The expression used to represent the binomial theorem example is equal to ( 5 + 0.1 )⁴ .
As given in the question,
Example used to represents the binomial theorem is written as:
( 5 + 0.1 )⁴
Compare it with standard form and apply binomial theorem to simplify the considered example:
( a + b )ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+ ⁿCₙa⁰bⁿ
Here in the considered example :
value of a = 5
value pf b = 0.1
value pf n = 4
Substitute the value in the formula to get the value using binomial theorem:
( 5 + 0.1 )⁴
= ⁴C₀5⁴(0.1)⁰ + ⁴C₁5⁴⁻¹(0.1)¹ + ⁴C₂5⁴⁻²(0.1)² + ⁴C₃5⁴⁻³(0.1)³ + ⁴C₄5⁴⁻⁴(0.1)⁴
= 5⁴ + 4(5)³(0.1) + 6(5)²(0.1)² + 4(5)(0.1)³ + (0.1)⁴
= 625 + 50 + 1.5 + 0.02 + 0.0001
=676.5201
Therefore, the example of the binomial theorem is given by ( 5 + 0.1 )⁴.
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In Exercises 10 and 11, the polygons are similar. Find the value of x.
Answer:
10) x/6 = 4/8
8x = 6 x 4 = 24
x = 3
11) x/15 = 12/8
8x = 15 x 12 = 180
x = 22.5
Can someone help me What is 20% of 56?
Help fast pls I need to pass
Answer:
help with what? you can tell me and I would be glad to answer.
Step-by-step explanation:
Which of the following is a decreasing function?
y = 3(2)^x
y=2(1)^x
y=-3(1)^x
A fish tank at a hatchery contains 25 fish. The histogram below shows the number of fish organized by weight rounded to the nearest whole ounce. One fish is taken from the tank at random. What is the probability the fish weighs at least 12 ounces?
Answer:1/5
Step-by-step explanation:
The probability the fish weighs at least 12 ounces is 1/5. Probability has several uses in games.
What is probability?The chances of an event occurring are defined by probability. Probability has many uses in games, in business to create probability-based forecasts.
The given data in the problem is;
A fish tank at a hatchery contains = 25 fish
Fish weighs at least 12 ounces=5
probability the fish weighs at least 12 ounces=?
The probability the fish weighs at least 12 ounces is ;
[tex]\rm P = \frac{Favourable \ event }{Total\ event} \\\\ \rm P = \frac{5}{25} \\\\ P=\frac{1}{5}[/tex]
The probability the fish weighs at least 12 ounces Will be 1/5.
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An item costs $370 before tax, and the sales tax is $14.80.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
370.00x4%=$14.80
Write 6431 to the nearest thousand.
the answer is 6430
Answer:
the nearest thousand would be 6000
Step-by-step explanation:
above 6500 would have been 7000
Answer:
6000
Step-by-step explanation:
At the talent show, dancers outnumber singers by a ratio of 13 to 7 If there are 52 dancers at the talent show, how many singers are at the talent show?
Answer:32
Step-by-step explanation: 52-20
The number of boys exceeded the number of girls by seven. There were 29 boys and girls. How many of each were there?
Answer:
Girls: 11
Boys: 18
Step-by-step explanation:
x: number of girls
x+x+7=29
2x=22
x=11
number of guys:
x+7=11+7=18
If correct ill give brainlist
Answer:
x> y-300/12
Step-by-step explanation
1. Subtract 300 from both sides
2. Divide both sides by -12
3. Switch the sides
Describe the likelihood of the following statement.
You find two parallel line that intersect.
please answer :) I have 7 I need somebody to answer 8 it is a 2 part question!
Answer:
question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.
question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.
Step-by-step explanation:
Which one do i chose?
Answer:
choose the third one because a third one look like talking about the degrees and length
1/2 x 12 divided 2 - 2 +11
Please leave a explanation
Answer:
12
Step-by-step explanation:
1/2*12=6
6/2=3
11+2=13
13-3=10
10+2=12
P.E.M.D.A.S
Hope this helps!
Answer:
12
Step-by-step explanation:
Multiply 1/2 by 12 and get 6, divide 6 by 2 and get 3, 3-2 is 1, then add 1 and 11 to get the answer 12
Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
Answer:
Adjacent
x = 14
Step-by-step explanation:
Find the diagram attached
Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.
The sum of angle on a straight line is 180 degrees, hence;
5x + x+ 96 = 180
6x = 180 - 96
6x = 84
x = 84/6
x =14
The value of x s 14
Which items are examples of natural resources? Check all that apply.
