The area of a triangular block is 25 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle? The base of the triangle is inches. The height of the triangle is inches.

12π inches is the circumference of the given circle with a diameter of 12 inches.

The circumference of a circle can be found using the formula C = π*d, where d is the diameter of the circle.

If the diameter of the circle is 12 inches, then the circumference is:

C = π* d

C = π * 12 inches

C = 12π inches

So, the circumference of the circle in terms of π is 12π inches.

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1560 g.

To convert 1.56 kg to g, we can use the conversion factor 1 kg = 1000 g:

1.56 kg = 1.56 x 1000 g = 1560 g

Therefore, the answer is 1560 g.

The volume of the composite figure is calculated as:

= 1,894.2 cm³

The volume of the composite figure can be calculated using:

Volume = volume of rectangular prism + 1/2(volume of cylinder)

Volume of rectangular prism = length * width * height

length = 15 cm

width =  2(6) = 12 cm

height = 10 cm

Volume of rectangular prism = 15 * 12 * 10 = 1,800 cm³

Volume of half Cylinder = 1/2(πr²h)

r = 6 cm

h = 10 cm

π = 3.14

Volume of half Cylinder = 1/2(πr²h) = 1/2 * 3.14 * 6 * 10 = 94.20 cm³

Volume of the composite figure = 1,800 + 94.20 = 1,894.2 cm³

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Answer:

A

Step-by-step explanation:

Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.

The theoretical probability of rolling a three-on-one number cube is 1/6, and the same is true for rolling a six. Since the two rolls are independent,

The probability of rolling a three and then a six in the sequence is the product of the probabilities: (1/6) x (1/6) = 1/36.

To find the expected number of times this sequence would occur in 180 experiments, we multiply the probability by the number of experiments: (1/36) x 180 = 5.

So, if Miriana had rolled the number of cubes according to the theoretical probability, we would have expected her to roll the sequence of 3 and then 6 five times in 180 experiments.

However, she actually rolled this sequence 7 times, so she rolled it 2 more times than the theoretical probability would have predicted.

Therefore, Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.

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It is fair to assume that the spinner will land on an odd number 160 times.

The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.

The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.

If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:

(1/2) x 320 = 160

Therefore, the probability that the spinner will fall on an odd number 160 times is fair.

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A reasonable prediction for the number of times the spinner will land on an odd number is 160.

We have,

Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.

Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.

Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.

Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.

Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.

Thus,

A reasonable prediction for the number of times the spinner will land on an odd number is 160.

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In mathematics, the expression "to the power of" pertains to the exponent, signifying how many times a key number is to be multiplied by itself.

Expressing this idea in English can be done well by using the term "to the power of." To show this, 2 raised to the third power can be interpreted as 2 multiplied by itself three times, resulting in 8.

Therefore, the possible reason behind using the word "power" is probably due to the fact that when the exponent rises, the outcome number is wide, either being greater or smaller, made on the base being above or below 1. This implies that the figure holds more significant value.

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Answer:

x=144

Step-by-step explanation:

since they are similar their sides have a common ratio

24/x=42/7

7x=42*24

7x=1008

x=144

The probability that ten hats given to ten people will consist of more blue caps than red caps is given as follows:

a. 0.2.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes in which there are more blue than red caps are those in which the number of zeros is greater than the number of ones, hence the number of desired outcomes is of:

2. (simulation number 7 and simulation number 10).

Hence the probability is of:

p = 2/10

p = 0.2.

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The value of the given algebraic expression is -2.

To find the value of the expression 2x³ - 2x² + 2x - 8 / 2x² - 5x when x = -2, we simply substitute -2 for every instance of x in the expression:

2(-2)³ - 2(-2)² + 2(-2) - 8 / 2(-2)² - 5(-2)

= 2(-8) - 2(4) - 4 - 8 / 8 + 10

= -16 - 8 - 4 - 8 / 18

= -36 / 18

= -2

Therefore, the value of the expression 2x³ - 2x² + 2x - 8 / 2x² - 5x when x = -2 is -2.

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The graph of the given inequalities is Attached below.

From the given inequalities:

As the first inequality is not strictly true, the graph of it is a straight solid line that passes through the points (0, 2) and (2/3, 0), with the shaded area being further from the origin ( as it fails the zero point test )

As the second inequality is not stringent, the graph of the inequality is a straight solid line that passes through the points (0,-4) and (8,0), with the shaded area pointing in the direction of the origin (since the inequality passes the zero point test)

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Complete question:

Which graph represents the system of inequalities?

y + 3x ≥ 2

y + 4 ≥ 1/2x

The area of the sidewalk is 264 sq. m.

A circle is a figure that is bounded by curved line called its circumference. Its area is the amount of space that he circle will cover on a 2 dimensional plane. It can be determined by:

area of a circle = πr^2

where r is the radius of the circle.

In the given question,

area of the circular flower = πr^2

   r = d/2 (d is the diameter)

      = 17/ 2

r = 8.5 m

area of the circular flower = 3.14*(8.5)^2

                                           = 226.865 sq. m

area of the circular flower with sidewalk = πr^2

d = 4 + 17 + 4 = 25 m

so that,

r = 25/ 2 = 12.5 m

area of the circular flower with sidewalk = 3.14*(12.5)^2

                                              = 490.625 sq. m

Area of the sidewalk = area of the circular flower with sidewalk - area of the circular flower

                                  = 490.625 - 226.865

                                  = 263.76 sq. m

The area of the sidewalk is 264 sq. m.

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A bag of daffodil bulbs costs $12 and a bag of windflower bulbs $8.

Let's use the letters "w" for the price of a bag of windflower bulbs and "d" for the price of a bag of daffodil bulbs.

We may construct the following system of equations based on the above information:

Perry's sales:

w + d = 20 (equation 1)

Darryl's sales:

7w + d = 68 (equation 2)

To solve for w and d, we can use the elimination method. Multiplying equation 1 by -1, we get:

-w - d = -20

Adding this to equation 2, we eliminate d and get:

6w = 48

Dividing both sides by 6, we get:

w = 8

Substituting this value of w into equation 1, we can solve for d:

8 + d = 20

d = 12

Therefore, a bag of windflower bulbs costs $8 and a bag of daffodil bulbs costs $12.

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Answer:

x = 5

y = 5√2

Step-by-step explanation:

In a 45-45-90 degree right triangle, the two legs form the right angle, and the hypotenuse is opposite the right angle.

The side lengths of a 45-45-90 right triangle are in the ratio

1 : 1 : √2

The legs are congruent, so if one leg has length 5, the other leg also has length 5.

The hypotenuse is √2 times the length of the legs.

x = 5

y = 5√2

The amount of your tax refund is $1,414

To find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.

Tax refund = Federal taxes paid - Federal taxes owed after deductions

Tax refund = $12,042 - $10,628

Tax refund = $1,414

Rounding to the nearest cent, the tax refund is $1,414.00.

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Answer:  Garnier's Opera House is a revival of the Baroque style.

Answer:

Rational

Step-by-step explanation:

Improper fractions are always rational.

Answer:  C

Step-by-step explanation:

Think about y=[tex]x^{3}[/tex]     This is an odd function because the highest exponent(degree) is odd

A.  is wrong. Symmetry is where you can fold it and it would be the same.  If i folded y=[tex]x^{3}[/tex] along the y- axis it would not be the same.  

B is wrong. Transformations are where has it moved, which has nothing to do with odd functions in general

C.  is correct.  It is folded along y=x and flipped.

D. is wrong.  If folded y=x it's in the same quadrant but it's not the same, its' reversed.

The value of the expression is $-56x² + 266x + 261

Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.

Algebraic expressions are also identified with arithmetic operations, such as;

From the information given, we have;

$49x^2+14x(19-7x)+(19-7x)^2

expand the bracket, we get;

49x² + 266x - 98x² + 361 - 7x²

Now, collect the like terms, we get;

49x² - 98x² - 7x² + 266x + 361

Add or subtract the values

$-56x² + 266x + 261

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Yes, there are cases where the value of x or a would cause a problem in this equation.

A value of 0 for a would cause a problem because division by zero is undefined.

Therefore, we cannot have a=0 in this equation.

Additionally, if a fraction is being used as a value for a, there could be potential problems with rounding errors or decimal approximations that could cause issues in solving for x accurately.

It is also possible that certain values of x may make the left-hand side of the equation undefined, such as if x = 0 and a = 6.

However, these cases may not necessarily be problematic, depending on the context of the problem and the solutions being sought.

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No, the relation is not a function.

Given the relation in the question:

x: -2, -4, -1, -4, 5, 3

y: 1, -3, 2, 8, 0, -1

A function is simply a relationship that maps one input to one output.

To determine whether the relation is a function, we need to check whether each x-value in the relation is associated with a unique y-value.

Looking at the x-values, we see that there are repeated values of -4, which means that there are multiple y-values ( -3 and 8 ) associated with x = -4.

The mapping of x to y is not well-defined for all values of x, since one value of x is associated with multiple values of y, hence, it is not a function.

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The four math sentences that have an answer of 2.4 are 1.2 + 1.2, 1.2 * 2, 3.6 - 1.2 and  4.8/2

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

An answer of 2.4

Using a different operation in each sentence., we have the following math sentences

1.2 + 1.2

1.2 * 2

3.6 - 1.2

4.8/2

The solution to each of the above sentences is 2.4

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Answer:

6x-50-7(3x+10)=0

Distribute the -7:

6x - 50 - 21x - 70 = 0

Combine like terms:

-15x - 120 = 0

Add 120 to both sides:

-15x = 120

Divide both sides by -15:

x = -8

The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.

So, we have:

f(2) = 2^4 + 3(2^2) + 2 = 24

f(2+h) = (2+h)^4 + 3(2+h)^2 + 2

= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2

= h^4 + 8h^3 + 24h^2 + 35h + 30

Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:

f'(2) ≈ (4f(2+h) - f(2)) / (3h)

Substituting in the values we have:

f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)

= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)

= (4h^3 + 32h^2 + 96h + 140) / 3

Now, we can substitute h=0.01 to get the value of the first derivative at x=2:

f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3

≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3

≈ (0.000004 + 0.0032 + 0.96 + 140) / 3

≈ 140.9632 / 3

≈ 33.8933

Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.

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The three adverbs in the sentence are:

hard (modifying the verb "raining")

clearly (modifying the verb "see")

almost (modifying the verb "crashed")

1) "Hard" is an adverb of manner that describes how the rain was falling. It indicates that the rain was falling with intensity or force, which made it difficult for the driver to see.

2) "Clearly" is an adverb of manner that describes how the driver was seeing. It indicates that the driver was having difficulty seeing due to the heavy rain, which was affecting their vision.

3) "Almost" is an adverb of degree that modifies the verb "crashed." It indicates that the driver came very close to crashing their shiny new car, but managed to avoid a collision at the last moment.

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answer 95 I think that is the answer do you know it it is hard

Answer:

Total cost = $132

Step-by-step explanation:

We can find the total cost using the formula

total cost = (item 1 quantity * cost) + (item 2 quantity * cost)

We essentially find the sum of the product of item quantity and cost for each item:

Thus, for 2 chairs costing $37/chair and 1 table costing $58/table, the total cost is:

Total cost = (2 * $37) + (1 * $58)

Total cost = $74 + $58

Total cost = $132

Step-by-step explanation:

Upper problem:

The transformation is a translation of 3 units down.

Lower problem:

The transformation is a translation of 2 units left and 5 units down.

The probability that a person will wait for more than 9 minutes is approximately 0.0912 or 9.12%. This means that out of 100 people, about 9 of them will wait for more than 9 minutes in the line.

We know that,

To solve this problem, we need to use the normal distribution and standardize the variable of interest. We know that the mean waiting time is 5 minutes and the standard deviation is 3 minutes, so we can write: Z = (X - μ) / σ

where X is the waiting time, μ is the mean waiting time (5 minutes), σ is the standard deviation (3 minutes), and Z is the standardized variable.

To find the probability that a person will wait for more than 9 minutes, we need to find the area under the normal curve to the right of 9. We can do this by standardizing 9 using the formula above: Z = (9 - 5) / 3 = 1.33 .

We can use a standard normal table or a calculator to find the probability that Z is greater than 1.33. Using a calculator, we find that this probability is approximately 0.0912.

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