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maks197457 [2]
3 years ago
7

Polly’s favorite cereal has 270 calories. The nutrition label on the box states that 56 of the calories come from fat. How many

calories in the cereal come from fat?
Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0
I'm going to assume that you mean 56% of the calories come from fat. So, we would have to find out 56% of 270 which is 151.2, so now we know that 151.2 calories in the cereal come from fat!
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Can someone show me how to factor this please?
Alex_Xolod [135]

Answer:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

Step-by-step explanation:

We want to solve the equation:

2\sin ^2 \theta + 3\sin \theta + 1 = 0

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

\displaystyle 2u^2 + 3u + 1 = 0

Factor:

\displaystyle (2u+1)(u+1) = 0

By the Zero Product Property:

\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0

Solve for each case:

\displaystyle u = -\frac{1}{2} \text{ or } u = -1

Back-substitute:

\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

8 0
3 years ago
A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at rando
Andreas93 [3]

Answer:

\frac{5}{8}

Step-by-step explanation:

Hi there!

We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)

Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is \frac{5}{8}.

I hope this helps!

7 0
3 years ago
Read 2 more answers
What is 3x(2-4x)<br> pls i need help
Pachacha [2.7K]

Answer:

6x−12x^2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
For f(x) = x3 – x2, which gives an output of 48?<br> O f(-8)<br> O fl-4)<br> O f(4)<br> O f(8)
Misha Larkins [42]

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48

f(4) = 4³ - 4² = 64 - 16 = 48

Thus f(4) gives an output of 48

4 0
2 years ago
Read 2 more answers
Help me pleaseeeeeee
iogann1982 [59]
You start by finding two points on the line. In this case, (-4,1) and (-2,2) will do.

To get from (-4,1) to (-2,2), you need to go “up 1, right 2” which gives you a slope of m = 1/2

Next you need the b-value, which comes from the y-intercept of (0,3). The b-value is 3.

Putting the slope and b-value into y=mx+b, you have y = 1/2 x + 3.
4 0
3 years ago
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