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3 years ago

What is the area of a 14 centimeter long and 10 centimeters wide in square meters

Mathematics

2 answers:

JulsSmile [24]3 years ago

6 0

Step-by-step explanation:

Area = length × width

= 14 × 10

= 140cm^2

marusya05 [52]3 years ago

5 0

Answer:

0.014 m^2

Step-by-step explanation:

Since the figure has a length and width, I assume it's a rectangle.

area = length * width

area = 14 cm * 10 cm

area = 140 cm^2

Now we convert to square meters.

area = 140 cm^2 * (1 m)/(100 cm) * (1 m)/(100 cm) = 0.014 m^2

Answer: 0.014 m^2

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The graph is shown for the equation y = –x + 4.

ivann1987 [24]

Answer:

Option C. $y=-\frac{1}{2}(2x-8)$

Step-by-step explanation:

we know that

If a system of two linear equations has an infinite number of solutions, then both equations must be identical

The given equation is

$y=-x+4$

Verify each case

Option A. we have

$y=-4(x+1)$

apply distributive property

$y=-4x-4$

Compare with the given equation

$-x+4 \neq -4x-4$

Option B. we have

$y=-(x+4)$

remove the parenthesis

$y=-x-4$

Compare with the given equation

$-x+4 \neq -x-4$

Option C. we have

$y=-\frac{1}{2}(2x-8)$

apply distributive property

$y=-x+4$

Compare with the given equation

$-x+4=-x+4$

therefore

This equation with the given equation form a system that has an infinite number of solutions

Option D. we have

$y=x+4$

Compare with the given equation

$-x+4 \neq x+4$

7 0

3 years ago

Type the correct answer in the box. Round your answer to two decimal places.

svp [43]

Angle TRQ is 23 degrees and the length from S to R is 3.3 units.

I need help on this too

3 0

3 years ago

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3x + y = -21 x+y=-5 solving systems of equations by substitution

katen-ka-za [31]

First : x=-5-y and then put x in the phrase above

7 0

3 years ago

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

3 years ago

Find an equation of the tangent line to the graph of

lakkis [162]

Answer:

y + 4 = -3 (x - 5)

In other words,

y = -3 x + 11

Step-by-step explanation:

The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.

The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).

Apply the slope-point form of the line. The equation for a line with slope m that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,

m = 3,
a = 5, and
b = -4.

What will be the equation of this line?

6 0

3 years ago

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