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4 years ago

I need help in Adv. Math

Mathematics

1 answer:

crimeas [40]4 years ago

7 0

Answer:

The answer to your question is: letter B

Step-by-step explanation:

Data

°C °F

0 32

35 95

Process

Find slope m = (95 - 32) / ( 35 - 0)

m = 63 / 35

m = 9/5

Line equation

( y - y1) = m(x - x1)

y = °C x = °F

°C - 0 = 9/5 ( °F - 32)

°C = 9/5( °F - 32)

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What are the partial products of 4.6 x 3.5?

Studentka2010 [4]

The partial products are 210 and 1350 in decimal it's 21.0 and 135.0.

Hope that heled:)

5 0

3 years ago

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How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

Liula [17]

Oh yay, proportional thinking! (Vicious sarcasm). Alright, let's do this:

Volume of the cylinder = π(h)r^2
New volume = π(h/3)(4r)^2
= (1/3)π(h)(16r^2)
=16*(1/3)π(h)r^2
=(16/3)π(h)r^2

Therefore, it's D. Though it's spelled pi, and you should really use the ^ symbol.

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3 years ago

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The manufacturer of a certain type of new cell phone battery claims that the average life span of the batteries is 500 charges;

maxonik [38]

Answer:

a. 0

b. Yes

c. The manufacturers claim is not plausible

d. 0.3446

e. A sample mean life time of 39.8hr is not unusually short.

f. The manufacturers claim us plausible

Step-by-step explanation:

Please see attachment

8 0

4 years ago

Which of the following is the slope intercept form of the equation of this line

love history [14]

Answer:

The slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

(1, -1)

(-1, 1)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)$

$m=\frac{1-\left(-1\right)}{-1-1}$

$m=-1$

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

m=slope

b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

$y=mx+b$

$y=(-1)x+0$

$y=-x$

Thus, the slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.

3 0

3 years ago

Find the sum of the geometric series 512+256+...+4 a) 510 b) 1,022 c) 1,020 d) 1,016

zzz [600]

Answer:

Option C. 1020

Step-by-step explanation:

From the question given above,

512 + 256 +... + 4 =?

We'll begin by calculating the number of terms in the sequence. This can be obtained as follow:

First term (a) = 512

Common ratio (r) = 2nd term / 1st term

Common ratio (r) = 256 /512

Common ratio (r) = 1/2

Last term (L) = 4

Number of term (n) =?

Tₙ = arⁿ¯¹

L = arⁿ¯¹

4 = 512 × (1/2)ⁿ¯¹

Divide both side by 512

4 / 512 = (1/2)ⁿ¯¹

1/128 = (1/2)ⁿ¯¹

Express 128 in index form with 2 as the base

1/2⁷ = (1/2)ⁿ¯¹

(1/2)⁷ = (1/2)ⁿ¯¹

Cancel 1/2 from both side

7 = n – 1

Collect like terms

7 + 1 = n

n = 8

Thus, the number of terms is 8

Finally, we shall determine the sum of the series as follow:

First term (a) = 512

Common ratio (r) = 1/2

Number of term (n) = 8

Sum of 8th term (S₈) = ?

Sₙ = a[1 – rⁿ] / 1 – r

S₈ = 512 [1 – (½)⁸] / 1 – ½

S₈ = 512 [1 – 1/256] ÷ ½

S₈ = 512 [255/256] × 2

S₈ = 2 × 255 × 2

S₈ = 1020

Thus, the sum of the series is 1020.

5 0

3 years ago