The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4. Write an equivalent function of the form G(t) = ab.

Answers

Answer 1

The equivalent expression would be; function G(t) = 86,400•3^t

What is a function in simple definition?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4.

we have to find out an equivalent function of the form G(t) = ab.

Here, we want to make a transformation

From what we have;

G(t) = 2500(5)^(t - 4)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

G(t) = 2500•3^t•3^2

G(t) = (9 * 9600) * 3^t

G(t) = 86,400•3^t

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Related Questions

I WILL MARK BRAINLYIST


Describe a meal that you could put together that provides 4 servings of both a main

course and a side dish. Explain how you know that it will not exceed the weight limit of the box

Answers

A meal that you could put together that provides 4 servings of both a main

course and a side dish and not exceeding the weight limit is 4 servings of

chicken and 4 servings of baked beans.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given, Each box can hold a maximum of 44 ounces.

By observing the given table we see 4 servings of chicken would weight

2×12.6 oz = 25.2 oz.

And 4 serves of baked beans weigh 14.2 oz.

Therefore, The total serving would weigh (25.2 + 14.2) oz.

= 39.4 oz.

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Steve wanted to build a small racetrack for his remote-control car in his back yard. He used makeshift equipment to make a perfect circle for his racetrack. The circle had a radius of 32 feet. If a car takes 3 complete turns around the racetrack, approximately, how many feet did the car travel?

Answers

Answer:

602.88 feet

Step-by-step explanation:

Number of turns = distance travelled / circumference of  the circle

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2πr or πD

π = 3.14

r = radius

d = diameter

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

2 x 3.14 x 32 = 200.96

feet traveled - 200.96 x 3 = 602.88 feet

what’s the volume????

Answers

Answer:

The volume of the cone is 1526.04 km cubed

Step-by-step explanation:

The equation for a right cone is πr^2 multiplied by h/3. The r equals radius and the h equals 18. So, we get the equation π(9)^2 multiplied by 18/3. When put into a calculator, you get 1526.04. (Remember to use 3.12 NOT π.)

Create the quadratic function that contains the points (0,2), (1,0), and (3,10). Show all of your work for full credit.

Answers

Answer:

y=7/3x²-13/3x+2

Step-by-step explanation:

Determine the value of c:

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

Substitute (1,0) into the quadratic and create an equation with a and b:

y=ax²+bx+2

0=a(1)²+b(1)+2

0=a+b+2

-2=a+b

Do the same with (3,10) to get a second equation:

y=ax²+bx+2

10=a(3)²+b(3)+2

10=9a+3b+2

8=9a+3b

Set the two equations equal to each other and solve for a and b:

-2=a+b

8=9a+3b

Multiply first equation by 3 and eliminate b to find a:

 -6=3a+3b

- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

Substitute 7/3=a into the first equation:

-2=7/3+b

-2-(7/3)=b

-13/3=b

Final equation:

y=7/3x²-13/3x+2

See the graph for a visual representation

PLEASE JUST HELP ME ( LINKS= REPORT)

Answers

Answer:

hexagonal based pyramid

E

7 faces

12 edges

7 vertex

13

15

Hope it helps :)

please help!!!

This is no confusing please help meeeeh.

Answers

Answer:

The squares would be 2

First one would be 2 × 2 × 2 = 8

The triangles would be 3

Second one would be 2 × 3 × 3 × 3 = 54

Circles would be 1

Third one would be 2 × 3 × 1 × 1 = 6

So that means the last one would be 1 × 2 × 3 = 6

Hope it all made sense and helped :)

What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?

Answers

The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.

The given question is in the form of an equation.

let's try to understand what is an equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,

the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

There are so many types of equations present linear equations, quadratic equations, and cubic equations.

According to the degree of the equation so many different types of equations.

2x^2 + x -a + 4  = 5 put x = 0.

2*0 + 0 - a + 4  = 5

-a + 4 = 5

-a = 5 - 4

-a  = 1

a  = -1.

So the value of a is -1.

Given Question is incomplete complete question here

What should be the value of a if the value of  2x^2 + x -a + 4  equals to  5 when x =0.

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plzzzzzzzzzzzzzzzzzzzzzzz help I will give 10 points and mark brainlest

Answers

Answer:

5^6

Step-by-step explanation:

the answer is 5^6. you calculate the product and then simplify the expression.

please only 2 minutes. this is late now and i need it done NOW. no files i’m so stressed rn

Answers

In great east japan a tsunami happened

What is an inverse proportional graph?

Answers

Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.

When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.

Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.

If y  is inversely proportional to x then we write y = 1/x

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Identify all of the necessary assumptions for a significance test for comparing dependent means.
>Categorical Data
>At least 15 successes and 15 failures in both groups
>Quantitative Data
>Random Samples or Random application of treatments
>n is greater than or equal to 30 OR Population of Differences could be Normally distributed.
>Both sample sizes are greater than 30 or Both population distributions could be Normally Distributed

Answers

The correct answer will be:

Quantitative data, both sample sizes are greater than 30 or Both population distributions could be Normally Distributed, Random Samples or Random application of treatments

There should be just one group for each subject. The observations in each category are unrelated to one another. There were no notable outliers in any category.

The following are the presumptions for a percentage significance test: Data come from a random sample [Sample is large enough, which is presumed to be true when. It should be noted that both quantitative and categorical data can be subjected to a significance test for a proportion.

Most parametric tests begin with the underlying presumption of population distribution. The ratio scale or interval scale measurements, easy random extraction, normal distribution of the data, a sufficient sample size, and homogeneity of variance are all prerequisites for performing the t-test.

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 19 feet. Container B has a diameter of 20 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

After the pumping is complete, what is the volume of water in Container B, to the nearest tenth of a cubic foot?

Answers

Answer:

4834.91 cubic ft.

Step-by-step explanation:

The volume of a right-cylinder is

[tex]\pi{r}^{2} h[/tex]

we are only concerned with the total amount of water from A.

plug in the respective radius (half the diameter) and height for A into our formula above and solve.

HELP PLEASE—lindo pours 5 gallons of water into 3 buckets. He pours the same amount into each bucket. How much water is in each bucket?

Answers

Answer:

5/3 or 1 2/3

Step-by-step explanation:

Simply do 5 / 3 to get your answer. You can either say it is 5/3 or 1 2/3.

Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Area is given as 49 square inches.

The formula for area A =  

base is given as x

Height is given as x

Hence area is A

A =  

Multiplying 2 in both sides

Taking square root on both sides

hence the answer is x = 9.9 in   :  Answer

Hope it will help :)

Pop is on sale at Save-U-Lots. Which pack has the lowest cost per unit?


A. 6- pack for $2. 49


B. 12-pack for $3. 99


C. 24-pack for $5. 49

Answers

In the case of a 24-pack for $5. 49, the cost of the unit is the lowest.

The cost per item is nothing to the amount of money invested in buying one item.

As we have 3 different scenarios:

Case A. 6- pack for $2. 49

As here. cost of 6 packs is $2.49, so for determining the cost of one pack we will divide $2.49 by 6.

So, the cost of 1 pack will be = 2.49/6 = 0.415 $/pack

B. 12-pack for $3. 99

As here. cost of 12 packs is $3.99, so for determining the cost of one pack we will divide $3.99 by 12.

So, the cost of 1 pack will be = 3.99/12 = 0.3325 $/pack

C. 24-pack for $5. 49

As here. cost of 24 packs is $4.49, so for determining the cost of one pack we will divide $5.49 by 24.

So, the cost of 1 pack will be = 5.49/6 = 0.22875 $/pack

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For items 15 -16 refer to the figure at the right
15. Which is the common side of Ļ BCA and Ļ ACD ?
A. segment BC B. segment CE C. segment AC D. segment CD
16. Which two angles are congruent if segment CD bisects ĻACE
A. Ļ BAC and ĻACE B. Ļ BAC and ĻACD C. Ļ CDE and ĻACE
D. Ļ ACD and ĻCDE
17. What property is described in the statement: AB ≅ AB?
A. transitive B. reflexive C. substitution D. symmetric
18. Which term refers to the collection of axioms or statements about undefined terms?
A. numeral system B. postulates C. axiomatic system D. theorems
19. What basic geometric principle are proven to be true by making connections between accepted definitions?
A. axioms B. postulates C. theorems D. defined terms
20. Which statements are assumed to be true without any proof ?
A. undefined terms B. postulates C. theorems D. defined terms

Answers

Answer:

15. C. segment AC

16. D. angles ACD and DCE

17. C. substitution

18. C. axiomatic systems

19. A. Axioms

20. D. Defined Terms

The solution process is shown for an equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop-down menu. 2 ⁢ ( 3 ⁢ y + 4 ) − 3 ⁢ ( y − 2 ) = 2 ⁢ y original equation 6 ⁢ y + 8 − 3 ⁢ y + 6 = 2 ⁢ y 3 ⁢ y + 14 = 2 ⁢ y combining like terms 14 = - y - 14 = y y = - 14

Answers

All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(3y + 4) − 3 (y − 2) = 2⁢y

Simplify the equation, then we have

2(3y + 4) − 3 (y − 2) = 2⁢y

6y + 8 − 3y + 6 = 2y

3y + 14 = 2y

14 = 2y - 3y

14 = - y

y = - 14

All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.

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please no links or anything except the correct answer, please!

Answers

Answer:

cosS is 33/65

Step-by-step explanation:

Simplify the following: (3 + 10i) - (-9 - 4i)

*PLEASE INCLUDE EXPLANATION

Answers

Answer:

12+14i

Step-by-step explanation:

For -(-9-4i), you need to clean up the parentheses so you would distribute. -1 times -9 and -1 times -4i.

You will get 9+4i

Now you have 3+10i+9+4i. You will now add like terms. 10i+4i= 14i. 9+3= 12.

12+14i

brainliest pls

The marked price of a computer is Rs. 60000. If allowing a% discount on the marked price and adding a% VAT, the price of the computer will be Rs. 58986. Find the rate of VAT.​

Answers

The problem can be solved using algebra. Let's say the discount rate is x, then the price after discount is:

60000 (1 - x/100)

The price after VAT is:

60000 (1 - x/100) (1 + y/100) = 58986

Where y is the rate of VAT.

Rearranging the equation we get:

(1 - x/100) (1 + y/100) = 58986/60000

Multiply both sides by 100 to get rid of the fractions:

100 (1 - x/100) (1 + y/100) = 981

Expanding and grouping like terms, we get:

100 - x + 100y - xy = 981

We can see that x is in two terms, so we can move one side of the equation and get:

100 - x + 100y = 981 + x

x = (981 + x - 100 + 100y)/100 = (981 + xy - 100y)/100

Now we have x in only one term and we know the value of x is 10%, so we can substitute it:

10 + 10y = 9.81

Solving for y we can find that y = 0.81 or 81%

So the VAT rate is 81%

Anjali spent half her weekly allowance at the movies. To earn more money her parents let her clean the gutters for $5. What is her weekly allowance of she ended with $12? (do NOT use $ in your answer. Numbers only)

Answers

Answer:

14 dollars

Step-by-step explanation:

Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)

Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone

Answers

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

How do you find the maximum volume of a cone?

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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1. Indicate whether the value of each expression is positive or negative.
-3(-6)
(-3)(6)
-(-3)(6)
2(3)(-6)
-2(-3)(-6)
2(-3)(-6)

Answers

So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)

So going down the list:

(-3)(-6) = positive (two negatives!)

(-3)(6) = negative (one negative, one positive!)

-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)

(2)(3)(-6) = negative

(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)

(2)(-3)(-6) = positive

I hope this helps!

HELP FAST !!!
“Find the volume of the triangular prism below”

Answers

Answer:

1,848 m3

Step-by-step explanation:

above answer is right

Which expression can be used to find AC

Answers

Answer:

7.8cos23 feet

Step-by-step explanation:

Which expression can be used to find AC

From the given diagram;

Hypotenuse = AB = 7.8ft

Adjacent to <A = AC

Using the SOH CAH TOA identity;

cos theta = adjacent/hypotenuse

cos 23 = AC/AB

cos 23 = AC/7.8

AC = 7.8cos23

AC = 7.8(0.9205)

Hence the measure of AC is 7.8cos23 feet

(1) 6:45 p.M. - ______ (2) 17:15 H - ______ (3) 1:25 a.M. - ______ (4) 4:15 p.M. - ______ (5) 00:15 H - ______

Answers

Answer:

(1) 6:45 p.M. - ______18: 45H

(2) 17:15 H - ______ 5: 15 pm

(3) 1:25 a.M. - ______  1:25 Hours

(4) 4:15 p.M. - ______  16: 15H

(5) 00:15 H - ______ 12:15 am .

Step-by-step explanation:

(1) 6:45 p.M. - ______18: 45H

This is ( 6:45 + 12) 18 hours and 45 minutes from the beginning of day .

So the 24 hour time is 18: 45H

(2) 17:15 H - ______

This is 17 hours and 15 minutes from the beginning of day.

Taking 12 hours from the morning gives 5 hours since midday. So it will be in the evening i.e 5: 15 pm

(3) 1:25 a.M. - ______

This is 1 hours and 25 minutes from the beginning of day.

So it will be in the  ( 00:00+ 1:25) 1:25 Hours in the 24 hour clock.

(4) 4:15 p.M. - ______

This is ( 4:15 + 12) 16 hours and 15 minutes from the beginning of day .

So the 24 hour time is 16: 15H

(5) 00:15 H - ______

This is only 15 minutes from the beginning of day.

So it will be in the  ( 12:00+ 0:15) 12:15 am .

DIG DEEPER! A cube is removed from a rectangular prism. Find the surface area of the figure after removing the cube.


A rectangular prism with length 9 feet, width 8 feet, and height 5 feet. A cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet.


The surface area is ______ square feet

Answers

The surface area of the figure after a cubic hollow runs to the height of the rectangular prism is 364 square feet.

The surface area is 364 square feet.

Find the surface area of the rectangular prism.

To do this, use the formula for the surface area of a rectangular prism:

(2 x length x width) + (2 x width x height) + (2 x length x height)

In this case, the length is 9 feet, the width is 8 feet, and the height is 5 feet. Plugging these values into the formula gives:

= (2 × 9 × 5) + (2 × 8 × 5) + (2 × 9 × 8)

= 314 square feet

When a cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet, 2 cubic faces is removed and 4 cubic faces added to the surface area of the resultant solid. So

surface area = 314 - 2×5² + 4×5²

= 314 + 2×5²

= 314 + 50

= 364 square feet

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An example of a dangerous passing situation is: When the oncoming car is close and you have a long line of traffic ahead of you When you can't see clearly ahead and the maneuver may not be completed in time All options When road and traffic conditions make driving tricky

Answers

Anytime one makes a traffic manoeuvre, such as changing lanes or passing another vehicle, a person put both himself and other drivers on the road in danger.

What are the methods for passing risky situations?

Avoid driving at intersections with railroads, railroad crossings, and entrances to shopping centres.

Only pass to the left if there are two lanes on the road. It is frequently illegal and dangerous to pass on the right. Only when the car in front of you flashes its left turn signal is there an exemption.

When there is a long line of traffic and an oncoming car is right ahead, it is advisable to wait until the incoming vehicle has passed before making a passing motion.

Therefore, it is best to wait until one can see fully ahead because there might be an approaching car right around the bend.

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Write the coordinates of the vertices after a translation 1 unit down.

Answers

Answer:

M(4,0)

K(0,5)

L(6,5)

go down one

How do you write a log function?

Answers

A logarithmic function can be said to be an inverse function of exponents.

There are 2 kinds of logarithmic functions, natural lo and log with a base of 10.

The natural lo has an "e" as its base. This is an irrational number often used in Mathematics.

Here we write it as:-

ln a

where a refers to any number a. We generally don't mention anything for the base because it automatically implies that the base is e.

The second way is to write:-

logₓa,

here the "x" is the base while a is any number. Now logₓa will actually give us the exponent or the power of x that will give us a result of a. Here it is important to mention the value of the base.

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If triangle NPZ ~ triangle HBZ find the measure of angle B.Please show the steps If radii of two concentric circle are 28 cm and 18 cm respectively if the perimeter and the area of the circle are numerically equal then find the radius of the circle A bronze statue weighs 2400N. Its base is 4 meters in length and 1 meter wide. What is the statue's pressure on the floor? What is the length of bc in the right triangle below Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A(2, 2), B(1, 4), C(5, 4)? Which sociological research method is most likely to produce quantitative data that will identify cause-and-effect relationships Which of the following is NOT one of the three ways for companies to set prices?a. medium pricesb. high pricesc. low pricesd. discretionary prices Tech A says that both caution and danger signs indicate a potentially hazardous situation. Tech B says that an exhaust extraction hose is not needed if the vehicle is only going to run for a few minutes. Who is correct In what way does the arrival at Gleiwitz seem to have been even more dangerous than the trip to it? Does anyone know this answer?? Which of the following does NOT cause a shift in a chemical equilibrium position?a. Decreasing temperatureb. Adding more solid reactantc. Increasing concentrationd. Decreasing volume What are the five examples of trends? How can I make my own cheerleading routine? How is anti-Semitism a form of racism? Which are examples of normative goals? Check all that apply.aiming for better grades next semesterwinning an essay contest in English classlearning to speak a foreign languagecampaigning to be class presidentdoing extra research for history class. Now that you have survey answers from 10 people, type a small report to your teacher with your results (in Spanish). Make sure to include how many people chose each answer.The survey questions are included below for reference and to to help organize your response. School Subjects Survey Potassium + Chlorine --> Potassium ChlorideWrite the balanced chemical equation for this.Will mark brainliest :) Which term describes this reactions?additioncondensationeliminationsubstitution Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3. Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?