Step-by-step explanation:
square of 8 is 64 and square of the 6 is 36
8^2= 8*8=64
6^2= 6*6=36
Question 4 The average value of the function f(x) = 10+ √104 ... =3 ln( 2 0.3 In (20+2√104) O... 0.1 ln (24 + 3√104) .= 0.3 In (10 + √/104) 2 3 √x² + 4 on the interval [0,10] is... 1 pts
The average value of the function f(x) = 10+ √104 ... =3 ln( 2 0.3 In (20+2√104) O... 0.1 ln (24 + 3√104) = 0.3 In (10 + √/104) 2 3 √x² + 4 on the interval [0,10] is (1/10) ∫[0, 10] (10 + √(104x² + 4)) dx.
To find the average value of the function f(x) = 10 + √(104x² + 4) on the interval [0, 10], we can use the formula:
Average value = (1/(b-a)) ∫[a, b] f(x) dx, where [a, b] represents the interval [0, 10].
Substituting the given function f(x) = 10 + √(104x² + 4) into the formula, we have:
Average value = (1/(10-0)) ∫[0, 10] (10 + √(104x² + 4)) dx.
Simplifying, we get:
Average value = (1/10) ∫[0, 10] (10 + √(104x² + 4)) dx.
To evaluate this integral and obtain the exact average value, we need to calculate the antiderivative of the integrand. However, due to the complexity of the function, it may not be possible to find a simple closed-form expression for the antiderivative. In such cases, numerical methods or approximation techniques can be employed to estimate the average value.
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Pls help i need this by the end of today
The average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
What is the average rate of change?The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.
Given that, the total cost to produce by James shirts is represented by a function, f(x) = 5x²+6.
We are to find the average rate of change of the total cost as his shirt production increases from 10 to 20.
The average rate of change is given by =
f(b) - f(a) / b-a, where a and b are given intervals,
Here, we have, a = 10 and b = 20
f(b) = 5(20)²+6 = 2006
f(a) = 5(10)²+6 = 506
The rate of change =
2006 - 506 / 20-10
= 1500 / 10
= 150
Hence, the average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
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Gabby bought 10 boxes of raisins. She got a total of 2 1/2 cups of raisins. How many cups of
raisins were in each box?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/4 cup in each box
Step-by-step explanation:
Divide 2 1/2 by 10
Change the the 2 1/1 to an improper fraction which is 5/2
then divide
5 10 5 1
-- ÷ --- Change that to --- x --- = 1/4
2 1 2 10
Identify this system of equations:
y=4x-4
y=-4x+4
A. Consistent and Independent
B. Consistent and Dependent
C. Inconsistent
And also, this question isn't required, but if the 2 slope-intercept forms are opposite, do they equal each other. (Like the question above, 4x-4+ and -4x+4)
The system is consistent and independent.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have the system of equations:
y = 4x - 4
y = -4x + 4.
Let's take the quotient between both the equations as;
(y/y) = (4x - 4)/(-4x + 4)
1 = (4x - 4)/(-4x + 4)
Solve for x;
1*(-4x + 4) = 4x - 4
-4*x + 4 = 4x - 4
-4x - 4x = -4 - 4
-8*x = -8
x = -8/-8 = 1.
To find the value of y, we can input this value of x in one of the equations:
y = 4 x1 - 4 = 0.
Then we have only one solution, (1, 0).
Therefore, the system is consistent and independent.
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HELP ME WITH THIS PLEASE
Answer:
55
Step-by-step explanation:
the next number that would be symmetric is 16061.
we subtract the numbers 16061-15951 to find the amount of miles travelled in two hours. this is 110
divide 110 by 2 to find the average mph rate. this is 55
the minimum average speed is 55
hope this helps
if the information 7/15 was shown on a pie chart what would be the angle
The question asks about converting a fraction into an angle for a pie chart. You multiply the fraction (7/15) by the total degrees in a circle (360 degrees) which gives you approximately 168 degrees.
