Answer:
50n
Step-by-step explanation:
This problem can be solved using concept of Arithmetic progression(AP)
In AP series
the series increases or decreases by certain number which is called common difference.
common difference d is given by
d= nth term - (n-1)th term
nth term = a + (n-1)d
where a is the first term of the series
thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d
_______________________________________
Given series
50, 100, 150, 200
a = 50
to find d lets use 3rd term as nth term and 2nd term as (n-1)th term
d = 150 -100 = 50
Thus,
nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n
50n can represent the position of the term of the sequence.
To validate this lets put n = 4
50*4 = 200 which is the same as the fourth term given in the series.
hence our solution is correct.
I need helpppppppppppppo
Answer:
25%, -2x + 3
Step-by-step explanation:
8/24 = 1/4 =.25 = .25%
plug in numbers
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What is Negative 2 (3 x + 12 y minus 5 minus 17 x minus 16 y + 4) simplified?
Answer:
28x+8y+2
Step-by-step explanation:
Write out the equation first: -2 (3x+12y-5-17x-16y+4)
Simplify within parentheses : -2 (-14x-4y-1)
Multiply by -2: 28x+8y+2
A rectangular prism has a length of 3 feet, a height of 7 feet, and a width of 14 feet.
What is its volume, in cubic feet?
Answer:
294 cubic ft.
Step-by-step explanation:
All you do is just multiply the length, width, and height!
3 × 14 × 7 = 294
hopefully this helped :3
Answer:
294 cubic feet
Step-by-step explanation:
30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!
Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
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PLEASE SOLVE! FIST CORRECT ANSWER GETS BRAINLIEST! Simplify using the distributive property: -0.1·(100a+10b-c)
Answer:
-10a - b + 0.1c
Step-by-step explanation:
We can distribute the -0.1 to 100a, 10b and -c.
-10a - b + 0.1c
That's all!
Hope this helps
Answer: -10a - b + 0.1c
Step-by-step explanation:
simplify 0.1 * 10b * -c
10a - b - 0.1 * -c
regroup terms.
-10a - b - ( - 0.1 * c )
remove parentheses
-10a - b + 0.1 * c
PLZZ ANSWER AND ANSWER STEP BY STEP PLZZZ I NEED HELP!
Elaine earns $9.50 for the first 10 1/2 hours she works and $10.30 for every hour after that.If Elaine worked 20 1/4 hours,how much would she earn.
Answer: B
Step-by-step explanation:
I had this question on EDG
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
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Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
7 days and 17 days
Step-by-step explanation:
We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
Solve 2(x + 1) = 2x + 5.
Answer: No real solutions
Step-by-step explanation:
2(x-1) = 2x +5
Step 1: Distribute the 2 to the parenthesees
2x - 2 = 2x + 5
Step 2: Put the variables on one side and the constants on the other. (add/subtract)
0x = 7
Now, because 0 does not equal 7, there are no real solutions to this problem.
(-3ab - 8a + 8) - (-5ab +2)
Answer:
2ab - 8a + 6
Step-by-step explanation:
(-3ab - 8a + 8) - (-5ab +2)
(-3ab - 8a + 8) -1(-5ab +2)
Distribute -1 to the brackets.
(-3ab - 8a + 8) + 5ab - 2
Remove the brackets.
-3ab - 8a + 8 + 5ab - 2
Rearrange.
5ab - 3ab - 8a + 8 - 2
Combine like terms.
