Answer:
330
11 choose 4
[tex]=\frac{11!}{4!\left(11-4\right)!}\\= 330[/tex]
Step-by-step explanation:
find n. (n!)²- 4n! - 12 = 0
Answer:
n=6 , n=-2
Step-by-step explanation:
[tex]n^{2}-4n-12=0[/tex]
Factorise to give:
[tex](n-6)(n+2)[/tex]
Set first one to equal 0:
[tex]n-6=0[/tex]
[tex]n=6[/tex]
Set second one to equal 0:
[tex]n+2=0[/tex]
[tex]n=-2[/tex]
Reason for 2 solutions:
All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.
The solution(s) is the point where the graph crosses the x-axis
The image below shows the graph of the equation:
[tex]n^{2}-4n-12[/tex]
When y=0:
It intercepts the x-axis at 6 and -2 giving why n has 2 solutions
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:
Step-by-step explanation:
Let the tip be x.
You have to take 15% of 90 to get x.
The equation looks like
15/100 * 90 = x Multiply the numerator of the fraction by 90
1350/100 = x Divide by 100
x = 13.50
So the tip is 13.50
There are other ways you could do this problem, but I think this is the most easily understood.
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:-$13.50
Explanation:-Let the tip be x.
→ x = [tex] 90 \times \frac{15}{100} [/tex]
→ x = [tex] \frac{1350}{100} [/tex]
→ x = $13.50
HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
Find the area of the figure. Round to the nearest tenth if necessary.
Answer:
what is the figure i can kindly help if the figure was there i will edit this message and give the answer after i see the figure
10(11a) what is the answer need help ASAP
[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]
Answer:
110a
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2
Answer:
60
Step-by-step explanation:
56-7+22÷2
56-7+11
67-7=60
hope it helps thanks
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
single simplified fraction
X/3+X/5
Classify the following polynomial by its degree value. -x + x26 - 104
[tex] \: \: \: \: \: \: [/tex]
[tex] = 25x - 104[/tex]
Step-by-step explanation:
[tex] - x + x26 - 104[/tex]
use the commutative property to reorder the terms[tex] - x + 26x - 104[/tex]
collect like terms[tex] = 25x - 104[/tex]
hope it helps0.5 + (-1.5) - (-5.5) =
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
0.5 + ( -1.5 ) = -1
-1 - (-5.5) = 4.5
Hopefully this helped you. :)
45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members
Answer:
45% are female -> 72
100% are total -> x
x= 72• 100/45
x= 7200/45
x= 160
total= male+female
160= male + 72
male= 88
PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
help me i really need it
Answer:
A (0, -4)
Step-by-step explanation:
Standard form question
Answer:
1.64×10^7 km
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse of this right triangle.
QR² = PQ² +PR²
Expressing the given distances as multiples of 10^7 km, we have ...
QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896
QR = √2.6896 = 1.64
The shortest distance between planets Q and R is 1.64×10^7 km.
How do I divide using "partial remainders"?
Step-by-step explanation:
When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.
(4x 2 − 2x + 10) + (−2x 2 + 4x − 2)
Answer:
2x²+2x+8
Step-by-step explanation:
4x²-2x+10-2x²+4x-2
=4x²-2x²-2x+4x+10-2
=2x²+2x+8
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem
Answer:
63 feet
Step-by-step explanation:
perimeter is the sum of all four sides and, since it's a square then all sides are equal
to find how long each side is divide 252 by 4
252÷4 = 63
Answer:
It seems like you want to solve the question, so I'll not include the answer
Square has 4 sides and each sides are identical length so.
And Perimeter is just the total length of the sides of the shape. So...
Mathematically
Perimeter of square = 4s
where s is length of one side of square
If a car averages 22 miles per gallon, how many kilometers per liter is this?
We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km
Since it's mile per gallon, we divide the units mentioned above.
1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251
Now multiply this result as a factor to 22
That is 22 * 0.4251 = 9.3522
So the answer is 9.3522
Ernie’s bakery sells pastries for $.75 each. A customer purchased 112 pastries, and Ernie gave him an 8.375% discount. How much did that customer pay for the pastries he purchased?
Answer:
$7.6965 or $7.70
Step-by-step explanation:
We multiply the price by the amout he bought.
0.75 x 112 = 84 or $8.40
This is how much he would have paid without a discount. To find the discount we multiply the initial amount by the discount percent in decimal form.
8.4 x 0.08375 = 0.7035
This is the amount thay will be subtracted from the initial price.
8.4 - 0.7035 = 7.6965 or $7.70
3 to the power of -2 as a fraction
From the power rules, the power [tex]3^{-2}[/tex] is equal to the fraction [tex](\frac{1}{3})^{-2}[/tex].
Power RulesThere are different power rules one of them is the negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent. See the examples:
[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]
Then, the question gives:
[tex]3^{-2}=({\frac{1}{3}})^2[/tex]
Read more about power rules here:
https://brainly.com/question/12140519
#SPJ2
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
s=ut +1/2at
u=10 a= -2 t=1/2
what is the value of s
Answer: 4.5
Step-by-step explanation:
S= ut + 1/2(at)
S= 10(1/2) + 1/2(-2x1/2)
S= 5 + 1/2(-1)
S= 5 + (-.5)
S= 4.5
72.18 into like fraction
Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
Solve the inequality and graph the solution.
j/4>2
Answer:
J=8
Step-by-step explanation:
Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8
sorry if im incorect
Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?
Answer:
Step-by-step explanation:
Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%
So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....
Answer:
-5x+173
Step-by-step explanation:
x+4x+7 (sum of the 2 angles that you know)
5x+7
180-5x+7
-5x+173
Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.
Uh numbers the answer is numbers
Answer:
x = 228
Step-by-step explanation:
Set up a proportion
57 houses / 40 seconds = x houses / 160 seconds
Cross multiply
9120 = 40x
Divide both sides by 40 to isolate x
x = 228
I hope this helped and please mark me as brainliest!
A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?
Answer:
30 to 75, 30/75, 30:75
Step-by-step explanation:
