270 cubic inches
ExplanationThe formula for calculating the volume of a rectangular prism is given as;
\(V=length\times width\times height\)If a rectangular prism has a volume of 10 cubic units, then;
\(10=lwh\)If the dimension are each made 3 times long, then the new volume will be:
\(\begin{gathered} V_c=3l(3w)(3h) \\ V_c=27lwh......................\text{ 2} \end{gathered}\)
Substitue equation 1 into 2 to have:
\(\begin{gathered} V_c=27(10) \\ V_c=270in^3 \end{gathered}\)Therefore the new volume of the prism will be 270 cubic inches
The mean absolute deviation of Mr. Zimmerman's class is 0.46. What does this mean?
Answer:
is a measure of the average absolute distance between each data value and the mean of a data set.
835 yd to km express answer using three significant figures
Answer: 835 yards is equal to 0.764 kilometer.
Step-by-step explanation: One yard is equal to about 0.0009144 kilometer. In order to answer the question, we just have to multiply this by 835. This gives us about 0.763524.
In order to round to three significant figures, we start counting from the first non-zero number within this value - which would be 7. This means that 3 is our third significant value, and because a 5 comes after it we round up to four.
Thus, our final answer is 0.764.
Solve the inequality. m/-5 < or = 4
Answer:
M < or = -20
Step-by-step explanation:
Brainlist please
3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking
If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be
Let the number of the row be x. Then we have
\(\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8\)
Then the number of the row is 8.
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HELP QUICK PLEASE ILL GIVE BRAINLIST
Answer:
The tree is 72 feet tall.
Step-by-step explanation:
\( \frac{2}{6} = \frac{24}{h} \)
\(2h = 144\)
\(h = 72\)
An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?
Answer:
Step-by-step explanation:
C(16, 4) = 1820 ways
16
C
4 = (16x15x14x13) / (4x3x2x1)
Find the length of JM
Answer:
16
Step-by-step explanation:
Answer:24
Step-by-step explanation:
:)
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
10.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to calculate the hypotenuse.
We know the opposite side from the angle labeled 59 degrees.
sin 59 = opp side / hypotenuse
sin 59 = 9.2/x
x = 9.2/ sin 59
x = 10.733
Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
p= 14.63 - 0.84
Help me
Answer:
P = 13.79
Step-by-step explanation:
14.63 - 0.84 = 13.79
John collected data to determine how many minutes his teammates spend practicing basketball each night. Identify the outlier in his data.
Question 1 options:
10 minutes
40 minutes
30 minutes
5 minutes
Answer:
Step-by-step explanation:
5 minutes is the outlier. It sticks out from the rest.
18. If Allan swims at an average speed of 2
metres per second, how long will it take
him to complete a 200 metre race?
Answer:
100 seconds
Step-by-step explanation:
200/2 = 100s
PLEASE HELP 15 POINTS ON THE LINE SO PLEASE HELP Dylan’s dad purchased a car from his uncle and plans to give it to Dylan for his 16th birthday. His dad only paid $245.40 which is 30% of the original cost. How much was Dylan’s uncle selling the car for originally?
Answer:
$7,362
Step-by-step explanation:
its easy multiplication
$245.40 x 30
Answer:
818
Step-by-step explanation:
you just divide 245.40 by 30 and is gives 8.18 but you take the decimal away Hope that helps
Completely simplify the rational expression 6-(x-1)/(x+1)
Answer:
-x + 7 / x + 1
Step-by-step explanation:
6 -(x - 1)/ x + 1
Apply distributive law: -(x - 1) = -x + 1
= 6 - x + 1 / x +1
Group like terms:
= -x + 7/ x + 1
Answer: its 5x+7/x+1
Step-by-step explanation:
what is the answer I need help
Answer:
Step-by-step explanation:
The vertex is at (-3, -1) and the leading coefficient is negative ( because the curve is inverted)
y = -a(x + 3)^2 - 1
One point on the curve is (-2, -3) so
-3 = -a(-2+3)^2 - 1
-3 = -a - 1
-a = -2
So we have
y = -2(x + 3)^2 - 1
y = -2(x^2 + 6x + 9) - 1
y = -2x^2 - 12x - 19.
The sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price. What is the total amount paid for the refrigerator?
The amount paid for the refrigerator is $740.25.
How to calculate the price?From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.