Explanation:The subject is tied to the understanding of how data is represented in pie charts, specifically how fractions or percentages can be expressed in terms of angles in a pie chart. This question pertains to the interpretation of pie charts in mathematics, more specifically to fundamental aspects of geometry and data representation.
First, we must understand that a pie chart is a circular chart divided into sectors or 'pies', where the arc length of each sector (and consequently its central angle and area), is proportional to the quantity it represents. So the total measurement for a pie chart is 360 degrees - the same as a full circle. When you have a fraction like 7/15, it represents a portion of the whole. To convert this fraction into an angle for the pie chart, we need to multiply it by the total degrees in a circle.
So, the calculation would be (7/15) * 360. When you do the math, you get around 168 degrees. So if the information 7/15 was shown on a pie chart, it would open up an angle of approximately 168 degrees.
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State the solutions of the equation |x| + 2 = 4.
I think thats 2
Because 2+2=4
you and a friend each roll two dice. what is the probability that you both have the same two numbers? (the two cases are whether you role doubles or not)
The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.
If you and your friend each roll two dice, there are two possible cases:
You both roll doubles (i.e., both dice show the same number).
You both roll non-doubles (i.e., the two dice show different numbers).
Let's calculate the probability of each case separately:
The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.
The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.
Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:
1/1296 + 625/1296
= 626/1296
= 0.4823 (rounded to four decimal places)
So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.
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\(at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.\)
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.
In ΔXYZ, XY = 6.32, YZ = 5.83, and XZ = 11.05.m∠Y =
The measure of angle Y is approximately equal to 117.11 degrees. Therefore, m∠Y = 117.11°.
Given that a triangle ΔXYZ has the sides XY = 6.32, YZ = 5.83, and XZ = 11.05, we need to find the measure of angle Y.
Let's use the cosine law which states that c² = a² + b² - 2abcosC
where a, b, and c are the sides and C is the angle between the sides a and b.
Applying the cosine law to triangle ΔXYZ and substituting the given values, we have:
11.05² = 6.32² + 5.83² - 2(6.32)(5.83)cos Y
cos Y = (6.32² + 5.83² - 11.05²) / (2(6.32)(5.83))
cos Y ≈ -0.4151
Taking the inverse cosine on both sides, we get:
m∠Y = cos⁻¹(-0.4151)
m∠Y = 117.11°
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PLEASE HELP I WILL GIVE BRAINLIEST!
The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
A.
(5, 7)
B.
(5, 11)
C.
(9, 1)
D.
(13, 3)
Answer:
i think d is the correct one
Answer:
It's be 5,11
Step-by-step explanation:
Can someone please explain this question to me?
The image is attached.
Answer:
13
Step-by-step explanation:
Given the expression;
2 1/3 : 4 1/3 = 7 : x
Wea re to look for x;
Convert to improper fractions;
7/3 : 13/3 = 7:x
7/3 * 3/13 = 7/x
7/13 = 7/x
Cross multiply
7x = 13 * 7
7x = 91
x = 91/7
x = 13
Hence the unknown value is 13
10x + 7y = –8
7x + 7y = –14
Answer: x= -22/3, y= -28/3
Step-by-step explanation:
I need help please
Which value is the closest to
0.9 • 997
a. 1,000
b. 81
c. 10,000
d. 10
Answer with supporting work:
Leaping deer company purchased a tractor at a cost of $440,000. The tractor has an estimated residual value of $40,000 and an estimated life of 8 years, or 12,000 hours of operation. The tractor was purchased on january 1, 2015 and was used 2,400 hours in 2015 and 2,200 hours in 2016. What amount will leaping deer company report as total depreciation expense over the 8-year life of the equipment using straight-line depreciation?.
Leaping deer company purchased a tractor at a cost of $440,000. The tractor has an estimated residual value of $40,000 and an estimated life of 8 years, or 12,000 hours of operation. The tractor was purchased on January 1, 2015 and was used 2,400 hours in 2015 and 2,200 hours in 2016.
To find out which method of depreciation will produce maximum depreciation, Depreciation expense for 2018 shall be calculated using all methods.