2ab - 8a + 6
3m^2+4mn-5n^2+(-m^2)-6mn+2n^2+3mn-n^2+3m^2+mn+4n^2
Answer:
5m^2 + 2mn
Step-by-step explanation:
Answer:
[tex]5 {m}^{2} + 2mn[/tex]solution,
[tex]3 {m}^{2} + 4mn - 5 {n}^{2} + {( - m)}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ = 3 {m}^{2} + 4mn - 5 {n}^{2} - {m}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ [/tex]
Collect like terms:
[tex]3 {m}^{2} - {m}^{2} + 3 {m}^{2} - 5 {n}^{2} + 2 {n}^{2} - {n}^{2} + 4 {n}^{2} + 4mn - 6mn + 3mn + mn \\ [/tex]
Simplify:
[tex] = 5 {m}^{2} - 4 {n}^{2} + 4 {n}^{2} + mn + mn \\ = 5 {m}^{2} + 2mn[/tex]
Hope this helps..
Good luck on your assignment..
Find the value of x and simplify completely. Just answer needed , not explanation
Answer:
x=(27)^2+y^2
=√729+y^2( root of 729+y^2)
= 27+√y^2
Answer:
x=9√10solution,
[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]
hope this helps...
Good luck on your assignment..
(-2,-11);slope=4 write the equation of the line
Answer: y = 4x-3
slope = 4, y intercept = -3
=================================================
m = 4 is the slope
[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through
Using point slope form, we can say,
[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
------------------------
As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
------------------------
To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
y = 4x-3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
The slope is 4
y = 4x+b
Substitute the point into the equation
-11 = 4(-2)+b
-11 = -8+b
Add 8 to each side
-11+8 = b
-3 = b
y = 4x-3
Which of the following shows the graph of y = 2 l n x On a coordinate plane, a curve starts at (0, negative 2) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. On a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 1). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 2).
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Given:
[tex]f(x)= 2^{-x}=\frac{1}{2^x}[/tex]
In the above choices it is clearly defined from the above equation that output rises in the first quadrant, the value of f(x) tends to be zero and increases into another second quadrant. For x = 0, y, once again, has become 1, that is the function passes the y platform at (0,1). Therefore an exponential function reaches y = 0 in quadrant 1 on a coordinate plane and rises into quadrant 2. (0,1) stage is the temperature at which the y-axis intersects.The graph of y = 2ln(x) is (b) on a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).
How to determine the graph of the equation?The equation of the graph is given as:
[tex]y = 2\ln(x)[/tex]
Start by plotting the graph of [tex]y = 2\ln(x)[/tex] .
From the graph (see attachment), we have the following highlights
The curve of the graph starts at the 4th quadrantIt moves up to the 1st quadrantIt crosses the x-axis at x = 1, and it approaches y = 5From the list of given options, only option (b) describes the above highlights
Hence, the graph of y = 2ln(x) is (b)
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Q1: Which pairs of expressions are equivalent (Choose all that apply.) *
14 - 9 and 14 + (-9)
18-6 and -18 + 6
-7-22 and 22-(-7)
3-30 and 3 + (-30)
10 - 5 and 5 - 10
Answer:
#'s 1 and 4
Step-by-step explanation:
1.) 14-9=5 and 14+(-9)=5
2.) 18-6=12 and -18+6=-12
3.) -7-22=-29 and 22-(-7)=29
4.) 3-30=-27 and 3+(-30)=-27
5.) 10-5=5 and 5-10=-5
A student can get paid $12 per hour to run a three-hour economics tutoring session, or he can take a five-hour shift helping at his mom’s store that pays $15 per hour. What is the opportunity cost of working at the store? $12 $75 $36 $45 $60
Answer: C. $36
Step-by-step explanation:
Opportunity cost refers to the best economic alternative so in this case, it would be referring to the student tutoring for three hours. $12x3=$36
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation of 7 pounds. Using the normalcdf function on your graphing calculator, approximately what percent of wrestlers have weights less than 205 pounds?
Answer:
1.6%
Step-by-step explanation:
The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as
F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x
z = (x-μ)/σ,
where:
x is the raw score = 205
μ is the population mean, = 220 pounds
σ is the population standard deviation = 7 pounds
205 -220/7
z = -15/7
z = -2.1428571429
Using the normal cdf function on your graphing calculator,the cumulative distribution is
normalcdf( -2.1428571429, 100)
= 0.01606229
In percent form = 0.01606229 × 100
= 1.6%
The table shows the distances and times between stops on a trolley line. Between which two stops did the trolley go
the slowest?
