please help A video game box is shaped like a rectangular prism with the following dimensions Length = 20 in • Width = 8.25 in. • Height = 4.5 in. What is the volume of the box in cubic inches?
Answers
Answer:
V= 742.4 in³
Step-by-step explanation:
V= L x W x H = (20)(8.25)(4.5) = 742.4 in³
Related Questions
expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths
Answers
Which models show the problem 4/6 : 2/6 = 2? Check all that apply :
Answers
Answer: 1st, 2nd, and 3rd option are correct :) ✨
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
at a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. The prices of the two types of tickets are shown. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?
Answers
The number of tickets sold to the public was 375
What is algebraic expression?An algebraic expression in mathematics is the expression which is made up of the variables and the constants, along with the algebraic operations (addition, subtraction, multiplication etc.).
Let
x ----> number of tickets sold to the students
y ----> number of tickets sold to the public
we know that
x + y = 450 ----> equation A
15x + 25y = 10,500 ----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (75,375)
see the attached figure
therefore
The number of tickets sold to the public was 375
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Information
500 customers contacted a company today.
Phone
250 Customers
Webchat
4x Social Media
Email
III)
50% of Phone
Social Media
Question
Adjust the pie chart to represent the source of customer contacts.
G
Answers
Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4
What purpose does a pie chart serve?Pie charts can be used to show percentages for the whole group or for a specific time period.
In contrast to bar and line graphs, pie charts do not show changes over time.
The following pages provide descriptions of the various pie chart elements.
Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.
Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.
=(50÷100)×250
=125
Customers reached via social media
= total customers + 250 + 125 + x+1 = 500 x+1
=125 × 5
T=125
x=100.
Customers contacted via the web = x(let) then.
as a result, customers contacted online (chart = x = 100)
25 customers were reached by social media, or x/4
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To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
Answers
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
The equation for the total cost of all adult tickets (a) and student tickets (s).
4a + 2.5s = 2,820
a + s = 900
The number of adults ticket and student tickets is 380 and 520.
We have,
Adults ticket cost = $4
Student ticket cost = $2.5
Now,
Total amount earned = $2,820
The equation for the total cost of all adult tickets (a) and student tickets (s).
4a + 2.5s = 2,820 ______(1)
And,
The number of tickets sold = 900.
We can write as equation as:
a + s = 900 ______(2)
Now,
We have two equations.
4a + 2.5s = 2820
a + s = 900
Solving for s.
s = 900 - a
Substituting in (1)
4a + 2.5(900 - a) = 2820
Simplifying and solving for a.
4a + 2250 - 2.5a = 2820
1.5a = 570
a = 380
Now,
a + s = 900
380 + s = 900
s = 520
Therefore,
The number of adults ticket and student tickets is 380 and 520.
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Billy invests $5,000 in an account at 4.2% for 15 years, compounded monthly. Assuming no other deposits or withdrawals are made, how much will Billy have at the end of 15 years?
Answers
The amount Billy has at the end of the 15 years is $9,377.73.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P\((1 + r/n)^{nt}\)
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5000
r = 4.2%
t = 15 years
n = 12
A = P\((1 + r/n)^{nt}\)
A = 5000 \((1 + 0.0035)^{180}\)
A = 5000 x \(1.0035^{180}\)
A = $9,377.73
Thus,
Billy has $9,377.73 at the end of the 15 years.
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Suppose f(x) is a function which satisfies f'(3) = 0,f'(5) = 0, f"(3) = -4, and f"(5) = 5.
Which of the following statements is true?
A. f(x) has a relative minimum at x = 3 and at x = 5.
B. f(x) has a relative minimum at x = 3 and a relative maximum at x = 5.
C. f(x) has a relative maximum at x = 3 and at x = 5.
D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.
E. None of the above is true,
Any help
Answers
Using the concept of critical point and the second derivative test, it is found that the correct option is:
D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.
The critical points of a function \(f(x)\) are the values of x for which \(f^{\prime}(x) = 0\).Applying the second derivative test at the critical points, we have that:
If positive, that is, \(f^{\prime\prime}(x) > 0\), it is a relative minimum.If negative, that is, \(f^{\prime\prime}(x) < 0\), it is a relative maximum.If zero, that is, \(f^{\prime\prime}(x) = 0\), we do not have sufficient information.In this problem:
\(f^{\prime}(3) = 0, f^{\prime\prime}(3) < 0\), thus, there is a maximum at x = 3.\(f^{\prime}(5) = 0, f^{\prime\prime}(5) > 0\), thus, there is a minimum at x = 5.The correct option is:
D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.
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27 x 26 x 28 x 34 x 45
Answers
27 x 26 x 28 x 34 x 45 = 30,073,680
Answer:
30,073,680
Step-by-step explanation:
Use calculator.
