Answer:
Step-by-step explanation:
what is the relationship between the values of the two 4s in the weight of the potatoes?
The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
How to illustrate the information?In this case, the weight of a potato is given as 3.441g.
It should be noted that the first 4 is in the tenth place and is written as 0.4.
On the other hand, the second 4 is in the hundredth place. The value is 0.04.
Therefore, the relationship between the numbers will be:
= 1/10 × 1/10 = 1/100
Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?
to obtain a smaller margin of error choose a larger confidence level. choose a smaller confidence level.om/input?i
To obtain a smaller margin of error, choose a smaller confidence level.
Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.
MOE = z x (SD / √n)
where MOE = margin of error
z = found by using a z-score table
SD = sample standard deviation
n = sample size
Based on the formula, to reduce the margin of error, the z-score, z, must be small. In order to have a smaller value of z, the probability, p, should also be small. And to obtain a small probability, choose a smaller confidence level.
Hence, to reduce the margin of error, use a lower confidence level.
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Which point is on the graph of f(x)=2x5^x
Select all the solutions to this equation. X2 = 121 x = 11 x = 21 x = 61 x = –11 x = –21
In quadratic equation (-11)2 = 121, the solution is actually both x = 11 and x = -11.
What in mathematics is a quadratic equation?
x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:
√x² = √121
x = √121
You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.
In essence, each real number has both a positive and a negative square root.
Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.
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Carlton goes grocery shopping over the weekend. He wants to buy the apples that get him the better deal. Which apples should he buy (5 lbs or 8lbs)? The 5lbs is $2.99 and the 8lbs is $5.25.
Subtract 85 - 43. Simplify the answer and write as a mixed number?
Answer:
42
Step-by-step explanation:
farmer ann wishes to build a rectangular fence which encloses a total area of 600 square feet. the fence must include an internal divider, as shown. what is the minimal total length of fencing that this project will require?
The minimal total length of fencing required for the project is 100√6 feet.
To find the minimal total length of fencing required for Farmer Ann's rectangular fence, we need to consider the dimensions of the fence.
Let's assume the length of the rectangle is L and the width is W. Since there is an internal divider, we can divide the rectangle into two equal halves, each with dimensions L/2 and W.
The total area of the fence is given as 600 square feet, so we have the equation:
(L/2) * W = 600
To minimize the total length of fencing, we need to find the dimensions that satisfy the above equation while minimizing the perimeter.
To do that, we can express one variable in terms of the other. Solving the equation for W, we get:
W = (600 * 2) / L
Now we can express the perimeter P in terms of L:
P = L + 2W = L + 2((600 * 2) / L)
To find the minimum perimeter, we need to find the critical points by taking the derivative of P with respect to L and setting it equal to zero:
dP/dL = 1 - 2(1200 / L^2) = 0
Solving for L, we get L = sqrt(2400) = 40√6.
Now we can substitute this value of L back into the equation for W:
W = (600 * 2) / (40√6) = 30√6.
Finally, we can calculate the minimal total length of fencing by adding the lengths of all sides:
Total length = L + 2W = 40√6 + 2(30√6) = 40√6 + 60√6 = 100√6.
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Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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find the area of the region bounded by the parabola y = 2x2, the tangent line to this parabola at (2, 8), and the x-axis.
The area of the region bounded by the parabola y = 2x^2, the tangent line to this parabola at (2, 8), and the x-axis can be found by calculating the definite integral between the points of intersection.
To find the area of the region, we first need to determine the points of intersection between the parabola and the x-axis. The parabola y = 2x^2 intersects the x-axis when y = 0. Setting y = 0, we can solve the equation 2x^2 = 0 to find that x = 0. Therefore, the parabola intersects the x-axis at the point (0, 0).
Next, we find the equation of the tangent line to the parabola at the point (2, 8). Taking the derivative of the parabola equation, we get dy/dx = 4x. Evaluating the derivative at x = 2, we find the slope of the tangent line is m = 4(2) = 8. Using the point-slope form of a line, we have y - 8 = 8(x - 2), which simplifies to y = 8x - 8.
To find the area of the region bounded by the parabola, the tangent line, and the x-axis, we calculate the definite integral of the absolute value of the difference between the two curves between their points of intersection. In this case, we integrate the expression |(2x^2) - (8x - 8)| between x = 0 and x = 2 to find the area of the region.
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At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.
Answer:
\( \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet\)
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
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find the designated angels in each diagram
The values of all 3 angles are:
x = 95°y = 65°z = 115°What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. Based on the measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, we know that ∠AOB is s straight angle (180°).
