Answer:
The sum of the first 47 terms of the given series = 6016
Step-by-step explanation:
Given the sequence
13, 18, 23, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]18-13=5,\:\quad \:23-18=5[/tex]
As the difference between all the adjacent terms is the same.
so
[tex]d=5[/tex]
[tex]a_1=13[/tex]
Arithmetic sequence sum formula
[tex]n\left(a_1+\frac{d\left(n-1\right)}{2}\right)[/tex]
Put the values
[tex]d=5[/tex]
[tex]a_1=13[/tex]
[tex]n=47[/tex]
[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]
[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]
[tex]=47\left(13+115\right)[/tex]
[tex]=47\cdot \:128[/tex]
[tex]=6016[/tex]
Thus, the sum of the first 47 terms of the given series = 6016
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
question is in the picture
Answer:
The second and fourth options
Step-by-step explanation:
A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
2/5x+4 =1/5x+8
I give up I hate math
branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest
Answer:
A
You are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)
If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer
D is the same like B
Choice C is just the whole of x-y plane so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2
What is the solution of the system of equations?
Help
Answer:
(0, 5)
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 8)and (−22,8)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Horizontal/Vertical lines like this one always have a slope of 0 Because its just a straight line.
Feel free to mark as brainliest
lmk if im wrong
Plz help I’m getting timed
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.
No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Answer: 8.5%
Step-by-step explanation:
Formula : Simple interest = (Principal) x (annual interest rate) x (Time) (i)
Given: Principal : P = $ 17,500
Time : 2 years
Simple interest : I = $ 2975
Let r = annual
[tex]2975=17500\times(r)\times(2)[/tex]
[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]
Hence, The annual interest rate was 8.5%.
I need the answers to #1-#6 ASAP!
Answer:
the answer to 1 is 24.5
Step-by-step explanation:
i believe
Which set of coordinates is NOT a function?
O {(5,5), (3, 9), (2, -1), (5, 8)}
O {(2,5),(3,9),(4, -1), (5,9)}
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Answer:
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Step-by-step explanation:
brainest plz
10 + 5 + 5 ( 10 + 10 )
Answer:
The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add
Step-by-step explanation:
Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
walk 250 feet due north. They then turn and walk 100
feet due east. They turn again and walk 150 feet due
south to the first geocache.
How far are Kylee, Constance, and Zoe from the
welcome center?
ANSWER ASAP
Write down the inequality described by "half of x is no more than three", and solve for x.
Answer:
Inequality: [tex]\frac{x}{2} \leq 3[/tex]
Solved: [tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} \leq 3[/tex]
[tex]x\leq 6[/tex]
Determine if the function is even, odd, or neither.
Answer:
It is an even function.
f(t) = 2 cos πt
Thank you and please rate me as brainliest as it will help me to level up
Answer:
I think its odd as I guess.
An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?
(150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
Answer:ITS NOT D
Step-by-step explanation:
The component form of the velocity vector of the airplane is 150√2 mph.
What is a velocity vector?The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.
The velocity vector is calculated as:-
[tex]\widehat{V}[/tex] = Vcos45
[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )
[tex]\widehat{V}[/tex] = ( 2 x 150 ) / √2
[tex]\widehat{V}[/tex] = 150√2 mph
Hence, the velocity vector of the airplane is 150√2 mph.
To know more about velocity vectors follow
https://brainly.com/question/626479
#SPJ2
Pleaseee help!
Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:
-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0
-24 + 24 = 0
What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0
Answer:
C
Step-by-step explanation:
C is the only one that works,.
Answer:
the correct answer is c
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
Which inequality is a true statement?
Select each correct answer.
−5≥−7
−5≤−7
−5=−7
−5<−7
−5>−7
Answer:
It is the second one and the last one.
Step-by-step explanation:
You are picking out an outfit to wear for school. You have the option of wearing jeans, a pair of khakis, or a pair of shorts; a white shirt, a yellow shirt or an orange shirt; and a pair of tennis shoes, a pair of flip flops or a pair of dress shoes. How many different outfit combinations do you have?
Answer:
You have 24
Step-by-step explanation:
I need these answers please please please I need it ASAP
Answer:
1:101
2:15
3:11
4:56
Source:trust me bro
What is the graph of y = 3jx|?
Ο Α.
5
>
Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
Somebody told me to take this picture a little bit closer
Answer:
well the slope is...
Step-by-step explanation:
4/3 but i don't know about the equation part
Answer:
y=4/3x+4
Step-by-step explanation:
y=mx+b
hope this is right lol I believe it is correct
Which number is not in scientific notation?
3.2 ⋅ 10–2
15 ⋅ 1020
8 ⋅ 1013
1.42 ⋅ 10–9
Answer:
The correct answer should be B
Step-by-step explanation:
If this helped please mark brainliest!
Which two elements are most likely to have similar physical properties?
A. copper and zinc
B. copper and silver
C. cadmium and indium
D. gallium and cadmium
Answer:
b
Step-by-step explanation:
(2, 6) & (2,7)
Find the slope
Answer:
1/0 or undefined (use undefined)
Step-by-step explanation:
7-6= 1/0
2-2=
1/0 isn't a real slope so it's undefined...
