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−6 3/4÷ 3 1/4

Enter your answer as a mixed number, in simplified form, in the box.

The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.

What is a sphere?

The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.

Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.

The radius of a sphere is the half of its diameter.

The radius of the bottom ball is 3/2 feet =1.5 feet

The radius of the middle ball is 2/2 feet = 1 feet.

The radius of the top ball is 1/2 feet = 0.5 feet.

The volume of a sphere is 4/3 × ∏r³.

The volume of  bottom ball is  4/3 × ∏ × (1.5)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (1)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (0.5)³  cubic foot.

The total amount of snow is

4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³

=  4/3 × ∏ [1.5³  +1³  + 0.5³ ]

=  4/3 × ∏× 4.5

= 18.84

≈ 19 cubic foot

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Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

These benchmark values are sometimes used when estimating a solution involving percentages.

Real-World Example

If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.

10% of 36, done mentally, is 3.6.

Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:

The errors she made are She did not find the correct vertex; it should be at (8, 5) and She used the wrong area formula; it should be A = one-half b h, the incorrect options are B and C.

Error is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =\(\sigma\)

Size of sample we're working on = n

Then, the standard error can be calculated as:

\(SE = \dfrac{\sigma}{\sqrt{n}}\)

where SE denotes the standard error.

Given;

On a coordinate plane, 2 line segments are formed by points (1, 5), (5, 2), (12, 2).

She begins by finding the missing vertex on the graph to be point (9, 5).

Now,

The parallelogram is a simple quadrilateral with two parallel pairs of sides; The opposite or reverse sides of the parallelogram are of similar duration and the reverse angles of the parallelogram are of equivalent proportion;

The square has two sets of parallel sides, four right angles, and the four sides are identical. It's even a triangle and a parallelogram;

The rhombus is known as a four-sided parallelogram;

Therefore, the error will be in B and C.

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Answer:

After Multiplying them.

we get 0 as an answer.

The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.

The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.

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Answer:

in explanation

Step-by-step explanation:

as the question told you, if there're 5 counselors, there's a maximum for students of 15. and for 15 counselors, there's a maximum for students of 45. we can easily see that every one counselor can only have 3 students. therefore, you should draw each dot with respect to the counselors' amount, but because two points determine one line, all you need to do is draw (5,15), (15,45) and line them from 0 to 50.

Sum of the interior angle of any triangle must equal to 180 degrees thus :

\(53 + 90 + t = 180\)

\(143 + t = 180\)

\(t = 37\)

Thus angle T has a measure of 37° .

Answer: 37

Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37

To answer your question, we need to determine the probability of spinning an even sum and the probability of spinning a sum greater than 15 using the two spinners. Let's assume both spinners have the same number of sections, n.

Step 1: Determine the total possible outcomes.
Since there are two spinners with n sections each, there are n * n = n^2 possible outcomes.

Step 2: Determine the favorable outcomes for an even sum.
An even sum can be obtained when both spins result in either even or odd numbers. Assuming there are e even numbers and o odd numbers on each spinner, the favorable outcomes are e * e + o * o.

Step 3: Calculate the probability of winning (even sum).
The probability of winning is the ratio of favorable outcomes to the total possible outcomes: (e * e + o * o) / n^2.

Step 4: Determine the favorable outcomes for a sum greater than 15.
We need to find the pairs of numbers that result in a sum greater than 15. Count the number of such pairs and denote it as P.

Step 5: Calculate the probability of spinning a sum greater than 15.
The probability of spinning a sum greater than 15 is the ratio of favorable outcomes (P) to the total possible outcomes: P / n^2.

To calculate numerical probabilities, specific details of the spinners are needed. We can use these steps to calculate the probabilities for your specific situation.

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Answer:

The value of 12^2 would be=144

Explanation:

According to the given data we have the following expression:

To calculate 12^2 we would have to make the following calculation:

12^2=12*12

Hence, if 12*12=144,

Therefore, the value of 12^2 would be=144

Answer:

Yes.

Step-by-step explanation:

6(64) = 6(50+14)

Using the Distributive Property, 6 needs to be multiplied by both 50 and 14.

6(50+14) = 6(50) + 6(14)

Thus, Jane is correct.

Answer: ok so obviously you’re using a graph.. the bottom number would be the amount of canned pumkin ( 4 ) and the top would be the loaves of bread ( 8 )

Step-by-step explanation:

If Slugger has gone to bat 3–6 times so far this season, he has had 24 hits so far this season.

Use the information given about Slugger's batting average. It is stated that he gets a hit 2 out of every 3 times he goes to bat. This means that his batting average is 0.666 or 66.6%.

Now, if we know that Slugger has gone to bat 36 times so far this season, we can use his batting average to calculate the number of hits he has had. To do this, we can use the following formula:

Number of hits = Batting average x Number of times at bat

Plugging in the numbers we have:

Number of hits = 0.666 x 36

Number of hits = 23.976

Since we can't have a partial hit, we need to round this number to the nearest whole number. Therefore, Slugger has had 24 hits so far this season.

It's important to note that Slugger's batting average is calculated based on the number of official at-bats he has. Official at-bats exclude walks, sacrifices, and other situations where Slugger doesn't actually take a swing at the ball. So, if Slugger had any non-official at-bats, we would need to exclude those from our calculation of his batting average and the number of hits he has had.

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Answer:

\(\displaystyle c = 8\)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \frac{3}{6} = \frac{4}{c}\)

Step 2: Solve for c

Answer:

c = 8

Step-by-step explanation:

\( \small \sf \frac{3}{6} = \frac{4}{c } \\ \)

c × 3 = 6 × 4

3c = 24

\(\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ \)

\(\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ \)

c = 8

Answer:

Step-by-step explanation:

1. (x+6)(x+6) expand the brackets to x²+6x+6x+36 then if you need to simplify add the 6x +6x= 12x

2. (x+8)(x-5) expand to x²-5x+8x-45 then if needed simplify by adding -5x + 8x=3x

3. (x-5)(x-2) expand the brackets to x²-2x-5x+10 if you need to simplify take the -5x + -2x=-7

Answer:

7

Step-by-step explanation:

substitute the numbers into the equation

2³-(-3)³/ 5

simplify and solve the cubed numbers

8 - (-27) / 5

35/5 = 7

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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(a) h'(4) = 2

(b) h'(4) = -14

(c) h'(4) = -26/25

(d) h'(4) = 26/11  Value of function h(x)

To find h'(4), we need to differentiate the given functions with respect to x and then evaluate them at x = 4.

(a) h(x) = 2f(x) + 5g(x)

To find h'(x), we differentiate each term separately using the sum rule:

h'(x) = 2f'(x) + 5g'(x)

Substituting x = 4:

h'(4) = 2f'(4) + 5g'(4)

       = 2(-4) + 5(2)

       = -8 + 10

       = 2

Therefore, h'(4) = 2.

(b) h(x) = f(x)g(x)

To find h'(x), we use the product rule:

h'(x) = f'(x)g(x) + f(x)g'(x)

Substituting x = 4:

h'(4) = f'(4)g(4) + f(4)g'(4)

       = (-4)(5) + (3)(2)

       = -20 + 6

       = -14

Therefore, h'(4) = -14.

(c) h(x) = f(x)/g(x)

To find h'(x), we use the quotient rule:

h'(x) = (f'(x)g(x) - f(x)g'(x)) / (g(x))^2

Substituting x = 4:

h'(4) = (f'(4)g(4) - f(4)g'(4)) / (g(4))^2

       = (-4)(5) - (3)(2) / (5)^2

       = -20 - 6 / 25

       = -26 / 25

Therefore, h'(4) = -26/25.

(d) h(x) = g(x)/f(x) + g(x)

To find h'(x), we use the sum and quotient rules:

h'(x) = (g'(x)f(x) - g(x)f'(x)) / (f(x))^2 + g'(x)

Substituting x = 4:

h'(4) = (g'(4)f(4) - g(4)f'(4)) / (f(4))^2 + g'(4)

       = (2)(3) - (5)(-4) / (3)^2 + 2

       = 6 + 20 / 9 + 2

       = 26 / 11

Therefore, h'(4) = 26/11.

To summarize:

(a) h'(4) = 2

(b) h'(4) = -14

(c) h'(4) = -26/25

(d) h'(4) = 26/11

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Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Positive integers such that is divisible by exactly distinct primes and is divisible by exactly distinct primes, and has fewer distinct prime factors than , then has at most distinct prime factors.

First, let's consider what it means for a number to be divisible by exactly distinct primes. This means that the number can be written as a product of those primes raised to some power.

For example, 24 is divisible by exactly 2 distinct primes (2 and 3), because 24 = 2^3 * 3^1. Now, let's use this understanding to solve the problem. We know that has fewer distinct prime factors than , which means that can be written as a product of fewer primes than can.

Let's say that has distinct prime factors, and has distinct prime factors. Since is divisible by exactly distinct primes, we can write it as a product of those primes raised to some power: =  

Similarly, we can write as:= Now, we can see that every factor of must be a product of some subset of the prime factors in . For example, if and , then the factors of are:

- (no primes)
- (only )
- (only )
- (both and )

Note that every factor of must be of this form, since any other product of primes would involve some prime that isn't a factor of. But we know that has fewer distinct prime factors than ,

which means that there are at most subsets of the prime factors in that can be used to form factors of . In other words, has at most distinct prime factors.

To see why this is true, suppose that there were distinct prime factors of that could be used to form factors of . Then there would be subsets of those prime factors that could be used to form factors of , and each of those subsets would correspond to a distinct factor of .

But since has fewer distinct prime factors than , there can be at most such subsets. Therefore, we've shown that if and are positive integers

such that is divisible by exactly distinct primes and is divisible by exactly distinct primes, and has fewer distinct prime factors than , then has at most distinct prime factors.

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Work Shown:

I'm assuming earlier above it mentions the triangles are similar.

If so, then,

LJ/RP = KJ/QP

28/42 = x/33

28*33 = 42*x

x = 28*33/42

x = 22

Therefore, the largest possible aggression score is 255.

This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

i. The largest binary integer that can be represented in an 8-bit unsigned integer is 11111111. Converting this binary number to decimal, we get 255. Therefore, the largest possible aggression score is 255.

ii. The problem that occurs if the initial aggression score is decreased by 2 is called an overflow. When the initial aggression score, which is already at its minimum value, is decreased by 2, it exceeds the maximum value that can be represented by an 8-bit unsigned integer. This results in the aggression score wrapping around to the maximum value, causing an unintended behavior.

iii. When the initial aggression score, which is represented as 00000001 in binary, is decreased by 2, we subtract 2 from it. In binary subtraction, 1 subtracted by 2 results in a borrow from the next bit, and the result is 11111111, which represents 255 in decimal. This is because an 8-bit unsigned integer has a range from 0 to 255, and subtracting 2 from the minimum value wraps around to the maximum value due to the overflow.

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Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Answer:

Sp = ₹250

Gain = ₹50

CP = SP - Gain

CP = ₹(250 - 50)

CP = ₹ 200

Gain = ₹50

Gain% = \(\frac{Gain}{CP}\) × 100

= \(\frac{50}{200}\) × 100

Gain% = 25%

Hope it will help you.

Answer:

7×5 4×5 777⁷7777777777×7

Answer:

it is called factors

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x =

Number of students in middle school = 40% of x =

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school =

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =

Answer:

Step-by-step explanation:

160% Was surveyed!

40% of 400

a. 195 households obtained news from television but not from newspapers or the Internet.

b. 270 households obtained news from newspapers but not from television or the Internet.

c. 934 households obtained news from television or newspapers.

d. 66 households did not acquire news from television, newspapers, or the Internet.

a. To find the number of households that obtained news from television but not from newspapers or the Internet, we need to subtract the number of households that obtained news from television and either newspapers or the Internet from the total number of households that obtained news from television.

724 (total households that obtained news from television) - 412 (households that obtained news from television and newspapers) - 185 (households that obtained news from television and the Internet) = 127 households that obtained news from television but not from newspapers or the Internet.

b. To find the number of households that obtained news from newspapers but not from television or the Internet, we need to subtract the number of households that obtained news from newspapers and either television or the Internet from the total number of households that obtained news from newspapers.

545 (total households that obtained news from newspapers) - 412 (households that obtained news from television and newspapers) = 133 households that obtained news from newspapers but not from television or the Internet.

c. To find the number of households that obtained news from television or newspapers, we need to add the number of households that obtained news from only television, only newspapers, and both television and newspapers.

724 (households that obtained news from television) + 545 (households that obtained news from newspapers) + 412 (households that obtained news from television and newspapers) = 1681 households that obtained news from television or newspapers.

d. To find the number of households that did not acquire news from television, newspapers, or the Internet, we need to subtract the number of households that obtained news from any of these sources from the total number of households surveyed.

1000 (total households surveyed) - 1681 (households that obtained news from television or newspapers) = 319 households that did not acquire news from television, newspapers, or the Internet.

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