Write 58 1/2 in radical form
A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches. Which expression shows the area of the base of each pyramid?
A. 1/3x^2 in.2
B. 1/4x^2 in.2
C. x2 in.2
D. 1/2x^2 in.2
Also...
A solid right pyramid has a square base with an edge length of x cm and a heigt of y cm. Which expression represents the volume of the pyramid?
A. 1/3x2y cm3
B. 1/2xy2 cm3
C. 1/3xy cm3
D. 1/2x2y cm3
This is all the info I am given HELP
Answer: Th answer is A
The area of the base of each pyramid, if divided from a square base of entire length x inches and made of 8 pyramids, should be 1/8 x[tex]^[/tex] in.2, but among given options, B. 1/4 x[tex]^[/tex] in.2 is closest. The volume of a solid right pyramid with square base edge length x cm and height y cm is correctly given by A. 1/3 x[tex]^[/tex]y cm3.
Explanation:To find the area of the base of each pyramid in a soundproofing tile made of 8 identical solid right pyramids with square bases, we will calculate the area of the entire square base of the tile and then divide by the number of pyramids. If the length of the whole tile is x inches, the area of the whole base is x[tex]^[/tex] square inches. Since there are 8 pyramids, the area of the base of each pyramid is x^2 divided by 8, which simplifies to 1/8 x[tex]^[/tex] square inches. However, this option is not listed, suggesting there may have been an error in the question or choices provided. Regardless, among the given options, the closest would be B. 1/4 x[tex]^[/tex] in.2, considering the whole square is likely split into quarters for each pyramid.
For the volume of a solid right pyramid with a square base with an edge length of x cm and a height of y cm, the formula for the volume of the pyramid is 1/3 times the area of the base times the height. The area of the base, which is a square, is x[tex]^[/tex], so the volume is 1/3 x[tex]^[/tex]y cm3. Therefore, the correct answer is A. 1/3 x[tex]^[/tex]y cm3.
There are 514 children in all at both Peter’s and Nada’s schools. Nada’s school has 185 children. About how many children go to Peter’s school?
What is mSU?
A. 49
B. 77
C. 98
D. 161
Answer:
77 degrees (option B)
Step-by-step explanation:
A cone is inscribed in a regular square pyramid. If the pyramid has a base edge of 6" and a slant height of 9", find the volume of the cone. 12√2 18√2 27
The volume of the cone inscribed in the pyramid, calculated using the formula for the volume of a cone and the Pythagorean theorem, is 18√2π cubic inches.
Explanation:In this question, we're asked to find the volume of the cone inscribed in a regular square pyramid. The volume V of a cone can be calculated using the formula V = 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone. Since the cone is inscribed in the pyramid, its height and base radius would be the same as those of the pyramid.
However, the pyramid is a square pyramid with a base edge of 6 inches and a slant height of 9 inches. The height of the pyramid (and thus the cone) can be calculated using the Pythagorean theorem as √(9^2 - (6/2)^2), which is √(81 - 9) = √72 = 6√2.
The radius of the base of the cone is half of the base edge length of the pyramid, or 3 inches. So the volume of the cone is V = 1/3 * pi * 3^2 * 6√2 = 18√2π cubic inches.
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The standard form of an exponential growth or decay equation is
f(x) = a(b)^x
What do each of the variables in this equation (a,b,x) represent?
The exponential function, which means as you increase in x , y increases exponentially.
It is required to represent the variable.
What is Exponential functions?Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Given that:
The standard form of an exponential growth or decay equation is
f(x) = a(b)^x
This is an exponential function, which means as you increase x , y increases exponentially. The initial amount is given by the value a , which is easy to see (just let x=0 and you have y=a left). The growth factor is the value b .
If you restrict b such that 0<b<1 , the function will decay (represented below) and if b>1 , the function will grow.
Therefore, the exponential function, which means as you increase in x , y increases exponentially.
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What is the median of the following set of data?
78, 92, 98, 87, 86, 72, 92, 81, 86, 92
Answer:
86.5
Explanation:
If you list these numbers in order from least to greatest, you get 10 numbers. Since there are isn't a number in the middle, you have to find the value between 86 and 87 which gives you 86.5. Sorry for the late response and have a great day!
Andy is trying to determine the correlation between the number of math homework assignments he completes and his test score. Which is the BEST estimate for the correlation coefficient of the data? A) r = 1.5 B) r = 0.5 C) r = 0.96 D) r = −0.90
Answer:
Option C
Step-by-step explanation:
It is really obvious that whenever the number of homework assignments he completes increases, his knowledge in the subject increases. This will increase automatically his test score in Maths.
Thus we can expect a perfect linear association between number of assignments done and his test score.
The correlation coefficient which is a measure of linear association between two variables always lies between -1 and +1.
Hence Option a cannot be correct since the value is greater than 1.
b) r=0.5 gives a positive but not very strong association. This is wrong as there is a strong association between the two variables
c) r=0.96 seems to be a correct answer as the positive and near to 1 r value confirms the linear strong positive association between the two variables.
D) r =-0.90 is wrong since there cannot be a negative association.
So only option right is option C
What is the coefficient of x4y4 in the expansion of (x + y)8?
Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
[tex]1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...[/tex]
Answer:
70
Step-by-step explanation:
apex
Simplify algebraic fraction
Please help, Picture included.
Jason jumps from a plane at an altitude of 1000m. his parachute opens after 10 seconds. The graph shows the relationship between his altitude and time. How far does he fall in the first 40 seconds?
A) 400m
B) 500m
C) 600m
D) 700m
Jason falls 800m in the first 40 seconds.
To find how far Jason falls in the first 40 seconds, we need to look at the graph provided. The graph shows that for the first 10 seconds, his altitude decreases from 1000m to 200m. So, in the first 10 seconds, he falls 1000m - 200m = 800m. Then, from 10 seconds to 40 seconds, his altitude stays constant at 200m, so he does not fall any further. Therefore, Jason falls a total of 800m in the first 40 seconds.
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Suppose a population of 40 crickets doubles in size every month. the function gives the population after x months. how many crickets will there be after 3 years?
Answer:
2,880
Step-by-step explanation:
just trust me, it's that one
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. Jack makes a mosaic out of glass tiles. The mosaic covers a parallelogram-shaped piece of wood. The area of the wood piece is 456 in² and its base is 24 inches. What is the height of the wood piece?
Help I need this ASAP 99 points!!!
You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your third side can be?
@iGreen,
25 POINTS!
Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
A: (0, 2)
B: (1, 1)
C: (-3, 1)
D: (2, 0)
The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
To determine if an ordered pair is a possible solution to the equation y = 3x - 2, we need to check if the x and y values satisfy the equation when substituted into it.
Let's check each option:
A: (0, 2)
Substitute x = 0 and y = 2 into the equation:
2 = 3(0) - 2
2 = -2
This is not true, so (0, 2) is not a possible solution.
B: (1, 1)
Substitute x = 1 and y = 1 into the equation:
1 = 3(1) - 2
1 = 1
This is true, so (1, 1) is a possible solution.
C: (-3, 1)
Substitute x = -3 and y = 1 into the equation:
1 = 3(-3) - 2
1 = -11
This is not true, so (-3, 1) is not a possible solution.
D: (2, 0)
Substitute x = 2 and y = 0 into the equation:
0 = 3(2) - 2
0 = 4
This is not true, so (2, 0) is not a possible solution.
The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
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We are learning polynomials in algebra one. Can anyone help explain trinomials like- n^3 - 5n^2 - 50n
Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.
research human behavior
design and test machinery
develop scientific theories
interpret designs and documents
perform calculations and make predictions
maintain lab equipment to perform experiments
Answer:
design and test machinery develop scientific theories perform calculations and make predictions maintain lab equipment to perform experimentsStep-by-step explanation:
Although science is quite broad, it may involve all or almost all of the alternatives, I suppose you are referring to the exact sciences, as you also want to know which of these options are studied by mathematicians.
Science is a term popularly used to refer to the natural and formal sciences, which use rigorous scientific research methods and benchmarking. In science there are quantitative, mathematical or logical-formal proofs. The sciences are those that encompass a range of various areas of knowledge, some of which are mathematics, computation, statistics, physics, chemistry, engineering, aeronautics, as well as parts of biology, psychology and economics. Generally, these sciences are closely linked to calculations and numbers, which are present in almost all of these fields.
Based on this conceptualization, we can say that the tasks that are performed by individuals in the path of science and mathematics are: design and test machinery, develop scientific theories, perform calculations and make predictions and maintain lab equipment to perform experiments.
PLEASE HELP ASAP! TONS OF POINTS
Answer:
I would say it's B!
To be honest I got confused at a point but I think B is the correct answer.
Hope this helped
Roman stands across from a flag pole.
What is the distance from Roman's feet to the base of the flag pole?
Round only your final answer to the nearest tenth.
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The distance from Roman's feet to the base of the flag pole 13.2 m.
What is Trigonometry?It is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
Angle of elevation= 39.
Hypotenuse = 17 m
Using Trigonometry
cos 39 = adjacent side /hypotenuse
cos 39= base/17
0.777= base/17
base= 0.777*17
base= 13.21m
base= 13.2 m.(rounding off)
Hence, the distance from Roman's feet to the base of the flag pole 13.2 m.
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A new website was reviewed by 58 people. The creator of the website surveyed 8 of the reviewers at random. He asked them to rate the website on a scale from 1 to 10. Their ratings are below.
4, 7, 9, 5, 4, 9, 9, 5
Assuming that the sample was representative of all reviewers, what was the mean rating of the website for all reviewers?
A. 6.5
B. 6.25
C. 4.5
D. 6
I will give brainliest.
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)
Answer:
You are requested to kindly provide the equation of line to which our to be found line is perpendicular.
Step-by-step explanation:
Please help aassssaaaapppp
8.9 – 1.4x + (–6.5x) + 3.4
Answer:
12.3 – 7.9x
Step-by-step explanation:
the product of + and - is -
Therefore,
8.9 – 1.4x + (–6.5x) + 3.4
= 8.9 – 1.4x –6.5x + 3.4
collect like terms
= – 1.4x – 6.5x + 3.4 + 8.9
= –7.9x + 12.3
= 12.3 – 7.9x
Using satellite technology, the distance between two planes can be measured by keeping track of the angle between them and the distance of each plane to the tracking station. Assume plane 1 is 176.27 miles away d plane 2 is 222.34 miles away and the angle formed with the tracking station is 38.59. How far apart are the planes?
Please help ASAP!! 14 points
The number 1,054 is?
< 1,045
= 1,045
> 1,045
Or none of these is correct
What percent of 170 is 68?
393 is 60% of what number?
How do you find a scale factor?
Find x so that the slope of the roof is one third 1/3.
A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided. If 2,000 people participated in the survey, people were satisfied with the career guidance.
Answer:
See image
Step-by-step explanation:
Plato