Answer:
128189196964136363133131267217131394450
Step-by-step explanation:
hope this is helpful
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
if u drove 45 miles in 75 min how many miles did u drive per min
Answer:
11.25
Step-by-step explanation:
i hope this is right sry if its not tho
Answer:
How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.
Step-by-step explanation:
All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220
Answer:
1225
350/2=175
175 x 7 = 1225
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
What equation represents this sentence?
0.8 increased by a number is 4.5.
4.5 + n = 0.8
0.8n = 4.5
0.8 + n = 4.5
4.5n = 0.8
hurry ill give brainliest
Answer:
It is 0.8 + n = 4.5 that is the right answer
Answer: 0.8 plus n equals 4.5
Step-by-step explanation:
-2 1/4 x -4/5
please help
Answer:
1.8
Step-by-step explanation:
-2 1/4 x -4/5 = 9/5
= 1 4/5
= 1.8
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
clara has a positive acceleration for 5 minutes
Answer:
The answer is C.
Step-by-step explanation:
If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
Help me with this question please!! Show all work
Answer:
439
Step-by-step explanation:
The denominator simplifies to 106/15
The question becomes
3+1/(106/15)=3+15/106=333/106
Therefore m+n=439
What is the value of the rational expression 6-x/x+5 when x = 2?
4/7
4/5
8/7
8/5
Answer:
4/7
Step-by-step explanation:
6 -2/2+5 = 4/7
thats it simple
Answer: 10
Step-by-step explanation:
6-x/x+5
6-(2)/(2)+5
Order of Operations
6-1+5
5+5
10
What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
Determine the equation of the circle graphed below
Answer:
(x-3)^2+(y-5)^2=3^2
Step-by-step explanation:
Which expression is equivalent to (-x-16)
-x-16?
X-+16
-X+16
X-16
Answer:
- x - 16
Step-by-step explanation:
Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity
A. 21=21
B. If k=15 and 5 = 3m. Then k = 3m
C. 7+4=4+7
D. 9x0=0
E. 4+0=4
F. (5x3)x4=5x(3x4)
G. 10x3=3x10
H. 19x1=19
I. 8x1/2=1
J. If 11 = y then y = 11
K. (6+2) + 1 = 6 + 2 + 1
L. 2+(2-)=0
1. Commutative property of multiplication = G. 10x3=3x10
3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)
4. Associative property of multiplication = F. (5x3)x4=5x(3x4)
5. Symmetric property = J. If 11 = y then y = 11
6. Reflexive property = A. 21=21
7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m
8. Zero property of multiplication = D. 9x0=0
9. multiplicative inverse = I. 8x1/2=1
10. Zero property of multiplication = L. 2+(2-)=0
11. Additive identity = E. 4+0=4
12. Multiplicative identity = H. 19x1=19
Hope this helps!
Answer:
Step-by-step explanation:
G. 10x3=3x10 1. Commutative property of multiplication
3. Associative property of Addition
F. (5x3)x4=5x(3x4) 4.Associative property of multiplication
J. If 11 = y then y = 11 5. Symmetric property
A. 21=21 6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
D. 9x0=0 10. Zero property of multiplication
E. 4+0=4 11. Additive identity
H. 19x1=19 12. Multiplicative identity
B. If k=15 and 5 = 3m. Then k = 3m This statement is not true.
This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.
C. 7+4=4+7 This is commutative property of addition, which is not listed above
I. 8x1/2=1 This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.
K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.
Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.
L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.
what is the slope of (-1,6) and (2,3)?
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]
[tex] \implies \mathsf{ - 1 }[/tex]
Hence, the slope of the line joining the given points is -1.
Answer:
-1
Step-by-step explanation:
can someone help me with these 2 questions?
Answer:
5. 8 months
6. 13 pencils
Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.
Answer:
$16000Step-by-step explanation:
Initial value is x, current value is $13600, price reduction by 15%.
x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000What are the zeros of the function
f(x)=x^2+2x-8
Answer:
-4, 2 (-4,0) (2,0)
Step-by-step explanation:
factoring in binomials
[tex](x+4)(x-2)=x^{2} +2x-8[/tex]
The zeros:
[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]
[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]
I hope this help you
Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?
Answer:
7 students had SnickersStep-by-step explanation:
Nestle Crunches - nSnickers - sSystem of equations according to given:
30n + 50s = 680 (converted $6.80 into 680¢)n = s + 4Substitute n into first equation and solve for s:
30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7Equations are
0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]EQUATION(2)× 30
[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]
Subtracting (1) and (3)
[tex]\\ \sf\longmapsto 80y=560[/tex]
[tex]\\ \sf\longmapsto y=7[/tex]
What is the slope of the graph of the given line?
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?
the value of √-3+√3+8√7+4√3
13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answer:
use the Microsoft world language to define noun phrases and figure of speech
In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?
pls answer 4th and 5th question . i do not understand
Step-by-step explanation:
4) total length of the journey is
1st hr = 74km 224m = 74224m
2nd hr = 74km 224m = 74224m
3rd hr = 58km 56m = 58056m
4th hr = 62km 8m = 62008 m
total distance (adding all) = 268512m = 268km 512m .
5) total weight = 22kg 200g = 22200g
mangoes weight = 14kg 750g = 14750g
apples weight = 5kg 80g = 5080g
total weight - fruits weight
(22200-14750-5080)g
= 2370g
= 2kg 370g.
hope this helps you.
25 + 100 = ?
Can You Answer
[tex] \: [/tex]
[tex] = 125[/tex]
Step-by-step explanation:
[tex]25 + 100 = ?[/tex]
need to add these numbers so we can get the solution[tex]25 + 100 = 125[/tex]
there you go , we have a solutionhope it helps[tex] \: [/tex]
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.