Answer:
i have adhd too lol, i think its they're both equal ?
Step-by-step explanation:
no idea lol but have a good day
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice
Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]
[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]
step 2 : multiply the matrix above to determine the number of mice that will be infected
a) For next week
PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]
i.e. 360 mice will get infected next week
next 2 week = P ( PX )
= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
b) In 3 weeks time
P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]
i.e. 364 mice will get infected in 3 weeks time
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
Is this quadratic? If so what form is it?
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
Find the area of the triangle.
24 in.
32 in.
Answer:
A = 384 inches^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 32) *(24)
A = 384 inches^2
Answer:
The area of triangle is 384 inches².
Step-by-step explanation:
Given : -Base of triangle = 24 inchesHeight of triangle = 32 inches To Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 32 inches × 24 inches.
multiply,
Area of triangle = 1/2 × 768 inches ²
Divide, we get
Area of triangle = 384 inches ²
Therefore, The area of triangle is 384 inches².
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
Please help it’s summer school and i need serious help
Answer:
B
Step-by-step explanation:
Please help me with this as quickly as possible
3 hour 30 minutes : 36 minutes
1 hour = 60 minutes
3 hour = 3×60 minutes = 180 minutes
3hour 30 minutes = 180 minutes + 30 minutes
= 210 minutes
210 minutes : 60 minutes
3 hours 30 minutes : 60 minutes = 6:2
Necesito ayuda con este ejercicio hay que determinar el valor de la a: [tex]a^{20} : a^{2x} = a^{12}[/tex]
Answer:
x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Step-by-step explanation:
Solve for x:
a^(20 - 2 x) = a^12
Take reciprocals of both sides:
a^(2 x - 20) = 1/a^12
Take the logarithm base a of both sides:
2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Add 20 to both sides:
2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Divide both sides by 2:
Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
Help me wit this rq…………..
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
how do i solve this problem
Answer:
[tex]A\approx 159.6[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
[tex]A=(length)(width)\\[/tex]
Substitute,
[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]
Simplify,
[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)
[tex]A=\frac{(\pi)(r^2)}{2}[/tex]
Substitute,
[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]
Simplify,
[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
[tex]A=A_r+A_s\\[/tex]
Substitute,
[tex]A=140+19.635[/tex]
Simplify,
[tex]A=159.635[/tex]
[tex]A\approx 159.6[/tex]
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
Solve for x in the equation x squared + 2 x + 1 = 17.
Step-by-step explanation:
quadratic formula
-b+-√b^2
2a
-2+-√2^2-4×1×-16
2×1
-2+-√68
2
either
x= 3.125
or
x= -5.125
helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Will mark Brainlest help please (find the value of x or theta) step by step
Answer:
Step-by-step explanation:
BC=[tex]\sqrt{5^2+5^2}[/tex]
x =[tex]\sqrt{50}[/tex]
x = 5[tex]\sqrt{2}[/tex]
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Step-by-step explanation:
BC=\sqrt{5^2+5^2}52+52
x =\sqrt{50}50
x = 5\sqrt{2}2
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cylindrical coordinates to find the volume of the region. Do NOT actually integrate.
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
General Formulas and Concepts:
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²
Plane z = 2
Step 2: Find Volume Pt. 1
Find bounds of z.
[Sphere] Substitute in plane z:∴ 0 ≤ r ≤ 2√3
Step 2: Find Volume Pt. 2
[Sphere] Substitute in plane z:∴ 0 ≤ θ ≤ 2π
Step 3: Find Volume Pt. 3
[Sphere] Substitute in cylindrical conversions:∴ 2 ≤ z ≤ √(16 - r²)
Step 4: Find Volume Pt. 4
Substitute in variables [Volume Formula - Cylindrical Coordinates]:∴ the volume of the region is found with the integral above.
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Learn more about multivariable calculus: https://brainly.com/question/17203772
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Topic: Multivariable Calculus
Unit: Triple Integral Applications
CAN SOMEONE HELP ME PLS
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
solve the literal equation for C. -3x+2c=-3
Step-by-step explanation:
I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved
Answer:
c = 3/2x + −3/2
Step-by-step explanation:
Let's solve for c
-3x+2c=-3
Step 1: Add 3x to both sides.
2c −3x + 3x = −3 + 3x
2c = 3x −3
Step 2: Divide both sides by 2.
2c = 3x−3
2 2
c = 3/2x + −3/2
Answer:
c = 3/2x + −3/2
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]