Answer: Cheryl earns $6.20 more per hour.
Step-by-step explanation:
$/hr OT $/hr OT
18 1.5 27
16.6 2 33.2
Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime). She earns $6.20 more per hour. [How's it feel, Colby?].
Cheryl earns more from overtime than Colby by $6.2 per hour.
Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl = 16.60 * 2= $33.20
So,
33.20 > 27
Implies
Their overtime earnings
of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.
Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.
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5. Which pair of trig functions are equivalent?
(20 Points)
sin 23. sin 67
cos 41. sin 41
cos 58, sin 122
cos 76, sin 14
WILL MAKE BRAINLIEST IF CORRECT <3
Answer: cos(76°) ---> sin(14°)
fill in the blank. what number is next 17,255,3825
The length of a planet's orbit around a star is approximately 22,200,000 km. It takes the planet about 1230 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf?
Answer:
Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.
Step-by-step explanation:
The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:
[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].
Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:
[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].
Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:
[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].
If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].
Please answer my question
Answer:
180 667 777 98827
Step-by-step
the graaph has three differnt lines that connet
Which number represents a square root of 3 [cos(pi/2) + i sin (pi/2)]?
===========================================================
Explanation:
We use De Moivre's Theorem. It says that if you started with
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
then raising both sides to the nth power leads to
[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]
The term out front r is raised to the nth power. We also have copies of n inside the trig functions.
The square root operation undoes the squaring operation, so we'll be dealing with n = 2.
If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.
[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]
Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.
The complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number in the trigonometric form:
Z = √(3[cosπ/2 + i sinπ/2])
It is required to find the square root of the complex number.
To find the square root of the complex number we can use the De Moivre's theorem:
If
Z = r[cosθ + i sinθ]
Zⁿ = rⁿ[cosnθ + i sinnθ]
Using the above theorem:
Z = √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]
Z = √3[cosπ/4 + i sinπ/4]
Thus, the complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
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Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answer:
Step-by-step explanation
c
Someone help me pls!
You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40
How much will you save per apple if you buy them at the cheaper store?
Answer:
$0.09 or 9 cents
Step-by-step explanation:
1.17/3=0.39
2.4/5=0.48
0.48-0.39=0.09
Answer:
Well you can divide them by each
1.17/3 which is 0.39 (quick mart)
2.4/5 Which is 0.48 (stop and save)
39 cent is what you pay at the cheaper store
9 cents is what you would save
-also you go to bay academy?
I haven’t seen Jupiter ed in so long hahah
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.
f(x)=
Answer:
f(x) = x³ - 6x² + 5x + 12Step-by-step explanation:
Given polynomial function f(x) with:
a = 1, r₁ = 4, r₂ = 3, r₃ = -1With the least degree it is:
f(x) = 1*(x - 4)(x - 3)(x - (-1)) = (x² - 7x + 12)(x + 1) = x³ - 6x² + 5x + 12I need to know the answer to 2 1/3 x 4/5
Answer:
Simplify the expression.
Exact Form:
28/15
Decimal Form:
1.8¯6
Mixed Number Form:
1 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 2 1/3 to improper fraction
[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]
the diagonal of a cube is root 12. What is the edge?
Step-by-step explanation:
Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm
Factorise this expression as fully as possible 12x - 9x?
Answer:
4x
Step-by-step explanation:
12x-9x
=4x
I hope my answer is correct
and if u like mark me as brainliest answer.
Answer:
12x - 9x
= 3x ( 4- 3)
= 3x ( 1)
= 3x
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?
Answer:
12 shirts
Step-by-step explanation:
I used the method keep, change, flip (KCF) to divide fractions and solve this problem.
This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.
so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.
that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts
Which statement can you use to conclude that a relationship must be non-proportional?
The graph of the relationship is linear.
The graph of the relationship is linear.
The equation of the relationship is in the form y = kx
The equation of the relationship is in the form, y = kx
The relationship has a constant rate of change.
The relationship has a constant rate of change.
The y-intercept of the graph of the relationship is ( 0, 1).
