Answer:
6 fruits per hour.
Step-by-step explanation:
If you think of these as fraction, 2/12 is the same as 1/6. If you multiply the hours and fruit count by 7, you get 7/42. They are the same fractions. This means 1/6 represents 6 fruits every hour.
Inx 17. Evaluate the integral (show clear work!): S * dx
14. Write an expression that gives the area under the curve as a limit. Use right endpoints. Curve: f(x) = x? from x = 0 to x = 1. Do not att
The integral ∫[0 to 1] x² dx evaluates to 1/3.
To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.
To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.
Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².
To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.
In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.
Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.
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Find the 50th term of 6,12,18,24
Answer:
300
Step-by-step explanation:
You simply multiply 50 and 6. I hope you have a nice day. :)
Answer:
300 :3
Step-by-step explanation:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 50 = 300
Given circle O , m∠EDF=31° . Find x .
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer: The answer is D 2,6000.00
Answer:
D
Step-by-step explanation:
A back patio has 127ft^2127 f t 2 of area in Brad's yard. If his patio is perfectly square, what is the side length of the patio? Round your answer to the nearest hundredths place. Group of answer choices 11.27 feet 11.3 feet 11 feet 11.25 feet
Answer:
The length of side of patio is 11.27 feet.
Option A is correct option.
Step-by-step explanation:
Area of patio = 127 ft^2
We need to find side length of the patio.
Since the patio is square, the formula used is:
\(Area\: of\: square = l^2\)
where l is the side length of square.
Now, putting value of area we can find area of square.
\(Area\: of\: square = l^2\\127=l^2\\Switching\:sides\:\\l^2=127\\Taking\:square\:root\:on\:both\:sides\\\sqrt{l^2}=\sqrt{127} \\l=11.27\)
So, the length of side of patio is 11.27 feet.
Option A is correct option.
You leave home and walk 3 blocks east, then 4 blocks north. How far are you from
home?
Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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Find the areas of the sectors formed by NMP. Round your answer to the hundredth of a square centimeter.
Consider that the area of a sector of a circle is given by:
\(A=\frac{\theta}{360}\pi r^2\)where θ is the angle of the sector and r is the radius.
For θ=40 and r = 8cm, you obtain:
\(A=\frac{40}{360}\pi(8cm)^2=22.34cm^2\)The area of the small sector is about 22.34 cm^2.
Now, for θ=320 and r = 8cm, you obtain:
\(A^{\prime}=\frac{320}{360}\pi(8cm)^2=178.72cm^2\)The area of the small sector is about 178.72 cm^2.
What is the ratio of rise to run between the points (-2, 8) and (4, -3)?
Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6
To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.
Given points:
Point 1: (-2, 8)
Point 2: (4, -3)
Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11
Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6
Therefore, the ratio of rise to run can be calculated as:
Ratio of rise to run = Rise / Run = -11 / 6
Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.
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Rewrite in simplest radical form, thx :)
Answer:
The answer is
\( \sqrt[3]{ {x}^{2} } \)
Step-by-step explanation:
\( \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } \)
Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have
\( {x}^{ \frac{5}{6} - \frac{1}{6} } \)
\( {x}^{ \frac{4}{6} } \)
\( = {x}^{ \frac{2}{3} } \)
Rewriting it in radical form
We have the final answer as
\( \sqrt[3]{ {x}^{2} } \)
Hope this helps you
15 points please help me (scatterplot)
i believe the correct ones are...
1
3
5
7
In parallelogram HJKL IF KLH=125 find LHJ
Step-by-step explanation:
L+H=180
H=180-125
H=55
the proporties of parallelogram
consecutive angle of parallelogram are supplementary
What is the slope of a line parallel to the line whose equation is 12x+2y=24Fully simplify your answer.
Answer:
The slope is -6
Step-by-step explanation:
12x+2y=24
We want to find the slope of a line that is parallel to this line.
Parallel lines have the same slope, so we need to find the slope of this line.
We can get this equation in slope intercept form to find the slope
y = mx+b where m is the slope
Subtract 12x from each side
2y = -12x+24
Divide each side by 2
y = -12x/2 +24/2
y = -6x+12
The slope is -6
Help with geometry homework with rectangles. Quadrilateral ABCD is a rectangle. Which of the following must be true? Choose all that apply.
A and C are the two true statements.
Im struggling with this one please help, thank you!
Answer:
use mathaway, trust me it'll help
Answer:
transitive property of congruent angles
Step-by-step explanation:
if x=y and y=z, then x=z
If you increase the confidence level, the confidence interval:A. decreasesB. may increase or decrease, depending on the sample dataC. stays the sameD. increases
If you increase the confidence level, the confidence interval increases. therefore the correct answer is option D. increases
When you increase the confidence level, the confidence interval increases as well. The confidence level represents the degree of certainty or level of confidence that the true population parameter lies within the calculated interval.
A confidence interval is constructed based on sample data and is influenced by two main factors: the level of confidence desired and the variability within the data.
By increasing the confidence level, you are requesting a higher level of certainty that the population parameter falls within the interval.To achieve a higher level of confidence, the interval needs to widen to encompass a larger range of possible values. This increase in the width of the interval reflects the increased level of certainty desired, allowing for a larger margin of error and a wider range of plausible values for the population parameter.
Therefore, when you increase the confidence level, the confidence interval increases in width.
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is the sample mean for these data more or less descriptive as a center of location than the trimmed mean?
(a) The sample size for the above sample is 15.
(b) The sample mean for these data is 3.8.
(c) The sample median is 3.6.
(d) To compute the 20% trimmed mean for the above data set is 3.7.
(e) The sample mean is less descriptive as the location's center (median) than the trimmed mean.
The following measurements were recorded for the drying time, in hours
3.4 2.5 4.8 2.9 3.6 is:
2.8 3.3 5.6 3.7 2.8
4.4 4.0 5.2 3.0 4.8
(a) We have to determine the sample size for the above sample.
The number of participants or observations included in a study is referred to as the sample size. This number is commonly represented by the symbol n.
Sample Size (n) = 15
(b) We have to calculate the sample mean for these data.
Sample Mean = Total Sum of data/Total Number
Sample Mean = (3.4 + 2.5 + 4.8 + 2.9 + 3.6 + 2.8 + 3.3 + 5.6 + 3.7 + 2.8 + 4.4 + 4.0 + 5.2 + 3.0 + 4.8)/15
Sample Mean = 56.8/15
Sample Mean = 3.8
(c) We have to calculate the sample median.
To define the sample median we first represent the data in ascending order.
2.5, 2.8, 2.8, 2.9, 3.0, 3.3, 3.4, 3.6, 3.7, 4.0, 4.4, 4.8, 4.8, 5.2, 5.6
Sample Size(n) = 15
So Median = (n+1)/2th term
Median = (15 + 1)/2th term
Median = 16/2th term
Median = 8th term
So the 8th term in the given data is 3.6. So,
Median = 3.6
(d) We have to compute the 20% trimmed mean for the above data set.
To compute the 20% termed mean, remove 20% of the largest and 20% of the smallest elements from the sample and compute the mean of the new sample.
New sample: 2.9 3.0 3.3 3.4 3.6 3.7 4.0 4.4 4.8
New Mean = 33.3/9
New Mean = 3.7
(e) We have to check is the sample mean for these data more or less descriptive as a center of location than the trimmed mean.
The mean value is 3.8, the median value is 3.6, and the trimmed mean value is 3.7. As a result, the sample mean is less descriptive as the location's center (median) than the trimmed mean.
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The complete question is:
The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint.
3.4 2.5 4.8 2.9 3.6
2.8 3.3 5.6 3.7 2.8
4.4 4.0 5.2 3.0 4.8
Assume that the measurements are a simple random
sample.
(a) What is the sample size for the above sample?
(b) Calculate the sample mean for these data.
(c) Calculate the sample median.
(d) Compute the 20% trimmed mean for the above data set.
(e) Is the sample mean for these data more or less descriptive as a center of location than the trimmed mean?
A survey was conducted about real estate prices. Data collected is 181386,243922,355008,406791,542820,648303,782200 , 845053,924494,1089774,1175704,1274928,1308954 . What is the median price
The median price from the given data is 648,303.
To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.
Let's arrange the data in ascending order:
181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954
There are a total of 13 data points, which is an odd number. So, the median price is the middle value.
The middle value is the 7th value:
Median Price = 648,303
Therefore, the median price from the given data is 648,303.
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PLEASE HELP ME NOW!!!! 100 POINTS!!!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
7 balls
12 balls
48 balls
Answer: 12 balls i think
Answer:
answer is 12
Step-by-step explanation:
i took the quiz.
Solve for b.
-14b + 1
4
<3 or b - 15 - 15b > 1
Write your answer as a compound inequality with integers, proper fr
fractions in simplest form.
or
Answer:
Step-by-step explanation:
Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch
Answer:
B. Arm circles
Hope you have a great day :)
The appropriate test for a comparison a group of 10 dogs and group of 10 cats is?
The T - Test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
According to the statement
we have to explain and tell bout the those test which is appropriate for the comparison of the group of 10 dogs and group of 10 cats.
So, For this purpose, we know that the
The test used on this are the those test for the applicable on th etwo groups.
So, We know that the
A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.
here the t test is used for the two samples.
So, The T - Test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
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Find the remainder when (2x^2 +2x+1) is divided by ( x+1)
Use the remainder theorem, which says the remainder upon dividing a polynomial \(p(x)\) by \(x-c\) is exactly \(p(c)\). In this case,
\(p(x)=2x^2+2x+1\)
\(c=-1\)
\(\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}\)
The graph of y = f(x) is shown below. Find all values of x where f(x) = 0
Graphs are used to show the relationship between two variables (usually x and y). The values of x when \(f(x) = 0\) are 2 and 8
The graph of y = f(x) is given
To get the values of x when \(f(x) = 0\), we simply consider where the line of the graph crosses the x-axis.
The graph crosses the x-axis at:
\(x = 2\)
\(x = 8\)
This means that the values of x when \(f(x) = 0\) are 2 and 8
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4x^2y-6xy
8x^2-12xy
5x(3x+1)-2(1+3x)
Answer:
......
Step-by-step explanation:
.........
A moving company drove one of its trucks 100,042 miles one year. A second truck was driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles were driven by all three trucks?
reflect across the y axis
Answer:
See below
Step-by-step explanation:
Plot these points and that will be the reflection:
S is going to equal (3,1)
R is going to equal (-3,3)
T is going to equal (-1,-5)
Q is going to equal (-4,-2)
Let me know if you need help plotting points too.
Help me solve these math problems please. I really need help!
The value of x and y in the equations are are -2 and -1, 1 and 6, 10/6 and -1/3
What is simultaneous equation?Simultaneous equations are two or more algebraic equations that share common variables and are solved at the same time.
y=x+1 and y=4x +7
x+1=4x +7
Collecting like terms
x-4x = 7-1
-3x=6
x=-2
For the value y
y=-2+1
y = -1
For equation 2
3x -y =-1
y=-x+5
3x-(-x+5)=-1
3x+x-5=-1
4x=-1+5
4x=4
Therefore; x=1
For the value y
y= 1+5
y=6
For equation 3
x+2x=3
-x+3y = 7
x=3-2y
-(3-2y) +3y =7
-3+2y+3y=7
6y = 7+3
6y==10
y=10/6
For the value of x
x = 3+20/6
Simplifying to have -2/6 -1/3
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Write the following linear equation in function notation. y = 2x + 5
Answer:
y=mx+b
It's already in function notation. Unless you need to graph it or show it.