Given:
Let us consider,
Length of a rectangular prism = 8 inches
Width = [tex]6\dfrac{3}{4}[/tex] inches
Height = [tex]5\dfrac{1}{4}[/tex] inches
To find:
The volume of the rectangular prism.
Solution:
The volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting the given values, we get
[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]
[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]
[tex]V=\dfrac{567}{2}[/tex]
[tex]V=283.5[/tex]
Therefore, the volume of the rectangular prism is 283.5 cubic inches.
an amusement park is open for 15 hours a day 7 days a week
Their admission prices are listed below
3 hours or less: $15
Between 3 hours and 7 hours: $22
7 or more hours:$30
Identify their domains and functions for this context.
Answer:
f(x)=15 when: 0<x(less than or equal to)3
f(x)=22 when: 3<x<7
f(x)=30 when: 7(is less than or equal to)x
Part B- Evaluate the function for f(2): 15
Step-by-step explanation:
Algebra Nation; Section 8 topic 6
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
How to calculate the domain?The admission prices at the amusement park can be represented as functions of the amount of time a customer spends at the park. Let's denote the amount of time by t (in hours). Then we can define the following functions:
For t ≤ 3: f(t) = 15
For 3 < t ≤ 7: f(t) = 22
For t > 7: f(t) = 30
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
Note that the domain for each function reflects the fact that customers can only be charged according to the specified rates for the corresponding time intervals.
Additionally, since the amusement park is open for 15 hours a day, 7 days a week, we can say that the total operating time is 15 x 7 = 105 hours per week.
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If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y
Answer:
the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them
Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.
Answer:
14 inches
Step-by-step explanation:
She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.
We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.
The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]
So,
[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]
So, the diameter of the pizza is 14 inches.
In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?
Answer:
19
Step-by-step explanation:
24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2
round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.
help me please and thanks!!!!
Answer:
The answer is B.
Step-by-step explanation:
so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.
The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?
Answer:
We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.
Please help me I have 10 minutes no scams I’m in 7th grade
Answer:
The answer is 37
Step-by-step explanation:
180- 143= 37
Find the value of 2asquared + 5bsquared when a =-6 and b = 2
Answer:
[tex]92[/tex]
Step-by-step explanation:
[tex]2 {a}^{2} + 5 {b}^{2} \\ 2 \times {( - 6)}^{2} + 5 \times {2}^{2} \\ 2 \times 36 + 5 \times 4 \\ 72 + 20 \\ = 92[/tex]
Hope this helps you.
Can I have the brainliest please?
can some one give me a hand here???????
Please help I can’t fail
Answer:
B
Step-by-step explanation:
line b is the closest to all the points on the graph
a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?
Answer:
403 miles
Step-by-step explanation:
500 mph is 500 miles per hour
30 minuites is half an hour, so that is 250 miles west
60 degrees west, 600 miles away
so it is a triagle of 30 60 and 90.
600 is the hypotenuse of the 30 60 90 triangle
we need to find the height of the 30 60 90 triangle
using the special rule, the height is 300
the length of the 30 60 90 triangle is 300rt3
so 300rt3 - 250 is the length of another triangle.
height is still 300
hypotenuse is the distance of the actual area minus the plane's current position
(300^2 + (300rt3-250)^2)^1/2 is about 403.351433
whats 5^4/5+4 please help
Linda is 3 1/years younger than Rose. Joahn is 8 1/3years older than Linda. To the nearest year, what is the difference in Rose's age and Joahn's age?
Answer: 5 years
Step-by-step explanation:
Given
Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose
Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda
Suppose the age of Rose is [tex]x[/tex]
So, Linda's age
[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]
Johan's age
[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]
Difference between the Rose's and Johan's age is
[tex]\Rightarrow x+5-x=5\ yr[/tex]
If AABC = APQR, then
AB =
Help please
Answer:
PQ should be the answer
Step-by-step explanation:
Guys pls help me!!!!!!
a person earns $18,200 one year and gets a 5% raise in salary what is the new salary
Answer:
$19,110
Step-by-step explanation:
18,200 x 1.05 = 19,110
hiroshi earns $6.50 an hour. He wants to buy a cd player that costs $117. Write an equation and find how many hours hiroshi will have to work to buy the cd player.
