It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?​

Answers

Answer 1

Answer:

120 cups of sugar

8 ounces of paint

Step-by-step explanation:

Given that :

To cover all sides of the rectangular prism with paint, that is the surface area.

The amount of sugar held by the prism is function of its volume.

Hence, doubling the dimension :

The surface area, in unit² is a obtained by

Initial paint required * 2^2

2 * 2² = 2 * 4 = 8 ounces of paint.

For sugar :

It has to do with volume, unit³

Initial * double³

15 * 2³

15 * (8) = 120 cups of sugar


Related Questions

QUESTION 6 PLS PLS PLS HELP ME

QUESTION 6 PLS PLS PLS HELP ME

Answers

Answer:

86

Step-by-step explanation:

(72+80+82+x)÷4=80

(234+x)÷4=80

234+x=80×4

x=320-234

x= 86

Hope this helps you:)

A triangle has a base of 3 and a height of 10.
What is it's area?

Answers

Answer:

15 square units

Step-by-step explanation:

Equation

Area of a triangle = 1/2 × base × height

Given values:

base = 3 unitsheight = 10 units

Substitute given values into the equation:

⇒ Area  = 1/2 × 3 × 10

              = 15 square units

Answer:

15

Step-by-step explanation:

area=1/2hb

=1/2×10×3

=15

pls brainliest

Find the 17th term of an arithmetic sequence whose first term is 12 and whose common difference is 6. Type answer as an integer (no decimals).

Answers

Answer:

Step-by-step explanation:

n17 = ?

n  = 17

d = 6

a1 =12

a17 = a1 +(n - 1)d

a17 = 12 + (17 - 1)*6

a17 = 12 + 16*6

a17 = 12 + 96

a17 = 108

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.


Two, real unequal roots

Two, real equal roots

No real roots

Answers

Answer:

two real, unequal  roots

Step-by-step explanation:

This is a quadratic equation.  The quadratic formula can be used to determine how many and what kind of roots may exist:  

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0.  In this case, a = 1, b = -2 and c  = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32  =  36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal  roots

what are the two possible reasons for observing an outcome in a sample that differs from what you would expect in the population?

Answers

The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

Learn more about "standard deviation

brainly.com/question/16555520

#SPJ4

Both Felipe and Enzo forgot to study for their science test. The probability of Felipe passing the test is 0.190.190, point, 19. The probability of Enzo passing the test is \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction. Which of these events is more likely? Choose 1 answer: Choose 1 answer: (Choice A) A Felipe passes the test. (Choice B) B Enzo passes the test. (Choice C) C Neither. Both events are equally likely.

Answers

The more likely event is (B) Enzo passes the test , the correct option is (B).

In the question ,

it is given that

the probability that Felipe will pass the test is 0.19

Converting 0.19 to percent , we get

0.19 = 0.19/100 = 19%

the probability that Enzo will pass the test is 1/4 ,

Converting 1/4 to percent , we get

1/4 = 1/4 * 100 = 100/4 =25%

hence , the probability of Felipe passing the test is 19% and the probability that Enzo passes the test is 25% ,

On comparing we see that 25% > 19% , which means Enzo has higher chance of passing the test than Felipe .

Therefore , the more likely event is (B) Enzo passes the test , the correct option is (B).

The given question is incomplete , the complete question is

Both Felipe and Enzo forgot to study for their science test. The probability of Felipe passing the test is .19 , the probability of Enzo passing the test is 1/4.

Which of these events is more likely?

(A) Felipe passes the test.

(B) Enzo passes the test.

(C) Neither. Both event are equally likely.

Learn more about Probability here

https://brainly.com/question/13915418

#SPJ1

In the summer reading program, a participant earns 50 stars for reading 10 books. The library tracks the number of stars(y, vertical axis) and books ( x, horizontal axis) on a graph. Which statements are correct.

A: Point(5,1) Represents the unit rate
B: Point(1,5) Represents the unit rate
C: Point(0,50) Represents the unit rate
D: Point(100,20) Represents reading 20 books
E: Point(20,100)Represents reading 20 books


Please help, I will give you the brainliest answer​

Answers

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

how many license plates consisting of three letters followed by three digits contain no letter or digit twice?

Answers

There are 11,232,000 license plates consisting of three letters followed by three digits with no letter or digit repeated.

We can solve this problem using permutation, as we need to find the number of arrangements of three letters followed by three digits with no repetition.

There are 26 letters in the alphabet, so we can choose the first letter in 26 ways. For the second letter, we can choose from the remaining 25 letters, as we cannot use the same letter twice. Similarly, we can choose the third letter in 24 ways.

For the first digit, we have 10 options (0 to 9). For the second digit, we can choose from the remaining 9 digits (we cannot use the same digit twice). Similarly, we can choose the third digit in 8 ways.

Using the multiplication principle, we can find the total number of possible license plates:

26 × 25 × 24 × 10 × 9 × 8 = 11,232,000

To learn more about permutation click on,

https://brainly.com/question/10992572

#SPJ4

Let f:R+ R be defined by f(x)= ax+b, x £ R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find the function f(x).​

Answers

Answer:

a=2 b=3

Step-by-step explanation:

all you'll gat in pic

Let f:R+ R be defined by f(x)= ax+b, x R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find
Let f:R+ R be defined by f(x)= ax+b, x R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find

4 + root 3 / 4 - root 3​

Answers

Answer:

\(\frac{19+8\sqrt{3} }{13}\)

Step-by-step explanation:

Given :

\(\frac{4+\sqrt{3} }{4-\sqrt{3} }\)

Multiply using the reciprocal :

\(\frac{4+\sqrt{3}(4+\sqrt{3}) }{4-\sqrt{3}(4+\sqrt{3}) }\)\(\frac{16+8\sqrt{3}+3 }{16-3}\)

Simplify numerator and denominator :

\(\frac{19+8\sqrt{3} }{13}\)

Line s represented by the following equation x+y=2

Answers

Answer:

Step-by-step explanation:

Line s represented by the following equation x+y=2

Which of the following is an advantage of a lossless compression algorithm over a lossy compression algorithm

Answers

A lossless compression algorithm preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

A lossless compression algorithm is a type of data compression algorithm that preserves all of the original data without any loss. This means that when the original data is uncompressed, it is exactly the same as when it was compressed. On the other hand, a lossy compression algorithm is a type of data compression algorithm that discards some of the original data in order to reduce the size of the file. This means that when the original data is uncompressed, it may not be exactly the same as when it was compressed.

The advantage of a lossless compression algorithm over a lossy compression algorithm is that it preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

Learn more about algorithm here

https://brainly.com/question/29289479

#SPJ4

++||+ +H
2-/-/-
2
2 -/-/-
What fraction is at point M?
2/1/2
OB. 22/
O c. 2/3/20
OD. 21/0
M
1|5
OA.
H
3

++||+ +H2-/-/-22 -/-/-What fraction is at point M?2/1/2OB. 22/O c. 2/3/20OD. 21/0M1|5OA.H3

Answers

The fraction that represents the point M is 2 3/10

Calculating the fraction that represents point M

From the question, we have the following parameters that can be used in our computation:

The number line

Such that

M is between 2 1/5 and 2 1/2

This means that

M is between 2.2 and 2.5

By the positiining of the points, we have

M = 2.2 + 0.1

Evaluate

M = 2.3

As a fraction, we have

M = 2 3/10

Hence, the fraction is 2 3/10

Read more about fraction a

https://brainly.com/question/17220365

#SPJ1

Fill in the Blank: a. The entire collection of objects being studied is called the ________________. b. A small subset from the set of all 2013 minivans is called a ________________. c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a ________________.

Answers

a. The entire collection of objects being studied is called the population.

b. A small subset from the set of all 2013 minivans is called a sample.

c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a variable.

a. Population: The population refers to the entire group or collection of objects, individuals, or units that are of interest in a study. It represents the complete set of items from which a sample is drawn. For example, if you are conducting a study on the heights of all adults in a particular country, the population would consist of every adult in that country.

b. Sample: A sample is a smaller subset or representative portion of the population. It is selected from the larger population with the intention of making inferences or generalizations about the population. Sampling is often done when studying an entire population is not feasible or practical. In the context of the example given, a sample of 2013 minivans could be randomly selected from the entire set of minivans produced in 2013.

c. Variable: A variable is a characteristic or attribute that can vary or take different values within a population or sample. In the given example of breakfast cereals, the amount of sugar is a variable. Variables can be quantitative, such as numerical measurements like weight or height, or qualitative, such as categories or labels like color or brand. In statistical analysis, variables are used to describe and analyze data, and they can be classified as independent variables (predictors) or dependent variables (outcomes).

To learn more about variable

https://brainly.com/question/28248724

#SPJ11

Graph the first six terms of a sequence where a_1=-10 and d=3.
Dont actually waste time graphing it, just give 6 points

Answers

Answer:

-10

-7

-4

-1

2

5

8

Step-by-step explanation:

an = a + (n - 1)d

what is i^22 if i^2 is -1

Answers

i^22 equals to -1 since i^2 is negative one

Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?

Answers

Answer:

let me think about this

Step-by-step explanation:

question i may help

This is a combination equation:

14C8 = 14!/8!(6!) = 3003

Answer: 3003

A bookshelf has space for exactly 11 books. You have 6 math books and 5 biology books. In how many ways can the books be arranged if (a) the books can be arranged in any order? (b) the mathematics books must be together and the biology books must be together? (c) the mathematics books must be together but the other books can be arranged in any order? (d) the math and biology books must alternate? (e) none of the biology books can be next to each other?

Answers

Here books can be arranged in: a) 39,916,800 ways b) 17,280 ways c) 86,400 ways d) 86,400 ways e) 30,240 ways

a) When the books can be arranged in any order, the total number of ways is given by 11!, which is the factorial of the number of books that is 39,916,800 ways. b) We have 2! ways to arrange the group and within the group, the math books can be arranged in 6! ways and the biology books can be arranged in 5! ways which is 17,280 ways.

c) The math books can be arranged in 6! ways, and the remaining books can be arranged in 5! ways that is 86,400 ways. d) If the math and biology books must alternate, we consider them as one group. Within this group, the math and biology books can be arranged in 6! ways that is 86,400 ways.

e) When none of the biology books can be next to each other, we consider the arrangements of the math books and the spaces between them. There are 7 spaces available for the biology books to be placed, and we use the permutation formula 7P5 to calculate the number of arrangements which can be 30,240 ways.

To learn more about arrangement of books click here:

brainly.com/question/17187437

#SPJ11


10.a) Which numbers less than 100 have exactly 3 factors (including 1 and the number itself)?

b) Which two numbers less than 100 have exactly 5 factors?

c) Which number less than 100 has exactly 7 factors?

Answers

Step-by-step explanation:

a)

any prime number has only 2 (1 and the number itself).

almost every even number has 1, 2, a factor of 2 and the number itself. so that did not work either.

following that line of thought, the only possible solutions are square numbers of prime numbers :

4, 9, 25, 49

they have only 1, its square root and the number itself as factors.

b)

in the same line of thinking it must be powers of 4 of prime numbers :

2⁴ = 16

with the factors 1, 2, 4, 8, 16

3⁴ = 81

with the factors 1, 3, 9, 27, 81

c)

and so, it must be a power of 6 of a prime number.

the only one possible is

2⁶ = 64

with the factors 1, 2, 4, 8, 16, 32, 64

John Brought 75 shares of HCC stock and 150 Shares
of BWB stock. Last year HCC paid a dividend of $285 per share
and Bwb paid a dividend of $2.0t per share. What was the total
dividend that John Received ?

