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3 years ago

11

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

2 answers:

lbvjy [14]3 years ago

6 0

The correct answer is d

shtirl [24]3 years ago

3 0

The answer to your question is letter “D”

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A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1

Pavel [41]

Answer:

<h2>1:1</h2>

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

5 0

3 years ago

A circle has a radius of 4m . find the length s of the arc intercepted by a central angle of 77° . do not round any intermediate

Hoochie [10]

$s= \pi r ( \frac{C}{180} ) \ \ \ \ [C= central \ angle, \ r=radius, \pi =3.14] \\ \\ s=3.14*4* \frac{77}{180}= 3.14* \frac{77}{45} \approx 5.4 \ m
$

8 0

3 years ago

A bacterial culture grows exponentially according to the function n(t)=n(e^n), where n(t) is the quantity after t hours and n is

mart [117]

Answer:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

Step-by-step explanation:

For this case we have the followin exponential model:

$n(t) = n e^{rt}$

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.

For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?

From the initial condition we know that n = 2, and we have the model like this:

$n(t) = 2 e^{rt}$

Now if we apply the other conditionn(3) = 128 we got:

$128 = 2 e^{3r}$

If we divide both sides by 2 we got:

$64= e^{3r}$

If we apply natural log for both sides we got:

$ln(64) = 3r$

$r = \frac{ln(64)}{3}=1.386294361$

And our model is this one:

$n(t) = 2 e^{1.386294361t}$

And if we replace t = 2 hours we got:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

5 0

2 years ago

grandymaker [24]

Answer:

$\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1$

Step-by-step explanation:

An ellipse centered a point (h,k) has the following formula:

$\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1$

The distance between foci is:

$2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}$

$2\cdot c = 16$

$c = 8$

The center of the ellipse is:

$C(x,y) = (-8 + 8, 0 + 0)$

$C(x,y) = (0,0)$

The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:

$a = \sqrt{(12-0)^{2}+(0-0)^{2}}$

$a= 12$

The length of the semi-minor axis is given by the following expression:

$c =\sqrt{a^{2}-b^{2}}$

$b = \sqrt{a^{2}-c^{2}}$

$b = \sqrt{12^{2}-8^{2}}$

$b \approx 8.944$

The equation of the ellipse is:

$\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1$

5 0

3 years ago

Round 0.885 to the nearest hundredths.

andrew-mc [135]

0.885 rounded to the nearest hundreds would be 0.89

5 0

2 years ago