Answer:
There are 3 marbles, that we assume are different.
Let's define them as marble 1, marble 2, and marble 3.
a) If the order is important, and we select the 3 marbles, then:
for the first marble, we have 3 options.
For the second marble, we have 2 options (because one is already taken)
for the third marble is only one option.
The total number of combinations is equal to the product between the numbers of options, so in this case, we have:
C = 3*2*1 = 6 combinations.
Now, if we only select 2 marbles from the bag, we have:
for the first marble, we have 3 options.
For the second marble, we have 2 options
Here the number of different combinations is:
C = 3*2 = 6 combinations.
And if we select only one marble from the bag, we have:
for the first marble, we have 3 options.
Then here are only 3 combinations.
the total number of combinations is:
C' = 6 + 6 + 3 = 15 different combinations.
b) If the order is not important, then there is only one combination when we draw the 3 marbles.
When we draw one marble there are 3 combinations (one for each marble)
When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)
then the total number of combinations in this case is:
C = 1 + 3 + 3 = 7
2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answer:
please translated to english
3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²
2x-3=5
(x+2)(3x-15)=0
Answer:
the first one gat to be x=4
Answer: 17
Step-by-step explanation: :)
solve for x pls help
Answer:
x=50
Step-by-step explanation:
The Intersecting Secant-Tangent Theorem states that if a secant and tangent line intersect outside of a circle, then
(length of the tangent line)² = (length of secant line from outside the circle to touching it) * (part of secant that is a chord). In this example, we can say that
30² = 18 * x
900 = 18 * x
divide both sides by 18 to isolate x
x=50
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
kx - c = 9 solve for x
Answer:
x = [tex]\frac{9+c}{k}[/tex]
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x = [tex]\frac{9+c}{k}[/tex]
what is bigger 35% or 2/5
Answer:
35% = .35
2/5 = 4/10 = .4
.4 >.35
Step-by-step explanation:
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
List the coordinates for the plotted points A, B, C, and D.
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
due to Deepavali or TV is sold for rupees 14900 after allowing a discount of 23% what is the Marked price
Answer:
Correct option is
C
Rs.8000
SP=xRs
CP=(0.8x+600)Rs
P%=14
7
2
%
SP=
100
CP(100+P%)
x=
100
(0.8x+600)(100+
7
100
)
x=
7×100
(0.8x+600)(800)
700x=640x+480,000
x=8,000
find the unknown anagels in the following figure
Answer:
ABC=BCD
so, X=60'
Z= 70'
Y=50'
Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
(18x²+11x+1) divided by (x+2)
Answer:
It's not divisible
Step-by-step explanation:
18x²+11x+1
= 18x²+9x+2x+1
= (9x+1)(2x+1)
So, you see there's no terms (x+2) so it's not divisible
Although if you simplify it, it'll look like,
18x+51/(x+2)-25
So you can't remove the (x+2)
NEED HELP IN FIVE MINUTE PLZ HURRY
Answer:
R=.2,P=.25, G=.55
Step-by-step explanation:
5 x 1/4
how can you use addition to show that your answer is correct?
Answer:
Step-by-step explanation:
[tex]5*\dfrac{1}{4}=\dfrac{5}{4}\\[/tex]
Using addition,
Add (1/4) , five times
[tex]\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{1+1+1+1+1}{4}\\\\=\dfrac{5}{4}[/tex]
Answer:
5/4
Step-by-step explanation:
Add 1/4 together 5 times:
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
given: y=8-3x find the slope and y intercept
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope ; "b" is y-intercept.
~~~~~~~
y = - 3x + 8
m = - 3
b = 8
can i get some help on this question please? ASAP!!
Answer:
left is a very good approximately .9 POSITIVE correlation
right is a very good approximately -.9 NEGATIVE correlation
Step-by-step explanation:
Find the value of x in the diagrams below
Answer:
1. x = 24
2. x = 31
Step-by-step explanation:
For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.
For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.
Answer:
1. 24
2. 31
Step-by-step explanation:
1. opposite angles are equal
( 3x-1)°=71°
3x=72
x=24
2. remember opposite angles are equal,
180°= (2x)°+(4x-6)°
186=6x
x=31
Round 2.12747677748 to the nearest ten-thousandth.
Answer:
2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.
Step-by-step explanation:
Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.
Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là
Answer:
x³-2x²-4x+8
Step-by-step explanation:
a1=x+2
a2=x²-4⇒q=a2/a1=x-2
⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8
Prove that angle ADC is congruent to angle CBA
with solution!
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
1. Match the letter of the centre to the lines that define it.
A Orthocentre
B. Incentre
C. Centroid
D. Circumcentre
median
altitude
perpendicular bisector
angle bisector
Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.
There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?
Answer:
4/25
Step-by-step explanation:
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
Replace marble
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
P(black, replace, black) = 2/5 * 2/5 = 4/25
x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0
x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4
Answer:
x=4 x = -2
Step-by-step explanation:
x²-2x=8
Subtract 8 from each side
x^2 -2x-8 = 8-8
x^2 -2x -8=0
What two numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4 =0 x+2 =0
x=4 x = -2
homework 3 distance and midpoint formulas
find the distance between each pair of points
-6' -5 and 2' 0
Step-by-step explanation:
-6-2=-8
-5-0=-5
-8^2+-5^2=64+25=89
square root of 89=9.4
Find the missing value.
Hint: Use the number line to find the missing value.
4-8
A
-15
-10 -5
0
10
5
Answer:
4 = -8 - x
4 + 8 = -8 + 8 -x
12 = -x
x = -12
So, -12 is the answer.
Let me know if this helps!
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. Find the area of the signal board, using Heron’s formula.If its perimeter is 180 cm, what will be the area of the signal board?
Answer:
[tex]900\sqrt{3}\:\mathrm{cm^2}\text{ or }\approx 1,558.85\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
Heron's formula can be used to find the area of any triangle and is given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).
By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of [tex]180\div 3=60\text{ cm}[/tex].
The semi-perimeter is therefore:
[tex]s=\frac{60+60+60}{2}=90\text{ cm}[/tex]
Substitute values into Heron's formula to get:
[tex]A=\sqrt{90(90-60)(90-60)(90-60)},\\A=\sqrt{90\cdot 30\cdot30\cdot 30},\\A=\sqrt{2,430,000},\\A=\boxed{900\sqrt{3} \:\mathrm{cm^2}}\approx \boxed{1,558.85\:\mathrm{cm^2}}[/tex]
factorise 1000a^2+27b^2
