Answer:
[tex]The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
Step-by-step explanation:
[tex]\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
The given expression is:
[tex](a+b)^9[/tex]According to the question,
→ [tex]\binom{9}{1} = \frac{9}{1}[/tex]
[tex]= 9[/tex]
→ [tex]\binom{9}{2} = \frac{9\times 8}{2\times 1}[/tex]
[tex]= \frac{72}{2}[/tex]
[tex]= 36[/tex]
Now,
→ [tex](a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9[/tex]
hence,
The third term is "[tex]36a^7b^2[/tex]".
Thus the approach above is appropriate.
Learn more about expansion here:
https://brainly.com/question/5193745
Simplify the expression 5(8-m)
Answer:
5(8-m)
5 x 8 = 40
5 x m = 5m
40-5m
Step-by-step explanation:
If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
210
240
300
360
Answer:
how many miles did she travel each hour? Then I can answer your question
which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?
Answer:
hanging the radius by a given amount has a greater effect on the volume than changing the height by the same amount. This is because the value of the radius is squared in the formula.Step-by-step explanation:
What is the value of the expression -11 + 24 + (-32)
Answer:
-19
Step-by-step explanation:
Just used the calculator, hope this helps
Answer:
-19
Step-by-step explanation:
You can split the equation into two steps:
1. - 11 + 24. You can also flip around the terms and get 24 - 11. 24 - 11 = 13 so - 11 + 24 = 13.
Next -
2. 13 + (-32). When you are adding a negative number, it is the same as subtracting the positive of that number, so we can turn the equation into 13 - 32. 13 - 32 = -19
:)
w
Z
х
Z is in the interior of ZWXY.
If m2WXZ= 110°, and m2ZXY = 20°,
what is m2WXY?
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Answer:
130°
Step-by-step explanation:
The angle sum theorem applies.
∠WXY = ∠WXZ +∠ZXY
∠WXY = 110° +20°
∠WXY = 130°
five friends are sharing 2.5 pizzas. how much pizza does each person get?(will give branlist)for 10 points
Answer:
2 slices
Step-by-step explanation:
please mark brainliest
( using the quadrata formula solve 282 +15% +750
Step-by-step explanation:
Q.282 +15% +750
282 +15 /100+750
282+3/20+750
1032+3/20
20643/20
A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and
M(-1,-1). There is an entrance to the park at the midpoint of each side of the park. A straight path
connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane
represents 10 meters, what is the total length of the paths to the nearest meter? Round your answer to
the nearest whole number.
The total length of the paths is approximately
meters.
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Answer:
83 m
Step-by-step explanation:
The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...
8.26(10 m) = 82.6 m ≈ 83 m
_____
The distance formula will tell you the distances are ...
AC = √(3² +1²) = √10
BD = √(5² +1²) = √26
The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.
2^-5/-4^3
with work please
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Answer:
-1/2048
Step-by-step explanation:
The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.
= (1/32) / (-64)
= -1/(32·64) = -1/2048
__
You can also rewrite the expression in terms of powers of 2.
2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11
= -1/2048
_____
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
4 = 2^2
2^5 = 32
4^3 = 64
Find the midpoint of the line segment joining the points (5,6) and (-1,-6).
The midpoint is
(Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)
Answer:
The midpoint is (2,0)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
(5+-1)/2 =4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(6+-6)/2 =0/2 =0
The midpoint is (2,0)
These two figures are the image and pre-image of a
dilation.
Answer:
I believe it is 8m
Step-by-step explanation:
because 4 went up 2 so that is now 6 so if 6 goes up 2 then it would be 8
2. Find the measure of each exterior angle of regular polygons (any two). (2x2=4).
(a) Pentagon (b) Heptagon (C) Decagon (d) 18-gon (e) 20-gun
Answer:
a) 72
b) 60
c) 51.43
d) 24
Step-by-step explanation:
The measure of each exterior angle of a regular polygon =
n
360
⇒ The measure of each exterior angle of a regular pentagon =
5
360
=72
⇒ The measure of each exterior angle of a regular hexagon =
6
360
=60
⇒ The measure of each exterior angle of a regular heptagon =
7
360
=51.43
⇒ The measure of each exterior angle of a regular polygon of 15 sides =
15
360
=24
What is the value of x?
Enter your answer in the box.
Answer:
angels on a triangle = 180°
so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)
and that's your answer
Find the distance between X (-3,8) and Z (-5,1). Round to the nearest tenth if necessary.
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Answer:
7.3
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-5-(-3))² +(1 -8)²) = √((-2)² +(-7)²) = √(4+49) = √53
d ≈ 7.28011 ≈ 7.3 . . . units
XZ ≈ 7.3
Answer:
the correct answer is 7.3 units
Step-by-step explanation:
Find the distance between the pair of points. Round your answer to the nearest tenth if necessary.
Answer:
The distance between the pair of points is 12.0 (to the nearest tenth)
Step-by-step explanation:
The distance between a pair of points in a coordinate system is found by the formula:
d =[tex]\sqrt({x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where, the points are:
[tex](x_1,y_1)\ and\ (x_2,y_2)[/tex]
From the graph,
[tex](x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)[/tex]
Substitute the points into the formula:
[tex]d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0[/tex]
Let's suppose we conduct a hypothesis test about the mean value of something, and determine that we should reject the null hypothesis. What does that mean?
a. Our hypothesized mean has been proven incorrect
b. The difference between our sample mean and our hypothesized mean was most likely due to random chance.
c. The difference between our sample mean and our hypothesized mean was statistically significant.
d. The difference between our sample mean and our hypothesized mean was not statistically significant.
Answer: Choice C.
The difference between our sample mean and our hypothesized mean was statistically significant.
=========================================================
Explanation:
The null hypothesis is always set up in a way to state the following: "The mean mu is equal to some value"
The mu is a greek letter often used as the population mean symbol. The actual symbol itself looks like this [tex]\mu[/tex]
When we reject the null, we reject the idea that the mu is whatever stated value we said in the null. So we must go with the alternative hypothesis.
The sample mean we computed (xbar) is different enough from the mu value that we're able to make such a rejection. We consider this statistically significant, which is another way of saying that such a difference is not simply due to random chance.
Write an equation that I can find the value of X
2.Find the Value of X
3. Find the length of MP
4.Find the length of NP
Answer:
SEMOGA JAWAPAN INI DAPAT MEMBANTU
7X +6 equals 4X +9 what is the value of X
Answer:
the answer is 1.
Step-by-step explanation:
Try and plug in 1 as in x it would come out with equal to b0th sides
Answer:
x = 1
Step-by-step explanation:
7x + 6 = 4x + 9
3x = 3
x = 1
Rt+Rs=st solve for s
Simplifying Rs = st + -1Rt Solving sR = st + -1tR Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1st' to each side of the equation. sR + -1st = st + -1st + -1tR Combine like terms: st + -1st = 0 sR + -1st = 0 + -1tR sR + -1st = -1tR Combine like terms: -1tR + tR = 0 sR + -1st + tR = 0
s = − Rt / R − t
I hope this helps!
If a:b=b:3=3 then find the value of a.
Answer:
b:3=3
⇒b=1
a:b=3
⇒a:1=3
⇒a=1/3
Step-by-step explanation:
how can you find out the mass of a marble
how dose the maping diagram of a function differ from a mapping diagram of a function
Answer:
A function assigns only output to each input. A mapping diagram can be used to represent a relationship between input values and output values. ... A mapping diagram represents a function if each input value is paired with only one output value.
How many distinct prime factors are in the number 120 ?
Answer:
3.
Step-by-step explanation:
Note the prime factorization of 120,
[tex]120=2^3\times 3\times 5[/tex]
Therefore, there are 3 distinct prime factors, namely 2, 3 and 5.
“If a population is growing at a rate of 3% per year, how long will it take to double? Show work.”
Thank you!
Write each decimal as a percent and a fraction -0.04
Answer:
-4% -1/25
Step-by-step explanation:
To convert a decimal to a percentage, multiply it by 100.
-0.04 * 100 = -4
To convert a decimal to a fraction, put the decimal as a fraction over 1 and multiply until the numerator (top number) is a whole number and then simplify.
[tex]\frac{-0.04}{1}[/tex] x [tex]\frac{100}{100}[/tex] = [tex]\frac{-4}{100}[/tex]
-4/100 simplified = -1/25 (because 4 goes into 100 25 times)
How many trucks will pass Luann if 90 vehicles passed her??
Answer:
90????
Step-by-step explanation:
is this a tongue twister or what??
Pllllzzzz heeeelllppp
Answer:
a. circumference
b. area
c. area
d. circumference
Step-by-step explanation:
a. You are using the circumference formula to find the distance around a CIRCULAR track, if you used area, that would include the space in between the track as well. You are only trying to find the track line. ( you can draw a picture of a track and show what you are finding. )
b. You are trying to find the amount of area that the tiles make up in the circular floor, how much of the floor the tiles take up.
c. You are trying to find how much of the oil takes up of the WHOLE bottom of the frying pan.
d. Finding the circumference of your wheel can help determine the distance the car traveled. If you used area, it would not be useful.
Christina took $20 with her to the movies. She spent $18, then Meredith gave her $10 that she owed her, and finally she spent $8 more. How much money did she go home with? ( im in 7th grade)
Answer:
she went back home with 4 dollars
1+(-2)+3+(-4)+...+2011+(-2012)+2013
When you square or cube a negative number is it still negative or does it become positive?
Example:
(-4)^{2}
