Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Help THIS IS DUE IN LESS THAN A HOUR
Take that back, please delete this question.
Answer:
i beleive its b or d
Step-by-step explanation:
mostly b
solve.
5-(x-6)=-7+3(-x+2)
Answer:
x=-6
Step-by-step explanation:
For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.
Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.
solve the equation. 4.6g +9+1.6g +21 what is g
Answer:
= 6.2g+9
Step-by-step explanation:
.4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??
I Will Give You 10 Points
Answer:
0
Step-by-step explanation:
The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.
What is the value of the expression (x – 2y) (x + 2y) when x= 4 and y=1/2
Answer:
15
Step-by-step explanation:
First you would plug in the 4 and 1/2 in the x and y's places, making the expression (4 - 2 (1/2))*(4 + 2 (1/2). Then you solve (below).
(4 - 2 (1/2))*(4 + 2 (1/2)
(4 - 1)*(4 + 1)
(3)*(5)
15
Hope this helped! If you have any questions, feel free to message me :)
1/3 kilograms 2/3 what is the unit rate
320÷b∙20 and 320÷(b∙20) for b=4
Answer:
Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y
step explanation:
Please help I need to get this answered!
Answer:
4 1/9
Step-by-step explanation:
so if we make the fraction the same having 7 4/9 and 3 1/3
we would then make 1/3 into 3/9 (its the smae thing not simplified)
subtract 7-3=4
4-3=1
and then simplify the fraction
WILL MARK BRAINLIEST PLZ ANSWER FAST GUYS AND GIRLS. Don't mind the second question. You can answer it if you want that will help me.
Answer:
1. 10d + 5n = 85
2. look at graph or graph coordinates (0, 17) and (8.5, 0) and make a line through them
3. 17 nickels since its only nickels, on the graph you see where the line hits the y-axis which is 17.
4. 8.5 dimes since its only dimes, on the graph you see where the line meets the x-axis which is 8.5
Step-by-step explanation:
y-axis is nickels
x-axis is dimes
What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns
Answer:
D. Look for patterns
Step-by-step explanation:
To solve :
Assume number of apples bought = x
Fraction kept = 1/3 of x
Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2
Total number shared = 4 * 2 = 8
Fraction shared = total shared
2x/3 = 8
Multiply both sides by 3
(2x/3) * 3 = 8 * 3
2x = 24
x = 12
Hence, Anne-Marie purchased 12 apples
A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.
Answer:
The speed increases (45—>47—>49) then decreases (48—>47) over time.
Step-by-step explanation:
HOPE THIS HELPED ✨
Answer: The speed increases (45—>47—>49) then decreases (48—>47) over time.
Solve [X + 8) = 5
With steps
Answer:
X=(-3)
Step-by-step explanation:
1.Subtract 8 from both sides of the equation.-(x+0)=5-8-the 0 is there because the 8 on the left side is canceled out.
2.5-8 is all you have to look at.-when you look at this you know that it will be negative because 8 is on the right of the minus sign and it is greater than 5.
3.Use a calculator or you fingers to find answer.-(4,3,2,1,0,-1,-2,-3)
HOPE THIS HELPS!!!
HELP BAD DAY
Write as an expression:twice the product of the squares of x and y
with the product of the cube of a and the square of b
Answer:
the square root of 2(x^3 * x^2)
Step-by-step explanation:
twice means 2 and product means either division or multiplication (multiplication in this scenario because twice means multiply). cubed means to the third power
25-2z-10z=-3(4z+8)-1
solve and how many solutions ?
Answer:
No Solutions
Step-by-step explanation:
Step 1:
25 - 2z - 10z = - 3 ( 4z + 8 ) - 1 Equation/Given
Step 2:
25 - 12z = - 12z - 25 Combine Like Terms/Multiply
Step 3:
25 = - 25 Add 12z on both sides
Answer:
No Solutions
Hope This Helps :)
Help it’s homework!!!!
