Answer:
donkeey kongy
Step-by-step explanation:
Explain how to solve 5 x 2 − 3 x = 25 by completing the square. What are the solutions?
Answer:
[tex]x = -5[/tex]
Step-by-step explanation:
[tex]5(2) - 3x = 25\\10 - 3x = 25\\-15 = 3x\\-5 = x[/tex]
Step-by-step explanation:
The solution is shown in the image above
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
[infinity]summation 7 n!/n = 1
Answer:
Given series is divergent
Step-by-step explanation:
Step(i):-
By using Ratio test
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
a) [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
'l' is finite then the given ∑aₙ is convergent
b) [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
Here 'l' is infinite then the ∑aₙ is divergent
Step(ii):-
Given aₙ = [tex]\frac{n!}{n}[/tex]
[tex]a_{n+1} = \frac{(n+1)!}{n+1}[/tex]
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{(n+1)!}{n+1} }{\frac{n!}{n} } |[/tex]
we know that n ! = n (n-1) (n-2) ......3.2.1
and also (n+1) ! = (n+1)n!
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{n+1)n!}{n+1} }{\frac{n!}{n} } |[/tex]
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} n[/tex]
= ∞
Given sum of the series is divergent
What type of line is the graph of 4x + y = −3? (1 point) a Vertical b Horizontal c Rising d Falling
Answer:
Falling
Step-by-step explanation:
You have to convert it into slope-intercept form(y=mx+b) to find out. TO do this, you subtract 4x from the left, so it would be y=-4x-3. -4x is the slope, and since it is negative, it is falling.
Answer:
rising positive slope
Step-by-step explanation:
• Solve the following equation:
4(-x + 1) = 2x-10
Answer:
x=7/3
Step-by-step explanation:
To solve the equation we have to isolate x.
So first we distribute on the left side
-4x+4=2x-10
then we add 4x to both sides
4=6x-10
add 10 to both sides
14=6x
divide both sides by 6
x=7/3
6(4T-3)+6(4-3T) help pls!!!
Answer:
i hope this answer will help
Step-by-step explanation:
6(4T-3)+6(4-3T) =0
24T-18+24-18T =0
6T+6=0
6T=-6
T=-6/6
T=-1
Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1 4 of a cup of red onions. If they have 1 1 2 cups of red onions, how many batches of salsa can they make?
Answer:
they can make 6 batches
Step-by-step explanation:
1/2 = 2/4 1 = 4/4
so if one batch is 1/4, and 4+2 is 6, they can make 6 batches
Answer:
6 Batches
Step-by-step explanation:
In a race, there are 20 runners. Trophies for the race are awarded to the runners
finishing in first through fourth place.
In how many ways can first through fourth place by determined?
Answer:
116,280 ways
Step-by-step explanation:
Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.
20 runners can get first
19 for second
18 for third
17 for fourth.
To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.
I hope this helps!
-TheBusinessMan
27 divided by 52,758
Answer:
511
Step-by-step explanation:
ok
Answer. i believe this is your answer 0.00051177072
1. If p(x) = 3x + 4x² - 5x +8, find p(-2).
Step-by-step explanation:
[tex]\small{\underline{\tt{\red{Given}}}}[/tex]
[tex]\rightarrow[/tex] p(x) = -2
[tex]\small{\underline{\tt{\green{solution}}}}[/tex]
[tex]\rightarrow[/tex][tex]p(x) = 3x + {4x }^{2} - 5x + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8[/tex]
[tex]\rightarrow[/tex][tex] p( - 2) = - 6 + 16 + 10 + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 10 + 18[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 28[/tex]
[tex]\small\boxed{p(-2) = 28 }[/tex]
Hope it helps
One number is 10 more than twice another. Their sum is 1. Find the numbers
Answer:
-3 and 4
Step-by-step explanation:
We can start naming the first number x
Hence, the second number would be 10+2x
Set up an equation.
10+2x+x=1
Combine like terms
10+3x=1
Subtract 10 from both sides
3x=-9
Divide both sides by 3.
x=-3
The first number is he first is -3.
Plug that into the expression for the second number.
10+2x
10+2(-3)
10-6
4
The two numbers are -3 and 4.
A student currently is averaging 65.0% of the points in lecture (worth 60% of total grade) and has a 75.0% in lab (worth 40% of total grade). What is her total course % at this time?
Answer:
69
Step-by-step explanation:
If she is averaging 65% of the worth of lectures.
the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)
0.65 * 60 = 39
On the second part, if we apply the same method, we have
0.75 * 40 = 30
All we have to do on add both together
39 + 30 = 69.
therefore, get total grade in the course is 69
Total grade in the course is 69%
Percentage :Since, the averaging 65% of the points in lecture is worth to 60% of total grade.
It means that, the 65% will be equivalent to,
[tex]=\frac{60*65}{100}=3900/100=39[/tex] percent of total grade.
And 75% in lab is worth 40% of total grade.
[tex]=\frac{75*40}{100}=30[/tex] percent of total grade.
We have to add both together
[tex]39 + 30 = 69.[/tex]
Thus, total grade in the course is 69%
Learn more about the percentage here:
https://brainly.com/question/24304697
In an effort to gauge national public opinion, a national basketball news website places a poll on its homepage, asking participants whether their favorite sport is football, basketball, baseball, hockey, or soccer. Is this an appropriate sampling method? No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion. Yes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population. Yes. This simple random sample is ideal and will be representative of the population. No. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Answer:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
Step-by-step explanation:
The sampling as per its nature should be classed as convenience sample because of its definition: this method covers part of the population with easy to reach or close to hand.
This involves only those who will access the website and this can not be considered as representative of national public opinion.
Let's see the answer options:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
CorrectYes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population.
Incorrect as it is not representative of national public population.Yes. This simple random sample is ideal and will be representative of the population.
Incorrect as the method of sampling is not simple randomNo. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Incorrect as the method of sampling is not systematic.A drone carrying fireworks is launched from a platform above a lake and follows a parabolic path. It will set off the fireworks at its highest point. The drone’s height above the surface of the lake is given by the function h(t) = -16t2 + 64t + 80, where h represents height in feet and t represents time in minutes. a. How high is the platform? b. From what height will the fireworks be released? c. When does the drone land?
Answer: Answer is in the steps
Step-by-step explanation:
using the function h(t) = -16t^2 + 64t + 80 and H is height in feet t is the time in minutes we can evaluate how high the platform is by solving for the y intercept.
h(t) = -16t^2 + 64t + 80 the y intercept is when h(t) is h(0) so when it is h of zero put zero into the function and solve the function
A) -16(o)^2 + 64(0) + 80
0 -0 + 80
h(0) = 80
Which means the platform is 80 feet high.
B) In the reading it says that it will set the firework at its highest point and in other words its highest point is its vertex. So solve for the vertex .
h(t) = -16t^2 +64t + 80 To solve for the vertex, use the formula x= -b/2a to find the x coordinate of the vertex.
so the value of b is 64 and a is -16 .
x = -64 / -32
x = 2
So the x coordinate of the vertex is 2 so input it and solve for the y coordinate of the vertex.
h(t) = y = -16(2)^2 + 64t+80
y= -16(4) + 64(2)+ 80
y= -64 + 128 + 80
y = 144
So the y coordinate is 144. which means the vertex is (2,144) and also means that the fireworks will be released at a 144 feet.
C) The drone will land on the ground when they is not height which means when y is equal to zero or h(t) is zero.
-16t^2 +64t + 80 = 0 so solve for t using the quadratic formula.
The quadratic formula says that x= -b ± [tex]\sqrt{b^2 -4ac} /2a[/tex]
a = -16 b= 64 and c= 80
x = -64 + [tex]\sqrt{9216}/ -32[/tex]
x= -64 ± 96 /-32
x= -1 or x = 5
Which means the drone land on the ground in 5 minutes. It can't be -1 because a negative number can't represent time.
What is the answer to this question?
Answer:
-9
Step-by-step explanation:
Add the cards together
2 + -6 + 1 + -2 + -4
-9
What is the value of x in the equation 4(2x + 14) = 0? (1 point) Select one: a. 9 b. 7 c. −7 d. −9
solve for u: u/9.6 = 6 whats the answer
Answer:
u = 57.6
Step-by-step explanation:
u/9.6 = 6
Multiply each side by 9.6
u/9.6 * 9.6 = 6* 9.6
u = 57.6
Answer:
u = 57.6
Step-by-step explanation:
To isolate u, we have to multiply 9.6 on both sides to eliminate the denominator. That leaves us with u = 6 * 9.6 = 57.6
If you would like more help with math or other subjects for FREE, check out growthinyouth.org.
8.
Suppose you deposit $300 in a savings account that pays an annual rate of 6%. How much
interest would you earn in 3 years?
Answer:
i will try to see
Step-by-step explanation:
i will try to solve if i can answeer it
A dog spots a cat 50 feet away and starts to chase it. At the same moment, the cat starts to run away from the dog. The dog is running 12 feet per second and the cat is running 10 feet per second. Let t represent the time elapsed (in seconds) since the chase began. Let d represent the distance between the cat and the dog (in feet) Write a formula to define the distance between them (d) in terms of the time elapsed (t).
Answer:
D(t) = 50 -2t
At 25 seconds, the dog caught up with the cat
Step-by-step explanation:
At initial time t0
Distance = 50 ft
The dog is running 12 feet per second and the cat is running 10 feet per second.
So for each each time in seconds
Dog covers 12 feet while cat extends by 10 ft .
The distance between them at any given time
D(t)= 50 +10t -12t
D(t) = 50 -2t
The time it will take the dig to get to the cat is what D= 0
D(t) = 50 -2t
0= 50- 2t
2t= 50
t= 25
So at 25 seconds, the dog caught up with the cat
One week billy worked 36 hours at $6.70 per hour the next week he worked 40 hours at $6.85 per hour how much more did he earn the second week
I need a Substep 1&2
Week one:
36 * 6.70 = $241.20
Week two:
40 * 6.85 = $274
Subtract:
274 - 241.20 = $32.80
Therefore, he made $32.80 more the second week then he did the first week.
Best of Luck!