To test this series for convergence
∝
∑ (4^n+7)/7^n
n=1
You could use the limit comparison test, comparing it to the series
∝
∑ r^n
n=1
Where r=???
Completing the test, it shows the series:
r should be 4/7. You're comparing the given series to a geometric series that converges. By the limit comparison test, you have
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{4^n+7}{7^n}}{\frac{4^n}{7^n}}=\lim_{n\to\infty}\frac{4^n+7}{4^n}=\lim_{n\to\infty}\left(1+\frac7{4^n}\right)=1[/tex]
and since this limit is positive and finite, and the series you're comparing to is convergent, then the first series must also be convergent.
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?
answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).
Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!
hope this helps
Complete the problems in measurements. Show answers in simplest terms.
b. Allan has 5 boxes of baseballs. Each box contains 2 dozen balls. He wants to divide the balls between 6 teams. How many balls will each team receive?
Answer:
20 balls to each team
Step-by-step explanation:
If 5 boxes contains 2 dozens
And 2 dozens= 24
Multiply boxes by dozens of balls
5×24=120
Then to share, you divide it buy the number of teams
120÷6= 20 balls
I NEED THIS QUICK!!
Tanisha paid $35 for 7 movie tickets.
How much would 15 movie tickets cost?
$55
$60
$65
$75
Answer:
$75
Step-by-step explanation:
$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!
For a rock concert a rectangular field of size 100 m by 50 m was reserved for the
audience.
The concert was completely sold out and the field was full with all the fans standing.
Which one of the following is likely to be the best estimate of the total number of people
attending the concert?
2000
5000
20000
50000
100000
Answer:
5000
Step-by-step explanation:
but this depends upon how much room each person needs
is the point (2,5) a solution to the equation y=3x-5?
Answer and Step-by-step explanation:
To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.
y = 3(2) - 5
y = 6 - 5
y = 1
5 ≠ 1
The point (2, 5) is not a solution.
#teamtrees #PAW (Plant And Water)
0.135 written as a fraction is
Answer:
[tex] \frac{27}{200} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Hope it is helpful...How to find the angle ? Help pls
Answer:
I got :
Angle theta = 7.1° (approximately)Step-by-step explanation:
see attached photo
Step-by-step explanation:
The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.
Help me!! Which statement is correct?
Answer:
D option is correct
( At Q3 the market is wasting society's .. )
Which of the following logarithmic expressions have been evaluated correctly, to the nearest hundedth? Select all that apply.
A. log3 8 = 0.43
B. log3 6 = 1.63
C. log4 5 = 1.16
D. log2 32 = 1.51
Answer:
b
Step-by-step explanation:
ive done it before
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour?
Heeeeeeeeeeelppppppppppppppppppp
HELPPP PLEASEEESSS
Which best describes the triangle?
acute and scalene
80
right and isosceles
6 in.
6 in.
1)) obtuse and isosceles
50°
50°
7.7 in.
acute and isosceles
Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
please answer thank you
The answer is surface area of composite shape= 411.8 Cm²
Amy has a bag with 2 pink marbles and 3 purple marbles. She picks two marbles. How much greater is the probability of Amy picking two consecutive pink marbles if she replaces her first marble as opposed to her leaving the first marble she picks out of the bag?
Answer:
2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%
What is a reasonable estimate for the area of a circle with radius 4cm?
Answer:
Option D
Explanation:
The real answer would be a bit higher if you use the formula:
Area=π×r^2
Using the diagram below, what is the measure of ZE?
Answer:
50
Step-by-step explanation:
Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50
select all the names appropriate for the angle indicated by the arc mark
Answer:
The answers are
angle KHM and
angle MHK
What is the equation, written in vertex form, of a parabola with a vertex of (–2, 6) that passes through (1, –3)?
Answer:
Step-by-step explanation:
( x - 1 )2 + ( y + 3 )2 = 90
COMPARE METALS TO NONMETAL WHICH STATMEMENT IS TURE
A,BOTH METALS AND NONMETALS ARE SHINY
B,BOTH METALS AND NONMETALS CONDUCT HEAT AND ELECTRICITY
C,NONMETALS CONDUCT HEAT AND ELECTRICITY BUT METALS DO NOT
D,METALS HAVA A SHINY LUSTER BUT NONMETALS DO NOT
Answer:
OPTION D IS THE ONLY LEGIT OPTION.
Metals have a shiny Lustre but Non metals do Not!
Answer:
D
Step-by-step explanation:
A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.
Some of the metals, though solid, are not exactly shinny either.
B: Most metals conduct heat and electricity to some degree. Non metals don't.
C: The exact opposite is true.
D: I think this is the expected answer.
Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?
Answer:
Karim had 130 chocolates left.
Step-by-step explanation:
The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing
100% (which is what he started with) - 35% = 65%
65% of 200 Change 65% into a fraction
65/100 * 200 Multiply 200 * 65
13000 / 100 Divide by 100
130
Answer:
130 left
Step-by-step explanation:
35% of 200 chocolates is equal to 70 chocolates.
200-70=130 chocolates
The area of a garden plot is 432m2 .If the length is 24 m, what is the width?
Answer:
18m
Step-by-step explanation:
Width= 432m2 ÷ 24m
= 18m
Answer:
Step-by-step explanation:
432m^2 / 24m = 18 m is the width of the garden plot
Nguyên Lý kế Toán 2
mong mọi người giúp đỡ
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
7056 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows and the number of plants in each row
Answer:
84 rows
84 plants on each row
Step-by-step explanation:
Given
[tex]Plants = 7056[/tex]
Required
The number of rows
Since the number of rows (r) and the plants on each row (p) are the same, then the area to be planted on is:
[tex]Plants = r * p[/tex]
Where
[tex]r =p[/tex]
So, we have:
[tex]Plants = r * r[/tex]
[tex]Plants = r^2[/tex]
This gives:
[tex]7056 = r^2[/tex]
Take square roots
[tex]84 = r[/tex]
Rewrite
[tex]r = 84[/tex]
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.
2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2
6
2
2.
1
4
8
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
3 points
Your answer
Answer:
Jada should use the tank of golf balls
Step-by-step explanation:
Jada should choose the tank that has a higher probability of choosing a ball with even number from.
Tank of tennis balls has two even numbers out of the ten balls (2, 4)
Tank of golf balls has seven even numbers out of the ten balls.
Tank of golf balls would give Jada more chance to pick an even number to win the game
Therefore, Jada should use the tank of golf balls
Help me ASAP plzzz……
Answer:20, 40, 40,100
Step-by-step explanation:
5x+2x+2x=180 9x=180 x=20
Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?
Answer:
"If the line has a slope that is not 0, then the the line is not horizontal".
Step-by-step explanation:
The contrapositive of "If p then q" is "If not q then not p".
p=a line is horizontal
not p= a line that is not horizontal
q=the line has a slope equal to zero
not q=the line has a slope that is not zero
The equivalent statement in contrapositive form is therefore:
"If the line has a slope that is not 0, then the the line is not horizontal".
A variable expression cannot consist of numbers or operstions. true false
Answer:
False
Step-by-step explanation:
A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)
Dan's car depreciates at a rate of 7% per year.
By what percentage has Dan's car depreciated after 6 years?
Give your answer to the nearest percent.
Answer:
20%
Step-by-step explanation:
Given that
The car is depreciated at a rate of 7% per year
We need to find out the percentage when the car is depreciated after 6 years
So,
Since the car is depreciated by 7% so we can say it can be 0.93 times in a year
Now after 6 years, it would make
= 0.93^3
= 0.80
So, the percentage is
= 1 - 0.80
= 0.20
= 20%
