Answer:
f(x) = 5*sin( (5/4)*x) + 2
Step-by-step explanation:
A general sine function can be written as:
f(x) = A*sin(w*x) + M
Where:
A is the amplitude
w is the frequency of the function
M is the midline
Here we know that we want to have:
An amplitude of 5. Then, A = 5
A midline of 2, then M = 2
And a period of (8/5)*pi
For now, we can write our function as:
f(x) = 5*sin(w*x) + 2
Now, we know that for a function of period T, is always true that:
f(x) = f(x + T)
here, the period is T = (8/5)*pi
knowing that sin(0) = sin(2*pi)
Then we must have:
sin(0) = sin(w*0) = sin(w*( 0 + (8/5)*pi)) = sin(2*pi)
Then the arguments of the third and fourt parts must be the same, thus:
w*(8/5)*pi = 2*pi
We can solve this for w now:
w*(8/5) = 2
w = 2*(5/8) = (5/4)
Then the function is:
f(x) = 5*sin( (5/4)*x) + 2
What is 4 27/50 as a decimal
Answer:
4.54
Step-by-step explanation:
How would you characterize the relationship between the hours spent on homework and the test scores
Answer:
sorry can'thelp
Step-by-step explanation:
Answer and explanation:
I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
!!!!Plz Help!!!! How does the slop of AB compare with the slope of the parallel line as you move points A, B, and C? What conclusion can you draw about the relationship between the slopes of parallel lines?
Answer:
As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.
I can canclude that slope of any two parallel lines are equal
Step-by-step explanation:
Can you pleaseee help me I beg u !
Answer:
[tex]x < - 7[/tex]
the answer is option C
which measurement is closest to the area of the shaded region in square inches
find mHK please help
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
The ___________ of a numerical set of data is the value that occurs most frequently.
Pls help I’ll brainlest hurry due in 3 minutes
Answer:
B
Step-by-step explanation:
MOVE TO THE RIGHT 9 TIMES!!
Solve for the value of a
Answer:
a= 90 i think
hope this helped
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
Convert. 2/3and 4/6 into like fraction
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
What’s the answers to 15 and 16
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
A. 19 units
B. 38 units
C. 12 units
D. 22 units
Answer:
I think 12 is 5he right answer
please answer this question
itss 11
Step-by-step explanation:
no worries about it is the same time for me
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
Please no troll include work
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
Write a problem that can be answered using the line plot
Answer:
I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)
Step-by-step explanation:
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
Answer:
it is A because the shape is the same and is just facing a different way
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.
Select the null hypothesis H0.
Group of answer choices
0=13
0=12.5
0<13
0>12.5
Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]