Answer:
-21y+7
Step-by-step explanation:
-7(3y-1) = 3y(-7) -1(-7) = -21y+7
Answer:
-21y + 7
Step-by-step explanation:
Just times - 7 with 3y then - 7 times with - 1
In line 23, the "coma" represents the
(A) rebellion of students against traditional texts
(B) lack of enthusiasm for reading in general
(C) scarcity of books on official reading lists
(D) difficulty of understanding archaic language
(E) negative effects of popular media
In line 23, the "coma" represents the: lack of enthusiasm for reading in general (Option B).
What is a comprehension passage?In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.
Now,
The line 23 of the passage says: "It is because, while we have been arguing so fiercely about which books make the best medicine, the patient has been slipping deeper and deeper into a coma"."Lethargic" or "apathetic" are other synonyms for "comatose." The author implies that Americans' love of reading is "slipping deeper and deeper" by drawing a comparison between the "coma" in line 23 and the "condition of reading" in line 18.Thus, none of the other options fit into the context, other than Option B.Hence, Option B is the most appropriate, i.e., In line 23, the "coma" represents the: lack of enthusiasm for reading in general (Option B).
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6th grade math help me pleaseeee
Answer:
use math- way for those and your other homework i promise it'll work!
Step-by-step explanation:
Simplify. (Integer Exponents)
\(\frac{a^4c^2e^0}{b^-^1d^-^3}\)
help please ;;
i attached the question below
\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)
Step-by-step explanation:
Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,
\(a^2+b^2=c^2\)
\(-13^2+b^2=85^2\)
\(169+b^2=7225\)
\(b^2=7056\)
\(b=\sqrt{7056}\)
\(b=\pm84\)
Taking only the positive number, the adjacent angle is 84
Now that we have all 3 sides, we can find the cosine.
Cosine is adjacent/hypotenuse
Therefore,
\(Cos(\theta_{1} )=\frac{84}{85}\)
See the attached picture:
An equivalent fraction for 6/8 is..?
12/16
explanation: i did the math
Ms. Rios wants to share $1 equally among 6 students. What fraction of a dollar will each student get?
Answer:
17 cents
Step-by-step explanation:
Firstly, as we know this is going to become a fraction, we can replace $1 with $1.00.We are trying to divide $1.00 amongst 6 people. This is a division problem, and will look like 1.00 ÷ 6.We get .166... which we can round to 17 cents, or .17.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
Is it Translation, Dilation, Reflection or rotation
This is a rotation of 180 degrees about the origin.
what is 22 divided by a number s
Answer:
22 divided by 2 is 11
Step-by-step explanation:
anyone think they can help with this?
Given one 4 -digit hex number a and b, how many bits of storage space is needed to store a?a+b ? a−b?: Separate your answers with a comma, like this: 3,2,1 No spaces! Question 5 In general, given an x-bit number a and a y-bit number b, how many bits of storage space is needed to store a+b ? a−b ? Hint: You will need to express your answer using a ' max ' function, like this: max(1,2) Hint2: Both questions have the same answer
The decimal number of bits required to store a + b or a - b is 17 bits.
The number of bits required to store the result of the operations equal.
For the given 4-digit hex numbers a and b, convert them to binary to determine the number of bits required. Each hexadecimal digit corresponds to 4 binary bits.
Therefore, the number of bits required to store a is 4 ×4 = 16 bits, and the number of bits required to store b is also 16 bits.
To calculate the number of bits required to store a + b or a - b, to consider the maximum value that can result from these operations. The maximum value will occur when both a and b have their highest possible values.
For a 4-digit hex number, the highest value is "FFFF" in hexadecimal or 65535 in decimal. When performing addition or subtraction, the maximum result will be 2 ×65535 = 131070, which represented by 17 bits.
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Every winter, your family sets up a hot chocolate stand near the local ice skating rink. You sell cups of hot chocolate for $1.50 each, and you usually ...
