Answer:
Step-by-step explanation:
H = ∠XAP {alternate interior angles are congruent}
C =∠YBP {Alternate interior angles are congruent}
∠APB = H + C
= ∠XAP + ∠YBP
what is the distance from the number to 0 and is always positive.
Answer:
Absolute Value
Step-by-step explanation:
– The distance a number is from the zero on a number line. (Absolute value is always positive). Acute Angle - An angle with a measure > than 0° and < 90˚. Acute Triangle– A triangle that has all three angles that are acute.
The temperature on a winter night was -21 F. The temperature rose by 7 F when the sun came up. When the sun set again, the temperature dropped by 9 F. Find the temperature after the sun set.
Answer:
-23
Step-by-step explanation:
-21 + 7 is -14
-14 - 9 is -23
Help please it’s emergency: I don’t understand how to do number 7
With a greater mean value , we can conclude that the sixth period class test was better than the second period .
Calculating the mean of each classSecond period class:
Mean = (55+70+6*75+6*80+2*85+3*90+95)/20
Mean = 1590/20 = 79.5
Sixth period class:
Mean = (65+3*75+5*80+6*85+3*90+2*95)/20
Mean = 1660/20 = 83
Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .
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. sand is being dumped from a truck at a rate of 40 cubic feet per minute forming a cone with diameter twice the height. how fast is the height changing when the pile is 5 feet high?
Millie makes a placemat with a triangular pattern. Each triangle has a base of 5 inches and a height of 4 inches. Millie sews together a total of 42 triangles.
Each triangle has an area of
inches2
The total area of the placemat is
inches2
Answer:
10 inches²
420 inches²
Step-by-step explanation:
1) Area of a triangular placemat:
= ½ × base × height
= ½ × 5 × 4
= 10 inches²
2) Total area of the placemat:
= Area of a placemat × Number of triangles
= 10 × 42
= 420 inches²
Please help…
As soon as possible..
note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box
======================================================
Work Shown:
C = 2*pi*r
C = 2*r*pi
C = 2*5*pi
C = 10pi
two points in a rectangular coordinate system have the coordinates (4.8, 2.5) and (−3.2, 5.0), where the units are centimeters. determine the distance between these points.
To determine the distance between two points in a rectangular coordinate system, we can use the distance formula. Given the coordinates of the points (4.8, 2.5) and (-3.2, 5.0), we can calculate the distance as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
Distance = √((-3.2 - 4.8)^2 + (5.0 - 2.5)^2)
Simplifying further:
Distance = √((-8)^2 + (2.5)^2)
Distance = √(64 + 6.25)
Distance = √70.25
Distance ≈ 8.38 centimeters
Therefore, the distance between the points (4.8, 2.5) and (-3.2, 5.0) is approximately 8.38 centimeters.
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macrohard have conducted a multiple linear regression analysis to predict the loading time (y) in milliseconds (thousandths of seconds) for macrohard workstation files based on the size of the file (x1) in kilobytes and the speed of the processor used to view the file (x2) in megahertz. the analysis was based on a random sample of 400 macrohard workstation users. the file sizes in the sample ranged from 110 to 5,000 kilobytes and the speed of the processors in the sample ranged from 500 megahertz to 4,000 megahertz. the multiple linear regression equation corresponding to macrohard's analysis is:
The multiple linear regression equation corresponding to macrohard's analysis is y = b0 + b1 * x1 + b2 * x2 + e.
It is given that Macrohard conducted a multiple linear regression analysis to predict the loading time (y) in milliseconds for Macrohard workstation files based on the file size (x1) in kilobytes and the processor speed (x2) in megahertz. The analysis was based on a random sample of 400 Macrohard workstation users, with file sizes ranging from 110 to 5,000 kilobytes and processor speeds ranging from 500 to 4,000 megahertz.
The multiple linear regression equation corresponding to Macrohard's analysis can be written as:
y = b0 + b1 * x1 + b2 * x2 + e
Where:
y is the loading time in milliseconds
x1 is the file size in kilobytes
x2 is the processor speed in megahertz
b0, b1, and b2 are the regression coefficients
e is the error term
These coefficients are estimated based on the sample data and represent the expected change in y for each unit increase in x1 and x2, holding all other variables constant. This equation allows Macrohard to estimate the loading time of a workstation file based on its size and the processor speed. To make predictions using this equation, simply plug in the values for x1 (file size) and x2 (processor speed) and solve for y (loading time).
However, it is important to note that the accuracy of these predictions may be limited by the variability of the data and the assumptions underlying the regression model. Additionally, there may be other factors that influence loading time that were not included in the analysis.
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You have two biased coins. coin a comes up heads with probability 0.1. coin b comes up heads with probability 0.6. however, you are not sure which is which, so you choose a coin randomly and flip it. if the flip is heads, you guess that the flipped coin is b. otherwise, you guess that the flipped coin is
The probability that our guess is correct is 0.857.
What exactly is probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are.
Explanation in detail:
A Conditional Probability with Biased Coins is used to answer the given question.
Given information:
P(Head | A) = 0.1 and P(Head | B) = 0.6.
We know that P(B) = 0.5 = P(A) by applying Bayes' theorem, because coins A and B are equally likely to be chosen.
P(Head) now equals P(A) P(head | A) + P(B) P(Head | B).
By inserting the value, we obtain P(Head) = 0.5 0.1 + 0.5 0.6 P(Head) = 0.35
When we enter this value into, we obtain Similarly.
As a result, the likelihood of our guess being true is 0.857.
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Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 $7.50dollar sign, 7, point, 50 delivery fee and $ 14 $14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60 $6
Answer:
5 pizzas Sorry i may be wrong
Step-by-step explanation:
The inequality that models this situation is given by:
\(7.5 + 14p \leq 60\)
--------------------------------
The first step towards building the inequality is finding Jacque's total spending.The delivery, which if a fixed fee(paid only once), is $7.50.Then, each pizza will cost $14, thus, the cost of buying p pizzas is \(14p\).Thus, the total spending is of:\(T = 7.5 + 14p\)
--------------------------------
He wants the cost under $60, and thus:\(T \leq 60\)
Since \(T = 7.5 + 14p\), the inequality is:
\(7.5 + 14p \leq 60\)
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Six times the sum of a number and 9 equals 8: translate the sentence into an equation
Answer:
6 times x+9=8
Step-by-step explanation:
Answer:
6(x+9)=8
Step-by-step explanation:
In the number 8246315 what sigit is in the ones place
Answer:
5
Step-by-step explanation:
The ones place is the one most to the right that isn't after a decimal point.
Answer:
5, since it is all the way to the right
Step-by-step explanation:
if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !
i hope this helps !! :D
Write an equation in slope-intercept form for the line with slope -2 and y-intercept -4.
Answer:
y = -2x - 4
Step-by-step explanation:
Emily is going to drive from her house to City A without stopping. An equation that determines Emily's distance from City A t hours after leaving her house is D = 300 - 50t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The y intercept is D=300 and the interpretation is the Emily's distance from City A, t hours after leaving her house is 300.
What is y intercept?In analytic geometry, the general agreement is that the horizontal axis represents the x variable, the vertical axis represents the y variable, and the y-intercept is the point where the graph of the function or relation is tangent at the y axis of the coordinate system If the y-intercept formula of the line is oblique Intercept y = mx + c, y=c where, m = slope of the line. c = ordinate at the origin of the line.
The Emily's distance from City A, t hours after leaving her house is D=300-50t
The slope intercept form of a line is y=mx+ b where m is the slope of the line and also the coefficient of the variable x. b is the y intercept.
We have, the equation D=300-50t
It can be rewritten as D= -50t+300 which is of the form y= mx+ b.
For y intercept we will take t=0
so, D=300
and from here we can conclude that , The Emily's distance from City A, t hours after leaving her house is 300.
Hence, y intercept is D=300 and the interpretation is the Emily's distance from City A, t hours after leaving her house is 300.
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a(n) ________ is a complicated set of possibly nonlinear equations.
A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.
This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.
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One reason for the increase in human life span over the years has been the advances in medical technology. The average life span for American women from 1907 through 2007 is given byw(t) = 49.9 17.1 ln(t) (1 ≤ t ≤ 6)where W(t) is measured in years and t is measured in 20-year intervals, with t = 1 corresponding to 1907
In the given, the average life span for American women in 2000 was approximately 79.1 years.
How to solve the Problem?The given equation for the average life span of American women from 1907 through 2007 is:
W(t) = 49.9 + 17.1 ln(t)
Here, t is measured in 20-year intervals, with t=1 corresponding to 1907.
To find the average life span for American women in a specific year, we need to first determine the corresponding value of t. For example, to find the average life span in 1950, we can use:
t = (1950 - 1907) / 20 + 1 = 3.22
Using this value of t in the equation, we get:
W(3.22) = 49.9 + 17.1 ln(3.22) ≈ 68.5 years
Therefore, the average life span for American women in 1950 was approximately 68.5 years.
Similarly, we can find the average life span for other years by using the corresponding values of t. For example, for the year 2000, we have:
t = (2000 - 1907) / 20 + 1 = 5.65
W(5.65) = 49.9 + 17.1 ln(5.65) ≈ 79.1 years
Therefore, the average life span for American women in 2000 was approximately 79.1 years.
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what is a congruent polygon
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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Find the exact value of cos J in simplest form.
√29
14
15
H
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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There are counters of four different colours in a bag. A counter is taken out at random.
This table shows the probabilities of different colours.
Colour gold silver bronze white
Probability 0.05 0.15 0.55
Find the probability that the counter is
a. gold or silver
b. not gold
c. silver or bronze
a)
P (gold or silver) is 0.20
b)
P (not gold) is 0.95
c)
P (silver or bronze) is 0.70
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Color gold silver bronze white
Probability 0.05 0.15 0.55 0.25
Now,
The probability that the counter is
a)
P (gold or silver)
= 0.05 + 0.15
= 0.20
b)
P (not gold)
= 1 - 0.05
= 0.95
c)
P (silver or bronze)
= 0.15 + 0.55
= 0.70
Thus,
The probabilities are given above.
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If acid causes decrease in the number of mayfly nymphs wich i population will not decrease the most number
The population of the species that feeds on the mayfly nymphs will not decrease the most if acid causes a decrease in their number.
Acidic substances can have detrimental effects on aquatic ecosystems. They can lead to the death of many species, including mayfly nymphs. This can have a ripple effect on the food chain. Species that feed on the mayfly nymphs will have less food, and their populations may decrease as a result. However, this does not necessarily mean that their population will decrease the most.
There are many factors that can impact the populations of different species in an ecosystem. In this case, the presence of acid is causing a decrease in the number of mayfly nymphs. This can have a variety of effects on other species that depend on mayfly nymphs for food. For example, fish that feed on mayfly nymphs may have less food available, which can lead to a decrease in their population. However, it is not necessarily the case that this species will be the one with the most significant decrease in population. Other species may be more impacted by the decrease in mayfly nymphs than fish. It is also possible that the decrease in mayfly nymphs will have a cascading effect on the ecosystem, impacting many different species in various ways. In conclusion, while the presence of acid can have significant impacts on ecosystems, the specific species that will be most impacted by the decrease in mayfly nymphs is difficult to determine without more information.
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I NEED HELP
Colman has 2 quarters, 5 dimes, and 3 pennies.
He takes one quarter from his pocket and gives
it to Brady. What is the probability that he will
draw a dime the next time?
Answer:
78
Step-by-step explanation:
True or false: If y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.
True.
if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.
If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.
Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.
Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.
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1111111111111111111111111111111111111111111
Part A: Erica is making friendship bracelets. She has 50 1/2 inches of yarn but needs them to be cut into 1/4 peices. How many pieces can she make?
Part B: 50 1/2 x 4 = 202
(keep change flip)
Part C: I cannot do this as I cannot speak verbal to you here :/ Good luck with this part!
You could do something like (I think?)
"50 1/2 is divided by 1/4 which results in the quotient of 202"
You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five
Answer:
A "fair" coin lands heads-up half of the time and "tails-up" half of the time.
For one flip, the probability of landing heads-up is 1/2.
Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.
So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.
Step-by-step explanation:
The probability that coin lands heads-up and the die shows a five is 0.083.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a person flip a coin and then roll a fair six-sided die.
The probability the coin lands heads-up is 1/2
The probability that die shows a five = 1/6
Now, the probability of an event = 1/2 × 1/6
= 1/12
= 0.083
Therefore, the probability that coin lands heads-up and the die shows a five is 0.083.
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12 = 3(m - 17)
Help please. You have to use distributive property to solve.
Answer:
m = 21
Step-by-step explanation:
12 = 3(m - 17)
12 = 3m - 51 (Found using the distributive property)
63 = 3m (Found by adding 51 to both sides)
21 = m (Found by dividing both sides by 3)
Hope this helps :)
The set W is a subset of set of real numbers R cubed. If W were a vector space, what else would be true about it?
A. The set W would be the null space of any matrix A that can be broken up into vectors that span set of real numbers R cubed.
B. The set W has at least one basis with each dimension from 0 to 3, inclusive.
C. The set W would not contain the zero vector for set of real numbers R cubed.
D. The set W would be a subspace of set of real numbers R cubed.
D. The set W would be a subspace of set of real numbers R cubed.
For a set to be considered a vector space, it must satisfy the following conditions:
1. It contains the zero vector (the additive identity).
2. It is closed under vector addition.
3. It is closed under scalar multiplication.
Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.
Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.
Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.
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(-8,-5) and (-7,-4) find the slope?
Answer:
(1, 1)
Step-by-step explanation:
(-8, -5) >> (x1, y1)
(-7, -4) >> (x2, y2)
(y2 - y1) -4 - (-5) = 1
----------- >>
(x2 - x1) -7 - (-8) = 1
x always goes first in a coordinate, so:
(1, 1)
Hope this helped ;)
The figure shows the dimensions for a package to be shipped.
6 in.
4 in.
-12 in.
10 in.
sq. in.
15 in.
What is the minimum amount of wrapping paper, in square inches, needed to cover the package?
The minimum amount of wrapping paper, needed to cover the package surface area is 174 square inches.
Total surface area = Area of 2 similar trapeziums + Area of rectangles of 4 different rectangles
area of a triangle = 1/2 ×Base×Height and area of a rectangle is Length×Breadth.
= 2×1/2(7+3)×3+8×5+8×3+8×3+8×7
= 174 square inches
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when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.
a. 18 treats
a. 19 treats
c. 14 treats
d. 16 treats
Answer:
18 treats
Step-by-step explanation:
If she gives 2/5 of 30 = 12
so 3/5 of 30 is 18 (also 30-12 =18)
Find the difference.
(6d+5) - (2-3d)
Answer:
=6d+5-2+3d
=9d+3
=3(3d+1)
hope it helps.
Answer:
beb gfnv mor
join fasttttt