Answer:
12
Step-by-step explanation:
Absolute vals combined re 12 (1 negative and one positive cause this
What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
8y + 10=42 solve for y
Answer: y=4
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
8y+10−10=42−10
8y=32
Step 2: Divide both sides by 8.
8y
8
=
32
8
y=4
Answer:
8y + 10 =42
8y = 42-10
8y = 32
8y/8 = 32/8
y = 4
Pls pls help me I will mark you brainest
y values: 3,4,5,6
x values: 5,10,15,20
Step-by-step explanation:
I used a graphing calculator but y is increasing by one and x increases by 5 each time
Answer:
See below.
Step-by-step explanation:
A's number is x. B's number is y.
x = 5y - 10
First row: What is x when y= 3?
x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5
Second row: What is x when y = 4?
x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10
Third row: What is y when x = 15?
x = 5y - 10
Add 10 both sides x + 10 = 5y - 10 +10
x + 10 = 5y
But we're told x = 15, so 15 + 10 = 5y
25 = 5y
Divide both sides by 5 25/5 = 5y/5
5 = y y = 5
Fourth row: What is x when y = 6?
x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20
Andre is guaranteed a minimum weekly salary of $400 plus 3.5% of his total sales. If he
sold $5740 worth of merchandise one week, what is his gross pay for that week.
How many different committees can be formed from 8 teachers and 39 students if the committee consists of 2 teachers and 4 students?
Answer:
Step-by-step explanation:
8 učiteľov 39 študentov
1 výbor = 2 učitelia + 4 študenti
8 učiteľov :2=4
39 študentov :4= 9,75
Takže máme 4 výbory ...viacej to nemôže byť aj keď nám zostávajú študenti pretože je daný počet učiteľov...
Answer: 2303028
Step-by-step explanation:
ASAP! PLEASE HELPP!!
SHOW ALL WORK PLS
Answer:
(a, b, c) = (-3, -2, -4)
Step-by-step explanation:
You want to solve the system of 3 equations in 3 variables shown in the attached figure.
SolutionThe easiest solution is one provided by a suitable calculator (attached). It tells you ...
a = -3b = -2c = -4The "work" is entering the problem into the calculator.
Ad hocWe notice the sum of 'a' coefficients is zero, so we can add the three equations to get ...
(4a +5b -6c) +(-3a -2b +7c) +(-a +4b +2c) = (2) +(-15) +(-13)
7b +3c = -26 . . . . . simplify
Multiplying the third equation by 4 and adding that to the first equation gives ...
4(-a +4b +2c) +(4a +5b -6c) = 4(-13) +(2)
21b +2c = -50 . . . . . simplify
Now, we have two equations in two unknowns.
Multiplying the first equation above by 3 and subtracting this last equation eliminates the b term to give ...
3(7b +3c) -(21b +2c) = 3(-26) -(-50)
7c = -28 . . . . . simplify
c = -4 . . . . . . . divide by 7
Using this in the first "ad hoc" equation, we can find b:
7b +3(-4) = -26
7b = -14 . . . . . . . . add 12
b = -2 . . . . . . . . divide by 7
And the values of b and c can go into the last of the original equations to give ...
-a +4(-2) +2(-4) = -13
-a = 3 . . . . . add 16
a = -3 . . . . . multiply by -1
The solution is (a, b, c) = (-3, -2, -4).
__
Additional comment
The given solution is "ad hoc" because we decide how we're going to approach the solution based on the coefficients we see. Here, we are solving by "elimination," performing as little arithmetic as possible.
The third equation suggests we could make a substitution for 'a':
a = 4b +2c +13
That substitution would give a different set of equations in 'b' and 'c' than the ones shown above.
The second attachment shows a graphical solution to the system. It shows (a, b, c) = (-3, -2, -4). The graphing program requires the use of x and y instead of 'a' and 'b' for the variables.
Four methods of solving the system have been described. Take your pick. The calculator solution was the easiest, requiring each number to be entered once.
A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. (Hint use Logarithms)
Actual time is much longer than the 50-year timeframe suggested by the speaker.
How to verify the statement?
This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.
To verify this claim, we can use the following formula to calculate the expected total pollution after n years:
Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)
Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.
We can set the expected total pollution after n years equal to the present pollution level and solve for n:
\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)
Simplifying this equation, we get:
\(1 = 1.03^n \times 0.2^n\)
Taking the logarithm of both sides of the equation, we get,
\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)
Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.
It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.
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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"
Is 604,892 divisible by 4?
Answer:
yes it is 604892÷4=151,223
The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30
Answer:
a) P(X > 207.50) = 0.0808
b) P(X-bar > 193.5) = 0.7734
c) It matters only in sampling distribution when we does not know the shape of distribution.
Step-by-step explanation:
Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.
To find - a. Find the probability that an individual distance is greater than 207.50 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ?
Proof -
Given that,
μ = 195 cm
σ = 8.9 cm
a)
P(X > 207.50) = 1 - P(X < 207.5)
= 1 - P(Z < \(\frac{207.5 - 195}{8.9}\) )
= 1 - P(Z < 1.4)
= 1 - 0.9192
= 0.0808
⇒P(X > 207.50) = 0.0808
b)
n = 20
μₓ- = μ = 195
σₓ⁻ = \(\frac{\sigma}{\sqrt{n} }\) = \(\frac{8.9}{\sqrt{20} }\) = 1.99
Now,
P(X-bar > 193.5) = 1 - P(X-bar < 193.5)
= 1 - P(Z < \(\frac{193.5 - 195}{1.99}\) )
= 1 - P(Z < -0.75)
= 1 - 0.2266
= 0.7734
⇒P(X-bar > 193.5) = 0.7734
c)
Given that If the population is normally distributed , then the sample does not have to be greater than 30.
It matters only in sampling distribution when we does not know the shape of distribution.
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
BRAINLIST WILL BE GIVEN TO THE PERSON WHO GIVES THE CORRECT ANSWER
Answer:
25pi. 36pi
10pi. 12pi
--------------------------
9pi. 49pi
6pi. 14pi
Step-by-step explanation:
Area (A) = πr²
Circumference (C) = 2πr
Blue Circle:
A = (5)²π
A = 25π
C = 2(5)π
C = 10π
Pink Circle:
A = (6)²π
A = 36π
C = 2(6)π
C = 12π
White Circle:
r = 3
A = (3)²π
A = 9π
C = 2(3)π
C = 6π
Red Circle:
A = (7)²π
A = 49π
C = 2(7)π
C = 14π
Find the value of x that makes the quadrilateral a parallelogram.
Please help
Answer:
x = 2/3
Step-by-step explanation:
Since it's a parallelogram, the bisected parts of the diagonal must be equal
So 6x must equal 3x + 2:
6x = 3x + 23x = 2x = 2/3-Chetan K
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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Simplify: 10(-5x+4)
Jejdjejehhe
Answer:
-50x + 40
Step-by-step explanation:
10(-5x+4)
-50x + 40
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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help please its due in 50 minutes ill mark brainliest answer too and no need to show work
The height, h, of the cylinder is approximately 1.27 centimeters when the volume is 100 cm^3 and the radius is 5 cm, rounded to the nearest tenth.
To find the height, h, of the cylinder, we can rearrange the formula for the volume of a cylinder:
V = πr^2h
Given that the volume, V, is 100 cm^3 and the radius, r, is 5 cm, we can substitute these values into the formula:
100 = π(5^2)h
Simplifying further:
100 = 25πh
To solve for h, divide both sides of the equation by 25π:
100 / (25π) = h
To calculate the value, we'll use an approximation for π as 3.14:
100 / (25 * 3.14) ≈ h
Simplifying:
100 / 78.5 ≈ h
h ≈ 1.27 cm
Therefore, when the volume is 100 cm3 and the radius is 5 cm, the cylinder's height, h, is about 1.27 centimetres, rounded to the closest tenth.
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Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. At this rate, how many liters can you buy with $15?
Answer:
6 liters of diet cola.
Step-by-step explanation:
In order to find the answer to this question you have to find the price per liter of diet cola.
To do this you will have to take $10 and divide it by 4.
10/4 = 2.5
Each liter costs $2.50.
Next, to get the number of liters you can buy, you will take $15 and divide it by $2.50.
15/2.50 = 6
Therefore, the number of liters of diet cola you can buy for $15 is 6.
I hope this helps!!
- Kay :)
What is (4 x 100) + 20.
Answer:
420 is the correct answer
Answer:
420
Step-by-step explanation:
See whether you're understanding the subject and skills.
If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training
As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.
With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.
However, it's important to note that while I strive to be helpful, I am still an AI and may not always provide perfect answers. I do not possess personal experiences or opinions, and I am not able to perform physical actions. My responses are generated based on patterns and examples from my training data.
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.
Given f(x)=5(x^2+1)+16, what is the value of f(11)?
Answer:
The value of f(11) is 9.
The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.
From the parameters given;
we are to replace x with 11 wherever we see x
∴
f(11) = 9
Step-by-step explanation:
The triangle is to be reduced by a ratio of 1:2.
a
Answer:
where is the triangle?
Step-by-step explanation:
We walked down the path to the well-house, attracted by the fragrance of the honeysuckle with which it was covered. Some one was drawing water and my teacher placed my hand under the spout. As the cool stream gushed over one hand she spelled into the other the word water, first slowly, then rapidly. I stood still, my whole attention fixed upon the motions of her fingers. Suddenly I felt a misty consciousness as of something forgotten—a thrill of returning thought, and somehow the mystery of language was revealed to me. I knew then that "w-a-t-e-r" meant the wonderful cool something that was flowing over my hand. That living word awakened my soul, gave it light, hope, joy, set it free!
From Helen Keller, The Story of My Life
Based on this excerpt, what can you conclude about Helen Keller?
From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.
Who is Helen Keller?Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.
As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.
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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.
Who is Helen Keller?
Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.
As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.
You deposit $5000 in an account earning 3% interest compounded continuously. How much will you have in the account in 5 years?
Answer:
$5809.17
Step-by-step explanation:
Using the formula for continuous compound interest \(P(t)=Pe^{rt}\) We can plug in our values \(P(t)=5000e^{0.03*5}\) and solve.
The length of the border between the United States and Canada
centimeters
Answer:
The length of the border between the United States and Canada in centimeters is 889,162,560 cm
Step-by-step explanation:
The length of the border between the United States and Canada is 5,525 mi
convert into centimeters and you get 889,162,560 cm
-44.84 x 9.84.
-88.6 x -5.01
39.6 x -5.20
-28.15 x -5.5
14.36 x 4.9
The area of the smaller regular pentagon is about 27.5 cm².
What is the best approximation for the area of the larger regular pentagon?
11cm²
172 cm²
70 cm²
275 cm²
Answer:172 cm²
Step-by-step explanation:
when we use the formula, and we can solve out is like 172.05 and round to tenth and will have the answer
Formula is 1/2 × p × a
Find what percent 768 is of 3,200.
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
3 + 2.7x = 9.5 + 3.2x?
work
Answer:
x = -13
Step-by-step explanation:
3 + 2.7x = 9.5 + 3.2x
-2.7x -2.7x
3 = 9.5 + .5x
I just moved the 2.7 to the opposite side and combining the like terms.
3 = 9.5 + .5x
-9.5 -9.5
-6.5 = .5x
Now you need to isolate the variable by dividing both sides by .5 to get the answer of x = -13
Hope that helps and have a great day!