The period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π
How to determine the period of the function?The function is given as:
y = 2∕3 cos(4∕7x) + 2.
The above function is a cosine function
A cosine function is represented as:
y = A cos(B(x + C)) + D
Where the period is
Period = 2π/B
By comparing the equations, we have
B = 4/7
Substitute B = 4/7 in Period = 2π/B
Period = 2π/(4/7)
Express as product
Period = 2π * 7/4
Divide 4 by 2
Period = π * 7/2
Evaluate the product
Period = 7/2π
Hence, the period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π
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what is 5/6 - 3/8 plz help
A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?
a. The point estimate is 0.765 and the margin of error is 0.07.
b. The point estimate is 0.765 and the margin of error is 0.835.
c. The point estimate is 0.80 and the margin of error is 0.035.
d. The point estimate is 0.80 and the margin of error is 0.07.
e. The point estimate could be any number within the interval and the margin of error is 0.035.
Answer: c. The point estimate is 0.80 and the margin of error is 0.035.
Step-by-step explanation:
Given: The 95 percent confidence interval was (0.765, 0.835).
Confidence interval = Point estimate ± Margin of error.
I.e. Point estimate + Margin of error = 0.835 (i)
Point estimate - Margin of error = 0.765 (ii)
Add (i) and (ii), we get
2 (Point estimate)= 1.60
⇒ Point estimate = 0.80
Put this in (i), we get
0.80+Margin of error = 0.835
⇒ Margin of error = 0.835 -0.80
⇒ Margin of error = 0.035
Hence, the correct statement is:
c. The point estimate is 0.80 and the margin of error is 0.035.
An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.
15 necklaces and 1 bracelet
8 necklaces and no bracelets
no necklaces and 16 bracelets
3 necklaces and 8 bracelets
no necklaces and 8 bracelets
5 necklaces and 6 bracelets
Answer:
8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets
Step-by-step explanation:
15 necklaces and 1 bracelet equals $38.75
8 necklaces and no bracelets equals 20
no necklaces and 16 bracelets equals 20
3 necklaces and 8 bracelets equals 17.5
no necklaces and 8 bracelets equals 10
5 necklaces and 6 bracelets equals 20
Round 42,736,325 to the nearest million
Answer:
i hope this helps :)
Step-by-step explanation:
Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576
Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.
Thus 19,546,576 rounded to the nearest million is 20,000,000.
Answer:
43 million
43000000
Step-by-step explanation:
7 rounds up
Find the volume of the cylinder if the radius is 4.5cm and the height is 8cm. Use 3.14 for TT
Answer:
508.68cm²
Step-by-step explanation:
Volume of a cylinder = πr²h
given r=4.5 cm h =8cm and π=3.14
so volume=
3.14×4.5×4.5×8
=508.68cm²
find x and round to the nearest tenth
Answer:
X=21.4
Step-by-step explanation:
^^^
Solve
Four times the sum of 6 and some number is 32. What is the number?
Answer:
Thus, the value of x is 1.
Step-by-step explanation:
4(2x+6)=32
8x+24 =32
8x =32-24
8x =8
x =8÷8
x =1
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
3600:25 =144
reduced price is 144$
Which number is divisible by 8? O 1,026 1,024 1,022 1,020
Answer:
1024
Step-by-step explanation:
1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer
Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.
Answer:
sOrRy BoW nEeD SoMe PoInTs Bow
Step-by-step explanation:
Which expression shows the sum of 8 and a number f
Answer:
8+f
Step-by-step explanation:
The SUM of 8 and f
Pls tell me if Im wrong
Hope this helps
Which subtraction sentences have a difference of 142 Choose Yes or No for each number sentence.
5 - 4. Choose.
8
Choose
Choose...
9-81 choose.
Answer:
the question does not make sense. please rewrite the question.
There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction
Please can someone help thank you very much :)
Answer:
1/3
Step-by-step explanation:
2/6 means that 2 out of the 6 tills have comfy seats. 2/6 simplified is 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The total amount of tilts is 6
The amount of tilts with comfortable seats is 2
So there are two tilts with comfortable seats out of six tilts that are in the supermarket
Now write it as fraction:
[tex]\frac{2}{6}[/tex] = [tex]\frac{2*1}{2*3}[/tex] (alternatively 2/6)
Here we get the probability
// divide numerator and denominator by 2
[tex]\frac{2*1}{2*3}[/tex] = [tex]\frac{1}{3}[/tex] (alternatively 1/3)
what are the x intercepts of y=x^2-x-12
Answer:
The person at the top is right. Give them brainliest
73% of 148 grams is what?
Answer:
108.04 grams
Step-by-step explanation:
Answer: 108.04
Step-by-step explanation:
the rate of currency exchange published in the newspaper on a certain day showed 12 pound could be exchange for 96 dollars. how many dollars could be obtained for 102 pounds.
Answer:
$816
Step-by-step explanation:
ratio would be:
12:96
or:
1:8
so one pound=8 dollars
102x8=816
Sally has 21 books sam has 24 time books than Sally how many books does Sam have
Can you delete my comment? I made a mistake-
Sally's books = 21
Sam's books
= 24 times Sally's books
= 24 times 21
= 24 × 21
= 504
Need help with a math question urgently
If 1
Answer:
Wheres the picture-
Step-by-step explanation:
HELPPPPPP ANSWER ASAP
Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?
Answer:
(3×25)÷5=15
hope it helps you
please mark me as brainlist
Answer:
15
Step-by-step explanation:
first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15
Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?
Answer:
about 29 seconds and 74 meters
Step-by-step explanation:
What is the difference between the leg and hypotenuse of a right triangle?
Answer:
The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight
Step-by-step explanation:
Sorry i did my best explanation
Triangle A is similar to triangle B.If the scale factor of triangle A to triangle B is 4 to 5,what is the ratio of the perimeter of triangle A to triangle B?
Answer:
4:5
Step-by-step explanation:
The ratio of the perimeter of the two similar shapes is equal to the scale factor of the two similar shapes.
What is the property of 4x+6=18
Answer: 4x-6= 18
4x=24
x= 24 & 4
x=6
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?
But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.
A horizontal slice of the rectangular prism below is made. The slice is parallel to rectangle. Which of these statements are true? Choose all that correct
Write
7
2
5
as an improper fraction.
Answer:
7*2/5 it is a improper fraction
Answer:
[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Those are all the improper fraction forms of 7, 2, and 5.
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
Is the line vertical or horizontal if the equation is x=-1.
Answer:
the line is vertical
Answer:
vertical.
Step-by-step explanation:
you can tell its vertical because it says x=-1, meaning it will be on the x axis. i also graphed it in the picture. hope this helped !
PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEE
1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that , and she wrote the following equation to represent the value of .
(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of . Show your work.
(b) Write an equation and find the circumference of the circle.
Answer:
Answer:
C = 14 x Pi
C = 14 x 3.14
C = 43.96 in
Answer:
Step-by-step explanation:
The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)
aplicaciones de la geometría en la vida
Answer:
I don't understand I'm sorry.....