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2 years ago

14

Describe in words how the value of the independent variable is related to the value of the dependent variable

2 answers:

lyudmila [28]2 years ago

8 0

Answer:

the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.

Step-by-step explanation:

Advocard [28]2 years ago

5 0

If an equation shows a relationship between x and y in which the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function<span>(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.

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If two angles are supplementary and congruent, what is the measure of each angle?

matrenka [14]

Answer:

90

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

8 0

2 years ago

Read 2 more answers

you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu

Alex Ar [27]

Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

<span>25%</span> of olive oil remains means that <span>75%</span> has been used.

22<span>12</span> quarts = 22.5 quarts used

<span><span>22.5.75</span>=<span>q.25</span></span>

Multiply both sides by .25 to isolate q.

<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>

<span><span>5.625.75</span>=q</span>

<span>7.5=<span>q</span></span>

3 0

2 years ago

Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator

rewona [7]

Answer:

$f\left(-3\right)=\frac{126}{125}$

Step-by-step explanation:

Given

$f\left(x\right)\:=\:\left(5\right)^x+1$

Putting x = -3 to find f(-3)

$f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1$

as

$5^{-3}=\frac{1}{125}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

so

$f\left(-3\right)=\frac{1}{125}+1$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}$

$f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}$

$f\left(-3\right)=\frac{126}{125}$ ∵ $1\cdot \:125+1=126$

Thus,

$f\left(-3\right)=\frac{126}{125}$

6 0

3 years ago

What is 1 and 1/10 of 19 gallons?

Alex73 [517]

1.9 is the answer. But I could be wrong though.

3 0

2 years ago

Carlos has taken an initial dose of a prescription medication.

Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

$M(t)=20 e^{-0.86t}$

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

$M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48$

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0

3 years ago