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1 year ago

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Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to repre

sent Emily's number.

1 answer:

Ludmilka [50]1 year ago

3 0

Answer:

1/4n-3

Step-by-step explanation:

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Which shows the following expression after the negative exponents have been eliminated?

Nina [5.8K]

Answer:

its A

Step-by-step explanation:

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1 year ago

Compute i^1+i^2+i^3....i^99+i^100

fgiga [73]

Good morning ☕️

Answer:

<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>

Step-by-step explanation:

Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰

S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰

S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀

then, S is the sum of 100 consecutive terms of a geometric sequence (an)

where the first term a1 = i¹ = i and the common ratio = i

FORMULA:______________________

$S=(term1)*\frac{1-(common.ratio)^{number.of.terms}}{1-(common.ratio)}$

_______________________________

then

$S=i*\frac{1-i^{100} }{1-i}$

or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)

Hence

S = 0

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1 year ago

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

Basile [38]

Answer:

$V(t)=0.0112\pi t^{2}$

Step-by-step explanation:

we have

$V(r)=0.07\pi r^{2}$ -----> equation A

$r(t)=0.4t$ -----> equation B

To find out (V of r)(t) substitute equation B in equation A

$V(r(t))=V(t)$

$V(t)=0.07\pi (0.4t)^{2}$

$V(t)=0.07\pi (0.16)t^{2}$

$V(t)=0.0112\pi t^{2}$

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1 year ago

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a

love history [14]

Step-by-step explanation:

<u>Step 1: Convert into expressions</u>

y = one-fourth x minus 1 → $y = \frac{1}{4}x-1$

y = negative one-half x minus one-fourth → $y = -\frac{1}{2}x - \frac{1}{4}$

They intersect at $(1, -\frac{3}{4})$

Answer: Option A, (1, negative three-fourths)

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1 year ago

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The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas inter

erma4kov [3.2K]

Many statements can be true about those parabolas, so you need to include the list of choices.

This is the list of answer choices that I found for this same question:

<span>A. The second parabola opens downward.
B. The second parabola opens upward.
C. The points of intersection are on the x-axis.
D. The points of intersection are of equal distance from the y-axis.

While A, B or C may be or may not be true, D has to be true.

D. has to be true because the symetry axis of both parabolas is x = 0, so the intersection points will be necesarily to the same distance of the x-axis and the y-axis.

Answer: </span>
<span>The points of intersection are of equal distance from the y-axis. </span>

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1 year ago

Read 2 more answers