9514 1404 393
Answer:
(d) The y-intercept of the graph of the relationship is ( 0, 1).
Step-by-step explanation:
The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.
what divided by 13 is 4
Answer:
52Step-by-step explanation:
what divided by 13 is 4
4 * 13 = 52
----------------------------
check
52 : 13 = 4
the answer is good
Answer:
52
Step-by-step explanation:
∆ABC has the vertices A(0,0) B(3,3) C(-3,3). Classify the triangle by its sides. Then determine whether it is a right triangle.
7 less than 6 times a number is equal to 9 more than 4 times a number. What is the number?
Answer:
Write an equation the represents the words.
6x - 7 = 4x + 9
To solve for x (the number), isolate it from the other variables.
Subtract 9 from both sides.
6x - 7 - 9 = 4x
Combine like terms.
6x - 16 = 4x
Subtract 6x from both sides.
-16 = 4x - 6x
Combine like terms.
-16 = -2x
Divide both sides by -2.
-16/-2 = x
x = 8
The number is 8.
Hope this helps! :)
Answer:
The number is 8.
Step-by-step explanation:
Hello there!
We're given an unknown number, let's call this number n
We know that 7 less than 6 times n is equal to 9 more than 4 times n
Let's break that statement down, starting with "7 less than 6 times n"
6 times n should be 6n, since 6 * n = 6n
"7 less" means subtraction.
So "7 less than 6n" should be 6n-7
Now with "9 more than 4 times n"
4 times n should be 4n, as 4 * n = 4n
"9 more" means addition
So "9 more than 4n" should be 4n+9
The statement says that 6n-7 is equal to 4n + 9, and so when we write it as an equation:
6n - 7 = 4n + 9
Now we can solve the equation
Subtract 4n from both sides
2n - 7 = 9
Add 7 to both sides
2n = 16
Divide both sides by n
n=8
The number is 8
PS. we can substitute 8 back into the equation as n to see if it works:
6(8)-7=4(8)+9
Multiply
48-7=32+9
41= 32 + 9
41=41
It works :))
Hope this helps!
evaluate -4(5-(36÷4))
Answer:
16
Step-by-step explanation:
- 4 ( 5 - ( 36 ÷ 4 ) )
= - 4 ( 5 - 9 )
= - 4 ( - 4 )
= - 4 * - 4
= 16
A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.
Answer:
355 ounces
Step-by-step explanation:
Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:
[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]
"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.
[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]
[tex]\frac{352oz}{1} + 3 = x[/tex]
[tex]352+3 = x[/tex]
[tex]x=355[/tex]
So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)
I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.
Answer:
-5 + -8 = -13
Step-by-step explanation:
-5 + -8 = -13
in total you owe $13 but seperat it’s $5 and $8.
also you show a debt with Integers by using negative numbers.
easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!
Answer:
a = 9.6 b = 11.2
Step-by-step explanation:
10 percent of 8 is .8
8 + (8 x .1) = 8.8
8.8 + .8 = 9.6
She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6
When you do 8+1.6 it equals 9.6
For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2
8+3.2 = 11.2
She will be paid 11.2 dollars after 2 full years of working.
Your answer isnt wrong, I dont know why your teacher is saying it is.
What is the measure of < A B C ?
143.25 °
is the correct answer.
please mark my answer as brainest and follow me to get the answer faster.
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
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if a system of linear equations has infinitely many solutions
plss help ill give brainlest
Help help help help
Answer: main
Step-by-step explanation:
Answer:
yeah it's main it cuts up through oak and elm
Find the missing exponent
Answer:
-6
Step-by-step explanation:
Because 2×(-6) is - 12
Answer:
-24
Step-by-step explanation:
percent of change original:8 new :12
Answer:
?????????
Step-by-step explanation:
What are u asking
HELP IM LATE LOL In an aquarium, ⅖ of the fish are surgeonfish. Of these, ¾ are yellow tangs. What portion of all fish in the aquarium are yellow tangs?
Answer:
1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.
Step-by-step explanation:
2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.
To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.
8/20 + 15/20 = 23/20 or 1 3/20
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again