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mamaluj [8]
3 years ago
15

What is 16/20 simplified

Mathematics
2 answers:
alukav5142 [94]3 years ago
6 0
16/20 is 4/5 simplified all you have to do is dived by 4.
Digiron [165]3 years ago
3 0
<u>4/5</u>, you divide both by 4 and you get <u>4/5</u>
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Explain how to round 14 5/6 to the nearest whole number, using the number line as a tool. Use complete sentences in your answer.
tatuchka [14]

Answer:

15

Step-by-step explanation:

We know that a half is equal to 3/6. Therefore 5/6 is higher up on the number line than 0.5, and it should be rounded up

4 0
3 years ago
Read 2 more answers
One x-intercept for a parabola is at the point
Fudgin [204]

Answer:

(2,0) was already given so (-1,0) is the other one.

Step-by-step explanation:

So we are asked to use the quadratic formula.

To find the x-intercepts (if they exist) is use:

\text{ If } y=ax^2+bx+c \text{ then the } x-\text{intercepts are } (\frac{-b \pm \sqrt{b^2-4ac}}{2a},0).

Let's start:

Compare the following equations to determine the values for a,b, \text{ and }c:

y=ax^2+bx+c

y=4x^2-4x-8

So

a=4

b=-4

c=-8

We are now ready to enter into our formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{4 \pm \sqrt{(-4)^2-4(4)(-8)}}{2(4)}

x=\frac{4 \pm \sqrt{16+16(8)}}{8}

x=\frac{4 \pm \sqrt{16(1+8)}}{8}

x=\frac{4 \pm \sqrt{16}\sqrt{1+8}}{8}

x=\frac{4 \pm 4\sqrt{9}}{8}

x=\frac{ 4 \pm 4(3)}{8}

x=\frac{4 \pm 12}{8}

x=\frac{4(1\pm 3)}{8}

x=\frac{1(1\pm 3)}{2}

x=\frac{1 \pm 3}{2}

x=\frac{1+3}{2} \text{ or } \frac{1-3}{2}

x=\frac{4}{2} \text{ or } \frac{-2}{2}

x=2 \text{ or } -1

So the x-intercepts are (2,0) and (-1,0).

(2,0) was already given so (-1,0) is the other one.

7 0
3 years ago
Solve the exponential equation: 2^10 = 4^2^x
arsen [322]

Answer:

x = ln10/ln4

Step-by-step explanation:

2^10 = 4^2^x

Now, rewrite 4 with 2 as the base.

2^10 = 2^4^x

Now with rules of exponential equality, we can equal the powers on the left to the powers on the right as they both have the same base.

10 = 4^x

<em>using ln to lower the variable</em>, we get

ln10 = xln4

x = ln10/ln4

tadah!

3 0
2 years ago
Simplify the given expression:
maria [59]
We will multiply the two using the distributive property:
-5(1 - 2i) + 3i(1 - 2i)
= -5 + 10i + 3i - 6i²
Now, i² = -1
= -5 + 10i + 3i -6(-1)
= 6 - 5 + 10i + 3i
= 1 + 13i
The second option is correct.
8 0
3 years ago
Find the solution the each of the following first order linear differential equations:
Cerrena [4.2K]

Answer:

a. y=\frac{2}{3}x^7+cx^4

b. y=2e^{7x}-ce^{5x}

c. y=e^{-2x}arctan(e^{2x})+ce^{-2x}

d. i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)

Step-by-step explanation:

a) xy' -4y = 2 x^6

xy'-4y=2x^6\\y'-\frac{4}{x}y=2x^5\\p(x)=\frac{-4}{x}\\Q(x)=2x^5\\\mu(x)=\int P(x)dx=\int \frac{-4}{x}dx=Ln|x|^{-4}\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=x^4 \int {x^{-4}2x^6}dx\\y=\frac{2}{3}x^7+cx^4

 

b) y' - 5y = 4e^7x

y'-5y=4e^{7x}\\p(x)=-5\\Q(x)=4e^{7x}\\\mu(x)=\int P(x)dx=\int-5dx=-5x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{5x}\int {e^{-5x}4e^{7x}}dx\\y=2e^{7x}-ce^{5x}

c) dy/dx + 2y = 2/(1+e^4x)

\frac{dy}{dx}+2y=\frac{2}{1+e^{4x}}\\p(x)=2\\Q(x)=\frac{2}{1+e^{4x}}\\\mu(x)=\int P(x)dx=\int 2dx=2x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{-2x}\int {e^{2x}\frac{2}{1+e^{4x}}}dx\\y=e^{-2x}arctan(e^{2x})+ce^{-2x}

d) 1/2 di/dt + i = 4cos(3t)

\frac{1}{2}\frac{di}{dt}+i=4cos(3t)\\\frac{di}{dt}+2i=8cos(3t)\\p(t)=2\\Q(t)=8cos(3t)\\\mu(t)=\int P(t)dt=\int 2dt=2t\\i=e^{-\mu(t)}\int {e^{\mu(t)}Q(t)dt}\\i=e^{-2t}\int {e^{2t}8cos(3t}dt\\i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)

3 0
3 years ago
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