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?
Answers
Answer:
5175cm³
Step-by-step explanation:
Volume =1/3 base area * height
1/3 *575*27
=5175cm³
Related Questions
The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Since it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study?
A. All hemlock trees in southern Vermont
B. All trees in southern Vermont
C. The 200 hemlock trees that were randomly selected
D. All hemlock trees in the U.S.
E. All hemlock trees in the forest from which the 200 trees were selected
Answers
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.
Passes through (-1, -7) and (1, 3)
Answers
Answer:
I believe the slope = 5Step-by-step explanation:
Decrease 330 km by 54%.
Answers
Answer: 151.8
Step-by-step explanation:
330/100 x 54 = 178.2
330- 178.2 = 151.8
X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answers
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
Who prepares the questions for grade 7 math worksheets?
Answers
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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Which functions is nonlinear
Answers
Answer:
the 3rd one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
15 . you are driving on a freeway with a posted speed limit of 65 mph. traffic is heavy and moving at 35 mph. the best speed for your vehicle is most likely:
Answers
The best speed for your vehicle is most likely when you are driving at a rate of 35 mph.
What is speed?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.
Instantaneous speed is the speed of an object at a given point in time. Average speed, on the other hand, is the total distance traveled divided by the total time elapsed. Constant speed is when the speed of an object remains the same over time.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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a = 3^5 x 5 x 7^3
b = 2^3 x 3 x 7^4
c = 2^p x 5^q x 7^r
Answers
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.
What exactly does an expression mean in reality?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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Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?
Answers
The area of a square is 100cm what is the perimeter?
Answers
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
I need help finding the answer to the 9 trumpets' sound intensity. I've tried 135 but it says it is not right but 90 for the 6 trumpets is.Use the given information to complete the problem. The trumpet section of the school band has 6 trumpets that can produce a sound with an intensity level of 90 decibels (dB). Three more trumpets will be added to the trumpet section for the next school term. The band director says that this will make the band " 50 percent louder." The math club president says the band will not be that loud. Who is correct, the band director or the math club president? Explain your answer using the sound-intensity function D(I)=10log( I 0
I
), in which I 0
is the threshold human hearing of 10 −12
watt per square meter. For 6 trumpets sound-intensity is 90 dB. For 9 trumpets sound-intensity is 135 dB. (Score: 0/1) Question 5.2 Who is correct? the math club president the band leader Attempt #1:1/1
Answers
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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3 less than the product of a number g and 49?
Answers
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
Michael took his three kids to get haircuts the haircuts cost $57. 50 he also gave the stylist a 20% tip what was the total cost including tip for Michael’s three kids to get haircuts
Answers
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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solve sinx = 2x-3 using false position method
Answers
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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A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
Answers
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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135cm into two pieces first piece is twice as big as the second price
Answers
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
There are 32 students in Ms. Bryant's class. 1/4 of those students use social media. How many students are allowed to use social media?
Answers
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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Which of the following is the solution to 3 | x-1 | > 12?
A. x≤-3 or x >5
B. x > -3 or x > 5
C. x < -3 and x > 5
D. X > 5
Answers
Answer:
7
Step-by-step explanation:
8-9-6
What would the number be if the number is even, less than -12 and the absolute value of the number is between 9 and 15
Answers
The number if the number is even, less than -12 and the absolute value of the number is between 9 and 15 is 14
What is Algebra?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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raise 6 to the 4th power, then find the difference of the result and p
Answers
Answer:
1296
Step-by-step explanation:
The number of students at the start of the week that had a late library book was 200 students. By the end of the week there were only 80 students with a late library book? Is it a increase or decrease in by what percentage? 
Answers
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?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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:))))))))))))))))))))
Answers
Answer:
Step-by-step explanation:
:)))))))))))))))))))))))
if 2:4=x:16 find the value of x
Answers
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
what is the siope of a line that passes through the points (2, 3) and (4.-12)?
Answers
Answer:
-7.5
Step-by-step explanation:
Mathematics Assignment 2.5 20 Sipho has a R7 500 that he wants to invest over 7 years. Two banking institutions offers him the following options. OPTION A 20.25% per annum simple interest OPTION B 15% per annum compound interest compounded annually. Determine which option would be financially more rewarding. At what rate of compound interest will the value of an investment double in 8 years?
Answers
As a result, 8.72% compound interest is required to double an investment in 8 years.
What, using an illustration, is simple interest?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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sat there are 200 cookies in a bag. 15% for which are wrapped. if 80% of the cookies are oatmeal, what is the smallest number of wrapped oatmeal cookies that could be in the bag
Answers
Answer:12
Step-by-step explanation:
what is the answer on this question
Answers
Your Answer..
V=10in³
Hope This Helps You
use the intermediate value theorem to show that the polynomial has a real zero between the given integers? f(x)= x^3-x-4; between 1 and 7.
Answers
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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(input-output values) that fit with this function rule: f(x)=2x−1
Answers
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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Simplify the following expression. 5 - ⅘(2.5n - 2)
Answers
The answer is,
\(5 - \frac{4(2.5n - 2)}{5} \)