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3 years ago

Between which pair of consecutive integers does square root 21 lie? 10 and 11 5 and 6 20 and 22 4 and 5

1 answer:

8 0

square root of 11. 3 & 4 2. square root of 33. 5 & 6 3. square root of 8. 2 & 3 4. cube root of 220. 6 & 7 5. cube root of -80. 4 & 5 6. fourth root of 20. 2 & 3 7. square root of 300. 17 & 18 8. fifth root of -35. 2 & 3 9. square root of 150. 12 & 13 10. cube root of -312. 6 & 7

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The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

tester [92]

<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

$\sf \: {6x}^{2} - 9x - 15 \\ \\ \leadsto \: \sf \: 3\bigg( {2x}^{2} - 3x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg( {2x}^{2} - 5x + 2x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)$

Length of the rectangle is 2x - 5

Thus,

$\leadsto \: \sf \: (2x - 5)(3x + 3)$

<h3>The breadth of the rectangle is 3x + 3 </h3>

4 0

3 years ago

5x^2 +3 = -122 a. no solution b. -5 c. +‐5 d. +- 25

Finger [1]

Answer:

I put it in the calc and it got

x=5i,−5i

6 0

3 years ago

Read 2 more answers

kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bow

Murrr4er [49]

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

<h3>How many bowls of cereal would kathy have?</h3>

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

6 0

2 years ago

Lin and Tyler are drawing circles. Tyler’s circle has twice the diameter of lins circle. Tyler thinks that his circle will have

Allushta [10]

Answer:

Step-by-step explanation:

Ratio of areas = (Ratio of diameters)²

Ratio of areas = 2² = 4

7 0

3 years ago

Read 2 more answers

A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 65, \sigma = 8.2$