Answer:14.7
Step-by-step explanation:
d = l^2+w^2+h^2 = 10^2+4^2+10^2≈ 14.69694cm
2x+4x+6x=12
Giving extra points
Due in 5Min
Plz
The diagram shows corresponding lengths in two similar figures. Find the area of the smaller figure.
A. 81 cm2
В. 135 cm2
C. 180 cm2
D 240 cm2
Answer:
B is the correct answer
the area of the smaller figure.
135 cm^2
the following data, the mean is 62 . Find the range, variance, and standard deviation using the formula. 9,67,68,69,70,70,71,72 Range: Standard Deviation: Variance:
For the given data set: 9, 67, 68, 69, 70, 70, 71, 72, we need to calculate the range, variance, and standard deviation using the respective formulas.
The range is the difference between the maximum and minimum values in the data set. The variance is a measure of the spread or dispersion of the data, calculated as the average of the squared differences from the mean. The standard deviation is the square root of the variance. To find the range, we subtract the minimum value (9) from the maximum value (72). So, the range is 72 - 9 = 63.
To calculate the variance, we need to find the squared differences between each data point and the mean (62), sum up those squared differences, and divide by the total number of data points. The squared differences are as follows: (9 - 62)^2, (67 - 62)^2, (68 - 62)^2, (69 - 62)^2, (70 - 62)^2, (70 - 62)^2, (71 - 62)^2, (72 - 62)^2. After summing up these squared differences and dividing by 8 (the total number of data points), we get the variance. To find the standard deviation, we take the square root of the variance. The standard deviation provides a measure of how spread out the data is from the mean.
Using the given data set, you can calculate the range, variance, and standard deviation using the formulas described above. The range represents the extent of variation in the data, while the variance and standard deviation quantify the dispersion of the data points around the mean.
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Whats the value of the expression?
Answer:
I can not help you
Step-by-step explanation:
Which number property does this equation represent?
(x+6) + 2 = x + (6 + 2)
Answer:
Associative property
Step-by-step explanation:
FOR MORE INFORMATION
Commutative property :
A+B=B+A
A*B=B*A
. Associative property :
(A+B)+C=A+(B+C)
(A*B)*C=A*(B*C)
. Distributive property :
(A+B)*C=A*C+B*C
. Identity property :
A+0=A
A*1=A
(08.02)Using the following data, calculate the mean absolute deviation:
10, 7, 1, 6, 7, 9, 8, 10, 2, 5
What is the mean absolute deviation for these data?
Answer:
7
Step-by-step explanation:
10+7+1+6+7+9+8+10+2+5
-----------------------------------
10
65 ÷ 10
= 6.5, round up, = 7
Answer:
I took the quiz and the answer is 7
Step-by-step explanation:
Deceleration, A car slows down with an acceleration of a(t) = -15 ft/s^2. Assume that v(0)=60 ft/s, s(0) =0, and t is measured in seconds. A) Determine and graph the position function for t> 0. B) How far does the car travel in the time it takes to come to a rest?
The car travels a Distance of 120 ft in the time it takes to come to a rest.
A) Determine and graph the position function for t > 0
Given that: Deceleration of car, a(t) = -15 ft/s²Velocity of car, v(0) = 60 ft/sInitial position of car, s(0) = 0
We know that:v(t) = v(0) + a(t) * tHere, v(0) = 60 ft/sa(t) = -15 ft/s²v(t) = 60 - 15tThen, s(t) = s(0) + v(0)t + (1/2)a(t)t²Putting in the values, we get:s(t) = 60t - 7.5t²
Thus, the position function for t > 0 is s(t) = 60t - 7.5t²
.Graph: We can use the above formula for position function to create a graph using a graphing calculator. The graph will look like this:
B) How far does the car travel in the time it takes to come to a rest?When the car comes to rest, its final velocity (v) will be 0. We can find the time taken to come to rest as follows:0 = 60 - 15t15t = 60t = 60/15 = 4 seconds
The car travels for 4 seconds before coming to rest.
We can find the distance travelled during this time as follows:Distance travelled, s = s(4) = 60(4) - 7.5(4²) = 240 - 120 = 120 ft
Therefore, the car travels a distance of 120 ft in the time it takes to come to a rest.
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For the given situation, write a linear function using meaningful variables. Find and interpret the slope and y-intercept.
A man has a starting weight of 199 pounds and is losing 11 pounds each month. Model his weight with a linear
function.
Let m = number of months and W = man's weight. The linear function that models the situation is W =
(Use integers or fractions for any numbers in the equation.)
Save
Slope = -11
Y-intercept = (0, 199)
What is a linear function?
A function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.
Here, we have
Given: A man has a starting weight of 199 pounds and is losing 11 pounds each month. Model his weight with a linear function.