1) Double-declining balance method: Under this method, depreciation is charged to an accelerated rate to the asset by applying double depreciation instead of a regular depreciation rate. This rate is applied to the value of the depreciable assets.
Depreciable Value of Tractor = Gross Value - Salvage Value = $240,000 - $40,000 = $200,000
The regular rate of depreciation = 100% / Life of Tractor = 100% / 8 Years = 12.5%
Double-declining rate of depreciation = Regular rate X 2 = 12.5 % X 2 = 25%
Depreciation expense for 2018 = Depreciable value of tractor X Dobule-decling rate
= $200,000 X 25%
= $50,000
Depreciation expense as per double-declining method = $50,000
2) Straight-line method: Under this method, the value of the depreciable asset is spread over the useful life of the asset evenly.
Depreciation for 2018 = Useful life of Tractor / Useful life
= $200,000 / 8 Years
= $25,000
Depreciation expense as per straight line method = $25,000
3) Units of production method: Under this method, the depreciable value of assets is depreciated with the level of usage with respect to the overall capacity of assets with respect to usage. Hence, more usage shall lead to higher depreciation.
Total hours available during the life of asset = 12,000
Depreciation to be charged for each hour of usage = Depreciable value / Total hours
= $200,000 / 12,000 Hours
= $16.67 per hour
Depreciation for 2018 = Total hours of usage in 2018 X Depreciation per hour
= 3,800 Hours X $16.67
= $63,346
Depreciation under units of production method = $63,346.
Hence, Highest amount of depreciation is produced under units of production method as tractor has been used for more than one-third of its usage hour capacity. As the other two methods do not take into account the level of usage, their depreciation is just based on time. Hence, Depreciation under the unit production method is highest.
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Hello need help with this thanks!
g(r) = -1 - 77
g(6)=
Answer:
g(6) = -1 -77
because the expression doesn't have r
Step-by-step explanation:
Please Hurry!!! Which value is a perfect square?
15
25
40
60
Answer: 25
Step-by-step explanation: 5x5 = 25
plz mark branilyest
Answer: 25
Step-by-step explanation: A perfect square is a number that can be expressed as the product of two equal integers. hope this helps
An online clothing company sells custom sweatshirts. The company charges $3.50 for shipping plus $5.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
The linear equation of the total cost of sweatshirts is y = 3.5 + 5.5x
How to determine the linear equation?The given parameters are:
Charges = $3.50 for shipping
Each sweatshirt = $5.50
The linear equation of the above parameters is represented as
Total (y) = Charges + Each sweatshirt * Number of sweatshirts (x)
Substitute the known values in the above equation, so, we have the following representation
y = 3.5 + 5.5x
Hence, the equation is y = 3.5 + 5.5x
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reflect point C(-3, 1) over line y=5
After reflect over line y = 5, the point is (-3, 9).
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The point = (- 3, 1)
Here, The point C (-3, 1) over line y = 5.
We know that;
The reflection of point (a, b) wrt line y = k is point (a, 2k -b).
Hence, The reflection of point (-3 ,1) wrt line y = 5 is,
⇒ Point = (-3, 2 × 5 - 1)
= (-3, 9)
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what value of x makes x -4 = -2 a true statement a.6 b.2 c.-2 d.-6
Answer:
I think the answer is 2
Answer:
b) 2
Step-by-step explanation:
x-4= -2
2-4= -2
hope it will help you......
in the number 9,999.999, what is the difference between the 9 in the thousands place and the 9 in the place to the right?
Answer:
The 9 in the thousands place equals a thousand (9,000) and the place to the right equals a hundred (900).
Step-by-step explanation:
Answer:
Step-by-step explanation:
9000 - 900
= 8100
URGENT: magine that we are measuring rain fall with a rain gauge. After 1 hour of rain there is 1 inch of rain in the gauge. After 5 hours, there is 7 inches of rain in the gauge. Create a linear model to represent this situation, be sure to define your variable
Answer:
T = 1 + 1.5x
Step-by-step explanation:
Based on the information provided and we can subtract the time and rain gauge at the end of the data with the time and rain gauge at the beginning. This tells us that in 4 hours the rain increased by 6 inches. If we divide these two values we get.
