~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
(X-2)(x+1)
Expand and simplify
(x - 2)(x + 1) = ...
= x² + (-2 + 1)x + (-2•1)
= x² - x - 2
Find two integers whose sum is -3 and product is -18
With this in mind,
x + y = -3
x * y = -18
[] Let's think about the factors of -18Then we will think about which ones could add up to 3
1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)
Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.
[] Last, we will testYou can see our test shows this solution works!
-6 + 3 = -3
-6 * 3 = -18
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Need help with this.
Answer:
A. The reciprocal of 9/10 is 10/9
B.2/3
Step-by-step explanation:
A. A reciprocal is the inverse of a number
B. 3/5*10/9=
30/45 or 2/3
Difference between 42.4 and 3.74
Answer:
38.66
Step-by-step explanation:
i need answers thank you
Answer:
A
Step-by-step explanation:
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later
25 x 2 = 50
60 x 2 = 120
120 + 50 = 170
So they have travelled 170 miles apart from one another.
or 170 mi/h
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!!! i will give brainliest.
Answer:
hope it helps
Step-by-step explanation:
[tex]\\ \sf\longmapsto y+4=2y-15[/tex]
[tex]\\ \sf\longmapsto 2y-y=19[/tex]
[tex]\\ \sf\longmapsto y=19[/tex]
m<K=23°m<N=23°[tex]\\ \sf\longmapsto 2x-3=5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PM=5Diagram attached
Find the common difference of the arithmetic sequence 13, 21, 29, .
Answer: 8
Step-by-step explanation:
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps
Answer:
(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)Step-by-step explanation:
Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlinedpa BRAINLEST pls
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?
A. 10
B. 15
C. 18
D.20
Answer: 15
Step-by-step explanation: you basically add n per sequence.
0+1 = 1
1+2 = 3
3+3 = 6
6+4 = 10
10+5 = 15
Hope this helps
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation
Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?
Answer:
6
Step-by-step explanation:
when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.
hope this helps! :D
so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well
Answer:
Y = -X + 9
Step-by-step explanation:
yeah-ya....... right?
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.A coffee ta
For the total multiply the amount by 1 + the meal tax:
25.30 x 1.08 = $27.32
Answer: $27.32
Francis graphs the system of equations to determine its solution.
3x+2y=12
3x−y=3
What is the correct solution?
Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
3x+2y=12 x= −2/ 3 y+4
3x-y=3 x= 1 /3 y+1
i hope this helps in anyway :/
The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
What is a Linear Equation?If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given that the system of linear equations;
3x + 2y = 12 and 3x − y = 3 is
Solving the equations by elimination, we get
x = 2 and y = 3
Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
For more reference on Linear Equation, click;
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10.
Identify the vertex of the parabola.
A. (−1, 0)
B. (0, −1)
C. (1, 0)
D. (0, 1)
Answer:
C. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
1,0 should be the correct answer
Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].
The numerical value of the mean voltage in the circuit is
The numerical value of the mean voltage is 25.47 V
To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]
So,
[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]
V ≅ 25.47 V
So, the numerical value of the mean voltage is 25.47 V
Learn more about mean volatage here:
https://brainly.com/question/17928028
PLS HELP!! I WILL GIVE BRAINLIEST
refer to attachments for the question
In ∆PQR and ∆MNR
PQ=MNQR=RN<Q=<M=90°Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Step-by-step explanation:
PQ ≅ MN ⇒ Given
QR ≅ NR ⇒ Given
R is midpoint of PM ⇒ Given
PR ≅ MR ⇒ Definition of midpoint
ΔPQR ≅ ΔMNR ⇒ SSS postulate
Li enters a competition to guess how many jelly beans are in a jar.
Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300
.What is the percent error of Li’s guess?
Answer:
15% 15%
Step-by-step explanation:
it was correct for me
The percent error of Li’s guess is 15%
What is the absolute error?"It is the absolute difference between an observed value and the actual value."
What is the relative error?"It is the ratio of the absolute error of the measurement to the actual value."
What is the percent error?"It is the relative error multiplied by 100."
For given example,
Li’s guess is 345 jelly beans.
observed value (E) = 345
The actual number of jelly beans is 300
actual value (A) = 300
So, the absolute error is,
Absolute error = |E - A|
= | 345 - 300|
= 45
Now, we find the relative error of Li's guess.
Relative error = 45 ÷ 300
Relative error = 0.15
The percent error is,
0.15 × 100 = 15%
Therefore, the percent error of Li’s guess is 15%
Learn more about the percent error here:
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Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
2/3 = 40/60
3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
x²-2/p(p²+1)+4
What is the value of factor
[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please
Answer:
x=21/2
Step-by-step explanation:
5(x+3)=6(12+x/2)
Distribute the 5.
5x+15=6(12+x/2)
Reduce the numbers with the greatest common factor 2.
5x+15=3(12+x)
Distribute the 3.
5x+15=36+3x
Move the variable to the left-hand side and change the sign.
5x+15-3x=36
Collect like terms.
2x=36-15
2x=21
Divide 2 on both sides
x=21/2
Hope this helps :)
Answer:
x = 10.5
Step-by-step explanation:
5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides
5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )
2x + 15 = 36 ( subtract 15 from both sides )
2x = 21 ( divide both sides by 2 )
x = 10.5
what is 8 x ( 4 x 2 ) = ?
Answer:
64
Step-by-step explanation:
4*2 is 8
Multiply 8*8
Answer:
the answer is 64
Step-by-step explanation:
8(4*2)
=8*8
=64
Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6
Answer:
38 - 32 = 6
Step-by-step explanation:
subtract the question
DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]
(b)
7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]
c)
[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²
(d)
[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]
subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what
Answer:
[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]
hope helpful <3
Answer:
3/9
Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3
Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answer:
a. y = -2/3(x) + 4
B. 2
C. 4
Step-by-step explanation:
The gradient, m = (2-4)/(3-0) = -2/3
A. To find the equation of the line we use:
y - y1 = m(x - x1).
We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.
We will pic points (0, 4)
Substitute it in the equation.
=> y - 4 = (-2/3) (x - 1)
cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.
=> y = (-2/3)x +4..
(ps: this x is a variable)
B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line
C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line
1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step
Answer:
1/3x+7=26
Step-by-step explanation:
1/3 of a number which could anything so mark as X
add 7
equals 26
1/3x+7=26
help me please please please
Answer:(-2, -3)
Step-by-step explanation:
U do it then flip it upside down