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2 years ago

10

Its worth 30 points plzzz answer

A bathtub is filling with water at a rate of 60 liters per minute. How many liters of water are in the bathtub after t minutes? Write your answer as an expression.

1 answer:

vladimir2022 [97]2 years ago

6 0

i think the answer is 60xT

or 120 liters per minutes

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What is the total amount in an account after 3 years if the interest is compounded annually on an amount of $3200 at 4%?

lorasvet [3.4K]

Answer:

$3599.57

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^t

where Accrued amount is to be determined

P = principal; $3200

r = 4% = 0.04

t = number of years = 3

Therefore

Accrued amount = 3200 (1 + 0.04)^3

= 3200 x 1.04^3

= 3200 x 1.1249

= 3599.57

The total amount after 3 years is $3599.57

8 0

2 years ago

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the

Mars2501 [29]

Answer:

No.

Step-by-step explanation:

The function is any equivalence relation in which there is only one output for every input. This means that the domain must be exhausted in order to gain all the elements of the range and each element of domain gets mapped to only one of the elements of the range. Vertical line test is used to determine whether a graph is a function or not. This test requires that vertical lines parallel to y-axis and including y-axis be drawn on the graph to see that each vertical line intersects the graph only once. This must be true for all the elements of the domain. Therefore, vertical line test requires to draw numerous vertical lines other than the y-axis since the definition of the function requires that. In short, mathematically, there will be a need for infinite number of vertical lines to perform the test. Therefore, Shayla is not applying the vertical line test correctly!!!

8 0

2 years ago

Evaluate the following limit:

Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

$\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}$

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

$\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}$

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

$\large\displaystyle\text{$\begin{gathered}\sf L = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4 }{x^{3}-5 } \end{gathered}$}\\$

$\ \ = \lim_{x \to \infty\frac{\frac{x^{4} }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} } }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}} } }$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} } }{\frac{1}{x}-\frac{5}{x^{4} } } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}$

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0

1 year ago

Write a line in slope-intercept from that goes through the point (2, 5) with a slope of 1/2

nalin [4]

Answer:

y=1/2x+5

Step-by-step explanation:

The formula is y=mx+b.

m is the slope, and b is the y-intercept.

1/2 is the slope, and 5 is the y-intercept.

y=1/2x+5.

-hope it helps

6 0

2 years ago

Read 2 more answers

I need help wt this pls do it asap

viktelen [127]

Answer:

7/4

Step-by-step explanation:

its d because 4/7 =7/4

6 0

3 years ago