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
For a sample size of 120 and a sample proportion of 0.4, what is the standard
error of the sampling distribution? Round your answer to three decimal
places.
A. 0.053
B. 0.064
C. 0.045
D. 0.039
Answer:
c I think not sure juinji
The standard error of the sampling distribution is 0.014. The closest option to 0.014 among the answer choices is C. 0.045, but it is not a match. None of the provided answer choices matches the calculated value exactly.
To find the standard error of the sampling distribution, we can use the formula:
[tex]Standard Error = \sqrt{[(sample proportion * (1 - sample proportion)) / sample size]}[/tex]
Given a sample size of 120 and a sample proportion of 0.4, we can calculate the standard error as follows:
[tex]Standard Error = \sqrt{[(0.4 * (1 - 0.4)) / 120]}\\Standard Error = \sqrt{[(0.4 * 0.6) / 120]}\\Standard Error = \sqrt{[0.024 / 120]}\\Standard Error = \sqrt{0.0002}\\Standard Error \approx 0.014[/tex]
Rounded to three decimal places, the standard error is approximately 0.014.
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Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
Simplify, give answer in exponential form: 3^9 x 3^4
Answer:
In exponential form, the correct answer is [tex]3^{13}[/tex].
Step-by-step explanation:
When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].
a number is two more than another number in number form?
From the information in the word problem we are able to set up the following inequality:
3y + 2 - y = 12 | where x is the larger number of two numbers in a set (x, y)
We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.
We also know that x - y = 12.
So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:
3y + 2 - y = 12
Now, we solve the inequality
3y + 2 - y = 12
-> subtract 2 from both sides :: 3y - y = 10
-> subtract y from 3y :: 2y = 10
-> divide both sides by 2 :: y = 5
So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:
x - y = 12
-> substitute y for 5 :: x - 5 = 12
-> add 5 to both sides :: x = 17
OR
3y + 2 = x
-> substitute y with 5 :: 3(5) + 2 = x
-> multiply 3, 5 :: 15 + 2 = x
-> add 15, 2 :: 17 = x
So there you have it:
x = 17 , y = 5
You can go back and use these values to check your answer and make sure they work with the word problem.
Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.
(just another form of the equation)
brainliest will be appreciated as well
III Question 4 of 10 ( point) Question Attempt: 1 of Unlimited Susan makes house calls. For each, she is paid a base amount and makes additional money for each hour she works, The graph below shows her pay in dollars) versus the number of hours worked. Use the graph to answer the questions.
Answer:
a) $30
b) 30
Step-by-step explanation:
a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.
b) Every hour, the pay goes up 30. Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.
Which scatterplot shows a linear association?
Answer:
C
Step-by-step explanation:
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.
Answer:
The answer is B
This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.
Answer:
B: Alex sent the questionnaire only to those who live near her
Step-by-step explanation:
<3
please help me it due soon
Answer:
Tyler is correct
Step-by-step explanation:
ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A
In how many ways can a group of 9 persons arrange themselves around a circular table?
Answer:
20,160 ways
Step-by-step explanation:
9x8x7x6x5x4x3x2x1=9
The hanger image below represents a balanced equation. Select an equation that represents the image. Choose 1 answer: Choose 1 answer: (Choice A) A 9=2-c9=2−c9, equals, 2, minus, c (Choice B) B 9=2+c9=2+c9, equals, 2, plus, c Find the value of ccc that makes the equation true. c=c=c, equals
Answer:
3333.4
Step-by-step explanation:
bc i said so
Answer:
ion lolz 7.4
Step-by-step explanation:
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5
HELP ME PLEASE I'll give brainless.
Answer:
∠FGI=40°
Step-by-step explanation:
CE║FH ⇒ ∠CDG=∠FGI=40°
