The equation d=60t gives the distance d (in miles) a car travels after t hours. Identify the independent and dependent variables.

Answers

Answer 1
independent variable: hours (t)

dependent variable:  distance (h)
Answer 2

The required d is the dependent variable and t is the independent variable.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It typically contains one or more variables, which represent unknown values.

In the equation, d=60t, t is the independent variable and d is the dependent variable. The value of d depends on the value of t, which is the amount of time the car travels, and hence is the independent variable.

Thus, d is the dependent variable and t is the independent variable.

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Related Questions

the floors of houses in japan are traditionally covered by tatami. tatami are rectangle shaped straw mats that measure about 6 feet by 3 feet. if a room is 48 feet by 24 feet, how many tatami are needed to cover the floor

Answers

Oh yikes, this one hasn't been answered in 4 years..

Let's get the area of one tatami, then the one of the floor.
Tatami area: 6*3 = 18 sq. feet

Floor area: 48*24 = 1152 sq. feet

To know how many tatami are needed, we need to divide the floor area by the tatami area:

1152/18 = 64

You'd need 64 tatami to cover the floor

what is the volume of this container?

Answers

V = 3*3*4 - 1*3*2 = 36 - 6 = 30 ft³

look at the pictureeeeee

Answers

1.8k - 5 + 3.5 + 6.1k + k + 1.5 

add 1.8k , 6.1k , and k 
8.9k

add  -5 + 3.5 + 1.5
0

so the answer would be 8.9k

help ASAP, please
Four more than three times a number, is less than 30. Which of the following is not a solution?

A.6
B.12
c.8
D.7

Answers

i think it is 6 i hope i help please dont report bec i am sorry if ii get it wrong
 

Answer:

THE ANSWER IS B OR 12

Step-by-step explanation:

How many playlists can we make with 38 songs if we can repeat 5 songs in each playlist? Use the permutation or combination formula if applicable.

Answers

38(greater than or equal to)5x

Final answer:

The number of playlists that can be created with 38 songs allowing for the repetition of 5 songs is calculated using combinations with repetition, resulting in a total of 850,668 possible playlists.

Explanation:

The question relates to the number of different ways we can create playlists from 38 songs, with the possibility of repeating 5 songs in each playlist. To calculate the number of different playlists that can be made by repeating songs, we need to use combinations with repetition. This is a concept in combinatorics which allows for the selection of items with replacements.

We can represent the problem with a formula used for combinations with repetition: (n + r - 1) choose r, where n is the total number of options (in this case, 38 songs) and r is the number of choices to make (in this case, repeating 5 songs). The formula becomes (38 + 5 - 1) choose 5, which simplifies to 42 choose 5. Using the combination formula, we can compute the total number of possible playlists as follows:

C(42, 5) = 42! / (5!(42-5)!) = 42! / (5!37!) = 850,668

This number represents the total number of playlists we can create with 38 songs, allowing for the repetition of 5 songs on each playlist.

The area of a circle is 113.04 inches squared. What is the radius of the circle?
A. 36 inches
B. 18 inches
C. 12 inches
D. 6 inches

Answers

The answer to this is going to be 36. Hope this helps.

Answer

The Answer to your question in 6

Step-by-step explanation:

The formula to find the area is

r^2 * pi = area

we know that the area is 113.04 and pi = 3.14

so

x^2 * 3.14 = 113.04

divide both sides by 3.14

x^2 = 36

now for the final step we need to find the root of both sides

√x^2 = √36

x = 6

so the radius is 6.

Michael surveyed 40 of his friends to determine their favorite season. His data shows that 70% said summer, 10% said winter, 5% said fall, and the rest said spring. What circle graph best represents Michael's data?


Answers

The answer is D.) because 70% was summer which, of course, would be the biggest piece of the pie and would be more than Half of it.

Answer:

Correct answer is D the last on in the pic

PLEASE HELP NOWWWWWWWWWWW
A quadrilateral is graphed on the coordinate plane. One of its vertices is translated 5 units to the right. Which of the following options best represents the translation?
x + 5
x - 5
y + 5
y - 5

Answers

y-5 hope this helps

Answer:

The correct answer is: A

Step-by-step explanation:

x+5

I hope this helps!

Plz mark Brainliest I am trying to rank up!

Have a nice day!

I'll give brainliest to whoever shows there work to the answer. Plz answer quickly.
Which point best approximates the square root of 3?
A
B
C
D

Answers

The answer is B because the square root of 3 is 1.17
Hello there! When solved on a calculator, the square root of 3 is approx. 1.73. C and D are eliminated, because those points are farther on the number line, with C being at 2 and D being at 3. A is way too low, and it's not even close to 1, so A is out. The only point that works in this situation is B. Therefore, the answer is B.

A supermarket conducts a survey to find the approximate number of its customers who like apple juice. What is the population of the survey?

Answers

Final answer:

In a survey conducted by a supermarket to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. The population in a survey defines the group the research wants to gain information about and determine the applicability of the findings.

Explanation:

In the context of survey research, a population refers to the entire group about which information is wanted. In your scenario, where a supermarket is conducting a survey to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. It's important to identify the population in a survey because it helps determine the scope of the study and how broadly the findings can be applied.

For example, if you were a marketing manager for an electronics chain store wanting information about the ages of its customers, the population would also be all customers of the store. Similarly, if a radio station wants to know its listeners' preferences, the population would be all listeners of that station. The aim is to collect data that is representative of this population, be it through sampling or other data collection methods.

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The population of the supermarket survey is the entire customer base, including individuals with varying shopping frequencies, aimed at determining the approximate number of customers who like apple juice through representative insights from the diverse customer demographic.

The population of a survey refers to the entire group that the survey aims to represent or provide insights into. In this case, the supermarket is conducting a survey to find the approximate number of its customers who like apple juice. The population of the survey, therefore, is the entire customer base of the supermarket.

To determine the population, the supermarket would ideally want to include all its customers who may have preferences or opinions about apple juice. This could include individuals who have shopped at the supermarket recently or regularly. The population might also encompass a broader range, considering both frequent and occasional customers to ensure a more representative sample of the supermarket's clientele.

In summary, the population of the survey is the entire customer base of the supermarket, encompassing individuals who may have opinions or preferences regarding apple juice.

a2-20-3b= quick answer please using pemdas

Answers

Pretty sure the answer is -ab-20

find the value of A E B C and D please

Answers

Looks like you've got 3 lines that are all parallel with one transversal diagonally running down the middle. 
Since all of the other lines are parallel to one another, there are only two different angle combinations to be made by the transversal and one of the other lines, one of which being the given 60º angle. 
The other one is found by subtracting that from 180 since a straight angle measures 180º. 
180 - 60 = 120 
The smaller ones are always 60º, and the larger ones are always 120º. 
That means that a = 60, b = 60, and d = 60 
It also means that c = 120 and e = 120. 
Hope this helps!

Write the following as a whole number:

19 thousands + 46 hundreds + 32 tens + 57 ones

Answers

23,977 is the answer to this problem, since this is a number problem. 

A square has side lengths of 7 inches. Find the length of the square’s diagonal.

Answers

Since the side lengths of the square is seven inches, the legs of the triangle to find the diagonal will be 7 inches as well. Since we have the two legs to find the hypotenuse which is equal to the square’s diagonal, we can find the diagonal by squaring the two legs and adding them together, then finding the square root of the answer.
7•7=49
7•7=49
49+49= 98
Now let’s find the square root of 98. I usually go to the hundredths place since I know 98 doesn’t have a perfect square.
9.9•9.9= 98.01 (the hundredths place rounded to that)
So the length of the square’s diagonal is about 9.9 inches.

Final answer:

The length of the square's diagonal with side lengths of 7 inches is found using the Pythagorean theorem, leading to a diagonal of approximately 9.899 inches.

Explanation:

To find the length of the square's diagonal when the side lengths are 7 inches, we can use the Pythagorean theorem. The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse. You can think of this as half of the square divided along the diagonal. Each of these triangles has two legs that are each equal to the side of the square and a hypotenuse which is the diagonal we want to find.

The formula for the Pythagorean theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse. Since the legs are both 7 inches (the side length of the square), we have:

7² + 7² = c²
49 + 49 = c²
98 = c²

This simplifies to:

c = √98
c ≈ 9.899 inches (rounded to three decimal places)

Therefore, the diagonal of the square is approximately 9.899 inches long.

CeeCee recorded the number of necklaces for sale at 10 different locations and then arranged the numbers from smallest to largest. The numbers of necklaces for sale at the locations were 4, 4, 4, 5, 8, 9, 9, 9, 9, and 9. The mean number of necklaces for sale at the locations was 7.

What is the mean absolute deviation?


A. 0

B. 2

C. 2.2

D. 4.4

Answers

The answer is 2.2. that means it's c.

Hope this helped☺☺

Answer: 2.2

Step-by-step explanation: I am in the test

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:

(a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.
(b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
(c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Answers

Q1)
As shown in the diagram attached, the angle made between 4th street and king avenue if car is traveling from the west side is 75°. 
when the car is travelling from the east side and is supposed to take a turn towards north east lets call the angle it makes with the turn as x.
4th street is a straight road, therefore straight line 
 and sum of angles of a straight line is 180°.x and 75 are supplementary angles. 
Therefore x + 75° = 180°
x = 105°
therefore the angle it makes in the turn is 105°

Q2)
When the car is travelling south west and turns left towards 3rd street, the angle it makes is termed as y. when 2 parallel lines are cut by a transversal, x° and y° are corresponding angles. 
This means that the angle at which transversal cuts 3rd street and 4th street to the left are both equal. these are called corresponding angles.
this means that x = y
as derived in the previous question, x = 105°, 
hence, y = 105°.

Q3)
When the car is travelling north east and turns right onto 3rd street, lets name the angle it makes with the turn as z.
angles y and z are called vertically opposite angles. When 2 straight lines cut each other, the opposite angles formed are equal to each other.
Therefore y = z.
as derived in the previous question y = 105°. 
since y = z
hence, z = 105°


Answer:

the guy is right except number 2

Step-by-step explanation:

if the car turns left that means it went west and since 4th and 3rd street are parallel and King Ave. is a transparent then street 4 and 3 have the same angles. y is 75 and a vertical that means the car makes a 75 degrees angles .

sorry for the bad explanation

Sum of 1.08, 2.16, and .003

Answers

the answer is 3.243 for the sum of them 

How many triangles exist with the given angle measures? 32 degrees, 51 degrees, 97 degrees

A. Exactly one unique triangle exists with the given angle measures.
B. More than one unique triangle exists with the given angle measures.
C. No triangle exists with the given angle measures.
D. A triangle can be drawn with more than one acute angle.

Answers

Answer: The correct answer is B.

The first thing to check is the sum of the angles. 32 + 51 + 97 = 180. Therefore, the sides equal 180 and we can have a triangle because all triangles have exactly 180 degrees.

Second, the number of triangles with these measures is endless. Imagine taking the initial triangle and doubling the size. The angles don't change but the triangle does. We could keep doubling the size forever.

Answer:

B

Step-by-step explanation:

The area of the square is 81 square centimeters. Which of the following is closest to the circumference , in centimeters, of the circle inscribed in the square?
A. 14.13
B. 28.26
C. 63.59
D. 127.17

Answers

Answer: 28.26

Step-by-step explanation: I think it's 28.26, I tried

Answer:

Step-by-step explanation:

hi

how is adding and subtracting decimals similar to and different from adding and subtracting whole number

Answers

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit.

There isn't any real difference in adding and subtracting decimals from whole numbers but there is just a decimal point in front of the number to make it a decimal.

For example, 2 is a whole number but adding a .0 will make it 2,0 which makes it a decimal.

Three consecutive even integers add to −6. What are these integers?

Answers

Let's consider the smallest even integer = x.

then second even integer = (x + 2).

and third even integer = (x + 4).


So three consecutive even integers would be x, (x + 2), and (x + 4).

The sum of these numbers is -6. Its equation would be as follows :-

x + (x + 2) + (x + 4) = -6

3x + 6 = -6

3x = -6 - 6

3x = -12

x = -4


So first number = x = -4

second number = (x + 2) = -2

third number = (x + 4) = 0

Hence, three consecutive even integers are -4, -2, and 0

Answer:

-4, -2, and 0

Step-by-step explanation:

type the correct answer in the box.use numeral instead of words. if necessary, use / for the fraction bar.

Answers

It’s 63°, hope this helps!
For this question, all you have to do is solve the missing angle of the triangle ABD since it has two measurements already and the angle BCD is a reflection of the missing angle.

Since the total degrees of a triangle's angles should add up to 180°, let's add the given angles and then subtract that from 180.

83 + 34 = 117°

180 - 117 = 63°

So, the angle BCD is 63°.
Hope that helped!

Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p dollars, the revenue R in dollars is
R(p)= -4p^2+4000p

What unit price should be established for the dryer to maximize revenue?

What is the maximum revenue?

Answers

Answer: The maximum revenue is $1,000,000.

The function that is given is a quadratic equation and the graph would be an upside down parabola.  

Therefore, the maximum revenue would be at the vertex of the parabola.

To find the vertex, we can use the expression -b/2a to find the x-value.

It would be -4000/2(-4) = 500

Now, input 500 for p and you will get a revenue of 1,000,000.

Answer:

p=$500 is the unit price to get maximum revenue

Maximum revenue = $1,000,000

Step-by-step explanation:

the revenue R in dollars is:

[tex]R(p)= -4p^2+4000p[/tex]

To find out the unit price to get maximum revenue we find out the vertex

In the given quadratic equation a=-4 and b= 4000

Formula to find out the x coordinate of vertex is

[tex]x=\frac{-b}{2a}[/tex], plug in the values

[tex]x=\frac{-4000}{2(-4)}[/tex]

x=500

So p=$500 is the unit price to get maximum revenue

Now we find the maximum revenue . Plug in 500 for p in the given equation

[tex]R(p)= -4p^2+4000p[/tex]

[tex]R(500)= -4(500)^2+4000(500)[/tex]

R(500)=1000000

Maximum revenue = $1,000,000

The temperature is 9 degrees below zero

Answers

0-9=-9

Hope this helped☺☺

The mathematical expression for the temperature measured can be obtained as -9°.

What is a Measurement unit?

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

The given measure of the temperature is 9°.

Since, the convention to take measured figures with the values below zero is negative.

The given temperature can be written as -9°.

Hence, the given temperature can be written as -9°.

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A paleontologist uncovers a fossil of a saber-toothed cat in California. He analyzes the fossil and concludes that the specimen contain 15% of its original carbon-14. Carbon-14 has a half-life of 5730 years. Use carbon-14 dating to determine the age of the fossil.

Answers

Final answer:

Carbon-14 dating is used to determine the age of fossils by comparing the amount of carbon-14 in the specimen to the amount in the atmosphere. The half-life of carbon-14 is 5730 years, and by analyzing the percentage of carbon-14 remaining, the age of the fossil can be calculated.

Explanation:

Carbon-14 dating is used to determine the age of fossils. Carbon-14 (14C) is a radioisotope that is present in living organisms while they are alive, and it starts to decay after they die. The half-life of carbon-14 is 5730 years, which means that after this time period, half of the original carbon-14 will have decayed.

In the case of the saber-toothed cat fossil, the paleontologist analyzed the specimen and found that it contained 15% of its original carbon-14. By comparing this percentage to the amount of carbon-14 in the atmosphere, which is known, they can determine the age of the fossil.

Since carbon-14 dating is accurate up to about 50,000 years, this method is suitable for dating the fossil. The age of the fossil can be calculated by considering the amount of carbon-14 remaining and the known half-life of the isotope.

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 1 or a 5? Enter your answer as a fraction in simplest form, in the box.

Answers

i'm pretty sure that the answer is 1/6.
It's got to be 1/6. A number cube, or any cube at that has 6 sides

HELP ASAP PLEASE HELP ASAP PLEASE HELP ASAP

The rental car holds 25 gallons of gas and gets 18 miles per gallon. The trip to Yarrow City is 1350 miles. How many times will the car need to be filled up to make the trip?

A. 2
B. 3
C. 4
D. 5

Answers

Your answer would be B. 3
The answer to your question is 3

Community center has an L shaped swimming pool that is 10 feet deep. What is the volume of the pool

1200

1040

640

880

Answers

Answer:

B. 1,040 cubic feet

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

Answer:

I hope this helps

Step-by-step explanation:

The probability of reaching into a drawer without looking and selecting a black sock is 5/6. If there are a total of 24 socks in the drawer, how many socks in the draw are black? Please help me :c

Answers

Final answer:

The probability of selecting a black sock is 5/6 and there are 24 socks in total. By setting up and solving a simple equation, we find that there are 20 black socks in the drawer.

Explanation:

This question is about the concept of probability in mathematics. The probability of an event occurring is calculated by the number of desired outcomes divided by the total number of possible outcomes. In this case, we are given that the probability of reaching into a drawer without looking and magically pulling out a black sock is 5/6. With a total of 24 socks in the drawer, to figure out how many socks are black, we can set up a simple equation where x represents the number of black socks. Thus, x/24 = 5/6. Solving this equation, we get x = (5/6) * 24, which simplifies to x = 20. So, there are 20 black socks in the drawer. That's indeed a lot of black socks!

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The diameter of a small gear is 16cm. This is 2.5cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger gear?

Answers

The diametrr of the large gear is 13.5 cm

To find the diameter of the larger gear, we set up an equation based on the information that the smaller gear's diameter is 2.5cm more than a quarter of the larger gear's diameter. Solving this, the diameter of the larger gear is found to be 54cm.

The student has asked for the diameter of a larger gear when given that the diameter of a smaller gear is 16cm, which is 2.5cm more than one quarter of the larger gear's diameter. To find the diameter of the larger gear, we can set up an equation where d represents the diameter of the larger gear.

According to the question:
16cm =  1/4d + 2.5cm
To solve for the diameter d, we subtract 2.5cm from both sides and then multiply by 4:

16cm - 2.5cm =  1/4d13.5cm =  1/4d13.5cm times 4 = dd = 54cm

The diameter of the larger gear is therefore 54cm.

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