Answers
Answer:
D
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 1 [tex]\frac{1}{2}[/tex] -(- [tex]\frac{1}{2}[/tex] ) = - 1
d = - 2 [tex]\frac{1}{2}[/tex] - (- 1 [tex]\frac{1}{2}[/tex] ) = - 1
d = - 3 [tex]\frac{1}{2}[/tex] - (- 2 [tex]\frac{1}{2}[/tex] ) = - 1
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - [tex]\frac{1}{2}[/tex] and d = - 1 , thus
[tex]a_{n}[/tex] = - [tex]\frac{1}{2}[/tex] - 1 (n - 1) = - [tex]\frac{1}{2}[/tex] - n + 1 = [tex]\frac{1}{2}[/tex] - n , where n = 1, 2, 3, 4, ......
Related Questions
for 9-10+3 gives 2 , but doesnt we start from addition , e.g 10+3 is 13 then 9 -13 gives us -4 . can someone explain .
Answers
9 - 10 + 3 =2
START FROM ADDITION
-10 +3= -7+9= 2
Ur mistake was the negative 10
If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?
The sum of the two dice is less than 5.
O A. 4 ways
OB. 10 ways
OC. 6 ways
OD. 5 ways
Answers
Answer:
C. 6 ways
Step-by-step explanation:
When two fair dice are rolled, the sample space of the outcome is given below:
[tex](1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)[/tex]
Where in the pair (x,y), x represents the red die and y represents the white die.
The outcome in which the sum of the two dice is less than 5 are:
[tex](1,1) (1,2) (1,3) \\(2,1) (2,2) \\(3,1)[/tex]
Therefore, this result can be obtained in 6 ways.
The correct option is C.
Considering all the possible outcomes, it is found that the number of times a sum of the two dice less than 5 can be obtained is:
C. 6 ways
What are the possible outcomes when two dices are rolled?(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Of those, the ones with a sum of less than 5 are given by:
(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)
6 ways, hence option C is correct.
A similar problem, in which the number of possible outcomes is found, is given at https://brainly.com/question/24314866
what is 8h+7m
need help please!!!!
Answers
Answer: 14 hm
Step-by-step explanation:
Just add numbers together then put letters in order they show in equation
Answer:
I’m not 100% sure what you mean but if h is hours and m is minutes then it is 487 minutes but we need values for each letter if that is what the question is asking for.
Step-by-step explanation:
The picture is up there thank you :))
Answers
Answer:
14
Step-by-step explanation:
Do PEMDAS, it helps a lot.
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS)
3+ 6 x (5+4) /3 -7
3 + 6 x (9) /3-7
3 + 54/3 - 7
3 + 18 -7
21-7
14
A normal distribution has a mean of 104 and a standard deviation of 1.9.
What is the z-score of 108?
Answers
Work Shown:
x = 108 is the raw score we want to transform
mu = 104 is the mean
sigma = 1.9 is the standard deviation
z = (x-mu)/sigma
z = (108-104)/1.9
z = 4/1.9
z = 2.10526315789473 which is approximate
z = 2.11 rounding to two decimal places
I'm rounding to two decimal places because many z tables will work with this level of precision.
Use the order of operations to evaluate the expression. 4 × ( 3 4 − 1 2 ) + 3 × 6
A. 19
B. 20 1 2
C. 24
D. 33
Answers
Answer:
19
Step-by-step explanation:
4 × ( 3/ 4 − 1/ 2 ) + 3 × 6
PEMDAS
Parentheses first
4 × ( 3/ 4 − 2/4 ) + 3 × 6
4 × ( 1/4 ) + 3 × 6
Then multiply and divide from left to right
1 + 18
19
Find the missing factor.
(5 + 3) + 8 = 5 + (3 + ? )
Answers
Answer:
8
Step-by-step explanation:
(5 + 3) + 8 = 5 + (3 + ? )
8 + 8 = 5 + (3+x)
16 = 5 +(3+x)
-5. -5
11 = 3+x
-3. -3
8 = x
Or just guess 8 because its addition and it doesn't matter in what they are ordered
Next we calculate the other side which is 8. Now we get the number from the other side which is 16 and subtract 8 which equals 8. Our answer is 8.
To check we insert our answer where the question mark is, and if both sides are equal, then its correct.
SOLVE EACH Equation by completing the square
1) p2 + 8p - 33 - 0
Answers
Answer:
p = - 11, p = 3
Step-by-step explanation:
Given
p² + 8p - 33 = 0 ( add 33 to both sides )
p² + 8p = 33
To complete the square
add ( half the coefficient of the p- term )² to both sides
p² + 2(4)p + 16 = 33 + 16
(p + 4)² = 49 ( take the square root of both sides )
p + 4 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 4 from both sides )
p = - 4 ± 7
Thus
p = - 4 - 7 = - 11
p = - 4 + 7 = 3
It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself? Please explain to get brainliest
Answers
Answer:
The painter paint the room by himself in 12h.
Step-by-step explanation:
If we consider that the room is the distance that the painter and his friend need to paint, then each person will have a painting speed and if we sum them they will finish the room in 8 hours. If we call the speed of the painter "x" and the his time "tx", while his friend will be "y" and his time will be "ty". We can apply each case to the average speed formula:
Both working together:
speed = distance / time
x + y = room / 8
The friend alone:
y = room / ty
The painter alone:
x = room / tx
Therefore:
(room/tx) + (room/ty) = room/8
1/tx + 1/ty = 1/8
(tx + ty)/tx*ty = 1/8
8*tx + 8*ty = tx*ty
Since tx = ty - 12, we have:
8*ty - 96 + 8*ty = ty² - 12*ty
ty² - 12*ty - 16*ty + 96 = 0
ty² - 28*ty + 96 = 0
ty = 4 or ty = 24
Since tx = ty - 12, ty can only be 24, because if it was 4, then the painter time would be negative and that is impossible. So we have:
ty = 24
tx = 24 - 12 = 12
The painter paint the room by himself in 12h.
The painter to paint the room by himself in 12 hours
How to find work done by painterLet
Work done by painter friend = xWork done by painter = yFriend
x = room / time taken
Painter
y = room / time taken
painter and friend
x + y = room / 8
(room/friend time ) + (room/painter time) = room/8
1/friend time + 1/painter time = 1/8
(friend time + painter time)/friend time × painter time = 1/8
8 × friend time + 8 × painter time =friend time × painter time
Since friend time = painter time - 12, we have:
8 × painter time - 96 + 8 × painter time = painter time² - 12 × painter time
Painter time² - 12 × painter time - 16 × painter time + 96 = 0
painter time² - 28 × painter time + 96 = 0
solve using factorization methodPt = 4 or = 24
Since friend time = painter time - 12,
Painter can is 24, because if it is 4, then the painter time would be negative and that is impossible.
So,
Painter = 24
Friend time = 24 - 12 = 12
Therefore, the painter paint the room by himself in 12 hours
Learn more about work done:
https://brainly.com/question/18762601
what is the explicit formula for this sequence? -6,-2,2,6,10...
Answers
Answer:
4
Step-by-step explanation:
For each number, you have to keep adding a positive 4 to get the next number in he sequence.
Which will hold more juice, 14 cans of 150 ml or 2L bottles?
Answers
*Explanation*: if you multiply 14 by 150 you should get 2,100. If you convert this to litters you get 2.1. So the 14 cans of 150 ml should hold more juice, but just a little
Hope this helps :)
Answer:
14 can of 150 ml
Step-by-step explanation:
14 times 150 ml is 2100 ml.
Then you have to convert 2100 into L.
Which will get you 2.1 L
And there is your answer
PLEASE MARK AS BRAINLIEST
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=34°, and HI = 7 feet. Find the length of GH to the nearest tenth of a foot.
Answers
Answer:
GH ≈ 12.5 ft
Step-by-step explanation:
Using the sine ratio in the right triangle
sin34° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GH}[/tex] = [tex]\frac{7}{GH}[/tex] ( multiply both sides by GH )
GH × sin34° = 7 ( divide both sides by sin34° )
GH = [tex]\frac{7}{sin34}[/tex] ≈ 12.5 ft ( to the nearest tenth )
How do flies walk on the ceiling? ...
Answers
what is 1.2 -0.145 because last time I did this I got it wrong
Answers
Answer:
1.055 is the answer
Answer:
1.055
Step-by-step explanation:
1.2-0.145=1.055
Please help with the last part I don't get ti
Answers
Simplify: 9p - 2p2 + 5p
Answers
Answer:
p(9-4+5) = 0p = indeterminate
Step-by-step explanation:
there's no explanation, it's a simple concentration
Answer: 5p3 - 2p2 + 14p - 4
A rental car agency charges $12 per day plus 14 cents per mile to rent a certain car. Another agency charges $15
per day plus 9 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a
car from the first agency to equal the cost of a car from the second agency?
Answers
Answer:
The cost of renting will be the same for 200 miles.
Step-by-step explanation:
Let n the number of miles and C be the cost. We can represent the cost equations for each companies:
A: C = 12 + 0.09n
B: C = 8 + 0.11n
They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:
12 + 0.09n = 8 + 0.11n
0.02n = 4
n = 200
Answer: I don't want to be rude but, you're not helping me at all.
Step-by-step explanation:
Find two numbers whose square increased by 15 equals 8 times the number.
Answers
Answer:5 and 3
So we let the number take the letter b, anc the expression of the question is:
b^2+15=8×b.....so
b^2+15=8b
Then we take the 8b to the other side of the equal sign so that it becomes...
b^2+15-8b=0
Hence it becomes a quadatic equation following the principle ax^2+bx+c where x is the unknown...
From there we work out to get two different numbers...either b-5=0
b=5
Or b-3=0
b=3
So the two numbers are 5 and 3
Pls, help with this!!!
Answers
Answer:
The first one is 8/12.
Step-by-step explanation:Add numerator and keep denominator same.
Answer:
5/12 + 3/12
Step-by-step explanation:
[tex]\frac{5}{12} + \frac{3}{12} = \frac{8}{12}[/tex]
This is because when adding fractions with the same denominator, you just add the numerators.
The other answer choices do not equal 8/12...
[tex]\frac{2}{4} + \frac{3}{4} + \frac{3}{4} = \frac{8}{4} = 2[/tex]
[tex]\frac{2}{3} + \frac{3}{4} + \frac{3}{5} = \frac{40}{60} + \frac{45}{60} + \frac{36}{60} = \frac{121}{60} = 2 \frac{1}{60}[/tex]
[tex]\frac{4}{6} + \frac{4}{6} = \frac{8}{6} = \frac{4}{3} = 1 \frac{1}{3}[/tex]
I hope this helps!
You will flip a coin 5 times and roll a die 10 times and record your findings.
What is the probability that you get heads and the number 1. Write your
answer as a percent.
Put your answer here:
P (Heads and 1)
=
Answers
Answer:
C
Step-by-step explanation:
In a deck of cards you have 52 cards.
13 club cards (black) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 spade cards (black) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 diamond cards (red) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 heart cards (red) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
EXAMPLE:If I pick a card what is the probability of me picking a J? 4/52
Questions:
(1) What is the probability of picking a red card?
(2) What is the probability of getting an Ace?
(3) What is the probability of getting a 5 or a Q?
Answers
Answer:
1) 1/2
2) 1/13
3)1/169
Step-by-step explanation:
not sure about the last one
correct me if i am wrong
5 buses left Midville each day. 40 buses left in all. How many days did buses leave Midville?
Answers
Answer:
8 days
Step-by-step explanation:
If 5 buses left Midville every day and 40 buses left in all, you have to do 40÷5=8 days
Answer: 8 days
Step-by-step explanation: 40 / 5 = 8
that is the amount of days it will take for all the buses to leave.
PLEASE ANSWER!!!!! I WILL MARK YOU AS BRAINLIEST!!!!! IT IS HIGHLY APPRECIATED!!! :)
Answers
Answer:
A number less than 4 was rolled 18 times.
The number cube was rolled 50 times. The relative frequency of rolling a number less than 4 is 36%.
Katie has 36 coins in her jar (nickels, dimes, and quarters) totalling $4.20. She has twice as many dimes as quarters. How many nickels does Katie have?
Answers
Answer:
I think you need to mutply those. And you will get your answer.
Step-by-step explanation:
how do you interpret the correlation coefficient?
Answers
Answer:
Perfect: value is near ± 1
High degree: coefficient value lies between ± 0.50 and ± 1
Step-by-step explanation:
I need help ! What's 2+2-8^2+208
Answers
Answer:
148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
4-64+208=148
Hope this helps...Pls Mark as Brainliest!!
(01.01)
Evaluate −15 + (−4). (1 point)
Group of answer choices
Answers
Answer:
-19
Step-by-step explanation:
-15+ (-4)
15 + 4
19
-19
since theyre both negatives you are adding
21:20
In which step did Yvonne first make an error?
Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0
by completing the square. Her first four steps are shown in
the table.
Yvonne's Work
Step 1
Step 2
Step 3
Step 4
Step 1
Step 2
6x² +24x+7-0
6x² +24x - 7
6(x²+4x) -7
6(x²+4x+4) - 3+24
6(x+2)²-27
Step 3
Step 4
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
Step 2Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
The volume of a cylinder is 576Pi cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder? Recall the formula V = pi r squared h. 18 inches 24 inches 36 inches 72 inches
Answers
Answer: 36 inches
Step-by-step explanation:
Since we know that the volume of the cylinder is 576π and that the radius is 4 inches, we can fill in the given numbers before solving the unknown.
V = π * 4^2 * h
π(pi) is the same as 3.14
4^2 is the same as 4 * 4 which is 16
Volume = 1,808.64 (576π)
First, we will be replacing the variables with the given numbers:
V = π * 4^2 * h --> 1,808.64 = 3.14 * 16 * h
To get the unknown, we first have to make sure it is by itself. To do that, we must divide 1,808.64 by 3.14 which is 576. Now we have 576 = 16 * h, to get to 'h', we must divide one more time, 576 divided by 16 is 36.
We are left with 36 = h. So the final answer is 36.
Answer:
c
Step-by-step explanation:
Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
7.273 - 12.37 = [?]
Answers
Answer:
-5.10
Step-by-step explanation:
shrug