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velikii [3]
1 year ago
6

B=(2x+3)(4x^2-6x+9)-2(4^3-1)

Mathematics
1 answer:
nexus9112 [7]1 year ago
5 0
B = (2x+3)(4x^2-6x+9)-2(4^3-1)
B = 8x^3-99

Hope it helps : )
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Write a rational equation that relates the desired percentage to the amount of % acid solution that needs to be added to liter o
mart [117]

This question is incomplete

Complete Question

Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answer:

100(0.1 + 0.3A)= (1 + A) P

Step-by-step explanation:

A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,

Hence,

10% of 1 + 30% of A = p%(1 + A)

0.10 + 0.3A = (p/100)(1 + A)

Divide both sides by 1 + A

0.1 + 0.3A/ 1 + A = p/100

Cross Multiply

100(0.1 + 0.3A) = 1 + A(p)

From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%

10% < p< 30%

8 0
2 years ago
Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need
gogolik [260]

Hi Renee!

--------------------------------------------

We Know:

120 aluminum cans.

20 cans fit in each blue bag.

--------------------------------------------

Solution:

120 / 20 = 6

--------------------------------------------

Answer:

She will need 6 bags to carry all the aluminum cans.

--------------------------------------------

Hope This Helps :)

6 0
2 years ago
What is the median of the data values less than the median called?
ivann1987 [24]
A quartile is a type of quantile. The first quartile (Q1) is defined as the middle number between the smallest number and themedian of the data set. The second quartile (Q2) is themedian of the data. The third quartile (Q3) is the middle valuebetween the median and the highest value of the data set.
3 0
3 years ago
Read 2 more answers
(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
2 years ago
The graph of the function f(x) = (x - 3)(x + 1) is shown.
KonstantinChe [14]

Answer:

all real values of x where x < -1

Step-by-step explanation:

See attached graph.

6 0
1 year ago
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