Answer:
Step-by-step explanation:
A convergent series is a series whose partial sums tend to a specific number or a limit.
Example: [tex]3+1+\frac{1}{3}+\frac{1}{9}+.~.~.[/tex]
This is because a series is convergent if
[tex]-1 < r < 1[/tex]
where r is the common ratio
and for the question above
[tex]r=\frac{1}{3}[/tex]
A divergent series is a series whose partial sums do not approach a limit. Divergent series typically go to positive infinity, negative infinity, or don't approach a specific number.
Example: [tex]4+12+36+108~.~.~...[/tex]
This is a divergent series because the common ratio is;
[tex]r=\frac{12}{4} =3[/tex]
Hope this helps! =)
If you have any queries please ask.
You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. After how many seconds is the water balloon at 9 feet?
Answer:
6.5 seconds and 13.5 seconds
Need to know:
Quadratic formula: [tex]\frac{-b +-\sqrt{b^{2} - 4ac } }{2a}[/tex]
Step-by-step explanation:
We have -0.08t² + 1.6t + 2 = 9
Subtract 9 from both sides
-0.08t² + 1.6t + 2 = 9
- 9 - 9
-0.08t² + 1.6t - 7 = 0
We will have to use the quadratic formula
a = -0.08
b = 1.6
c = -7
[tex]\frac{-1.6 +-\sqrt{1.6^{2} - 4(-0.08)(-7) } }{2(-0.08)}[/tex]
[tex]\frac{-1.6 +-\sqrt{2.56 - 2.24 } }{-0.16}[/tex]
[tex]\frac{-1.6 +-\sqrt{0.32 } }{-0.16}[/tex]
[tex]\frac{-1.6 +\sqrt{0.32 } }{-0.16} = 6.464466[/tex]
[tex]\frac{-1.6 -\sqrt{0.32 } }{-0.16}=13.5355[/tex]
These are the two times the balloon will be at 9 feet.
What is the value of the following expression? 40 - (3 + 2) x 6
A book sold 39,200 coples In Its first month of release. Suppose this represents 6.9% of the number of copies sold to date. How many copie
date?
Round your answer to the nearest whole number.
Answer:
568008
Step-by-step explanation:
i would do 100/6.9 to get 14.49
then i would multiply 14.49 by 39200 to get the "100%" of the copies.
12. Daniel's BAC, B, after drinking can be determined using the formula B = 0,08 -0.016N,
where N is the number of hours that have elapsed since drinking. What is Daniel's BAC
after 3 hours and 15 minutes?
Step-by-step explanation:
B = 0.08 - 0.016N
N = 3 hours 15 minutes = 3.25 hours (= 3 1/4).
so, we get
B = 0.08 - 0.016×3.25 = 0.08 - 0.052 = 0.028
Round to the nearest tenth
Answer:
I think it is 103 so thats 100
Step-by-step explanation:
Answer:
103 Is right i think hope it help u
What is the value of -4 (9 + 6)
At the barber shop, Oliver's haircut was $15. He gave the barber a 18% tip. how much is the tip? what is the total amount?
Answer:
%17.70
Step-by-step explanation:
18% of $15 is $2.70
$15+$2.70=$17.70
Answer:
Tip: $2.70
Total: $17.70
Step-by-step explanation:
To find the tip amount, we have to find 18% of 15.
18 × 15 = 270270/100 = 2.70 The tip amount is $2.70To find the total amount, we add the tip amount to the cost.
15.00 + 2.70 = 17.70The total amount was $17.70.Find the area of the figure
14 ft
14 ft
14 ft
Answer:
0
because there are no figure
Plss help if you can
Answer:
26.93
Step-by-step explanation:
The right polygon is the first one scaled down by 1.33 so we can multiply the values on the 2nd one by 1.33 to get the first one.
y+1 = 21*1.33
y+1 =27.93
y=26.93
please help meeeeeeeeeeeeeeeeeeee
Answer:
what's that. I don't know how can I answer If you'd didn't have a choosinng leter
J.D is doing his science homework. For each of his experiments, he uses 3/4 of a piece of paper. How much paper does he need to complete 30 problems?
Can someone help me with this
Answer:
B
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width ) , then
P = 2(3[tex]\sqrt{15}[/tex] ) + 2([tex]\sqrt{15}[/tex] ) ← distribute both parenthesis )
= 6[tex]\sqrt{15}[/tex] + 2[tex]\sqrt{15}[/tex]
= 8[tex]\sqrt{15}[/tex]
a store buys 120 baseball hats at 0.50 each including tax.the store sells the hats at Markup of 50% they sell all of the hats during the season for the selling price.How much money do they receive for the sales of all the hats
Answer:
R90
Step-by-step explanation:
120 hats sold and each = $0.50
0.50 × 120 = R60 (all the baseball hats cost)
50% of 0.50 = 0.25
0.25 × 120 = 30 (markup price)
60 + 30 = 90 ( total received for the sales)
2 2/3 divided by 1 2/5. Write the answer in simplest form.
ASAP
Answer:
1 19/21
Step-by-step explanation:
1. Convert both mixed numbers into improper fractions:
2 2/3 → 8/3 (2 × 3 = 6 + 2 = 8/3)1 2/5 → 7/5 (1 × 5 = 5 + 2 = 7/5)2. Now we are doing 8/3 ÷ 7/5. We can use KCF to divide these fractions:
K = Keep the first fraction the sameF = Flip the second fractionC = Change the sign from × to ÷8/3 ÷ 7/5 → 8/3 × 5/7 = 40/21
3. Finally, convert 40/21 back into a mixed number: 1 19/21
Hope this helps
3
Jake and three friends order 2 pizzas. Jake ate, Ethan ate, Christian ate and
Joey ate of the pizza ordered. How much of the pizza was left?
Answer:
i think four because there are four friends so there are four pizzas in each pizza box so 4+4=8 so 8-4=4 so how did i do.
Step-by-step explanation:
7th grade map 10 points.
Answer:
x = 9 in.
Step-by-step explanation:
In similar figure, the ratio of corresponding sides are always equal.
so,
[tex] \frac{x}{1} = \frac{12}{8} \\ \\ \frac{x}{6} \times 6 = \frac{12}{8} \times 6 \\ \\ x = \frac{72}{8} \\ \\ x = 9 \: inches[/tex]
What other factors could I pull out of 30 and 12x (2 CHOICES)
12
6
3
4
WILL GIVE BRAINLY
Hi! I hope you're enjoying your day!
30 and 12x have a few common factors.
Both 30 and 12x are evenly divisible by
3 (30÷3=10, and 12x÷3=4x)
6 (30÷6=5, and 12x÷6=2x)
Hence, the common factors of 30 and 12x are
[tex]\boxed{\boxed{\bold{3\;and\;6}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
Answer:
3 & 6
Step-by-step explanation:
Determine a common factor. A common factor is 2.
Divide each term by the common factor and write the results of the division in parentheses, with the factor out in front.
Determine whether you can factor out any other terms.
Simplify the answer.
Hope it helps!!!brainliest pls!!!!Find the measure of the missing angles .
Answer:
x=39
y=129
Step-by-step explanation:
x=180-51-90
y=180-51
solve for c x+2.9=7.36
Answer:
x = 4.46
Step-by-step explanation:
1. First, isolate the x. Subtract 2.9 from both sides of the equation to get x = 4.46
the ternary string 2122010 consists of exactly 2 zero's, 2 one's and 3 two's; another ternary string meeting these conditions is 0021221. How many ternary strings are there with exactly 3 zero's, 3 one's and 3 two's
This is just the number of permutations of the set {0, 0, 0, 1, 1, 1, 2, 2, 2}. There are 9 elements in the set, so there are 9! = 362,880 possible ternary strings with exactly 3 each of 0, 1, and 2.
what is 1/3^3 as a fraction
Answer:
1/27
Step-by-step explanation:
( 1/3 )³
(1)³/(3)³
1/27
The given expression is asking to find the cube of [tex]\frac{1}{3}[/tex].
Cube facts:
The Cube of a number is usually defined as a term multiplying itself 3 times.Cube is referred to a small 3 over the base.Solving the expression.
[tex](\frac{1}{3} )^{3} \\ \\= > (\frac{1}{3})(\frac{1}{3} )(\frac{1}{3} )\\\\ = > \frac{(1)(1)(1)}{(3)(3)(3)} \\\\ = > \frac{1}{27}[/tex]
Conclusion:
The cube of [tex]\frac{1}{3}[/tex] in fraction form is [tex]\frac{1}{27}[/tex].
PLS HELP
Translate this phrase into an algebraic expression. 19 increased by twice Chau's height Use the variable c to represent Chau's height.
Answer:
19 + 2c
Step-by-step explanation:
19 is increasing two times Chau's height, (c), which gives you 19 plus twice c, (2c).
How many yards is equivalent to 36 inches
Answer:
1 yard
Step-by-step explanation:
1 yard is 3 feet.
hope this helps:)
I DONT KNOW ANYTHING ABOUT THIS
Answer: A.
Step-by-step explanation:
Your change in y is +1120 and your change in x is +1
1120/1 = 1120, so she is at a constant speed/rate of 1120 per minute
Solve the simultaneous equations
3x + y = 25
2x – y = 10
Answer:
x=7 and y=4
Step-by-step explanation:
I will use the elimination method:
Since the co-efficient of both y's are the same number but different signs we add the 2 equations to eliminate the y:
3x + y =25
+ + +
2x - y = 10
Simplify:
5x=35
Divide both sides by 5:
5x÷5=35÷5
Simplify:
x=7
Substitute this into either equation 1 or 2 ( I chose 1):
3(7) + y = 25
21 + y = 25
Subtract 21 from both sides and simplify to get y:
21+y-21=25-21
y=4
Therefore x=7 and y=4
Henry is playing a game using a bag of tokens that contains exactly 28 black tokens and 12 white tokens. On each player’s turn a single token is drawn at random from the bag and then returned to the bag at the end of the turn. Each token is the same size and shape. Henry recorded the first 10 draws as either black (B) or white (W) as shown below.
B, W, W, W, B, B, B, W, B, B
Part B: Based on the information given, what is the experimental probability of the next player drawing a white token? Explain
Using it's concept, it is found that there is a 0.4 = 40% experimental probability of the next player drawing a white token.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem, in the first 10 draws, 4 resulted in the player drawing a white token, hence:
p = 4/10 = 0.4.
There is a 0.4 = 40% experimental probability of the next player drawing a white token.
More can be learned about probabilities at https://brainly.com/question/14398287
Why does my heart beat fast after I drink a cold brew?
Answer:
the caffeine??
Step-by-step explanation:
An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First row: 1 x squared, 2 x. Second row: 1 x, 2. Third row: 1 x, 1. How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.
The number of unit tiles needed to be added to the expression [tex]x^2 + 4x + 3[/tex] for making it perfect square trinomial is: Option A: 1
What is a perfect square polynomial?If a polynomial p(x) can be written as:
[tex]p(x) = [f(x)]^2[/tex]
where f(x) is also a polynomial, then p(x) is called as perfect square polynomial.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example: [tex]x^2 + 3x + 4[/tex] is a polynomial consisting 3 terms as [tex]x^2 ,3x , \rm and \: 4[/tex]
If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomialThe given trinomial is [tex]x^2 + 4x + 3[/tex]
Since the tiles are added to be in unit and positive(1, 2, 3, or 4), thus, let it be denoted by z, then:
[tex]x^2 + 4x + 3 + z = (x+a)^2[/tex]
since z is added such that the specified trinomial becomes perfect square trinomial, and since its degree is 2, so it must be product of two linear polynomials, and since coefficient of x in given trinomial is 1, so we kept the coefficient of linear polynomial as 1
Now, expanding the obtained equation, and comparing the coefficients, we get:
[tex]x^2 + 4x + 3 + z = (x+a)^2\\x^2 + 4x + 3 + z = x^2 + a^2 + 2ax\\[/tex]
Thus, from comparison of coefficients of like terms and constants, we get:
[tex]2a = 4\implies a = 2\\3 + z = a^2 = 2^2 = 4\\z = 1[/tex]
Thus, the number of unit tiles needed to be added to the expression [tex]x^2 + 4x + 3[/tex] for making it perfect square trinomial is: Option A: 1
Learn more about perfect square trinomials here:
https://brainly.com/question/88561
Answer:
A.) 1
Step-by-step explanation:
Edge 2022
2/x + 1/2 = 5/4
please help and explain. Thanks!
Answer : X = 8/3
◊ YusuCr ◊
Please help. find the area
Answer:
The answer is 240
Step-by-step explanation:
Base x height