Answer:
[tex]5^{th} term = 126a^5b^4[/tex]
Step-by-step explanation:
[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]
[tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]
[tex]5^{th} term = 126a^5b^4[/tex]
You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?
Answer:
You will pay $13.50 in interest and end up paying $238.50 total after the eight years
Step-by-step explanation:
225 x 0.06 = 13.5
225 + 13.5 = 238.5
Answer:
you pay 108 dollars after 8 years
PLS HELP ILL MARK BRAINLIST
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7
Answer:
a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7
Step-by-step explanation:
Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.
Find the measure of the missing angle.
123*
HELP ASAP
Answer:
57 degrees
Step-by-step explanation:
A line is always 180 degrees so you just subtract 123 from 180 which is 57
How many significant figures are in 0.0624000?
Answer:
Use notes and youll get an answer
Step-by-step explanation:
There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, what is the probability the student gets two questions correct? Express your answer as a percent rounded to the nearest tenth.
3.8%
18.7%
20.5%
16.9%
Answer:
[tex]20.5\%[/tex]
Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}[/tex],
The [tex]\frac{1}{5}[/tex] represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The [tex]\frac{4}{5}[/tex] represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): [tex]\binom{5}{2}=10[/tex].
Therefore, the probability the student gets two questions correct is:
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}[/tex]
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of square four is a² + b² + 2ab
How to calculate the area of square and triangleThe area of a square = l²
The Area so the two square = a² + b²
Area of the triangles = 4(0.5ab) = 2ab
Add the area together
Area of the square four = area of square + area of 4 triangles
Area of the square four = a² + b² + 2ab
Hence the area of the square four is a² + b² + 2ab
Learn more on area of square here: https://brainly.com/question/13389992
Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.
Answer:
Step-by-step explanation:
you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)
- 1 2 3 4 5 6
1 0 1 2 3 4 5
2 -1 0 1 2 3 4
3 -2 -1 0 1 2 3
4 -3 -2 -1 0 1 2
5 -4 -3 -2 -1 0 1
6 -5 -4 -3 -2 -1 0
The graph of a function is a line passes through points (6,20) and (8,42). What is the equation of this function?
Answer:
The equation would be y=mx+b so plugging in the slope which is, 11, so y=11x+b WE DO NOT KNOW THE Y INTERCEPT
Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
Answer:
I believe it is A I may be wrong
It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).
Since its getting dilated by 2 it will be getting bigger
What is the length of the hypotenuse?
A. 10
B. 14
C. 48
D. 100
Option A= 10
ProcessUsing Pythagoras Theorem,
8²+6²= (hypotenuse)²
64+36= (hypotenuse)²
(hypotenuse)²= 100
hypotenuse= √100
hypotenuse= 10
So Option A= 10
Hope This Helps You ❤️Answer:
The hypotenuse is A. 10.
Step-by-step explanation:
To find the length of hypotenuse we can use the pythagoras theorem formula:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]=>6^{2} +8^{2} = c^{2}[/tex]
[tex]=> 36 + 64 = c^{2}[/tex]
[tex]=> 100 =c^{2}[/tex]
[tex]=> c = \sqrt{100}[/tex]
∴ [tex]c[/tex] [tex]= 10[/tex]
What does this mean <_ but the line under it
Answer:
it means less than or equal to :)
Step-by-step explanation:
Find y.
Write your answer in simplest radical form.
Answer:
y = 6
Step-by-step explanation:
in a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] multiplied by the side across from the 45° angle
the price p of an aluminum tube is jointly proportional to its radius r and the length l. if a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius?
Answer:
4725 pesos
Step-by-step explanation:
The price p of an aluminum tube is jointly proportional to its radius r and the length l.
