Answer:
a) 5+(-1)
b) 5-1
c) 4 is the value
Need help answering question 5
Answer:
Step-by-step explanation:
show work if possible
Answer:
B. 14,525
Step-by-step explanation:
If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:
$35 x 415 = $14,525
Therefore, the answer is B. $14,525.
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.
Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as the number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0).
Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points)
Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points)
Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Will give who ever answers the fast the brainliest and max points
This occurs when the number of $5 price increases is approximately 10.82 or 15.32.
The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.
The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.
We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,
we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.
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Evaluate the expression below when x = 24 and y = 6.
4x8y
Answer:
96*48=4608
Step-by-step explanation:
4*24=96
6*8=48
am I right to think that this is multiplication
if not then use the 2 numbers and their sign whatever it may be.
If 12 keychains cost $9 then how much does 20 keychains cost? $________ Also if you could may you provide steps on how you got the answer
Answer:
Step-by-step explanation:
12k=9
12k*5/3=9*5/3
20k=15
Answer:
20 keychains will be $15
Step-by-step explanation:
i did 9 divided by 12 equals 0.75 so thats how much each keychain costs. 0.75x20=15
2 1/2 dividesd by 3 5/8
What is the profit function P(x)
The profit function for this problem is given as follows:
P(x) = -0.5x³ + 100x² - 500x + 300.
How to obtain the profit function?The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:
P(x) = R(x) - C(x).
The functions for this problem are given as follows:
R(x) = -0.5x³ + 600x² - 200x + 300.C(x) = 500x² + 300x.Hence the profit function is given as follows:
P(x) = -0.5x³ + 600x² - 200x + 300 - 500x² - 300x
P(x) = -0.5x³ + 100x² - 500x + 300.
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Although 240° is a special angle on the unit circle, Aiden wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 240° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 240° using the sine difference identity. Be sure to include all necessary work. (5 points)
A. The value of cos 240° = \(\frac{-1}{2}\)
B. The value of sin 240° = \(-\frac{\sqrt{3} }{2}\)
What are basic Trigonometric functions?
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant, and cosecant can be derived from the primary functions. Basically, the other three functions are often used as compared to the primary trigonometric functions.
Part A:
we know that, cos (a +b)=cos a cos b - sin a sin b
cos 240° = cos (60° +180°)
=cos 60° cos 180° - sin 60° sin 180°
=\(\frac{1}{2} *(-1)-\frac{\sqrt{3} }{2} *0\)
=\(\frac{-1}{2}\)
Part B:
we know that, sin(a- b)=sin a cos b - cos a sin b
sin 240° = sin(270° - 30°)
=sin 270° cos 30° - cos 270° sin 30°
=\(-1 *\frac{\sqrt{3} }{2}-0*\frac{1}{2}\)
=\(-\frac{\sqrt{3} }{2}\)
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Help plllllesessssssssssssssssssssssssssssssssssssssssssssssssss
Answer: 8 + 7x
Step-by-step explanation:
The perimeter is the same as all the side lengths added together. We will set up an expression, then simplify it by combining like terms.
(4 - x) + (7x - 1) + (6x + 13) + (-8 - 5x)
4 - x + 7x - 1 + 6x + 13 - 8 - 5x
4 - 1 + 13 - 8 - x + 7x + 6x - 5x
8 + 7x
Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person exercises per week. They divide a sample of 72 people into 3 groups based on how many hours they exercise per week. Group 1 exercises less than 2 hours per week, Group 2 exercises between 2 and 5 hours per week, and Group 3 exercises more than 5 hours per week. Researchers measure and record the systolic blood pressure for each participant. They choose α = 0.05 level to test their results. For your convenience, I have prepared an excel file with the data titled: data_homework10_BP groups. Use this data to run a One-way Anova.
1. What is the between groups degrees of freedom for this study?
a. 2
b. 3
c. 72
d. 69
2. This finding is statistically significant.
a. True
b. False
3. Based on this information, the researcher should make the decision to ___________.
a. reject the null hypothesis
b. fail to reject the null hypothesis
Answer:
(1) The between groups degrees of freedom is 2.
(2) TRUE.
(3) The correct option is (a).
Step-by-step explanation:
(1)
The between groups degrees of freedom for the study is:
\(\text{df}_{B}=k-1\\=3-1\\=2\)
Thus, the between groups degrees of freedom is 2.
(2)
The hypothesis for he one-way ANOVA is:
H₀: All the means are equal.
Hₐ: At least one of the mean is not equal.
The output of the ANOVA test is attached below.
The p-value of the test is 0.00005.
p-value = 0.00005 < α = 0.05
Thus, the result is statistically significant.
The statement is TRUE.
(3)
As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.
The correct option is (a).
missing angle of 28 and 21 trigonometry
Letss try using Pythagoras Theorem with
\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)
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Mr. Green gave his students a biology test last week. Here are the test scores for each of the eleven students. Complete the grouped frequency distribution for the data. In the distribution, the frequency of a class is the number of test scores in that class. (Note that we are using a class width of 6.)
The grouped frequency distribution for the data is shown below.
What is grouped frequency distribution ?A grouped frequency distribution is a way of summarizing and organizing raw data into a more manageable and meaningful form. The data is divided into intervals or "classes", and the number of data points that fall into each class is counted and recorded as the frequency of that class. This allows for easier interpretation and comparison of the data, as well as identifying patterns or trends. The grouped frequency distribution is commonly displayed in a table or a histogram.
Given that,
79, 85, 71, 83, 78, 67, 70, 87, 81, 86, 74, 67, 68, 76, 66, 72, 76, 80
Now, arranging the given data in ascending order,
66, 67, 67, 68, 70, 71, 72, 74, 76, 76, 78, 79, 80, 81, 83, 85, 86, 87
The grouped frequency distribution for the data:
Test Scores Frequency
65.5 - 71.5 6
71.5 - 77.5 4
77.5 - 83.5 5
83.5 - 89.5 3
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Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)
5 over 3 tablespoons
3 over 8 tablespoon
3 over 5 tablespoon
5 over 8 tablespoon
Answer:
I think it's C but I'm still thinking about this but it's C I think
Step-by-step explanation:
Hannah has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Hannah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Hannah performs the experiment 20 times. The results are shown below:
A pineapple chew was selected 5 times.
A apple chew was selected 7 times.
A peach chew was selected 8 times.
Based on these results, express the probability that the next chew Hannah removes from the bag will be a flavor other than peach as a percent to the nearest whole number.
The probability that the next chew Hannah removes from the bag will be a flavor other than peach is 60%.
What is Probability?The probability of an event is a number used in science to describe how probable it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.
According to question:The total number of chews that Hannah removed from the bag is 20.
Out of these 20 chews, a peach chew was selected 8 times, so the number of non-peach chews is 20 - 8 = 12.
Therefore, the probability that the next chew Hannah removes from the bag will be a flavor other than peach is 12/20 = 0.6.
To express this probability as a percentage, we multiply it by 100 and round it to the nearest whole number:
0.6 * 100 = 60
So the probability that the next chew Hannah removes from the bag will be a flavor other than peach is 60%.
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Five more than the quotient of a number and 3 is 7
The expression for Five more than the quotient of a number and 3 is 7 is (n/3) +5 =7.
The unknown number y is 6.
How to find the unknown number?Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is called as an algebraic expression (or variable expression).
given that Five more than the quotient of a number and 3 is 7.
the unknown number is y.
variable = y
now find the value of y.
This statement should be transformed into an equation.
A number divided by three can be written as
y/3.
Adding 5 now results in equation is
(y/3) + 5.
This is supposed to equal 7, therefore the equation is
(y/3) +5 =7.
now solve the equation
deducting 5 from both sides, you can solve for y to get
y/3 = 2.
Multiply 3 to both sides so that y is 6.
n = 6.
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In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothing and carry‑on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not normally distributed, especially when the population includes both men and women, but they are not very non‑Normal. A commuter plane carries 22 passengers. What is the approximate probability P that the total weight of the passengers exceeds 4500 pounds? Use the four‑step process to guide your work. Give your answer as a percentage precise to two decimal places. P=___?
The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545
\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)
= 1 - 0.8997
= 0.1003
= 10.03%
Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
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Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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NO LINKS!!
Write a mathematical model for the problem and solve it.
The sum of two consecutive natural numbers is 575. Find the numbers. (Enter your answers as a comma-separated list.)
Answer:
Step-by-step explanation:
To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:
x + (x+1) = 575
where x and x+1 are the two consecutive natural numbers.
We can solve this equation by combining like terms:
2x + 1 = 575
Subtracting 1 from both sides, we get:
2x = 574
Dividing both sides by 2, we get:
x = 287
Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.
Answer:
287,288
Step-by-step explanation:
Question
The sum of two consecutive natural numbers is 575. Find the numbers
soln
x +( x + 1) = 575
x + x + 1 = 575
2x + 1 = 575
2x = 575 – 1
2x = 574
\( \frac{2x}{2} = \frac{574}{2} \)
x = 287
since we got x as 287, lets solve(x+1)
by substituting
287 + 1 = 288
hence the consecutive numbers are 287,288
Check
287 + 288 = 575
we are correct.
i hope this helps
National Geographic still sells a considerable number of copies. Its demand for the April issue is forecasted to be normally distributed with a mean of 80 and a standard deviation of 35. If the Penn Bookstore stocks 100 copies, how many copies can they expect to return to the publisher at the end of the month
Answer:
29
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
So for 100 copies we have:
z = (100 - 80) / (35)
z = 0.5714
and this value represents 0.7157
Which means, that of those 100 copies it is probable that they could be distributed:
100 * 0.7157 = 71.57
71 copies, so a total of about 29 (100 - 71) were being returned
He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
Choice the correct answer
Answer:
wheres A
Step-by-step explanation:
2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
Lindsey estimated the amount of liquid in a container to be 80 ml. The actual amount of liquid was 83 ml. What is the percent error? Round your answer to the nearest whole percent.
(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
X to the third power equals 512
Answer:
8
Step-by-step explanation:
Which number line can you use to simplify 2 + (–8)?
Answer:
D
Step-by-step explanation:
The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,
Answer:
\(\Huge \boxed{\mathrm{D}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
2 + ( -8 )
2 is on the number line.
When -8 is added to 2, the value decreases, and it moves 8 units to the left side.
The result is -6.
\(\rule[225]{225}{2}\)
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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Given the geometric series 6+3+3/2….Find
(i) the sum of n terms.
(ii) S infinity. Hence, determine smallest value of n such that S infinity - Sn < 0.001.
12-12[1-(1)]<0.001
The least value is 11.
\($$\begin{aligned}&\mathrm{S}=\frac{1}{1-(1 / 2)}=2 \\&\mathrm{~S}_{\mathrm{n}}=\frac{1-(1 / 2)^{\mathrm{n}}}{1-(1 / 2)}=2-\frac{1}{2^{\mathrm{n}-1}}\end{aligned}$$\)
\($$\mathrm{S}-\mathrm{S}_{\mathrm{n}}=\frac{1}{2^{\mathrm{n}-1}} < \frac{1}{1000} \text { or } 2^{\mathrm{n}-1} \geq 1000$$\)
Now \($2^{10}=32 \times 32=1024$\)
\($$\therefore n-1 \geq 10 \text { or } n \geq 11$$\)
Hence the least value is 11.
If you have a positive term in your quadratic equation, it will also have a minimum value. This minimum value can be found by graphing the function or solving one of the two equations. If you have the equation y = a\(x^2\) + bx + c, you may use the equation min = c - \(b^2\)/4a to determine the minimum value.
A quadratic equation is a second-order polynomial equation in a single variable x a\(x^2\)+bx+c=0. with a ≠ 0 . The fundamental theorem of algebra assures that it has at least one solution because it is a second-order polynomial equation.
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Systems of equations with different slopes and different y-intercepts have more than one solution. (5 points)
Always
Sometimes
Never
Answer:
The correct answer would be never
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
I hope this helps
Answer:
The answer should be never, I took the test and I got it right!
Step-by-step explanation: