the sum of 5th and 9th terms of AP is 72 and the sum of 7th and 12th term is 97 find AP
Answer:
The AP is 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61 ....
Step-by-step explanation:
The nth term = a1 + d(n - 1)
Sum of 5th and 9th terms
= a1 + 4d + a1 + 8d = 72
2a1 + 12d = 72.............(1)
Similarly:
a1 + 6d + a1 + 11d = 97
2a1 + 17d = 97..............(2)
Subtracting equation (1) from equation (2):
5d = 25
d = 5.
and , using equation (1), the first term
a1 = (72 - 12(5)) / 2
= 12/2
= 6.
I don't think it's anything under 4in, but I'm not sure.
Answer:
5
Step-by-step explanation:
All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.
What is the price of 1 pound of potatoe?
Answer:
0.78
Step-by-step explanation:
Answer | We need more info in order to help you...
Step-by-step explanation:
USE THE PHOTO. .............
Answer:
1st and 4th
Step-by-step explanation:
goodluck!
If the area of the triangle is 20cm, what is the missing height?
Answer:
The answer for height is 20
Step-by-step explanation:
please tell fast plzzzzzz
Answer:
5:15
Step-by-step explanation:
Quater means 15 and passed means 15 passed 5
I need some help with this ( check the link). My eyes are not good with 3D shapes like these so, I need some help with this one.
Answer:
Step-by-step explanation:
1). Plane parallel to the plane WXT → Plane ZYU
2). Segments parallel to VU → ST and ZY
3). Two segments parallel to SW → VZ and TX
4). Two segments skew to XY → VS and VU
5). Two segments skew to VZ → UT and WX
Fabiola is reviewing for the Algebra 1 End-of-Course exam. She made this graph
representing a system of inequalities.
Circle the ordered pairs below that represent solutions to the system of
inequalities.
(−6, 3) (−3, 3) (0, 3) (0, 0) (6, 0)
(−6, −6) (−3, −6) (−6, 6) (−4, 2) (3, −3)
Answer
(-6. 3) (-6, 6) (-4, 2)
Step-by-step explanation:
the solution is the dark area between the two lines.
the only trick would be if one of the points fell on the dotted line.
all points on the dotted line are not included but all points on the solid line are included.
Someone check my answers please
Answer:
Thats good and its correct i think
Step-by-step explanation:
correct me
Answer:
they look good to me and nice handwriting
Step-by-step explanation:
Holly has watched 39% of a movie that is 122 minutes long.
Which is the best estimate for the number of minutes of the movie that Holly has watched?
36 minutes
39 minutes
48 minutes
52 minutes
9514 1404 393
Answer:
48 minutes
Step-by-step explanation:
39% of 122 is ...
0.39 × 122 = 47.58 ≈ 48
Holly has watched about 48 minutes of the movie.
yosef typed a 36-word paragraph in minute. What is his typing speed, in words per minute?
A number line going from 0 to 3 in increments of 3.
Divide: 2 ÷ 1
2
2
16
8
4
Answer:
2 divided by 1/2 is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
did it on edge
X+5 Y-6 means that the figure is
Answer:
The figure is translating right 5 and down 6
Step-by-step explanation:
X and Y both represent axis on a coordinate grid. x+5 simply means adding 5 to a value. In other words, on a coordinate grid, an increase in the value means you are going right, the lower the farther left. Same for the y axis, the higher the more you are increasing vertically, the lower the value the lower the point is.
Jenny makes food for her hummingbird feeders
Find the measures BC and AC.
B
6.4
A
X
2.3
C
BC =
AC =
Answer:
AC = 4.6
Step-by-step explanation:
since AX and XC are equal amd XC= 2.3
so AC = 2*2.3
Answer:
4.6
Step-by-step explanation:
Suppose you roll a fair die. Let X be the value of the roll. What is the Moment Generating Function of X?
Answer:
μ₁`= 1/6
μ₂= 5/36
Step-by-step explanation:
The rolling of a fair die is described by the binomial distribution, as the
the probability of success remains constant for all trials, p.the successive trials are all independent the experiment is repeated a fixed number of times there are two outcomes success, p, and failure ,q.The moment generating function of the binomial distribution is derived as below
M₀(t) = E (e^tx)
= ∑ (e^tx) (nCx)pˣ (q^n-x)
= ∑ (e^tx) (nCx)(pe^t)ˣ (q^n-x)
= (q+pe^t)^n
the expansion of the binomial is purely algebraic and needs not to be interpreted in terms of probabilities.
We get the moments by differentiating the M₀(t) once, twice with respect to t and putting t= 0
μ₁`= E (x) = [ d/dt (q+pe^t)^n] t= 0
= np
μ₂`= E (x)² =[ d²/dt² (q+pe^t)^n] t= 0
= np +n(n-1)p²
μ₂=μ₂`-μ₁` =npq
in similar way the higher moments are obtained.
μ₁`=1(1/6)= 1/6
μ₂= 1(1/6)5/6
= 5/36
Which line contains the point (6,-5) and has a slope of 2/3 ?
Answer:
y =2/3 -9
Step-by-step explanation:
Estimate each quoitient 2449÷8
Answer:
Quotient=306
Step-by-step explanation:
2449÷8
Quotient=306 remainder=1
Quadrilateral ABCD shown below, is translated 3 units to the left to create quadrilateral A'BCD
B
D
Which statement is true?
how do you solve this?
Answer:
Horizontal component = 9.6
Step-by-step explanation:
Recall that the horizontal component is given by the cosine projection;
[tex]v_x=|v_0| * cos(\theta)[/tex]
which in our case (using the fact that in each degree of angle one has 60 minutes of angle, and therefore 30 minutes of angles is the same as 0.5 degrees) becomes:
[tex]v_x=12.6 * cos(40.5^o)=9.5811[/tex]
And rounding to the nearest tenth as requested, we have:
[tex]v_x=9.6[/tex]
Find the total cost if you paid $45 for a pizza order plus a 15% tip. Round your answer to the nearest cent.
Answer:
6.75, if you round it i guess 6.80
Step-by-step explanation:
800,721 x 85,582
WILL GIVE BRAINLIEST FOR FIRST ANSWER
Answer:
68,527,304,622
Step-by-step explanation:
hope that helps
Answer:
The answer is 68527304622
Step-by-step explanation:
for fun: 17 + -3 - 3
Answer:
11 or I'm just bad at math
Given
f(x) = −5x9 − x8 + 3x3 − 8
and
g(x) = −5x9 − 5x3 − 5x2 + 5,
find and simplify
f(x) − g(x).
Answer:
f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = -5x⁹ - x⁸ + 3x³ - 8
g(x) = -5x⁹ - 5x³ - 5x² + 5
Step 2: Find f(x) - g(x)
Substitute: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)Distribute -1: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5CBT (x⁹): f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5CBT (x³): f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5CBT (Z): f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13And we have our final answer!
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (3, 1)?
Answer:
m=4
Step-by-step explanation:
if that's not how you write it then try y=4x
which of the following choices is equivalent to the expression below?
can someone explain how to do it?
Select equivalent or not equivalent for each pair of expressions
Answer:
Equivalent, equivalent, not equivalent.
Step-by-step explanation:
The answers for the first two are equal, but the last one doesn't have equal answers.
HELP ME!! What is the number of terms in this expression?
m/5+4⋅6
Answer:
eek, m/5+120??
Step-by-step explanation:
Answer:
I cant find the answer
Step-by-step explanation:
I searched and searched but no answer
A substance with a half life is decaying exponentially. If there are initially 12grams of the substance and after 70 minutes there are 7 grams, after how many minutes will there be 2 grams remaining?
Answer:
Step-by-step explanation:
Use the half life formula
[tex]N=N_0e^{kt}[/tex] where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:
[tex]7=12e^{k(70)}[/tex] and we will solve that for k and then use that value of k in the second equation to find time.
Begin by dividing 7 by 12 to get
[tex]\frac{7}{12}=e^{k(70)}[/tex] Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:
[tex]ln(\frac{7}{12})=k(70)[/tex]
Plug the left side into your calculator and then set it equal to the right side, giving us:
[tex]-.5389965007=70k[/tex]
Divide both sides by 70 to get the k value of
k = -.00769995
Now the second equation looks like this:
[tex]2=12e^{(-.00769995)t[/tex] where t is our only unknown now that we know k.
Begin by dividing both sides by 12 to get
[tex]\frac{1}{6}=e^{-.00769995t[/tex] and take the natural log of both sides again to eliminate the e:
[tex]ln(\frac{1}{6})=-.00769995t[/tex]
Take care of the left side on your calculator to get
-1.791759469 = -.00769995t and divide both sides by -.00769995 to get
t = 232.697 minutes
Help me out please i have an E im scared to fail
Answer:
The answer is x= 3
Step-by-step explanation:
hope this helps
Answer:
i think 48
Step-by-step explanation:
