Which mixed number is equivalent to the improper fraction below?

Pls Help!!! Evaluate each expression for the given value of each variable.<br> ...

dedylja [7]

You have to substitute each of the numbers given.

a.
2 + (3)^3
2 + 27
Answer: 29

b.
(1/2)^2
Answer: 1/4

c.
3(5)^2 + (3)
75+3
Answer: 78

d.
10(4) + (6)^2
40 + (6)^2
40 + 36
Answer: 76

6 0

3 years ago

Sami's square yard needs to be fenced to keep her dog, Sophie, home. Her yard is 400 square feet. How much fencing does she need

Aleksandr-060686 [28]

Answer: The answer is 1,600.
Explanation: since her back yard is a square that means it has 4 sides, and her yard is 400 sq ft. So you multiply 400 by 4 which equals 1,600. I haven’t done this in a long time so I’m not positive. But that should be it.

7 0

4 years ago

What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.

makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

$\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}$

Have rational roots, than the roots are of the form: $\frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.$

Rewriting the equation we have:

$x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.$

$x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.$

5 0

4 years ago

The measure of an angle is five times the measure of its supplementary angle. What is the measure of each angle?

solmaris [256]

Answer:

The original angle is 150 degrees.

4 0

3 years ago

In conditional probability, the notation P(A | B) is read:

il63 [147K]

The probability of a student taking the bus given that the student is a sophomore is 0.83

The complete question is attached with the answer below:-

<h3 /><h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:

P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1
To calculate the probability of a student taking the bus given that the student is a sophomore, we make use of:
P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)

Rewrite properly as:

$P_r = \dfrac{25}{3+2+25}$