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3 years ago

Find the 10th term of the sequence if the explicit function/formula is f(n)=100+10n

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

The 10th term of the sequence is 200.

Step-by-step explanation:

Given that,

The sequence is as follows :

f(n)=100+10n

We need to find 10th term of the sequence.

Put n = 10 in the given expression.

f(10)=100+10(10)

= 100 + 100

= 200

Hence, the 10th term of the sequence is 200.

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Questions 33-36 I don’t know how to find the answer and I need help on how I can find the answer

bulgar [2K]

The answer is 90, 25, 155, 115 respectively

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3 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

3 years ago

A sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function. The sample began with 7 b

tatiyna

Answer:

125

Step-by-step explanation:

x(t) = x0 × (1 + r) t

where:

x(t) = the amount of some quantity at time t

x0 = initial amount at time t = 22

r = the growth rate

t = time

3 0

3 years ago

I can’t figure out what the half circle means the answer options are 163,129,149 and 186

vodka [1.7K]

Answer: 129

Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)

Area=3.14(5)²

=3.14(25)

=78.5

But since this is just a half circle, divide this by 2

That will get 39.25

Then add this to the area of the rectangle (L*W) which is 90

That will get about 129

4 0

3 years ago

Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7

Flura [38]

Answer:

A = 16010.32

Step-by-step explanation:

Given that,

$A=P(1+\dfrac{r}{k})^n$

Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.

$A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32$

So, the value of A is 16010.32. Hence, the correct option is (B).

4 0

3 years ago