Then,
x - 30 + x + 20 = 1802x - 10 = 1802x = 180+ 102x = 190x = 95°Now, solve for straight angle ∠DOC with x = 95°:
z + x - 30 = 180z + 95 - 30 = 180z + 65 = 180z = 180 - 65z = 115°Similarly, solve for straight angle ∠AOB with z = 115°:
z + y = 180115 + y = 180y = 180 - 115y = 65°Therefore, the values of all 3 angles are:
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Melissa Cambell is married, earns $628 week, amd claims 5 allowances. What is the Federal Income Tax Withheld?
Answer:
Step-by-step explanation:
A restaurant plans to use a new food delivery service. the food delivery service charges $5.92 for every 2 meals delivered, plus a $2.50 service fee. what is the slope of this situation?
Answer:
Step-by-step explanation:
The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
PLEASE HELP I NEED THIS ASAP.
solve the following equation for the value of x. SHOW UR WORK!!
Answer:
I need points ill answer in a seconds
Step-by-step explanation:
lol
Answer:
x = -8
Step-by-step explanation:
-3( -4x - 1) = - 93
- 4 x -1 = -93/ - 3
-4x -1 = 31
-4x = 31+1
-4x = 32
x = 32/-4 = - 8
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8. An outlier is going to be added to a data set. Which is most likely to occur? A. an increase in the MAD, but not the IQR B. a decrease in the MAD, but not the IQR C. an increase in the IQR, but not the MAD D. a decrease in the IQR, but not the
Answer;
It causes an increase in the MAD, but not the IQR
Explanation;
Mathematically, we know that an outlier in a dataset represents a value that is at least 2 standard deviations away from the mean value
While MAD represents the mean absolute deviation, IQR represents the interquartile range
It is expected that the outlier affects the value of the standard deviation
By calculating the MAD, we have to subtract values from the mean and square them and this makes the mean absolute deviation affected by the outlier
Hence, we can conclude that the presence of an outlier increases the mean absolute deviation
For the interquartile range, it only moves the lower quartile and the upper quartile same way and thus, it has no effect on it
A new backpack costs $45.00 plus 7.4% for sales tax. Find the amount of tax you would have to pat for the backpack.
Answer:
$48.33
Step-by-step explanation:
1. Find the amount of the sales tax by multiplying the tax percentage by the sales price.
$45 × 7.4% = $3.33
2. Add the amount of the sales tax back to the sales price.
$45.00+$3.33 = $48.33
What is the slope of the line in the graph?
how do I find the volume?
Answer:
Width x length
Step-by-step explanation:
Find the width or how wide it is
Then find the length or how long it is
multiply those
Help, I need to answer this question
Answer:
Step-by-step explanation:
factors of 8
Answer:
F- of a 8* i think
Step-by-step explanation:
what special characteristics did mahavira share with paul mcCartney?
Answer:
both vegetarians
Step-by-step explanation:
Consider a circular function that tracks the height, h, of a point traversing a unit circle centered at (0,0), h=f(d) where d is the distance traveled around the circle from the starting point (1, 0). What is the exact value of f(pi)?
The exact value of f(pi) is 0 since when the point on the unit circle has traveled pi distance from its starting point (1,0), it will be at the same height as the starting point.
Let us consider a point on a unit circle centered at (0,0), starting at the point (1,0) and moving around the circle for a distance d. As the point moves around the circle, its height, h, above the x-axis will vary. To find the exact value of f(pi), we need to determine the height of the point when it has traveled a distance of pi around the circle.
When the point has traveled half the distance around the circle, i.e., pi/2, it will be at the point (-1,0), and its height will be 0 since it is on the x-axis. As the point continues to move around the circle, its height will increase until it reaches its maximum height at the point (0,1), where its height is 1.
As the point continues to move around the circle, its height will decrease until it reaches point (1,0), where its height is again 0. Therefore, f(pi) is equal to the height of the point when it has traveled a distance of pi around the circle, which is equal to the height of the point when it is at the point (1,0). Thus, f(pi) = 0.
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Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m
The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.
Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use.
Answer: 30 inches
Step-by-step explanation:
Here is the complete question:
Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?
From the question, we are informed that Caleb needed 2 boards that were each 6 inches long and one board that was 18 inches long.
The total length of the boards that he needed goes thus:
For the first part, we are told that Caleb needed 2 boards that were each 6 inches long. This means that he needs a total of (2 × 6 inches) = 12 inches.
