Step-by-step explanation:
f(x) = -2x^2-4x+11
y = -2(x+1)²+13
Use the vertex form, y=a(x−h)²+k, to determine the values of a, h, and k.
a= -2
h= 1
k= 13
Final answer is, f(x) = -2(x - 1)² + 13
Answer:
f(x) = - 2(x + 1)² + 13
Step-by-step explanation:
f(x) = - 2x² - 4x + 11
f(x) = a(x - h)² + k
a = - 2, b = - 4, c = 11
h = - [tex]\frac{b}{2a}[/tex]
h = - [tex]\frac{-4}{2(-2)}[/tex] = - 1
k = - 2( - 1)² - 4( - 1) + 11 = 13
f(x) = - 2(x + 1)² + 13
For the function f(x) = x2
Find f(5) =
Find f(-5)
Answer:
f(5)=(5)²=25
f(-5)=(-5)²=25
NB. Some teachers don't want 2 equals on one line, if it's your case please don't write the 2 equals on the same line
The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?
Answer:
$121.05
Step-by-step explanation:
Answer:
$121.05
Step-by-step explanation:
Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.
3. Use congruent triangles to find side lengths.
Part I: Draw the two congruent triangles described in the box. Label their vertices and side lengths.
(2 points)
AABC AEFG
AB = 6, GF = 8, AC = 10.
The value on the congruent triangles are BC = 8, EF = 6, and EG = 10.
How to illustrate the graph?It should be noted that a triangle is congruent if they have the same length and the same angles
In this case, triangles ABC and EFG are congruent.
Here, BC = 8
EF = 6
EG = 10
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what are the solutions of x^2-2x+2=0
Thanks if you helped ily
Answer:
R.Jordan
Step-by-step explanation:
He/she owes the bank $54.31, compared to M. Palmer who owes the bank $56.72, and B. Leftwich, who owes the bank $74.19.
R.Jordan owes the bank the least amount of money.
Hope that helps!
-Sabrina
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
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Lorenzo's Survey Results
Food Number of Students
Pizza
8
Hamburger
12
Pasta
14
Steak
6
Lorenzo recorded the favorite food of
students in his class. According to the
results of the survey, what percent of the
students chose Hamburger?
Answer:
30%
Step-by-step explanation:
First, add all of the numbers together and you get 40. After, you divide 12 by 40 and you get 0.3. Next, you have to multiply that by 100 and you get 30%.
Enter an
algebraic expression for the word expression.
9 decreased by n
The expression is
Answer:
9 - n
Step-by-step explanation:
could you make me brainliest if this helped? :)
please help me please
Answer:
18.75
Step-by-step explanation: Because the height of the shape is both the same, you can just find the area like the normal rectangle.
Answer:
12.5
Step-by-step explanation:
If you use the formula you get 12.5 formula is A=a+b/2xh that will give 12.5
-12(5/6a-7/8)+1/14(3 1/2-1 2/5)
Answer:
10a + 10.65
Step-by-step explanation:
- 12(5/6a - 7/8) + 1/14(3.5 - 1.4)
- 12(5/6a - 7/8) + 0.25 - 0.1
10a + 10.5 + 0.25 - 0.1
10a + 10.65
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.
Answer:
31.42 m
Step-by-step explanation:
Since, the path is circular :
The distance traveled can be I tin by taking the Circumference of the path :
Circumference, C = πd
d = diameter = 20 meters
C = π * 20
Since penguin swam. Only halfway around the island.
Hence, distance traveled = 1/2 * C
= 1/2 * 20π
= 31.42 m
pls can someone help me with this I have 10 mins pls!!!
Answer:
I THINK THIS WILL BE THE ANSWER
Step-by-step explanation:
have a nice day and also i have mathswatch too
A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.
What is the volume of the prism?
Enter your answer.
solve (x+5)/3 = 4 for x
please help asap
Answer:
x=7, because 7 plus 5 is 12 and 12 divided by 3 is 4
Step-by-step explanation:
7+5=12/3=4
Answer!asap if you are a bot don't even respond
Answer:
Step-by-step explanation:
Upon factoring all terms we are left with the product of
[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]
The (x-4)s and (x-6)s cancel out and we are left with
(x+6)/(5(3x+5)) which is also equal to
(x+6)/(15x+25)
gina sees a rectangular quilt with an area of 3,528 square inches.The length of the quilt is 72 inches. what is the width of the quilt
Answer:
Step-by-step explanation:
90 x 108 = 10,368 x .015 = 155.52
There is a $35 minimum for all quilting.
Thread will be matched as closely as possible to your quilt. There will be a $5.00 minimum charge on thread. Variegated threads will be a $7.50 charge. We like to use cone threads so please do not bring small spools to be used.
Battings:
We keep the following batts in stock as prepackaged, precut sizes:
Hobbs Poly Down - White and Black, Hobbs Heirloom (80%cotton / 20% poly) Cream, Hobbs Organic Cotton without Scrim (this should not be used on light colored fabrics), Hobbs Wool, Dream Poly—White and Black, Warm and Natural—cotton Cream, Dream Cotton—White and Cream
The following are sizes available:
Crib 46 x 60 Full 92 x 96 Craft 36 x 46
Throw 60 x 60 Queen 92 x 108
Twin 72 x 92 King 121 x 121
Linings:
If you supply the lining, please be sure it measures at least 4” larger than the length and width of the quilt top. We can also supply the lining from our own fabric at the retail cost. If the lining requires piecing, we can do this for a $10 per seam fee.
Bias Bindings can be put on at Quilt ‘N Stitch. We provide the following services. (You must provide the fabric for the binding.)
1. The fee to half bind in $.15 per linear inch. (Half bind is where we attach the binding to the quilt front and you sew down the back.
2. If we do complete binding, finishing on the machine the fee is $.20 per linear inch.
3. If we do complete binding, finishing by hand the fee is $.25 per linear inch..
Yardage required for binding: 60” x45” — 1/2 yard: 90” x 72” — 5/8 yard: 81” x 96” — 2/3 yard: 90” x 108” — 3/4 yard: 120” x 120” — 1 yard.
Answer:
49 inches is the width
Step-by-step explanation:
3,528÷72=49
49*72=3,528
hope this helps <3
find the value of the expression below for x = 10
x'2 - 2(x+5)
A:10
B:70
C:85
D:90
What TWO steps do you take to solve the following equation: 5x - 3 = 12
Answer:
First add 3 to each side
Then divide each side by 5
Step-by-step explanation:
5x - 3 = 12
First add 3 to each side
5x-3+3 = 12+3
5x = 15
Then divide each side by 5
5x/5 = 15/5
x = 3
Answer:
3
Step-by-step explanation:
5x = 12 + 3
x = 15/5
x = 3
For each problem, select the best response.
1. Does 30 minutes of aerobic exercise each day provide significant improvement in mental performance? To investigate this issue, a researcher conducted a study with 150 adult subjects who performed aerobic exercise each day for a period of six months. At the end of the study, 200 variables related to the mental performance of the subjects were measured on each subject and the means compared to known means for these variables in the population of all adults. Nine of these variables were significantly better (in the sense of statistical significance) at the ???? = 0.05 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole, and one variable was significantly better at the ???? = 0.01 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole. It would be correct to conclude:_____.
a. that these results would have provided very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance if the number of subjects had been larger. It is pre-mature to draw statistical conclusions from studies in which the number of subjects is less than the number of variables measured.
b. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance.
c. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides improvement for the variable that was significant at the α = 0.01 level. We should be somewhat cautious about making claims for the variables that were significant at the α = 0.05 level.
d. none of the above.
2. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μμ and standard deviation σ = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H0 : μ = 1.5, Ha : μ > 1.5 and you obtain a P-value of 0.052. Which of the following is true?
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
B. You have failed to obtain any evidence for Ha.
C. This should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the α = 0.05 significance level.
D. At the α = 0.05 significance level, you have proven that H0 is true.
3. An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The new bulb had a lifetime of 1200.2 hours, using a sample of 40,000 bulbs. Although the difference is quite small, the effect was statistically significant. The explanation is:____.
a. that the sample size is very large.
b. that the mean of 1200 is large.
c. that new designs typically have more variability than standard designs.
d. all of the above.
Answer:
1. d. none of the above.
2. A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3.a. that the sample size is very large.
Step-by-step explanation:
1. This experimental analysis is incomplete so none of the options provides the best solution. Therefore the correct answer is choice D.
2. The smallest value which provides basis for rejection for H0 at ∝= 0.05 is P= 0.05.
As P= 0.052 but we are not sure about other variables such as sample size. So option A is the best choice
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3. A sample of 40,000 bulbs will provide a wider range for the results. Therefore the sample size is too large to accurately predict the results .
Hence choice a gives the best answer that the sample size is too large.
For the following studies in which tests comparing two means are conducted, select whether the populations are independent or matched pairs:
a. A study is conducted to see what effect a new drug has on dexterity. A random sample of 30 people is chosen. They are given a series of tasks to perform and a score reflecting their performance. A dose of the drug is administered to the 30 people, and they are then given a similar series of tasks to perform and scored again.
b. A study is conducted to determine the difference between the average amount that people spend on durables and non-durables when they go shopping. A sample of people is chosen and their shopping purchases are observed.
c. A study is conducted to determine if there is a difference between the average length of time spent in traffic on the way to work and the average length of time spent in traffic going home from work for people in a city. A random sample of workers is chosen and asked how long they spend getting to work. Another separate random sample of workers is chosen and asked how long they spend getting home from work.
Answer:
a. Independent
b. Matched
c. Independent
Step-by-step explanation:
If the sample is chosen randomly and there is no biasness in the selection of sample from the population then the selected sample is independent. The matched pairs are when the selection process involves a relation with the sample selected with the desired test results.
We can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
What are Independent and Matched Populations?If a researcher selects a sample from an entire population under study in a random and unbiased manner, the sample population is aid to be independent.
If the selection process in drawing the sample involves a relation with what is expected from the test results, then they are is matched pairs.
Thus, we can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
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Please answer quick and just write explanation quick pls hurry quick for brainlessly
Answer: B
Step-by-step explanation: Thats the same thing i got but ik the answer its:
Answer:
A) (x+3)(x-2)
Step-by-step explanation:
If you factor correctly, you would get this answer. You can also try to unfactor all the answer choices to get the answer as well.
A cleaning company's monthly earnings depend on the
number of houses cleaned, h. Spotless Homes charges
$150 each month to clean one house.
The owners of Spotless Homes plan to raise their fees
starting next month. They will charge $175 each month to
clean each house. The owners write this new equation to
represent the new earnings, e, for cleaning h houses:
e = 150 + 25h
Is their equation correct? Why or Why not? Explain your
reasoning
Answer:
The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:
e=150h
As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:
e=175h
The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.
Jake has 40 books in his collection. If 60% of the books are about sports, how many books are NOT
about sports?
There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Which graph represents the solution set for the inequality: y > x-1
Answer:
F
Step-by-step explanation:
Can anyone help me out with permutations and combinations. I really need help. A Levels
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
How many cubic centimeters will it take to fill the prism below?
960
1920
ООО
48
240
Answer:
there is no picture here! sorry wish I could help more
jay has an album that holds 600 coins. Each page of the album holds 6 coins. If 39% of the album is empty, how many pages are filled with coins ?
____ pages are filled with coins
Pls help me with this
9514 1404 393
Answer:
61
Step-by-step explanation:
If there are 6 coins on each page, then the number of pages for 600 coins is ...
(600 coins)/(6 coins/page) = 100 pages
__
If 39% are empty, then 100% -39% = 61% are filled.
The number of filled pages is ...
61% × 100 = 61/100 × 100 = 61 . . . . pages filled
_____
Comment about percent
You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100
("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)
Find the exact perimeter of the circle with a radius of 5 and round your answer to 2 decimal places
Answer:
31.42
Step-by-step explanation:
Hello, here with geometry questions!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
5/12
Step-by-step explanation:
tanZ = XY/YZ = 15/36 = 5/12