For any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + CB = AB. This relationship is called a what?
Answers
The given relationship is called "segment addition postulate".
What are collinear points?The points lying on the same segment are called collinear points.
Given that, For any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + CB = AB
The relationship shown here is "segment addition postulate".
Segment addition postulate:-
According to segment addition postulate,
The length of the whole segment is equal to the sum of the lengths of all the parts of the segment.
Hence, This relationship is called the segment addition postulate.
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What is the equation of this table?
plzz help me
Answers
y=1/2X+5 or y=X/2+5 is the equation
Which ones are linear functions and why
Answers
Answer:
A, B and C
Step-by-step explanation:
A linear function is one in which the power of the variable x is 1
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answers
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
The school team has 80 swimmers. The ratio of seventh-grade swimmers to all swimmers is 5 : 16. Write a proportion that gives the number s
of seventh-grade swimmers.
Answers
The number of seventh grade winners is 25.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here: total swimmers is 80 and the ratio of seventh to all swimmers is 5:16
According to the proportion in the question we get
5/16=s/80
s=5/16 × 80
s=25
The number of seventh grade winners is 25.
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An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell and running them under elevated temperature conditions. Six samples were tested with the following resulting failure times (in hours): 34, 40, 46, 49, 61, 64. (a)Calculate the sample mean and sample standard deviation of the failure time. (b)Determine the range of the true mean at 90% confidence level. (c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time
Answers
Answer:
a) The sample mean is of 49 and the sample standard deviation is of 11.7.
b) The range of the true mean at 90% confidence level is of 9.62 hours.
c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.
Step-by-step explanation:
Question a:
Sample mean:
\(\overline{x} = \frac{34+40+46+49+61+64}{6} = 49\)
Sample standard deviation:
\(s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7\)
The sample mean is of 49 and the sample standard deviation is of 11.7.
b)Determine the range of the true mean at 90% confidence level.
We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 2.0.150
The margin of error is:
\(M = T\frac{s}{\sqrt{n}}\)
In which s is the standard deviation of the sample and n is the size of the sample. So
\(M = 2.0150\frac{11.7}{\sqrt{6}} = 9.62\)
The range of the true mean at 90% confidence level is of 9.62 hours.
(c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time.
This is the confidence interval, so:
The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.
The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.
The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.
The tread life of a particular brand of tire is normally distributed with mean 60,000 miles and standard deviation 3800 miles. Suppose 35 tires are randomly selected for a quality assurance test. Find the probability that the mean tread life from this sample of 35 tires is greater than 59,000 miles. You may use your calculator, but show what you entered to find your answer. Round decimals to the nearest ten-thousandth (four decimal places).
Answers
Answer:
P [ x > 59000} = 0,6057
Step-by-step explanation:
We assume Normal Distribution
P [ x > 59000} = (x - μ₀ ) /σ/√n
P [ x > 59000} = (59000 - 60000)/ 3800
P [ x > 59000} = - 1000/3800/√35
P [ x > 59000} = - 1000*5,916 /3800
P [ x > 59000} = - 5916/3800
P [ x > 59000} = - 1,55
We look for p value for that z score n z-table and find
P [ x > 59000} = 0,6057
Caroline went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 30 grams of sugar and each bottle of juice has 15 grams of sugar. Caroline purchased a total of 6 bottles of juice and soda which collectively contain 150 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, ∞, and the number of bottles of juice purchased, y.
Answers
The solution of the system of equations is the point of intersection (4, 2), as shown in the graph below.
Caroline bought 4 soda bottles.
Caroline bought 2 juice bottles.
How to Solve a System of Equations?In order to determine the solution to this problem, use the information given to create two equations.
Number of soda bottle = x.
Number of juice bottle = y.
First Equation for the total number of bottle that Kelvin bought
x + y = 6 --> eqn. 1
Second Equation 2 for the total sugar in the soda bottles and total sugar in juice bottles that equals 150 grams of sugar.
30x + 15y = 150
Simplify by dividing by 5
6x + 3y = 30 --> eqn. 2
Rewrite eqn. 1:
y = 6 - x
Solve simultaneously for the variables of x and y, by substituting the value of y into equation 2:
6x + 3(6 - x) = 30
6x + 18 - 3x = 30
3x + 18 = 30
3x = 30 - 18
3x = 12
3x/3 = 12/3
x = 4
Caroline bought 4 soda bottles.
Substitute x = 4 into equation 1 to find the value of y:
x + y = 6
4 + y = 6
y = 6 - 4
y = 2
Caroline bought 2 juice bottles.
The graph below shows the point of intersection, (4, 2), which is the solution.
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If sasha had 85 cookies, and she divided it among 12 people and fraction it in simplest form. What is the answer?
Answers
Answer:
Each person gets 7 cookies.
Step-by-step explanation:
Total cookies: 85
Total people will receive cookies: 12
\(\frac{85}{12} = 7.08\)
If we estimate it to the whole number, that means each person will get 7 cookies.
If u can help me with this and have any social media please let me know ;-;
Answers
Answer:
I can't
Step-by-step explanation: I have every social
some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answers
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.\(Q_{1}\) = First Quartile , which represent \(\frac{1}{4}\) part of the player. That is 25%\(Q_{2} =\) Second Quartile ,which represent 1/2 of the players= 50%\(Q_{3}=\)Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
\(100-75=25\)
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can someone help me plzzz!!
Answers
Answer:
x = 2 and y = -2
Step-by-step explanation:
a) 5x-4y = 18
b) x+3y = -4
b) x = -3y - 4
a) 5 (-3y - 4) - 4y = 18 (substitution)
a) - 15y - 20 - 4y = 18
a) -19y = 18 + 20
a) y = 38/-19
y = -2
b) x + 3(-2) = -4
b) x - 6 = -4
x = 6-4 = 2
Correct answer gets brainliest
Answers
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
Answers
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
Alexa is hooked on a new book series, The Galaxy. Each book in the series is the same length and chronicles a different year in the Waka Waka Galaxy. Alexa has cleared off the top shelf of her bookcase to leave room for each of the books as they come out. There is a proportional relationship between the number of books on the shelf, x, and how much shelf space the books take up (in inches), y.
The equation that models this relationship is y=2x.
How many books will take up 16 inches of shelf space? Write your answer as a whole number or decimal.
Answers
Answer: 8 books
Step-by-step explanation:
y= how much shelf space take up (inches)
x= # of books
y=2x
in this situation 16=y
16=2x
divide both sides by 2
8=x
CAN SOMEONE HELP WITH THIS QUESTION?
Answers
We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.
If there is 6 grams of solid at time t, then f(t) = 6 g.
To estimate the amount of solid 1 second later, we can use the derivative formula:
f'(t) = −2f(t)(5+ f(t))
We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.
To do this, we can use Euler's method, which is an approximation method for solving differential equations.
Euler's method uses the formula:
f(t+1) ≈ f(t) + f'(t)Δt
where Δt is the time step (in minutes).
Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.
Plugging in the values for f(t) and f'(t), we get:
f(t+1) ≈ f(t) + f'(t)Δt
f(t+1) ≈ 6 - 2(6)(5+6)
f(t+1) ≈ -66
Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.
It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.
or maybe im just bad at maths
A ship X sailing with a velocity (21 kmh 052⁰) observes a light fron a lighthuse due North. The bearing of the liglhthouse from the ship 20 minutes later is found to be 312. calcuate correct to thre sigificant figures
i) the orignal distance when the lighthoues is due West of the ship from the time when it is due North of the ship.
ii) the time in minutes, when the lighthouse is due West of the ship from the time when it is due North of the ship.
iii) the distance in km of the ship from the lighthoue when the light.hose is due West of the ship
Answers
i) the original distance when the lighthouse is due West of the ship is 7 km
ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes
iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km
To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:
i) Finding the original distance when the lighthouse is due West of the ship:
The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.
To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:
Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).
ii) Finding the time in minutes when the lighthouse is due West of the ship:
To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:
Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).
To find the time, we can use the formula:
Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).
iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:
We can use the formula for relative velocity to find the distance:
Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)
Using the values we calculated earlier, we have:
Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).
Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.
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Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Answers
Answer:
the first one
Step-by-step explanation:
Answer:Option A is correct. (light blue color in the triangle choices)
Which number is composite 2, 5, 11, 9,
Answers
Answer:
9
Step-by-step explanation:
3*3 =9
Find all of square roots of 36i and write the answers in rectangular (standard) form
Answers
r = √(0^2 + 36^2) = 36
θ = tan^-1(0/36) + kπ = kπ (where k is an integer)
Since 36i lies on the positive imaginary axis, we can choose k = 1/2 so that θ = π/2.
Thus, 36i in polar form is 36(cos(π/2) + i sin(π/2)).
Now we can find the square roots of 36i by taking the square root of the magnitude and dividing the angle by 2:
√36(cos(π/4) + i sin(π/4)) = ± 3(cos(π/8) + i sin(π/8))
√36(cos(9π/4) + i sin(9π/4)) = ± 3(cos(9π/8) + i sin(9π/8))
Therefore, the square roots of 36i in rectangular form are:
±3(cos(π/8) + i sin(π/8)) and ±3(cos(9π/8) + i sin(9π/8))