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2 years ago

14

A cooler contains eleven bottles of sports drink: four lemon lime flavored and seven orange flavoured. You randomly grab a bottl

e and give it to a friend. Then, you randomly grab a bottle for yourself. Your friends gets lemon lime and you get an orange.
Is it dependent or independent?

1 answer:

amid [387]2 years ago

6 0

Its a dependent variable.
in independent variable is something being changed in an experiment to test the effects on the dependent variable. the dependent variable is what is being tested.

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What is the answer to this problem (x+3)(x+5)

klasskru [66]

Easy, showing work,

using the method FOIL (First,Outer,Inner, Last)

Take, (x+3)(x+5) and multiply,

First,

x*x= $x^{2}$

Outer,

x*5=5x

Inner,

3*x=3x

Last,

3*5=15

Add the terms together,

$x^{2}$ +8x+15 ( $x^{2}$ +5x+3x+15)

Thus, your answer.

4 0

2 years ago

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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

2 years ago

you are to give a client one tablet labeled 0.15 mg and one labeled 0.025 mg. what is the total dosage of these two tablets

Ivenika [448]

Simply add the two dosages together, (0.15+0.025) and the answer is 0.175 :)

7 0

2 years ago

Help me please i jave 10 min left HELP

yaroslaw [1]

Answer:

Option (A).

Step-by-step explanation:

$8\frac{4}{5}$ is a mixed fraction and can be written as,

$8\frac{4}{5}=8+\frac{4}{5}$ [Combination of a whole number and a fraction]

When we multiply this mixed fraction by 7,

$7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})$

$=(7\times 8)+(7\times \frac{4}{5})$ [Distributive property → a(b + c) = a×b + a×c]

$=56+\frac{28}{5}$

$=56+5\frac{3}{5}$

$=56+5+\frac{3}{5}$

$=61+\frac{3}{5}$

$=61\frac{3}{5}$

Therefore, $7\times 8\frac{4}{5}=61\frac{3}{5}$ will be the answer.

Option (A) will be the correct option.

7 0

2 years ago

Help Please I did to finsh

ki77a [65]

Step-by-step explanation:

Hello there!

Again, plug this into the Pythagorean Theorem.

$a^2+b^2=c^2\\2^2+b^2=6^2\\4+b^2=36\\b^2=32\\b=5.65$

:)

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2 years ago

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