Mathematics Middle School

Rewrite the exponential function y = 12 (0.56)^(t/4).
Round your answer to two decimal places.

Answers

Answer 1
The exponential function will be written as:
 y = 12 (0.56)^(t/4)
y=12(0.56^(1/4))^t
but
0.56^(1/4)=0.8651
thus plugging the value in y we get:
y=12(0.8651)^t
in two decimal places we get:
y=12(0.87)^t
Answer 2

The exponential function will be written as:

y = 12 (0.56) ^ (t/4)  

y=12 (0.56^ (1/4)) ^t

but

0.56^ (1/4) = 0.8651

thus plugging the value in y we get:

y=12 (0.8651) ^t

in two decimal places we get:

y=12 (0.87) ^t

Related Questions

The local volleyball team hosts a concession stand to raise money. They spend $120 to purchase popcorn, candy, and drinks. They buy 95 bags of popcorn at $0.75 each and 35 bags of candy at $1.20 each. How much money does the volleyball team have left to spend on drinks?

a. $7.25 b. $15.50 c. $6.75 d. $20.25

Answers

The answer is C. $6.75.

This is found by multiplying 95 by $0.75 and adding the product ($71.25) to the product of 35 times $1.20 ($42). Then subract $113.25 (sum of $42 and $71.25) from 120 to get your final answer.

I hope this helps!

The money left to spend on drinks is $6.75.

Correct option is (C).

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. The term "arithmetic" (which comes from the Greek word "arithmos," "number") often refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

Total money spend = $120

95 bags of popcorn at $0.75 each

35 bags of candy at $1.20 each

Money spend on popcorn = 0.75 × 95 = $71.25

Money spend on candy = 1.20 × 35 = $42

Money spend on popcorn and candy = $71.25 + $42 = $113.25

Money left to spend on drinks:

= Total money - Money spend on popcorn and candy

= $120 - $113.25

= $6.75

Hence, the money left to spend on drinks is $6.75.

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Each side of ΔABC is 75 units in length. Point D is the foot of the altitude drawn from side A to side BC. Point E is the midpoint of segment AD. What is the length of BE

Answers

The first thing is to calculate the area of the triangle ABC using the Hero's formula. 
Area = √(s(s-a)(s-b)(s-c))
Where s is half the perimeter and a, b, and c are the lengths of the triangle.
s = 0.5(3×75) = 112.5
Since our triangle is equilateral, a=b=c
Area = √(112.5(112.5-75)³) 
        = √5,932,617.188
        = 2,435.696448 square units.
The same area can be found using the formula, 0.5(bh). Where b is the base length and h is the altitude from the base length.
In this triangle, b=75.

∴ 2,435.696448 = 0.5(75×h)

     h = 4,871.392896÷75
        =64.95190528 units

Since E is the midpoint of AD, then DE=h÷2=32.47595264 units

Now we have a right triangle BDE, where BE is the hypotenuse and BD=75/2. 

∴ BE = √((BD)²+(DE)²)
         =√(37.5²+ 32.47595264²)
         = √2,460.935815
         = 49.6078 units.
The answer is 49.6078 units.

SOlution:

Area = √(s(s-a)(s-b)(s-c)).s = 0.5(3×75) = 112.5So,Area = √(112.5(112.5-75)³)         = √5,932,617.188        = 2,435.696448 square units.
2. 2,435.696448 = 0.5(75×h)
     h = 4,871.392896÷75        =64.95190528 unitsDE=h÷2
=32.47595264 units


3. BE = √((BD)²+(DE)²)         =√(37.5²+ 32.47595264²)         = √2,460.935815         = 49.6078 units.

please help50 points and brainliest to first one to answer

Answers

762 is the answer to the first one

Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.
a 0.3% b 25% C 33.3% D 133.3%

Answers

I got the answer c and if I am correct then it is repeating also
280n = 210
Isolate n:
n = 0.75
1.0 - 0.75
25% decrease, option b

john surveyed a random sample of 10 students in 7th grade seven of them they would vote for tammy as class president if there are 230 students in 7th grade what is the best estimate of the students who would vote for tammy

Answers

7 out of 10 would vote for Tammy so what value (x) would vote for her out of 230. Set up a proportion comparing the two.

x= # of people who vote Tammy

7 out of 10= x out of 230
7/10= x/230
cross multiply

(7*230)= (10*x)
1610= 10x
divide both sides by 10

161= x


ANSWER: 161 people in 7th grade would vote for Tammy.

Hope this helps! :)

Please help me!
How many possible outcomes are there when you roll four dice?

A. 1416
B. 1296
C. 24
D. 36

Answers

There are C. 1296 outcomes when you roll 4 dice. Hope this helps:)
Final answer:

When rolling four six-sided dice, there are 1296 possible outcomes. This is calculated by raising the number of outcomes for one die (6) to the power of the number of dice (4).

Explanation:

The subject of this question pertains to the probability in Mathematics, specifically focusing on the number of possible outcomes when rolling a die multiple times. In this case, we're looking at rolling four six-sided dice.

When you roll one die, there are indeed 6 possible outcomes, as a standard die has 6 faces. But if you roll two dice, the number of possible outcomes increases to 36 (6 outcomes for the first die times 6 outcomes for the second die).

Now in our case we are rolling four dice. Hence, the number of outcomes will be 6 to the power of 4, which means 6 * 6 * 6 * 6 = 1296. Therefore, the correct answer is B. 1296.

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Kenny wrote the equation for a linear relationship shown below
Y=-3x+4
If x equals 7 what is the value of y

Answers

y would equal -17! Good luck!
Y is equal to -17. This is the answer becuase -3 times 7 is -21 and -21 plus 4 is equal to -17.

Figure a’b’c’d’f is a dilation or figure abcdf by a scale factor of 1/2. The dilation is centered at (-4,-1)


Which statement is true?

Answers

What are the options?

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy.
The inequality that best represents this scenario is _____. A. 8.5x + 20 > 54 B. 8.5x - 20 < 54 C. 54 - 8.5x < 20 D. 54 - 8.5x > 20
The number of tubes of paint Catherine can buy is _____. A. at least 5 B. more than 4 C. less than 4 D. more than 5

Answers

The inequality that best represents this scenario is: A) 8.5x + 20 > 54
The number of tubes of paint Catherine can buy is: C) less than 4

Final answer:

The inequality representing Catherine's scenario is 8.5x + 20 < 54, and the number of tubes of paint she can buy is less than 4.

Explanation:

The inequality that best represents the scenario where Catherine has $54, plans to spend more than $20 on a painting canvas, and the rest on paint tubes that cost $8.50 each, is 8.5x + 20 < 54. This equation illustrates how much money Catherine will have left after purchasing the painting canvas for more than $20.

To determine the number of paint tubes Catherine can buy, we solve the inequality:

Subtract 20 from both sides: 8.5x < 54 - 20

Simplify the right side: 8.5x < 34

Divide both sides by 8.5 to isolate x: x < 34 / 8.5

Calculate x: x < 4

Therefore, the number of tubes of paint Catherine can buy is less than 4 (C. less than 4).

6xt3x -x+9 =33 solve the equatolion

Answers

I'm pretty sure it's 3 (I did it in my head)

Shavon is going to wrap a box that is shaped like a rectangular prism. The box is 12 inches long, 8 inches wide, and 3 inches high. What is the least amount of wrapping paper that Shavon will need to completely cover the Box?

Answers

It is given in the question that , the box is 12 inches long, 8 inches wide and 3 inches high .

We have to find the least amount of wrapping paper that Shavon will need to completely cover the box .

And for that we have to use the formula of surface area, which is

[tex] Area= 2(length*width+width*height+length*height) [/tex]

Substituting the values of length, width and height, we will get

[tex] Area= 2(12*8+8*3+12*3) =2(156)=312 [/tex]

Correct option is the last option .

On the first day of the year you have $700 in your bank account you spend $35 per week your friend starts the year with 450 in his bank account he said to $15 per week solve the equation 700-35W equals 450+15 W to find out how many weeks W it will take for you and your friend to have the same amount of money in your bank account

Answers

700 - 35W = 450 + 15W
       +35W            +35W
700 = 450 + 50W
-450  -450
350 = 50W 

7 = W

It will take 7 weeks for their bank accounts to be the same. 

Put the two expressions 700-35w and 450+15w on either side of an equal sign. Solve. 
Hope this helps!

How to Factor out the coefficient of the variable 3n-24

Answers

Find the greatest common factor between 3n and 24. It's 3. 

Now divide each term by 3 inside the equation. 

3n / 3 = n
- 24 / 3 = - 8

So your new equation is 3(n - 8). 

Juan added 3/5 gallon of gasoline into his car’s empty fuel tank on Sunday. He uses 1/5 gallon of gasoline on Monday to go to work. He uses 2/5 gallon of gasoline on Tuesday during a short trip. Is his fuel tank empty after he drives on Tuesday? Explain.

Answers

Juan tank is empty because if he added 3/5 of gasoline to fill up his tank, and used 1/5 of it one Monday, that would equal 2/5.On Tuesday he uses 2/5 of the gasoline such equals zero. Hope this helped :)

Please help (puppy eyes)

Answers

First we have to find the decimal equivalent by dividing.
5 / 8 = 0.625

It can't be an Integer because decimals can't be intergers, so that's ruled out

It can't be repeating as it does end, so that's also ruled out

Since the decimal does end it can't be non-terminating, non-repeating

So the answer is Terminating Decimal by process of elimination

Mike took a taxi from his home to the airport the taxi driver charged an initial fee of six dollars +3 dollars per mile for total fare was $24 not including the tip how many miles and make travel by a taxi on his ride

Answers

Since it gives us 24 and initial fee was 3, we must subtract 3 from 24 to get 21.

Next, we divide 21 by 6 to get 3.5. 

Therefore, the answer is 3.5 miles by taxi.

Hope this helps.
Mike traveled 6 miles. Because, we subtract the initial fee from $24, we now have $18, and we divide by 3 since its $3 per mile.

The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end?
Round all years to the nearest whole number.

Answers

Step One
How many years did the Roman Empire Last?
Abs(27) + 476 = Roman Empire.
27 + 476 = 503 years.

Note the total number of years starts in BC. To add that to the AD number of years you have to take the absolute value of the 27. Otherwise you would be subtracting and that would make the total number of  years wrong by 54 years.

Step Two
Find 5/11 of the total number of years.
(5/11) * 503 = 228.6363 Hold off on rounding.

Step Three
Find the ending date.
Starting date = 550 BC
Ending date = ???
Number of years between Start and end = 228.6363
Ending date = starting date - 228.6363 you are working towards AD
Ending date = 550 - 228.6363
Ending date = 321.4 BC
Rounded that comes to 321 BC.

Answer:321

Step-by-step explanation:

see the difference between the roman empire numbers

find 5/11 of that

see how much there already is and subtract

it is 1,325 feet from kinsey's house to her friend carlito's house. when she visits carlito, she walks to his house and gets a ride home from carlito's mom. how many feet does kinsey walk to carlito's house in 112 visits.

Answers

148,400 feet
hope this helps!
Final answer:

Kinsey walks a total of 148,400 feet to visit Carlito's house 112 times. This was calculated by multiplying the distance of a single trip (1,325 feet) by the number of trips (112).

Explanation:

To solve this problem, we simply need to multiply the distance that Kinsey walks to Carlito's house by the number of visits she makes. So, the calculation would be 1,325 feet * 112 visits.

After doing this multiplication, we find that the total distance Kinsey walks to Carlito's house in 112 visits is 148,400 feet.

This is a good example of how problems can be solved using simple multiplication in real-life situations, like calculating the total distance covered in multiple trips.

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I need the answer ASAP!!

At Joe's Market, three oranges and one apple cost $1.86, and two oranges and three apples cost $2.15. What is the cost of one apple?

Answers

o=orange
a=apple

equation 1
3o+a=$1.86
a=$1.86-3o

use a=$1.86-3o in equation 2

equation 2 
2o+3a=$2.15
2o+3($1.86-3o)=$2.15
2o+$5.58-9o=$2.15
$5.58-7o=$2.15
$5.58=$2.15+7o
$3.43=7o
$0.49=o

then use $0.49=o for equation 1.

equation 1

3($0.49)+a=$1.86
$1.47+a=$1.86
a=$0.39

so an apple is $0.39.

How much interest is earned in four years on a deposit of 10,000 if it is allowed to accumulate in an account paying 7% interest compounded annually

Answers

Equation for one year:
0.07(10000) + 10000
But for 4 years:
4(0.07(10000)) + 10000
0.28(10000)) + 10000
We can make it simpler:
1.28(10000)
Multiply:
12800
YOU WILL HAVE $12800

find the value of x.

Answers

The figure has 4 sides, so we know that the interior angles add up to 360 degrees.

Make all the angles equal 360 degrees.

x + 92 + 82 + 47 = 360
x + 221 = 360
x = 139°

The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. Last year there were 63 inches of snow. Find the number of standard deviations from the mean that is, rounded to two decimal places

Answers

This is 2.5 standard deviations from the mean.

We find this by subtracting the mean from our value, and dividing by the standard deviation:
(63-38)/10 = 25/10 = 2.5

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

Answers

The true statement for the given information is the y coordinate is negative

The correct answer is:

d. The y-coordinate is negative.

Let's break down the problem step by step:

1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.

2. Determine the Coordinates of the Endpoints:

  - For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.

  - For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.

3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:

  [tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]

Now, let's apply these steps to find the properties of the midpoint:

1. Identify the Quadrants of the Endpoints:

  - Endpoint 1: Quadrant 2

  - Endpoint 2: Quadrant 3

2. Determine the Coordinates of the Endpoints:

  - Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate

  - Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate

3. Find the Midpoint:

  - Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.

  - Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.

Therefore, the correct answer is:

d. The y-coordinate is negative.

The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).

Complete question:

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

a. the x coordinate is negative

b. the x coordinate is positive

c. the y coordinate is positive

d. the y coordinate is negative

What does the phrase “took to It like a duck takes to water” mean in this sentence?

When the young woman started learning how to play the saxophone she “took to It like a duck takes to water”

A) she practiced often
B) she found It natural
C) she played for others
D) she improved gradually

Answers

The answer to this question would be B)She found it natural
Final answer:

The phrase means the young woman found it natural and quickly developed a liking for learning how to play the saxophone.

Explanation:

The phrase "took to it like a duck takes to water" means that the young woman found it natural and took a liking to learning how to play the saxophone effortlessly and quickly. It implies that she had a natural talent and aptitude for playing the instrument. This expression is often used to describe someone who picks up a new skill or activity easily and enthusiastically.

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Which equation could be used to find the length of the hypotenuse?

Answers

a^2+b^2=c^2. “c” represents the hypotenuse. “a” and “b” represent the legs of the triangle.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
A. being one of the legs
B. being another leg
C. being the hypotenuse

Ex:

[tex] {6}^{2} + {8}^{2} = {c}^{2} [/tex]
[tex]36+ 64= {c}^{2} [/tex]
[tex]100 = {c}^{2} [/tex]
[tex] \sqrt{100} = c[/tex]
[tex]10 = c[/tex]

jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches. How long should he make the shelf to fit in the middle?

Answers

Answer: The correct answer is 17 inches.

Answer:

17 inches

Step-by-step explanation:

Given that jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches.

To make the trapezium into two halves he can draw a middle line from the mid points of the two non parallel sides.

Since base I =22 inches and base II = 12 inches we get

the middle line would be the average of the two bases

(Recall mid point theorem on triangles extended to trapeziums)

Hence we have the length required

=[tex]\frac{1}{2} (22+12)\\\\=\frac{1}{2} (34)\\=17 inches[/tex]

solve 2x^3 - 3x^2 + 8x - 12 = 0 (this is complex zeros btw)

Answers

Move all Terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]x= \frac{3}2} , 2i , -2i[/tex]

Someone plz help me!!!

Answers

[tex]w(x)=|-x-3|\\\\q(x)=|x|+3\\\\h(x)=|x-3|\\\\f(x)=|x+3|-3[/tex]


Which of these is an example of a random sample?
A.
The manager of a baseball team asks his team members about their views on the previous game they played.
B.
For a survey on air travel, 100 people are chosen randomly from five different airports.
C.
Five players from a basketball team are chosen for a game.
D.
Three members of a band are chosen for a concert.

Answers

The answer is B. The other answer choices are incorrect because they include only a certain group of people so it wouldn't be as random.

Answer:

b

Step-by-step explanation:

the others are incorrect because they talk about group so its not random.

given the equation (x-a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Answers

Final answer:

To find the values of a and b, expand the given equation and compare it with the cubic equation. The values of a and b are 2 and -10, respectively.

Explanation:

To find the values of a and b, we can expand the given equation and compare it with the cubic equation x³ + bx²+ 12x - 72 = 0. Expanding and comparing the coefficients, we get:

a = 2

b = -10

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