Answers
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
Related Questions
Find the exact values of the six trigonometric ratios of the angle in the triangle 160 and 164
Answers
Answer:
[tex]\sin \theta = \frac{40}{41}[/tex], [tex]\cos \theta = \frac{3}{82}[/tex], [tex]\tan \theta = \frac{80}{3}[/tex], [tex]\cot \theta = \frac{3}{80}[/tex], [tex]\sec \theta = \frac{82}{3}[/tex], [tex]\csc \theta = \frac{41}{40}[/tex]
Step-by-step explanation:
We notice that figure represents a right triangle, the hypotenuse has a length of 164 units and the leg opposite to [tex]\theta[/tex] has a length of 160 units. The sine of [tex]\theta[/tex] is:
[tex]\sin \theta = \frac{160}{164}[/tex]
[tex]\sin \theta = \frac{40}{41}[/tex]
The leg adjacent to [tex]\theta[/tex] is determine by the Pythagorean Theorem:
[tex]r = \sqrt{164^{2}-160^{2}}[/tex]
[tex]r = 6[/tex]
Then, the cosine of [tex]\theta[/tex] is:
[tex]\cos \theta = \frac{6}{164}[/tex]
[tex]\cos \theta = \frac{3}{82}[/tex]
Lastly, we determine the remaining trigonometric ratios by using these identities:
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (2)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (3)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (4)
If we know that [tex]\sin \theta = \frac{40}{41}[/tex] and [tex]\cos \theta = \frac{3}{82}[/tex], then the trigonometric ratios are, respectively:
[tex]\tan \theta = \frac{\frac{40}{41} }{\frac{3}{82} }[/tex]
[tex]\tan \theta = \frac{80}{3}[/tex]
[tex]\cot \theta = \frac{1}{\frac{80}{3} }[/tex]
[tex]\cot \theta = \frac{3}{80}[/tex]
[tex]\sec \theta = \frac{1}{\frac{3}{82} }[/tex]
[tex]\sec \theta = \frac{82}{3}[/tex]
[tex]\csc \theta = \frac{1}{\frac{40}{41} }[/tex]
[tex]\csc \theta = \frac{41}{40}[/tex]
At 10 AM Han and Tyler both started running towards each other from the opposite end of 10 mile path along the river. Han runs at a pace of 12 minutes per mile.Tyler wanted a piece of 15 minutes per mile.how far does Han one after an hour?
Answers
Answer:
Han will run 5 miles in 1 hour.
what is 67 sec and 76 minuts equal to
Answers
Answer:
1 hour and 17 minutes and 7 sec
Step-by-step explanation:
.
1 15/16 divided by 7/8
Answers
Answer:
Your answer is 2 2/7
Translate the word phrase into a math expression.
1 less than a number.
A: n + 1
B: n−1
C: 15 ÷ n
D: 1−n
Answers
To break it down, 1 less means subtracted by one so in the equation (-1) and the number is the variable that is represented by ‘n’ so if something is 1 less than a number it will be n-1
Hope this helps :)
If you are doing one less than a number, than you know that you will need a variable that is being subtracted from. We know that the variable is n. We also know that 1 is being subtracted from it. Therefore, the answer is n-1.
Hope you have an amazing day!✨❤️
find the area of each trapezoid 32 ft x 16 ft 18 ft
Answers
Answer:
A = 432 ft^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2} *h[/tex]
A = (32+16)/2 * 18
A = 48/2 * 18
A = 24*18
A = 432 ft^2
A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman
Answers
Answer:
[tex]Probability = 0.3131[/tex]
Step-by-step explanation:
Required
Determine the probability of selecting a woman
The given data can be represented to show women distribution as:
-------------------------------------- Women ------------------- Total
Assistant Professors ----------- 108 ----------------------253
Associate Professors ---------97 -------------------------301
Full Professors -----------------78---------------------------350
First, we calculate the number of women
[tex]Women = 108 + 97 + 78[/tex]
[tex]Women = 283[/tex]
Next, we calculate the total number of professors
[tex]Professors = 253 + 301 + 350[/tex]
[tex]Professors = 904[/tex]
Probability of selecting women is then calculated as:
[tex]Probability = \frac{Women}{Professors}[/tex]
[tex]Probability = \frac{283}{904}[/tex]
[tex]Probability = 0.31305309734[/tex]
[tex]Probability = 0.3131[/tex] -- (approximated)
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
Answers
Answer:
I think it’s is into fifths if I’m correct
Step-by-step explanation:
the question is below
Answers
Answer:
use sin to find the angle x
Answer:
We can use the triginotemtric ratio inverse cos to solve this problem.
Cos=adjacent side/hypotenuse
cos(h)=21/69
[tex]cos^-1(21/69)=x\\cos^-1(0.30434782608) \\x=72[/tex]
Step-by-step explanation:
Eighty percent of all dentists surveyed agree: Zilch toothpaste tastes best.
Percent of Dentists Surveyed Disagree Agree Do you think this information is misleading? Why or why not?
a. Yes, because it does not state how many dentists were surveyed.
b. Yes, because it does not state on the graph what percentage agrees with the statement.
c. No, because the graph shows eighty percent of the dentists agreeing with the statement. d. No, because it states which toothpaste was used in the survey.
Answers
Answer:
a. Yes, because it does not state how many dentists were surveyed.