For joint variation, we have the expression:
p ∝rl
Hence
p = krl
Step 1
Solving for k
if a 12-foot pipe with 5-inch radius costs 5250 pesos,
5250 = k × 12 × 5
5250 = 60k
k = 5250/60
k = 87.5
Step 2
how much will be the cost of a 9-foot pipe with a 6-inch radius
We make use of the expression:
p = krl
p = 87.5 × 9 × 6
p = 4725 pesos
Therefore, the cost is = 4725 pesos
Help!! Please
I need the simplified form
Answer:
1/2
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answer:
Step-by-step explanation:
angle 1=130 degree(being alternate angles)
angle 2=50 degree
angle 2 +130=180 degree(being co interior angle)
angle 2=180-130
angle 2=50 degree
Answer:
m<1 = 50
m<2 = 130
Step-by-step explanation:
From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.
To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.
180 - 130 = 50
So m<1 = 50
vol is always measured in square units true false
Ayaan does push-ups and sit-ups every morning. He does p push-ups and 2p + 5 sit-ups. Which statement describes the number of sit-ups Ayaan does every morning?
The number of sit-ups is 5 more than twice the number of push-ups he does.
The number of sit-ups is 5 more than half the number of push-ups he does.
The number of sit-ups is 5 fewer than twice the number of push-ups he does.
The number of sit-ups is 5 fewer than half the number of push-ups he does.
Answer:
A. The number of sit-ups is 5 more than twice the number of push-ups he does.
Step-by-step explanation:
Expressions:
p = push-ups done
2p + 5 situps = total situps
2p means that he does twice the amount of situps than he did as pushups.
+ 5 situps means that he does an extra 5 situps
sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!
Answer:
(1/2)^2= 0.25 thank you
What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box
6/12
- 1/12
= 5/12
6 - 3 = 3
= 3 5/12
Convert 3.12 mm into cm, m and km.
Step-by-step explanation:
to cm = 3.12×100 = 312
to m = 3.12×1000 = 3120
:) HOPE THIS HELPS YOU
-5+9j=67
Please help me with math!
Answer: j=8
Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8
Eddie needs to paint a fence which has 10,000 square feet of surface. One gallon of paint covers 600 square feet.
How many whole gallons of paint will he need?
Answer:
17
Step-by-step explanation:
10000/600=16.67
Find the total pay for biweekly at $9.50 per hour
how many hours do they work? Please be more spesific
Answer:
The answer is 760
Step-by-step explanation:
If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.
Rowena and Arlene are going to make a triangular path in her garden. The sides will be 20 feet, 36 feet, and 18 feet. What is the total length of the path? Answer the questions that follow using AGONSA.
Answer: 74feet
Step-by-step explanation:
In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.
It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:
= 20ft + 36ft + 18ft
= 74ft
The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Rowena and Arlene are going to make a triangular path in her garden.
The sides will be 20 feet, 36 feet, and 18 feet.
The length of the path is given by the perimeter of the triangle. Then we have
Length of path = 20 + 36 + 18
Length of path = 74 ft.
More about the triangle link is given below.
https://brainly.com/question/25813512
PLEASE HELPPP PLEASEE
Answer:
Step-by-step explanation:
yes
If ABC is 160, what is DBC?
D
(X + 15)
A
(3x + 25)
B
A. 160
O B. 115°
C. 30
D. 45
Answer:
B is the answer
Step-by-step explanation:
2.5x + 1 = 26 help hurryyyyyyyyy!!!!?!?!??!?!?!
Answer:
2.5x=26-1
x=25/2.5
x=10
Step-by-step explanation:
Answer:
I assume you're solving for x, so the answer is 10
Step-by-step explanation:
First you isolate the x, so you need to subtract one from both sides, which results in the equation 2.5x = 25, and then you divide 25 by 2.5, which gives you x = 10
Svp aidez moi )
Un père a 42 Ans et sa fille 12 Ans
On veut trouver la réponse à cette question : dans combien d’années l’âge du père sera t-il le triple de celui de sa fille ?
Answer:
Dans 3 ans l’âge du père sera le triple de celui de sa fille
Step-by-step explanation:
X= années qui doivent passer
3(12+X ) = 42 +X
36+ 3X = 42 +X
2X = 6
X = 3
La fille 15 ans
Le père 45 ans (15x3=45)
You roll two six-sided dice. What is the probability that the sum will be even or a multiple of five? Round your answer to the nearest tenth of a percent.
Answer:
0.51
Step-by-step explanation: