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3 years ago

Are these arithmetic sequences:

Mathematics

1 answer:

VladimirAG [237]3 years ago

8 0

Answer:

1. No

2. Yes

3. Yes

4. Yes

Step-by-step explanation:

In 1. the difference between each term is not constant.(it goes up by, 2, 4, 6)

2. The terms increase by the same amount(it all goes up by 3)

3. The terms decrease by the same amount(it all goes down by 5)

4. The terms increase by the same amount(it all goes up by 6)

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A cylinder has a radius of 5 and height of 3. what is the volume

Lapatulllka [165]

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = $\pi$ r²h (where r = radius and h = height)

Therefore, volume = $\pi$ x 5² x 3

= $\pi$ x 25 x 3

= 75 $\pi$

= 236 cubic units (to 3 significant figures)

8 0

2 years ago

A child wants to fill up a box with snow he can only carry the box if it weighs under 30 pounds the dimensions of the box are 30

Korolek [52]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

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3 years ago

Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the students' nets is

NISA [10]

Answer:

it was a three-dimensional figure

8 0

3 years ago

Read 2 more answers

Using the binomial theorem , obtain the expansion of :

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1 6 15 20 15 6 1

Decreasing powers of 1 from $1^{6}$ to $1^{0}$

Increasing powers of 3x from $(3x)^{0}$ to $(3x)^{6}$

$1+3x)^{6}$

= 1. $1^{6}$ $(3x)^{0}$ + 6. $1^{5}$ $(3x)^{1}$ + 15. $1^{4}$ $(3x)^{2}$ + 20. $1^{3}$ $(3x)^{3}$ + 15.1² $(3x)^{4}$ + 6. $1^{1}$ $(3x)^{5}$ + 1. $1^{0}$ $(3x)^{6}$

= 1 + 18x + 135x² + 540x³ + 1215 $x^{4}$ + 1458 $x^{5}$ + 729 $x^{6}$

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

$(1-3x)^{6}$

= 1. $1^{6}$ $(-3x)^{0}$ + 6. $1^{5}$ $(-3x)^{1}$ + 15. $1^{4}$ $(-3x)^{2}$ + 20. $1^{3}$ $(-3x)^{3}$ + 15.1² $(-3x)^{4}$ + 6. $1^{1}$ $(-3x)^{5}$ + 1. $1^{0}$ $(-3x)^{6}$