All categories

3 years ago

I NEED HELP REALLY FAST

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

Answer:

f(x)= x+3

Step-by-step explanation:

start by plugging in the x values to see if they equal y

f(x)= x+3

f(x)= 2+3

f(x)=5

You might be interested in

How many ways are

jekas [21]

This link is a trap so sex traffickers can track you then kidnap you. there’s been an influx of these “answers” on this app. if you see them report them immediately. they’re praying on children and it’s so dangerous.

3 0

3 years ago

Daniela is a stain glass artist; she created the window below for her living room. What is

OLga [1]

The window has a shape of a semi-circle (half of a circle).

We know the diameter d = 12 ft.

The area of a (complete) circle is given by the formula:
A = π × r²

The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft

Therefore the area of the circle will be:
A = π × r²
= 3.14 × 6²
= 3.14 × 36
= 113.04 ft²

And the area of the semi-circle:
A = 113.04 ÷ 2
= 56.52 ft²

Hence, the area of the window will be 56.52 ft².

3 0

3 years ago

The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of

OleMash [197]

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

$P(X=x)=\ ^nC_xp^x(1-p)^x$ , where x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p= 0.80

n= 12

For x=10

$P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28$

Hence, the required probability = 0.28

3 0

3 years ago

Read 2 more answers

What is the slope of the line with equation y=-x

zmey [24]

The slope intercept form is y=mx+b
in this case y=-x
y=(-1)x + 0
so the slope m=-1 and y-intercept which is b is 0

6 0

3 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