Please help 32.7 – 24.98 =

Therefore, the longest length of pencil that John can hide in the pencil holder is approximately 127.32 cm (rounded to two decimal places).

Given that John has a 100 cm³ pencil holder, the longest length of pencil he can hide in the pencil holder can be found by using the formula for the volume of a cylinder which is given by: V = πr²h where r is the radius of the cylinder and h is the height of the cylinder.The volume of a cylinder can also be expressed as V = lwh where l is the length of the cylinder, w is the width of the cylinder and h is the height of the cylinder.

If we assume that the pencil is cylindrical in shape, then its volume can be given by V = πr²l where r is the radius of the pencil and l is the length of the pencil.Since the volume of the pencil holder is given to be 100 cm³, then we have:100 = πr²h (Equation 1)

Now, we need to find the value of l that can fit inside the pencil holder. We can use the formula for the volume of the pencil to do this as follows:

V = πr²lLet V = 100 cm³ and

r = 0.5 cm

(since the pencil holder is cylindrical in shape, we can assume that it has a radius of 0.5 cm)Then, we have:100 = π(0.5)²lSolving for l, we get:

l = 100 / (π(0.5)²)

l = 100 / (0.7854)l ≈ 127.32 cm

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Answer:

  see below

Step-by-step explanation:

The intersection of A and B is the list of elements that show up in both sets. Then the remaining elements of A and of B are those elements of the respective set that are not in the intersection.

The elements that are not in either A or B are listed at the lower left of the diagram (outside the circles).

There are 2 members of the 9-member set that are in the intersection of A and B. If some set member is chosen at random, the probability it is one of those is 2/9.

Answer:

z = 12

Step-by-step explanation:

I hope its helped brainlest pls if u can thank youu !

Answer:

Its B (4.69 * 10^8)

Step-by-step explanation:

if u add them all together thats what you get I typed it into a calculator

Answer:

21.6

Step-by-step explanation:

you divide 129.60 by 6 and you get 21.6.

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

Answer:

4

Step-by-step explanation: Its  4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer=14w^4-4

Step-by-step explanation:inverse operations and distributive property

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

3

Step-by-step explanation:

This is because its the opposite.

Jasmine would write 3.

Hope this helps!!

Answer:

c

Step-by-step explanation:

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

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Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

Answer:

The answer is C

Step-by-step explanation:

If you graph the points then it is clear that it is the answer because the point are directly across from each other horizontally.  

The probability that a ball is not red is 3/5 and the probability that the ball is red or white is 2/3 .

Mathematical descriptions of the likelihood that an event will happen or that a proposition is true are dealt with in the discipline of mathematics known as probability.

In the given question there are  6 red balls, 4 white balls, and 5 blue

balls.

Total number of balls = 6+4+5 = 15 balls (sample space)

Red balls = 6

Not red balls = 15 - 6 = 9

Probability that the ball is red = 9/15 = 3 /5

Red and white balls = 6 + 4 =10

Probability that the ball is red or white = 10 / 15 = 2 / 3

Hence the probability that a ball is red or white is 2 / 3.

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Disclaimer : The complete question is :

A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. Determine the probability that it is

(a) not red

(b) red or white

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Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

\(\boxed{x=4}\)

Hope this helps!! :)

Please let me know if you have any questions

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

If John is the divider then $5 is the consistent value with his share system.

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half :  50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

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The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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The linear model that best fits the data is: y = -13.5x + 113.6111

Using the points (1, 100) and (9, 0) to calculate the slope:

slope = (change in y)/(change in x) = (0-100)/(9-1) = -100/8 = -12.5

So the slope of the linear model for this data is -12.5.

The linear model that best fits the data is:

y = -13.5x + 113.6111

where y represents the number of plants infected and x represents the time in years.

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