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finlep [7]
3 years ago
5

100 p 4/2 Exit Ticket: What is the formula for the Surface Area of a cube?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

To find a cube's surface area, use the formula: A=6a^2

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Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
Sliva [168]

Answer:

  • g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
  • A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

4 0
3 years ago
Helppppp meeeeeeeedjhrbbffnfn
zalisa [80]

Answer:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

Step-by-step explanation:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

4 0
3 years ago
The area of a rectangle is 6 + 3x square feet. Which of the following expressions could represent the lengths
Setler79 [48]

Answer:

B

Step-by-step explanation:

3(2+x)

distribute

=6+3x

8 0
3 years ago
Read 2 more answers
An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th
Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09

(2)

As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.

The <em>z</em> value for α = 0.09 is,

<em>z</em> = 1.69

(3)

Compute the 91% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

     =3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0
3 years ago
If y=1/2 when x=2, find y when x=3, given that y varies directly with x
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3 years ago
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