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2 years ago

Estimate the Value Of Each Expression to the nearest integer .

Mathematics

1 answer:

omeli [17]2 years ago

5 0

Answer:

see below

Step-by-step explanation:

14. We can represent 1 as √1 and 2 as √4 and because 1 < 3 < 4, we know that √3 is in between 1 and 2. However, 3 is closer to 4 than it is to 1 so √3 is about 2.

15. Again, 3 is √9 and 4 is √16. 9 < 10 < 16 so √10 is in between 3 and 4, however, since 10 is closer to 9 as it is to 16, we know that √10 is about 3.

16. -4 = -√16 and -5 = -√25, since 16 < 22 < 25, we know that -√22 is in between -4 and -5 but 22 is closer to 25 so the answer is -5.

17. -10 = -√100 and -11 = -√121 so -√120 is in between -10 and -11. Since 120 is closer to 121, the answer is -11.

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A gaming system is regularly priced at $175. It is on sale this week for $140. By what percentage was the prices of the gaming s

Anika [276]

Answer:

20%

Step-by-step explanation:

6 0

2 years ago

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kumpel [21]

$~~~~~~~~y = \dfrac{\sqrt{3x}}{ 1+ e^{2x}}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( \dfrac{\sqrt{3x}}{1+ e^{2x}} \right)\\\\\\~~~~~~~~~~~~=\dfrac{(1 + e^{2x} ) \dfrac{d}{dx} \left(\sqrt{3x} \right) - \left(\sqrt{3x} \right)\dfrac{d}{dx}(1+e^{2x})}{\left( 1+ e^{2x} \right)^2}~~~~~~~~~~~~;[\text{Quotient rule}]\\\\\\~~~~~~~~~~~~=\dfrac{(1+e^{2x}) \cdot \dfrac{1}{2\sqrt{3x}} \cdot 3-\left(\sqrt{3x} \right) \cdot 2 e^{2x}}{(1 + e^{2x})^2}~~~~~~~~~~~~~~~~~~~~;[\text{Chain rule}]\\\\\\$

$=\dfrac{\dfrac{\sqrt 3 (1 + e^{2x})}{2\sqrt x} -2e^{2x} \sqrt{3x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\tfrac{\sqrt 3(1 +e^{2x}) - 4x\sqrt 3 e^{2x}}{2\sqrt x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\sqrt 3(1+e^{2x} -4xe^{2x})}{2\sqrt x(1 +e^{2x})^2}$

7 0

1 year ago

At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let a be the number of

joja [24]

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be a

let the total price be y

given that children tickets are $6 each

also, an adult ticket is $10

x+a=14-------1

y=6x+10a----2

Therefore the expression for the total price can be expressed as

3 0

3 years ago

If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of

Fantom [35]

Answer:

Standard deviation = 11.30 m/h

Mean = 57.74 m/h

Step-by-step explanation:

Assume that the travel speed is normally distributed.

The corresponding z-score to the 5th and 90th percentile of normal distribution are, respectively, -1.645 and 1.282.

For any given speed X, the z-score is:

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

If z = -1.645 for X = 39.15 and z= 1.282 for X=72.23, the following system can be solved for the mean and standard deviation of vehicle speed:

$-1.645= \frac{39.15-\mu}{\sigma}\\1.282= \frac{72.23-\mu}{\sigma}\\\\-1.645 -1.282 = \frac{39.15-72.23}{\sigma} \\\sigma=11.30\ m/h\\\mu =72.23-(1.282*\sigma)\\\mu=57.74\ m/h$

The standard deviation is 11.30 m/h and the mean is 57.74 m/h.

3 0

3 years ago

Lou's shoe was 9.178 inches long, Helen's shoe was 7.093 inches long, Jay's shoe was 10.554 inches long and Craig's shoe was 4.1

Radda [10]

Answer:

38.03 in

Step-by-step explanation:

Step 1: Calculate Craig's shoe length.

It's 4.112 in longer than Helen's shoe, which is 7.093 in. So, we simply add those two numbers to get 11.205.

Step 2: Add up all of the numbers

Now that we have everyone's shoe lengths, we just add them all up to get 38.03 in.

Hope this helps!

6 0

2 years ago

Read 2 more answers