Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture
frame?
3
18 cm
32 cm
0 48 cm
0 50 cm
Answer:
The correct answer is option 2: 32 cm
Step-by-step explanation:
Let l be the length of the picture frame and w be the width
Then according to given statements, the system of equations will be
[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]
Putting w = 2l-4 in equation 1
[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]
Putting the value of l in equation 2
[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]
The width is 32 cm
Hence,
The correct answer is option 2: 32 cm
Simplify.
6² + 3²
09
O 18
O 45
081
Answer:
45
Step-by-step explanation:
6² + 3²
36 + 9
45
Follow me please
Lily runs 200 meters in 34 seconds.
Answer:
Good for Lily.
Step-by-step explanation:
A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?
Answer:
you mean 2.5?????? in two quart????
Write the linear equation in slope-intercept form 4x + y = 10
Answer:
y=-4x+10
Step-by-step explanation:
you subtract 4x on both sides
simplifyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
x^2 - 11x + 30 = (x - 6)(x - 5)
x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 40 = (x + 8)(x - 5)
x - 2 = x - 2
Invert and multiply the right fraction.
(x - 6)(x - 5) (x - 2)
=========== x =======
(x - 2)(x + 2) (x + 8)(x - 5)
x - 5 on the top cancels with x - 5 on the bottom
x - 2 on the top cancels with x - 2 on the bottom left
So what's left?
(x - 6)
===============
(x + 2)(x + 8)
This is likely the answer.
Answer:
[tex]\frac{x-6}{x^{2} +10x+16}[/tex]
Step-by-step explanation:
to much to explain
Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])
Answer:
(2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y - 3x = 1
2y - x = 12
Step 2: Rewrite Systems
y - 3x = 1
Add 3x on both sides: y = 3x + 1Step 3: Redefine Systems
y = 3x + 1
2y - x = 12
Step 4: Solve for x
Substitution
Substitute in y: 2(3x + 1) - x = 12Distribute 2: 6x + 2 - x = 12Combine like terms: 5x + 2 = 12Isolate x term: 5x = 10Isolate x: x = 2Step 5: Solve for y
Define equation: 2y - x = 12Substitute in x: 2y - 2 = 12Isolate y term: 2y = 10Isolate y: y = 5Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?
Answer: First you have to take 20% and make it into a fraction 1/5.
Then you multiply 46.5 and multiply it by 1/5 and get 9.3
Add $46.50 and $9.30 and get $55.80
Step-by-step explanation: Hope this helps!! <3
1. Which equation does not represent a
linear function?
A y = -2x
B y = x
c y = 6x +2
I need help please :D Thanks
Answer:
Step-by-step explanation:
HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup and search mixed number caculator and it should help u its a web
Solve the system using elimination. 5x + 3y = -6
3x-2y = 4
Answer:
x=0;y= -2Step-by-step explanation:
(please look the attachment) Hope it helps... please mark this answer as brainliestExpress the percent as a decimal 6.4%
Answer:
0.064
Step-by-step explanation:
Hope this helps!
I need help pleaseee stattt (11 points )
Answer:
If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
Question 4 (Essay Worth 10 points) (07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function xx) = (1.04)X-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
is it g(x) = 350(1.04)x − 1
or is it this- > g(x) = 350[(1.04)x − 1]
Step-by-step explanation:
well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment
If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
I need help pleas I need it please please please free 50 points free 50 pionts
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation:
Expand the following expression by using the distributive method. 6(3b-4c)
decide whether the rates are equivalent.
24 laps/6 minutes
72 laps/18 minutes
Answer:
Yes they are equivalent
Step-by-step explanation:
Because 24/6=4
And 72/18= 4
Hope this helps, have a good day
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0
Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
-----
4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
-----
Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
-----
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!
Answer:
x = +/-pi/3 or x = -pi/3 or (4/3)pi
Step-by-step explanation:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
6a^(3)+2a^(2)-8a-9-8a^(3)-a^(2)-6a+1
Answer:
[tex]-2a^3+a^2-14a +8[/tex]
Step-by-step explanation:
Given
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Required
Simplify
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Collect Like Terms
[tex]-8a^3+6a^3-a^2+2a^2-8a-6a-9+1[/tex]
[tex]-2a^3+a^2-14a +8[/tex]
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
What is an algebraic expression?
A. the operation between two number or letters
B. letters that represent numbers
C. a branch of mathematics
D. a combination of operations on letters and numbers
Answer:
d. a combination of operations on letters and numbers
Step-by-step explanation:
b is a variable and c can be all sort of things
Answer:
D. a combination of operations on letters and numbers.
Step-by-step explanation:
What constant term should be added to both sides to complete the square on the left side?
x^2 - 3/4x + _____ = 10
Answer:
9/64Step-by-step explanation:
Given
x² - 3/4x + _____ = 10Need to complete square on the left side of equation
The square should be in the form of:
(a + b)² = a² + 2ab + b²We see a = x therefore
2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64So the missing constant term is 9/64
What is the quotient of 228 ÷ 12?
Answer:
19
Step-by-step explanation:
228/12=19
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below
Answer:
the correct graph is B
Step-by-step explanation:
to check, you can see that my graph and graph in answer B both intersects at (-1,2)
Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal
Answer:
Root of polynomial synonyms: zero, x-intercept
Step-by-step explanation:
Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?