A sphere has a volume of 80cm*3
Calculate the radius of the sphere.
[The volume, V, of a sphere with radius r is V =4/3 x 22/7 x r*3]

Answer:

y=[tex]\left \{ {{11.57+4.59x where x\leq 10} \atop {11.57+9.55x where x>10}} \right.[/tex]

Step-by-step explanation:

Here it is given basic daily charge is 11.57 cents.

Now, the variable charge is 4.59 cents per kWh when consumption is less than or equal to 10 kWh.

So, first piece is using total cost = fixed cost + variable cost.

So, y= 11.57+4.59x when x [tex]\leq[/tex] 10

Now,  if the consumption goes more than 10 kWh, the unit rate is 9.55 cents per unit. The equation for total cost is y=11.57+9.55x where x>10

So

- x - y - z = - 8 ------- (1)

- 4x + 4y + 5z = 7 -------- (2)

2x + 2z = 4 --------- (3)

From (3): x + z = 2

                     x = 2 - z --------- (4)

Substitute (4) into (1),

- x - y - z = - 8

- (2-z) - y - z = - 8

- 2 + z - y - z = -8

- 2 - y = - 8

2 + y = 8

Therefore, y = 6

Substitute y = 6 and (4) into (2),

- 4x + 4y + 5z = 7

- 4(2 - z) + 4(6) + 5z = 7

- 8 + 4z + 24 + 5z = 7

9z + 16 = 7

9z = - 9

Therefore, z = - 9

Substitute z = - 9 into (4),

x = 2 - z

x = 2 - (-9)

x = 2 + 9

Therefore x = 11

Solution:

x = 11

y = 6

z = -9

Answer:

5 fluid ounces

Step-by-step explanation:

Answer:

Because depends on what you are going to work as you are most likely gonna use it

Step-by-step explanation:

Answer:  7/2

Step-by-step explanation:

[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}-\dfrac{4x^2+1}{4x^2-1}[/tex]

Multiply the left fraction by 2x+1 so both fractions have the same denominator.

[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}\bigg(\dfrac{2x+1}{2x+1}\bigg)-\dfrac{4x^2+1}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{12x^2+2x-4}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)(2x-1)}{(2x+1)(2x-1)}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)}{2x+1}[/tex]

Directly input x = 1/2        [tex]\dfrac{2[3(\frac{1}{2})+2]}{2(\frac{1}{2})+1}\quad =\dfrac{7}{2}[/tex]

Answer:

I don't really understand this one

But 32.99 is 65.98 when we multiply it by two I guess that's the answer

Answer:

  x = 5

Step-by-step explanation:

Maybe you have ...

  n(x) = 2x +7

and you want x for n(x) = 17.

  17 = 2x +7

  10 = 2x . . . . . . subtract 7

  5 = x . . . . . . . . divide by 2

True. the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure.

A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. Each trial in a binomial distribution has two possible outcomes, which are mutually exclusive and collectively exhaustive. These outcomes are typically classified as success or failure, yes or no, heads or tails, etc. Therefore, the statement that a binomial distribution categorizes outcomes into one of two mutually exclusive categories (a success or a failure) is true.

In more detail, a binomial distribution requires the following characteristics:

1. The experiment consists of a fixed number of trials, denoted by "n".

2. Each trial has only two possible outcomes, often referred to as success (S) and failure (F).

3. The probability of success, denoted by "p," remains constant across all trials.

4. The trials are independent of each other, meaning the outcome of one trial does not affect the outcome of any other trial.

By using these characteristics, the binomial distribution allows us to calculate the probabilities of different numbers of successes in the given number of trials. It provides a framework for understanding and predicting outcomes in situations where there are two mutually exclusive possibilities.

For example, consider flipping a fair coin 10 times and counting the number of heads (successes). In this case, the binomial distribution can help determine the probabilities of getting 0, 1, 2, 3, or more heads out of the 10 flips. The outcomes of heads and tails are mutually exclusive, and the probability of getting a head (success) or a tail (failure) is the same for each flip.

In summary, the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure. This distribution is widely used in various fields, including statistics, probability theory, and hypothesis testing, to analyze situations where there are only two possible outcomes for each trial.

Learn more about outcomes here

https://brainly.com/question/29118201

#SPJ11

Answer:

8

Step-by-step explanation:

yep that's the answer all you have to do is.

{x + 3y <=36

{x + 1.5y <=20

{x = y

y+3y<=36

4y<=36

y<=9

y+1.5y<=20

2.5y<=20

y<=8

min(8,9) = 8

x = 8, y = 8

Answer:

B . 48- 6 = 42.

b =42/6=7

this is your answer

Answer:

S = 5000

Step-by-step explanation:

10000/2 = 5000

★ (9x² - 8x - 3) + (2x + 8)

We have to simply it[tex].[/tex]

⭆ 9x² - 8x - 3 + 2x + 8

⭆ 9x² - 8x + 2x - 3 + 8

⭆ 9x² - 6x + 5

∴ (C) is the correct answer.

