Using the combination formula, it is found that she can shoot the ducks in 120 ways.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 ducks will be shoot from a set of 10, hence:
[tex]C_{10,3} = \frac{10!}{3!(10-3)!} = 120[/tex]
Thus, she can shoot the ducks in 120 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
i need an explanation please
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Explanation:
The [tex]n^2[/tex] terms cancel out because
[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]
The n terms combine to
5n + (-3n) = 5n - 3n = 2n
Lastly, the constants combine to
-6 + 4 = -2
Overall we have 2n - 2 as the simplified result.
whats 4n = 880.4's solution??
Answer:
n = 220.1
Step-by-step explanation:
4n = 880.4n = 880.4 ÷ 4n = 220.1the value of n is 220.1
in rectangle QRST , QS = 5x-31 and RT= 2x+11. Find the lengths of the diagonals of QRST
Answer:
11.7
Step-by-step explanation:
I just solved and added them all-
Write the equaition in slope-intercept form of the line through (6,9) and (-12,-3)
simply the expression
Answer:
5w^22
Step-by-step explanation:
If "x" is equal to 6, what is the value of the following expression? y = 2x + 9x + 3
Answer:
[tex]y = 69[/tex]
Step-by-step explanation:
Given the following question:
[tex]y=2x+9x+3[/tex]
[tex]x=6[/tex]
Substitute and solve using PEMDAS:
[tex]y=2x+9x+3[/tex]
[tex]y=2(6)+9(6)+3[/tex]
[tex]2\times6=12[/tex]
[tex]y=12+9(6)+3[/tex]
[tex]9\times6=54[/tex]
[tex]y=12+54+3[/tex]
[tex]12+54=66[/tex]
[tex]66+3=69[/tex]
[tex]y=69[/tex]
Your answer is "y = 69."
Hope this
Solve this:
Profit and Loss
ʘ‿ʘ
Answer:
181.44
Step-by-step explanation:
In term of Rajan
CP= Rs 180
P= 20%
So,
P = 20*180/100
= Rs 36
SP=CP + P
=Rs 216
In term of Sajan
CP= Rs 216
loss=20%
l = 20*216/100
= Rs 43.2
SP= CP - l
= Rs 172.8
In term of Nirajan
CP= 172.8
P = 5%
P = 5*172.8/100
= Rs 8.64
so,
SP=CP + P
=172.8 + 8.64
= Rs 181.44
Factor the expression 4x2-100
(4x-5)(x+20)
(2x+5)(2x-20)
4(x-5)(x+5)
(2x-5)(2x+20)
61280 divide by 72 I do not know how to get this answer please help
Answer:
851.1
Step-by-step explanation:
It would be 851.1
What side lengths should be used to model a rectangle with an area of x2 3x – 10 square units? x – 5 and x 2 x – 2 and x 5 x and x 3 x 3 and x – 10
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The area of the rectangle is x² + 3x – 10.
On factorization, we have
x² + 3x – 10
x² + 5x –2x – 10
x (x + 5) –2 (x + 5)
(x + 5) (x – 2)
We know that the area of a rectangle is given as
Area = Length × Width
x² + 3x – 10 = (x + 5)(x – 2)
On comparing, we have
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
see picture
Step-by-step explanation:
what is the remainder of 4.75?????
Answer:
I think its the 75
Step-by-step explanation:
hope this helps
50 points HELPP QUICK which figure is a rotation of figure A?
a. figure B
b. figure C
c. figure D
Answer: Figure D
Figure D is a 180 degree rotation of figure A.
what does this equal to?
Answer:
x = 14
y = 7
z = 22
Step-by-step explanation:
x = # of cucumbers
y = # zucchini
z = # tomatoes
x + y + z = 43
2y = x or y = x/2
x + 8 = z
x + x/2 + x + 8 = 43
2x + x/2 = 35
4x + x = 70
5x = 70
x = 14
2y = 14
y = 7
14 + 8 = z
z = 22
Check if these variables are right:
14 + 7 + 22 = 43 ✔️
what is the value of \sqrt{21} rounded to the nearest tenth
Answer:
4.5
explanation:
4.5 x 5(This number is not exactly important, but is used as an example)
Is extremely close to the true square root of 21.
That is 4.58257569495584 unrounded.
Identify the shape and solve for X
(will give Brainliest)
PLEASE HELP
Answer:
see explanation
Step-by-step explanation:
the figure has 4 congruent sides and 4 right angles and is therefore a square, then
8x - 15 = 3x + 11 ( subtract 3x from both sides )
5x - 15 = 11 ( add 15 to both sides )
5x = 26 ( divide both sides by 5 )
x = 5.2
Answer:
It's a square
x = 26/5
Step-by-step explanation:
Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.
Because the sides are equal, you would set up the equation by making the two expressions equal to each other:
3x + 11 = 8x - 15
The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.
3x + 11 = 8x - 15
-3x -3x
0 + 11 = 5x - 15
Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.
11 = 5x - 15
+15 +15
26 = 5x
Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.
x = 26/5
Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]
Which side of triangle XYZ is the longest?
A. overline XY
B. overline XZ
C. overline YZ
D. Cannot be determine
Answer:
B)XZ
Used a calculator and just took this quiz
Answer:
B
Step-by-step explanation:
m < y = 180 degrees - 60 degrees - 43 degrees = 77 degrees
77 > 60 > 43
xz > yz > xy
XZ is the longest side. So the answer is B
what percent of 250 is 182?
Answer:
182 is 72.8% of 250
Find the solution set for this equation.
-62-5b=0
Separate the two values with a comma.
[tex]\\ \rm\rightarrowtail -62-5b=0[/tex]
[tex]\\ \rm\rightarrowtail 5b=-62[/tex]
[tex]\\ \rm\rightarrowtail b=-62/5[/tex]
[tex]\\ \rm\rightarrowtail b=-12.4[/tex]
Which circle has the longest circumference? Why?
Answer: The longest part of the circle is called diameter. Diameter is a chord. It is equal to double of radius.
A chord is a line segment with both endpoints on the circle. The diameter is a special chord that passes through the center of the circle. The diameter would be the longest chord in the circle.
Step-by-step explanation:
in triangle cde find ec
Step-by-step explanation:
EF/EC = FG/CD
12/EC = 20/45
12 = 20/45 EC
12×45/20 = EC
27 = EC
EC = 27
See pic attached ..,,,
Answer:
hey buddy
do u rember me its me manisha
If there are 18 frogs in the tank and I put 9 in the bowl how many are left. 15 points
Answer:
Tank: 9 Bowl: 9
9 + 9 = 18
Step-by-step explanation:
Pls, choose me as brainliest!
Look at the sequence below. To get to the next term in the sequence,
subtract 90 from the term before.
520,
430, 340,
Write the first two terms of the sequence that are less than zero.
Answer:
The first two negative terms are -20 and -110
round off 6 337 927 to 3 significant figures
Answer:6340000
Step-by-step explanation:
By selling a jacket for Rs 729, Sunanda lost 10 %. What was the cost price of the
jacket?
Answer:
810
Step-by-step explanation:
SP = 729, LOSS = 10.1
[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]
10 CP = CP x 100 - 729 x 100
729 x 100 = 90 CP
[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]
Cost Price,
$810
A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of the pool is filled per hour?.
At the considered rate the fraction of pool that is filled per hour is 13/12
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.
in 12 hour time interval total 13 pools were filled.
That means
Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.
Thus, at the considered rate the fraction of pool that is filled per hour is 13/12
Learn more about rate of change here:
https://brainly.com/question/11484885
4.
Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the participants were recorded before and after the run. The pre-run and post-run pulse rates, in pulses per minute (ppm), are shown in the table below.
Based on the data in the table, which statement is true?
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
What is the post run mean?This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
What is the post run median?First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at https://brainly.com/question/396397.
What is a1 if a6 = 35 and a9 = 8
Answer:
the answer is 80
Step-by-step explanation:
it wrote the problem down on paper and did the math and i got 80
An angle measures 62.8° less than the measure of its supplementary angle. What is the measure of each angle?
Will give 30 to correct answer!
Some boats were traveling up and down a river. A satellite recorded the movements of several boats.
A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go? miles
A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity? miles per hour
Answer:
3a) 2.55 miles
3b) -5 mi/h
Step-by-step explanation:
3a)
In this problem, we want to know the distance travelled by the boat.
For a boat in uniform motion (=constant speed), the distance travelled can be written as
d=vtd=vt
where:
d is the distance travelled
v is the speed
t is the time
For the motor boat in this problem, we have:
v = 3.4 mi/h (we ignore the negative sign, because it only refers to the direction, but here we are considering the speed, which is a scalar and has no direction)
t = 0.75 h is the time
Therefore, the distance travelled is
D= (3.4)(0.75 = 2.55 miles
3b)
The velocity of an object is the ratio between its displacement (change in position) and time taken.
Since velocity is a vector, it has both a magnitude and a direction: so in this case, we also have to consider the sign when expressing the velocity.
The velocity is given by:
v=\frac{d}{t}v=
t
d
where
d is the displacement
t is the time taken
For the tugboat in this problem,
d = -1.5 mi is the displacement
t = 0.3 h is the time taken
So, its velocity is
v=\frac{-1.5}{0.3}=-5 mi/hv=
0.3
−1.5
= -5 mi/h
And the negative sign indicates that the boat is moving in the negative direction.