A. lumber
B. beef cattle
C. human labor
salt
D. dairy farm
ITS MULTIPLE CHOICE
Answer:
A, Salt
Step-by-step explanation:
Natural Resources
Answer: A and D
Step-by-step explanation:
Write and evaluate two equivalent numerical expressions that show Distributive Property of Multiplication
Answer:
2(x+5) = 2x+10
Step-by-step explanation:
I'm assuming you can use any possible combination of two equivalent numerical expressions for your question.
2(x+5) = 2x+10
2 times x is 2x. 2 times 5 is 10. So, you get 2x+10
The distributive property of multiplication involves taking the product a certain value and another variable joined by either an addition or subtraction operator.
3(x + 5) = 3x + 15For instance :
a(b + c) = a×b + a×c = ab + ac
The expressions below shows distributive property of multiplication :
3(x + 5) and 3x + 15 exhibits the distributive property of multiplication.
3(x + 5)
Opening the bracket :
3×x + 3×5 = 3x + 15
Hence,
3(x + 5) = 3x + 15
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which equation represents the tape diagram?
Answer:
25= 10+w
Step-by-step explanation:
Ten and w add up to 25 so yeah
Answer:
A and C
Step-by-step explanation:
25-w=10
and
25-10=w
I dont know why its both but it is
since multiplication is implied algebra we often don’t need to actually write the
times symbol ‘×’. Re-write this algebraic
equation without the times symbol.
a × b = 4 × c
hows is ur day going and ik how many points im giving away
Answer:
It's going good!!
I took like 3 tests today.
How's your day going? :))
what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%
Answer:
about $84.47
Step-by-step explanation:
6.5%=0.65
129.95x0.65=84.4675
=84.47
In a circle with radius 2, an angle measuring 3pi/4 radians intercepts an arc. Find the
length of the arc in simplest form.
Answer:
2
Step-by-step explanation:
2 plus 2 equals 4 so thats you answer god bless you
FIRST ONE TO AWNSER AND IF CORRECT GETS BRAINLYIST AND 50 POINTS!!!!!
Malik asked his teacher if there was a way to check his answer after writing equivalent expressions. What should be his teacher’s response?
A. Choose a number to substitute for the variable. Find the value of each expression. If the values are even, the expressions are equivalent.
B. Substitute a number for the variable. If the simplified expressions have the same value, the expressions are equivalent.
C. Multiply each expression by the same number. If the expressions are equal, the expressions are equivalent.
D. Add a number to each expression. If the simplified expressions are equal, the expressions are equivalent.
Answer:
the answer would be A ? ig
What is an equation of the line that passes through the point -5,7 and is parallel to the line x-5y=15
Answer:
Step-by-step explanation:
Let line to be found be Line 2
Given:
Line 1
x - 5y = 15
x - 15 = 5y
Therefore slope = 1/5
Line 2
Point = (-5,7)
Slope = 1/5
Therefore: 7 = (1*-5)/5 + c
=> 7 = -1 + c
=> c = 8
Therefore equation: y = x/5 + 8A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm.
How long will it take to fill the cone?
Use 3.14 to approximate pi.
Enter your answer in the box.
min
Answer: If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes.
Step-by-step explanation:
Answer:
400 min
Step-by-step explanation:
Took the quiz
What is the volume of the right rectangular prism with a length of 2 mm a width of 4 mm and a height of 8 mm
Answer:
2 x 4 x 8 = 64
Step-by-step explanation:
Multiply all given lengths when finding the volume of a rectangular prism.
Mhanifa or Anyone Answer this PLZZZZZZ
Answer:
1 ABCD = 3 PQRS
Step-by-step explanation:
Given:
ABCD = PQRS
AD = PS
DC = SR
AD = PS
6 : 18
1 : 3
DC = SR
9 : 27
1 : 3
So,
1 ABCD = 3 PQRS
what is the equation of this graph?
a) y=-1
b) x=-2
Answer:
a) y=-1
Step-by-step explanation:
Graph is intersecting y-axis at (0,-1)
So equation of the graph is y = - 1
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Use the slope and y-intercept to write an equation for the red cab.
Answer:
y = 1/4x + 6
Step-by-step explanation:
For the red cab:
Points on the graph: (0, 6) and (8, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-6)/(8-0)
m=2/8
m= 1/4
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 1/4(x - 0)
y - 6 = 1/4x
y = 1/4x + 6
Answer:
y = [tex]\frac{1}{4} x[/tex] + 6
Step-by-step explanation:
The slope can be determined by taking any two random pair of points on the red line.
For example, (0,6) and (4,7)
m = y2-y1 / x2-x1 = 1/4
Your y intercept is where your line intersects on the y axis. Here, it is at y = 6.
Now, you have the slope and y intercept to write the equation of the red cab.
y = [tex]\frac{1}{4} x[/tex] + 6
factor completely
p^2+7p+10
Answer:
p2+7p+10 = (p + 5)(p + 2)
Step-by-step explanation: