Answer:
Step-by-step explanation:
f(x)=3(x+7)³-9
1. Let's graph the function у=3х³
2. Shift the graph of the function to the left by 7 units along the х-axis
3. Slide the graph of the function down 9 units along the y-axis
for this problem, assume that you are to pick 4 cars from the motor pool, which contains 6 subcompact cars, 7 compact cars, and 5 midsize cars. how many ways can you pick the cars so not all are the same size?
There are 20 ways to choose 3 different sizes of cars from 7 subcompact cars, 4 compact cars, and 9 midsize cars.
Permutation:
A permutation of a set is, roughly speaking, the arrangement of its elements in a sequence or linear order, or a permutation of its elements if the set is already sorted. The word permutation also means an operation or process that changes the linear order of a sorted set. You can use the
The formula to calculate permutations. This formula:
P(n, r) = n! ÷ (n-r)!
where
n = total number of items in the set;
r =items taken for permutation;
"!" Indicates taking a factorial.
We know permutation of n different things taken r at a time is
= \(^nP_r = \frac{n!}{(n -r)!}\)
No of ways of choosing 1 subcompact car from 7 subcompact cars is,
= \(^nC_r\) .
= \(\frac{7!}{1!( 7-1)!}\)
= 7!/6!.
= 7.
Number of ways choosing 1 compact car from 4 compact cars is = 4.
Number of ways of choosing 1 midsize car from 9 midsize cars is = 9.
∴ No. of ways choosing 3 different sizes of cars from 7 subcompact cars, 4 compact cars, and 9 midsize cars is (7 + 4 + 9) = 20 ways.
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
The Water Department checks the city water supply on a regular basis for
contaminants such as trihalomethanes (THMs). The Water Department takes
200 samples and estimates that the concentration of THMs in your drinking
water is 3 ppb (parts per billion), with a standard deviation of 0. 3 ppb.
Assuming the samples were random and unbiased, how much confidence
can you have in this data?
We can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb]. This was calculated using a confidence interval formula for the mean.
The confidence interval for the mean concentration of THMs can be calculated using the formula x ± z * (s/√n), where x is the sample mean, z is the z-score for a given confidence level, s is the sample standard deviation and n is the sample size.
In this case, we have x = 3 ppb, s = 0.3 ppb, and n = 200. To calculate the confidence interval at a certain confidence level (e.g. 95%), we need to find the corresponding z-score. For a 95% confidence level, the z-score is approximately 1.96.
Substituting these values into the formula above gives us:
3 ± 1.96 * (0.3/√200) = [2.9584, 3.0416]
So we can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb].
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Pls help I’ll give you 25 points Write at least three equations that have no solution.
Answer:
1. x+y= ?
2. 3x+ 3= y
3. x/3= y
Step-by-step explanation:
Answer:
System of Linear Equations with No Solutions
The red line is the graph of y=4x+ 2, and the blue line is
the graph of y=4x+5. When two equations have the
same slope but different y-axis, they are parallel. Since
there are no intersection points, the system has no
solutions.
hope it help ❤️
I need the answer plz help
Answer:
A
Step-by-step explanation:
Use Desmos and put each equation in
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
_____ suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.
a. The Carnegie model
b. Prospect theory
c. The bounded rationality perspective
d. McGregor's Theory X
The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.
Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.
For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.
In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.
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Four less than 3 times a number is no less than five added to 2 times the same number.
Answer:
the number is no less than 9
Step-by-step explanation:
4 less than 3 times a number can be expressed as ...
3n -4
5 added to 2 times the same number can be expressed as ...
2n +5
The "is no less than" relationship can be expressed as "greater than or equal to".
3n -4 ≥ 2n +5
n ≥ 9 . . . . . . . . . add 4-2n to both sides
The number is no less than 9.
PLeaseeee help
Solve the equation
5(- 3x - 2) = ?
Answer:
answer is for x value 2/3
i will mark branlyest
Jess dug a hole 7.3 inches deep on Tuesday. After he dug on Wednesday, the hole was 9.7 inches deep. What distance did Jess dig on Wednesday? A –17 inches B –2.4 inches C 2.4 inches D 17 inches
Answer:
Jess dug 2.4 inches deep on Wednesday.
Step-by-step explanation:
9.7-7.3=2.4 9 . 7
-
7 . 3
___
2 . 4
Answer:
2.4 inches
Step-by-step explanation:
i did the assignment :)
MATH AND SCIENCE :
If 7 giant solar power plants generate 1.3 gigawatts (GW) of energy to power 900,000
homes, how many gigawatts can 21 giant solar plants generate?
