Answer:C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
Step-by-step explanation:
The given series is .
To find the first term of this series, we substitute k=1 to obtain:
To find the 24th term of the series, we put k=24 to get:
The value of the series is the sum of all the terms in the series.
We can find the value of the series using the formula:
.
In this case, the last term is .
.
.
.
Now let us analyse the options:
A. The value of the series is greater than the value of the 24th number in the series.
False: because 6 is not greater than 6.
B. The value of the series is between the values of the 1st and 24th numbers in the series.
False: because 6 is not between -5.5 and 6
C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true
D. The value of the series is less than the value of the 1st number in the series.
False: because 6 is not less than -5.5
Step-by-step explanation:
Please help me?!!!!!
Answer:
No i do not agree with her
because 40/50 = 80out of 100
Step-by-step explanation:
QUICK SOMEONE HELP!! I’LL MARK BRAINLIEST
Answer:
A - 152
Step-by-step explanation:
You see the box on the right triangle, meaning it is 90.
Add 90 + 62 to get 152, so the angle is 152.
The base of the isosceles triangle is parallel to x -axis and has
both end-points on the parabola [tex]y =x(10-x)[/tex]and its vertex
belongs to the x -axis. Find area of the triangle if the length of its
base is 8.
Answer:
36 square units
Step-by-step explanation:
y = x(10-x)
This is a down-opening parabola with axis of symmetry x = 5
Vertex of triangle (5,0)
Base of triangle is the horizontal chord of length 8, endpoints x = (1,9) and (9,9).
Height of triangle = 9
Area of triangle = ½·8·9 = 36 square units
A local writing center offers a new session of creative writing classes every 16 days.
A competing writing center offers a new session of creative writing classes every
24 days. Today, both writing centers have started a new session of creative writing
classes. In how many days will both writing centers start a new creative writing
session on the same day? Show or explain how you know.
Answer:
48 days
Step-by-step explanation:
If you write out the multiples for 16 and 24, you just have to find the smallest multiple that appears in both numbers.
16, 32, 48
24, 48
Are these all together equivalent?
Answer:
yes
Step-by-step explanation:
3 = 6 = 12
4 8 16
the last two reduce to 3/4; they all all equivalent
I need a step by step explanation please
PLEASE HELP!!
If 6 is an element in the domain of f(x)=5x-25/4 what is the corresponding element in the range
Answer:
23 3/4
Step-by-step explanation
f(x)=5x-25/4 is a linear equation, and because of that its domain includes all real numbers, including 6. The corresponding number in the range is then f(6) = 5(6) - 6 1/4 = 30 - 6 1/4 = 23 3/4
simplified form of ( (2^-2) )^-3 x ( (2^-3) )^2
Answer:
( (2^-2) )^-3 x ( (2^-3) )^2
((1/2²)^-3×(1/2³)²
1/(1/4)³×(1/8)²
4³×1/8²
64/64
1
£1 =€1.17
how many euros would I have if given £280
Answer:
u gotta multiple 280 with 1.17 which results 327.6
Answer:
since 1£ =1.17:1.17×280=327.6Carlos has 38 apples.He puts 8 into each bag.If he fills many bags as possible ,how many apples are left?
answer choices:
6
5
4
2
The Perimeter of a rectangle is 64 cm. The length is 2cm more than 1.5 times the width
Answer:
The length is 20
The width is 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
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Subtract 1/2h -1 from 3/4 h +4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help me plz
Michael goes to the bank and puts $6000 in a savings account. He earns a simple interest of 3.5% If he leaves the money in the account for 2 years, what is the total amount in the account after the two years?
9514 1404 393
Answer:
$6420
Step-by-step explanation:
The account value can be found using the formula ...
A = P(1 +rt)
where P is the initial deposit, r is the annual rate, and t is the number of years.
A = $6000(1 + .035×2) = $6000(1.07) = $6420
The total amount after 2 years is $6420.
