Answer:
1982 ft^3 ( rounded)
Step-by-step explanation:
The cube bottom is 12 x 12 x 12 = 1728
The pyramid top is 1/3 ( 12*12) * sqrt 28 = 253.99
added together = ~ 1982
( you have to use the HEIGHT of the pyramid for the volume calculation V = 1/3 * base area * height height = sqrt (28) )
Answer:
1,982 ft³
Step-by-step explanation:
Solving
Volume of rectangular prism (below)
lbh12 x 12 x 12144 x 121728 ft³Volume of square pyramid
1/3Bh1/3 x 144 x √2848 x 5.29253.92Total Volume : 1728 + 253.92 = 1,981.92 ft³ ≅ 1,982 ft³
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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1) Which of these is a synonym for 'deposit' as a noun? A. piedge B. dregs C. layer D. powder
Answer:
hey mate
A.piedge
is the correct answer
ayo earns 50,000 monthly and he spends 35,000 altogether. if he saves the rest, find the percentage of his savings
Answer:
30%.
Step-by-step explanation:
Ayo earns 50,000 monthly and he spends 35,000 altogether, so he saves the rest of his income. To find the percentage of his savings, we can divide his savings by his total income and multiply by 100.
His total income is 50,000
His total expenditure is 35,000
His savings = total income - total expenditure = 50,000-35,000 = 15,000
So the percentage of his savings = (savings / total income) x 100 = (15,000 / 50,000) x 100 = 0.3 x 100 = 30%
Therefore, Ayo's savings percentage is 30%.
A square has a diagonal that is 42 cm long. What is the area of the square?
If necessary, round your answer to the nearest whole number.
Answer:
b is your answer
Step-by-step explanation:
A=a^2
d= square root of 2 A
Solving for A
A=1
2d2=1
2·422=882cm²
A = 882cm^2
Two boards are placed end to end to make a walkway. One board is 6 feet 11 inches long, and the other board is 5 feet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
The walkway is 11 feet 6 inches long.
To find the length of the walkway, we need to add the lengths of the two boards.
The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.
The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.
Now we can add the lengths of the two boards:
6 + 11/12 feet + 5 + 7/12 feet
= 11 + 6/12 feet
=11 + 1/2 feet
Therefore, the walkway is 11 feet 6 inches long.
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The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm. Explain why your drawing is accurate.
Answer:
Step-by-step explanation:
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
\(\frac{l}{b}= \frac{1}{2}\)
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, Scale factor = \(\frac{25}{l}=\frac{25}{2}\)
l = 2 cm
Similarly,
\(\frac{50}{w}=\frac{25}{2}\)
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
Below are monthly rents paid by 30 students who live off campus.
640 640 640 840 610 500
600 940 650 530 630 595
470 650 560 570 760 830
510 530 670 600 620 410
640 710 730 750 630 655
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
Answer:
\(\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}\)
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Sqaure A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.
Given :
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet.The following steps can be used in order to determine the length of one side of the hot tub:
Step 1 - According to the given data, the dilation factor is 5.
Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.
Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:
\(\rm =\dfrac{24}{5}=4.8\;feet\)
So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).
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Dr Eberhardt has been conducting a study in which he wants to know how much glucose is generated by blue-green algae when they are placed under blue light for 4 hours. There are two methods that he can used to determine glucose levels and he needs to know which one is more accurate. In method 1, a hexokinase activity assay is used and the mean of 10 algal samples is 120 mmol, with a standard deviation of 4.8 In method 2, a glucose oxidase activity assay is used and the mean of the same 10 algal samples is 100 mmol, the standard deviation is 4.
Which method is more accurate?
a. both are equally accurate based on their coefficients of variation
b. method 2, because it has a smaller standard deviation
c. method 1, because although the standard deviation is greater so is the mean
d. you would need to know the range in order to see which is more accurate
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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Which is NOT a liability?
A. Debt owed by a business
B. Debt that must be paid within the current year
C. Debt that must be paid after the current year
D. Machines, vehicles, furniture and appliances
Answer:
D. Machines, vehicles, furniture, and appliances are not considered liabilities. Liabilities are obligations or debts that a business owes to others. They are usually in the form of loans or accounts payable and represent money that must be paid in the future.
Machines, vehicles, furniture, and appliances are assets, which are resources that a business owns and that have monetary value. Assets can be sold to generate cash or used to produce goods or provide services. While assets can be used to secure loans, they do not represent a debt or obligation that must be paid in the future like a liability
Answer:
D
Step-by-step explanation:
current liability is money owed to suppliers in the form of accounts payable . Current liabilities are typically settled using current assets, which are assets that are used up within one year.
Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
Write the equation of the line that passes through the point (-3, 1) and is perpendicular
3
to a line whose slope is 2
ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?
it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol
ILL GIVE U BRAINLIST OR WHATEVER
The nationwide percentage of Americans who invest in the stock market is usually taken to be 55%. Is this percentage different in Georgia? A survey and analysis among Georgia residents led to a test statistic of 1.75.
(b) What is the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average? (Use 4 decimals.)
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x<3
Step-by-step explanation:
\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
What is the length of the line segment with endpoints (-1, -2) and (4, 10)?
Answer:
u smart biy
Step-by-step explanation:
A man, a woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each other?
Answer:
Required probability = 2 / 11
Step-by-step explanation:
Sample space of 5 person = 11!
One woman one man arrangement = 2!
Arrangement without woman = 10!
Required probability = [2!][10!] / [11!]
Required probability = 2 / 11
The probability that the parents will be standing next to each other is 2/11
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Sample spaceGiven a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!
The parent arrangement is 2!If they are arranged without the woman, the expected event will be 10!Pr(parents standing next to each other) = 2!10!/11!
Pr(parents standing next to each other) = 2*10!/11*10!
Pr(parents standing next to each other) = 2/11
Therefore the probability that the parents will be standing next to each other is 2/11
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what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Suppose that the function h is defined, for all real numbers, as follows.
=hx +−12x24 ≠if x2
−2 =if x2
Find h−3, h2, and h4.
The function h is defined, for all real numbers h(-3) = -1/2 , h(2) = -2 and h(4) = -4.
What is a function ?
When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x. Mathematicians refer to functions as mapping or transformations.
The given function,
h(x) = -1/2 x^2 + 4 if x≠ 2
-2 if x=2
So, h(-3) = -1/2 (-3)^2 + 4
= - 9/2 + 4
= -1/2
h(2) = -2 ( given )
h(4) = -1/2 (4)^2 + 4
= -8 + 4
= -4 .
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PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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CITIES: The distance between New York City, New York, and Boston, Massachusetts, is 187 miles, and the distance between New York City and
Hartford, Connecticut, is 97 miles. Hartford, Boston, and New York City form a triangle on a map. What must the distance between Boston and
Hartford be greater than?
Answer:
Greater than 90 miles
Step-by-step explanation:
Use the triangle inequality theorem, since the cities form a triangle.
This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
We can find what the length of the third side has to be greater than by subtracting 97 from 187:
187 - 97
= 90
So, the distance has to be greater than 90 miles.
WORTH 50 POINTS
Find the values of x, y, and z in the image below (questions 11, 12, 13) Hints to
remember: interior angles of a triangle have a sum of 180. Angles that form a
a
straight line (linear pair) also have a sum of 180.
Answer:
TNXX SA POINTS!!Step-by-step explanation:
D KO ALM HUHUAnswer:
Step-by-step explanation:
Divide. Write the answer in simplest form 2 1/2 ÷ 8
Answer:
Step-by-step explanation:
2.5/8
(5/2) / 8
(5/2) * (1/8)
5/16
This article says short sleepers (fewer than 6 hours) are four times more likely to catch a cold than longer sleepers (over 7 hours). The article says "The researchers then sequestered 164 volunteers in a hotel, administered the cold virus via nasal drops and monitored them for a week." Without further info, what is potentially misleading?
The use of volunteer sampling means that the result of the survey is potentially misleading.
What is volunteer sampling?Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.
The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.
Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.
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