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3 years ago

Determine the next three terms of 0,10,21,33,46,60

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Answer:

75, 91, 108

Step-by-step explanation:

Honestly I just used a pattern calculator, if you can look one up.

Please mark brainlest

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What are the integer solutions to the inequality below?<br> <img src="https://tex.z-dn.net/?f=3%5Cleq%203x-4%5C%20%20%5Ctextless

Rudik [331]

Given:

The compound inequality is:

$3\leq 3x-4$

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

$3\leq 3x-4$

Case 1: $3\leq 3x-4$

$3+4\leq 3x$

$\dfrac{7}{3}\leq x$

$2.33...\leq x$ ...(i)

Case 2: $3x-4$

$3x-2x$

$x$ ...(ii)

Using (i) and (ii), we get

$2.33...$

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.

7 0

3 years ago

What is the asymptote for the graph of this logarithmic function?<br><br> f(x) = log3(x – 1)

Pepsi [2]

Answer:

Vertical Asymptote:

$x=1$

Horizontal asymptote:

it does not exist

Step-by-step explanation:

we are given

$f(x)=log_3(x-1)$

Vertical asymptote:

we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

$x-1=0$

we get

$x=1$

Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

$\lim_{x \to \infty} f(x)= \lim_{x \to \infty}log_3(x-1)$

$\lim_{x \to \infty} f(x)=log_3(\infty-1)$

$\lim_{x \to \infty} f(x)=undefined$

so, it does not exist

7 0

3 years ago

Read 2 more answers

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

6 0

3 years ago

Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

8 0

3 years ago

First picture is just information second picture please answer I will mark brainliest

Alecsey [184]

Answer:

2329

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Determine the next three terms of 0,10,21,33,46,60​

Determine the next three terms of 0,10,21,33,46,60