Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
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].
1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly
Answer:
maybe 4
Step-by-step explanation:
Answer:
So 1/2 divided by 1/8 in simplest form is 4
Step-by-step explanation:
[tex]\frac{1}{2}/\frac{1}{8}[/tex]
You use the rule of Keep Change Flip when dividing fractions
You keep the 1/2
Change the division sign to multiply
Flip 1/8 to 8/1
[tex]\frac{1}{2} * \frac{8}{1}[/tex]
Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]
Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]
karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now
Answer:
Karl is 16 and Danny is 12
Step-by-step explanation:
Edwin and Franklin share money in the ratio 3:7 Franklin received $20 more than Edwin. Find the amount shared and what each of them received.
Step-by-step explanation:
We have,
Edwin and Franklin share money in the ratio 3:7.Franklin received $20 more than Edwin.We've to find the amount shared and what each of them received.
★ Amount Shared = Amount received by Edwin + Amount received by Franklin ★
As, Edwin and Franklin share money in the ratio 3:7. So, let's say that,
Amount received by Edwin = $ 3xAmount received by Franklin = $ 7xAlso, Franklin received $20 more than Edwin. So,
→ Amount received by Franklin = 20 + Amount received by Edwin
→ 7x = 20 + 3x
Solving the equation further.
→ 7x - 3x = 20
→ 4x = 20
→ x = 20/4
→ x = 5
Hence,
→ Amount received by Edwin = $ 3x
→ Amount received by Edwin = $ 3(5)
→ Amount received by Edwin = $ 15 [Ans]
And,
→ Amount received by Franklin = $ 7x
→ Amount received by Franklin = $ 7(5)
→ Amount received by Franklin = $ 35 [Ans]
Lastly,
→ Total amount shared = 3x + 7x
→ Total amount shared = $35 + $15
→ Total amount shared = $50 [Ans]
Hence, solved!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
Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.
The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.
Flat costs and Variable costThe total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.
Total cost = flat cost + variable cost
Determination of the equation required to solve for the gigabytes neededThe flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.
$43.60 = $37 + $3x
The gigabytes neededIn order to determine the value of x, combine similar terms together
$43.60 - $37 = $3x
6.6 = $3x
Divide both sides by 3
6.6/3 = x
x = 2.2 gigabytes
To learn more about flat costs, please check: https://brainly.com/question/25879561
Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37
Answer:
60+37x=245
Step-by-step explanation
x = 5
if a system of linear equations has infinitely many solutions
∆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.
Which of these are a multiple of 12? 2,8,16,24
Answer:
Step-by-step explanation:
24 is the multiple of 12
24 is a multiple of 12, so 24 is the correct answer of this question
help me urgent thankyouu
Answer:
The answer is B.
Step-by-step explanation:
0.0605
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
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
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.
Learn more about the complex number here:
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Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
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.
Learn more about sampling here:
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Solve each system by elimination
7x + 8y = -29
-3x -8y = 17
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
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! :)
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.
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.
Leah bought 3/4 pound of trail mix to make snack bags. She put 1/8 pound of trail mix into each snack bag. Which expression can be used to find how many snack bags Leah made? (Show work and simplify pls)
Answer:
3/4 ÷ 1/8 = 6
Step-by-step explanation:
first you would have to figure out how to make them even factors.
6/8 ÷ 1/8
Then you would divide, and get 6.
Identify if the table below shows a proportional relationship.
x
y
1
5
02
2
.
7
5
13
Proportional
Not Proportional
Answer:
i know answer i heard some were i think
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
Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.
Answer:
214.5 usd
Step-by-step explanation:
blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3
HOPE HELPED!!
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
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
Find the missing exponent
Answer:
-6
Step-by-step explanation:
Because 2×(-6) is - 12
Answer:
-24
Step-by-step explanation:
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.
Help help help help
Answer: main
Step-by-step explanation:
Answer:
yeah it's main it cuts up through oak and elm