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Yanka [14]
2 years ago
10

ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together

in one bowl. *write an expression that shows the concentration of raisins in the resulting mix.
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that  by 100 giving us the final answer.

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Which is the graph of the inequality y ≥ 2x + 3
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It's B, remember when you have _ ( referring to =) you have straight line, but when it's just < or > you have dotted line
7 0
3 years ago
Find the average rate of change for the given function from x = −1 to x = 2.
Mashutka [201]

the \: average \: rate \: of \: change =  \frac{f(x2) - f(x1)}{x2 - x1}  \\  \frac{f(2) - f( - 1)}{ 2 -  - 1}  =  \\  \frac{ - 3(2) + 2 - ( - 3( - 1) + 2)}{3} =   \\  \frac{ - 6  + 2 - 3 - 2}{3}  =  \frac{ - 9}{3}  =  - 3
3 0
3 years ago
Read 2 more answers
Help images below!!!
MaRussiya [10]

Answer:80

Step-by-step explanation:

6 0
3 years ago
I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}

However, traditionally, we want only positive exponents, so this wouldn't be correct.

4 0
3 years ago
Read 2 more answers
The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the
Vaselesa [24]

Answer:

t₁  = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when  dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t)  = - 4t * ( 4*t - 11 )

h(t)  = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt  =  - 32*t  +  44

dh/dt  = 0     ⇒   -32*t  + 44 = 0

t  =  44/32     ⇒   t = 1,375 s

So twice this time

2*t   =  2 * 1.375

Total time t₁  = 2,75 sec

6 0
3 years ago
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