We are also told that he needed one board that was 18 inches long. This mean the total length of the birds needed will be the addition of the length of all the three boards. This will be:
= 12 inches + 18 inches
= 30 inches
Let P be the statement "For all x, y E Z,if xy= 0,then x= 0 or y= 0."
(a) Write the negation of P.
(b) Write the contrapositive of P.
(c) Prove or disprove P.
(d) Write the converse of P. Prove or disprove.
For #16, use the result of problem 15
Let's consider the statement P: "For all x, y ∈ Z, if xy = 0, then x = 0 or y = 0."
(a) The negation of P is: "There exist x, y ∈ Z such that xy = 0 and x ≠ 0 and y ≠ 0."
(b) The contrapositive of P is: "For all x, y ∈ Z, if x ≠ 0 and y ≠ 0, then xy ≠ 0."
(c) To prove P, consider the original statement. If xy = 0 and either x or y is nonzero, then the product of the nonzero integer with the zero integer must be zero. Since the product of any integer and zero is always zero, the statement P holds true.
(d) The converse of P is: "For all x, y ∈ Z, if x = 0 or y = 0, then xy = 0." To prove the converse, consider the two cases where either x or y is zero. If x = 0, then xy = 0 * y = 0. If y = 0, then xy = x * 0 = 0. In both cases, the product xy is zero, proving the converse to be true.
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the process of using sample statistics to draw conclusions about population parameters is called: group of answer choices calculating the confidence level. calculating descriptive statistics. finding the significance level. doing inferential statistics.
Option D. Doing inferential statistics. Inferential statistics is the process of using sample statistics to draw conclusions about population parameters.
This involves making inferences about a population based on data collected from a sample, and using statistical methods to estimate the true values of population parameters, such as the mean or proportion.
Descriptive statistics, on the other hand, involves summarizing and describing the characteristics of a sample or population, without making any inferences about the larger population.
Calculating the confidence level and finding the significance level are important components of inferential statistics, as they help to assess the accuracy and reliability of the estimates made based on the sample data. However, these are not the primary processes involved in using sample statistics to draw conclusions about population parameters.
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The process of using sample statistics to draw conclusions about population parameters is called: group of answer choices
A. Calculating the confidence level.
B. Calculating descriptive statistics.
C. Finding the significance level.
D. Doing inferential statistics.
what is the age of Alps mountain
Step-by-step explanation:
The Alps were born 770 million years ago.
Hope this helps..
Answer: About 65 million years ago.
Step-by-step explanation: The Alps emerged during the alpine orogeny, an event that began about 65 million years ago as the Mesozoic era was drawing to a close.
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Help please
i suck at math :/
thank you so much
Answer:
∠1 + ∠2 = 135°
Step-by-step explanation:
From the text, it is given that the two unknows are adjacent angles.
∠2x + ∠2x + 7 = 135°
∠4x + 7 = 135°
∠4x = 128°
x = 32
Answer:
\(\angle 1 = 64\)°
\(\angle 2 = 71\)°
Step-by-step explanation:
If two adjacent angles form at a resulting angle, this means that both angles form the full resulting angle.
This means \(\angle1\) and \(\angle2\) have a sum of \(135\)°. This can also be written as:
\(135 = 2x+2x+7\) or \(135 = 4x+7\)
This can be worked out using simple rearrangement:
\(135 = 4x+7\\=135-7 = 4x\\=128 = 4x\\\therefore x = 32\)
Therefore we can simply substitute to get our angles:
\(\angle 1 = 2x = 32\times2 = 64\\\angle 2 = 2x+7 = 32\times2+7 = 71\)
Hope this helps!!!
Julie biked 15 miles in 65 minutes, and Becca biked 10 miles in 45 minutes,
The ratio between their speed is 1.15
What is RatioThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related. For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole. For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.
The ratio of their speed to one another can be calculated by first calculating the speed. This basically the fraction between the two speed.
speed = distance / time
speed = 15 / 65
speed = 0.23 mi/min
Julie speed is 0.23 mi/min
Becca speed is
speed = 10 / 45 = 0.2 mi/min
The ratio of Julie speed to Becca speed is calculated as;
ratio = 0.23 / 0.2
ratio = 1.15
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You told your friend that you could eat 58 of a large pizza. If you only ate 12 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
the fraction of large pizza did you eat is 6 ÷ 29
Step-by-step explanation:
The computation of the fraction of large pizza did you eat is given below:
= Ate portion ÷ large pizza
= 12 ÷ 58
= 6 ÷ 29
Hence, the fraction of large pizza did you eat is 6 ÷ 29