Step-by-step explanation:
The graph doesn't show how many dentists were actually surveyed, which is a very important factor in interpreting results. Some people could have their own assumptions in this case. Some would think they only surveyed 5 dentists rather than 30 dentists, which affects the percentage or outcome of the result. The sample size in a survey is very crucial when it comes to conducting a research as well as analyzing the result. It will show a transparent distribution of the survey responses.
Answer:
A. Yes, because it does not state how many dentists were surveyed.
Step-by-step explanation:
Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?
Answers
Answer:
The answer is "0.95 and 0.5271".
Step-by-step explanation:
[tex]p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\[/tex]
In point a)
p ( positive diabetes )[tex]= 1 - 0.05 = 0.95[/tex]
In point b)
[tex]p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }[/tex]
[tex]=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271[/tex]
PLEASE HELP ILL GIVE YOU BRAINLIEST
Answers
Answer:
78.54
Step-by-step explanation:
So the rounded answer would be 100. I honestly am not 100% sure. I just looked it up. sorry if it is wrong! :c
What is the reciprocal of 1/5?
5/1
4
1/5
Answers
The mean running time of a certain variety of nickel-cadmium rechargeable flashlight battery is known to be normally distributed with a mean of 8.5. A change in production method for this battery has been proposed, and a simple random sample of 64 batteries produced by the new method has mean running time of 8.72 hours. Assume the population is normally distributed with a standard deviation of 0.55 hour as known and remains unchanged, test a claim that the new production method improving the battery mean running time using 0.05 significance level.
Answers
Answer:
answer is a
Step-by-step explanation:
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 278 279 185 299 245 281 291 234 278 227 281
Answers
Answer:
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueStep-by-step explanation:
First of all, we will sort the data.
185 227 234 245 278 278 279 281 281 291 299
Mean:
Mean is defined as the sum of values divided by the number of values.
n = 11
[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]
Median:
As the number of values is odd,
The median will be:
[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]
The 6th value is 278
Median = 278
Mode:
Mode is the most frequent value in a data set.
In the given dataset,
278 and 281 are modes as both are repeated twice
Mid-range:
Mid-range is the average of maximum and minimum value
So,
Min = 185
Max = 299
So,
[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]
Hence,
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueWhich situation represents a non-proportional relationship?
The cost of purchasing p pounds of salmon for $7.99 per pound.
The amount a student makes mowing m number of lawns charging $35 per lawn.
The amount of water draining at a rate of 2.5 gallons per minute.
The total cost of renting a jet ski for $25 per hour plus a fee of $50.
Answers
Answer:
Correct option:
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
Step-by-step explanation:
Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".
The first three options represents a proportional relationship.
But the last option does not.
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
That is,
TC = 25·h + 50
The relationship is linear not proportional.
A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?
Answers
Answer:
20%
Step-by-step explanation:
4+3+7=14
14÷7=2
2×10=20
If I am wrong please tell me I haven't had to do this me method in 3 years
What is the sum of the first 34 numbers in the series below?
147 + 130 + 113 + 96 + . . .
-4,828
-4791
-4539
-4131
Answers
Answer:
-4539
Step-by-step explanation:
147 + 130 + 113 + 96 +
arithmetic, with
a = 147 and d 130 - 147 = -17
Sn = (n/2)(2a + d(n - 1))
S34 = (34/2)(2*147 - 17(34 - 1))
= 17(294 - 561)
hope it helps!
Answer:
What’s pad let?
Step-by-step explanation:
Whats 1+1
window
11
2
Answers
Answer:
2
Step-by-step explanation:
If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.
Answer: just saw the video.
Step-by-step explanation:
are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5
Answers
Answer:
both are linear
a) 6x - y = 7
b) 2x - y = -5
Step-by-step explanation:
in the figure above AB= 4×+6 and BC=7×+15. if AC=120 , find the length of segment AB.?
Answers
Answer:2x+6
Step-by-step explanation:
Which function could be represented by the graph on the
coordinate plane?
Answers
The reason is that whatever is in the parenthesis is always opposite. So since the graph is on the right side that means it’s -8 not positive 8. And the -6 represents a vertical translation and the graph is placed below zero.
Answer:
f(x)=(x-8)^2 -6
Step-by-step explanation:
What is the equation of parabola
Answers
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
so the equation of the parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.
Mr. Ward invests $45,000 in a bank at the beginning of the year. He will receive an interest rate of 8% per year. How much interest will Mr. Ward receive in 1/2 of a year
Answers
Answer:
If the investment she is considering will pay 8.25 percent compounded monthly, ... Value: Herbert Hall just received an inheritance of $35,775 from his great aunt. He ... If Herbert can earn 4.75% per year with quarterly compounding for 32 years, how ... You identify a bank CD that pays an interest rate of 4.25 percent.
Step-by-step explanation:
Which of the tables represents a function?
a. Table A
b. Table B
c. Table C
d. Table D
Answers
Answer:
the answer is D (U,U).-
Step-by-step explanation:
Find the value of x that makes the equation true:
x + 3 = 4
Answers
Answer:
x = 1
Step-by-step explanation:
Subtract 3 from both sides
x+ 3 - 3 = 4 - 3
gives x=1
What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units
Answers
Answer:
3 and 1/2 units
Answer:
3 and 1/2 units
Step-by-step explanation:
hope this helps you lol
E
The demand on a power plant changes over time. cause or effect
Answers
Answer:
effect
Step-by-step explanation:
? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?
Answers
Answer:
13
Step-by-step explanation:
125 - 60= 65
65/5= 13
itll take her 13 weeks
I need help please help me
Answers
Answer:
You're right- I'm pretty sure it's C.