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3 years ago

13

Alicia and three friends

1 answer:

telo118 [61]3 years ago

5 0

Its gonna be D.....L (or whatever that is) < 3s + 5...because Alicia's video is LESS then 5 minutes, but ur adding 5 minutes...so the length of the video is going to be less then.

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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

n200080 [17]

Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25

General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0

Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0

4 0

3 years ago

Convert the following angle from degrees to radians. Express your answer in simplest form.

NeX [460]

Answer:

3.40 rad

Step-by-step explanation:

8 0

2 years ago

What is the cube root of 27a^12

tino4ka555 [31]

ANSWER

$3{a}^{4 }$

EXPLANATION

The cube root of

$27 {a}^{12}$

is

$\sqrt[3]{27 {a}^{12} }$

This is the same as:

$(27 {a}^{12} )^{ \frac{1}{3} }$

$( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} }$

$= (3{a}^{4} )^{3 \times \frac{1}{3} }$

$= 3{a}^{4 }$

6 0

3 years ago

#5 Antonio and Abby had the same nimber of paperclips. After Antonio gave 30 paperclips to Abby, Abby had twice as many papercli

Kay [80]

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, $x$ .

<h3>#5</h3>

Let $x$ the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

Antonio: $x$ paperclips;
Abby: $x$ paperclips.

Antonio gives $30$ paperclips to Abby. After that,

Antonio: $(x - 30)$ paperclips;
Abby: $x + 30$ paperclips.

Abby now possess twice as many paperclips as Antonio does. In other words,

$2(x - 30) = x + 30$ .

By the distributive property:

$2x - 60 = x + 30$ .

Substract $x - 60$ from both sides

$x = 30 - (-60) = 90$ .

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

<h3>#6</h3>

Similarly, let $x$ be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

Emily: $x$ stamps;
Jasmine: $x$ stamps.

After Emily gives $42$ stamps to Jasmine:

Emily: $x-42$ stamps;
Jasmine: $x+42$ stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

$2(x-42) = x+42$ .

$x = 42 + 2\times 42 = 126$ .

Jasmine used to possess 126 stamps. Now she possesses $126 + 42 = 168$ stamps after receiving $42$ stamps from Emily.

<h3>#7</h3>

Let the number of pencils that Elena needs to give to Lucy be $x$ .

Initially:

Elena: 60 pencils;
Lucy: 26 pencils.

After Elena gives $x$ pencils to Lucy:

Elena: $60 - x$ pencils;
Lucy: $26 + x$ pencils.

Elena should now possess four more pencils than Lucy does. In other words,

$\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4$ .

$2x = 30$ .

$x = 15$ .

8 0

2 years ago

Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The the monthl

Zina [86]

Answer: Money

Step-by-step explanation:

5 0

2 years ago