The no. of unique card combinations we can create is 59280
What is permutation and combination?
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.
There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.
So, by using fundamental principle of counting=40x39x38 =59280
Therefore, the no. of unique card combinations we can create is 59280
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4 1/3 x 5 1/3 x 8 1/3 x 6 divided by 2.
Answer:
5,200
Step-by-step explanation:
[tex](4\frac{1}{3} * 5\frac{1}{3} * 8\frac{1}{3} * 6 )/ 2 = 10,400/2 = 5,200[/tex]
Based on these results, which is the most reasonable
balls she will have blocked after 8 games?
A 96
B 32
C 72
D 56
Answer:
theanswer is D.72
Step-by-step explanation:
this.is because she blocked 36 balls in the first 4 games
As per the given data, it can predict that after 8 games the number of blocks would be 72 balls. Option c is correct.
Given that,
Based on these results, which is the most reasonable balls she will have blocked after 8 games is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Average balls blocked in 4 games = 8 + 12 + 9 + 7 / 4 = 36 / 4
= 9
For the 8 games the number of ball blocked would be = 8 × 9 = 72
Thus, as per the given data, it can predict that after 8 games the number of ball blocks would be 72 balls. Option c is correct.
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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equation y = 2.5 x + 4 intersect the circle with radius 5 and center (0, 4)?
Answer: The required point = (1.857,8.643)
Step-by-step explanation:
Equation of circle with center (h,k) and radius r: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Given: Radius = 5 , center = (0,4)
Eqation of circle: [tex](x-0)^2+(y-4)^2=5^2[/tex]
[tex]x^2+(y-4)^2=25[/tex]
[tex]x^2+(2.5x+4-4)^2=25[/tex] [Using equation y = 2.5 x + 4 ]
[tex]x^2+(2.5x)^2=25[/tex]
[tex]x^2+6.25x^2=25[/tex]
[tex]7.25x^2=25[/tex]
[tex]x^2=3.44827586207[/tex]
[tex]x=1.857[/tex]
[tex]y= 2.5(1.857)+4[/tex]
[tex]=8.6425[/tex]
Hence, the required point = (1.857,8.643)
Identify the equation of the circle that has its center at (-8, 15) and passes through the origin
A. (x – 8)2 + (y + 15)2 = 17
B. (x + 8)2 + (y – 15)2 = 289
C. (x - 8)2 + (y + 15)2 = 289
D. (x + 8)2 + (y - 15)2 = 17
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
Give all the basic trigonometric functions that satisfy the condition [tex]f(x) \neq 0[/tex]
Answer:
i need points lol
Step-by-step explanation:
sorryyyyy
3. 0.3 + 0.2 + 0.1 =
so what would the answer be?
Answer:
1.2
Step-by-step explanation:
3. 0.3+0.2+0.1
Multiply 3 and 0.3 to get 0.9
0.9+0.2+0.1
Add 0.9 and 0.2 to get 1.1
1.1+0.1
Add 1.1 and 0.1 to get 1.2
1.2
How many real roots does the equation (x^2+1)(x-2)=0 have?
A: 3
B: 1
C: 0
D: 2
Walter buys a new truck for $38,000. The truck loses value at a rate of 16% per year. Which equation models the value, V(t), in dollars, of the truck after t years?
A.V(t) = 38000(0.16)t B. V(t) = 38000(0.84)t
C.V(t) = 38000(1.16)t D. V(t) = 38000(-0.84)t
Answer:
V(t) = 38000(0.84)^t
Step-by-step explanation:
HELP ASAP !!!! CAN SOMEONE HELP ME?!?!
Answer:
a
Step-by-step explanation:
square formula for area is [tex]s^{4}[/tex]
Annika has a circular garden with a radius of 14 feet. One fourth of the garden is planted with yellow roses. what is the area not planted in yellow roses? Use 22/7 for pi.
Answer:A
Step-by-step explanation:
3/4*22/7*14^2
=3/4*22/7*14*14
=3*11*2*7
=33*2*7
=66*7
=462
Answer:
462
Step-by-step explanation:
Giving brainlist to whoever answers
Answer: should be x> -18
Step-by-step explanation: hope this helps
Answer:
x > -18
Step-by-step explanation:
8 > 2 - x/3
Multiply the equation by 3.
24 > 6 - x
Flip around to make working with it easier.
6 - x < 24
Subtract 6 from both sides.
-x < 18
Divide by -1. When dividing by a negative in an inequality, flip the sign.
x > -18.
has a y-intercept of (0,2) and passes through the point (3,128)
Answer:
y = 42x + 2
Step-by-step explanation:
The equation of a line is expressed as y = mx+b
Slope = y2-y1/x2-x1
Slope = 128 - 2/3-0
Slope m = 126/3
Slope = 42
Since the y intercept is (0, 2), hence b = 2
Get the equation;
Recall that y = mx+b
y = 42x + 2
This gives the required equation
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answer:
6 got off at NJ
Step-by-step explanation:
if u write an equation it would be 44-x+2x=50. -x+2x=x so the equation would now be 44+x=50. If you subtract both sides by 44, it would be x=6. x was the number of people that got off at NJ so 6 people got off there.
Hope this helps!
What is the value of x ?
Answer:
x = 9°
Step-by-step explanation:
The full arc of the angles equals 360°. So, we can subtract all of the measures of angles we are given from the total 360 to find the value of x.
We can add the given angles together and subtract the sum from 360 as well.
73 + 63 + 89 = 225
This means the measure outside 15x is a combines 225°.
Now, subtract the known measures from our total, 360.
360 - 225 = 135
The unknown, or 15x, is equal to 135°.
15x = 135
Solve this like a normal equation. Divide both sides by 15 to isolate x and solve for the variable.
[tex]\frac{15x}{15}[/tex] = [tex]\frac{135}{15}[/tex]
x = 9
x is equal to 9°.
We can check by adding all our values together again to see if they amount to 360°.
73 + 63 + 89 + 15(9) = 360
360 = 360
The equation is correct, so we can be sure that we are right.
The answer is x = 9°.
Good luck ^^
Find f(–3) if f(x) = –3x – 5.
A –10
B –4
C 4
D 12
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
Please help with this it's due in 30 minutes! Please answer AT LEAST half of questions (and explain how you did it if you only answer half or less) you will receive 30 points! I will be reporting people/bots. Or you can EXPLAIN it to me so I can just do it myself thank you! (:
Answer:
easy cut the hole shape into samller versions of the shapes and than at the end when u have all the numbers add them to the hart
Step-by-step explanation:
Answer
u=69
d=42
f=35
e=35
g=55
h=45
i=45
m=120
k=15
L=75
j=15
p=21
q=55
t=42
o=69
n=21
a=60
b=60
c=60
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the little squares in the corner mean its a right angle (90 degrees)
the two lines like in the op triangle mean the two angles downwards are the same.
angles in a semicircle add up to 180 degrees
3 lines mean all angles are the exact same
(Sorry i forgot 2 angles dont know which ones i forgot but with the info i gave you should be able to work those two out :)
2. Aaron baked two identical cakes. He cut one into 9 equal slices and the other into 19 equal slices.
a) Show that ⅔ of the 9-slice cake gives the asme number of pieces as 1/
3 of the 18 slice cake.
2/3 x 9 = 6 slices
1/3 x 18 = 6 slices
Hence they give the same number of slices.
Emma reads at a constant rate. In 6 hours, Emma read a 130-page book and a 90-page book. If h represents the number of hours it takes Emma to read 400 pages, which proportion can be used to solve for h?
A:130/90=6/h C:400/6=200/h
B:130/6=400/h D:220/6=400/h
Answer:
D
Step-by-step explanation:
i'm doing the activity rn and got it right
Answer:
the answer is d
Step-by-step explanation:
Given that the measure of ∠ is 45°, and the measure of ∠ is 49°, find the measure of ∠.
Answer:
86º
Step-by-step explanation:
If this is a trriangle the sum of the angles is 180º
180 - 45 - 49 = 86º
On a scale drawing with a scale of
1 cm:2.5 m, the height of a tree is
8.4 cm. How tall is the actual tree?
Answer:
21 m
Step-by-step explanation:
1:2.5 = 8.4: x
8.4*2.5 = 21
when we combine speed with direction indicated by the sign of the number, it is called velocity. True or False: this means that if you are moving 5 meters per second to the right, then your velocity is +5 meters per second?
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
what is the product of 3.4* 10^2 and 1.8* 10^3 expressed in scientific notation
Answer:
6.12 x 10⁵
Step-by-step explanation:
You just multiply 3.4 and 1.8 which gives 6.12
And for the notation you add the exponents 2 and 3 which give 5
Answer:
6.12 × 10^5.
Step-by-step explanation:
3.4 × 10² × 1.8 × 10³
To solve this, we can group.
[tex](3.4 * 1.8) * (10^2 * 10^3) =[/tex] [tex](6.12) *(10^5).[/tex]
Therefore,[tex](3.4 *1.8)*(10^2*10^3) = 6.12 * 10^5[/tex]
Question 16
Make x the subject of the formula
y = ax2
PLZ HELP MEEE
Answer:
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
Step-by-step explanation:
Given
y = ax² ( divide both sides by a to isolate x² )
[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{y}{a} }[/tex]
A cyclist travels 6 miles in 45 minutes.
What is his average speed in mph? URGENT URGENT
Answer:
8 mph
Step-by-step explanation:
45 minutes = 6 miles
1 hour = 8 miles
The diameter of a planet is about 25,660 mi. The diameter of the planet's moon is about 35% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
The volume of the planet's moon is % of the volume of its planet.
(Round to the nearest whole number as needed.)
Answer:
4%
Step-by-step explanation:
Volume of sphere
v = (4/3)πr^3
Volume moon/ volume planet
We don't actually need the numeric value of the radius
just the 35% ratio
Radius of moon = .35 radius of planet
Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3
Cancel like terms
Vm / Vp = .35^3
Vm / Vp = 0.042875
Expressed as a percentage
Vm / Vp = 4.2875%
Rounded
Vm / Vp = 4%
The volume of a cylinder is 169 pie in.3 and the height of the cylinder is 1 in. What is the
radius of the cylinder?
The radius of the cylinder is in. (Simplify your answer.)
Answer:
Step-by-step explanation:
Please help quick I have no idea what to do
Answer:
2
Step-by-step explanation:
rise/run 4/2