Answers
Answer:
B
Step-by-step explanation:
Its easy
Related Questions
ABCD is a regular tetrahedron (right triangular pyramid). If M is the midpoint of CD, then what is cos ABM
Answers
If M is the midpoint of CD, then the is cos ABM = 8 / (235) sqrt
What is regular tetrahedron?The Platonic solid known as the regular tetrahedron has four polyhedron vertices, six polyhedron edges, and four equal equilateral triangular faces. It is frequently referred to as "the" tetrahedron. Also included are the Wenninger model and uniform polyhedron.
What is Law of Cosines?1: According to a rule of trigonometry, the square of a side in a plane triangle is equal to the sum of the squares of the other sides minus twice that much of the product of those sides and the cosine of the angle between them.
According to the given information:To make things easier, set the tetrahedron's side equal to 1.
A = ( -1/2 , 0 , 0)
B = ( 1/2, 0, 0 )
C = (0, sqrt (3)/2, 0)
D = (0, sqrt (3)/4 , 6/sqrt (3) )
M = (0 , (3/8) sqrt (3) , 3/sqrt (3) ) = (0, (3/8)sqrt (3) , sqrt (3) )
AB = 1
AM = BM = sqrt [ (-1/2)^2 + (3sqrt (3) / 8)^2 + (sqrt 3)^2 = sqrt [ 1/4 + 27/64 + 3 ] = sqrt (235) / 8
By the Law of Cosines
AM^2 = AB^2 + BM^2 - 2 (AB) (BM)cos (ABM)
0 = 1 - 2 (1) (235 squared / 8) cos ABM
0 = 1 - [sqrt ( 235) / 8] since ABM
cos ABM = -1 / - [ sqrt (235) / 8]
8 / (235) sqrt = cos ABM
If M is the midpoint of CD, then the is cos ABM = 8 / (235) sqrt
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The diagram shows a shaded parollelgram drawn inside a rectangle
Answers
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
Answers
Answer:
1.3 x 1020
Step-by-step explanation:
4.8 x 10-6 = 42
1.3 x 1020 = 1326
3.1 x 10-4 = 27
9.2 x 10-5 = 87
A company is printing 250 calendars. In one hour, 75 calendars are printed.
What percent of the calendars are printed in 1 hour?
Answers
Answer:
In one hour, 75 calendars were printed, which is 30% of the total number of calendars (250). Therefore, the percent of the calendars printed in one hour is 30%.
Answer: 30
Step-by-step explanation: The answer would be 30 because if you took 75 and divided by 200 you would end up with a product of about 30! Hopefully this helped you!!
Multiply and simplify. Assume that no radicands were formed by raising negative numbers to even powers.
√6x3 ∗ √18x2
Answers
To multiply and simplify √6x^3 * √18x^2, we can combine the radicals and simplify the expression. The simplified form is 3x^3√2.
To multiply the given radicals, we can combine the square roots and simplify the expression. Let's break down the radicals into their prime factors:
√6x^3 = √(2 * 3) * x^3 = x^3√2√3
√18x^2 = √(2 * 3^2) * x^2 = x^2√2√(3^2) = x^2√2√9 = x^2√2 * 3
Now, we can multiply the two expressions:
(x^3√2√3) * (x^2√2 * 3) = (x^3 * x^2) * (√2√3 * √2 * 3)
= x^(3+2) * √(2 * 2) * √(3 * 3) * 3
= x^5 * √4 * √9 * 3
= x^5 * 2 * 3
= 6x^5
Therefore, the simplified form of √6x^3 * √18x^2 is 6x^5.
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hotel pool a hotel owner is trying to calculate how many square feet of fabric he will need to make a pool covering for winter. if the pool is in the shape of a regular hexagon with a side-to-side length of 30 feet, how many square feet of fabric will the owner need to construct the cover? round to the nearest square foot.
Answers
The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.
To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:
apothem = 30 × √3/2 = 25.980762
The area of a regular hexagon is given by the formula:
area = 3 × √3/2 × apothem^2
Substituting the value of the apothem, we get:
area = 3 × √3/2 × 25.980762^2 = 2247.72
Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.
