While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
Volume of the orange pyramid
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
A is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
Volume of the green pyramidVoume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
Height of the green pyramidV = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
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Describe the graph of the function.
y =Square root of
x-1 + 4
Answer: The answer is D. the last option
Step-by-step explanation:
The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.
The original function is y = √(x - 1) + 4, which represents a radical function.
This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.
By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.
By shifting the function up 4 units, we are adding 4 to the output of the square root function.
This means that the graph will be shifted vertically by 4 units compared to the standard square root function.
Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.
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Find the total surface area
Answer:
585
Step-by-step explanation:
Explanation in picture below.
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
I would choose "Elimination" method.
Explanation:Elimination is the easiest method to solve an equation. Because in this method first we have to find the value of "y" by eliminating "x". And at last,the value of "y" which we have got by elimimating,we need put to any equation as we desire. And finally the equation will be solved.
Hope it helpsplease help me answer this question
Answer:
Step-by-step explanation:
Sarah has an unorganized sock drawer. There are 24 loose socks in her drawer. If there are 10 black socks, 3 green socks , 8 white socks, 2 blue socks and 1 red sock sock, what is the probability of pulling out 2 socks in a row that are both black?
Answer:
0 because there is no black socks.
Step-by-step explanation:
Answer:
0 because there are already some in one drawer
what is the end behavior? can’t figure out the answer
Answer: when you stop acting
Step-by-step explanation:
A water faucet leaked 2 and 3/5 liters of water every 2/4 of an hour. It leaked at a rate of how many liters per hour?
let's firstly convert the mixed fraction to improper fraction and then proceed.
[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]
Identify the asymptotes of the graph.
x = 2, y = 2
x = –2, y = 2
x = 2, y = –2
x = –2, y = –2
Answer:
A) x = 2, y = 2
Step-by-step explanation:
An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.
The horizontal asymptote is y = 2 (blue dashed line)
The vertical asymptote is x = 2 (red dashed line)
Therefore, the asymptotes are: x = 2, y = 2
What type of number is √25? Whole number , integer , rational or irrational . SELECT ALL THAT APPLY
Answer:
A, B, and C.
Step-by-step explanation:
The square root of 25 is 5. 5 is rational, a whole number, and an integer.
Please answer the first question
Answer:
12 inStep-by-step explanation:
The volume fomula of cylinder
V = πr²hGiven
d = 9 in, V = 763 inSubstitute the values into formula, considering d = 2r, solve for h
763 = 3.14(9/2)²h763 = 63.585hh = 763/63.585h = 11.999 ≈ 12The height is approximately 12 inches
Answer:
12 inches
Step-by-step explanation:
The vase can be modeled as a cylinder.
Volume of cylinder
[tex]\sf V= \pi r^2 h[/tex]
where:
r is the radiush is the heightGiven:
V = 763 in³Diameter = 9 inSubstitute the given values into the formula and solve for h:
[tex]\begin{aligned}\sf V & = \sf \pi r^2 h\\\\\implies \sf 763 & = \sf \pi (4.5)^2 h\\\\\sf h & = \sf \dfrac{763}{\pi (4.5)^2}\\\\\sf h & = \sf 11.99360213...\end{aligned}[/tex]
Therefore, the height of the vase is 12 inches (to the nearest inch).
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can someone help me with this problem please and give examples im clueless on this one
5In t + 6In s to make a single logarithm
Answer:
ln t^5s^6.
Step-by-step explanation:
5In t + 6In s
= ln t^5 + ln s^6
= ln (t^5*s^6)
= ln t^5s^6.
A bus company is replacing all the old seats in its buses with new ones. The company owns 15 buses and each bus has 22 seats. It costs $91.20 to purchase each new seat, as well as an additional $26.50 to install each new seat. What is the total cost the company will pay?
Answer:
30112.50. 15x22x91.20+26.50
Joey recorded his heart rate in beats per minute (bpm) after doing different numbers of jumping jacks His results are shown in the table below
The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
Linear regression equation and correlation coefficienta. Linear regression equation:
We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then click on stats so as to perform a linear regression.
Given table:
(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)
Hence:
a = 1.72
b = 69.4
Equation
y = ax + b
y = 1.72x + 69.4
b. Correlation coefficient :
Correlation coefficient = 0.967
Correlation coefficient=0.97 (nearest hundredth)
Analysis:
The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.
Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
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adult tickets to the game are sold for $7 and student tickets are sold for $5. what combination of tickets must be sold to have total sales of at least $5000?
The combination of tickets that must be sold to have total sales of at least $5000 is 7x + 5y ≥ 5000
How to construct inequality?
The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,
let
x = number of adult ticket sold
y = number of students ticket sold
Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:
7x + 5y ≥ 5000
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There are 750 toothpicks in a regular-size box. A jumbo-size box is made by doubling the length, width, and height of the regular box. How many toothpicks will the jumbo box hold?
2250 toothpicks
1500 toothpicks
3000 toothpicks
6000 toothpicks
Answer:
The last option: 6,000 toothpicks.
Step-by-step explanation:
The formula I used: (2L) (2W) (2H)
If a jumbo sized box is made by doubling the length, width, and height then each measurment will be doubled so length x2, width x2, height x2 so therefore those added up would be 8. Then just do 8 times the volume. 8 x 750 = 6,000.
i will give you brainliest i swear
Answer:
step 1: 45:82, unsimplified
step 2: 67:90, unsimplified
Step 3: 1:10 simplified
Step-by-step explanation: Using the property of retrostatistical Ratios, we understand that the answers above are correct.
2. Given: A drug for the relief of asthma can be purchased
from 5 different Manufactures in liquid, tablet, or capsule
form, all of which come in regular or extra strength.
Required: In how many ways can a nurse administer the
drug for a patient suffering for asthma?
Answer:
5*3*2=30ways
Step-by-step explanation:
Since we have 5 different manufacturers who manufactures the drug in 3 different forms and 2 type of strengths, then;
Number of ways in which a nurse can administer the drug for a patient
are; Ways=5*3*2=30ways
Simplify the algebraic expression -30y+(-15y)+70
Answer:
[tex]-45y + 70[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]-30y + (-15y) + 70[/tex]
[tex]-30y - 15y + 70[/tex]
[tex]-45y + 70[/tex]
Answer: [tex]-45y + 70[/tex]
-30y+(-15y)+70 is the same as
-30y-15y+70
Combine like terms-45y+70
That's the ans.hope helpful ~
Find the total surface area
It takes Hugh 27 minutes to make of a basket. Enter the time, in hours, it would take Hugh to make 12 baskets.
Which graph is the graph of f( x)=x-1/x+2
Answer:
its a
Step-by-step explanation:
got it right on the test.
Heyo!
RummySokka is here to help!
Here's a picture, that may help you!!
Hopefully, this helps you!!
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The function f(x)f(x) is graphed below. What is true about the graph on the interval from x=-\inftyx=−∞ to x=ax=a?
Answer:
If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.
From x = -∞ to x = a , function is positive and decreasing.
Here, a graph is attached in the question.
We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.
If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.
In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.
Step-by-step explanation:
The best basketball player on a college team kept track of the number of baskets she made in her last eight games.
11 15 19 12 11 16 11 17
Calculate the mean, median, range, and midrange of the number of baskets she made in her last eight games.
The set is 11, 15, 19, 12, 11, 16, 11, 17
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
What is a mean?
It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
The set:
11 15 19 12 11 16 11 17
The sum of the set:
= 11 + 15 + 19 + 12 +11 +16 + 11 + 17
= 112
Mean:
= 112 / 8
= 14
Median:
Arrange the set in ascending order.
11, 11, 11, 12, 15, 16, 17, 19
The Median is the mid-value of the set.
Median = (12 + 15) / 2 = 27/2 = 13.5
Range:
Highest value in the set = 19
Lowest value in the set = 11
Range = Highest value - Lowest value
= 19 - 11
= 8
Midrange:
= (Highest value + Lowest value) / 2
= (19 + 11) / 2
= 30/2
= 15
Thus,
If the set is 1, 15, 19, 12, 11, 16, 11, 17.
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
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I need help with this
Answer:
to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you
From a hot-air balloon, Khalil measures a 36^{\circ}
angle of depression to a landmark that’s 1304 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
947.41 ft
Step-by-step explanation:
Tan 36 = opp / adj = height / 1304
1304 * tan 36 = height = 947.41 ft
Ready Mathematics
Unit 6 Unit Assessment
Solve the problems.
1 Look at the triangles.
3 cm
3 cm
3 cm
3 cm
4 cm
7 cm
4 cm
3 cm
Date
3 cm
Answer:
Talking Ben Thinks It 7 cm
Step-by-step explanation:
7m Cause Ben Told me
Can someone pls help
Answer:
12cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/18 = 4/6
6x = 72
x = 12 cm
Find the area and the circumference of a circle with diameter .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
the answer is in the picture