Linear function: y = mx+b
m = a number of months and W = man's weight.
Man's starting weight = 199 pounds.
w = -m(11) + b = 199
w = -0(11) + b = 199
b = 199
w = -11m + 199
Slope = -11
Y-intercept = (0, 199)
Hence, Slope = -11
Y-intercept = (0, 199)
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ABCD is a parallelogram. If side AB = 5x + 7, side BC = 8x - 12, and side CD = 7x - 9, find the value of x.
Answer:
8cm
Step-by-step explanation:
AB = CD
5x+7 = 7x-9
2x = 16
there are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.
Answer:
The card removed was number '4'.
Step-by-step explanation:
9+8= 17
17+6= 23
23+1=24
You then must divide 24 by 4:
24/4 = 6
Therefore the card removed must have been 4.
I hope that helped and I hope it is correct lol.
Robert's monthly bank statement showed the following deposits and withdrawals: -−$113.24, $98.07, -−$18.74, -−$98.17, $37.13 If Robert's balance in the account was $110.31 at the beginning of the month, what was the account balance at the end of the month? Answer: \$$
Answer:
The correct answer is −94.95
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
The value of A is A(1,-15) and the distance between AB is 8 so these are the correct answers.
According to the statement
We have given that the
AB = 8 and B lies at −7, and we have to find the position of the A on the number line.
Let a be a point on number line and b be the second point on number line.
And The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
AB = -1-(7) = -1+7 = 6
For A = 1
As A>B so
AB = 1-(-7) = 8
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
AB = 15-(-7) = 22
For A=-15
As B>A
AB = -7 -(-15) = 8
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
So, The value of A is A(1,-15) and the distance between AB is 8 so these are the correct answers.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
A −1
B 1
C 15
D −15
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Can someone explain how to do this? Not just the answer (that too though) but an explanation as well
The equation of the proportional relationship for the total cost of purchasing x footballs is given as follows:
y = 9x.
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
From the table, when x increases by 1, y increases by 9, hence the constant is given as follows:
k = 9.
Then the equation that models the proportional relationship is given as follows:
y = 9x.
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Find the slope of the lines graphed below.
Giving brainliest to whoever answers all correct.
Answer:
1.slope is 2
2.slope is -3/5
3.slope is 1
4.vertical line slope 0 undefined
5.x=-5
6.horizontal line slope 0 undefined
Step-by-step explanation:
Answer:
1) 2 2) -3/5 3) 1 4) Undefined 5) -5 6) 0
Step-by-step explanation:
what is the property that you used to get the answer for 27+29+31 What property did you use?
Commutative property of addition is the property that we used to get the answer for 27+29+31 = 87.
What is the Commutative property?The commutative property of addition says that changing the order of addends does not change the sum. As the first civilization to study fractions, the Egyptians used fractions to address a variety of mathematical problems, including the division of food and supplies and the absence of a bullion currency.
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
In the properties used for this question use the properties of the Commutative property of addition
If counted then the final result
31 + 27 + 29
= (30 +1) + (30 - 3) + (30 - 1)
= 3(30) + 1 - 3 - 1
= 90 - 3
= 87
Hence, 27+29+31 = 87
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35% of flowers sold on a day were roses. If 42 roses were sold, how many total flowers were sold?
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
what is unitary method ?In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.
given
Assume that "x" represents the total quantity of flowers sold on that particular day.
Roses made up 35% of the total number of flowers, which means that:
0.35x = 42
By dividing both sides by 0.35, we can determine the value of "x":
x = 120
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
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does listening to mozart lead to higher scores on an iq test? an experiment involved listening to mozart while performing abstract reasoning skills on an iq test. these results were compared to the completion of similar tasks with a silent background. the mean iq scores were 1.2 points higher after listening to mozart than with the silent background. the p-value for the test was calculated to be 0.0004. can we conclude that listening to mozart will lead to much higher scores on iq test?
We cannot conclude that listening to Mozart will lead to much higher scores on an IQ test based on the given information.
While the mean IQ scores were 1.2 points higher after listening to Mozart, the statistical significance of this difference depends on the chosen level of significance (alpha level) and the sample size. The p-value of 0.0004 indicates that if there is no difference in IQ scores between the Mozart and silent background conditions in the population, there is only a 0.04% chance of observing a sample mean difference of 1.2 points or larger. However, we would need to know the alpha level and sample size used in the study to determine if this is statistically significant at a practical level. Additionally, this experiment only shows a correlation between listening to Mozart and higher IQ scores, and cannot prove causation.
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PLEASE HURRY!! Evaluate
3(6-14)
-
O-15
O 6
0 -1
O 6
Answer:
the answer should be 6
3(6-14) = -24
then -24 ÷ (-4) is 6
reiko drove from point a to point b at a constant speed, and then returned to a along the same route at a different constant speed. did reiko travel from a to b at a speed greater than 40 miles per hour?
