Answers
Answer:
15.2 , 21.5 , 27.9 , 29.5
Step-by-step explanation:
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Related Questions
in the expression of (x + 1)^n, the coefficient of the x^3 term is two times the coefficient of the x^2 term. Find the value of n.
Answers
According to Khayyam-Pascal triangle ,
the value of n is 8.
[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]
Recall the binomial theorem:
[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]
where
[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]
is the binomial coefficient. So
[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]
The x² term occurs for k = 2, which has coefficient
[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]
The x³ occurs for k = 3, with coefficient
[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]
The latter coefficient is twice the other one, so that
[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]
Solve for n :
[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]
[tex]n(n-1)(n-2)=6n(n-1)[/tex]
[tex]n-2=6[/tex]
[tex]\boxed{n=8}[/tex]
will mark brainliest
Answers
88 degrees.
Total measure of triangle's angles is 180 degrees.
angle <2 and 42 degrees are corresponding so <2 is also 42 degrees.
50 + 42 = 92.
180 - 92 = 88 degrees
If this helped, please mark branliest.
What is the pythagorean thereom? And how is it used to solve triangles
Answers
Answer:
Pythagorean Thereom is the method in which finds the lengths of each side of a triangle. The formula is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Each letter in the formula defines a certain side of a triangle.
The picture shown shows the sides of each triangle and how they correspond with the formula.
This helps solve triangles to find its sum, as well as, to figure out a side depending on what is given.
y=7 x=6 what is the value of y when x=12?
Answers
Answer:
Y = 14
Step-by-step explanation:
6 times 2 = 12
7 times 2 = 14
an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?
Answers
Answer:
69
\
Step-by-step explanation:
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?
Answers
You could do this two ways:
Divide 280 by the 8 months to get the original charge per month including the discount, which would be $35 per month. He would've been charged an additional $5 for every month, so add 5 to the 35 to get $40 per month.
He would've been charged an additional $5 for every month, so multiply 5 by 8 to get 40, then add that to 280 to get 320. That's how much he would've paid without the discount over 8 months. Divide that by the 8 months, and you get $40 per month.
Answer:
Step-by-step explanation:
280÷8=35+5=$40
Gamers charges $8 to rent a video game. The Discount Club charges $4 to rent a video game after a membership fee of $10 is paid. For what number of video game rentals is Gamers less expensive than Discount Club? Write an inequality that represents this situation. (do not solve) How did you determine which inequality symbol to use for the situation?
Answers
Answer
8x>10+4x for x=>3
Just two games.
for the third game you would have paid $24 in total
Step-by-step explanation:
Given that
gamers charge $8
Discount Club charges $4 after a membership of $10
total for the Discount club is given by the expression
let x be the number of games rent
Y=10+4
So at the first rent, you will pay Discount Club
$14 and the second rent you would have spent
14+4= $18
and the third rent you would have spent
18+4= $22
the inequality is given as
for x=>3
8x>10+4x
Find the value of x.
pls help will mark brainliest
Answers
Identify the domain and range of the following function:
{(8,7),(4,9),(0,0),(1,17)}
Answers
Answer:
Domain: 8,4,0,1
Range: 7,9,0,17
Solve: -(6x+ 8) = 4(17 - x) *
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = − 38
Step-by-step explanation:
Answer:
−38
Step 1: Simplify both sides of the equation.
−(6x+8)=4(17−x)
−6x+−8=(4)(17)+(4)(−x)(Distribute)
−6x+−8=68+−4x
−6x−8=−4x+68
Step 2: Add 4x to both sides.
−6x−8+4x=−4x+68+4x
−2x−8=68
Step 3: Add 8 to both sides.
−2x−8+8=68+8
−2x=76
Step 4: Divide both sides by -2.
−2x−2=76−2
x=−38
One angle of a triangle measures 40°. The other two angles are in a ratio of 5:9. What are the measures of those two angles?
Answers
Answer:
50 and 90
Step-by-step explanation:
(180-40)/(5 + 9) = 10
=> 50 and 90
A parent purchased a dictionary for $13.50 and a pack of printer paper for $4.50. The sales tax rate was 4%. What was the total bill, including the sales tax?
Answers
Answer:
C $18.72
Step-by-step explanation:
1. $13.50+$4.50= $18.00
2. $18.00* 4%=$0.72 sale tax
3. $18.00+$0.72= $18.72 your answer
Answer:
its c!
Step-by-step explanation:
$18.72
Find the rate. Principle= $50, Interest= $10, Time= 2½ years
Answers
Answer: It should be 50% or 0.5
Step-by-step explanation:
help pleaseeeeeeeeeeeeee now
Answers
Answer: per 1 ticket sold it costs 10 dollars
Step-by-step explanation:
1 and ten meet on the graph constantly
If 4 is added to double the number n, the result is the same as
if n were quadrupled. What is the value of n?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Answers
Answer:
A) 2
Step-by-step explanation:
For this problem, you can create an equation.
2n+4=4n
Then, divide by 2.
n+2=2n
Finally, subtract n from both sides.
2=n
8 + 6 + 12 = __ + 12 + 6
Answers
Answer:
The number 8 goes in the blank,
Step-by-step explanation:
Its basic commutative property.
Hope this helps!
PLEASE HELP!!!!!!!!!!!!!!!
Answers
Amber is traveling to he mom's house. The scale on the map is 2 inches=10 miles. She knows her mom lives 40 miles away. How far would that be on the map?
Answers
8 inches on the map. To approach this problem, just set up a proportion:
2in =10 mi x in =40 mi.
If we use that to set up an equation we get
80 =10x.
Solve that, you get 8.
Hope this helps, let me know if you need more help.
I dont quite understand how to do this
Answers
Answer:
10
Step-by-step explanation:
substitute -3 in for x
f(-3)=(-3)²+1=
9+1=10
(You can ignore the g(x) part - it has nothing to do with this question.)
EXTRA POINTS * how do you graph y=2x + 1
Answers
Step-by-step explanation:
first u need to pick a random coordinate to substitute the X . example 0
y = 2(0) + 1
y =1 , X= 0
X= 1
y= 2(1) + 1
y= 3, X= 1
then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.
I have a F in this class may someone help me..?
Answers
Answer:
x = -10
Step-by-step explanation:
9 x -10 = -90
9x=-90
-90/9= -10
Check:
-10 times 9= -90
22x^3 y^4+28x^2 y^5+34xy^4
Answers
Answer:
2xy4 • (11x2 + 14xy + 17)
Step-by-step explanation:
(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)
(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)
(((2•11x3) • y4) + (22•7x2y5)) + (2•17xy4)
5.1 Pull out like factors :
22x3y4 + 28x2y5 + 34xy4 = 2xy4 • (11x2 + 14xy + 17)
Trying to factor a multi variable polynomial :
5.2 Factoring 11x2 + 14xy + 17
Final result :
2xy4 • (11x2 + 14xy + 17)
State of the two triangles are congruent. if they are, state how you know.
Answers
Answer:
Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.
Step-by-step explanation:
PLEASE HELP ME ASAP I DONT WANT TO FLUNK MATH
Find the slope given these points:
(-8,4) & (-5,1)
A. -1
B. 1
C. 3/13
D. 5/13
Answers
Answer:
A:-1
Step-by-step explanation:
Solve the equation to find the value of a.
✓ 4a + 5 = 7
Answers
Answer:
0.5
Step-by-step explanation:
4a+5=7
4a=7-5
4a=2
a=2/4
Answer:
a = 1/2
Step-by-step explanation:
4a + 5 = 7
4a = 2
a = 1/2
Which property is illustrated by the following statement?
9a (bc) = (9a)bc
O A. Commutative Property of Addition
O B. Inverse Property of Multiplication
O C. Commutative Property of Multiplication
O D. Associative Property of Multiplication
Answers
Answer:
Associative Property
Step-by-step explanation:
The associative property states that it doesn't matter where the parenthesis are put, the answer will always be the same
Write and solve an equation to find your average speed in an airplane
if you flew 800 miles in 2.5 hours.
Answers
Answer:
320 miles per hour
Step-by-step explanation:
Speed=800miles/2.5 hours
320milesperhour
is the following graph a function?
A. yes
B. no
Answers
Answer:
Yes
Step-by-step explanation:
You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.
Pls help me with this question I give out 20 points
Answers
Answer:
55 dollars
Step-by-step explanation:
y = total cost, x = number of sessions attended
Non-members equation: y = 5x
Members equation: y = 3x + 25
y = 3(10) + 25
y = 30 + 25
y = 55 dollars
Hope this helps!
=55 dollars
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while. How many miles has the car traveled if it has 10 gallons of gas left in the tank?
Answers
Answer:
30
Step-by-step explanation: