The true equation would be = DE/DF = AB/AC
What does an equivalent ratio look like?
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Are all proportions an equivalent ratio?
Proportional quantities are represented by a collection of corresponding ratios. We can claim, for instance, that 2:3 and 4:6 are proportionate.
Is proportion a constant?
"X is to Y as A Is to B" is how a proportion is expressed. Cross products are the xb and ay products. A proportion's cross products are consistently equal.
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find 3
Consecutive integers
Whose sum is 39
Answer:
12 , 13 and 14
Step-by-step explanation:
Question 6 of 20 :
Select the best answer for the question
6. The solution to 2 x 27 will be what kind of number?
A. Even
B. Odd
C. Prime
D. Perfect square
Mark for review (Will be highlighted on the review page)
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Answer:
The answer is A. (an even number)
Step-by-step explanation:
2 x 27 is equivalent to 54 and 54 is an even number.
A school chorus has 80 sixth-grade students and 66 seventh-grade students. The music director wants to make groups of performers with the same combination of sixth- and seventh- grade students in each group. She wants to form as many group as possible. If that many groups are formed, how many students of each grade level would be in each group?
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
hope i helped!
Based on the picture, Planter B is 9 inches by 3 inches by 3 inches. What is its volume?
Answer:
81
Step-by-step explanation:
for the volume you just multiple length, height, and depth
Answer: 81.
Step-by-step explanation:
9 x 3 x 3 . LxWxH brother!
Given m
n, find the value of x.
הון
n
.
80°
Answer: =
Submit Answer
PLS HELP
Answer:
x + 80°= 180° ( angles made in straight line)
x = 180°-80°
x = 100°
hope it is helpful to you
Answer:
check ur Answer in the attachment .
a beam having a circular cross-section of diameter, D, is designed to resist a maximum bending moment of 80kNm. the maximum allowable bending stress is 500MPa what is the minimum required diameter, D, of the cross section of the beam?
To determine the minimum required diameter (D) of the cross-section of the beam, we need to consider the maximum bending moment and the maximum allowable bending stress.
The bending stress in a beam is given by the formula:
σ = (M * c) / I
Where σ is the bending stress, M is the maximum bending moment, c is the distance from the neutral axis to the outermost fiber (which is equal to half of the diameter for a circular cross-section), and I is the moment of inertia of the cross-section.
Rearranging the formula, we have:
D = (2 * M) / (σ * π)
Substituting the given values, with M = 80 kNm (converted to Nm) and σ = 500 MPa (converted to N/m²), we can calculate the minimum required diameter (D):
D = (2 * 80,000 Nm) / (500,000,000 N/m² * π)
D ≈ 0.255 meters or 255 mm
Therefore, the minimum required diameter of the cross-section of the beam is approximately 0.255 meters or 255 mm to resist the maximum bending moment of 80 kNm within the allowable bending stress of 500 MPa.
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Calculate the profits for company Econislife based on the figures in the table below. What is the profit-maximizing level of output? What is the profit at this quantity? Econislife Total Revenue and Total Cost Quantity (Q) Total Revenue (TR) Total Costs (TC) 1 $28 $40 2 $56 $45 3 $84 $55 4 $112 $72 5 $140 $120
Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.
Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.
To find the profit-maximizing level of output, we compare the profits at different quantities.
Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12
Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11
Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29
Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40
Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20
From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
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Find the perimeter of the figure.
Answer:
75
Step-by-step explanation:
9 + 9 + 9 + 9 + 9 + 30 = 75
Good luck on your assignment!
help pls !ASAP! it a rq question
write the equation of the line in slope intercept form if its slope is 3 and y intercept is -5
If you answer correctly I will give brainliest.
Answer:
y = 3x - 5
Step-by-step explanation:
1. The slope-intercept form a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Given the values of m and b, let's plug them in:
\(y = (3)x+(-5)\) \(y = 3x-5\)Therefore, the equation of the line in slope-intercept form is y = 3x - 5.
Have a lovely rest of your day/night.
The equation of the line in slope intercept form is y=3x-5.
Given that, slope is 3 and y intercept is -5.
What is the slope intercept form?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
Put m=3 and b=-5 in y = mx + b and simplify.
That is, y=3x-5
Therefore, the equation of the line in slope intercept form is y=3x-5.
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I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
What are the two decisions that you can make from performing a hypothesis test?
The two decision while performing hypothesis, these are -
Reject the null hypothesisFail to reject the null hypothesis.What is hypothesis?an assertion on a population's makeup. Frequently, a population parameter is used to express it. A statistical hypothesis that is to be tested is known as a null hypothesis.
Alternative hypothesis: A hypothesis that differs from the null hypothesis.
In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.
These claims list certain factors as well as their suggested outcomes. Cavities arise as a result of the variable in this case, which is the sugar intake.
The decisions are -
Reject the null hypothesisFail to reject the null hypothesis.To know more about hypothesis refer to:
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Would the missing value be 12cm?
Answer: The missing value, y = 24
Step-by-step explanation:
The triangles are similar, so the sides are proportional.
The length of side BD is 10. The segment AD is also 10. Add them to get the length of side AB.
DE is 12
12:10 = y:20 . 20/10 = 2 2×12 = 24
Please help it's argent...!
and also give explanation. thx!
Answers:
a = 63
b = 27
==============================================
Explanation:
For now, focus on triangle COA.
Since OC and OA are the two radii, this means OC = OA. Furthermore, it means triangle COA is isosceles.
Any isosceles triangle has its base angles congruent to one another. In this case, the base angles are A and C. Both are equal to lowercase 'a'.
So now we know that triangle COA has angles A = a, C = a, O = 54. The three angles of any triangle add to 180
C+O+A = 180
a+54+a = 180
2a+54 = 180
2a = 180-54
2a = 126
a = 126/2
a = 63
---------------------------
Now turn your attention to triangle ABC. This is a right triangle (due to Thales Theorem). The right angle is at angle C, so C = 90.
Use the same idea as before to find b
A+B+C = 180
a+b+90 = 180
63+b+90 = 180
b+153 = 180
b = 180-153
b = 27
combine like terms 9y+y
Answer:
10y is the answer
Step-by-step explanation:
i think this is the answer
Answer: 10y
Step-by-step explanation:
All you have to do is add the 9y to the y.
9y + y = 10y
hope this helps
Mr. Cromleigh noticed that tickets were on sale for an upcoming game and wanted to take his mom. Tickets were 25% off for teachers and originally cost $45. He also had to account for a 5% sales tax. What was the total cost of the 2 tickets?
The 2 tickets cost --------------- dollars. He better ask his mom for a higher allowance!
The total cost of the two tickets is $70.88.
What is discount?A discount is a reduction in the original price of an item or service. It is often used as a marketing strategy to increase sales by making the product more affordable or attractive to consumers. The amount of the discount is typically expressed as a percentage of the original price.
In the given question,
The cost of one ticket after a 25% discount is:
45 * 0.75 = $33.75
The cost of two tickets is:
2 * 33.75 = $67.50
Adding the 5% sales tax:
67.50 * 1.05 = $70.88
Therefore, the total cost of the two tickets is $70.88.
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Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
How much vinegar does Bonnie mix with every 1 milliliter of soy sauce?
From the details that we have here we can say that the amount of vinegar that is mixed with 1 milliliter of soy sauce is 0.67
How to solve for the ratio of vinegar o the soy saucethe vinegar is given as 100
the soy sauce is given to be 150
The ratio would be
100 / 150
= 0.67
hence we can say that the amount of vinegar that is mixed with 1 milliliter of soy sauce is 0.67
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Rewrite using a single positive exponent.
8
.8
-3
I have at least 20 potatoes
The option C represent the correct inequalities.
What is inequality ?
Inequality refers to the condition where there is an unequal distribution of resources, opportunities, and benefits among individuals or groups in a society. This can be based on various factors, such as income, wealth, race, gender, ethnicity, education, and social class.
Inequality can take many forms, ranging from economic inequality where some individuals or groups have much more wealth or income than others, to social inequality where some groups face discrimination or exclusion based on their identity.
Inequality can have negative consequences for individuals and society as a whole, including reduced social mobility, increased poverty, and social unrest. Addressing inequality often involves implementing policies and initiatives that aim to level the playing field and provide equal opportunities for all individuals, regardless of their background or circumstances.
Inequality can be represented using various mathematical symbols and expressions, depending on the type of inequality being discussed. Here are some examples:
For a simple inequality comparing two numbers, we use the following symbols:
Greater than: >
Less than: <
Greater than or equal to: ≥
Less than or equal to: ≤
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Negative 2 multiply to blank equal negative fourteen
Answer:
7
Step-by-step explanation:
-2 x _ = -14
2(7)=14
(-)x(-) = +
-2(7)=-14
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?
y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds
The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
How to determine an equation of the line parallel to another line
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
- 3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
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Answer: The correct answer is B
37 is what percent of 148? I also need 148 is what percent of 37? Thank you!
Answer:
25%
400%
Step-by-step explanation:
37=148x
x=0.25
25%
148=37x
x=4
Answer:
first: 37×100=3700
3700/148=25 percent
second: 148×100=14800
14800/37 =400 percent.