Answer:
(3x - 3)(x + 2)
Step-by-step explanation:
3x^2 + 3x - 6
(3x^2 + 6x)(-3x - 6)
3x(x + 2) -3(x + 2)
(3x - 3)(x + 2)
Twice a number increased by 4 is at least 10 more than the number
Answer:
the twice as number increased by 4 is at least 10 more than a number .
2x + 4 ≥ x + 10
x ≥ 6
Step-by-step explanation:
Mark Brainliest
Answer:
2n+4 >= 10 + n
Step-by-step explanation:
solve for n , but remember the rules of dealing with inaqualities
What is the pyhtagoream thereom and how can you use it to slove right triangles
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
a is one leg of the right triangle.
b is another left of the right triangle.
c is the hypotenuse of the right triangle.
We use the Pythagorean Theorem to help us solve for missing side lengths of a right triangle.
how do you solve u = 3a/2 solving for a
Answer:
Step-by-step explanation:
a=2a/3. ✌️
P(5. - 5), y=3x+3
Write an equation for the line in point-slope form
Answer:
M= 3
Step-by-step explanation:
l2ecdnienofnweucon fuovnewdionsdv wqueijncqodi
Answer:
y+5 =3(x-5)
Step-by-step explanation:
The point slope form of an equation is : y-y₁ = m(x-x₁)
Given in the question ;
x₁= 5
y₁ = -5
y= 3x+3 where m=3
The equation is :
y-y₁ = m(x-x₁)
y--5 =3(x-5)
y+5 =3(x-5) ----equation of the line in point-slope form.
What is the y intercept of this graph?. What is the slope?
Answer:
y intercept is -3
slope is 4
y=4x-3
Step-by-step explanation:
The difference between a number x and 3 is at least nine Write an inequality for the following sentence.
Answer:
3 - x ≥ 9
Step-by-step explanation:
At least in inequality means greater than or equal to (≥)
Difference in mathematics means subtraction
The difference between a number x and 3
3 - x
is at least nine
3 - x ≥ 9
The inequality for the sentence is
3 - x ≥ 9
Answer please 1st and second
Filling up a tank of gas costs $36.96. If the tank holds 16.5 gallons of gas, then how much d
each gallon cost?
Answer:
$2.24 per Gallon
Step-by-step explanation:
36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.
The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard
deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?
Answer: $98,835.
Step-by-step explanation:
Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard deviation([tex]\sigma[/tex]) of $23,000.
Let [tex]x[/tex] denoted the profit.
Let [tex]x_0[/tex] be the minimum profit required to have a party.
The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.
i.e. [tex]P(x>x_0)=0.05[/tex]
[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]
Hence, the annual profit required to have a party was $98,835.
Find the equation of the line that passes through (2,8) and (6,48)
Answer: m = 10
.........................
What is the missing reason in the proof?
given
transitive property
alternate interior angles theorem
converse alternate interior angles theorem
Answer:
c, alternate interior angles theorem
Step-by-step explanation:
if 1 is equal to 3, and 3 is equal to 2 by alternate interior angles theorem, then that should also apply to angle 1.
15 points!
What is the correct answer for Claire's problem? Explain where she went wrong.
Answer:
it would be y=50+25x
Step-by-step explanation:
There is an extra $25 per room, and since we dont know how many rooms she has cleaned, we can use x to represent that amount. So for x amount of rooms, it will be an extra $25
Solve the equation given
x = - 4.
5 = x + 9
Answer:
x=-4
Step-by-step explanation:
You wrote the answer in the question, so there is really no question.
How it helps :)
Lincoln Cook has a check for $295.50 and a check for $6.25. He also has a $10.00 bill
He would like to receive $5.00 in cash and deposit the rest of the money in his say-
ings account. What is the total deposit?
Step-by-step explanation:
First, we need to add all the checks and money he has.
295.50
10.00
6.25
+________
3 6 1 . 7 5
Total- $361.75
Now, we have to subtract 5 from this.
361.75
5.00
-______
3 5 6 . 7 5
The total deposit is $356.75
Answer:
$306.75 is the right answer i just took the test.
Step-by-step explanation:
Help please
And thank you so much
Answer:
$0.1 /lb.
Step-by-step explanation:
First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.