The graphs below have the same shape. What is the equation of the blue<br> graph?

A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?

Inessa [12570]

The likelihood she will miss on her first attempt is 52.17%.

4 0

3 months ago

The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Expr

lawyer [12517]

Response:

$S(r)=4\pi r^2$ .

Step-by-step explanation:

It is established that the surface area S of a single-celled organism can be calculated by multiplying 4π by the square of the cell's radius r.

We need to portray S as a function of r.

Let r represent the radius of the cell and S(r) denote the surface area of the single-celled organism corresponding to radius r.

Based on the question,

$S(r)=4\pi \times r^2$

$S(r)=4\pi r^2$

Therefore, the required function is $S(r)=4\pi r^2$ .

5 0

2 months ago

Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract

tester [12383]

Answer:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Detailed solution:

Given:

The problem to solve is:

$x^2=-5x+8$

Convert the equation into the standard quadratic form $ax^2+bx +c =0$ , where $a,\ b,\ and\ c$ represent constants.

So, by adding $5x-8$ to both sides, we get:

$x^2+5x-8=0$

Note that $a=1,b=5,c=-8$ .

The roots of this quadratic are found by applying the quadratic formula given as:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute $a=1,b=5,c=-8$ into the formula and calculate for $x$ .

$x=\frac{-5\pm \sqrt{5^2-4(1)(-8)}}{2(1)}\\x=\frac{-5\pm \sqrt{25+32}}{2}\\x=\frac{-5\pm \sqrt{57}}{2}\\\\\\\therefore x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Hence, the roots are:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

4 0

4 months ago

Read 2 more answers

The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number

Zina [12379]

Answer:

[[IMG_1]]

The relevant equation is: b. 0.75x + 0.15y = 90

8 0

3 months ago

Read 2 more answers

The graphs below have the same shape. What is the equation of the blue graph?