Answer:
6.48
Step-by-step explanation:
you have to use the sin rule
Answer:
6.48
Step-by-step explanation:
Kellie is dlowed to watch up
to 90 minutes of TV per day.
If she watched 10 minutes
before school, how many 20-
minute TV episodes can she
watch after school?
90 min per day
10 min before school
=> she can watch TV during (90-10) 80 minutes after school
if each episode = 20 minutes
she will be able to watch 80:20 soit 4 episodes after school
Simplify the expression by combining like
terms:
3+ v + 4v2 + 2 - V2 + 3v
]
Answer:
I believe the answer would be 3v2+4v+5
During one team's season, the team has won 4 games out of the 12 games they have played. The team will play 42 games by the end of the season. Using this information, predict how many games the team will win.
Answer:
i say the team would win about 14 games
∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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please help find the area!!
Answer:
163.73
Step-by-step explanation:
Triangle area:
16x12 = 192cm²
Circle area:
pi(3²) = 28.27cm²
Difference in the area:
192-28.27 = 163.73cm²
Angle Pairs ( Lines cut by a Transversal )
i don't really get it. an explanation would be nice, too, if possible..
- due in 3 hours
please answer ONLY if you know, thank you :)) !!
What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.
What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.
What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.
What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.
What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.
What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.
Answer:
See below
Step-by-step explanation:
What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.
Answer: Exterior alternate angles
Exterior alternate angles are equal in measure.
\(\implies m\angle 8 = m\angle 3\)
What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.
Answer: Interior angles on the same side of transversal.
Interior angles on the same side of transversal are supplementay.
\(\implies m\angle 6 + m\angle 2 =180\degree\)
What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 5 = m\angle 3\)
What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 8 = m\angle 2\)
What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.
Answer: Exterior angles on the same side of transversal
Exterior angles on the same side of transversal are supplementay.
\(\implies m\angle 7+ m\angle 3=180\degree\)
What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 6 = m\angle 1\)
What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.
Answer: Interior angles on the same side of transversal
Interior angles on the same side of transversal are supplementay.
\(\implies m\angle 5+ m\angle 4=180\degree\)
What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.
Answer: Alternate angles
Alternate angles are equal in measure.
\(\implies m\angle 6 = m\angle 4\)
What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.
Answer: Exterior alternate angles
Exterior alternate angles are equal in measure.
\(\implies m\angle 7 = m\angle 1\)
What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.
Answer: Exterior angles on the same side of transversal.
Exterior angles on the same side of transversal are supplementay.
\(\implies m\angle 8+ m\angle 1=180\degree\)
\( \: \)
Solution :
⠀
1. What are pair relation exists between angle 8 and angle 3?
Alternate exterior angles. A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.⠀
2. What are pair relation exists between angle 6 and angle 2?
∠6 + ∠2 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.⠀
3. What are pair relation exists between angle 5 and angle 3?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
4. What are pair relation exists between angle 8 and angle 2?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
5. What are pair relation exists between angle 7 and angle 3?
∠7 + ∠3 = 180°. Therefore, ∠7, ∠3 is a pair of exterior angles on the same side of the transversal.⠀
6. What are pair relation exists between angle 6 and angle 1?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
7. What are pair relation exists between angle 5 and angle 4?
∠5 + ∠4 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.⠀
8. What are pair relation exists between angle 6 and angle 4?
Alternate interior anglesA pair of angles in which one arm of each of the angles is on the opposite sides of the transversal is called a pair of alternate interior angles.⠀
9. What are pair relation exists between angle 7 and angle 1?
Alternate exterior angles. A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.What does 1 square unit look like?.
1 square unit looks like the area of a square with side measuring 1 unit.
According to the question,
We have the following information:
1 square unit
Now, we know that the square units mean that it is the area of the figure. Now, it can be for any figure whether it is a triangle or square or a circle but the measurements of the sides in such a way that the area found using the formulas of the given figure should be 1 square unit.
For example, if the side of the square is 1 unit then the area of the square is 1 square unit.
Hence, 1 square unit looks like the area of a square with side measuring 1 unit.
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im trying to see if what i think the answer is is correct for the width i got 2x^2+1
Given the expression:
\(10x^2+5x\)we already know that 5x is a common factor, then, if we divide each term by 5x we get:
\(\begin{gathered} \frac{10x^2}{5x}=2x \\ \frac{5x}{5x}=1 \end{gathered}\)then, we can factor the expression like this:
\(10x^2+5x=5x(2x+1)\)therefore, the width of Heng's area model is 2x+1
WILL GIVE BRAINLIEST!!!!
Solve the inequality:
n - 48 < 12
Answer: n < 60
Step-by-step explanation:
n - 48 < 12
n - 48 + 48 < 12 + 48
n < 60
The product of a number b and -1.6 is less than -9.6.
Answer:
I don't have Idea
A regular polygon has an exterior angle of 12°
Work out the number of sides of the polygon.
Answer:
So, a regular polygon with an exterior angle measure of 12 degrees has 30 sides.
find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. text({) 1/4, 2/9, 3/16, 4/25, ...text(})
The formula for the general term aₙ of the sequence 1/4, 2/9, 3/16, 4/25, ... is, aₙ = n/(n + 1)².
Given the sequence is: 1/4, 2/9, 3/16, 4/25, ......
We have to find the general formula for the terms of this sequence.
Here we can see that,
a₁ = 1/4 = =1/2² = 1/(1 + 1)²
a₂ = 2/9 = 2/3² = 2/(2 + 1)²
a₃ = 3/16 = 3/4² = 3/(3 + 1)²
a₄ = 4/25 = 4/5² = 4/(4 + 1)²
In this manner the general form for the n th term of the sequence is given by,
aₙ = n/(n + 1)²
Hence the formula for the general term aₙ of the sequence is, aₙ = n/(n + 1)².
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Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she cleans a pool. Which equation can be used to determine the profit, y, Michele earns after she cleans x pools?
Answer:
y=40x-85
Step-by-step explanation:
she makes 40 dollars each time she chargers for cleaning the pool but 85 dollars after spending that much for cleaning supplies.
4) a patient who just underwent a scheduled surgery and is in pacu. what should the nurse run the pump if they want to infuse a 1000ml bag of lactated ringers over 9 hours? ____ ml/hr
The nurse should run the pump at 111.1 ml/hr.
To infuse a 1000ml bag of lactated ringers over 9 hours, the nurse must determine the hourly rate at which the fluid should be infused. This can be done by dividing the total volume of the fluid (1000 ml) by the number of hours it will take to infuse it (9 hours).
So, the hourly rate would be:
1000 ml ÷ 9 hours = 111.1 ml/hr.
Therefore, the nurse should run the pump at 111.1 ml/hr in order to infuse the 1000ml bag of lactated ringers over 9 hours.
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I NEED HELP> ASAP PLEASEEEE
A car travels at an average speed of 68 miles per hour.How many miles does it travel in 4 hours and 15 minutes?
Answer:
289 miles.
Step-by-step explanation:
4 and 15 mins is 4.25 hours.68 c 4.25 = 289.Hope this helps.
What is the value of this expression?
40÷[24−4×(2+3)]
Answer:
10
Step-by-step explanation:
hope it helps
Answer:
10
Step-by-step explanation:
ya its right
Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures
Answer:
american sign language (ASL)
Linear equations: 5 +2(2x-3)+8x = -5x +2. and . 5 -2(2x-3)+8x = -5x +2
Plz show your work.
Answer:
hello,I'll edit the process and say step by step.
result= 28x-30= -70x²+73x-18 = -5x+2
Sorry, it was a little long process. I could not explain them all. I said the result directly.And I am Turkish, sorry if there is a problem with my pronunciation.But remember, you will do it according to the distribution in the parenthesis.
Which is equivalent to 3/8'? 2 OV ml O 8 3 22
Answer:
\( \huge{ \sqrt[3]{ {8}}^{x} = \boxed{ {8}^{ \frac{x}{3} } }✓}\)
3. 8^(x/3) is the right answer.
Expand
(2x - 3)4
Can you help me expand this by using the binomial theorem?
The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
How to expand the expression?The expression is given as:
(2x -3)^4
Using the binomial expansion, we have:
\((2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4\)
Evaluate the combination factors.
So, we have:
\((2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4\)
Evaluate the exponents and the products
\((2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81\)
Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
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the population of a town is 80000. if the rate of growth of population is 4% per year, estimate the population in the end of 2 yrs
According to the 2000 u.s. census, 7 out of every 25 homes are heated by electricity. at this rate, predict how many homes in a community of 12,000 would be heated by electricity. a. 6,725 homes b. 3,100 homes c. 3,360 homes d. 4,020 homes
The number of homes in a community of 12, 000 which would be heated by electricity, given the rate of houses heated, is c. 3,360 homes
How to find the number of houses ?To find the number of homes in the community which would be heated by electricity, first find the percentage of homes that are heated according to the U.S. Census :
= Number of houses heated / Total number
= 7 / 25
= 28 %
When given a community of 12, 000 homes therefore, the number of homes which would be heated are:
= Percentage of houses heated x Community size
= 28 % x 12, 000
= 3,360 homes
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Answer:
c. 3,360 homes
Step-by-step explanation:
A teacher took a survey of his eight class. After Finishing his survey, he found that there was no correlation between the number of miles the students live from school and the students grades. Which graph can represent the result of the survey?
Answer:
The graph in the middle with points all around the place would be the answer.
Step-by-step explanation:
The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.
What is 1/4 to the power of 3
Answer:0.015625
Step-by-step explanation:
Answer:
1/64 or 0.015625
Step-by-step explanation:
Hi!
I will do my best to help you.
When you are looking for a number to the power of three, you multiply that number three times.
Example: 3 to the power of 3
Wrong way: 3x3=9
Correct way: 3 x 3 x 3= 27
Remember, when doing power of threes, you don’t multiply the number given by three, you multiply the given number to itself three times.
Now that we know this, let’s solve 1/4 to the power of three.
1/4 x 1/4 x 1/4 = 1/64
1/64 simplified is 0.015625.
And that’s about it! Let me know if you have any questions, hope this helped. :)
Find
dx
dy
for the following equations. a. y=−x
2
+5x+2 b. y=2x
2
−8x+10 c. y=−2x
2
+9x−1
the derivative of y = -\(x^2\) + 5x + 2 is dy/dx = -2x + 5. . For y = 2\(x^2\) - 8x + 10 the dy/dx = 4x - 8. for y = -2\(x^2\)+ 9x - 1 the dy/dx = -4x + 9, after differentiation.
a. To find the derivative of y = -\(x^2\) + 5x + 2, we differentiate each term with respect to x. The power rule states that for a term of the form \(x^n,\) the derivative is n*\(x^(n-1)\). Applying this rule, we get:
dy/dx = -2x + 5
b. For y = 2\(x^2\)- 8x + 10, we again differentiate each term using the power rule:
dy/dx = 4x - 8
c. Lastly, for y = -2\(x^2\)+ 9x - 1, we differentiate each term:
dy/dx = -4x + 9
In each case, we obtain the derivative of y with respect to x. The resulting derivatives represent the instantaneous rate of change of y with respect to x at any given point on the curve. They also indicate the slope of the tangent line to the curve at that point. By finding the derivatives, we gain insight into the behavior and characteristics of the functions, such as the direction of increasing or decreasing values and the presence of maximum or minimum points.
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For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1
We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1, where I is the 2x2 identity matrix
Let A be the given 2x2 matrix A = [1 2 ; 1 1]. To find a 3x2 matrix B such that AB = I, where I is the 2x2 identity matrix, we can use the hint provided: If B1 and B2 are the columns of B, then ABj = Ij. This means that for each column j of B, we need to solve the equation ABj = Ij. For j = 1, we have AB1 = I1 = [1 0]. We can solve this equation by setting B1 = [a b], so that AB1 = [a+b 1] = [1 0]. This gives us the system of equations a + b = 1 and a = 0. Solving this system, we have a = 0 and b = 1, so B1 = [0 1].For j = 2, we have AB2 = I2 = [0 1]. We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1.
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Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters. Which measurement does 8 square meters represent?
Answer:
The 8 square meters represent the product of the height by the width of the wall and therefore, its area.
Step-by-step explanation:
Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.
In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.
man buys 300 articles at 4 for $6 and sold all of them at $2 each; find:
i)the profit made by the man on selling one article
(ii) his total profit on selling all the 300 articles
The man buys 300 articles at 4 for $6, which means that he pays:
$6 for every 4 articles, or $1.50 per article.
The man then sells all 300 articles at $2 each, which means that he earns:
$2 for every article.
To find the man's profit, we need to subtract his cost from his revenue. His cost is the amount he paid for the 300 articles, which is:
300 articles * $1.50 per article = $450
His revenue is the amount he earned from selling the 300 articles, which is:
300 articles * $2 per article = $600
So his profit is:
$600 - $450 = $150
To find the profit made by the man on selling one article, we can divide his total profit by the number of articles he sold:
$150 / 300 articles = $0.50 per article.
Therefore, the man's profit on selling one article is $0.50