the correct volume of the regular hexagonal prism is approximately 1088 cubic centimeters,
How to find the correct volume
To find the correct volume of a regular hexagonal prism, we need to use the correct formula. The formula for the volume of a regular hexagonal prism is:
V = (3√3/2) × a² × h
Where V is the volume of the prism, a is the length of one side of the regular hexagon, and h is the height of the prism.
If the student's answer of 1,077 cubic centimeters is incorrect, we need to calculate the correct answer using the formula. Let's assume that the student used the correct values for a and h, but made a mistake in the calculation.
We can rearrange the formula to solve for the length of one side of the hexagon, a:
a = √((4V)/(3√3h))
Substituting the given values, we get:
a = √((4×1077)/(3√3×h))
a = √(1436/h)
We don't have enough information to directly calculate the height of the prism, so we need to make an assumption. Let's assume that the height of the prism is equal to the length of one side of the hexagon, h = a. This is a common assumption for regular prisms, and it simplifies the calculation.
Substituting h = a, we get:
a = √(1436/a)
a² = 1436/a
a³ = 1436
a ≈ 11.25
Now that we have calculated the length of one side of the hexagon, we can substitute it back into the original formula to find the correct volume:
V = (3√3/2) × a² × h
V = (3√3/2) × 11.25² × 11.25
V ≈ 1088 cubic centimeters
Therefore, the correct volume of the regular hexagonal prism is approximately 1088 cubic centimeters, not 1077 as the student had stated.
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liu earned $316 on an investment of $869. How much would $1298 have earned in the same investment?
Liu will earn $472 on an investment of $1298.
Given, Liu earned $316 on an investment of $869.
We have to find how much he would earned if he invest $1298 in the same investment.
Now, $869 investment = $316 earned
$1 investment = 316/869 earned
$1298 investment = 316/869 × 1298 earned
$1298 investment = $472 earned
Hence, Liu will earn $472 on an investment of $1298.
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can u please help me get the answer to this i can’t find it anywhere
Given:
The graph is:
Find-:
The graph represents the function
Explanation-:
From the first graph
At x is 2 value of y is -3 and -1 so at one value of two value of y is not possible so it is not a function
For the second graph
At x= 4 value of y is -3 and 4 so at one value of two value of y is not possible so it is not a function
For the third function:
All values of x is a different value of y so it is a function.
So the answer is the third graph.
Fill in the missing values to make the equation true
Answer:
the missing values are 2, 8, and 3.
-12 divided by 3 5/9
your answer is 3.375
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answer:
Step-by-step explanation:
distributive property
Ken and Vincent each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Ken has 10 signatures, and Vincent has 30. Ken is collecting signatures at an average rate of
3 per day, whereas Vincent is averaging 2 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take?
00
Write a system of equations, graph them, and type the solution.
Sn
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A car is purchased for $32,000. Each year it loses 25% of its value. After how many years will the car be worth $5800 or less
Answer: 6 years
Step-by-step explanation: 32,000 divided by 25% is 24,000. 24,000 divided by 25% is 18,000. 18,000 divided by 25% is 13,500. 13,500 divided by 25% is 10,125. 10,125 divided by 25% is 7,593.75. 7,593.75 divided by 25% is 5,695.3125. so 6
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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WILL MARK BRAINLYEST
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?
Answer:
y - 5 = 6(x - 7)
Step-by-step explanation:
yes
Answer:
\(y+1=\frac{6}{11}(x+4)\)
The image below shows proof that the point-slope equation \(y+1=\frac{6}{11}(x+4)\) is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)
Hope this helps! :)
A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?
Answer:
he won 25 games
Step-by-step explanation:
Consider this equation
1/x-1 = | x-2 |
Using three iterations of successive approximation, what is the approximate solution to the equation? Use the graph as a starting point.
A. x ≈ 43/16
B. x ≈ 21/8
C. x ≈ 41/16
D. x ≈ 19/8
The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.
Given that the equation involves absolute value, we will consider two cases:
Case 1: x - 2 ≥ 0
In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.
Case 2: x - 2 < 0
In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).
Now, let's perform the successive approximation:
Iteration 1:
Let's start with an initial guess, x = 2.
Case 1: When x - 2 ≥ 0,
1/(2-1) = 2-2,
1/1 = 0,
which is not true.
Case 2: When x - 2 < 0,
1/(2-1) = -(2-2),
1/1 = 0,
which is not true.
Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.
Iteration 2:
Let's try x = 3.
Case 1: When x - 2 ≥ 0,
1/(3-1) = 3-2,
1/2 = 1,
which is not true.
Case 2: When x - 2 < 0,
1/(3-1) = -(3-2),
1/2 = -1,
which is not true.
Again, our guess did not satisfy the equation in either case.
Iteration 3:
Let's try x = 2.5.
Case 1: When x - 2 ≥ 0,
1/(2.5-1) = 2.5-2,
1/1.5 = 0.5,
which is true.