Stops
From Stop A to Stop B
From Stop B to Stop C
From Stop C to Stop D
From Stop D to Stop E
Data for a Trolley
Distance
150 meters
200 meters
360 meters
280 meters
Time
50 seconds
50 seconds
60 seconds
40 seconds
Stop A and Stop B
Stop B and Stop C
Stop C and Stop D
Stop D and Stop E
Answer:
Stop A and Stop B
Step-by-step explanation:
Data for a Trolley
Stops Distance Time
From Stop A to Stop B 150 meters 50 seconds
From Stop B to Stop C 200 meters 50 seconds
From Stop C to Stop D 360 meters 60 seconds
From Stop D to Stop E 280 meters 40 seconds
From definition: speed = distance/time
Speed From Stop A to Stop B : 150/50 = 3 m/sSpeed From Stop B to Stop C : 200/50 = 4 m/sSpeed From Stop C to Stop D : 360/60 = 6 m/sSpeed From Stop D to Stop E : 280/40 = 7 m/sIf a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.
Answer: C) 52.8 and 88
Step-by-step explanation:
Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88. Thus the answer is C.
Hope it helps <3
Answer:
Third Choice 52.8 cm by 88 cm
Step-by-step explanation:
Multiply each dimension by the scale factor.
24 cm * 2.2 = 52.8 cm
40 cm * 2.2 = 88 cm
Answer:
1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest
Answer:
Step-by-step explanation:
first one:
[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]
second one:
[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]
third one:
[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]
From the figure, if y = 400 then find the value of x .
Answer:
70°Solution,
y=40°
now,
[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]
Hope this helps...
Good luck on your assignment...
The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?
Answer: it’s b
Step-by-step explanation:
which statement is not always true for a parallelogram PLZ HELP QUICK
A consecutive angles are congruent, B opposite angles are congruent, C diagonals bisect each other, D opposite sides are congruent
Answer:
I think option a is correct answer because consecutive angles are supplementary.
Answer:
The correct answer is A
Step-by-step explanation:
Justin is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could he order?
Answer:
8
Step-by-step explanation:
because thats the answer
Answer:
It is going to be 8
Step-by-step explanation:
usign a tree diagram
orin simple
2 *2*2 is 8
What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4
Answer:
A. -1
Step-by-step explanation:
Slope = (y2 - y1) / (X2 - X1)
= (3 - 7) / (2 +2)
= - 4/ 4
= - 1
Hope this helps.. Good Luck!
Answer:
The slope is -1.
Step-by-step explanation:
Plug it into the formula.
solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18
Answer:
Step-by-step explanation:
18x+7y=-89 equation1
9x-9y=18 equation2
multiplying equation 2 by 2
2(9x-9y=18) 18x-18y=36 equation 3
subtacting equation 1 and 3
18x-18x+7y+18y=-89-36
25y=125
y=5
putting the values of y in equation1
18x+7(5)=-89
18x+35=-89
18x=-89-35
18x=-124
x=-6.8
Find the volume of a pyramid with a square base, where the perimeter of the base is
12.8 m and the height of the pyramid is 12.5 m. Round your answer to the nearest.
tenth of a cubic meter.
Answer:
42.7 cm ^2
Step-by-step explanation:
What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
Which statement is the most appropriate comparison of the spreads?
Answer:
D The IQR for town A is less than the IQR for town B
Step-by-step explanation:
A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)
Help me pllzzzzzzz help help
Answer:
0.75
Step-by-step explanation:
Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.
Answer: 3/4
Step-by-step explanation:
There are 8 choices, 2 of which are blue A's. Thus, 6 out of the eight options are NOT blue A's. Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.
Hope it helps <3