I just need help on what the answer is and understanding this question, thank you.
The graph represents the potential area of a concrete rectangle, based on length and width.
Which inequality in vertex form represents the graphed region?
A)y less-than negative 2 (x + 16) squared minus 32
B)y less-than negative one-half (x minus 16) squared + 32
C)y less-than negative 2 (x minus 16) squared + 32
D)y less-than negative one-half (x + 16) squared minus 32
Answers
The inequality of the graph is y < -1/2(x - 16)^2 + 32
How to determine the inequality?A quadratic function is represented as:
y = a(x - h)^2 + k
The vertex of the graph is
(h, k) = (16, 32)
So, we have:
y = a(x - 16)^2 + 32
The graph pass through the point
(x, y) = (12, 24)
So, we have:
24 = a(12 - 16)^2 + 32
Evaluate the like terms
-8 = a(-4)^2
This gives
16a = -8
Divide by 16
a = -1/2
Substitute a = -1/2 in y = a(x - 16)^2 + 32
y = -1/2(x - 16)^2 + 32
The graph is a less than graph.
So, we have
y < -1/2(x - 16)^2 + 32
Hence, the inequality of the graph is y < -1/2(x - 16)^2 + 32
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Related Questions
there were 936,795 bankruptcy filings in 2018. If there were 310,061 chapter 13 filings, what percent were not chapter 13
Answers
66.90% of the total bankruptcy fillings are not chapter 13 fillings.
What is bankruptcy?
This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.
In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings
fillings that were not chapter 13=936,795-310,061
fillings that were not chapter 13=626,734
fillings that were not chapter 13 as % of total fillings=626,734/936,795
fillings that were not chapter 13 as % of total fillings=66.90%
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For every 6,000 batches of 100 cards that are printed, she examines every 100th batch to make sure the logo is aligned and the magnetic strip works. Identify the population and the sample. a. population: 6,000 batches of 1000 cards sample: every 10,000 cards c. population: 6,000 batches of 1000 cards sample: every 100th batch b. population: 6,000 batches of 100 cards sample: every 10,000 cards. d. population: 6,000 batches of 100 cards sample: every 100th batch
Answers
Using sampling concepts, the population and the sample are given as follows:
d. population: 6,000 batches of 100 cards sample: every 100th batch.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:
The population is: All New York State residents.The sample is the 1000 randomly selected New York state residents.Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.
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Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer.
Answers
Answer:
62 inches
Step-by-step explanation:
Since we need to leave 2 cm of room on both sides, the maximum width of TV is 136 - 2 - 2 = 132 cm. Next, use the Pythagorean Theorem, a^2 + b^2 = c^2, to find the diagonal.
132^2 + 86^2 = c^2
c^2 = 17424 + 7396
c^2 = 24820
c = 157.543644746 cm
Finally, convert the value to inches using the given conversion factor.
157.543644746/2.54 = 62.0250569868 inches
For what value of x is the rational expression below undefined x-4/3x2-75
Answers
The given expression is undefined when x = 5 OR x = -5
Undefined expressionFrom the question, we are to determine the value of x for which the given expression is undefined
The given expression is
x-4/3x²-75
An expression is undefined when the denominator equals zero
Thus, the expression is undefined when
3x² - 75 = 0
Now, we will determine the values of x in the equation above
3x² - 75 = 0
3x² = 75
x² = 75/3
x² = 25
x = ±√25
x = ±5
Hence, the given expression is undefined when x = 5 OR x = -5
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483,800,000 place value of 4
Answers
Answer:
hundred million is the place value of 4 in 483800000
on a number line, suppose point E has a quotient of -1, and EG = 12. what are the possible coordinates of point G?
Answers
-13, or +11, because they are both 12 places away from -1.
I run 3 miles in 20 minutes. What was my average speed in miles per hour?
Answers
Step by step
To get minutes to equal one hour, multiply by 3 ( 20 minutes x 3 = 60 minutes or 1 hour)
If you multiply 20 x 3, you will do the same to the miles
3 miles x 3 = 9 miles
Now we have 9 miles per 1 hour
Problem solved
Suppose we want to choose 2 colors, without replacement from 3 colors red blue and green how many ways can this be done in the order of the choice is relevant and not relevant
Answers
The two colors can be chosen in 3 different ways.
In how many ways can we choose two colors?
If we have a set of N elements, the number of different sets of K elements (such that the order of the K elements does not matter) is:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case, we have 3 colors, so N=3, and we want to choose 2, then K=2.
Replacing that we get:
[tex]C(3, 2) = \frac{3!}{(3- 2)!*2!} = \frac{3*2*1}{1*2*1} = 3[/tex]
The two colors can be chosen in 3 different ways.
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Hooke's law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 11 lb stretches a certain spring 9 in., how much will a force of 22 lb stretch the spring?
Answers
Using proportions, it is found that a force of 22 lb stretches the spring 18 inches.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The measures are direct proportional, hence the rule of three is:
11 lb - 9 inches
22 lb - n inches
Applying cross multiplication:
11n = 9 x 22
n = 9 x 2
n = 18 inches.
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if the area of the figure below is 400m. find x
Answers
Answer:
it's answer came 20000o
How many words can be formed by using all the letters of the word AWILLO, if the two L's are to be separated?
Answers
5/9+ (-4/5)
A. 1/4
B. 11/45
C. -9/14
D. -11/45
PLEASE HELP ILL GIVE BRAINLIST
Answers
Solve for x: 4(x + 2) = 3(x - 2) (1 point)
0-2
O-4
O-10
O -14
Answers
4x+8=3x-6
4x-3x=-8-6
x=-14
Answer:
its -14
Step-by-step explanation:
a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons
Answers
Answer:
Step-by-step explanation:
Which statement is true about the slope of the graphed line?
A graph is a line that extends from second quadrant to first quadrant with y-intercept at 4.
A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.
Answers
Answer:
c
Step-by-step explanation:
because I had a test on these
Good recordkeeping helps protect assets and helps managers?
Answers
Answer:
yes i help yes of course he help
A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?
Answers
Answer:
Step-by-step explanation:
x is the number of students
(x+5) is the number of students and chaperons
$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have
2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)
The inequality "90 greater-than 2.50 (x + 5) "
90 > 2.50(x+5) is an error becase it excludes the possibility that the trip can cost exact $90 so we need not just greater than > , yet greater and equal than ≥ sign
90 ≥ 2.50(x+5)
tephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
Answers
The total number of servings Stephen can achieve with 1/10 kilograms of tofu at 2/25 kilograms per serving is 5/4 servings
Unit rateTofu per serving = 2/25 kilogramsTotal tofu Stephen has = 1/10 kilogramsNumber of servings = Total tofu Stephen has ÷ Tofu per serving
= 1/10 ÷ 2/25
= 1/10 × 25/2
= (1×25) / (10 × 2)
= 25/20
= 5/4 servings
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Solutions greatest to smallest for function
=2+5−7
Answers
The greatest or maximum value for the given function = -8.25
The minimum or smallest value for the given function =-4
Calculation of greatest and smallest functionsThe maximum value of a function is the highest value of that function. To calculate the greatest function, the following equation is used,
Formula max = c - (b2 / 4a)
Where,
a = 2
b = 5
C = -7
Therefore maximum function
= -7 -(5*2/4*2)
= -7-(10/8)
= -7 - 1.25
= -8.25
The minimum value of a function is the least value of that function.
Formula for the minimum = c - b^2/4a.
= -7-5^2/4*2
= -32/8
= -4
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write the expression as the sine or cosine of an angle
pi/5 cos pi/2+sin pi/2\cos pi/5
Answers
The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
The addition formula for trigonometryThe given expression is:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]
Note that:
[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]
Applying the addition principle to the given expression, we have:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
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Assume that the random variable X is normally distributed, with mean and standard deviation . Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.
Answers
Using the normal distribution, the probability that x is of at most 40, represented by option B, is given as follows:
[tex]P(X \leq 40) = 0.1587[/tex]
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation of the distribution are given, respectively, by:
[tex]\mu = 51, \sigma = 11[/tex]
The probability that x is of at most 40 is the p-value of Z when X = 40, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 51}{11}[/tex]
Z = -1
Z = -1 has a p-value of 0.1587.
Hence the probability is:
[tex]P(X \leq 40) = 0.1587[/tex]
Which is the part to the left of X = 40 of the distribution, hence option B is correct.
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Make sure the answer is 100% correct. Then circle the answer in a circle.
Answers
Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.
Step-by-step explanation:
The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.
The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.
For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.
Sets A and I are defined as follows:
A = {-5, -2,0, 2, 5}
I = {−5, -1, 1, 5, 8}
Find the union of A and I.
Answers
Answer:
{-5,-2,0,2,5,-1,1,8}
Step-by-step explanation:
The union of two sets contains all elements that are in set A or in set B (possibly both).
{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}
Consider a situation that you might need to use your understanding of probability to make an informed
decision.
• What sorts of information would you collect?
How might you use what you have learned about probability to determine a course of action?
What are the possible benefits and limitations of this approach?
Answers
The information that can be collected to make an insurance policy will be information regarding the drivers.
How to illustrate the information?It should be noted that the probability simply means the likelihood of the occurence of an event.
In this case, when choosing a car insurance policy, we can use the probability to determine the likelihood for the need to file a claim.
The course of action is to survey a number of drivers to get information from them.
Also, the benefit of this approach is that the food drivers can pay less premium while the disadvantage can be the cost that's involved.
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1. A situation that can use probability to make an informed decision is when deciding on an insurance policy to take.
2. The information that you would collect for an insurance policy decision includes insurance:
PremiumPolicy coveragePolicy limitsDeductiblesDiscounts.3. An understanding of probability helps the policyholder to:
Analyze different insurance policies to determine the best plan to choose amid uncertainty.Measure the likelihood of an event occurring and its consequences.Determine the level of risk involved.4. Possible Benefits and Limitations of Probability:Using probability, the insurance policyholder enjoys these benefits:
Measure outcomesReduce uncertaintyOptimize policiesSpread risk coveragePredict future losses and events.However, the limitations of probability in measuring insurance risks become prominent under the following situations:
Presence of an infinite number of possible outcomes. Where the outcomes are not equally likely.Thus, probability analyzes insurance policies to determine the best plans and their deductible amounts.
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If 1st and 4th term of G.P is 500 and 32 respectively ,its 2nd term is
Answers
The second term of sequence is 200
Geometric equationGeometric sequence are sequence that differs in their term by a common ratio. The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
where
a is the first term
n is the number of term
If 1st and 4th term of G.P is 500 and 32 respectively, hence;
T1 = ar^0 = 500
T3 = ar^3 = 32
From both expressions, the first term a = 500
Substitute into equation 2
ar^3 = 32
500r^3 = 32
r^3 = 32/500
r = ∛32/500
r = 0.4
Determine the second term
T2 = 500(0.4)
T2 = 200
Hence the second term of sequence is 200
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Question 1 of 10
What is the slope of the line that contains the points (-2, 5) and (6,-3)?
OA. 8
OB. 1
O C. -1
OD. -8
Answers
Answer:
slope is -1
Step-by-step explanation:
Slope of the line is changes in y over changes in x. It can also be referred as rise over run.
We can express mathematically as:
[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where m is slope.
Let (-2,5) be [tex]\displaystyle{(x_2,y_2)}[/tex] and (6,-3) be [tex]\displaystyle{(x_1,y_1)}[/tex]. Hence, apply the slope formula:
[tex]\displaystyle{m=\dfrac{5-(-3)}{-2-6}}\\\\\displaystyle{m=\dfrac{5+3}{-8}}\\\\\displaystyle{m=\dfrac{8}{-8}}\\\\\displaystyle{m=-1}[/tex]
Therefore, the slope is -1
To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. Find this quotient using multiplication.
Answers
Step by step
Quotient is answer to division
We have 2/3 divided by 6/5
To divide fractions, we flip one of the fraction and multiply
So now we have 2/3 x 5/6. Multiply across and you get 10/18, simplify to 5/9.
Chris bought a new car for 12,500 he made 3,000 down payment and financed the rest for 14.5% for 36 months for 3 years how much less would his total be for same loan 24 months 2 years
Answers
The difference in total loan repayments between the two mortgage payment option is 771.12
The requirement here is to determine the difference between total loan repayments when the period of loan is 36 months and the total repayments when the period of loan is 24 months instead.
Note the loan amount is the excess of purchase price over the down payment required.
loan amount=12,500-3,000
loan amount=9,500
The monthly payment in each case can be determined using the present value formula of an ordinary annuity.
PV=monthly payment*(1-(1+r)^-N/r
36-month loan month payment
PV=loan amount=9,500
monthly payment=X
r=monthly interest rate=14.5%/12=0.0120833333333333
N=number of monthly payments=36
9,500=X*(1-(1+0.0120833333333333)^-36/0.0120833333333333
9,500=X*(1-(1.0120833333333333)^-36/0.0120833333333333
9,500=X*(1-0.6489543809903260)/0.0120833333333333
9,500=X*0.3510456190096740/0.0120833333333333
9,500=X*29.0520512283869000
X=9,500/29.0520512283869000
X=327.00
Total month repayments=327.00*36
Total month repayments=11,772.00
24-month loan month payment
PV=loan amount=9,500
monthly payment=X
r=monthly interest rate=14.5%/12=0.0120833333333333
N=number of monthly payments=24
9,500=X*(1-(1+0.0120833333333333)^-24/0.0120833333333333
9,500=X*(1-(1.0120833333333333)^-24/0.0120833333333333
9,500=X*(1-0.7495652524008220/0.0120833333333333
9,500=X*0.2504347475991780/0.0120833333333333
9,500=X*20.7256342840700000
X=9,500/20.7256342840700000
X=458.37
Total month repayments=458.37*24
Total month repayments=11,000.88
Difference in total payments=11,772.00-11,000.88
Difference in total payments=771.12
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Answer:
just 771.21
Step-by-step explanation:
to make it shorter credits to the og person who said the awnser 771.21
A tape manufacturer reduces the price of its Heavy Duty tape from $40 to $38 a reel and the price of Regular tape from $32 to $31 a reel. A computing center normally spends $1600 a month for tapes and 3/5 of this is for Heavy Duty tapes. How much will they save a month under the new prices?
Answers
Answer:
68
Step-by-step explanation:
Lets first find the quantity of tape the computing center is purchasing/month.
3/5 Of their 1600 dollar spending is on the heavy duty tapes, meaning they are spending 960 dollars/month on heavy duty tape, if we divide that by the original price, 40, it will give us the original quantity of heavy tape they are purchasing, 24/month.
The other 2/5 of their money, 640 dollars, are spent on regular tape, meaning they purchase 20 rolls of regular tape/month.
Given they are purchasing 24 rolls of heavy tape and 20 rolls of regular tape every month, we can simply multiple those by the new prices and sum the results.
24*38=912
20*31=620
912+620=1532
Then to find the money they are saving we subtract the new price from the original price.
1600-1532=68
There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?
Answers
The experiment is not a binomial experiment.
What is a binomial experiment?
A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.
The conditions for a binomial experiment include:
1. Each trial should be classified either as a success or a failure.
2. There are a fixed number of observations
3. The trials are independent.
4. The number of trials are fixed.
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