Answer:
v = 3
w = -3
I used a calculator called m.a.t.h.w.a.y :)
Answer:
1.
\( \longrightarrow\sf \: - 8v + 4(v + 5) = 8 \\ \longrightarrow\sf \: - 8v + 4v + 20 = 8 \: \\ \longrightarrow\sf \: - 4v = 8 - 20 \: \: \: \: \: \: \: \: \: \: \: \\ \longrightarrow\sf \: - v = \frac{-12}{4} = - 3\: \: \: \: \: \: \: \: \: \: \: \: \\ \longrightarrow\sf \: \: v = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
2.
\( \longrightarrow\sf \:6(w + 2) - 8w = 18 \\ \longrightarrow\sf \:6w + 12 - 8w = 18 \: \\ \longrightarrow\sf \: - 2w = 18 - 12 \: \: \: \: \: \: \: \: \\ \longrightarrow\sf \: - w = \frac{6}{2} = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \longrightarrow\sf \:w = - 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Hope it helps you mate :)
1. Always thinking about food, Scooby-Doo and his crew went out to eat. Their total bill was
about $82. If the group wanted to leave a 20% tip, how much will the tip cost?
Answer:
$16.40 tip
Step-by-step explanation:
82 * .20 = 16.40
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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A bicycle manufacturer is studying the reliability of one of its models. the study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. if the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1.5 percent 2 percent 2.5 percent 3 percent
Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.
What is a Venn probability?In a Venn probability, two non-independent events are related to each other, as are their probabilities.
The "or probability" is given by:
\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\)
In this problem, the events are:
Event A: Brake defect.
Event B: Chain defect.
For the probabilities, we have that:
The study finds that the probability of a brake defect is 4 percent, P(A) = 0.04.The probability of both a brake defect and a chain defect is 1 percent, P(A∩B) = 0.01.The probability of a defect with the brakes or the chain is 6 percent, P(A∪B) = 0.06.Substitute all the values in the formula
\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03\)
0.03 = 3% probability of a chain defect.
Hence, there is a 0.03 = 3% probability of a chain defect.
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Answer:
D
Step-by-step explanation:
I need help with the bottom 2
“write the slope-intercept for. (Y=mx+b) of the equation of each line.”
The equation of the each of the lines in slope-intercept form are:
5. y = -1/3x + 3.
6. y = 2x - 2
7. y = -8/3x + 4.
8. y = -2x + 1.
What is the Slope-intercept Form of a Line?The slope-intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.
5. Slope (m) = rise/run = -1/3
y-intercept (b) = 3
The equation is: y = -1/3x + 3.
6. Slope (m) = rise/run = 2/1 = 2
y-intercept (b) = -2
The equation is: y = 2x - 2
7. Slope (m) = rise/run = -8/3
y-intercept (b) = 4
The equation is: y = -8/3x + 4.
8. Slope (m) = rise/run = -2/1 = -2
y-intercept (b) = 1
The equation is: y = -2x + 1.
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JUST THE ANSWERS PLEASE
Answer:
Eli=180 Freda=260 and Geoff=360
Simplify. Write in Standard Form. 10a(-6a²+2a-7)
Answer:
10a (-6a²+2a-7)open the brackets-60a³+20a²-70adivide all the term by 10-6a³ +2a²-7a(simplified answer)A company earns $7 for every book sold. The company can sell 200 books in 2 hours. At this rate, how much money would the company earn in 8 hours of selling books?
Answer:
$5,600
Step-by-step explanation:
1. divide 200 by 2 (this gives you the rate for 1 hour of book sales)
2. multiply the answer by 8 hours
3. multiply your answer (800) by $7
4. You solved it! $5,600 is how much money a company would earn if they sold books for 8 hours.
Answer:
The company earns $5,600 per 8 hours of book sellingStep-by-step explanation:
Step 1
Find how much books the company sells in 8 hours of selling books
To find this, we see that 2 hours = 200 books. Also, 8/2=4. That means that if we multiply 200 by 4, then we will get our total amount of books sold in 8 hours.
200x4=800
800 books sold in 8 hours
Step 2
Find how much money does 800 books equal to get FINAL ANSWER
To find this, we need to know the price of 1 book, the price of one book is 7$, that means that if we do 7$x800books, then we get our FINAL ANSWER
7x800=$5,600
Hence, the company earns $5,600 for sellings books for 8 hours.Part A There are 30 students in a class. 17 of the students are boys. What percent of the class are girls. *
Part B If the percentages are the same throughout the grade, how many girls are in the whole seventh grade if there are 150 seventh graders? Please help me answer ;)
Part B: 65
Step-by-step explanation:Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.
Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.
