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4 years ago

Write 4.625 as a mixed number in simplest form

1 answer:

4 0

First, change the decimal to a fraction by putting it over 1000:
$4 \frac{625}{1000}$

Now find a common denominator of 625 and 1000. The simplest to find and divide by is 5. So begin by dividing them each by five until you have a completely simplified fraction:
$4 \frac{625}{1000} \\ \\ 4 \frac{125}{200} \\ \\ 4 \frac{25}{40} \\ \\ 4 \frac{5}{8}$

The answer is $4 \frac{5}{8}$

~Drew :D
(I hope that made sense. lol)

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Question 8 (5 points) Saved

Mashutka [201]

False

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable..

6 0

3 years ago

If the quadratic formula is used to find

Anuta_ua [19.1K]

The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

<h3>What is defined as the quadratic formula?</h3>

A quadratic equation is just a polynomial with a second degree first term.
There are several methods for determining the roots, or solutions, of such a quadratic equation.
Every quadratic equation has two solutions, that might or might not be real numbers.
The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number

If the quadratic equation is ax² + bx + c = 0.

Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.

The quadratic equation is given as; 2x² - 5x - 12 = 0.

On comparing with the standard form;

a = 2
b = -5
c = -12

Put the values in the formula,

x = [-b ± √(b² - 4ac)]/2a.

x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2

On simplification,

x = [5 ± 11]/4

There will be two roots of equation,

a; x = [5 + 11]/4

x = 16/4 = 4

b ; x = [5 - 11]/4

x = 6/4 = 1.5

Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

To know more about the quadratic formula, here

brainly.com/question/1214333

#SPJ13

5 0

1 year ago

What is the surface area of the prism

ryzh [129]

The answer is B)190.08 cm2
(12×6)+(12×4.8)+(12×3.6)+((3.6×4.8)/2)+((3.6×4.8)/2)

3 0

4 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

4 years ago

Identify the slope and the intercept for the following inequality -2×-y

sergij07 [2.7K]

$\Huge{\textbf{\textsf{{\color{navy}{ᴀɴ}}{\purple{ᴡs}}{\pink{ᴇʀ}}{\color{pink}{:}}}}}$

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

6 0

3 years ago