What is angle D equal??

Use the quadratic function to predict y if x equals 7. y = 2x2 – 3x + 3

zheka24 [161]

Answer:

80

Step-by-step explanation:

$f(7)=2(7)^{2} -3(7)+3$

$= 2(49)-21+3\\=98-21+3\\=80\\$

7 0

3 years ago

What does the variable represent in the equation 6-8p=38

GalinKa [24]

Solving the equation $6-8p=38$ we get value of p = -4

Step-by-step explanation:

We need to find the value of p in the equation $6-8p=38$

Solving to find value of p:

$6-8p=38\\Adding\,\,-6\,\,on\,\,both\,\,sides:\\6-8p-6=38-6\\-8p=32\\Divide\,\,both\,\,sides\,\,by\,\,-8\\\frac{-8p}{-8}=\frac{32}{-8}\\p=-4$

So, solving the equation $6-8p=38$ we get value of p = -4

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Please zoom in before you start solving because there are tricks in here. What is the answer?

blondinia [14]

45 ÷ 3 = 15
21 ÷ 3 = 7
12 ÷ 3 = 4

(4 + 15) x 7 = 133

OR if you’re using bedmas/pedmas

4 + (15 x 7) = 109

7 0

3 years ago

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun

yarga [219]

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

$\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7$

Hence, the distribution for the total amount of product has mean and standard deviation given by:

$\mu = \mu_F + \mu_R = 370 + 170 = 540$

$\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25$

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{575 - 540}{25}$

$Z = 1.4$

$Z = 1.4$ has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0

2 years ago

A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.

Evgesh-ka [11]

An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H

And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0

3 years ago