Case 2: When x - 2 < 0,
1/(2.5-1) = -(2.5-2),
1/1.5 = -0.5,
which is not true.
Our guess of x = 2.5 satisfies the equation in Case 1.
Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
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In ΔNOP, p = 9.5 cm, n = 2.7 cm and ∠O=35°. Find the length of o, to the nearest 10th of a centimeter.
Answer:
7.5
Step-by-step explanation:
DeltaMath
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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What is the value of x in the equation 2 (x + 3) = 4 (x minus 1)?
1
2
3
5
Answer:
5
Step-by-step explanation:
distribute: 2x+6 = 4x-4
subtract 2x from both sides: 6 = 2x-4
add 4 to both sides: 10 = 2x
divide both sides by 2: 5 = x
x = 5
Answer:
D
(5)
Step-by-step explanation:
Edge2020
NEED ANSWER ASAP!!
How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration to 9%?
State the domain and range for the function f (x)=x
( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \
Answer:
-17/12
Step-by-step explanation:
║5/6 - 7/12║- ║5/3║
= ║10/12 - 7/12║ - ║5/3║
= ║3/12║- ║5/3║
= 3/12 - 5/3
= 3/12 - 20/12
= -17/12
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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If 32 of the 92 people who swim at the ymca are adults , what is the ratio of adults to children who swim at the ymca. Write the ratio in the lowest terms as a fraction or with a colon
Answer:
8:23
Step-by-step explanation:
You can solve this problem by repeatedly dividing both numbers by 2. After dividing it by 2 a few times, you will find that you can't divide it anymore. Then your answer is whatever you numbers you have, in this case 8 and 23.
6x(2x+3)+1(2x+3)
Rewrite the expression
Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
Show why (2×3×7)^4 = 2^4 × 3^4 × 7^4 show work
\( {a}^{m} \times {b}^{m} = ( {ab)}^{m} \)
(2×3×7)⁴=(2×3)⁴×7⁴(2×3×7)⁴=(2×3×7)⁴RHS=LHSplease mark this answer as brainlist
On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 2 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
A cut parallel to the vertical axis, directly through the vertical axis. Option C is correct.
What are axes?Axes for the figure are defined as the imaginary lines that toward which measurement of the figures are taken.
Here,
When cutting the pyramid through axis perpendicular axis to the vertical axis, the shape produced would be a quadrilateral. But when we cut the pyramid through the vertical axis it produces the triangle.
Thus, a cut parallels the vertical axis, directly through the vertical axis. Option C is correct.
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c) The group is planning to build a fence around the garden. How many yards of
fencing materials do they need for the fence? Show your work. (3 points-2 points for
finding the value of side b and 1 point for finding the perimeter of the garden)
I
Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.
How to explain the valueAttached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.
On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by
outter fence (70)+
fence spinach-watermelon (8) +
fence red peppers-watermelon(12)+
fence red peppers-carrots (15)+
fence carrots-tomatoes (9)+
fence celery-tomatoes(6) +
fence spinach-celery(10)
= 130 yds
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Please help me!! Find the distance between points (-7,-4) and (-2,0)
Answer:
This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.
Step-by-step explanation:
For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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No
0.7
What’s the percentage
Answer: 70%
Step-by-step explanation:
0.7
----- x 100% = 70%
1
Answer:
70%
Step-by-step explanation:
When turning a decimal into a percent always bring the decimal point two places to the right.
0.7.0.
070%
70%
A gamer is observing her score, y, as she plays a video game. She currently has 2,500 points and is gaining 300 points for every minute, x, she plays. Which of the following equations can be used to describe this linear relationship? y = 300x − 2,500 y = 300x + 2,500 y = 2,500x − 300 y = 2,500x + 300
The linear equation that describes this situation is:
y = 2500 + 300*x
Which of the following equations can be used to describe this linear relationship?A general linear equation is written as:
y = ax + b
where a is the slope and b is the initial value.
Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.
Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:
y = 2500 + 300*x
That is the correct option.
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What is the equation of a line in point-slope form that has aslope of 4 and goes through the point (-8, 12)?
Given the slope and a point below;
\(\begin{gathered} m=4 \\ (-8,12)\Rightarrow x_1=-8,y_1=12 \end{gathered}\)By using the point-slope equation formula as described below
\(y-y_1=m(x-x_1)\)We can obtain the equation of the line with the above formula, we will have to substitute for y1, x1 and m. This process is shown below;
\(\begin{gathered} y-12=4(x-(-8)) \\ y-12=4(x+8) \end{gathered}\)By using distributive property, we can remove the bracket and simplify to obtain the equation
\(\begin{gathered} y-12=4(x)+4(8) \\ y-12=4x+32 \\ y=4x+32+12 \\ y=4x+44 \end{gathered}\)Hence, the equation of the line with slope of 4 and passing through the point (-8 , 12) is y = 4x + 44