6 inches / 4 hours = 1.5 inches per hour
We now see that rain has been accumulating at a rate of 1.5 inches per hour. We can use this info to create a linear model where we multiply this rate by the number of hours that have passed (x) after 1 hour which would give us the total amount of rain (T)
T = 1 + 1.5x
Carter works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Carter make in a week in which he made $1750 in sales? How much would Carter make in a week if he made xx dollars in sales?
Answer:
$837.5
Step-by-step explanation:
Step one:
given data
He makes a guaranteed salary of $400 per week
Commision on top of his base salary equal to 25% of his total sales for the week
Required
His total salary when he made sales of 25%
Step two
let us solve for 25% of $1750 made
=25/100*$1750
=0.25*$1750
=$437.5
Hence his total payment for the week will be
=$400+$437.5
=$837.5
Also, if the sales is $x his pay would be
let y be his pay
y=0.25x+400
a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?
Answer:
1/3 or 33%
Step-by-step explanation:
15 + 15 + 20 +25 is equal to 75
25/75 is 1/3
Answer:
1 by 3
Step-by-step explanation:
15 + 15 + 20 + 25 = 75
so,
again,
25 divided by 75 is equal to 1 by 3Calculate x in the following ratio: x:12 =6:3
Answer: \(x=24\)
Step-by-step explanation: Since the ratio of 6:3 is a 2:1 ratio simplified, you know that x will need to double the value on the other side. Therefore, you can just multiply 12 by 2 to get the x-value which is 24. Another method is to see that the 3 on the other side of the ratio is 1/4 the value of 12. This means that the 6 is 1/4 the value of x. if you multiply 4 on both sides x=24. Those are the two methods I recommend you use to solve these ratio problems.
\(\huge\text{Hey there!}\)
\(\large\textsf{Equation:}\\\\\large\boxed{\mathsf{6:3}}\\\\\large\textsf{Simplifying for:}\\\\\large\boxed{\rightarrow \mathsf{x:12}}\\\\\large\textsf{Simplifying:}\\\\\large\boxed{\mathsf{\rightarrow 6\times 4: 3\times4}}\\\\\large\boxed{\mathsf{\rightarrow{24:12}}}\\\\\\\huge\text{Therefore your answer should be: }\\\huge\boxed{\mathsf{\bold{24}:12}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Compare lengths. Write >, <, or = .
5 ft 3 in. and 64 in.
Answer:
<
Step-by-step explanation:
Line p passes through (8,-6) and is perpendicular to the line 2x+y=-7.
The slope of line p is?
A- -2
B- -1/2
C- 1/2
D- 2
(How do I solve to find slope)
Answer:
C) 1/2
Step-by-step explanation:
The slope of a perpendicular line is the negative inverse.
First, convert the given line to slope-intercept form.
2x + y = -7
y = -2x − 7
The slope of this line is -2. So the slope of the perpendicular line is:
m = -1 / (-2)
m = 1/2
Solve this multi step equation: 7j + 20 = 3j + 40
Answer:
j=5
Step-by-step explanation:
7j+20=3j+40
Step 1: Subtract 3j from both sides.
7j+20−3j=3j+40−3j
4j+20=40
Step 2: Subtract 20 from both sides.
4j+20−20=40−20
4j=20
Step 3: Divide both sides by 4.
4j/4
20/4
j=5
Answer:
j=5
Answer: j = 5
Solve this multi step equation: 7j + 20 = 3j + 40
First step: bring the numbers that don't have a variable on the other side of the equal sign.
7j - 3j = - 20 + 40
*TIP: REMEMBER: when you have a positive number, and you bring it on the other side of the equal sign, it becomes negative; same thing with a negative number. When you have a negative number, and you bring it on the other side of the equal sign, it becomes positive.*
Second step: Solve the equations on both sides.
4j = 20
Final step: (this step is easy) divide 20 by 4
20/4 = 5;
Therefore, j = 5.
Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6