 tons
Question 22(Multiple Choice Worth 2 points)
(11.04 LC)

A ribbon is 29 centimeters long. How many millimeters is the length of the ribbon?

2.9 millimeters
2,900 millimeters
290 millimeters
58 millimeters
Question 23(Multiple Choice Worth 2 points)
(11.07 LC)

A water jug holds 8 quarts of water. The jug is shared evenly between 4 people. How many cups of water does each person get?

7 cups
8 cups
9 cups
10 cups
sorry its a lot im just clue less :,)

Answers

For the pot one 6,156 litters

What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:you spel't it wrong so if im right then its b and c

8+8

16+16

32+32

64+64

The sum of two numbers is 25 one number is twice the second number plus seven What are the two numbers

Answers

Answer:

The two numbers are 6 and 19

Step-by-step explanation:

Assume that the two numbers are x and y

We are given that:

The sum of the two numbers is 25

This means that:

x + y = 25 ..........................> equation 1

We are also given that:

One number is twice the other plus 7

This means that:

x = 2y + 7 ..........................> equation 2

Substitute with equation 2 in equation 1 and solve for y:

2y + 7 + y = 25

3y + 7 = 25

3y = 18

y = 6

Now, substitute with the value of y in equation 2 to get x as follows:

x = 2y + 7

x = 2(6) + 7

x = 12 + 7

x = 19

Based on the above, we can conclude that the two numbers are:

6 and 19

Hope this helps :)

x+y=25 => x=-y+25

x= 2y+7

x=-y+25

x=2y+7

subtract the first equation from the 2nd

0=3y-18

y=6

x=19

please mark me as brainlist

Which student correctly used guess and check to solve for the unknown number?

The difference between a number and five is fifteen.

Answers

Answer:

Aida's work is correct

Step-by-step explanation:

5 x 3 = 15 so the difference is 3!

Answer:

Aida's work is correct

Step-by-step explanation: the guy above me is right :)

write the decimal that represent the shaded portion on the model.

Answers

Answer:

.45

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

Since 45 out of the 100 squares are shaded, it means the fraction would be 45/100 and 45/100 is equal to 0.45.

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