Answer:
Step-by-step explanation:
Unfortunately, I cannot answer this question without additional information about the distances traveled and the time taken by Reiko to travel from point A to point B and back to point A.
The speed at which Reiko traveled is calculated as distance divided by time. Therefore, we need to know both the distance and time for each leg of the journey to determine the speed.
Without this information, it is not possible to determine whether Reiko traveled from A to B at a speed greater than 40 miles per hour.
In this situation, which equation is NOT equivalent to the rest? Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance.
Answer:
c. 5x - 3 = 125
Step-by-step explanation:
Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125
b. 5x - 15 = 125
c. 5x - 3 = 125
d. 5x = 140
Solution:
Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.
There are 5 children, hence the allowance for the 5 children would be:
5(x-3)
Since they received a total of $125 in allowance, hence:
5(x-3) = 125
5x - 15 = 125
5x = 125 + 15
5x = 140
Option c is wrong
working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.
Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40
Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60
Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60
The amount of swimming pool filled in 1 minute = (60 - 40)/2400
The amount of swimming pool filled in 1 minute = 20/2400
The amount of swimming pool filled in 1 minute = 1/120
Total time taken to fill swimming pool = 1 ÷ (1/120)
Total time taken to fill swimming pool = 120 minutes
Thus, 120 minutes are required.
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A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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If I were to solve an equation such as 14x-3=24x+29, would I start inversing the 24x or the 14x first? I have been doing the lower variable number first this whole time but I seem to get it wrong since it's supposed to be negative.
Drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used. what are the missing side lengths for the triangle? 10 5
Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
What is Trigonometry Ratios?Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
According to the given information:Reference angle (∅) = 60
Adjacent = 4√3
Opposite = ?
Apply TOA:tan 60 = opp/adj
tan 60 = Opp/4√3
√3 = opp/4√3
Opposite = √3 × 4√3
Opposite = 12
Find the other missing side:Reference angle (∅) = 60
Adjacent = 4√3
Hypotenuse = ?
Apply CAH:cos 60 = adj/hyp
cos 60 = 4√3/hyp
hyp = 4√3/cos 60
hyp = 4√3/1/2
hyp = 4√3 × 2
hyp = 8√3
Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
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Find the value of x. I need some help
i dont know what it is i can barley see
Answer:
Step-by-step explanation:
For number 1: They are alternate interior angles, so you can set them equal to each other and find the answer that way. The pic is a bit blurry, but I think it's 4x=136, which is simplified to x=34.
For number 2: These are supplementary angles, which means that they add up to 180. 180-125 is 55, which means that 3x+1=55. Simplifying that, x=18.
Number 3: Once again alternate interior angles, which means that 53=x-11. Simplify that and you get x=64
Number 4: These are same side interior angles, and they are supplementary/add up to 180. x+12+110=180. Solved: x=58
Number 5: Same side interior angles. I cant make out the exact numbers on the picture, but basically you add them together and set that equal to 180, then solve like i did above.
Number 6: Alternate interior, so just set them equal to eachother and solve.
Number 7: Same side interior, so add them and set the whole thing equal to 180 like in number 4. Answer: x=10
Number 8: Alternate interior, so just set them equal to eachother. Answer: x=20
Hopefully this helped you understand better, have a great day!
Suppose n balls are distributed randomly into n compartments.
What is the probability that m balls will fall into the first compartment? Assume all the n arrangements are equally like.
The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).
The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.
Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.
The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:
P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)
This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).
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Determine the simplified expression used to represent the perimeter of the rectangle.
HELP I TEST IS ABOUT TO END
-2x+14
30
CAN YOU HELP ME FAST PLEASE
Q 1 ans supplementary
Q2 ans congurent
Q3 ans neithee
The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll
The total change in the consumed quantity of x₁ as per given price and income is equal to 213.
x₁ = (21/7)P₁
x₂ = (51/7)P₂
P₁ = 10
P₂ = 5
P₁' = 81
To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',
The difference between the quantities consumed at the original price and the new price.
Let's calculate the quantity consumed at the original price,
x₁ orig
= (21/7)P₁
= (21/7) × 10
= 30
x₂ orig
= (51/7)P₂
= (51/7) × 5
= 36.4286 (approximated to 4 decimal places)
Now, let's calculate the quantity consumed at the new price,
x₁ new
= (21/7)P1'
= (21/7) × 81
= 243
x₂ new
= (51/7)P2
= (51/7) × 5
= 36.4286
The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,
Change in x₁
= x₁ new - x₁ original
= 243 - 30
= 213
Therefore, the total change in the quantity consumed of x₁ is 213.
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The above question is incomplete, the complete question is:
The optimal amount of x1, x2, P1, P2 and income are given by the following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?
Please answer step by step