The height of a weather balloon as it is launched can be represented by an exponential model in the form y = a* b^x where y is the height in km after x minutes. After 2 minutes, the recorded height is 3 km, and after 3 minutes, it is 9 km. Which of the following represents another point on the graph of this exponential model?

Group of answer choices

(1,-3)

(1, 1)

(4, 15)

(4, 16)

Answers

Answer 1

Answer:

Step-by-step explanation:

4,15

Answer 2

The point (4, 3) is on the graph of this exponential model.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the given information to form two equations with two unknowns (a and b) and solve for them.

From the first data point (2, 3 km):

y = a b^x

3 = a b^2

From the second data point (3, 9 km):

y = a b^x

9 = a b^3

Dividing the second equation by the first equation:

9/3 = (a b³) / (a b²)

3 = b

Substituting b = 3 into the first equation:

3 = a x 3²

a = 1/9

So the exponential model is y = (1/9) x 3^x.

To find another point on the graph of this exponential model, we can choose a value for x and calculate y.

Let's try x = 4:

y = (1/9) x 3^4

y = 1 x 3/3 x 3/3 x 3/3 x 3/9

y = 3

Therefore,

The point (4, 3) is on the graph of this exponential model.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2


Related Questions

find the area












__________

Answers

Answer:

21+10.5

=31.5 ²

....

...

....

Hunter surveyed 200 of the students in his school about their favorite color. 66 students said their favorite color was blue. What percentage of the surveyed students said their favorite color was blue?

Answers

33% because 66/200 is .33, and convert that to percentage by multiplying by 100

The percentage of the surveyed students who said their favorite color was blue is 33%

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Hunter surveyed a total of 200 students.

Also students with blue as their favorite color are 66

We know percentage is ratio of the quantity involved over the whole multiplied by 100

Thus the number of students with blue as their favorite color in percentage terms is = 66/200 × 100

                                  = 33%

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ6

(18 POINTS) PLEASE HELP me! thanks!

Answers

Answer:

2 \frac{1}{4}

for each sequence find the first 4 terms and the 10th term

Answers

Answer:For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:

a) 1 (1st term) + 5 = 6

2 (2nd term) + 5 = 7

3 (3rd term) + 5 = 8

4 (4th term) + 5 = 9

10 (10th term) + 5 = 15

And so on for b (not going to keep writing the term, I’m sure you get that by now.

b) 2(1) - 1 = (2x1) - 1 = 1

2(2) - 1 = (2x2) - 1 = 3

2(3) - 1 = (2x3) - 1 = 5

2(4) - 1 = (2x4) - 1 = 7

2(10) - 1 = (2x10) - 1 = 19

Hope this helps :)

Please please help me please

Answers

Answer:

a and c

Step-by-step explanation:

I think a and c would work for this problem

What are the advantages and disadvantages of bar chart​

Answers

Answer:

Advantages:

● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.

● They're simple to make and most people have experience creating and understanding them from school.

● They can help in presenting very large or very small values more emphatically.

Disadvantages:

● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.

● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.

I hope it's helpful!

Answer:

Advantages:

Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.They're simple to make and most people have experience creating and understanding them from school.They can help in presenting very large or very small values more emphatically.

Disadvantages:

Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value. Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional

PLEASE HELP ME!

What is radiant energy? Give an example.

Answers

Answer:

Radiant energy is the energy of electromagnetic waves.

Step-by-step explanation:

I

Radiant energy is energy that is transferred by electromagnetic radiation.

Example:

The heat emitted from a campfire.

The values of x and y are directly and one pair of values are given.
write an equation that relates x and y. simplify completely.
x= -4, y =6

Answers

Answer:

The relation is [tex]y = -1.5x[/tex]

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

[tex]y = ax[/tex]

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

[tex]y = ax[/tex]

[tex]6 = -4a[/tex]

[tex]a = -frac{6}{4}[/tex]

[tex]a = -1.5[/tex]

So

The relation is [tex]y = -1.5x[/tex]

Fill in the missing number to complete the equivalent fraction show what you multiply or divided by convert each improper fraction to a mixed number or whole number

Answers

Answer:

3a) 5/45 you divide by 5

3b) 6/7 you divide by 2

3c) 2/7 you divide by 9

3d) 2/5 you divide by 9

4a) 6

4b) 1 1/4 or 5/4 (both are correct)

4c) 3 1/2 or 3 3/6 (both are correct)

4d) 5 1/8

The fraction bar tells you to divide the top number by the bottom number.

Step-by-step explanation:

For 3a through 3d, you just use the fraction that has a missing number, and if the missing number is at the bottom, use the top number and devide it by the other top number that the fraection is equal to.

For 4a through 4b, devide the top the bottom number

Fill in the blank
4+ (-15)=

Answers

Answer:

-11

Step-by-step explanation:

4+(-15)=

-11

2+2 its really really hard its the hardest problem i have ever done

Answers

Answer:the anser is 66

Step-by-step explanation:2=33

33+33=66

Which is a better measure of spread: range or interquartile range? Why?

Answers

The interquartile range is a better measure of spread because, The interquartile range is often seen as a better measure of spread than the range as it is not affected by outliers.

hope it helps.

have a good day.

Answer:

She's correct

Step-by-step explanation:

EDG 2021

According to Wikipedia, the average weight of an adult male in the U.S. is 197.7 pounds with a standard deviation of 18 pounds, while the average adult female weighs 168.7 pounds with a standard deviation of 15 pounds. Both weights vary according to a Normal distribution.

7.) If you randomly selected one adult woman, what is the probability that her weight exceeds (is higher than) 130 pounds?



Suppose you randomly selected one adult male and one adult female from the entire U.S. population. Let the variable D = the difference in their weights (male – female).





8.) Calculate and interpret the mean of D.



9.) Interpret your answer from #8 in context.



10.) Calculate the standard deviation of D.



11.) Calculate the probability that the randomly selected male would weigh less than the randomly selected female.

Answers

Do mine I’ll do 3 of yours

PLEASE PLEASE ANSWER ITS SO EASY

Four friends order a 12" pizza to share. If
they share the pizza equally, how many
square inches would each person get?
*round to the nearest inch*

a. 113 sq. inches
b. 9 sq. in.
c. 113 sq. in.
d. 28 sq. in.

Answers

Answer:

b

Step-by-step explanation:

what is the rule when multiplying or dividing by a negative number to solve inequalities?

Answers

You flip the inequality.
Example: if x > -y and you divide both sides by (-1) then you flip the inequality so: -x < y
When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

A student had $16.08 in his lunch account on Monday. By the end of the day on Thursday, he had spent $11.25. How much money was left in his lunch account to use for Friday? *​( wrong answers only)

Answers

420.69

Step-by-step explanation:

He lunch was fire

Chcies needs a cabeat is 11 inches long the cable costs $1.20 per centimeter how such would be pas for the table Shehu
set up the calcuno sales problem

Answers

Answer:

1.20 times 11. I hope it helped!

ive been 348234 rer f3298i423 83484 8394qr 93r3 hfe shawtys like a melosyyy

Answers

jjbiiinnmkko ok then

What is the length of BC please help I’ll give you BRAINLIEST

Answers

Answer:

3.8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+5^2=6^2

a^2+25=36

a^2=36-25

a^2=11

a=3.3

but on the answers provided write 3.8 because its close

please help me
is for my daughter ​

Answers

Step-by-step explanation:

To find 5/6 of the area, multiply the area that was found in part A , as the question states by 5/6.

⅚ × Area found in part A.

If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?

Answers

Answer:

25% or 30L

Step-by-step explanation:

100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid

Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.

Answers

The Answer Should Be -6 And -2
-6 + -2 = -8
-6 x -2 = 12

lma.oooo im just answering so u can give the first guy brainliest ^^

Please help for brainliest.

Answers

Answer:

not sure but I think it's B... I'm so sorry if it's wrong!

Step-by-step explanation:

Nice to meet you❤️

Solve each inequality and give your answers in interval notation:
|9x – 11 < 4
16x – 31 > 2
Submit Question

Answers

Answer: for |9x – 11 < 4

7/9<x<5/3

Step-by-step explanation:

interval notation:

(7/9 , 5/3)

A survey of students at a university shows that 4 out of 5 drink coffee. Of the students who drink​ coffee, 1 out of 6 adds cream to it. If the university has 18,000 ​students, find the number of students who drink coffee with cream.

How many students drink coffee with​ cream?

Answers

The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
_____
Alternate solutions
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200

40 POINTS PLS HELP I WILL ALSO GIVE BRAINLY (ANSWER THE BOXES ON BOTTOM RIGHT)

Answers

Answer: See explanation

Step-by-step explanation:

ΔLNM and ΔLKN are 30°- 60°- 90° triangles

We have to find the length of LN before we can find the length of MN.

In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3

Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.

LN = √3 times the shorter leg

3 × √3 = 3√3

LN = 3√3

We now know the length of the longer leg in ΔLNM (3√3)

MN would be 3√3 × √3

3√3 × √3

= 3√9

= 3 × 3 = 9

MN = 9

ΔLKM is also a 30° - 60° - 90° triangle

The short leg is 6 m

The hypotenuse would be 12 m

The longer leg would be 6√3

Perimeter: 6 + 12 + 6√3

The perimeter is 18 + 6√3

Area: 1/2 × b × h

b = 6√3

h = LN = 3√3

6√3 × 3√3

18√9 = 18 × 3 = 54

Area: 54 m²

Hope it helps!!

PLZ HELP :(
The area of the green square is 9 ft. The area of the red square is 16 ft?
What is the length of side c?
A)5 ft
B)25 ft
C)81 ft
D)128 ft

Answers

Answer:

A) c = 5 ft

Step-by-step explanation:

a = 3

b = 4

3^2+4^2 = c^2

c^2 = 9+26 = 25

c = 5

Answer:

B

Step-by-step explanation:

Unfortunately, I dont really have a explanation for this besides yellow square is larger than both red and green, so using judging by the answers, it has to be B.

PLEASEE HELP MEH I WILL GIVE U BRAINLIST!!!!!!

Answers

Answer:

I will first divide the shape into two rectangles. first rectangle area would be 60x15=900mm^2. next rectangle is 20x30=600mm^2. 900+600=1500mm^2. the area is 1500mm^2, which is answer D

Step-by-step explanation:

Mark me brainliest and I give you luck boost on the test :)

Find x. Round to the nearest tenth.
4
6
5

Answers

Answer:

7.5

Step-by-step explanation:

The ratio between the two numbers in each set are the same, so the process used to get from 4 to 6 could also be used to find x. 6/4=1.5, so 4*1.5=6. Multiplying 5 by 1.5 would get x. 5*1.5=7.5, so x=7.5.

Use check words to complete the H diagram

Answers

Answer:

What diagram

Step-by-step explanation:

Other Questions
Henry G.J. Moseley developed the current arrangement of elements in the periodic table by atomic number.True or False help with math plsssssssss How many solutions does the equation 2(x+1) = 2x+1 have? What is 0.66% of 9,500 is Find the area of the trapezoid Which has more mass, one mole of carbon (C) or one mole of copper (Cu)?Explain. Choose the sentence that uses a semicolon correctly.We knew a storm was likely, the air was hot, humid; and absolutely still.We knew a storm was likely; the air was hot, humid, and absolutely still.We knew; a storm was likely the air was hot, humid, and absolutely still.We knew a storm was likely the air was; hot, humid, and absolutely still. What is the polynomial in standard form? If 0.150 moles of calcium oxide reacts with carbon dioxide gas, how many grams of calcium carbonate can be produced? Lauren Fine Clothing manufactures clothes for professional women. Lauren applies overhead at the rate of $15 per direct labor hour. During April, the company has budgeted 9,420 direct labor hours. At the end of April, 9,200 direct labor hours and $132,670 in manufacturing overhead had been incurred. To adjust for the difference between applied and incurred overhead, which journal entry would the firm record (using the pro-rated approach) given the following ending balances: please help!! I don't know anything about the unit I'm on and this along with other questions soon would help me so much ONLY ANSWER IF YOU ARE GOING TO HELP BEEN ASKING FOR 2 HOURS NOW Need help on a assignmentDUE ON SUDAYPLEASE HELPI CANT POST ON HERE BECAUSE IT ON A DOCTHE ASSIGNMENT IS ABOUT BUSINESS FINANCIALWILL MAKE A GROUP Preguntas captulo # 3:1.Por qu disfrutaba Ana Rosa pasar tanto tiempo sentada en las ramas de su rbol gri gri?2.Desde su rbol gri gri Ana Rosa alcanzaba a ver algo que ella describe como un monstruo marino. Qu eventos se dieron para que la gente del pueblo se enterara de la noticia del monstruo marino?3.Cuando Ana Rosa relata lo que vio la gente no le crey. Qu sucedi para que le creyeran?4.Una vez convencidos los vecinos de que s haba un monstruo marino en la baha de Sosa, qu queran hacer los vecinos? Por qu?5.Cuando Ana Rosa comienza a escribir la historia sobre el monstruo marino tal parece como si comenzara a establecer un parecido entre ella y el monstruo. En qu se parecen el monstruo marino y Ana Rosa?6.La historia que Ana Rosa escribi capt la atencin de todo el vecindario, en especial la de su hermano Guario. Cmo sabe el lector que a Guario le gust mucho la historia que escribi su hermanita?7.Qu result ser el monstruo marino que Ana Rosa haba divisado?8. Cmo Ana Rosa describe la experiencia de escribir la historia y por qu?el color de mis palabras novela de espaol Otis had a salad for $4.50, a sandwich for $6.25, and a drink at his favorite restaurant. The tax for the entire meal was $0.54. What was the price of the drink. Meal tax 4.5% HELP I WILL MARK THE BRAINLIEST ANSWER Simplify the product 5/n+1*n+1/n+35n+1/n^2 + 4n+ 35n+1/n^2+4n+35/n+35n+1/n+3 -12x + 2 y = 8-6x + y = -3 100 Ponits give away to answer the question.Which relationship describes angles 1 and 2?adjacent anglescomplementary anglessupplementary anglesvertical anglesTwo parallel horizontal lines intersected by an angled line with one labeling the top left angle and two labeling the bottom right angle of the top line 60 Points. Please answer each question seriously. If there are any fake answers used only to get the points, your account will be reported. Best answer gets a brainliest :)Label the unconditionedstimulus, unconditioned response, neutral/conditioned stimulusand conditioned response in both of the chosen scenarios. Scenario #1An ice cream truck frequently stops in Jamal's neighborhood during the summer months. Jamal loves ice cream!Just the thought of it makes him crave a nice, cold ice cream cone. Now, every time Jamal hears the song fromthe ice cream truck, his mouth starts watering.Scenario #2Sally's little brother has been torturing her with his green foam ball. Every time he sees her lately, he throws theball right at her. Now, Sally flinches just at the sight of the green ball.Reflect on what you've learned about classical conditioning and the examples you encountered in the lesson. In one paragraph, Describe at least one example of classical conditioning you have experienced or witnesses in everyday life (ex. training a pet, food dislikes due to illness, conditioned fears, etc) Which of the following best describes the Roman religion before the spread of Christianity?