The series: 2 + 4 + 6 +.... is an arithmetic series
The sum of T41 to T47 is 616
How to determine the sum of the seriesThe series is given as:
2 + 4 + 6 +....
The above series is an arithmetic series with the following parameters:
Initial value, a = 2
Common difference, d = 2
Start by calculating S40 using the sum of n terms formula
[tex]S_n = \frac n2 * [2a + (n - 1)d][/tex]
So, we have:
[tex]S_{40} = \frac {40}2 * [2*2 + (40 - 1)*2][/tex]
[tex]S_{40} = 1640[/tex]
Calculate S47 using the same formula
[tex]S_{47} = \frac {47}2 * [2*2 + (47 - 1)*2][/tex]
[tex]S_{47} = 2256[/tex]
Subtract S40 from S47
[tex]S_{47} - S_{40} = 2256 - 1640[/tex]
[tex]S_{47} - S_{40} = 616[/tex]
Hence, the sum of T41 to T47 is 616
Read more about arithmetic series at:
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Bob made 25 free throws out of 40 free throws he attempted every 5 minutes. How many free throw did bob make in 12 minutes
Answer: 300
Step-by-step explanation: 25 times 12 = 300. 20 times 12 = 240. 5 times 12 = 60. 60 + 240 = 300
Answer:
300
Step-by-step explanation:
25 times 12 = 300. 20 times 12 = 240. 5 times 12 = 60. 60 + 240 = 300
Increase by the given percentage
272 by 249%
The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
- 3/2
Step-by-step explanation:
for perpendicular:
m1×m2= -1
A pet store has 9 dogs, 6 cats, 8 gerbils, and 7 parrots. A pet is chosen at random. What is the probability of choosing a cat or dog?
A) 22/30 = 11/15
B) 14/30 = 7/15
C) 17/20
D) 1/2
Answer: D I believe since 15 is 50% of 30
Step-by-step explanation: Sorry if I'm wrong, If I'm right can you mark brainliest :)
Answer: 1/2
Step-by-step explanation: We all know that their 30 pets altogether and if you add cat and dogs together you get 15 and 15/30 is 1/2. So It is D)1/2
The two-way table below describes the car rental habits of sales representatives attending a conference. Sales Representatives’ Car Rentals, by Length of Stay Staying Fewer than Two Nights Staying at Least Two Nights Rented a Car 9 11 Did Not Rent a Car 21 14 What percentage of representatives staying at least two nights rented a car? 20% 44% 55% 79%.
The percentage of representatives staying at least two nights renting a car is 44%. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The two-way table below describes the car rental habits of sales representatives attending a conference.
The percentage of representatives staying at least two nights rented a car will be
[tex]\rm Percentage = \dfrac{11}{25}*100 \\\\Percentage =0.44*100\\\\Percentage = 44 \%[/tex]
The percentage of representatives staying at least two nights renting a car is 44%. Then the correct option is B.
More about the percentage link is given below.
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(62 - 3) X (2 + 8) =
Answer:
590
Step-by-step explanation:
(62-3)=59
(2+8)=10
59x10
=590
Answer:
590
Step-by-step explanation:
Solve what's in parentheses:
62 - 3 = 592 + 8 = 10Multiply:
59 × 10 = 590I hope this helps!
Westwood Grocery Store needs a new freezer for popsicles and ice cream bars. The owner finds a freezer that is 4 feet long, 2 feet wide, and 3 feet tall. What is the volume of the freezer?
Answer:
24 centimeter square
Step-by-step explanation:
Volume = L x W x H
= 4 x 2 x 3
= 24 centimeter square
Linda drives 28 miles in 48 minutes, Keeping the same rate, how miles
would she drive in 24 minutes? I
Answer: 14 miles om 48 min.
140 - (16 7/8) x 7 =
_______________
Thank you!
Answer:
−49 / 8
decimal form- -6.125
Step-by-step explanation:
140− 167 / 8 (7)
=
140− 1169 / 8
=
−49 / 8
15 - 12 ÷ 4 x 3
To simplify this problem, you need to follow _______ of ________.
First you need to ________.
Then you need to _______.
Lastly you would ... To get the answer of __.
Answer: Look below.
Step-by-step explanation: To simplify this problem, you need to follow order of operations.
First you need to multiply (or divide, doesn't matter.)
Then you need to divide.
Lastly, you would subtract to get the answer of 6.
Use PEMDAS for order of operations.
Step-by-step explanation:
order of operations devide 12by 4 to get 3 and multiple the answer by 3 to9 and substract it from 15 to get 6
What is the value of p?
140°
90°
p
Answer:
230 or 50
Step-by-step explanation:
but i think it os 230
Answer:
50
Step-by-step explanation:
7) A deck of cards has 4 yellow, 5 orange, and 5 blue cards. You pick 4 cards from the deck. Cards are
A not returned to the deck after they are picked.
P(four orange cards in a row)
Answer:
Please Brainliest
2/13
Step-by-step explanation:
So firstly, know that there are 13 cards in the deck (3 + 6 + 4).
Therefore, the probability of drawing a green is 4/13.
After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.
To find compound probability, multiply the probabilities of the two separate events happening together:
4/13 * 6/12
= 2/13
IF YOU ANSWER FIRST YOU WILL GET BRAINLIEST ANSWER THIS CORRECTLY
Answer:
the last one
Step-by-step explanation:
D.
The last answer is correct
The greatest advantage of SI is that it has only one unit for each quantity (type of measurement). This means that it is never necessary to convert from one unit to another (within the system) and there are no conversion factors for students to memorize.
HOPE THIS HELPED
AND IF IT DOES PLEASE GIVE BRAINLIST
If h(x) = −2x − 10, find h(−4).
Group of answer choices
−16
−2
−18
−3
Answer:
-2
Step-by-step explanation:
h(x) = −2x − 10, find h(−4).
h(−4) = -2 × (-4) - 10
= 8 - 10
= -2
Answer:
-2
Step-by-step explanation:
did the test
what's better getting 14 out of 17 or 31 out of 39
Answer:
14 out of 17 is a 82% and 31 out of 39 is a 79%.
14 out of 17 is better
Answer:
it's better to get 14 out of 17
Step-by-step explanation:
14 out of 17 is 82% while 31 out of 39 is 79%
Evelyn drove 248 miles in eight hours if she continues at the same rate how far would she travel in 6hours
Answer:
186miles
Step-by-step explanation:
248 divided by the 8 hours she traveled means she was going 31 miles per hour. and 31 mph for 6 hours is 186 miles.
Graph the equation y = 4x + 6.
Jada has 12 pencils and 24 erasers. She wants to create identical groups. What is the
greatest number of groups that Jada can make?
Answer:
12
Step-by-step explanation:
3. $37 dinner; 15% tip
Answer:
$5.55 tip
Step-by-step explanation:
The previous balance in your check register is $234. 67. You make a deposit of $150. 0. You write a check for $63. 23. What is your new balance?
Answer:
321.44
Step-by-step explanation:
(234.67+150)-63.23
solve for m
75°
150°
105°
90°
Answer:
first of all we don't know where m is so I will give you all the degrees for all the angles so angle DAB is equals to 75 degrees angle ABC is equals to 105 degrees angle ADC is equals to 105 degrees
The measure of the angles ∠A will be 105°. Then the correct option is B.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
In the isosceles trapezoid, the sum of opposite angles will be equal to 180°. Then the equations are given as,
∠A + ∠C = 180°
Then the measure of the angle ∠A is calculated as,
∠A + 75° = 180°
∠A = 105°
The measure of the angles ∠A will be 105°. Then the correct option is B.
More about the trapezoid link is given below.
brainly.com/question/22607187
#SPJ2
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
Answer:
6.4 minutes
Step-by-step explanation:
The question gave us the following details:
Average speed = 60mph
Time spent on trip = 8 hours
Average speed of express train on way back = 75mph
T = distance/speed
D = distance
V = speed
T = d/v
d = v(t)
d = 60 x 8
= 480
Such that
480/75
= 6.4 hours.
That is 6 hours 40 minutes is the length of time it would take on the trip home.
Thank you!
Answer:
6.4 hours / 6 hours 40 minutes
Step-by-step explanation:
Do you do RSM? 6th Grade Advanced?
A ladder is resting against a wall. The foot of the ladder is `5`feet from the wall, and the top of the ladder is `16`feet from the ground. What is the slope of the ladder?
Step-by-step explanation:
that's wrong .....wait ...........
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
y−1=8/9(x−4)
Answer:
y+1=8/9(x+4)
I took the quiz and it was correct and i go to k-12
50 POINTS!
Determine which function has the greater rate of change, if either.
A. Function B has a greater rate of change because it's rate of change is 4/3
B. Function A has a greater rate of change because it's rate of change is 4/3
C. Neither function has a greater rate of change because their slopes are both 4/3
EXPLAIN
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so let's get two points from each table to get their slope or rate
for function A hmmm (2 , -5) and (6 , -2), and for function B hmmm (-5, -46) and (7 , -30)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-2+5}{4}\implies \stackrel{\textit{\Large A}}{\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-46})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-30})[/tex]
[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-30}-\stackrel{y1}{(-46)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-5)}}}\implies \cfrac{-30+46}{7+5}\implies \cfrac{16}{12}\implies \stackrel{\textit{\Large B}}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\Large B}}{\cfrac{4}{3}}~~ > ~~\stackrel{\textit{\Large A}}{\cfrac{3}{4}}~\hfill[/tex]
Find the following measures of central tendency for the given set of data.
{785, 985, 456, 351, 153, 246, 794, 159}
a. Mean =
b. Median =
c. Mode =
A triangle has vertices at (3, 3), (6, 15), and (3, -3). What are the coordinates of the orthocenter?
A. (-69, 15)
B. (3.5, 3)
C. (4.2)
D. (9, 0)
Answer:
The answer would be A) (-69, 15)
Solution:
Finding 1st and 2nd
m = (y2 - y1)/(x2 - x1)
m = (15 - 3 )/(6 - 3)
m = 12/3
y = 4x + b
3 = 3(3)+b
3=9+b
-9 -9
-6=b
Finding 3rd
repeat the above process for 1 and 2, so now use 2 and 3 in the equation.
m = -9/3
m=-3
y=-3x+b
15=-3(6)+b
b=-3
Step 2
Which expression can you use to find 16÷45?
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
Exprassion is 16/45--x=0
Answer:
16 x 5/4
Step-by-step explanation:
u change division to multiplication then flip the fraction.
tada!
:)
(6.7 x 10 5) – (2.3 x 102) =
-Answer:-10
Step-by-step explanation:
Answer:
6.7 x 105 = 703.5
2.3 x 102 = 234.6
703.5 - 234.6 = 468.9
Step-by-step explanation:
Which of the following differences could not give a distance between two points on a number
line? Explain why.
(1) 19-7
(3) -12 -(-7)
(2) -3-(-18)
(4) 14-(-6)
Answer:
Choice: (3) -12 -(-7)
Step-by-step explanation:
The distance between two points is by definition a positive number. If we wanted to know the distance between points 5 and 8, we should use the absolute value of the difference:
d=|5-8|=8-5=3
The same applies to negative points like -2 and -7:
d=|-2+7|=|2-7|=7-2=5
The only choice that does not result in a positive distance is (3) because
-12-(-7)=-12+7=-5
Thus this is not a distance between two points on a number line.
Choice: (3) -12 -(-7)