Answers

You have to take $285.00 times 75 (total number of shares) plus 150 (2nd total number of shares) multiplied by $2.00 . Your total should come out to $21,375.00

5(x - 3) = - 4(x - 2) + 9x

Answers

5(x-3)= -4(x-2) + 9x >>>>>>> x= 23/18

Thom's restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom's meal? O $20 $54 O $65 0 $90​

Answers

Answer:

$54

Step-by-step explanation:

Answer:

B.)$54

Step-by-step explanation:

20%->0.20

45(0.20)=9

45+9=54

Find an explicit rule for the nth term of the sequence.

-3, -15, -75, -375, ...

Answers

Answer:

a(n) = -3*5^(n-1)

Step-by-step explanation:

Given sequence

-3, -15, -75, -375, ...

This is a GP with

The first term = -3Common ratio = 5

Formula for nth term is:

a(n) = -3*5^(n-1)

Okay so I have finals and I’m panicking- (picture above)

What can I do to pass?
(I know studying lol)

Okay so I have finals and Im panicking- (picture above)What can I do to pass?(I know studying lol)

Answers

Answer:

10th one

1,2,4,7,11,16,22,

Step-by-step explanation:

hey need a thanks

Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Answers

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

To know more about values visit :

https://brainly.com/question/30145972

#SPJ11

What is 4x - 3 = -2x + 9

Answers

Answer:

the answer is x=2

Step-by-step explanation:

4x+2x=9+3

6x=12

x=2

3√-120
….
Help me!Exam tomorrow!

Answers

Answer:

6\(\sqrt{30}\)i

Step-by-step explanation:

120 = 2x2x2x3x5  I can pull out a set of 's

3x2 = 6

6\(\sqrt{2x3x5}\)

6\(\sqrt{30}\)

\(\sqrt{-1}\) = i

The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)​

Answers

Answer:

$114.80

Step-by-step explanation:

108 increase 6.3% =

108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804

solve the exponential equation 16^(x+1)=1/32

Answers

Answer:

x = -9/4

Step-by-step explanation:

Focus on 16^(x+1)=1/32

Note that both 16 and 32 are powers of 2.  To remove exponentiation from this equation, take the log to the base 2 of both sides:

(x + 1)(4) = -5         (Note:  16 = 2^4 and 32 = 2^5)

Then x + 1 = -5/4, so that x must be -9/4

How do you calculate mean with examples?

Answers

The mean is the sum of all values divided by the number of values in a set.

The mean (or average) of a set of numbers is the sum of all the numbers divided by the total number of values. For example, if we have the numbers 1, 2, 3, 4 and 5, the mean would be (1 + 2 + 3 + 4 + 5) / 5 = 3. The mean is also known as the arithmetic mean or the average. The formula for calculating the mean is:

Mean = (Σx)/N

Where Σx is the sum of all values and N is the number of values. So, for our example with 1, 2, 3, 4 and 5, we could calculate the mean like this:

Mean = (1 + 2 + 3 + 4 + 5) / 5

 = 15 / 5

 = 3

The mean is the sum of all values divided by the number of values in a set.

Learn more about  mean here:

https://brainly.com/question/30094057

#SPJ4

Other Questions
Why do tropical cyclone eloise develop in late summer which of the following french winemaking regions has the largest number of grand cru vineyards?a. Alsaceb. Bordeauxc. Burgundyd. Rhone. Part 1 - Velocity Position versus Time (x vs t) graph for Object 1 x versust-Object 1 y 1.2754x+ 0.0187 x (m) Linear (x (m)) 0 Position versus Time (x vs t) graph for Object 2 x versus t-Object 2 4.5 y 0.7249x+ 0.0513 3.5 E 2.5 Linear (x (m) 1.5 0.5 Position versus Time (x vs t) graph for Both Objects x versust-Objects 1 and 2 10 1.2754x+0.018 0.7249x+0 x2 (m)." Linear (xl (m) Linear(2 (m) xd (m) Part 2-Acceleration Position versus Time (x vs t) graph for Object 3 x versus t-Object 3 45 35 E 25 x 20 15 10 x (m) 10 5 15 20 25 30 Position versus Time squared (x vs t2) graph for Object 3 x versus t2 -Object 3 45 y:0.0628x +0.3243 40 35 30 25 x 20 15 10 x(m) Linear ((m)) 0 t2 (s2) Analysis Part 1 1) What are the slopes for Object 1 and Object 2? The slope for object one is 1.2754 m/s. The slope for object two is 0.7249 m/s 2) What does the fact that the plots are linear tell us about the velocity of these objects? The fact that the plots are linear shows us that the velocity is constant. In the case of this graph the average velocity is the slope and it is positive and constant. 3) Which of the two objects was traveling faster? Explain your reasoning. Object 1 was traveling faster because it had a larger change in slope. The slope is change in position (x) over time. This shows that the numerator, which is x, is greater and therefore the object travels faster. You can also tell by looking at the graph and seeing that it is steeper. Read the excerpt from "Flowers for Algernon."He told me Algernon is so smart that every day he has to solve a test to get his food. Its a thing like a lock on a door that changes every time Algernon goes in to eat so he has to lern something new to get his food. That made me sad because if he couldnt lern he woud be hungry.I don't think its right to make you pass a test to eat. How woud Dr Nemur like it to have to pass a test every time he wants to eat.What conclusion can be drawn about Charlie based on this passage?A)Charlies sense of compassion grows as he becomes smarter.B)Charlies motivation to do well has decreased since the operation.C)Charlie is more at ease now that he understands how the tests work.D)Charlie now wants to help Algernon become as smart as he is.this is on edge 2020 i will give brainliest for correct answer Which number line models the sum of 1 + (-2) correctly? Which council was designed to streamline the processing of information regarding issues of national security?. The six contenets and seven continents models differ in What land did the u.s acquire after Spanish American war? B3Corbin wrote the following statement.If 2 lines are intersected by a transversal, then a pair of corresponding angles will have the same measure.Corbin's statement is flawed. Explain the flaw in Corbin's statement, then write the corrected statement.K 12 Which transactions are recorded in the accounting system? Why do you think American outlaws like Jesse James and Billy the Kid have so often been portrayed as heroes? Does anyone know this plzz help me im stuck Which statement about the interactions of the states under the Articles of Confederation is not true?A Large states dominated the actions of the national government.B The national government could not pass a law unless 9 of the 13 states agreed.C The national government could not require states to pay their share of the expenses of government.D Each state had one vote in Congress A retailer who sells backpacks estimates that y selling them for x dollars each, he will be able to sell 134 x backpacks a month. Evaluate the line integral x dy + (x - y)dx, where C is the circle x + y = 4 oriented clockwise using: a) Green's Theorem (3 b) With making NO use of Green's Theorem, rather directly by parametrization. 3x+4=20 solve the following question economists typically measure economic growth by tracking: group of answer choices the employment rate. A useful technique for estimating the shapes of many asteroids has beenA) measurement by many closely spaced observers of occultations of stars by asteroids.B) direct photography of the asteroid's shape from Earth.C) photography from spacecraft, such as Galileo.D) measurement of brightness variations caused by asteroid rotation. can you make me a topic sentence for Is going vegan good for your health? Alfredo's utility function is U(1) = 11/2. He currently has a job that pays $90,000. He has been offered a job that pays $170,000 but he knows that there is a 20% chance that he will be fired from the new job, in which case he will earn only a severance package of $10,000. In order to be hired for the new job, he has to acquire a license at a cost of $10,000. Will he take the new job? Why or why not?