Answer:
E. 100,000-110,000
Step-by-step explanation:
50×2,000=100,000 pounds
55×2,000=110,000 pounds
So the answer is 100,000-110,000 pounds
Answer:
E. 100,000-110,000
Step-by-step explanation:
2000 x 50=100,000
2000 x 55=110,000
please help me in this question.
with the steps please
Required factors of the given expression is (7-10x) and (5x-4).
What is factor?
A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.
Given expression is
\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)
We are Simplifying,
2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11
= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11
= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11
= -50x²+75x-28
= -(50x²-75x+28)
= -[50x²-(50+25)x+28]
= -1[5x(10x-7)-4(10x-7)]
= -(10x-7)(5x-4)
= (7-10x) (5x-4)
Required factors of the given expression are (7-10x) and (5x-4)
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As part of their employee benefits , all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.56% of the average of their three highest years’ salary. Maureen has worked for Middletown for 30 years and is retiring. Her highest salaries are $107,000, $107,800, and $108,198. Calculate Maureen’s pension.
Maureen's pension would be $50,035.20.
What is Percentage?
To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.
First, we need to calculate the average of Maureen's three highest salaries:
Average = (107,000 + 107,800 + 108,198) / 3
Average = 322,998 / 3
Average = 107,666
Next, we need to calculate 1.56% of this average:
Percentage = 1.56% * 107,666
Percentage = 1,667.84
Finally, we multiply this percentage by the number of years worked to find the pension:
Pension = 30 * 1,667.84
Pension = 50,035.20
So, Maureen's pension would be $50,035.20.
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Please help me find the missing angles. I am offering 100 points to anyone who answers the question.
Answer:
7.) angle is 20⁰, x is -12
8.) angle is 20⁰, x is 5
9.) angle is 20⁰, x is -5
10.) angle is 35⁰, x is 9.5
all the angles of a triangle add up to 180⁰
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. In an earlier study, the population proportion was estimated to be 0.38. How large a sample would be required in order to estimate the fraction of people who are captured after appearing on the 10 Most Wanted list at the 90% confidence level with an error of at most 0.03
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Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the C-intercept of the equation.
The C-intercept of the equation means that she will have to pay $15 per day for renting the car.
Interpreting the C-intercept of the equation.From the question, we have the following parameters that can be used in our computation:
C=0.32m+15
In the equation C=0.32m+15, the C-intercept represents the fixed cost of renting a car per day, which is $15 in this case.
This means that regardless of how many miles Janelle drives, she will have to pay $15 per day for renting the car.
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The purchase value of an office computer is $12,500. Its annual depreciation is $1875. Find the value of the computer after 6 years.
The purchase value of an office computer is $12,500. Its annual depreciation is $1875. then the value of the computer after 6 years is
1250
What is the simple definition of depreciation?
The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.
The value of the computer is decreasing by $1875 annually per year. So the amount of decrease in 6 years is: 6×1875=$11250 6 × 1875 = $ 11250
now
The purchase value of an office computer is $12,500
therefore
12500- 11250
= 1250
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What is 6 1/4% of 95?
What is 3/10% of 115?
52,000 = ? X 10^4
Write the answer in index form
Answer:
52,000 = 5.2 × 10⁴
Step-by-step explanation:
Standard Index form, also known as "scientific notation", is a way of expressing numbers as a product of a decimal number between 1 and 10, multiplied by a power of 10.
It is written in the form a × 10ⁿ, where 1 ≤ a < 10 and n is any positive or negative whole number.
To convert a number into standard index form, move the decimal point to the left or right until there is one non-zero digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 (the value of n).
If the decimal point has moved to the left, n is positive.If the decimal point has moved to the right, n is negative.Therefore, to convert 52,000 to scientific notation, move the decimal point 4 places to the left so that a = 5.2.
As the decimal point has been moved 4 places the left, n = 4.
Therefore, 52,000 = 5.2 × 10⁴.
predator and prey difference
Answer:
predator killed animals to eat and prey is described as organism that predator kill for food.
Determine the point estimate (LaTeX: \hat{p}p ^) of the population proportion and the margin of error (E) for the given confidence interval. Lower bound: 0.223, upper bound: 0.285 (Round to the nearest thousandth)
Answer:
The answer is below
Step-by-step explanation:
The sample proportion \(\hat{p}\) is used in statistic to determine the point estimate for estimation of the sample proportion.
The point estimate (\(\hat{p}\)) of the population proportion is given by:
\(\hat{p} = \frac{upper \ bound+lower\ bound}{2}\\ \hat{p} =\frac{0.285+0.223}{2}=0.254\)
The margin of error (E) is the error or deviation expected from a population parameter.
The margin of error (E) of the population proportion is given by:
\(E = \frac{upper \ bound-lower\ bound}{2}\\ E =\frac{0.285-0.223}{2}=0.031\)
HELP WILL GIVE BRIANLIEST
Which of the following best demonstrates the Distributive Property?
3 ( 2+ 4) = 4 ( 3+2)
4 ( 5 + 2) = 10 + 2
4 (5 + 6) = 4 * 11
3 + 6 + 2 = 2 + 3 + 6
Answer:
The 2nd equation
A food delivery service has delivery times with known m=45 minutes and s=12 minutes. A sample of 36 delivery times is taken. What is the probability the sample mean will be > 48 minutes? What is the probability the sample mean is between 44 and 49 minutes? If 100 samples were collected, and the sample mean was 65 minutes, what would you conclude?
1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.
2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.
3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.
To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.
1.) Probability of sample mean > 48 minutes:
To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.
Calculating the z-score:
z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5
Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.
2.) Probability of sample mean between 44 and 49 minutes:
To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.
Calculating the z-scores:
For 44 minutes:
z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5
For 49 minutes:
z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2
Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:
P(z < -0.5) ≈ 0.3085
P(z < 2) ≈ 0.9772
The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.
3.)Conclusion from 100 samples with a mean of 65 minutes:
If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.
To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:
z = (65 - 45) / (12 / √36) = 20 / 2 = 10
The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.
Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables
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NEED HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
Solution to these system of equations is where they intercept
Answer:
B. (-2, -3)
Step-by-step explanation:
Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).
I don't understand please help
Answer:
Step-by-step explanation:
the average rate of change is the same as
the slope of a line m = (y2-y1)/(x2-x1)
to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)
if from left to right the line goes downward the rate of change is negative
if from left to right the line goes upward the rate of change is positive
From a random sample of 185 children from school G, 108 indicated they wanted to study science in college. From a different random sample of 165 children from school H, 92 indicated they wanted to study science in college. Assuming all conditions for inference are met, which of the following is closest to the standard error for a confidence interval for the difference in population proportions between the two schools of children who want to study science in college?A. 1.96 underroot(200/350)(1 − 200/350)/350.B. Underroot(108/185)(1 − 108/185)185 − (92/165)(1−92/165)/165.C. Underroot(108/185)(1 − 108/185)185 + (92/165)(1−92/165)165.D 1.96 underroot(108/185)(1 − 108/185)185 + (92/165)(1 − 92/165)165.E. Underroot(200/300)(1 - 200/300)/350.
Answer:
C. Underroot(108/185)(1 − 108/185)185 + (92/165)(1−92/165)165.
Step-by-step explanation:
Sample size, n1 = 185
x1, = 108
P1 = x1 / n1 = 108 / 185 =
Sample size, n2 = 165
x2, = 92
P2 = x2 / n2 = 92/165
Standard Error = sqrt[(p1(1-p1))/n1 + (p2(1-p2))/n2]
sqrt[(108/185(1 - 108/185)) /185 + (92/165(1 - 92/165)) / 165]
Choose which categories are ordinal data related to dogs.
species of dogs
size of dogs
fitness level of dogs
type of food
amount of rest of dogs
Answer:
I don't understand this question please write again
In Allessandro’s class, 5 students Live in Oakdale. There are 20 students in ALlessandro’s class. What percent of the students live in Oakdale.
Answer:
Twenty-five(25) percent(%) of Allessandro's class live in Oakdale
Step-by-step explanation:
If 20=100%
Then 15=75%
Which means 10=50%
Making 5=25%
Somebody help me out
The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. \(3\pi\)
To determine which number produces an irrational number when multiplied by 0.4
First and foremost, 0.4 is a rational number.
A rational number is a number that is of the form \(\frac{p}{q}\) where p and q are integers and q is not equal to 0.
0.4 can be written as \(\frac{4}{10}\) or \(\frac{2}{5}\), hence, it is a rational number.
Now,
Any irrational number when multiplied by a rational number other than zero will also be irrational.
Therefore, we are to determine which of the given options is an irrational number.
For option A. 3ππ is an irrational number, therefore 3π is also an irrational number
For option B. 0.444...0.444... can be expressed as 4/9, therefore it is a rational number
For option C. \(\sqrt{9}\)\(\sqrt{9}\) = 3, which can be expressed as 3/1, therefore it is a rational number
For option D. \(\frac{2}{7}\)\(\frac{2}{7}\) is a rational number
The only irrational number among the given options is 3π
Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. \(3\pi\)
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Estimate the product of 392 and 624
Answer:
just multiply both
Step-by-step explanation:
understand
Answer:
244,608Step-by-step explanation:
product means multiply
so 392 x 624 = 244,608
Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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Simplify: 2(4x - 6) - 8 + 10x
Answer:
Hi there!
The simplified version is:
18x-20
Step-by-step explanation:
2(4x-6) -8 +10x
First, multiply the 2 by the parentheses.
8x -12 -8 +10x
Next, combine like terms
18x -20
This is the simplified version!
Hope this helps
Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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Function A and Function B are linear functions.
Function A
Function B
y = 2x - 4
X
-5
-4
2
y
-11
-8
10
Which statements are true? Select all that apply.
The slope of Function A is greater than the slope of Function B.
The slope of Function A is less than the slope of Function B.
The y-intercept of Function A is greater than the y-intercept of Function B.
The y-intercept of Function A is less than the y-intercept of Function B.
Answer:
The true statements to be selected are the following:
"The slope of Function A is greater than the slope of Function B."
"The y-intercept of Function A is greater than the y-intercept of Function B."
Step-by-step explanation:
Based on the points that were provided for Function A: (-5, -11), (-4, -8), and (2, 10), we can create a linear function to represent the function. The slope of the function is 3, and the y-intercept would be 4, so the linear function of Function A would be y = 3x + 4. And the function of Function B is, as given, y = 2x - 4.
Now, we can compare the two functions and determine which statements are correct. Function A has a slope of 3 and a y-intercept of (0, 4), whilst Function B has a slope of 2 and a y-intercept of (0, -4). As both the slope and y-intercept of Function A is greater than the slope and y-intercept of Function B, the correct statements to select would be "The slope of Function A is greater than the slope of Function B." and "The y-intercept of Function A is greater than the y-intercept of Function B."
Have a great day! Feel free to let me know if you have any more questions :)
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
Show that 0-52200-48826-5 is an invalid UPC number.
The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.
what is UPC number ?A UPC is examined in the manner described below: Add up the values in the first, third, fifth, seventh, ninth, and eleventh positions. The average of the digits mostly in places of 2, 4, 6, 8, 10, and 12 should be added to this. The code will be recognised by the computer as valid if the outcome is a multi of 10. Every version of your offering will often require its own UPC. Each distinct colour or pattern of your product, if it has either, will require a UPC. Each size of your product will require a UPC if it comes in various sizes. The same is true for various packing and setups.
given
0-52200-48826-5
= 3( 0+ 2+0+4+8+6)+ ( 5+2+0+8+2+5)
= 3(20)+ 22 = 60+22
= 82
hence it is not UPC number as it ends by 2
The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.
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hey guys i need some heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp- 15 points
Answer:
Step-by-step explanation:
3x + 2 + 58 = 90
3x + 60 = 90
3x = 30
x = 10
it's adjacent
PLEASEE I BEG YOU!!!!!!
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!