For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answers
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.
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Consider the expression
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I need help will mark you the brainliest
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Answer:
i thinnk A
Step-by-step explanation:
help me i am gonna give points to the people give me correct answer
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Answer:
lol
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Answer:
Arjan should look for other cards that add up to $$94%
Step-by-step explanation:
I don't know it but I guess this one, let me know if it help
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answers
Answer:
274
Step-by-step explanation:
Hey There!
So if you didnt know the median is the middle number ( in value) of the set
So first we would like to arrange the numbers in order from least to greatest
187 , 199 , 211 , 250 , 298 , 331 , 347 , 362
Then we take the middle number(s)
if there is just one then that is the answer but if there is two than we add them together and divide that by 2
In this case there are two which would be 250 and 298
So we add them together
250+298=548
Then we just divide that by 2
[tex]\frac{548}{2} =274[/tex]
Therefore the median is 274
hope this helps :)
Step-by-step explanation:
l hope this answer is helpful to you
PLEASE ANSWER ANY QUESTIONS ASAP THANK YOU SO MUCH
Answers
Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?
Answers
Answer:
He can completely fill six glasses, and there will be one glass 2/5 of the way full.
Step-by-step explanation:
Write the linear inequality shown in the graph. The gray area represents the shaded region. y ≤ –x + 4 y ≤ –x – 4 y ≥ –x – 4 y ≥ –x + 4
Answers
For Example:
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≤ 3x + 4
B. y ≤ 3x – 4
C. y ≥ 3x + 4
D. y ≥ 3x – 4
Answer: C
Step-by-step explanation:
1. The graph indicates that the line intersect the y-axis at -4.
2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:
Point (0,2)
I hope this helps! :)
Raul borrows $600 at an interest rate of 8% per year for 4 years. How much simple interest will he have to pay?
Answers
__________________________________
A = P × i × n = $600 × 8% × 4 Years= $192= $600 + $192= $2,619Raul Will Have To Pay $2,619__________________________________
-2×-7y=30
7×+4y=18
×=
y=
Answers
Answer:
Answer is -7 Hope this helps :D
Step-by-step explanation:
Angel got 4 problems wrong on a test of 50 questions. What percent of the questions did he get CORRECT
Answers
Answer:
12.5%
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
50-4 = 46
46/50 *100 = 92%
simplify the expression Please HELP
Answers
The order of operations is PEMDAS - parenthesis, exponents, multiplication/division, addition/subtraction.
Use the order of operations to know what to simplify first in an expression. P = parenthesis so you simplify what is in parenthesis first. 24/12 = 2, so your first box is 2. The expression now looks like this:
9 x (2)^2 + 5
The next letter is E, which stands for exponents. You square two next. 2^2 = 4 so your next box is 4. The equation now looks like this:
9 x 4 + 5
The next two letters of PEMDAS or MD, which stand for multiplication/division. If you have either or both of these to do in your expression, you do them now. That means you now calculate 9 x 4, which is 36. This leaves you with 36 + 5. Your 3rd box is 36.
The final letters of PEMDAS are AS. Doing any addition/subtraction happens last. Now you can add 36 + 5 to get 41 (your final box)
9 x (24 / 12)^2 + 5 = 41
Let me know if you have any questions/didn’t understand something. I hope this helps :)
What is the area? Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
81 or 20 1/4
Step-by-step explanation:
im not sure sorry
Answer:
[tex] \frac{1681}{4} [/tex]
or
[tex]105 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]10 \frac{ + 1}{ \times 4} [/tex]
10×4=40+1=41, that will be your numerator (number at the top of the fraction) and the denominator 4 will stay the same. (bottom number)
[tex] \frac{41}{4} [/tex]
the base and the height will remain the same.
Formula : base × height = Area
[tex] \frac{41}{4} \times \frac{41}{4} = \frac{1681}{16} [/tex]
16 goes into 1681 105 times remainder 1.
so as a mixed number it will be
[tex] 105 \frac{1}{4} [/tex]
Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?
Answers
Answer:
x=17
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
mZR
=
Answers
Answer:
m<R = 22.62°
Step-by-step explanation:
Reference angle = R
Opposite = 5 cm
Hypotenuse = 13 cm
Apply the trigonometric function SOH:
Sin R = Opp/Hyp
[tex] Sin (R) = \frac{5}{13} [/tex]
[tex] R = sin^{-1}(\frac{5}{13}) [/tex]
R = 22.6198649°
m<R = 22.62° (nearest hundredth)
A normal six-sided die is thrown once. The number of outcomes in the sample space is
Answers
The number of outcomes in the sample space is 6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.
So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".
Sample space by its definition is list of all the possible outcomes of an experiment.
S={1,2,3,4,5,6}
Hence, the number of outcomes in the sample space is 6.
To learn more on probability click:
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Which rectangle represents dilation by a scale factor of 2 from the rectangle's center?
Answers
Answer:
it’s D
Step-by-step explanation:
I took the test
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answers
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
15x^2+5x GCF help. out please
Answers
Answer:
5x is the GCF
Step-by-step explanation:
How many solutions does x2 - 2x + 9 = 0 have and what type are they? Do NOT find the
actual solutions.
Answers
Answer:
3
Step-by-step explanation:
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 1616 hours or less for the week. The 7th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false.
The 56th percentile is greater than or equal to 26 hours.
a. True
b. False
Answers
Answer:
False
Step-by-step explanation:
Simplify: -6(x + 5) show work plz
Answers
Answer:
The answer is -6x - 30
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 6x - 6 \times 5[/tex]
2) Simplify 6 × 5 to 30.
[tex] - 6x - 30[/tex]
Thus, the answer is -6x - 30.
Answer:
-6x - 30
Step-by-step explanation:
Multiply using the distributive property.
-6x - 30
Hope this helps
the spinner above is used in a game. what is the theoretical probability of the given event with one spin? p(5)
a. 7/8
b. 1/8
c. 5/8
d. 0
Answers
The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
What is mean by Probability?The word probability refers to the likelihood of an event occurring. Probability means possibility. And, It is branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
The spinner is used in a game.
Since, There are total 8 outcomes in spin.
Hence. The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
Thus, The value of theoretical probability of the event with one spin p(5) is,
⇒ p (5) = 1 / 8
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A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.
What is the equation for this cosine function?
Answers
Answer:
The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.
Step-by-step explanation:
The given values are:
Period,
B = [tex]\frac{5 \pi}{6}[/tex]
= [tex]\frac{12}{5}[/tex]
Amplitude,
A = 6
Vertical translation down,
D = -5
As we know,
The equation of cosine function will be:
⇒ [tex]y=A \ Cos(Bx)+D[/tex]
On substituting the values in the above equation, we get
⇒ [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]
⇒ [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]
Answer:
Step-by-step explanation:
Can someone help me with this problem number 4
Answers
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -[tex]\frac{11}{7}[/tex]x + 2/7
slope is the coefficient of the 'x' term
. Robbie decides to make 12 batches of chicken noodle soup. How much ground black pepper should he use? ( THERE ARE 1/8 TEASPOON OF GROUNDPM PEPPER IN ONE BATCH) pls put in fraction form
Answers
the answer for your question is 1 1/2
Which is an equivalent expression for 6(2y+4)+5y?
please help
Answers
Answer:
17y+24
Step-by-step explanation:
simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:
12y+24+5y
then you simplify farther by adding like terms
17y+24
what expressions are equivalent to 10 - 12
Answers
Answer:
B
Step-by-step explanation:
(*￣3￣)╭ When subtracting they both equal the same of -2
B
Explanation:
When you multiply 2 and 5 (10) and 2 and -6 (-12), you get the same answer as 10 - 12.
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.
Which of the following are the appropriate null and alternative hypotheses for this research question?
A)
0: =0.50
: ≠0.50
B)
0: =0.50
: >0.50
C)
0: =0.55
: ≠0.55
D)
0: =0.55
: >0.55
Answer is:
B
Answers
Answer:
[tex]H_{0} = 0.5[/tex]
[tex]H_{a} > 0.5[/tex]
Option b
Step-by-step explanation:
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election.
The null hypothesis is always an equalityu related to the expected, or tested value. In this question, the tested value is half of the students, a proportion of 0.5, that is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is related to the test we are taking. In this question, we are testing if the majority of the students plan to vote, that is, if the proportion of the students that plan to vote is higher than 0.5. So [tex]H_{a} > 0.5[/tex]
So the correct answer is given by option B.
Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.
Part A:
What is the volume of Sarah's box?
Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?
Answers
Answer:
A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3
35.5 + 10.7 + 10.3 = 56.5
B. 21÷2 = 10.5
56.5 ÷ 10.5 = 5.380952381
5 pictures frames
Write the equation of this circle in standard form.
Answers
Answer:
x² + y² = 16
Step-by-step explanation:
(x-h)² + (y-k)² = r² -- The standard form of equation of circle
(x-0)² + (y-0)² = 4²