2/3 divided by 1 3/7
Answer:0.46
Step-by-step explanation:
In a geometric sequence, the 1st term is 8 and the 3rd term is 72. Given a positive common ratio, find the 7th term.
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Both a and r have to be found
Given a₃ = - 2, then
ar² = - 2 → (1)
Given a₇ = - 32, then
a = - 32 → (2)
Divide (2) by (1)
= , that is
= 16 ( take the fourth root of both sides )
r = 2 ← common ratio
Substitute r = 2 into (1)
a × 2² = - 2, that is
4a = - 2 ( divide both sides by 4 )
a = - ← first term
Hence
= - ← explicit formula
and
= - × = - 0.5 × 512 = - 256
Step-by-step explanation:
Graph the line.2) Through (2, -6) and (-1,9)
Attached above is the graph of the line passing through the points (2, -6) and (-1,9).
How to plot the graph:
Firstly, we need to locate the first point (2,-6)
That means a point 2 on the x axis and -6 on the y-axis.
Then, next locate the second point (-1,9)
That means a point -1 on the x axis and 9 on the y-axis.
Then lastly, join the two points.
a waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 28 yd3 of debris. find the dimensions of the dumpster that will minimize its surface area.
The dimension of the Dumpster are 2.18 x 4.37 x 2.93 yards.
Let us assume that the breadth of the dumpster is X yards.
So, it is given that the length of the dumpster will be 2X.
Let us say the height f the dumpster is H.
Hence,
The total surface area of the dumpster = 2(X.2X + XH + 2XH)
Total surface area = 4X²+6XH
The volume of the cuboidal dumpster = X.2X.H
Volume = 28 yards³
27 = 2HX²
H = 27/2X²
Putting in the area,
we get,
A = 4X² + 6X(28/2X²)
A = 4X² + 84/X
Differentiating with respect to X,
A' = 8X - 84/X²
For minimum A,
8X - 84/X² = 0
X = 2.185 yards.
So, the length is 4.37 yards.
The height is 2.93 yards.
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PLEASE HELP WITH QUESTION C
Amalia is scuba diving at a position 24.25 feet below sea level. She descends 0.5 foot each minute for 25 minutes.
a) Write an expression that can be used to find her position after 25 minutes
b) What is Amalia’s position compared to sea level after 25 minutes? Show your work.
c) How long will it take for Amalia to reach sea level if she ascends at the same rate? Show your work.
Answer:
a) d(m) = 24.25 + m * 0.5
b) d(25) = 24.25 + 12.5 = 36.75
c) 36.75 / 0.5 = 73.5 minutes
5,322,093.05 in words
Answer:
five million three hundred twenty-two thousand ninety-three and five hundredths
Step-by-step explanation:
have a great day and thx for your inquiry :)
Answer:
five million, three hundred and twenty two thousand and ninety three point zero five
What is the value of x?
X+67°
U
W
75⁰
X+66°
Answer:
76
Step-by-step explanation:
a circle has a total of 360°
(x + 66) + (x +67) + 75 = 360
2x + 66 + 67 + 75 =360
2x +208 = 360
2x = 360 - 208
2x = 152
x = 76
To the nearest millimeter, a cell phone is 78 mm long and 40 mm wide. What is the ratio of the to the length?
Answer:
Step-by-step explanation:
Since the width is 40mm and the length is 78mm the ratio would be 40/78which can be reduced to 20/39
If an angle does not have a measure of 88°, then the angle is not an acute angle.
Expedition Everest, a major thrill ride at Walt Disney World, often has a demand of over 3,000 riders an hour causing long waiting times for guests wishing to ride. The attraction averages 1,800 riders an hour. The roller coaster has a design capacity of 2,050 riders an hour and an effective capacity of 1,900 riders an hour.
a. What is the efficiency of Expedition Everest?
b. What is the utilization of Expedition Everest?
c. Is the operation overcapacity or undercapacity?
a. The efficiency of Expedition Everest is approximately 87.8%.
b. The utilization of Expedition Everest is approximately 94.7%.
c. The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.
To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.
Given:
Demand = 3,000 riders/hour
Average riders = 1,800 riders/hour
Design capacity = 2,050 riders/hour
Effective capacity = 1,900 riders/hour
a. Efficiency:
Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.
Efficiency = (Average riders / Design capacity) * 100%
= (1,800 / 2,050) * 100%
≈ 87.8%
Therefore, the efficiency of Expedition Everest is approximately 87.8%.
b. Utilization:
Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.
Utilization = (Average riders / Effective capacity) * 100%
= (1,800 / 1,900) * 100%
≈ 94.7%
Therefore, the utilization of Expedition Everest is approximately 94.7%.
c. Capacity Analysis:
To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.
Demand > Effective capacity
3,000 > 1,900
Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.
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Which value would make the statement true?
Please explain how to do this
Answer:
You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth
Step-by-step explanation:
2. (IPS10- 5.4) Is it unbiased? A statistic has a sampling distribution that is somewhat skewed. The mean is 20.0, the median is 19.3, and the quartiles are 15.3 and 23.9.
(a) If the true parameter value is 19.3, is the estimator unbiased?
(b) If the true parameter value is 20.0, is the estimator unbiased?
(c) If the true parameter value is 19.6, is the estimator unbiased?
(d) Write a short summary of your results in parts (a), (b), and (c) and include a discussion of bias and unbiased estimators.
The estimator is unbiased only when the true parameter value matches the mean of the sampling distribution; otherwise, it is biased.
In part (a), the estimator is biased because the mean of the sampling distribution is different from the true parameter value. In part (b), the estimator is unbiased as the mean matches the true parameter value. In part (c), the estimator is biased again because the mean does not align with the true parameter value.
Bias refers to the tendency of an estimator to consistently overestimate or underestimate the true parameter value. An unbiased estimator has a sampling distribution with a mean that equals the true parameter value. In this case, we observe that the estimator is only unbiased when the true parameter value matches the mean of the sampling distribution. When the true parameter value deviates from the mean, the estimator becomes biased.
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The diameter of a circle is 6 m. Find its area in terms of π π.
Step-by-step explanation:
this is totally simple.
the formula for the area of a circle (as you can find with any search on the internet in seconds) :
A = pi×r²
r is the radius.
and once you understand even the most basics of a circle, you know that the radius is half of the diameter.
so, in our case, r = 6/2 = 3 m
the area of the circle is therefore
pi×r² = pi×3² = pi×9 m²
Helppp plzz i will mark you the brainlest if you help :)
Answer:
(5,2)
Step-by-step explanation:
5 how much to the right you will go and 2 is how much you would go up by.
(I don’t know if I explained it well but it makes sense to me)
Anyway hope it helps
Which number, when substituted for x, makes the equation 4+8=16 true?
Answer:
4
Step-by-step explanation:
y = -2x + 1d: {-4, -3, -2, -1} ri{Blank 1:Blank 2:Blank 3:Blank 4:
Problem
y = -2x + 1
d: {-4, -3, -2, -1} ri{
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Solution
For this case we just need to find the range with the domain given like this:
Blank 1: -2(-4) +1= 8+1 =9
Blank 2: -2(-3) +1= 6+1=7
Blank 3: -2(-2) +1= 4+1=5
Blank 4: -2(-1) +1= 2+1=3
1.3) (7²-√81) + √125 a) 5 b) 8 c) 10 d) 4
The value of (7²-√81) + √125) is 45
What are square root and square?Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.Similarly, the square of 4 is 16 and the square root of 16 is 4.
A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Therefore 4, 16, 25 are examples of perfect squares
7²-√81) + √125 is calculated as
49- 9+ 5 = 45
Therefore the value of 7²-√81) + √125 = 45
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Gọi S là tập các giá trị nguyên của tham số m trong khoảng (–20;20) để bất phương
trình +2{m+2¬√n -√√√m+36]x+m+10-√√m
nghiệm đúng với mọi xe số phần tử của S. Tính
A
25.
B
20.
C
19.
=
U
Answer:
i cannot understand
Step-by-step explanation:
Please help me as fast as possible! I really need help! I’ll mark as brainliest for correct answers. Please help
Answer:
x f(x) = 1/x
-8 -1/8
-6 -1/6
-4 -1/4
-2 -1/2
0 undefined
2 1/2
4 1/4
6 1/6
8 1/8
f(x) has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.
If the radius of a sphere is multiplied by 10, what is the effect on its volume?
Answer:
Volume 1000 times larger
Step-by-step explanation:
Given
r (original data ) = x
result of multiplication = 10x
Discussion
Original Volume of the sphere = 4/3 pi * x^3
New Volume = 4/3 pi (10x)^3
New Volume = 4/3 pi 1000 x ^3
Conclusion
The volume is 1000 times larger when the radius is multiplied by 10.
The mean of four numbers is 7. Three of the numbers are 5, 7, and 7. What is the fourth number? Explain your reasoning.
Answer:
9
Step-by-step explanation:
The mean is equal to the sum of all numbers divided by the amount of numbers there are. If we represent the mean as m, sum as s, and number of numbers as n, we can write our equation as
m = s/n
Therefore, as we know the mean (7) and number of numbers (4), we can plug those in to find the sum.
7 = s / 4
Multiply both sides by 4
28 = s
We then have our sum. Because we know 3 numbers, and there are 4 total, there is one number left to figure out. Our current sum is 5+7+7 = 19, and we need a sum of 28. The difference between the sums, equivalent to the fourth number, is 28-19=9.