(IF YOU PUT RANDOM LETTERS I WILL REPORT PLUS PLEASE DON'T ANSWER THIS AS IT WAS A COLLEGE QUESTION ANSWER LIKE A 5TH GRADE MATH QUESTION WHICH IT IS.)
Answer: 3.9 gigawatts
Step-by-step explanation: 7 x 3 equals 21 so just multiply the 1.3 gigawatts by 3 which would mean 21 giant solar planets generate 3.9 gigawatts.
Why is it important to ask first the owner about the problem of the units?
The owner about the problem of the units is to avoid causing any further damage or making the situation worse. By consulting with the owner, you can gain a better understanding of the issue and come up with an appropriate solution that addresses the root cause of the problem.
Asking the owner also provides an opportunity for them to share any concerns or preferences they may have, such as specific repair methods or timelines. This can help ensure that their needs are met and that they are satisfied with the outcome.
In conclusion, asking the owner about the problem of the units is essential to provide effective and efficient solutions while also maintaining positive relationships with the owners. It shows that you value their input and are committed to resolving the issue in the best possible way.
It is important to ask the owner about the problem of the units to gather accurate information, understand their perspective, and address their concerns effectively.
Firstly, asking the owner about the problem ensures that you get the most accurate and reliable information, as they have firsthand experience with the units. Secondly, understanding the owner's perspective helps you identify their expectations, which allows you to better address their concerns and find a suitable solution. Finally, engaging the owner in the problem-solving process promotes collaboration, trust, and ensures that the proposed solution meets their needs.
In summary, asking the owner about the problem of the units is essential for gathering accurate information, understanding their perspective, and effectively addressing their concerns, leading to a successful resolution of the issue.
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Evaluate
|15 - 23 | =
Answer:
8
Step-by-step explanation:
\( |15 - 23| = | - 8| = 8\)
Which is the range for the function shown in the graph below?
All real numbers for
x
All real numbers for
y
x≤
2
y≥
3
The range of the function shown in the graph is the set of all real numbers for y.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The set of input values in the function is called domain and the set of output values are called range of the function.
So the range of the function will be the set of y values.
From the graph, it is clear that, the curve is passing corresponding to every y value.
In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.
So the range is the set of all real numbers.
Hence the range is all the real numbers for y.
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what is in between 0 and 0.25
Answer:
0.25
Step-by-step explanation:
0.25-0=0.25
What is dy if y=√(1 – x³)? Select one: A. 3(1-x²)² B. 3/ x² (1-³) 3 C. √(1-x²) 3 T² 2 /(1-2¹) D. None of the answers is correct.
Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.
Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).
dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).
Therefore, (A) 3(1 - x²)².Option (A) is the correct answer.
The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.
Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).
We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².
Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).
Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².
The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².
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Can someone help me with this?
Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.
The total number of students in the eighth grade is 9 more
than 4 times as many students as are in the art class. There
are 101 students in the eighth grade. Write and solve an
equation to find the number of students in the art class. Let x
represent the number of students in art class.
Answer:
101-9 then you divide it by 4 and im pretty sure you can get the equation from there
Step-by-step explanation:
A recent study shows that unemployment does not impact males and females in the same way. According to a Bureau of Labor Statistics report, 7.9% of those who are eligible to work are unemployed. The unemployment rate is 8.8% for eligible men and only 7.0% for eligible women, Suppose 52% of the eligible workforce in the United States consists of men. a. You have just heard that another worker in a large firm has been laid off. What is the probability that this worker is a man? (Do not round intermediate calculations. Round your answer to 3 decimal places.) b. You have just heard that another worker in a large firm has been laid off. What is the probability that this worker is a woman? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
a) The probability that a laid-off worker is a man is approximately 0.439.
b) The probability that a laid-off worker is a woman is approximately 0.561.
To calculate the probabilities, we can use conditional probability. Let's denote the events as follows:
M: Worker is a man
W: Worker is a woman
L: Worker is laid off
a) We need to calculate P(M|L), which is the probability that a laid-off worker is a man. Using Bayes' theorem, we have:
P(M|L) = P(L|M) * P(M) / P(L)
We know that P(M) = 0.52 (the proportion of men in the eligible workforce), P(L|M) = 0.088 (the unemployment rate for men), and P(L) = 0.079 (the overall unemployment rate). Substituting these values, we get:
P(M|L) = (0.088 * 0.52) / 0.079 ≈ 0.439.
b) Similarly, we need to calculate P(W|L), which is the probability that a laid-off worker is a woman. Using Bayes' theorem, we have:
P(W|L) = P(L|W) * P(W) / P(L)
We know that P(W) = 1 - P(M) = 1 - 0.52 = 0.48 (the proportion of women in the eligible workforce), P(L|W) = 0.07 (the unemployment rate for women), and P(L) = 0.079 (the overall unemployment rate). Substituting these values, we get:
P(W|L) = (0.07 * 0.48) / 0.079 ≈ 0.561.
Therefore, the probability that a laid-off worker is a man is approximately 0.439, while the probability that a laid-off worker is a woman is approximately 0.561.
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A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Step-by-step explanation:
Yes, one pair of opposite sides could measure 10 inches. and the other pair could measure 13 inches
Answer:
A
Step-by-step explanation:
Trust the process
To promote a new brand of shoes, a shoe store will run
a promotion using a jar containing 3 red balls marked
"10% off," 2 white balls marked "30% off," and
1 green ball marked "60% off." Each customer will
randomly select 1 ball from the jar to determine the
discount that the customer will receive on any single
pair of the new brand of shoes. Given that the new
brand of shoes regularly costs $60 per pair, what is the
average discount amount, in dollars, that the store can
expect to give each customer due to this promotion?
Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.
How much discount will the shoe store give on average?The average discount in percentages will be:
= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)
= 5% + 10% + 10%
= 25%
The average discount in cash amounts is:
= 25% x 60
= $15
In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.
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Express the area of the entire rectangle
Answer:
x^2 + 6x + 8
Step-by-step explanation:
area of blue = x^2
area of pink= 2x
area of green=4x
area of brown=8
Adding all the area.
we get : x^2 + 6x +8
⭐️WILL GIVE 100 POINTS⭐️
Line QR goes through the points Q(0,1) and R(2,7). 
7-1/2-0 --> 6/2 --> 3
The slope is 3
Answer:
Step-by-step explanation:
On your own sheet of paper, make a stem-and-leaf plot of the following set of data and then find the range of the data.
83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92.
can I get the range in a graph form?
The stem-and-leaf plot reveals that 54 and 99 are the smallest and biggest values, respectively. Hence, the range is: range = 99 - 54 = 45
what is range ?The range of a number collection or data points in mathematics is the difference here between biggest and smallest values. It is a measurement of the data's dispersion or variability. The range is frequently employed in descriptive statistics and can serve to provide information about the data's distribution.
given
Certainly! The data are shown in a stem-and-leaf plot as follows:
5 | 4
6 | 0 1 2 2
7 | 1 2 4 6 8
8 | 2 3 4 4 6 7
9 | 0 5 5 9
The difference between the largest and smallest values is the data's range.
The stem-and-leaf plot reveals that 54 and 99 are the smallest and biggest values, respectively. Hence, the range is: range = 99 - 54 = 45
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A spinner has 20 equal-sized sections. Two of the sections are blue. a. What is the probability that the spinner will land on blue? b. Use words to describe the probability.
Answer:
a. 2/20 or 10%
b. Theoretically 2 out of every 20 times the spinner is spun, it will be blue.
Step-by-step explanation:
For conservative forces, force can be fouind as being the negative of the deriviation of?
For conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
What is a conservative force?It should be noted that a conservative force simply means the force in moving a particle from a particular point to another. In this case, the force is independent of the path that's taken by the particle.
It should be noted that F = du/dr as u is the potential energy. Therefore, force is the negative derivative of the potential energy.
Therefore, for conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
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Complete question
For conservative forces, force can be fouind as being the negative of the deriviation of?
momentum
kinetic energy
impulse
work
potential energy
Please help! Show step by step, please! I will mark brainleist.
Answer:
(-3, 5)
Step-by-step explanation:
This is because it is on the same point on the opposite side of the grid
-Please let me know if I am wrong so I can improve
- have a nice day
-3,5 is the answer for the other side
please help me! This is really hard!
The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.
Which number goes from lowest to highest?You need to solve for the quantities given to see which numbers are the smallest and which are the largest.
15.75 = 15.75
√250 = 15.8
4² = 16
50 / 3 = 16.7
16.7 x 10³ = 16,700
The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.
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Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance.
Costs Covered by
Business Insurance
Direct Operational Costs
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
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Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.