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Can Someone help me with this work
Answer:
Oar City is cheaper
Step-by-step explanation:
27/3=9 (Boat Bunker)
45/9=5 (Oar City)
$4 Cheaper than Boat Bunker
Brainlist?
Answer: Oar City is the answer.
Step-by-step explanation:
clarissa needs 42,500 loan in order to buy a car which loan option would allow her to pay the least amount of intrest
The second loan option would allow Clarissa to pay the least amount of interest since it has a lower interest rate and a shorter repayment term.
What is simple interest?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
The loan option that would allow Clarissa to pay the least amount of interest would be the one with the lowest interest rate and the shortest repayment term.
If we assume that Clarissa has the option of choosing between two loans, we can compare their interest rates and repayment terms to determine which one would be better for her.
Let's say the first loan has an interest rate of 5% and a repayment term of 5 years, while the second loan has an interest rate of 4% and a repayment term of 4 years.
Using a loan calculator or a financial formula, we can calculate the total amount of interest that Clarissa would pay for each loan. For the first loan, the total interest paid would be:
Total interest = (Loan amount) x (Interest rate) x (Repayment term)
Total interest = 42,500 x 0.05 x 5
Total interest = 10,625
For the second loan, the total interest paid would be:
Total interest = (Loan amount) x (Interest rate) x (Repayment term)
Total interest = 42,500 x 0.04 x 4
Total interest = 6,800
Therefore, the second loan option would allow Clarissa to pay the least amount of interest since it has a lower interest rate and a shorter repayment term.
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Complete Question:
Find the inverse of the function.
f(x) = \(4x^{2} \\\) , x \(\leq\) 0
The inverse of g(x) = ___
Answer:
Step-by-step explanation:
The inverse is found by interchanging the x and y values and solve the result for y.
I will use y for f(x)
y = 4x^2
Inverse
x = 4y^2 Divide by 4
x/4 = 4y^2 /4
x/4 = y^2 Take the square root of both sides.
sqrt(x/4) = sqrt(y^2)
y = sqrt(x/4)
g(x) = sqrt(x/4) If you have a very fussy teacher, the inverse function could be written as
g(x) = +/- sqrt(x)/2
I expect that if the question is computer marked, I would try g(x) = sqrt(x)/2 first.
Find a vector a with representation given by the directed line segment AB .Draw AB and the equivalent representation starting at the origin.
A (0, 3, 1), B (2, 3, -1)
The equivalent representation starting at the origin is the vector (2, 0, -2), which can be represented by a directed line segment starting at the origin and ending at (2, 0, -2).
A vector is a mathematical object that has both magnitude and direction. In three-dimensional space, a vector can be represented by a directed line segment.
To start, we can plot the two points A and B in three-dimensional space. Next, we can draw the directed line segment AB, which represents our vector a.
The length of AB represents the magnitude of the vector a and the direction of AB represents the direction of the vector a.
To find the equivalent representation starting at the origin, we need to subtract the initial point A from the terminal point B.
This gives us a new vector that starts at the origin and represents the same direction and magnitude as the original vector a. The equation for this new vector is:
vector a = B - A = (2, 3, -1) - (0, 3, 1) = (2, 0, -2)
So, the equivalent representation starting at the origin is the vector (2, 0, -2). This vector can be represented by a directed line segment starting at the origin and ending at the point (2, 0, -2).
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Find a possible solution to the equation cos(x+2)=sin(3x)
A.
x=0. 5 degrees
B.
x=1 degree
C.
x=22 degrees
D.
x=44 degrees
A possible solution to the equation cos(x+2)=sin(3x) is x = 22 degrees
The correct answer is an option (C)
Consider a trigonometric equation,
cos(x+2) = sin(3x)
For value x = 0.5 degrees,
cos(x + 2) = cos(2.5)
= 0.999
and sin(3x) = sin(1.5)
= 0.026
For x = 1 degree,
cos(x + 2) = cos(3)
=0.9986
sin(3x) = sin(3)
= 0.052
For x = 22 degrees
cos(x + 2) = cos(24)
= 0.913
sin(3x) = sin(66)
= 0.913
for x = 44 degrees,
cos(x + 2) = cos(46)
= 0.69
sin(3x) = sin(132)
= 0.743
Therefore, the solution to an equation cos(x+2) = sin(3x) is x = 22 degrees
The correct answer is an option (C)
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The area of the triangle below is 5/12 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
1/2 ft is the height
Answer:
5/6
Step-by-step explanation:
I NEED HELP QUICKLY for both X
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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HELP! 6th grade work due today pleaseeeeee
Answer:
s = 5 feet
Step-by-step explanation:
.................