The price of the refrigerator will be:
= $705 + (0.05 × $705)
= $705 + $35.25
= $740.25
Therefore, the amount paid for the refrigerator is $740.25
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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Find the equation of the linear function represented by the table
Y 2 7 12 17
x 1 2 3 4
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
Please help it’s due
Answer:
c, d, e,
Step-by-step explanation:
supplementary means 180 degrees or straight line
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
A company plans to sell a new type of vacuum cleaner for $280 each. The company’s financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y-intercept of 11,000 and a vertex of (500, 24,000). Which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 x squared + 11,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 (x minus 500) squared + 24,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 11,000 EndLayout
Answer:
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout
Step-by-step explanation:
Given that:
Cost per cleaner = $280
The cost of x vacuum cleaners will be :
Cost per cleaner * number of cleaners
$280 * x
= $280x
The general vertex firm equation :
y-k = a(x-h)^2
Vertex = (500, 24000) ; Vertex = (h, k)
h = 500 ; k =24000 y= 11000, x = 0
y intercept = 11000
Plugging the values :
11000 - 24000 = a(0 - 500)^2
- 13000 = a(-500)^2
-13000 = a * 250000
a = - 13000 / 250000
a = - 0.052
Hence,
y - 24000 = a(0 - 500)^2
y = - 0.052(0 - 500)^2 + 24000
Answer:
A on edge
Step-by-step explanation:
i took the test
Pls help urgently extra points and mark brainlist
Answer:
It is the last one.
Step-by-step explanation:
first one:4 and 10 is not prime, but still equal 80
So, turn 4 and 10 into prime numbers
1. 10=2x5
2.4=2x2
3. 80's prime factorzation: 2x2x2x2x5
What ratio is equivalent to 3:9?
Answer choices:
24:54
18:54
36:81
Answer:
18 to 54
Step-by-step explanation: 3 times 6 is 18 and 9 times 6 is 54. These 2 are ratios equal to 3 to 9. I hope this helps brudda :D
Which is the equation of the parabola that has a vertex at the origin and a focus at (3, 0)?
Check the picture below, so the parabola looks more or less like that, with a positive "p" distance of 3, so
\(\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=0\\ k=0\\ p=3 \end{cases}\implies 4(3)(x-0)=(y-0)^2\implies 12x=y^2\implies x=\cfrac{1}{12}y^2\)
Gary has 30 blueberry muffins which is 30%Of all blueberry muffins in her basket how many muffins are in her basket
Answer:
100
Step-by-step explanation:
If 30% of all of her muffins are blueberry muffins, that means that 30% of 100% are blueberry. We want to find how many total muffins there are in her basket. Using a ratio:
30 muffins 30%
----------------- = --------
x muffins 100%
Cross multiply:
30 (100) = 30 (x)
3000 = 30x
3000/30 = 30x/30
100 = x
x muffins = 100 muffins
So there are a total of 100 muffins in Gary's basket.
If X is a normal random variable that has mean mu = 20 and standard deviation sigma = 2, the standardized value of X = 16 is
Answer:
The standardized value is -2
Step-by-step explanation:
Given
\(mu = 20\) -- mean
\(\sigma = 2\) --- standard deviation
Required
Determine the standardized value of X = 16
The standardized value (S) is calculated using:
\(S = \frac{X - mu}{\sigma}\)
This gives:
\(S = \frac{16 - 20}{2}\)
\(S = \frac{- 4}{2}\)
\(S = -2\)
The standardized value is -2
what fraction is equal to -8/24
\( \frac{ - 8}{24} = \frac{ - 4}{12} = \frac{1}{ - 3} = - \frac{1}{3 } \\ \)
Answer:
1/32/68/242/34/616/241/42/88/323/46/824/32
You are standing 20 feet away from a tree that is 45 feet tall. What is the angle of elevation to the top of the tree? (round to the nearest degree)
Consider the schematic diagram given below,
In the diagram, AB represents the height of the tree, and point C is the location of the observer.
The angle of of elevation to the top of the tree is the angle BCA here.
This angle can be calculated as,
\(\begin{gathered} \tan (\angle BCA)=\frac{AB}{BC} \\ \tan (\angle BCA)=\frac{45}{20} \\ \tan (\angle BCA)=2.25 \end{gathered}\)Taking the inverse function both sides,
\(\begin{gathered} \angle BCA=\tan ^{-1}(2.25) \\ \angle BCA\approx66^{\circ} \end{gathered}\)Thus, the required angle of elevation is approximately 66 degrees.