During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.
However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.
By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.
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Evaluate the six trigonometric functions of the angle 0
is right
Answer:
1. Sine θ = 1/3
2. Cos θ = 2√2 / 3
3. Tan θ = √2 / 4
4. Cosec θ = 3
5. Sec θ = 3√2 / 4
6. Cot θ = 2√2
Step-by-step explanation:
We'll begin by determining the adjacent. This can be obtained as follow:
Hypothenus (Hypo) = 9
Opposite (Opp) = 3
Adjacent (Adj) =?
Hypo² = Adj² + Opp²
9² = Adj² + 3²
81 = Adj² + 9
81 – 9 = Adj²
72 = Adj²
Take the square root of both side
Adj = √72
Adj = 6√2
Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:
1. Determination of Sine θ
Hypothenus = 9
Opposite = 3
Sine θ =?
Sine θ = Opposite / Hypothenus
Sine θ = 3/9
Sine θ = 1/3
2. Determination of Cos θ
Adjacent = 6√2
Hypothenus = 9
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = 6√2 / 9
Cos θ = 2√2 / 3
3. Determination of Tan θ
Opposite = 3
Adjacent = 6√2
Tan θ =?
Tan θ = Opposite / Adjacent
Tan θ = 3 / 6√2
Tan θ = 1 / 2√2
Rationalise
(1 / 2√2) × (2√2 /2√2)
= 2√2 / 4×2
Tan θ = √2 / 4
4. Determination of Cosec θ
Sine θ = 1/3
Cosec θ =?
Cosec θ = 1 / Sine θ
Cosec θ = 1 ÷ 1/3
Cosec θ = 1 × 3/1
Cosec θ = 3
5. Determination of sec θ
Cos θ = 2√2 / 3
Sec θ =?
Sec θ = 1 / Cos θ
Sec θ = 1 ÷ 2√2 / 3
Sec θ = 1 × 3 / 2√2
Sec θ = 3 / 2√2
Rationalise
= (3 / 2√2) × (2√2 / 2√2)
= 3 × 2√2 / 4×2
Sec θ = 3√2 / 4
6. Determination of Cot θ
Tan θ = √2 / 4
Cot θ =?
Cot θ = 1 / Tan θ
Cot θ = 1 ÷ √2 / 4
Cot θ = 1 × 4 / √2
Cot θ = 4 / √2
Rationalise
= (4 / √2) × (√2 / √2)
= 4√2 / 2
Cot θ = 2√2
question what is the hundreds digit of the integer z? (1) 10z > 25,670 (2) z rounded to the nearest hundred is 2,600.
Part a: 10z > 25,670; infinite integer.
Part b: Range = 2550 to 2649.
Explain the term integer?All whole numbers including negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results. An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 10, 21, 15, 18, 97, and 343.Part a: 10z > 25,670
Divide the inequality on both sides by 10.
z > 2,567
Thus, there are infinite number which are greater than 2567.
Part b: z rounded to the nearest hundred is 2,600.
Range = 2550 to 2649.
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Question Help
9
At a grocery store, you want to buy 2 lb of ham. What decimal should the digital scale show?
10
Answer:
0.2 lb of ham in decimal digits
Step-by-step explanation:
At a grocery store, you want to buy 2/1/10 lb of ham
2 / 1 divided by 10
2/1 = 2 so now
2/ 10 = 1/ 5
Hence, 0.2lb of ham in decimal digits
How many payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually?.
By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12
What is Compound interest?
The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
This problem can be solved by using the concept of compound interest
Number of payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)
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please help me I will fail if not answere
Answer: B. 24 ft
Step by step explanation: I know that the cabbage's percent is 15%, so then you have to take 15% of 160 and that is 24 :D
Hope this helps!
Three less than the quotient of a number and 4 is 18. What is the number? Let n be the unknown number.
Answer:
n = 84
Step-by-step explanation:
18 + 3 = 21, so that means the quotient of the number and 4 is 21.
21 * 4 = 84
CHECK:
84 / 4 = 21
21 - 3 = 18
Greg has the following utility function: u = x038x962. He has an income of $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals.
The compensating variation is $13.52.
The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x<sup>0.38</sup>x<sup>0.962</sup>. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).
To calculate the compensating variation, we can use the following formula:
CV = u(x1, x2) - u(x1', x2')
where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.
We can find u(x1, x2) using the following steps:
Set x1 = 83 / 4 = 20.75.
Set x2 = 83 - 20.75 = 62.25.
Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.
We can find u(x1', x2') using the following steps:
Set x1' = 83 / 5 = 16.60.
Set x2' = 83 - 16.60 = 66.40.
Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.
Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.
To two decimal places, the compensating variation is $13.52.
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Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?
Answer:
Step-by-step explanation:
let price of Orange=x
price of Apple=2x
x+2x=20
3x=20
x=20/3
cost of Apple=2x=2×20/3=40/3=$13 1/3
Can I please get help
Answer:
14
Step-by-step explanation:
sum of three angles of a triangle is 180
(x-4) + (11x-11) + (x+13) = 180
13x -2 = 180
13x = 182
x=14
Someone please help am kind of stuck 10 points awarded and brainless please help and thank you
Answer:
157.92 + d = ?
Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.
I hope this helps.
paige just finished a road trip where she visited the following square pyramids: the bent pyramid and the red pyramid. the table below shows the approximate dimensions of the two pyramids. dimensions of pyramids base side length height bent pyramid 619 feet 332 feet red pyramid 722 feet 341 feet paige has to write a paper on volume for school and needs some help. what is the difference in volume of the two pyramids, rounded to the nearest cubic foot?
The difference in volume between the two pyramids is 12,371,740 cubic feet.
To find the volume of a square pyramid, you use the formula :
V = (1/3)Bh, where B is the area of the base and h is the height.
Using the dimensions given in the table, we can calculate the volumes of the two pyramids:
- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet
To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:
38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.
Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.
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What are the zeros of g(x)= x³ + 6x² - 9x-54?
Answer:
3,-3
Step-by-step explanation:
g(3)= (3)³+6(3)²-9(3)-54
= 27+54-27-54
=81-81
= 0
g(-3) = (-3)³+6(-3)²-9(-3)-54
= -27+54+27-54
= 27-27
= 0
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45 strikeouts in 36 inning or 96 strikeouts in 80 innings
Homework please help
Answer:
A
Step-by-step explanation:
\(y = \frac{9}{4}x - 8 \\\\y = \frac{9}{4}x +\frac{9}{4} \\\\\frac{9}{4}x - 8 = \frac{9}{4}x +\frac{9}{4}\\\\-8 = \frac{9}{4}\\\)
This equation is incorrect, therefore there are no solutions.
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Please Help With Math Questions, I keep getting people with wrong answers answering. SO please oh please help me if you know the answers
Answer:
which question that you want
find the measures of A ,W,X,Y,Z
Answer:
∠A = 120° (180°-60°)
∠W = 60° (b/c ∠W=∠X)
∠Y = 100° (b/c 180°-80°)
∠X = 60° (180°-120°)
∠Z = 120° (180-60°)
Step-by-step explanation:
im unsure about A and W
Answer:
it is a quadrilateral.a+60°+120°+80° = 360°a+260° = 360°a= 360° - 260°a = 100°finding yy = ?80°+y =180°. (linear pair)y = 100° - 80°y=100°now, find z .z + 60° = 180°z= 180°-60°z= 120°w = ?W+a = 180.w+100°=180.w=180°-100°w=180°find x,x+120° = 180°x= 180°- 120°x=60°a = 100°. , x = 60°. , y =100°. , z =120°. , w = 180.please mark as brainliest.......i really need help on this
Answer:
5 feet
Step-by-step explanation: