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3 years ago

6

Is this sequence arithmetic, geometric or neither? 3.5. -4, -7.5...

1 answer:

kvasek [131]3 years ago

8 0

Answer:

Neither

Step-by-step explanation:

If the sequence was geometric, each term would be multiplied by the same multiplier to get to the next one. We can check if the multiplier is the same by taking a term and dividing it by the term before it. For example,

-4/3.5=-1.14285714

-7.5/-4=1.87500

The multiplier between the terms aren't the same so it's not geometric.

For arithmetic, the distances between each term would be the same, and we can take the same idea from the geometric sequence, but use subtraction instead of division

-4-3,5=-7.5

-7.5-(-4)=-3.5

Again, the distances aren't the same, so it's not arithmetic.

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What is the meaning of the point with an x-coordinate of 2?

Cerrena [4.2K]

Answer:

In 2 seconds, the space station travels 10 miles.

Step-by-step explanation:

Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.

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3 years ago

The number in scientific notation is written as a decimal. 5.03x10^5

DiKsa [7]

Answer:

50,300,000,000

Step-by-step explanation:

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3 years ago

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Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth

HACTEHA [7]

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

$\sf\longrightarrow 4^{( x +3)}= 7$

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

$\sf\longrightarrow log_e 4^{x+3}= log_e 7$

Simplify using the property of log , $\sf log a^m = m log a$ , we have ,

$\sf\longrightarrow (x + 3) ln 4 = ln 7$

Distribute by opening the brackets ,

$\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7$

This can be written as ,

$\sf\longrightarrow x ln 4 = ln 7 - 3ln4$

Divide both sides by ln 4 ,

$\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4}$

Simplify ,

$\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3$

On simplifying , we will get ,

$\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}$

5 0

3 years ago

I need help on this problem will give Brainlist if right!

Sindrei [870]

Answer:

b

Step-by-step explanation:

7 0

3 years ago

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to design the interior surface of a huge stainless-steel tank, you revolve the curve y=x^2 on the interval 0x4 about the y-axis.

Oksana_A [137]

Answer:

W = 21.44*10⁶J

Step-by-step explanation:

Given

y = x² (0 < x < 4)

γ = 10000 N/m³

W = ?

If we apply

y = 4² = 16 = h

y = x² ⇒ x = √y

then

V = π*(√y)²*dy = π*y*dy

W = (γ*V) *(16-y) = γ*π*y*dy*(16-y)

⇒ W = γ*π*∫y*(16-y)dy = γ*π*(8y²-(y³/3))

finally we obtain (0 < y < 16)

W = γ*π*(8y²-(y³/3)) = 10000*π*(8*16²-(16³/3)) = 21.44*10⁶J

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3 years ago