The time period of the given function will be π.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following expression -
y = (-1/3)sin(2x)
We have -
y = (-1/3)sin(2x)
We can write -
ωx = 2x
Now -
ω = 2π/T
(2π/T)x = 2x
2π/T = 2
T = 2π/2
T = π
Therefore, the time period of the given function will be π.
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At a factory, Joe assembles 12 parts each minute. He
has assembled 156 parts when Sheila starts on the line,
assembling at a pace of 15 parts per minute. If their
assembly rates continue, will Sheila ever catch up to Joe?
Explain and show all work.
Answer:
yes, after 52 minutes
Step-by-step explanation:
If t represents the time in minutes each person is working after Sheila arrives, then the number of parts produced is ...
Eric: 156 +12t
Sheila: 15t
These values are equal when ...
156t +12t = 15t . . . . . Eric's part count is equal to Sheila's part count
156 = 3t . . . . subtract 12t
52 = t . . . . divide by 3
Sheila will catch up to Joe after 52 minutes.
Lee fills a watering can with 8 cups of water. He pours 4 fluid ounces of the water onto each of the 10 plants in his room. How many cups of water are left in the can?
By performing a change of units, we will see that the amount of water left in the can is 3 cups.
How many cups of water are left in the can?We know that the can originally has 8 cups of water.
Then, you use 4 fluid ounces into each of 10 plants, then the amount used is:
40 fluid ounces.
Now we need to do a change of units.
8 fluid ounce = 1 cup.
1 = (1 cup/ 8 fluid ounces)
Then we can rewrite:
40 fluid ounces = 40 fluid ounces*(1 cup/ 8 fluid ounces) = 5 cups.
This means that lee used 5 cups out of the 8 in the can, so the amount of water left is:
8 cups - 5 cups = 3 cups.
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How do I do this fraction with Distributive Property???
Answer:
[tex]3a - 1[/tex]
Explanation:
[tex] \frac{9a - 3}{3} [/tex]
Factor out 3
[tex] \frac{3(3a - 1)}{3} [/tex]
Cancel out the common factor 3
[tex]3a - 1[/tex]
Determine the seating capacity of an auditorium with 10 rows of seats if there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third row, 27 seats in the fourth row, and so on. Total number of seats =
Answer:
94 capacity
Step-by-step explanation:I did math
1/10 Write as a decimal. Then compare 1/10and 0.104. 1/10 =
Answer: 0.1
0.1<0.104
Step-by-step explanation:
(30 points and Brainliest)
If the value of a in the quadratic function f(x) = ax^2 + bx + c is 4, the function will_____.
A)open down and have a minimum
B)open up and have a minimum
C)open down and have a maximum
D)open up and have a maximum
Answer:
I honestly believe it's B I'm sorry if it's wrong
Triangle ABC has a perimeter of 40 inches. What is AC?
Answer:
AC is a Side of Traingle .....................
The measure of the side length of AC will be 13 inches
What is the perimeter of a triangle?Let the triangle be ABC. Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
Triangle ABC has a perimeter of 40 inches.
The side's lengths are given as AB = 12 inches and BC = 15 inches.
Then the measure of the side length of AC will be
40 = 12 + 15 + AC
40 = 27 + AC
AC = 13 inches
The missing diagram is given below.
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At a summer camp, a student has to choose an activity from group A and an activity from group B. How many different combinations of activities can he choose from?
Group A
swimming
canoeing
kayaking
snorkeling
Group B
archery
rappelling
crafts
cooking
A:8
B:2
C:4
D:16
Answer:
16
Step-by-step explanation:
each activity is worth 4.
If you borrow $1425 for 9 years at an interest rate of 4%, how much interest will you pay?
Answer:
You would pay $242 in total interest over the life of this loan.
Step-by-step explanation:
PLEASE HELP I NEED IT REALLY BAD
Btw, my mistake, correction for the volume of prism, it's supposed to be:
Area of cross section × height
Hope this helps =)
if 6 pairs of socks cost $6.90, what is the price for one pair of socks
Answer:
1.15
Step-by-step explanation:
6.90 divided by 6 is 1.15
Answer:
$1.15
Step-by-step explanation:
6.90/6 = 1.15
How do we find the difference between principal and interest?
Answer:
Principal is the money that you originally agreed to pay back. Interest is the cost of borrowing the principal.
Step-by-step explanation:
First, calculate the interest portion of the payment by multiplying the mortgage balance by the annual interest rate. Then divide the result by 12, for the number of months in the year:
What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)?
Answer:
-18x^2+3x-2/x
Step-by-step explanation:
If 15 pies will serve 120 people, how many pies are needed for 152 people?
Answer:
nineteen
Step-by-step explanation:
120 people = 15 pies
divide both sides by 120
1 person = 15/120 pies
152 people = 15/120 x 152 pies
= 15/30 x 38 = 1/2 x 38 = 19
To find the answer, you divide 120 by 15, which is 8.
if rx - st = r , which expression represents x
Which of the following statements regarding the transmission of pathogens from environmental surfaces are true?
a. Pathogens can be spread by contact with contaminated surfaces.
b. Placing a resident in a room previously occupied by a C. diff positive resident increases the risk for acquiring C. diff. c. You must touch a surface for at least 3 minutes for pathogenic transfer to occur. d. Most pathogens can only survive on surfaces for a few minutes
TRUE statements regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
What are Pathogens?Pathogens can be referred to as microscopic organisms which can cause diseases and illness. They are bacteria, fungi, virus or other disease causing organisms.
These pathogens can be transmitted via environmental surfaces especially by coming in contact with contaminated surfaces. Some pathogens survive longer on surfaces, while some only survive for few minutes.
If someone is placed in a room previously occupied by an infected person, the chances of contacting that same disease is high.
Thus, the statements that are TRUE regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
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Which equation is true?
A) 3 x (5 + 1) = 3+ (5 x 1)
B) 5 x (2+8)= 10 +8
C) 8 x (2+9)= (8 x 2) + (8 x 9)
D) 4+ (2 +9)= (4 + 2) + (4 +9)
Answer:
C. 8 x (2 + 9) = (8 x 2) + (8 x 9)
Step-by-step explanation:
Let's solve to see!
Solve using PEMDAS:
Parenthesis
Exponents
Mulitplication/Division (depending on which one comes first - starting from left to right)
Addition/Subtraction (depending on which one comes first - starting from left to right)
A)
3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first
3(6) = 3 + 5 <== multiply and add
18 = 8
False
B)
5 x (2 + 8) = 10 + 8 <== parenthesis first
5(10) = 10 + 8 <== multiply and add
50 = 18
False
C)
8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first
8(11) = 16 + 72 <== multiply and add
88 = 88
True
D)
4 + (2 + 9) = (4 + 2) + (4 + 9) <== parenthesis first
4 + 11 = 6 + 13 <== add
15 = 19
False
Therefore, the correct answer is C.
Hope this helps!
Can anybody help me with any of these questions?
Answer:
I can't help sorry which grade ??
Each Handle is 1/4 the width of the handlebars. How many inches long is each Handle. Width of Handlebar is 2 ft
Answer:
1/2 feet
Step-by-step explanation:
1/4 of 2 feet is 1/2
There are 1/2 inches long is each Handle.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each Handle is 1/4 the width of the handlebars.
And, Width of Handlebar is 2 ft
Hence, Lenght of each Handle is,
⇒ 1/4 of 2
⇒ 1/4 x 2
⇒ 1/2 feet
Thus, There are 1/2 inches long is each Handle.
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A school collects money for the local shelter. If the students collect $275 in the first month, $210 in the second month, and $136 in the third month, how much do they collect altogether?
Answer:
$621
Step-by-step explanation:
To find the total amount they collected, sum the amounts collected in each month.
[tex]\begin{tabular}{c l} & 275\\+ & 210\\+ & 136\\\cline{1-2} & 621\\\cline{1-2} & ^1^1\\\end{tabular}[/tex]
How many ways can a president, vice-president, and secretary be chosen from a club with 9 members?
This type of problem is a permutation problem. Permutation is the arrangement of a set with certain order. In the problem, if there are 9 members, and 3 positions are available without repeating, we can write the expression as 9P3 - 3 non repeating positions in a set of 9 elements. By evaluating, we will have 9! / (9-3)! = 504. The answer is 504.
Which will have a negative number?
A)
(-3)(-9)
B)
(-6)(4)
C
-4 --5
D)
-7+9
Answer:
B
positive times negative equal to negative
(-6)(4) = -24
Offering 55 points to anybody that can solve this! Pls, it's due in like 30 mins!!
Answer:
Show image
Step-by-step explanation:
When reflecting on x-axis, the x-values stay the same and y-values change their signs.
When reflecting on y-axis, the x-values change signs and y-values stay the same.
Answer:
A B and C is there
Step-by-step explanation:
Id appreciate if youd give brainliest :)
Two groups of students took the same test. Their results are indicated in the dot plot below.
Which statement is true?
answers:
A. Based on visual inspection, Group B appears to have less variability in scores than Group A.
B. Because Group A has a lower minimum score than Group B, it has a lower median as well.
C. Because both distributions have a mean score of 80, they are very similar in terms of variability.
D. Based on visual inspection, Group A appears to have a higher average score than Group B.
Ratidzo bought 25,2kg of tea at $8,75 a kg.How much did she pay for the tea.
The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.
The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.
How to form equation and solve for the variable?The product of two numbers is 26.
let the two numbers be x and y.
Therefore,
xy = 26
One of the numbers is one larger than six times the other number. Therefore,
x = 1 + 6y
Hence,
xy = 26
(1 + 6y)y = 26
y + 6y² = 26
6y² + y - 26 = 0
using quadratic formula,
[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]
where
a = 6
b = 1
c = - 26
Therefore,
y = 2 or - 13 / 6
We can only use the positive value.
Hence,
2x = 26
x = 26 / 2
x = 13
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Select the correct answer.
Mary and Nikki are collecting signatures for a petition. Function m models the total number of signatures on Mary’s petition x days after they started collecting signatures. Function n models the total number of signatures on Nikki’s petition at the same time.
m(x) = 252 + 21x
n(x) = 211 + 16x
Which function correctly represents the number of signatures Mary and Nikki have gathered altogether, x days after they started collecting signatures?
A. (m + n)(x) = 41 + 37x
B. (m + n)(x) = 463 + 5x
C. (m + n)(x) = 463 + 37x
D. (m + n)(x) = 41 + 5x
Answer:
C. (m + n)(x) = 463 + 37x
Step-by-step explanation:
the smallest number that has 1, 2, 3, 4, and 5 asfactors.
Answer:
The answer is 60
Korey’s comic book store has been up and running for 4 years. korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. he would like investors to cover the cost of his expansion. the profits of korey’s comic book store for its first four years are outlined below. according to this information, what would be the best estimate for korey to quote as expected profits in the next year in his new business plan? year net profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97 please select the best answer from the choices provided a b c d
Based on his net income growth rate over the past 4 years, Korey's comic book store can quote expected profits of $19,386.97.
What is the expected profit?The expected profit is the probability of getting a profit on a certain amount.
First, we need to find the rate of growth for his income
= (4th year income - 3rd year income) / 3rd-year income
= (17,950.90 - 16,621.20) / 16,621.20
= 8%
The expected income
= 4th year income x ( 1 + growth rate)
= 17,950 x ( 1 + 8%)
= $19,386.97.
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2a x a x 3a + b x 4b
Simplify