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3 years ago

Kyle mixes 45 grams of popcorn with 15 grams of powdered cheese. How much popcorn does Kylebuse per gram of cheese?

Mathematics

1 answer:

nekit [7.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

45 grams of popcorn/15 grams of cheese = 3 grams of popcorn per 1 gram of cheese

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Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

marin [14]

Answer:

C. hyperbola; $9x^2-25y^2-250y-850=0$

Step-by-step explanation:

The given conic has equation:

$9x^2-25y^2=225$

Divide through by 225.

$\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}$

$\frac{x^2}{25}-\frac{y^2}{9}=1$

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

$\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1$

Multiply through by 225.

$9(x-0)^2-25(y-5)^2=225$

Expand

$9x^2-25(y^2-10y+25)=225$

$9x^2-25y^2+250y-625=225$

Rewrite in general form;

$9x^2-25y^2+250y-625-225=0$

$9x^2-25y^2+250y-850=0$

3 0

3 years ago

What is the 2nd term when −3f3 + 9f + 6f4 − 2f2 is arranged in descending order?

Brilliant_brown [7]

For this case we have the following polynomial:

$-3f ^ 3 + 9f + 6f ^ 4 - 2f ^ 2$

To answer the question, what we must do is rewrite the polynomial in its standard form.

We have then that the polynomial will be given by:

$6f ^ 4 - 3f ^ 3 - 2f ^ 2 + 9f$

Therefore, we have the ordered polynomial in descending form of exponents.

Therefore, the second term of the polynomial is:

$- 3f ^ 3$

Answer:

The second term of the polynomial is given by:

$- 3f ^ 3$

6 0

2 years ago

What is the equation of the line that passes through (4,-1) and (-2,3)

vladimir1956 [14]

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

8 0

2 years ago

This is my last question please help

Nina [5.8K]

Answer:

Step-by-step explanation:

I hope this helps!!

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2 years ago

Suppose the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1

denis23 [38]

Given that <span>the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.

The probability of a normally distributed data between two values (a, b) is given by:

$P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma/\sqrt{n}} \right) \\ \\ =P(7.5\ \textless \ X\ \textless \ 8.5)=P\left(z\ \textless \ \frac{8.5-8.0}{1.1/\sqrt{6}} \right)-P\left(z\ \textless \ \frac{7.5-8.0}{1.1/\sqrt{6}} \right) \\ \\ =P(z\ \textless \ 1.113)-P(-1.113)=0.8672-0.1328=0.7344$ </span>

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3 years ago