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2 years ago

Braiist can someome pls explain i dont know

Mathematics

1 answer:

Greeley [361]2 years ago

5 0

Answer:

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$

Consider the left side

$\frac{n^{x} }{n^{y} }$ = $n^{x-y}$ , then

$n^{x-y}$ = n²

Since bases on both sides are equal, equate the exponents

x - y = 2 → G

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Which of the following ordered pairs could be in a relation that has a range of {2, 4, 5}?

hodyreva [135]

Answer:

d) (3, 4), (5, 5), (5, 2)

Step-by-step explanation:

<em>We are asked to determine which orderpair in the option has the range of {2,4,5}</em>

Using the definition of range:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

So in the given options if we write the relation in the form of (x,y) then 4, 5, 2 are the values in the range

4 0

3 years ago

Read 2 more answers

Model with mathematics. A bus can hold no more than 86 students. Write an inequality to describe the situation. - Graph the ineq

ki77a [65]

Answer:

x less than or equal to 86

Step-by-step explanation:

this is because x represents the number of people since the bus cant hold anymore than 86 you can only have 86 or less people on the bus

8 0

2 years ago

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

3 years ago

Subtract 6 1/3 - 4 1/9

Debora [2.8K]

Answer:

2 2/9

Step-by-step explanation:

6 0

3 years ago

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.

Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| = $\sqrt {(0 + 5^2+3^2)} = \sqrt{34}$

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A = (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| $= \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}$

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) = $\sqrt{(26)} * \sqrt{(84)} *cosABC$

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0

3 years ago