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3 years ago

PLS HELP ASAP (no links) 15% of n is 60 A. 4 B. 9 C. 400 D. 25 E. 30

Mathematics

2 answers:

Assoli18 [71]3 years ago

7 0

Answer: 400

Step-by-step explanation: 15% of 400 is 60… 400 times .15 = 60

Firdavs [7]3 years ago

5 0

Answer: B: 9

Step-by-step explanation: Multiply 60 by .15.

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#5- The ratio of the measurement of an angle to its supplement is : . Find the angle and its supplement

frutty [35]

This would be a great question, and fun to work on, if only you had actually
told us what the ratio of the angle to its supplement is.

Sadly, the only part of the ratio that has survived the trauma of getting posted
is the colon in the middle. The numbers on each side of it have disappeared.

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3 years ago

P(k)=a^k=2 3 4 find value of a that makes this is a valid probability distribution

Vesna [10]

Sounds like you're asked to find $a$ such that

$\displaystyle\sum_{k=2}^4\mathbb P(k)=\mathbb P(2)+\mathbb P(3)+\mathbb P(4)=1$

In other words, find $a$ that satisfies

$a^2+a^3+a^4=1$

We can factorize this as

$a^4+a^3+a^2-1=a^3(a+1)+(a-1)(a+1)=(a+1)(a^3+a-1)=0$

In order that $\mathbb P(k)$ describes a probability distribution, require that $\mathbb P(k)\ge0$ for all $k$ , which means we can ignore the possibility of $a=-1$ .

Let $a=y+\dfrac xy$ .

$a^3+a-1=\left(y+\dfrac xy\right)^3+\left(y+\dfrac xy\right)-1=0$
$\left(y^3+3xy+\dfrac{3x^2}y+\dfrac{x^3}{y^3}\right)+\left(y+\dfrac xy\right)-1=0$

Multiply both sides by $y^3$ .

$y^6+3xy^4+3x^2y^2+x^3+y^4+xy^2-y^3=0$

We want to find $x\neq0$ that removes the quartic and quadratic terms from the equation, i.e.

$\begin{cases}3x+1=0\\3x^2+x=0\end{cases}\implies x=-\dfrac13$

so the cubic above transforms to

$y^6-y^3-\dfrac1{27}=0$

Substitute $y^3=z$ and we get

$z^2-z-\dfrac1{27}=0\implies z=\dfrac{9+\sqrt{93}}{18}$
$\implies y=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}$
$\implies a=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}-\dfrac13\sqrt[3]{\dfrac{18}{9+\sqrt{93}}}$

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3 years ago

Write 81 more than x as an algebraic expression

julsineya [31]

81 more than x
more than means add
81 more than x
x+81 or 81+x

8 0

4 years ago

You will get points for asking me questions Ask me any question and ill answer it

vampirchik [111]

A large soft drink costs one and a half times as much as small soft drink. If a small drink costs n dollars, write an expression representing how much a large drink costs.

A) 1.5n

B) 1.5 + n

C) 0.5 + n

__ n

3 0

3 years ago

a quadratic function f(x) is graphed in the xy-coordinate plane in which wuadrant eould the vertex of f (x+3)+2

allochka39001 [22]

Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

5 0

3 years ago