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
O A. yz 1 / 8x - 2
O B. ysx-2
O c. y> 1/3x-2
Answer:
[tex]y > \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and b is the y-intercept(value of y when x = 0).
In this question:
We have that when [tex]x = 0, y = -2[/tex]. So the line is given by:
[tex]y = mx - 2[/tex]
Finding the slope:
We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So
Change in y: -1 - (-3) = -1 + 3 = 2
Change in x: 3 - (-3) = 3 + 3 = 6
Slope: [tex]m = \frac{2}{6} = \frac{1}{3}[/tex]
Solution to the inequality:
The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So
[tex]y > \frac{1}{3}x - 2[/tex]
what is −3x−6+(−1) ?
Answer:
-3x-7
Step-by-step explanation:
Six more than three times a number w.
An expression for this phase is..?
(Please help)
Answer:6+3w
Step-by-step explanation:
So, our number is "W"
SO, 6 more than three times w is
6+3w
Three times w=3w
Then, it says 6 more, so we add 6
Answer:
What! :) - (-() (--(
Step-by-step explanation:
MI no sabo perdon my amigo
HELP I SOO BAD AT THIS HEEELLLLLPPPP!!!
Answer:
9 and 7
Step-by-step explanation:
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
A B C
D
1
O
a)
Which letter shows the probability of choosing a yellow sweet?
W
b)
Which letter shows the probability of choosing a sweet that is not orange?
Answer: B and D
Step-by-step explanation:
Given
There are 4 red, 2 Green, 3 Yellow, and 1 purple sweet i.e. total of 10 sweets
(a)No of yellow sweet =3
Probability
[tex]P=\dfrac{\text{No of yellow sweets}}{\text{Total no of sweets}}=\frac{3}{10}\\P=0.3[/tex]
In number line, A, B, and C represent 0.2,0.3 and 0.4
For yellow it is B
(b)sweet that is not orange is red, green, yellow, and purple
So, probability
[tex]P=\dfrac{\text{sweet that is not orange}}{\text{Total sweets}}=\frac{10}{10}=1[/tex]
So, D represents it
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project. How many hours did he work on the project?
Answer:
5 total hours
Step-by-step explanation:
3 ÷ 60% = 5
Alan worked 5 hours on the project.
What is a percentage?A percentage is a proportion or value that may be expressed as a fraction of 100. Furthermore, the notation "%" is used to denote it.
Let H be the hours he worked on the model.
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project.
To find the H;
we use the percentage property,
3 = H x 60 / 100
H = 300 /60
H = 5 hours.
Therefore, 5 hours he worked on the project.
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The graph represents which system of inequalities?
Oys-3x - 1
y = -x - 4
Oy2-3x + 1
y s -x - 4
Oys 3x - 1
ys-X + 4
Oys 3x - 1
y = -x + 4
Answer:
y ≤ 3x - 1y ≥ - x + 4Step-by-step explanation:
On the graph we have:
Line f(x)f(x) is rising function, y-intercept is -1, slope is 3 which is determined by the points - (0, -1) and (1, 2)Zone B is to the right of the line and the line is solidAs per description above we get inequality:
y ≤ 3x - 1Line g(x)g(x) is decreasing function, y-intercept is 4, slope is -1 which is determined by same x-intercept and y-interceptZone A is to the right of the line and the line is solidAs per description above we get inequality:
y ≥ - x + 4Zone AB is the intersection of the two zones, so the system is:
y ≤ 3x - 1y ≥ - x + 4please help!!!! solve for x showing EACH STEP
please!!
cant see the pic
please type out the question
so that i can help u
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex]z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
Which two quadrants have negative x-values?
Answer:
II and III ( 2 and 3)
Step-by-step explanation:
The quadrants are numbered counter clockwise, with the top right being number I
II I
III IV
The ones having negative x values are II and III ( 2 and 3)
Which of the following inequalities represents a solution set that has the
variable x being less than or equal to some number?
