Equations of Exponential Functions

Given the following equation of an exponential function
C = 10.5(1.194)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?

a. b is 1.94; It is a growth factor.
b. b is 1.194; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.

Please select the best answer from the choices provided

Answers

Answer 1

Answer:

A. B is 1.194; It is a growth factor.

Step-by-step explanation:

I calculated it logically


Related Questions

Can someone solve this please? Thank you!

Answers

Answer:

.125

Step-by-step explanation:

1/4 times 1/2 equals .125.

Answer:

Total area of the box is 1 ft squared

Area of the shaded box is .125 ft squared

Area of the non - shaded box is .875 ft squared

Step-by-step explanation:

To find the total area, we can multiple the length * height, 1 * 1 = 1.

To find the shaded area, we can multiple the length * height, .5 * .24 = .125.

To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.

Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.

[tex]P = 4xr^{2} .[/tex]

Which equation correctly rewrites the formula to solve for I?

A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]

Answers

Answer: C correctly rewrites the formula to solve I

Step-by-step explanation:

A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,

Answers

It would land on blue about 115 times. The spinner lands on blue roughly 23% of the time, and 115 is 23% of 500.

Help please will mark brainliest!

Answers

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.

Answers

Answer:

the short side is equal to 2 feet

Step-by-step explanation:

24 = (2x)*(x-4) = 2x² -8x

you'll just use solve on your calculator and get that the x is equal to -2 or 6

which means the short side must be equal to 2

Answer:

2 ft

Step-by-step explanation:

Sides are:

x - 4 and 2x

The area is the product of the long and short sides:

2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6

The short side is:

x - 4 = 6 - 4 = 2 ft

can anyone help me with this click to see

Answers

Answer:

-3,-5,-6,-10

Step-by-step explanation:

Answer:

-3 -5 -6 -10

Step-by-step explanation:

Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?

Answers

There was 4 dollar of discount on the total amount.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2


a
=
8.7
rounded to 1 DP
b
=
0.82
rounded to 2 DP
Find the maximum of
a
+
b

Answers

The maximum value considering DP of a and b is 9.52.

What is the decimal places of numbers?

The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;

4.76 3 dp

The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.

From the given question;

a = 8.7 and b = 0.82

Thus,

a + b = 8.7 + 0.82

        = 9.52

a + b = 9.52

Therefore, the maximum of a + b = 9.52

Learn more about decimal places of numbers at https://brainly.com/question/29074871

#SPJ1

hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)

Answers

The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].

What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.

Given data :

4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)

Add similar elements

= 7[tex]\sqrt[5]{x^{2} y}[/tex].

Learn more about fractional equation refer to :

https://brainly.com/question/20323470

#SPJ1

Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?

Answers

The ratio of number of burgers without onions to the number of burgers with onions is 4:1.

Ratio of numbers.

The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.

Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;

ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)

                = 12/ 3

                = 4/ 1

The ratio of number of burgers without onions to burgers with onions = 4:1

Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.

Learn more about ratio of numbers at https://brainly.com/question/2914376

#SPJ1

identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.​

Answers

Step-by-step explanation:

If you substitute the x in 2x+8 with 7, you get:

2(7)+8

14+8

22

If you substitute the x in 2x+8 with 5, you get:

2(5)+8

10+8

18

Hope this helps!

1. A family went to a restaurant. The total cost
of the meal was $46.50. The family had a
coupon for 30% off the total. What was the
final cost of the meal after the coupon was
used?

Answers

Answer:

32.55

Step-by-step explanation:

If you get 30% off, that means you pay (100% - 30% = 70% of the cost)

46.50 * 70%

46.50 *.70

32.55

The final cost (without tax) would be $32.55

The difference between six and a number is two​

Answers

Answer:

4.

Step-by-step explanation:

the difference means -.

between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.

Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?

Answers

Answer:

25*0.5 = 12.5

How do I solve 6,000-5,258

Answers

Answer:

742

Step-by-step explanation:

6000

-5258

   742

please help will give brainliest

Answers

Answer:

2112

Step-by-step explanation:

we find the area of the base first

which is 16*12/2 because it is a right triangle

16*12/2 = 96

then we multiply the base by the height

22*96 = 2112

as a note, remember, prism volume is all base * height

brainliest if this was helpful

If there are 26 successes in a sample with a size of 40, what is the sample
proportion?
A. 0.65
B. 0.52
C. 0.75
D. 0.26
SUBMIT

Answers

Answer:

0.65

Step-by-step explanation:

plzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.

Answers

Answer:

√2119936=1,456

Step-by-step explanation:

6th grader who needs help :( anyone know?

Answers

The answer is 4 so B

Answer:

B. 4

Step-by-step explanation:

Create an equation:

80 = 18x+8

Solve for x by subtracting both sides by 8:

80-8 = 18x+8-8

72 = 18x

Divide both sides by 18:

72/18 = 18x/18

4 = x

4 is the greatest number of DVDs she can buy.

in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{7}{35} =\frac{y}{100}[/tex]

35 · y = 7 · 100

35y = 700

35y ÷ 35 = 700 ÷ 35

y = 20

Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true

Answers

9514 1404 393

Answer:

  no, yes, yes, no, yes

Step-by-step explanation:

You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.

The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.

The negative numbers are No; the positive numbers are Yes.

Which of the following numbers is one fifth of a given number if one fourth of that same number is 20

Answers

Answer:100

Step-by-step explanation:

Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.

Answers

On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

-7 < x < -2

-2 < x < 3

and 3 > x > 8

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

A. B. AB ≅ AC
C. D. CS ≅ ST

Answers

Answer:

what are the rest of the choices, if the ones are the top ones they dont make sense.

Step-by-step explanation:

An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?

Answers

Answer:

12.57 ft

Step-by-step explanation:

First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.

Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.

Now that we have our radius we can use the formula:

[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)

Using 3.14 for pi we get:

[tex]C=2(3.14)(2)[/tex]

[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)

(Please help) (one question) (NO LINKS)

Answers

Answer:

0.25

Step-by-step explanation:

hope that helps!!!!!!!!!!!!!!!!!!!! :)

A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?

Answers

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400

A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.

Answers

Answer:

chocolate chip 7

walnuts 3.5

Step-by-step explanation:

assume x=chocolate chips

 y=walnuts.

equation

4x + 8y=33

(2x+3y=13)×2

new eq

4x + 8y=33

4x + 6y=26

------------------

 2y=7

  y=7/2

4x+ 8y = 33

4x + 8(7/2)= 333

4x= 33-28

x=7.00

i need to show work it’s algebra 2

Answers

Answer:

a=4 because 4+2=6 on number one

This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4

Answers

I had the same problem

A. x2+y2=16 I just did this question.

Other Questions
DIRECTIONS: Imagine that you are a museum tour guide giving a tour of these works of art to a group of 5th graders. In a separate piece of paper write down what you would tell them, make sure to mention some of the reasons for why people of this culture or time period might have made this art. Each answer must be at least 4 complete sentences. Use the list below to help you compose your responses. Here are the questions:1. Whats going on in this artwork?2. How would you describe this artwork to someone who has never seen it ?3. Which area of the artwork is most important? Why?4. Is this artwork mysterious, boring, or exciting?5. What do you think happened next or before this scene? What does 2 1/3 + 1 1/5 + 1 1/5 =? Identify the subject, verb, direct object, and indirect objectSeveral 9th graders give the homeless shelter their time every Saturday when they volunteer with young children. The arrangement and movements of performers relative to each other and to the stage space is calledA. blocking.B. business.C. auditions.D. casting. Please Help :,D43.5-g of cesium explosively reacts with water to form hydrogen gas and cesium hydroxide. How many moles of hydrogen gas were formed?2Cs(s) + 2H2O(l) --> 2CsOH(s) + 1H2(g)Calculate the mass of silver needed to react with chlorine to produce 42 g of silver chloride.2Ag(s) + Cl2(g) --> 2AgCl(s)Silver Nitrate reacts with sodium chloride to make the silver chloride and sodium nitrate. When 12.65 grams of silver nitrate is reacted. How many grams of silver chloride are formed?AgNO3(s) + NaCl --> AgCl(s) + NaNO3(aq)Calcium Carbonate decomposes into calcium oxide and a common gas, carbon dioxide. When 91.0 grams of calcium oxide is formed how many liters of carbon dioxide gas is also formed from this reaction. First find the number of moles of carbon dioxide gas actually formed in the reaction, then use the following conversion factor: 1 mol CO2(g) = 22.4 Liters of CO2(g)CaCO3(s) + HEAT --> CaO(s) + CO2(g) What is the main idea of the preamble of the Declaration of Independence? Bauxite is best used for making (1 point) nails wires paints drains ***missed it on test when answered wires**** How did entertainers assist the government's World War II propaganda campaign they promoted enlistment and other patriotic activities they served in? n experimental vehicle starts from rest (0 = 0) at = 0 and accelerates at a rate given by = (7m/s3). What is (a) its velocity and (2) its displacement 2 later? what is the equation linking current, potential difference and voltage Creating a color wheel works BEST using _____ or _____ paint. A. acrylic; oil B. acrylic; tempera C. oil; watercolor D. tempera; watercolor What is the surprise revealed at the end of the story? What skills and abilities were most valued by writers of renku? (Select all correct answers.)spontaneityprecisionmusicalitywit 50 POINTS q10 Which statement about the war of 1812 is false? Native Americans decided to fight against the British in the hope that they would share land with the United States. The United States and Britain ended the war by agreeing to a peace treaty. The Battle of New Orleans, won by the United States, was the final battle of the war. The British attacked Washington D.C. and burned down the White House. Please no links and help me answer!!Ex:1. (answer)2. (answer)3. (answer)4. (answer)P.S. Showing work is optional If 0 < 0 < 90 or 180 < 0 < 270, explain why sin 20 is always positive. Please------------------ What were the 2 types of plays that were performed? pls help 1. write the complete chemical symbol for the ion with 14 protons 15 neutrons and 18 electrons2. write the complete chemical symbol for the ion with 27 protons 32 neutrons and 25 electrons can someone help me with the ex 8? the whole exercise