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nevsk [136]
2 years ago
15

Which relationships have the same constant of proportionality between y and x as in the equation y=1/3x?

Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0
Y and X is urgent answer
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Eliza brought 3 pans of homemade fruit bars to school. Her classmates ate 7/12 of each pan. Eliza gave 1 whole pan of the leftov
-BARSIC- [3]
To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars. 
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.

And she brought 3/12 home. You can simplify that into 1/4.
3 0
2 years ago
Matthew is waterskiing. As the boat starts moving, he is at an angle of 8.0Á to the right of the boat. The boat applies 250 newt
Ilya [14]

F = 250

d = 50

\theta=8^o

workdone=Fd*cos(\theta) =250*50*cos(8^o) =12500*cos(8^o)=12378.35 joule

7 0
2 years ago
Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts
steposvetlana [31]

Answer:

C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )

Step-by-step explanation:

Given

Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)

using a trigonometrical identity

sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)

and here the condition is

the choice is in between sinax and cosax

where a > b

so we get using above equation

C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )

4 0
2 years ago
Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 per
ryzh [129]

Answer: 16.2%

Step-by-step explanation:

You can find the cost of equity using the Capital Asset Pricing Model (CAPM).

Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)

= 6% + 1.2 * (14.50 - 6%)

= 6% + 10.2%

= 16.2%

8 0
2 years ago
How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x
dmitriy555 [2]

Answer:

Only one solution.

Step-by-step explanation:

We have to solve for x from a linear single variable equation of x.

We have to determine the number of the solution of the given equation.

The equation is \frac{1}{2} (x + 12) = 4x - 1

⇒ x + 12 = 8x - 2

⇒ 7x = 14

⇒ x = 2

So, there is only one solution of the given equation of x. (Answer)

8 0
2 years ago
Read 2 more answers
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