Answer:

This is a function

Step-by-step explanation:

As you can see, all of the x-coordinates are different which means it is a function

Answer:

mean

Step-by-step explanation:

mean .

mean is regarded as the average value calculated from a data set .

mean = total sum of values / total number of values.

Answer:

mean

Step-by-step explanation:

mean .

mean is regarded as the average value calculated from a data set .

mean = total sum of values / total number of values.

Step-by-step explanation:

Answer:

Ok:

Step-by-step explanation:

For a 45-45-90 triangle, the ratio between the sides are 1 – 1 – [tex]\sqrt{2}[/tex]. This can be proven by the pythagorean theorem. Therefore, if we let one of the sides by x, it means that x*[tex]\sqrt{2\\}[/tex] = 3 or x = [tex]\frac{3}{\sqrt{2} }[/tex].

The deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

To decipher the given statement using a St. Cyr slide, we need to determine the correct length of the slide. Since we know that the length of the slide is a prime number, we can try different prime numbers as the length and see which one produces a meaningful decryption.

Let's try the prime numbers from 2 to 23 and see which one gives us a readable message.

Using a St. Cyr slide with a length of 2:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

DRDVORDQRBKZRSXOHOBMSBOCRROEUXFYEDQ

Using a St. Cyr slide with a length of 3:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

CSDVNDRRQBIARSBXOHNLRACNQQBNTWEYDCQ

Using a St. Cyr slide with a length of 5:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

BSDLMBNNOZHRMVXLKMLQZBMNPPAMSVEXCBP

Using a St. Cyr slide with a length of 7:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

ARCKLAMMNYGQLUKWJLKPYALMOOZLRUDWBAO

Using a St. Cyr slide with a length of 11:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

ZQBZDZRRJWFZQSJTEJTLWZJRRCCJPTCVZAN

Using a St. Cyr slide with a length of 13:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

YPAYCYQQIVEYPRISEDSKIYIQQBHIOSBUYZM

Using a St. Cyr slide with a length of 17:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL

Using a St. Cyr slide with a length of 19:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

WNYWAWOOTHWCNPGRCBPFGWGOOZFGMQWWSWK

Using a St. Cyr slide with a length of 23:

ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR

VMXVZVNNSGVBMOFQBAOEVVNNYDPELVPVUVJ

Out of the attempted prime lengths, the decryption using a St. Cyr slide of length 17 produces a readable message: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

Therefore, the deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".

Learn more about  deciphered  from

https://brainly.com/question/30800045

#SPJ11

Answer:

the answer is -101

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  3x +2y = 4

Step-by-step explanation:

The standard form equation is easily found with a suitable graphing application. (See attached.) It is ...

  3x +2y = 4

__

Given two points, you can find the slope-intercept form of the equation using the two-point form of the equation for a line ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -2)/(2 -0)(x -0) +2

  y = -3/2x +2

Answer:

2. twice a number n subtracted from fifteen and four-tenths

Step-by-step explanation:

Answer:

[tex] \huge{ \fbox{ \sf{10}}}[/tex]

Step-by-step explanation:

Remember that The sum of the interior angles of a triangle is two right angles ( 90 + 90 ) or 180 . Create an equation:

[tex] \sf{ \: 8x + 60 + 40 = 180}[/tex]

In the question, we are asked to find the value of x.

Now , Add the numbers : 60 and 40

[tex] \longrightarrow \sf \: 8x + 100 = 180[/tex]

Move 100 to RHS ( Right Hand Side ) and change it's sign

[tex] \longrightarrow{ \sf{8x = 180 - 100}}[/tex]

Subtract 100 from 180

[tex] \longrightarrow{ \sf{8x = 80}}[/tex]

Divide both sides by 8

[tex] \longrightarrow{ \sf{ \frac{8x}{8} = \frac{80}{8} }}[/tex]

[tex] \longrightarrow{ \sf{x = 10}}[/tex]

The value of x is 10

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

At a price of $2, the quantity demanded is 20 units, while the quantity supplied is only 4 units. This indicates that the quantity demanded exceeds the quantity supplied, creating a situation of excess demand or a shortage of 16 units.

A surplus occurs when the quantity supplied exceeds the quantity demanded at a given price. In this case, the quantity supplied (4 units) is lower than the quantity demanded (20 units) at a price of $2, resulting in a surplus of 16 units.

To determine the occurrence of a surplus or shortage, we compare the quantity demanded and the quantity supplied at a given price. In this case, when the price is $2, the quantity demanded is 20 units, while the quantity supplied is 4 units.

Since the quantity demanded (20 units) exceeds the quantity supplied (4 units), there is a surplus of (20 - 4) 16 units. This means that at a price of $2, there will be an excess supply of 16 units in the market.

