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3 years ago

Is this right? If not let me know and explain how if u can. (No link <3)

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

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If you deposit ₱10,000 into an account that earns 5% annual interest compounded semiannually, how long will it take until there

emmainna [20.7K]

Answer:

t = 3.69 ≈ 3. 7 years

Step-by-step explanation:

Given :

P = 10,000

r = 5%= 0.05

A = 12,000

n = 2 ( because it is compounded semi - annually )

$A = P (1 + \frac{r}{n})^{nt}\\$

$12000 = 10000(1 + \frac{0.05}{2})^{2 t}\\\\1.2 = ( 1 + \frac{0.05}{2})^{2t}\\\\1.2 = (1.025)^{2t}\\\\log \ 1.2 = 2t \ log \ 1.025\\\\2t = \frac{log 1.2 }{log 1.025} \\\\2t = \frac{0.1823}{0.0247}\\\\2t = 7.3805\\\\t = 3.69$

8 0

3 years ago

Admission to the circus costs $4 plus $0.50 per ride. Ella spent $17.50 at the circus.

klemol [59]

Answer:

Ella went on 27 rides.

Step-by-step explanation:

$17.50 - $4 = $13.50

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20If%20%7D%20%5Cint_%7B%5Cfrac%7B-1%7D%7B%5C

Elodia [21]

We want to evaluate

$\displaystyle \int_{-\frac1{\sqrt2}}^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx$

First we note that the integrand is even (replacing x with -x doesn't fundamentally alter the function being integrated), so this is equal to

$\displaystyle 2 \int_0^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx$

The radicand reduces significantly to

$\displaystyle \left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2 = \frac{16x^2}{(1-x^2)^2}$

so that taking the square root, we simplify the integral to

$\displaystyle 8 \int_0^{\frac1{\sqrt2}} \frac x{1-x^2} \, dx$

which is trivially computed with a substitution of $y = 1 - x^2$ and $dy=-2x\,dx$ :

$\displaystyle -4 \int_1^{\frac12} \frac{dy}y = 4 \int_{\frac12}^1 \frac{dy}y = -4 \ln\left(\frac12\right) = \ln(2^4) = \boxed{\ln(16)}$

7 0

2 years ago

Brainliest for answer

GaryK [48]

The linear function that goes through the points (2,-4) and (-4,2) is:

y = -x + 2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

A linear function going through the points (2,-4) and (-4,2) would intersect the parabola at these points, hence these points would be the solution for the system of equations.

The slope of the line is:

m = (-4 - 2)/(2 - (-4)) = -1.

The line goes through point (2,-4), that is, when x = 2, y = -4, which we use to find the y-intercept b.

y = -x + b

-4 = -2 + b

b = -2.

Hence the equation is:

y = -x + 2.

More can be learned about linear functions at brainly.com/question/25537936

#SPJ1

8 0

2 years ago

A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four si

Brrunno [24]

Answer:

no u can not make another quadrilateral

3 0

3 years ago