A candy store sells chocolate for $7.70 per pound. The piece you want to buy weighs 0.11 pound. How much will it cost, to the nearest cent? (Neglect sales tax.)

Step-by-step explanation:

The answers are A, D and E

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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A(2,6)

1) Considering this rigid transformation, and applying that translation rule we have:

Pre-image Rule Image

A (x + 3, y - 4) A'(5,2)

2) So subtracting 3 units from the x-coordinate and adding 4 to the y-coordinates the image will be:

Pre-image Rule Image

A(2,6) (x + 3, y - 4) A'(5,2)

3) Hence, the coordinates of A is (2, 6)

Answer:

h

Step-by-step explanation:

i

Answer:

ok I will help you please wait for some time

Answer:

23

Step-by-step explanation:

Add the total number of hours in the given situation

ANSWER:

3/5 miles

STEP-BY-STEP EXPLANATION:

Given:

Area: 15/45 square miles

Width: 5/9 mile

We calculate the length as follows:

The length of the park is 3/5 miles

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

$70.31

Step-by-step explanation:

Hope this helps

Answer:

$117.19

Step-by-step explanation:

93.75 * .25 =23.4375

23.4375+93.75 = $117.1875

(rounded:$117.19)

The polynomial x³+5x²+2x-8 has the factors (C) (x + 4), (F) (x + 2), and (D) (x - 1) as its factors.

A number that entirely divides another number is known as a factor.

In other words, if multiplying two whole numbers results in a result, the two whole numbers we are multiplying are factors of the result since the result may be divided by them.

Factors are the numbers that can divide a number exactly.

Therefore, after division, there is none left over.

So, let's see if the polynomial has (x - 1) as a factor:

⇒ p(1) = (1)³ + 5(1)² + 2(1) - 8

⇒ p(1) = 1+ 5 + 2 - 8

⇒ p(1) = 0

Multiply the component g(x) = by the polynomial p(x) = x3 + 5x2 + 2x - 8. (x - 1).

⇒ (x³ + 5x² + 2x - 8) ÷ (x - 1)

⇒ x² + 6x + 8

By dividing the middle term, let's factorize the aforementioned polynomial to determine the value of x.

Determine what a, b, and c are worth.

A is the coefficient of x2 = 1, B is the coefficient of x = 6, and C is the constant term = –8 in the equation above.

Determine the factors that add up to b by multiplying a and c.

1 × (8) = 8

The two factors that add up to b are 4 and 2.

Make two terms out of bx.

x² + 4x + 2x + 8

Eliminate the common elements by grouping.

x + 4x + 2x + 8 = x(x + 4) + 2 (x + 4)

= (x + 2) (x + 4)

Therefore, the polynomial x³+5x²+2x-8 has the factors (C) (x+4), (F) (x+2), and (D) (x-1) as its factors.

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Complete question:

Select all of the factors of x3 + 5x2 + 2x - 8;

a. x + 5, b. x - 3, c. x + 4, d. x - 1, e. x + 3, f. x + 2

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

A Function is defined as the relation between the input and the output where one input can have only one output

When graphing functions, the x-axis denotes the inputs and the y-axis denotes the output of the function

Looking at the graph, we see that for one input (point on the x-axis) we have only one output (point on the y-axis)

Hence, we can say that this graph represents a function

Step-by-step explanation:

we are given a function and the inputs (x)

so we just need to substitute the values of inputs (x) to the function and simplify

our given function:

\( \displaystyle \: f(x) = \frac{x}{2} - 1\)

when x is -2 then

\( \displaystyle \: f( - 2) = \frac{ - 2}{2} - 1\)

simplify division:

\( \displaystyle \: f( - 2) = - 1 - 1\)

simplify subtraction:

\( \displaystyle \: f( - 2) = - 2\)

when x is 0 then

\( \displaystyle \: f(0) = \frac{0}{2} - 1\)

simplify division:

\( \displaystyle \: f(0) = 0 - 1\)

simplify substraction:

\( \displaystyle \: f(0) = - 1\)

when x is 4 then

\( \displaystyle \: f(4) = \frac{4}{2} - 1\)

simplify division:

\( \displaystyle \: f(4) = 2 - 1\)

simplify subtraction:

\( \displaystyle \: f(4) = 1\)

when x is 8 then

\( \displaystyle \: f(8) = \frac{8}{2} - 1\)

simplify division

\( \displaystyle \: f(8) = 4 - 1\)

simplify subtraction:

\( \displaystyle \: f(8) = 3\)

Answer:

this is your answer .just put value in equation

Step-by-step explanation:

2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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If the sample test exists 1079 then the value of the test statistics exists -7.88.

A statistical test's result, or test statistic, is a numerical value. It describes how distant the observed data is from the null hypothesis, which states that there is no link between the variables or distinction between the sample groups.

The test statistic indicates how dissimilar two or more groups are from the population mean as a whole or how different a linear slope is from the slope implied by the null hypothesis. Various statistical tests employ various test statistics.

Given:

Sample size, n = 1079

Probability of success, p = 0 . 86

The hypotheses are:

\(&H_0\) : p = 0.94

\(&H_a\) : p < 0.94

where:

\($\hat{p}\) = proportion of the sample

p = proportion of the population

n = sample size

The values of the variables exists:

\(&\hat{p}\) = 86 % = 0.86

p = 94 % = 0.94

n = 1074

Substitute the values into the formula and solve for the test statistics:

\($z &=\frac{0.86-0.94}{\sqrt{\frac{0.93(1-0.94)}{1079}}} \\\)

simplifying the above equation, we get

\($z=\frac{-0.08}{\sqrt{\frac{0.93(1-0.94)}{1079}}}$\)

z = -11.12457

Therefore, the value of the test statistics is -7.88.

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The percentage of the students who are absent when 81 of the 1350 students are absent is 6%.

Percentage in simple words can be defined as a part per hundred.

In other words, it is the ratio which can be defined as a fraction of 100. It  is usually denoted by the symbol %.

Percentage can also be said as dimensionless number as it does not have any dimensions.

Percentage of a number can be calculated by dividing the number with the whole part and then multiplying by 100.

Total number of students in the school = 1350

Number of students absent = 81

Here we have to calculate the percentage of 81 out of 1350.

Percentage of the students who are absent = \(\frac{81}{1350}\) × 100 = 6%

Hence 6% of the students are absent that day.

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Answer:

The total is 20 and the lateral surface is 1008 I think

By solving the given probability, on average, for every $1 ticket purchased, the player can expect to lose $0.25.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To find the expected value of a lottery ticket, we need to multiply the probability of winning by the amount won, and then subtract the cost of the ticket. Let's first calculate the probabilities of winning for each game.

In WinOne, there is only one combination of letter and digit that will result in a win, out of a total of 10 letters and 10 digits that can be picked. Therefore, the probability of winning is 1/100.

In PlayBall, there are also 10 digits that can be picked, but there are 20 letters. Therefore, the probability of winning is 1/200.

Now let's calculate the expected value for each game:

WinOne:

The probability of winning is 1/100, and the amount won is $150. Therefore, the expected value is:

(1/100) x $150 - $2 = -$0.50

This means that on average, for every $2 ticket purchased, the player can expect to lose $0.50.

PlayBall:

The probability of winning is 1/200, and the amount won is $280. Therefore, the expected value before the changes to the ticket price and prize is:

(1/200) x $280 - $2 = $0.40

This means that on average, for every $2 ticket purchased, the player can expect to win $0.40.

Now, let's consider the new PlayBall game with a $1 ticket price and $250 prize. The probability of winning remains the same at 1/200, but the amount won has changed. Therefore, the expected value is:

(1/200) x $250 - $1 = -$0.25

This means that on average, for every $1 ticket purchased, the player can expect to lose $0.25.

Therefore, on average, for every $1 ticket purchased, the player can expect to lose $0.25.

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Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

D

Step-by-step explanation:

sin  (  3pi / 4 )

 =  sin   (   pi   -   pi  /  4   )

 =  sin   (   pi / 4  )

 = 1/root(2)

  =  root(2) / 2

Answer:

x=-6

Step-by-step explanation:

1. Move the variable to the left-hand side and change its sign

3x-4-2x=-10

2. Collect like terms

x=-10+4

-10+4= -6

Answer:

The scientist should mix 75 ounces of water with 75 ounces of the 30% salt solution to obtain 150 ounces of a mixture that is 15% salt.

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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Answer:

16:12 or 16 to 12

Step-by-step explanation:

Answer:

16:12 or 16 to 12

The ratio of boys to girls is 16 to 12.

Check the picture below.

The answer of the above question is [0,30]

An absolute value inequality is one with an absolute value sign and a variable inside.

An important point to remember: | x |= {x if x ≥ 0 }

| x |= {x if x< 0}

taking the expression  |-2z+30| ≤ 30

Write the equivalent compound inequality.

-30≤ -2z+30 ≤ 30

= -30-30 ≤ -2z ≤ 30-30

= -60≤ -2z ≤ 0

= -60/2 ≤ -z  ≤ 0

= -30 ≤ -z  ≤ 0

Solve the compound inequality.

= 0 ≥ z ≥ 30 (reversing of signs)

Hence, the solution using interval notation  [0,30].The check is left to you.

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The smaller the sample size, the greater the uncertainty in our estimate.

From the options, 37.5% is obtained from the smallest sample size (8) and thus the percent is expected to be furthest away from this value.

Answer: 37.5%.

The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).

The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.

Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.

In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.

Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):

⇒ g(x) = 2 × 5(3)x = 10(3)x

Therefore, the required equation is g(x) = 10(3)x.

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