Answer:
y=1/2x+-2
Step-by-step explanation:
what is the length of the segment
Answer:
5 dots
Step-by-step explanation:
If it isnt is because I dont have more info
I honestly have no clue how to do trig, I need help.
Answer: x= 437.3 ft.
Step-by-step explanation:
Let the angle side at 29 be n
so
n+29 = 90
so, n = 61
now
sin 61= p/h
sin 61 = x/500
so, x = sin 61*500
so, x = 437.3
Suppose your great-great grandfather invested $900 earning 4.5% interest compounded continuously 100 years ago. Howwould his investment be worth today?
$73,429.67
Explanations:The formula for calculating compound amount is expressed according to the formula;
\(A=P(1+\frac{r}{n})^{nt}\)P is the principal (money invested) = $900
r is the rate (in decimal) = 4.5% = 0.045
t is the time (in years) = 100 years
n is the compounding time = 1
Substituting the given parameters into the formula;
\(\begin{gathered} A=900(1+\frac{0.045}{1})^{100(1)^{}} \\ A=900(1+0.045)^{100_{}} \\ A=900(1.045)^{100} \\ A=900(81.5885) \\ A=\$73,429.67 \end{gathered}\)Hence the investment will be worth $73,429.67 today if compounded continuously
Find 7.5×1041.25×10−9. Write your answer in scientific notation.
Answer:
7.5×1041.25×10−9 = 78,084.75 = 7.808475 x^10
Step-by-step explanation:
Consider the matrix A=[20, 16; -24, -20]. Compute the characteristic polynomial p(λ) and solve for its roots. Below, write the two eigenvalues, so that λ1<λ2.
To compute the characteristic polynomial p(λ) for the matrix A, we need to find the determinant of (A - λI), where λ is the eigenvalue and I is the identity matrix.
The matrix (A - λI) is:
A - λI = [20 - λ, 16; -24, -20 - λ]
The determinant of (A - λI) is:
det(A - λI) = (20 - λ)(-20 - λ) - (16)(-24)
= λ^2 + 20λ + 400 + 384
= λ^2 + 20λ + 784
Therefore, the characteristic polynomial p(λ) is λ^2 + 20λ + 784.
To solve for the roots, we set p(λ) equal to zero and solve the quadratic equation:
λ^2 + 20λ + 784 = 0
Using the quadratic formula:
λ = (-b ± √(b^2 - 4ac)) / (2a)
For the given equation, a = 1, b = 20, and c = 784. Substituting these values into the quadratic formula:
λ = (-20 ± √(20^2 - 4(1)(784))) / (2(1))
= (-20 ± √(400 - 3136)) / 2
= (-20 ± √(-2736)) / 2
= (-20 ± √(2736)i) / 2
Since the discriminant is negative, the roots of the equation are complex numbers. Simplifying the expression:
λ1 = (-20 + √(2736)i) / 2
= -10 + √(684)i
λ2 = (-20 - √(2736)i) / 2
= -10 - √(684)i
Therefore, the two eigenvalues of the matrix A, with λ1 < λ2, are:
λ1 = -10 + √(684)i
λ2 = -10 - √(684)i
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69 POINTS
If Pablo gives 20% of his money to Mary, then Mary would have 25% more money
than Pablo. If Mary gives 20% of her money to Pablo, he would have more money
than Mary by what percent?
Answer:
81.25%
Step-by-step explanation:
x = Pablo's money
y = Mary's money
y + 0.2x = 1.25×0.8x = x
y = 0.8x
or
x = y/0.8 = 1.25y
her money is 80% of his money, or in other words, he has 25% more money than her to begin with.
but now she gives him 20% of her money.
x + 0.2y = a × 0.8y
1.25y + 0.2y = a×0.8y
1.45y = a×0.8y
a = 1.45/0.8 = 1.8125 = 81.25%
if she gives him 20% of her money, he would then have 81.25% more money than her.
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Which of the following equations can be used to find the number of hours it takes the aircraft to reach a destination that is 1200
miles away?
A 1200t=480
B480+1200=t
C480t=1200
D 480+t=1200
Answer:
A
Step-by-step explanation:
The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.
The correct answer is option (C) 480t = 1200.
What is equation?"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."
Formula to calculate speed:speed = distance / time
For given question,
An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.
Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.
By using the formula of speed,
⇒ 480 = d/t
When destination is 1200 miles away.
This means d = 1200 miles.
⇒ 480 = 1200/t
⇒ 480t = 1200 .....................(Multiplying both the sides by t)
This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.
Therefore, option (C) is the correct answer.
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a chain letter starts when a person sends it to 7 others. these people either ignore it or send it to 7 more. if 211 are involved in this chain letter (including the sender), (1) how many sent the letter? (2) how many did not continue the chain?
There are 22 people who sent the chain letter, and 189 people did not continue the chain.
We know that the chain started with one person who sent it to 7 others, so that makes a total of 8 people in the first round. In the second round, each of those 7 people could either send it to 7 more people or ignore it, so there are two possibilities for each of those 7 people: they either continue the chain or they don't.
Therefore, there are 2⁷ = 128 possible outcomes for the second round.
If we assume that everyone who received the letter in the second round sent it to 7 more people, then there would be 7 x 128 = 896 people in the third round.
Continuing this pattern, we can see that the number of people in each round is given by the formula of combination 8 x 7ⁿ⁻¹, where n is the round number (starting with n = 1 for the first round).
We want to find the round number such that the total number of people in the chain is 211. Setting the formula above equal to 211 and solving for n gives
8 x 7ⁿ⁻¹ = 211
7ⁿ⁻¹ = 26.375
n - 1 = log_7(26.375)
n = 2.78 (rounded to two decimal places)
Since we can't have a fractional round number, we can assume that the chain ended after the second round (since the third round would have too many people). Therefore, the total number of people who sent the letter is
8 + 7(2) = 22
To find the number of people who did not continue the chain, we can subtract the number of people who sent the letter from the total number of people in the chain
211 - 22 = 189
Therefore, 189 people did not continue the chain.
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Does the table represent a proportional or a nonproportional linear relationship?
x 1 2 3 4 5
y 5 7 9 11 13
The table represents a linear relationship.
Answer please?
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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jackie converted the fallowing decimals to fractions.
explain plisssss
Answer:
Step-by-step explanation:
To convert a fraction to a decimal, you divide the numerator by the denominator. The line in the middle of a fraction is essentially a large division sign.
Let's check Jackie's work
1/200 = 0.005
3/10 = 0.3
7/8 = 0.875
4/5 = 0.8
Jackie listed 7/8 as 0.625, which is incorrect. 7/8 is 0.875
So, 0.625 is your answer.
What is the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%.
The geometric average of the five returns is 20.14.%
What is geometric average?Geometric average or geometric mean is the average of a set of values calculated using the products of the terms or values.
The geometric average of a data set containing n observations is the nth root of the product of the values.
Calculating the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%:
n = 5
Geometric average = \(\sqrt[5]{(-36.81) \times (19.14) \times (23.77) \times (-6.34) \times (31.17)}\)
Geometric average = 20.14%
In conclusion, the geometric average mean is obtained as the nth root of the product of the values.
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figure O is the result of a transformation on figure N. which transformation would accomplish this.
a. a rotation 90 clockwise about the orgin
b. a translation 5 units and 2 units down
c. a rotation 90 counterclockwise about the orgin
d. a translation 5 units left and 2 units up
Answer:
b. a translation 5 units [right] and 2 units down
Step-by-step explanation:
Start with Figure N. The figure is now transformed into Figure O. Notice that Figure O has the same size, shape, and orientation as Figure N. That means there is no scaling, no mirror reflection, and no rotation. There is only a translation.
The upper right vertex of Figure N is now the upper right vertex of Figure O.
The coordinates of the upper right vertex went from (0, 4) to (5, 2).
The x-coordinate went from 0 to 5.
5 - 0 = 5
A translation of 5 in x is a translation of 5 units to the right.
The y-coordinate went from 4 to 2.
2 - 4 = -2
A translation of -2 in y is a translation of 2 units down.
Answer: b. a translation 5 units [right] and 2 units down
(I think you left out the word "right" in choice b.)
The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
The given two figures are formed by the transformation.
The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.
So, the transformation of x coordinate is,
\(1-(-4)=5\rm\;units\)
And transfrmation of y coordinate is,
\(-1-1=-2\rm\;units\)
The figure is not rotated at any angle as they both are identical in orientation.
From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).
Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
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An object is moving with velocity (in ft/sec) v(t)=t2−1t−12
Find the displacement and total distance travelled from t=0 to t=6
To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.
The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.
The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.
Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].
To find the displacement, we integrate the velocity function as follows:
Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.
To find the total distance traveled, we integrate the absolute value of the velocity function as follows:
Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.
By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.
