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3 years ago

Can someone explain how come the circled one is equal to zero but the other one is 6? I don't understand how they got that.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Answer:

The circled one has limit n tends to infinity on 3/n.

As 3 is a constant,it can come out of limit and the limit operates on 1/n.

Putting infinity in place of n,it becomes 1/(infinity),which is equal to 0.

Now,as for the other one,6 is a constant and limit on any constant gives the constant as it is.

So, it gives 6 .

Paha777 [63]3 years ago

3 0

Step-by-step explanation:

As n becomes very large, 3/n becomes very small. As n approaches infinity, 3/n approaches 0.

For limits of fractions:

If the power of the numerator (in this case, n⁰) is less than the power of the denominator (in this case, n¹), the limit as n approaches infinity is 0.

If the powers are equal, the limit as n approaches infinity is the ratio of the leading coefficients.

And if the power of the numerator is greater than the power of the denominator, the limit as n approaches infinity is infinity.

For the second limit, as n becomes very large, 6 is still 6. So as n approaches infinity, 6 approaches 6.

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Grace wants to frame a square picture which has a area of

Deffense [45]

Answer:

First Picture: Length = 30.82in

Second Picture: Length = 34.64in

Step-by-step explanation:

Given

Picture 1:

Area = 950in²

Picture 2:

Area = 1200in²

Required

Determine the length of each pictures

From the question, we understand that both pictures are square in shape and the area is calculated as thus:

Area = Length²

For the first picture, substitute 950 for Area

This gives:

950 = Length²

Length ² = 950

Take square root of both sides

Length = √950

Length = 30.8220700148448822

Length = 30.82 (approximated)

Hence, the length of the first picture is 30.82in

For the second picture, substitute 1200 for Area

This gives:

1200 = Length²

Length² = 1200

Take square root of both sides

Length = √1200

Length = 34.6410161513775458

Length = 34.64 (approximated)

Hence, the length of the second picture is 34.64in

4 0

3 years ago

HELPP. Write the following as an algebraic expression. The sum of a and a quarter of b.

Fynjy0 [20]

Answer: $a + \frac{1}{4}b$

This is the same as $a + \frac{b}{4}$

All we're doing is adding 'a' and $\frac{1}{4}b$ since the term "sum" is the result of adding two or more numbers.

One quarter of a number is the same as dividing by 4.

Example: one quarter of 28 = $\frac{1}{4}*28 = \frac{28}{4} = 7$

4 0

4 years ago

The relation of this set of points is a function. True or false.

JulsSmile [24]

Just graph it... Firstly though, do you know what a function is?
Google linear function, parabolic function, exponential function etc. to get familiar with what a function looks like.

Firstly, no function that I know has
(4, 5) and (4, -4) where there are two y coordinates for 1 x coordinate.
It is not linear, parabolic, or exponential, it could be some other type of function. But assuming you're in high school i'd say its safe to bet the answer is FALSE.

4 0

3 years ago

Write the equation of the circle with center (3,2) and with (9,3) being a point on the circle

miss Akunina [59]

Answer:

$(x-3)^2 + (y-2)^2 = 37$

Step-by-step explanation:

To write the equation of a circle, use the formula $(x-h)^2+(y-k)^2 = r^2$ where the center of the circle is (h, k).

This means the equation is $(x-3)^2 + (y-2)^2 = r^2$ .

Find the radius r by finding the distance between (3,2) and (9,3) using the distance formula.

$d = \sqrt{(9-3)^2 + (3-2)^2} =\sqrt{6^2 + 1^2} =\sqrt{36+1} =\sqrt{37}$

Since the radius is √37 and therefore $r^2 = 37$ .

The equation is $(x-3)^2 + (y-2)^2 = 37$ .

6 0

3 years ago

At the bake sale there were 40 raisin cookies sold. If ratio of raisin cookies sold to oatmeal cookies sold was 5:1 what is the

Annette [7]

Answer:

48 cookies were sold in total.

Step-by-step explanation:

5:1 is the ratio of raisin cookies to oatmeal cookies, and 40 raisin cookies were sold. Meaning, 40:?.

To find the number of oatmeal cookies you divide 40 by 5, which gets 8. This means that the original ratio is multiplied by 8 to get the current ratio for the amount if cookies. 5(8) : 1(8) = 40:8. There are 40 raisin cookies and 8 oatmeal cookies. 40+8=48. There were 48 cookies sold in total.

6 0

4 years ago