A triangular pyramid has a height of 27 meters and a base with an area of 575 square meters. What is the volume of the pyramid?

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Your Answer..

V=10in³

Hope This Helps You

Input-output values that fit with this function rule: f(x)=2x−1 is (0,-1),(1,1),(2,3) and (3,5).

Given function:

f(x) = 2x - 1.

if x = 0

y = 2(0) - 1

= 0 - 1

= -1

(0,-1)

if x = 1

y = 2(1) - 1

= 2 - 1

= 1

(1,1)

if x = 2

y = 2(2) -1

= 4 - 1

= 3

(2,3).

if x = 3

y = 2*3 - 1

= 6 - 1

= 5

(3,5).

Therefore Input-output values that fit with this function rule: f(x)=2x−1 is (0,-1),(1,1),(2,3) and (3,5).

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The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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The math club president is correct. Adding three more trumpets to the section will not make the band "50 percent louder" as claimed by the band director. The sound intensity increases logarithmically with the number of trumpets, and the actual increase in decibels is much lower than 50 percent.

The sound-intensity function is given by D(I) = 10log(I/I₀), where I is the sound intensity and I₀ is the threshold of human hearing (10^(-12) watt per square meter). We are given that the sound intensity for six trumpets is 90 dB, and we need to determine the sound intensity for nine trumpets.

Using the sound-intensity function, we can set up the following equation to find the sound intensity for nine trumpets:

10log(I/10^(-12)) = 135

Simplifying the equation, we get:

log(I/10^(-12)) = 13.5

Taking the inverse logarithm of both sides, we have:

I/10^(-12) = 10^(13.5)

Simplifying further, we find:

I = (10^(13.5)) * 10^(-12)

I ≈ 3.16 * 10^2

Therefore, the sound intensity for nine trumpets is approximately 316 dB.

Now, let's calculate the percentage increase in sound intensity from six to nine trumpets:

Percentage increase = ((316 - 90) / 90) * 100

Percentage increase ≈ 251.1%

As we can see, the actual increase in sound intensity is around 251.1%, which is significantly lower than the claimed 50 percent increase. Thus, the math club president is correct in stating that the band will not be "50 percent louder" with the addition of three more trumpets.

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Answer:

-7.5

Step-by-step explanation:

Answer: E. All hemlock trees in the forest from which the 200 trees were selected

Step-by-step explanation:

When we generalize data, it needs to be about a sample that is as specific as possible so that the generalization has a better chance of holding true.

The best group of trees to generalize the data on is the trees in the forest where the hemlock trees were found. This is a specific population and has a higher chance of being right because the trees used in research could not have been the only ones suffering.

Answer:

Step-by-step explanation:

:)))))))))))))))))))))))

Therefore , the solution of the given problem of expressions comes out to be HCF of B and C, which we discovered earlier, is 2³ x 7.

It is preferable to use moving numbers that are expanding, decreasing, or blocking than to generate variable at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In contrast to arithmetic operations like additionally denial, synthesis, and combination, a truth assertion may include algorithms, elements, and notations. Both of the sentences can be evaluated and analyzed word-by-word.

Here,

The LCM is given to us as being 24355273 times another factor, which we'll name D.

Looking at the prime factorization of A and C,

we see that D must contain

=>  3⁵, 5¹, and 7ⁿ

The prime factorization of the LCM of A and C' can now be expressed in writing:

=>  LCM(A,C') = 24355273 * D = 24355273 * 2(p-3)*35*5*7(r-1)

=> 2p*35*5*5*7r*2*72.

Finally, we can express C's prime factors in writing:

=> C = 2⁵ x 5ⁿ x 7⁴

The HCF of B and C, which we discovered earlier, is 2³ x 7.

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Answer:

x = 8 is the answer

Step-by-step explanation:

2:4 = x : 16

x = 8

Answer: 8

Step-by-step explanation:

given:

2:4=x:16

2×16= 4x

32/4 = x

x=8

Answer: 151.8

Step-by-step explanation:
330/100 x 54 = 178.2

330- 178.2 = 151.8

The number if the number is even, less than -12 and the absolute value of the number is between 9 and 15 is 14

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Number is even

Number is less than -12

Number is between 9 and 15

Now,

If the number is even and less than -12, the only possibility within the given constraints is -14.

Since the absolute value of -14 is 14, which is between 9 and 15, it satisfies the additional condition that the absolute value of the number is between 9 and 15.

Therefore, by algebra the answer will be 14.

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The total cost of haircuts for Michael's three children, including tip, would be $207.00.

If Michael gave a 20% tip and the haircuts cost $57.50, the tip would be:

Tip = 0.20 * $57.50 = $11.50

The total cost of the haircuts, including the tip, is as follows:

Total cost = haircut cost + tip

The total cost is $57.50 + $11.50.

The total cost is $69.00.

Since Michael took his three children to get haircuts, the total cost for all three children, including tip, would be:

Total cost for three children = three times the total cost

Total cost for three children = three times $69.00

The total cost for three children is $207.00.

As a result, the total cost of haircuts for Michael's three children, including tip, would be $207.00.

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Answer:

i think you need to divide 135 with 3 and then multiply the answer two times you should get 90 cuz it 45 multiply 2

Step-by-step explanation:

hopefully i'm right

Answer:

your perimeter will be 40cm

The 4 sides of a square are the same length. Find the length of a side by taking the square root of the area.

Side = sqrt(100) = 10 cm

Perimeter = side length x 4

Perimeter = 10 x 4 = 40 cm

The best speed for your vehicle is most likely when you are driving at a rate of 35 mph.

Speed is the distance an object travels per unit of time. It is a scalar quantity, which means that it only has magnitude and no direction. The formula for speed is as follows:

Speed = distance/time

There are different types of speed.

In the given situation, the posted speed limit is 65 mph.

However, traffic is heavy, and vehicles are moving at 35 mph. Therefore, it is best to drive your vehicle at the same speed as the other vehicles on the road, which is 35 mph. This is the safest speed in this situation as it helps avoid accidents, saves fuel, and is the most comfortable for everyone on the road.

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As a result, 8.72% compound interest is required to double an investment in 8 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of 10 p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

For option A, the simple interest formula can be used:

Simple Interest = Principal x Rate x Time

After 7 years, Sipho will have:

Simple Interest = 7500 x 0.2025 x 7 = R10,147.50

So the total amount he will have after 7 years is:

Total Amount = Principal + Simple Interest = 7500 + 10147.50 = R17,647.50

For option B, the compound interest formula can be used:

\(A = P(1 + r/n)^{(nt)\)

\(A = 7500(1 + 0.15/1)^7 = R18,856.89\)

Where A is the total amount, P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

After 7 years, Sipho will have:

A = 7500(1 + 0.15/1)⁷ = R18,856.89

Therefore, option B is financially more rewarding.

To find the rate of compound interest that will double an investment in 8 years, we can use the formula:

\(A = P(1 + r/n)^{(nt)\)

where A is the final amount (double the initial investment), P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

We want to find r, so we can rearrange the formula to:

\(r = n[(A/P)^{(1/nt)} - 1]\)

Let's plug in the values we know:

P = 1 (the initial investment)

A = 2P = 2

t = 8

n = 1 (compounded annually)

\(r = 1[(2/1)^{(1/(1*8)}) - 1] = 0.0872 or 8.72%\)

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The answer is,

\(5 - \frac{4(2.5n - 2)}{5} \)

The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

7

Step-by-step explanation:

8-9-6

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

1296

Step-by-step explanation:

The most appropriate choice for fraction will be given by -

8 children are allowed to use social media.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Total number of children in class of Ms Bryant = 32

Fraction of students who use social media = \(\frac{1}{4}\)

Number of children who use social media = \(\frac{1}{4} \times 32\)

                                                                       = 8

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Answer:

the 3rd one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

Answer:12

Step-by-step explanation:

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

The equation for this is:

n(g) + 49 - 3

Step-by-step explanation:

The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:

n(g) + 49 - 3

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Answer:

49g -3

Step-by-step explanation:

3 less than the product of a number g and 49

Writing an algebraic expression

less than means it comes after

the product of a number g and 49

49g

3 less than

49g -3