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find the given derivative by finding the first few derivatives and observing the pattern that occurs. d95 dx95 (sin(x)
The pattern that occurs d⁹⁵/dx⁹⁵ sin(x) is -cos(x)
To find the derivative of d^95/dx^95 sin(x), we can use the fact that the derivative of sin(x) is cos(x) and that the derivative of cos(x) is -sin(x). Therefore, the pattern for the derivatives of sin(x) is:
d/dx sin(x) = cos(x)
d²/dx² sin(x) = -sin(x)
d³/dx³ sin(x) = -cos(x)
d⁴/dx⁴ sin(x) = sin(x)
d⁵/dx⁵ sin(x) = cos(x)
d⁶/dx⁶ sin(x) = -sin(x)
d⁷/dx⁷ sin(x) = -cos(x)
d⁸/dx⁸ sin(x) = sin(x)
We can see that this pattern repeats every 4 derivatives. Therefore, we can simplify the expression d^95/dx^95 sin(x) by dividing 95 by 4 and finding the remainder:
95 ÷ 4 = 23 remainder 3
This tells us that the 95th derivative of sin(x) will be the same as the third derivative of sin(x), which is:
d⁹⁵/dx⁹⁵ sin(x) = d³/dx³ sin(x)
= -cos(x)
Therefore, the pattern that occurs d⁹⁵/dx⁹⁵ sin(x) is -cos(x).
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PLEASE HELP ME I WILL GIVE BRAINLIEST!!
Which row of Pascal's Triangle should you use to expand the binomial (a + b)^4?
Answer:
Step-by-step explanation:
a + b)^6 will have 7 terms so you want row 6 of the triangle 1 6 15 20 15 6 1
so (a + b)^6 = a^6 + 6a^(5)b + 15a^(4)b^2 + 20a^(3)b^3 + 15a^(2)b^4 + 6ab^5 + b^6
given a = d and b = -5y
∴ (d − 5y)^6 = d^6 + 6d^(5)(-5y) + 15d^(4)(-5y)^2 + 20d^(3)(-5y)^3 + 15d^(2)(-5y)^4 +
Need help with this is geometry
The length of the radius AB is 6 units.
How to find the length of an arc?The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of
radius AB can be found as follows:
Hence,
length of arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleTherefore,
length of arc = 90 / 360 × 2πr
3π = 1 / 4 × 2πr
cross multiply
12π = 2πr
divide both sides by 2π
r = 6 units
Therefore,
radius AB = 6 units
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a defendant was charged was aggravated assault. at trial, the victi testified that the defendant beat her savagely
The defendant was charged with aggravated assault. During the trial, the victim testified that the defendant beat her savagely.
In this case, aggravated assault refers to a more severe form of assault that involves the intentional causing of serious bodily harm to another person. The victim's testimony plays a crucial role in providing evidence and establishing the defendant's guilt. The prosecution will likely present other evidence, such as medical reports or eyewitness testimonies, to support the victim's claim.
It's important to note that the final verdict will depend on the judge or jury's assessment of the evidence presented during the trial. The defense will have an opportunity to cross-examine the victim and present their own evidence or witnesses to challenge the victim's testimony. The defendant's attorney may also argue for a lesser charge or attempt to establish that the defendant acted in self-defense. Ultimately, the court will weigh all the evidence and decide whether the defendant is guilty of aggravated assault based on the standard of proof beyond a reasonable doubt.
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help please
...................
Answer:
Step-by-step explanation:
11.
Area as sum: \(7d+7*4\)
Area as Product: 7(d+4)
12. Area as sum: y*y+y*3
Area as Product: y(y+3)
HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.
Answer:
10 ÷ 0.2=50
Step-by-step explanation:
10 lbs in total. Each batch uses 0.2 lbs.
We can find how many batches can be made by dividing 10 by 0.2.
10 ÷ 0.2=50
Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.
They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.
The Wigwam Motel in Holbrook, Arizona is famous for its large tepees, which are shaped like cones. Each of these units has a base diameter of 14 feet and a height of 32 feet. (a) What is the slant height of the Teepees at the Wigwam Motel? Please make sure to use the Pythagorean Theorem and show your work. (b) (1. 5 pts) For extra credit, how much floor space, in square units, is available inside each tepee?
The Wigwam Motel in Holbrook, Arizona is famous for its large tepees shaped like cones. the floor space inside each tepee is approximately 153.94 square feet.
(a) To find the slant height of the tepee, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle with the height and the radius of the base as the legs.
The radius of the base is half of the diameter, so r = 14/2 = 7 feet. The height of the tepee is 32 feet. Let's call the slant height "s".
Using the Pythagorean theorem, we have:
s² = r² + h²
s² = 7² + 32²
s² = 49 + 1024
s² = 1073
s = sqrt(1073)
s ≈ 32.77 feet
Therefore, the slant height of the tepee is approximately 32.77 feet.
(b) To find the floor space inside the tepee, we need to calculate the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(7)²
A = 49π
A ≈ 153.94 square feet
Therefore, the floor space inside each tepee is approximately 153.94 square feet.
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Mrs. Andrey claims the average score on a quiz in her class was 25. Mr. Luna claims the average score on a quiz in his class is 25.
Answer:
ms.andrey used mode
mr.luna used median
Step-by-step explanation:
Answer:
I don't see the problem here
in other news, FLUFFY COW:
Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 14 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.
Answer:
The answer would be 4 1/4 (4.25)
10-1.5=8.5/2=4.25
Hope this helps!
Can u please mark me as brainliest? I really need it!
Step-by-step explanation:
Please help please guys I need this now
Practice and apply what you have learned:
Read the passage
"I should not have to turn the water off while I brush my teeth. First, I hate having to
brush my teeth. Plus, it's annoying to have to turn the water off when I'm brushing
my teeth. Everyone else in my family turns the water off when they brush their teeth,
so it shouldn't matter if I do or not, since I'm only one person. How much water can I
really waste?"
What is the claim?
Answer:
“I should not have to turn the water off while I brush my teeth.”
Step-by-step explanation:
A claim is a statement that expresses the main idea or position of an argument. A claim is usually supported by reasons and evidence to persuade the audience to accept it. A claim can also be challenged or refuted by counterclaims and counterarguments.
To find the claim in the passage, you need to look for the statement that expresses the author’s main idea or position on the topic of turning off the water while brushing teeth. The claim is usually found at the beginning or the end of the passage, but it can also be implied or repeated throughout. In this case, the claim is found at the beginning of the passage:
“I should not have to turn the water off while I brush my teeth.”
This is the claim because it expresses the author’s main idea or position on the topic. The rest of the passage provides reasons and evidence to support this claim, such as hating to brush teeth, finding it annoying to turn off the water, and being only one person who cannot waste much water. These reasons and evidence may not be very convincing or valid, but they still serve to support the claim.
So, the claim in the passage is I should not have to turn the water off while I brush my teeth.
on the first day of a measles outbreak at a school, 5 students were identified to have the measles. each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. how many students are identified to have measles in all at the end of the 6th day of the outbreak?
160 students are identified to have measles in all at the end of the 6th day of the outbreak.
On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. Here is the calculation below:
Number of cases of measles on the first day of outbreak = 5
Total number of cases of measles on day 2 = 5 x 2 = 10
Total number of cases of measles on day 3 = 10 x 2 = 20.
Total number of cases of measles on day 4 = 20 x 2 = 40
Total number of cases of measles on day 5 = 40 x 2 = 80
Total number of cases of measles on day 6 = 80 x 2 = 160
Therefore, 160 students are identified to have measles in all at the end of the 6th day of the outbreak.
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Select all the correct answers. which expressions are equivalent to the given expression?
The equivalent expressions of the expression are 2x + 6 and 2(x) + 2(3)
How to determine the equivalent expressions?The expression is given as:
2(x + 3)
Expand the bracket
2(x + 3) = 2 * x + 2 * 3
Evaluate the product
2(x + 3) = 2x + 6
Hence, the equivalent expressions of the expression are 2x + 6 and 2(x) + 2(3)
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Find the slope of the line.
On a coordinate plane, a line goes through (2, 0) and (6, 1).
a.
4
c.
One-fourth
b.
Negative one-fourth
d. 4
Answer: C 1/4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edge 2021
Picture attached help please!
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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Phythagorean theorem HELPPPP PLSSSSS ASAPPP
Answer:
5
Step-by-step explanation:
We know that we can use the Pythagorean theorem
a^2 + b^2 =c^2
where a and b are the legs and c is the hypotenuse
one of the legs is 12 and the hypotenuse (diagonal) is 15
a^2 + 12^2 = 15^2
a^2 +144 = 169
a^2 +144-144 =169-144
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
Answer:
l = 9 cm
Step-by-step explanation:
Using Pythagoras' identity in one of the right triangles with legs width w, length l and hypotenuse h , then
l² + w² = h²
l² + 12² = 15²
l² + 144 = 225 ( subtract 144 from both sides )
l² = 81 ( take the square root of both sides )
l = \(\sqrt{81}\) = 9