1. 8x +1 < 53
2. 4x + 7 > -5
3. 5x - 16 239
4. 4x + 34 38
Answer:
2.) 4x +7 > -5
Step-by-step explanation:
because
4x +7 > -5
4x > -5-7
4x > -12
x > -3
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Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
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Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20
Answer:
15
Step-by-step explanation:
Cross multiply
3 times 20 = 60
4 times x = 4x
now your left with
60= 4x
divide 4 on both sides
15 = x
The numerator of a fraction equivalent to 3/4 that has a denominator of 20 is 15.
A fraction is made up of a numerator and a denominator. Examples of fraction are: [tex]\frac{3}{4} , \frac{1}{2}[/tex]. The numerators are 3 and 1. The denominators are 4 and 2.
In order to determine the numerator, we have to determine the relationship between the two denominators given ( 20 and 4). 20 is a multiple of 4. 20 / 4 = 5. The second step is to multiply 3 by 5 = 3 x 5 = 15.
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tell whether the sequence is arithmetic . if it is what is the comon difference -12, -7, -2 , 3
Answer:The derivative would relate to common differences or slope on a graph or acceleration of slope aka speed
Here +5
Step-by-step explanation:
Sam's mother is twice as old as sam, In 12 years, Sam will be as old as his mother was 12 years ago. How old are is sam and his mother now?
Answer:
Sam is 24 years old and his mom is 48 years old
Step-by-step explanation:
;)
The present age of Sam is 24 years and the present age of Sam's mother is 48 years
Let the present age of Sam's mother = M
Let the present age of Sam = S
Sam's mother is twice as old as Sam so we can write
[tex]\rm M = 2S.........(1)\\[/tex]
12 years ago the age of Sam's mother = M - 12
After 12 years the age of Sam = S + 12
According to the given condition
[tex]\rm S + 12 = M-12 ......(2)[/tex]
From equations (1) and (2) solving for M and S we get
[tex]\rm S + 12 = 2S -12\\S = 24\\M = 2\times S = 2\times 24 = 48[/tex]
So we can conclude that the present age of Sam is 24 years and the present age of Sam's mother is 48 years.
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need help will give extra points! and brainly thing
Answer:
I think c tell if wrong ok
Answer:
They are continuous relations
A basketball game is 40 minutes long. Carter plays
5
8
of a basketball game. To calculate how many minutes Carter played, find an equivalent fraction to
5
8
with a denominator of 40. Select the correct calculation.
A.
5
×
8
8
×
8
=
40
64
; 64 minutes
B.
5
×
8
8
×
5
=
40
40
; 40 minutes
C.
5
×
5
8
×
5
=
25
40
; 25 minutes
D.
5
×
4
8
×
5
=
20
40
; 20 minutes
Answer:
B.
Step-by-step explanation:
If you want the denominator to be 40, you need a multiple which can make 40, just do 40 ÷ 8 = 5.
Answer:
C. 25 minutes
Step-by-step explanation:
[tex]\frac{5}{8} * \frac{5}{5} = \frac{25}{40}[/tex]
You can multiply the top and bottom both by 5
You invested $26,000 in two accounts paying 2% and 3% annual interest, respectively. If the total interest earned for the year was $730, how much was invested at each rate?
Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
Hope iit help you mark as BrainlistThe amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000
This can be solved using simultaneous equations. Two equations can be derived from the question :
a + b = 26,000 equation 1
0.02a + 0.03b = 730 equation 2
Where
a = amount invested in the account that yields a 2% interest
b = amount invested in the account that yields a 3% interest
Multiply equation 1 by 0.02
0.02a + 0.02b = 520 equation 3
Subtract equation 3 from equation 2
0.01b = 210
Divide both sides of the equation by 0.01
b = 210 / 0.01 = 21,000
Substitute for b in equation 1
a + 21,000 = 26,000
a = 26,000 - 21,000
a = 5000
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