To know more about surplus and shortage in economics, refer here:

https://brainly.com/question/30430544#

#SPJ11

The marginal impact of X on Y at the sample average is approximately -984.54.

This means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units.

The marginal impact of X on Y can be obtained by taking the derivative of the regression equation with respect to X. In this case, the regression equation is Y = 874 - 76.6*X - 7.37*X2. Taking the derivative with respect to X, we get -76.6 - 2*7.37*X.

To find the marginal impact of X on Y at the sample average, we need to substitute the average value of X, which is 61, into the derivative expression. Plugging in X = 61, we have -76.6 - 2*7.37*61.

Calculating this expression, we get:

-76.6 - 2*7.37*61 = -76.6 - 907.94 = -984.54.

Therefore, the marginal impact of X on Y at the sample average is approximately -984.54.

In interpretation, this means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units. This indicates a negative relationship between X and Y in the regression model. However, it's important to note that this interpretation assumes that the regression model is appropriate for the data and that all relevant assumptions are met.

Learn more about Marginal Impact here:

brainly.com/question/31822006

#SPJ11

The expression (-5√2 + 3√√3) (-6√2 - 2√3) can be expanded and simplified.

To expand and simplify the given expression, we will use the distributive property to multiply each term in the first set of parentheses by each term in the second set of parentheses.

(-5√2 + 3√√3) (-6√2 - 2√3) expands to (-5√2 x-6√2) + (-5√2 x -2√3) + (3√√3 x -6√2) + (3√√3 * -2√3).

Simplifying each term individually, we have:

(-5√2 x -6√2) = 30 * 2 = 60,

(-5√2 x -2√3) = 10√6,

(3√√3 x-6√2) = -18√6,

(3√√3 x -2√3) = -6 * 3 = -18.

Putting it all together, the simplified expression is 60 + 10√6 - 18√6 - 18, which can be further simplified as 42 - 8√6. Thus, the expanded and simplified form of (-5√2 + 3√√3) (-6√2 - 2√3) is 42 - 8√6.

Learn more about expression here:

https://brainly.com/question/28170201

#SPJ11

Answer:

14.571 time she gets her car washed

Step-by-step explanation:

Answer:

Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Step-by-step explanation:

To find out how many cans of tomato sauce Adele used for the first batch of calzones, we can multiply the total number of cans of tomato sauce by the fraction used for the first batch.

The fraction used for the first batch is 5/12, so we can write:

(5/12) x 61

Simplifying the expression, we get:

(5 x 61) / 12 = 305/12

So Adele used approximately 25.42 cans of tomato sauce for the first batch of calzones.

To write this as a mixed number, we can divide the numerator by the denominator:

305 ÷ 12 = 25 with a remainder of 5

So the mixed number is:

25 5/12

Therefore, Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Answer: v = 9

Step-by-step explanation: Hi there!

First, add 9v on each side to get

v=9.

Answer:

v=9

Step-by-step explanation:

 −8v=9−9v

−8v=9+−9v

−8v=−9v+9

−8v+9v=−9v+9+9v

v=9

The Perimeter of the new rectangle is 66 inches.

The perimeter of a rectangle is equal to two times the length plus two times the width of the rectangle.

Here, Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.

Therefore, we can use this information to find the width of the rectangle by using the formula for the perimeter:2(L + W) = P50 = 2(17 + W)25 = 17 + W8 = W

So the width of the original rectangle is 8 inches.

Najib cuts out another rectangle that is the same length (17 inches) and twice as wide.

This means that the new width of the rectangle is 2 x 8 = 16 inches.

Using the formula for the perimeter again, we can find the perimeter of the new rectangle:P = 2(L + W)P = 2(17 + 16)P = 66

Therefore, the perimeter of the new rectangle is 66 inches.

For more questions on Perimeter .

https://brainly.com/question/397857

#SPJ8

a) The number of permutations of the letters in TRISKAIDEKAPHOBIA is: 168,038,400. b) The number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is: 1.142 x 10^26. c) The number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is: 1.196 x 10^64.

Permutations of letters in words:

(a) The word TRISKAIDEKAPHOBIA has 16 letters.

The letters "I" and "A" are repeated three times, while the letter "O" is repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in TRISKAIDEKAPHOBIA is:

16! / (3! * 3! * 2!) = 168,038,400.

(b) The word FLOCCINAUCINIHILIPILIFICATION has 29 letters.

The letters "I" are repeated six times, while the letters "L" and "N" are repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is:

29! / (6! * 2! * 2!) = 1.142 x 10^26.

(c) The word PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS has 45 letters.

Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is:

45! = 1.196 x 10^64.

(d) The word DERMATOGLYPHICS has 14 letters. Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in DERMATOGLYPHICS is:

14! = 87,178,291,200.

Learn more about permutation here:

https://brainly.com/question/29990226

#SPJ11