The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
What is a function?
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
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Answer:
B. y = –3cos(x)
Step-by-step explanation:
Im extremely sure, have a great day
Write an equivalent expression.
- 2(8+79)
Choose the correct answer below.
OA. -2(8 + 7g) = - 16 + 7g
OB. – 2(8 + 7g) = 7g - 16
OC. – 2(8 + 7g) = - 2 - 14g
OD. -2(8 +79) = - 16 - 14g
-
-
Please help
Answer:
D
Step-by-step explanation:
You just have to expand and you'll get the answer.
sue got to the library at 10:30 am.
she stayed at the library for 40 minutes
then she walked home.
sue took 1[tex]\frac{1}{4}[/tex] hours to walk home
at what time did sue get home?
Answer:
he arrived at 11:05 am.....
Answer:
12:25pm
Step-by-step explanation:
10:30 + 40 minutes = 11:10
11:10 + 1hr and 15 mins = 12:25
ILL GIVE BRAINLIEST. ANSWER ASAP
Answer:
283 m^2
Step-by-step explanation:
To find the area of a circle, you need to times pi, in this case 3.14, by the radius,9.5 here, squared.
A= π (r^2)
Proving the Sum of the Interior Angle Measures of a Triangle Is 180°
Answer:
okay that is great.......?
answer:
the full answers for it
Step-by-step explanation:
lily wants to find out how many students in her school enjoy pizza. describe a method she could use to get a representative sample without asking every single student in her school
Using sampling concepts, it is found that she could use systematic sampling, asking one out of every 10 students for example, as long as it involves students of all possible groups.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, the most viable type is a systematic sample, asking one out of every 10 students for example, as long as it involves students of all possible groups.
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the gravitational potential energy of an object is given by the formula p= mfg. which equation is correctly solved for the height, h?
a. h= p + mg
b. h= p-mg
c. h= p/(mg)
d. h=pmg
Step-by-step explanation:
c. h= p/(mg)
HOPE it helps
what is the answer i need help
Answer:
[tex]588mm^3[/tex]
Step-by-step explanation:
Each side of the blue pyramid is 3 times the size of the red pyramid.
Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
answer "Less than"
Step-by-step explanation:
a) 1 2/3 = 5/3 = 1.666 ...
b) 1 5/6 = 11/6 = 1.833 ...
a < b
Answer:
1 5/6 > 1 2/3
Step-by-step explanation:
=> 1 5/6 = (1*6)+5/6
=> 1 5/6 = 6+5/6
=> 1 5/6 = 11/6
so like that, 1 2/3 = 5/3
now the denominators should be the same
for that,
5*2/3*2 = 10/6
11/6 and 10/6
=> 11/6 > 10/6
=> 1 5/6 > 1 2/3
Solve each equation.
Equation 1: x=32
Equation 2: y=28
Answer:
x = 32
x = 28
Step-by-step explanation: hope this helps
2x+5=12 pleas and thank you :D
Answer:
x= 7/2
Step-by-step explanation:
move the constant 2x+5=12 to make it 2x=12-5.
subtract 12-5= 7
2x=7 divide both sides
x=7/2
i did try my best hope this helps :)
A and B are complementary. If B = 26°, what is the measure of A?
26°
154°
64°
74°
Answer:
64°
Step-by-step explanation:
When angles are complementary, they can be added together to equal 90°.
90° - 26° = 64°
The measure of angle A is 64°.
What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%
Answer:
1/8%
Step-by-step explanation:
just divide the 72 and 9 , the 9 divide it as a percentage
Step-by-step explanation:
100% = 72
1% = 100%/100 = 72/100 = 0.72
9 is that many % as 1% fits into it.
so,
9/0.72 = 12.5% = 12 1/2 %
the third answer option is correct.
Can someone please help me out with this question?
Answer:
A. x=6, y=3
Find the point where the two lines intersect and find the x and y coordinates where they intersect.
log2 (10x+5) - log2 5 =5
PLEASE SOLVE AND SHOW WORK
THANKS A TON
Answer:
[tex]\sf x =15.5[/tex]
Step-by-step explanation:
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]
[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]
[tex]\sf 2x+1 =32[/tex]
[tex]\sf 2x+1 -1=32-1[/tex]
[tex]\sf 2x =31[/tex]
[tex]\sf x =15.5[/tex]
Answer:
Step-by-step explanation:
[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]
[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x
~~~~~~~~~~~~~~
[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5
[tex]log_{2} \frac{10x+5}{5}[/tex] = 5
[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]
10x + 5 = 32 × 5
2x + 1 = 32
x = 15.5
Solve 4g - 5 ≤ 11 for g.
Answer:
g ≤ 4
Step-by-step explanation:
4g - 5 ≤ 11
Add 5 on both sides,
4g ≤ 11 + 5
4g ≤ 16
Divide 4 on both sides,
g ≤ 4
The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet
Answer:
5 ft
Step-by-step explanation:
Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:
P = 2W + 2H
Let's sub in the given values, P and W:
18 = 2(4) + 2H
Now, let's solve for the height, H:
18 = 8 + 2H
10 = 2H
10/2 = H
5 = H
I hope this helps!
1 doller bill and a 10 doller bill and for quarters makes what?
Answer:
12$
Step-by-step explanation:
1 plus 10 from the singular dollar bill and the 10 dollar bill now we have 11 then we add one because there are 4 quarters which are 1 dollar that is why we have 12 dollars
Evaluate 2-(-4) + (-g) where y= 7.
Answer:
-1Step-by-step explanation:
2 - (-4) + (-y)
Substitute y = 7 to the expression:
2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1
Find the area if the trapezoid. THANK YOU!
Answer:
4x^3 - 22x^2 + 6x + 20
Step-by-step explanation:
((b1+b2)/2)(h)
Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Carlos can average 2.5 miles per hour. How long will it take for them to meet up?
Answer:
I'm not sure but if this is on a calculus paper, this may put you on the right track?
Step-by-step explanation:
definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.
Someone Help me please
What is the absolute deviation of 30 in this data set?
{26, 35, 27, 30, 22}
2
3
5
8
Answer:
The answer is 2
Step-by-step explanation:
I took the k12 test. Hope this helps!
The correct answer is 2
What is mean absolute deviation?The mean absolute deviation is a measure of variability that indicates the average distance between observations and their mean.How to calculate the MAD (Mean absolute deviation)?Take the sum of the absolute value Divide the sum of the absolute value by the total number of values in the data set. Substract the mean after dividing the sum of the absolute value by the total number of values in the data set.
Now , taking the data {26,35,27,30,22}
Adding the data
26+35+27+30+22 = 140
Now , Divide 140 by the total number of values in data set is 5
Therefore, 140/5 = 28
The mean is 28
Now substract the mean from the absolute deviation of 30
that is 30-28 = 2
Hence , The absolute deviation of 30 is data set is 2.
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Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes
Multiply the price of each by the quantity purchased, add those together, then multiy the total by the sales tax.
Total = 1.05(3.99p + 2.50b)
What are the solution(s) for the quadratic equation?
Y=x^2-2x+1
[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]
.For any positive integer n, prove that n^3 - n is divisible by 6.
Answer:
Step-by-step explanation:
a. Find the slope of the line that passes through these points.
The slope is
(Type an integer or a simplified fraction.)
b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.
O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)
O B. No. The slope between (1,4) and (3,12) is equal to (4,16)
. The slope between (3,12) and
th
slope formula : [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
a. coordinates : (3,12) and (4,16)
[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]
[tex]\sf \rightarrow \dfrac{4}{1}[/tex]
[tex]\sf \rightarrow 4[/tex]
b. coordinates : (1,4) and (3,12)
[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]
[tex]\sf \rightarrow \dfrac{8}{2}[/tex]
[tex]\sf \rightarrow 4[/tex]
⇒ A. Yes. Both slopes are equal to 4
You are deciding between First National Bank and Liberty Bank. They both offer checking and savings accounts. First National charges a $10 fee to receive checks and charges $2.50 per ATM transaction. Liberty Bank has no check fee but charges $3.25 per ATM transaction. How many times do you need to be charged an ATM fee before you are paying the same amount of money in fees at both banks?
Step 1: Define your variables - Look at the question statement. What are you being asked to find?
Step 2: Write 2 equations that use those unknown variables
Step 3: Solve the system of equations
Step 4: State your solution. What does it mean in the context of the word problem?
Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)
Answer:
d.) (4,6)
Step-by-step explanation:
(-y,x) is the formula for a 90 counter-clockwise rotation.
So, it's (4,6)
Please show the steps as well.
Answer:
x = 4Step-by-step explanation:
Rewrite the equation as
[tex]2^{x -1}=8\\[/tex][tex]2^{x -1}=2^3[/tex]Powers are equal if bases are same
[tex]x -1=3[/tex][tex]x=3+1[/tex][tex]x=4[/tex]~Hello! I will try to help you!
[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]
»Convert the number 8 to a power of 2, then:-
[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]
»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.
[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]
»Let's find the value of x in the above equation!
[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]
With this it's done!
A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?
Answer:
5
Step-by-step explanation:
16 1/4 divided 3 1/4