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solve the equation x=2/3pir^3 for r
Answers
The solution for r is given by \(r=\frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
To solve the equation
\(x=(\frac{2}{3} )\pi r^3\) for r,
we need to isolate the variable r.
Let's follow the steps:
Multiply both sides of the equation by \((\frac{3}{2} )\) to cancel out the coefficient \((\frac{2}{3} )\) on the right side:
\((\frac{3}{2} )x=\pi r^3\).
Divide both sides of the equation by π to get rid of it on the right side:
\(\frac{\frac{3}{2} x}{\pi } = r^3\).
Take the cube root of both sides to eliminate the exponent:
\(\sqrt[3]{\frac{3}{2} x} = r\).
Therefore, the solution for r is given by \(r = \frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
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Please help me find the measure of the arc or angle indicated. (Angles on circles)
Answers
Answer: 9. 54; 10. 220; 11. 71; 12. 262
Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure
Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How many cards will that take?
Answers
At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
How did we figure this out?Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.
We are going to use 50, 8 and 10 to find are answer.
Therefore, we are going to divide the numbers:
\(\boxed{50/10}\)
Division problem50/108 x ? = 40What is the missing number?First, we need to figure out 50/10:
\(\boxed{50/10=5}\)
\(\boxed{8x5=40}\)
\(5=40\\(50/10=5=8x5=40)\)
Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
Answer:
40
Step-by-step explanation:
There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?
Answers
Answer:
y = 28 - b
Step-by-step explanation:
you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.
Your friends have locked themselves out of the house, and they need your help to get back in. They have a 20 foot long ladder, and there is an open window 16 feet above the ground. How far from the wall should you hold the base of the ladder while they climb back in?
Answers
Solution:
Given:
where;
\(\begin{gathered} l=20ft \\ h=16ft \end{gathered}\)A right triangle can be extracted from the image above,
Applying the Pythagoras theorem to the right triangle,
\(\begin{gathered} \text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2 \\ \\ \text{Thus,} \\ l^2=h^2+w^2 \end{gathered}\)To find w, substitute the known values into the formula,
\(\begin{gathered} l^2=h^2+w^2 \\ 20^2=16^2+w^2 \\ 400=256+w^2 \\ 400-256=w^2 \\ 144=w^2 \\ w=\sqrt[]{144} \\ w=\pm12 \\ Si\text{nce the problem is on the distance to hold the base of the ladder, we pick the positive value only.} \\ \text{Thus,} \\ w=12ft \end{gathered}\)Therefore, the distance from the wall that the base of the ladder should be while they climb back in is 12 feet.
Hence, option D is the correct answer.
on a candy production line, 3% of bags are overfilled. an employee randomly selects 100 bags and finds that 5% are overfilled. a second employees takes another random sample of 250 bags and finds that 2% are overfilled. which of the following explains why there is a difference between the two percentages?
- Random error; the numbers were different due to variability inherent in sampling. - The samples were not random samples. - Both samples suffered from non-response bias.
- The sample sizes were both too small, which is why they both obtained figures different than 3%
Answers
The most likely explanation for the difference between the two percentages is random error.
Random error refers to the variability inherent in sampling, where different samples may yield different results due to chance.
In this case, the first employee randomly selected 100 bags and found that 5% were overfilled, while the second employee randomly selected 250 bags and found that 2% were overfilled.
This discrepancy is likely due to the natural variation that can occur when taking samples from a larger population.
It is important to note that both samples were random samples, as stated in the scenario. Random sampling involves selecting individuals or items from a population in such a way that each has an equal chance of being chosen.
Therefore, the issue is not with the randomness of the samples.
Non-response bias refers to the bias that may arise if individuals or items chosen for the sample do not respond or participate. However, there is no indication in the scenario that non-response bias affected the results.
Lastly, the sample sizes of 100 and 250 are considered reasonably large for estimating proportions. With larger sample sizes, we would expect the estimated percentages to be closer to the true population percentage.
Therefore, it is unlikely that the difference in percentages can be solely attributed to the sample sizes being too small.
Therefore, the most plausible explanation for the difference between the two percentages is random error, which is inherent in sampling and can lead to variability in the obtained results.
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NO LINKSSSSSSSSSSSS please help
Answers
Answer:
I know this aint no clever bro cmon that stuff is easy
Step-by-step explanation:
using the picture below what fourth point in quadrant I would form a parallelogram
Answers
Answer:
(4,2.5)
.................................
f(x) = -4x^2 – 7x + 4
Find f(-7)
Answers
Answer:
-143
Step-by-step explanation:
you plug -7 in the x variables
-4(-7)^2-7(-7)+4 = -143
Justin is making mosaic with small colored tiles. He wants to represent the sun with a 4-inch-radius circle. Each tile measures 1/2 inch on each side, and only whole tiles will be used. What is the best estimate of the number of tiles that Justin needs to make the sun?
A) 15
B)50
C)65
D)100
E)200
Answers
Answer:
Since each tile is 1/2 inch on each side, Justin will need 15 tiles to make up a 4-inch-radius circle.
A car has a rating of 3.7 gallons per 100 miles. Determine the miles per gallon (mpg) rating for this car. (Round your answer to two decimal places.) mpg A second car has a rating of 4.3 gallons per 100 miles. Determine the mpg rating for this car. (Round your answer to two decimal places.) mpg Which car has the greater mpg
Answers
The first car has a higher miles per gallon rating with 27.03
The miles per gallon (mpg) rating for a car, we can use the formula
mpg = 100 / (gallons per 100 miles)
For the first car with a rating of 3.7 gallons per 100 miles
mpg = 100 / 3.7 ≈ 27.03 mpg
For the second car with a rating of 4.3 gallons per 100 miles
mpg = 100 / 4.3 ≈ 23.26 mpg
Comparing the two mpg ratings, we find that the first car has a greater mpg rating of 27.03 mpg compared to the second car with a rating of 23.26 mpg. Therefore, the first car has a higher mpg rating.
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Using the Laplace transform, solve: y" +9y=r(t), y(0) = 0, y'(0) = 10, where r(t) = 8 sint if 0 < t < 7 and 0 if t > T. NOTE: Express your answer without using the general unit step function, u. y(t) = if 0 < t < T y(t) = if t > T =
Answers
The solution for the differential equation y" + 9y = r(t), with initial conditions y(0) = 0 and y'(0) = 10, is given by y(t) = 8/81(1 - cos(3t)) for 0 < t < T, and y(t) = 8/81(1 - cos(3T)) * e^(-3(t-T)) for t > T.
For 0 < t < T, the Laplace transform of the differential equation gives (s^2 Y(s) - sy(0) - y'(0)) + 9Y(s) = 8/s^2 + 8/s^2 + (s + 10), where Y(s) is the Laplace transform of y(t) and s is the Laplace transform variable. Solving for Y(s), we get Y(s) = 8(s + 10)/(s^2 + 9s^2). Applying the inverse Laplace transform, we find y(t) = 8/81(1 - cos(3t)).
For t > T, the Laplace transform of the differential equation gives the same equation as before. However, the forcing function r(t) becomes zero. Solving for Y(s), we obtain Y(s) = 8(s + 10)/(s^2 + 9s^2). Applying the inverse Laplace transform, we find y(t) = 8/81(1 - cos(3T)) * e^(-3(t-T)), where e is the exponential function.
Therefore, the solution for y(t) is given by y(t) = 8/81(1 - cos(3t)) for 0 < t < T, and y(t) = 8/81(1 - cos(3T)) * e^(-3(t-T)) for t > T.
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REFER TO PHOTO, WILL GIVE 90 POINTS
Answers
Answer:
RS = 7cm .Step-by-step explanation:
To find:-
The value of RS .Answer:-
Let us take that, PQ = s , QS = p , QR = a and RS = b.
Here we can see that, ∆PQR and ∆PQS are right angled triangles .
Here, the value of RS would be,
\(\longrightarrow b = p - a \\\)
Finding the value of "p" :-
In ∆PQS ,
\(\longrightarrow \tan 45^o =\dfrac{perpendicular}{base} \\\)
\(\longrightarrow 1 = \dfrac{72cm}{p}\\\)
\(\longrightarrow \large \pmb { p = 72cm }\\\)
Finding the value of "a" :-
In ∆PQR , we can use Pythagoras theorem .
According to which, in a right angled triangle, the sum of squares of base and perpendicular is equal to the square of hypotenuse. Hypotenuse is the longest side of the triangle and the side opposite to 90° is hypotenuse.So that,
\(\longrightarrow\Large \pmb{\boxed{ p^2 + b^2 = h^2 }}\\\)
where the symbols have their usual meaning.
On substituting the respective values, we have;
\(\longrightarrow 72^2 + a^2 = 97^2 \\\)
\(\longrightarrow a^2 = 97^2-72^2 \\\)
\(\longrightarrow a^2 = 9409 - 5184 \\\)
\(\longrightarrow a^2 = 4225 \\\)
\(\longrightarrow a =\sqrt{4225}\\\)
\(\longrightarrow \large\pmb{ a = 65\ cm } \\\)
Hence we can find the value of b as ,
\(\longrightarrow b = p-a \\\)
\(\longrightarrow b = 72cm - 65cm\\\)
\(\longrightarrow b = 7cm \\\)
\(\longrightarrow\large\pmb{\underline{\boxed{\pmb{ \overline{RS} = 7cm }}}}\\\)
Therefore the value of RS is 7cm .
Find the domain and range.
{(6,6), (5,5), (-6,-9), (-1,7), (-12,-2)}
domain = {6, -6, -12,-1, 5); range = {6, -9,-2, 7,5}
domain = {6, 6, -6, -9, -12}; range = {-2, -1, 7, 5, 5}
domain = {6, -9, -2, 7,5}; range = {6, -6, -12,-1,5}
domain = {-2, -1, 7,5, 5}; range = {6, 6, -6, -9, -12}
Answers
Compare the following scores: A score of 75 on a test with a mean of 65 and a standard deviation of 8 A score of 75 on a test with a mean of 70 and a standard deviation of 4
A) A score of 75 with a mean of 70 and a standard deviation of 4 is better.
B) The two scores are statistically the same.
C) A score of 75 with a mean of 65 and a standard deviation of 8 is better
D) You cannot determine which score is better from the given information.
Answers
Answer:
The two scores are statistically the same
Step-by-step explanation:
Brady has $20,000 in student loans with 3.3% interest that he plans to pay off in 5 years. Find the total cost of repayment.
Answers
The total cost of repayment over 5 years is $23,300.
What is the total cost of repayment?A loan repayment refers to the act of paying back money previously borrowed from a lender.
To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.
The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)
Interest = Principal * Interest Rate * Time
Given:
Principal amount is $20,000
Interest rate is 3.3%
Duration is 5 years.
Interest = $20,000 * 0.033 * 5
Interest = $3,300
Total Cost of Repayment = Principal + Interest
= $20,000 + $3,300
= $23,300.
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Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answers
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
PLEASE ANSWER FAST I WILL GIVE BRAINLIEST
Answers
Oak Hill had a greater average rate of change.
Which town will eventually have a greater population?It is likely that Poplar Grove will have a greater population than Oak Hill at some point in the future.
Explain.We can use the given function to determine which town will eventually have a greater population . The function H(x) = 10x^2 + 10x + 500 represents the population of Oak Hill and we calculated that its population in 1970 was 500 and its population in 2020 was 25500.
For Poplar Grove, we know that its population increased by 8% each year. We can express the population of Poplar Grove as a function of time (in years) since 1970 using the formula for compound interest:
P(t) = 200 * (1 + 0.08)^t
Where P(t) is the population of Poplar Grove in t years since 1970.
To determine which town will eventually have a greater population, we need to find the value of t for which P(t) is greater than H(t):
200 * (1 + 0.08)^t > 10t^2 + 10t + 500
We can solve this inequality for t using algebra. At this point, it becomes quite complex and difficult to solve analytically. It would be easier to solve numerically, either by graphing both functions and finding the intersect, or by using a numerical solver to find the value of t when the population of Poplar Grove surpasses that of Oak Hill.
However, we can make some observations based on the functions themselves. The function for Poplar Grove's population (P(t)) is an exponential function, and so it grows exponentially over time. In contrast, Oak Hill's population function (H(t)) is a quadratic function, and so it grows at a slower rate than the exponential function with time. Therefore, it is likely that Poplar Grove will have a greater population than Oak Hill at some point in the future.
Answer:
Let t = 0 represent 1970.
a. For Oak Hill:
H(0) = 500, H(50) = 26,000
Average rate of change:
25,500/50 = 510 people per year
For Poplar Grove:
G(0) = 200,
G(50) = 200(1.08^50) = 9,380
Average rate of change:
9,180/50 = 186 people per year
So Oak Hill had a greater average rate of change from 1970 to 2020.
b. Poplar Grove will eventually have a greater population.
A sample is selected from a population with a mean of μ = 65 and a standard deviation of σ = 15. if the sample has n = 9 scores, what are the expected value of m and the standard error of m?
Answers
The Expected value of M is 65
The Standard error of M is 5
The mean of the distribution of sample means is called the expected value of M.The standard deviation of the distribution of sample means is called the standard error of M.Given,
The sample score, n = 9
The Standard deviation, σ = 15
Population mean, μ = 65
Then,
The Expected value of M = μ
∴ The Expected value of M = 65
The Standard error of M = σ/\(\sqrt{n}\)
\(=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5\)
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What would be the missing step in this problem?
Answers
Answer:
Below
Step-by-step explanation:
The missing step is the factorization of the quadratic
(x+3)(x+2)
PLLLLZZZZ HELP MEH Anne is putting 315 pictures into scrapbooks. She puts 6 pictures on each page. If Anne fills as many pages as she can, how many pictures will she have left over?
Answers
Answer:
3
Step-by-step explanation:
She's got 315 total pictures. if she uses one page for 6 pictures then she will fix 52 and a half pages. if only half the page is filled you have 3 photos left
The number of pictures leftover in the scrapbooks is A = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of pictures = 315
The number of pictures in each page = 6
Since Anne can only fill complete pages, she will use 52 pages. The remaining pictures will be:
The remaining pictures = total pictures - (pictures per page x pages used)
On simplifying the equation , we get
The remaining pictures A = 315 - (6 * 52)
The remaining pictures A = 315 - 312
The remaining pictures A = 3
Hence , Anne will have 3 pictures left over.
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Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
Answers
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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Match the following. 1. the smallest multiple that two or more given numbers have in common multiple 2. a number resulting from multiplying a given number by an integer solution 3. the least common multiple of two or more denominators solve 4. the value(s) of a variable that will make an algebraic sentence true least common denominator 5. the process for finding the solution(s) to an algebraic equation least common multiple
Answers
Here are the matching pairs for the given question:
1. The smallest multiple that two or more given numbers have in common multiple
2. A number resulting from multiplying a given number by an integer solution
3. The least common multiple of two or more denominators Solve
4. The value(s) of a variable that will make an algebraic sentence true Least common denominator
5. The process for finding the solution(s) to an algebraic equation Least common multiple
1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.
2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.
3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.
4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.
5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.
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Which sequences of transformations confirm the congruence of shape ii and shape i?
Answers
To confirm the congruence between Shape II and Shape I, a sequence of transformations can be applied. The specific sequence depends on the given information about the shapes and the desired congruence criteria.
Congruence between two shapes means that they have the same shape and size. To confirm the congruence of Shape II and Shape I, we need to perform a series of transformations that preserve both shape and size.
Common transformations that preserve congruence include translation (slide), rotation (turn), reflection (flip), and dilation (resize). The specific sequence of transformations depends on the given information about the shapes.
For example, if Shape II can be obtained from Shape I through a combination of translation, rotation, and reflection, we would need to apply those transformations in the correct order and direction to confirm congruence. The sequence might involve translating Shape I to coincide with Shape II, rotating Shape I to match the orientation of Shape II, and reflecting Shape I to align with Shape II.
It is important to analyze the given shapes, their corresponding sides, angles, and other properties to determine the appropriate sequence of transformations that confirm their congruence. By applying the correct sequence, we can demonstrate that the two shapes are congruent.
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