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3 years ago

The average sunflower has 34 petals.What is the best estimate of the total number of petals on 57 sunflowers.

1 answer:

7 0

If the average sunflower has 34 petals, to best estimate the total number of petals on 57 flowers, we can multiply the average number of petals on each flower, 34, by the total number of flowers we have to find the petals for, 57.

Doing 34 * 57 gives us 1938, so the best estimate of the total number of petals on 57 sunflowers is 1938.

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Consider the circle with a radius of 30 cm. What is the approximate circumference of the circle? (use 3.14 as an approximation o

Goshia [24]

Answer: 188.4 cm

Step-by-step explanation:

Given

the radius of the circle is $r=30\ cm$

Also, circumference is given by $P=2\pi r$

Putting values

$\Rightarrow P=2\times 3.14 \times 30=188.4\ cm$

The circumference of the circle is $188.4\ cm$

8 0

3 years ago

The expression (m^2/m^1/3)^1/2 is equivalent to

Luda [366]

(m^2/m^1/3)^1/2
m^5/6

7 0

3 years ago

For the function g(x)=3-8(1/4)^2-x

Reika [66]

Using function concepts, it is found that:

a) The y-intercept is y = 2.5.

b) The horizontal asymptote is x = 3.

c) The function is decreasing.

d) The domain is $(-\infty,\infty)$ and the range is $(-\infty,3)$ .
e) The graph is given at the end of the answer.

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

The given function is:

$g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}$

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

Question a:

The y-intercept is g(0), thus:

$g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5$

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3$

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

$\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty$

Thus, the horizontal asymptote is x = 3.

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

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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

Question d:

Exponential function has no restrictions in the domain, so it is all real values, that is $(-\infty,\infty)$ .
From the limits in item c, the range is: $(-\infty,3)$

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

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0

3 years ago

Write a paragraph proof.

Ivenika [448]

RS Bisects QT means, it cuts QT in two equal halves, so QP would be equal to PT, as it is an isosceles triangle, one other side would be equal as well, so RP is equal to PS, Now, by ASA, we conclude the both mentioned triangles in the figure are congruent.

Hope this helps!

6 0

3 years ago

I need help please, & I don’t know the answer. Thx

Elenna [48]

The train Chug-a-Lug must be going 153.5 miles to match the same speed as Old Steamy so they can arrive at the station at the same time.

7 0

4 years ago