write the sum using sigma notation 3^2+4^2+5^2+...+10^2
[tex]\sum\limits_{i=3}^{10}\big i^2[/tex]
or:
[tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]
or:
x₁=3, x₂=4, x₃=5, .... x₈=10
[tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]
The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]
How to express the sum as a sigma notation?The sum is given as;
3^2+4^2+5^2+...+10^2
The above means that the sum of the squares of integers from 3 to 10
Using the above statement, the sigma notation is:
[tex]\sum\limits^{10}_{n = 3} n^2[/tex]
Where n represents the current integer
Read more about sigma notation at:
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I Need the answer and how to do the question, anyone can help?
Answer:
P(A and B) = 0.1344 = 13.44%
Step-by-step explanation:
If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.
It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21
P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%
Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
More about the function link is given below.
https://brainly.com/question/5245372
How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.
That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.
Answer:
2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
Step-by-step explanation:
We are given the three expressions different from each other
We are supposed to find what may be same or different.
1) [tex](-2)^2[/tex]
[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]
2)[tex]-2^2[/tex]
[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
3)[tex]-(2)^2[/tex]
[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
Find x in the following right triangle
a squared + b squared = c squared
576+100=c squared
676=c squared
c squared = 26
hope it helps
The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
5x - 2 = 10 - X
Please help
Answer: x = 2
5x - 2 = 10 - x
Add x to both sides.
6x - 2 = 10
Add 2 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Step-by-step explanation:
5x - 2 = 10 - x
5x + x = 10 + 2
6x = 12
x = 12/6
x = 2
The bridge over the river has a weight limit of 12.65 tons to cross it. The truck weighs 10.89 tons. How many tons is the truck under the weight limit
Answer:
1.76 tons
Step-by-step explanation:
12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.
If the patter below follows the rule "Starting with two, every consecutive line
has a number that is one less than twice the previous line," how many
marbles must be in the sixth line?
O A. 11
B. 13
O C. 33
O D. Need more information
[tex]answer \\ 33 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
C. 33 marbles must be there in the sixth line.
How to elaborate the problem ?There are 2 marbles in the 1st line, 3 marbles in the 2nd, 5 marbles in the 3rd and 9 marbles in the 4th.
The rule is " Every consecutive line has a number that is one less than twice the previous line ".
How many marbles are there in 6th line ?In 1st line , 2 marbles are there.
In 2nd line, (2×2)-1 = 3 marbles are there.
In 3rd line, (2×3)-1 = 5 marbles are there.
In 4th line, (2×5)-1 = 9 marbles are there.
In 5th line, (2×9)-1 = 17 marbles are there.
In 6th line, (2×17)-1 = 33 marbles are there.
Learn more about marble problem here :
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Pleeaassee heeellllllppppp
Answer:
Nn
Step-by-step explanation:
Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
Question 7 options:
a)
y = 2(x + 5)
b)
y = 2x – 5
c)
y – 5 = x – 2
d)
y + 5 = 2x
Answer:
y+5 = 2x
Step-by-step explanation:
The point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -5 = 2(x-0)
y+5 = 2x
1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B
2) find an expression for m in terms of p.
Answer:
5x-35
Step-by-step explanation:
f(x)=5x+7
y=5x+7
x=5y+7
x-7=5y
5x-35=y
Please answer this one please ???
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
You pick a card at random, put it back, and then pick another card at random.
2 3 4 5
What is the probability of picking a number greater than 3 and then picking a 5?
Answer:
12.5%
Step-by-step explanation:
out of the 4 cards only two are >3 (4 and 5)
so 2/4 on the first choice (simplified to 1/2)
picking a 5 is 1/4 since there is only one 5
since they are happening at the same time multiply the two probabilities
1/2*1/4
=1/8
=0.125
=12.5%
∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*
[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]
Answer:
m∠ A=78°
m∠ B=12°
Step-by-step explanation:
∠A+∠B=90°
15x+3+5x-13=90
20x-10=90
20x=100
x=5
∠A=(15×5+3)°=(75+3)°=78°
∠B=(5×5-13)°=(25-13)°=12°
Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2
Answer:
Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.
Step-by-step explanation:
At which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)
Answer:
(-3,-2)
Step-by-step explanation:
Rewrite first equation in slope-intercept form ( y = mx + b)
2x -y + 4 = 0
-y = -2x - 4
y = 2x + 4
Now rewrite second equation in slope intercept form
y = -x -5
Graph both equations on a calculator and you see that they intersect at (-3,-2)
Find the measure of arc DF (with an explanation of how to solve please!)
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
The measure of arc DF should be 90 degrees.
Calculation of the measure of arc DF:Here we assume arc mCE should be 5x + 10
Since mDF = 90°
Also we know that at the time when two chords should be crossing in a circle so the angle in the cross point should be equivalent to the half the sum of the arcs
So base don this.
[tex]70 = (mCE + mDF)\div 2\\\\70 = (5x + 10 + 11x + 2)\div 2\\\\70 = (16x + 12)\div 2[/tex]
70 = 8x + 6
8x = 64
x = 8
Now the arc mDF is:
mDF = 11x + 2
= 11 (8) + 2
= 90°
Hence, The measure of arc DF should be 90 degrees.
Learn more about an arc here: https://brainly.com/question/3401487
Find the area of the parallelogram.
______________________________
Hey!!
Base=15cm
height=5 cm
Area of parallelogram=b*h
=15*5
=75 cm^2
Hope this helps..
__________________________
plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap
no its not a
Answer:
D
Step-by-step explanation:
2 x 4 = 8
8 x 2 = 16
4 x 9 = 36
36 x 2 = 72
9 x 2 = 18
18 x 2 = 36
16 + 72 + 36 = 124
124 = D
Which of the following describe an angle with a vertex at E?
Check all that apply.
The vertex of angle is the middle letter.
E is the vertex so the answers are:
A and C
Answer:
FED and DEF
Step-by-step explanation:
vertex is the middle letter
PLZ HELP ASAP WILL GIVE BRAINLIEST- If the perimeter of the triangle is 91 inches, what is the length of the base? -Picture Below!
Answer:
Base = 35 inch
Step-by-step explanation:
Given that the triangle is an isosceles triangle;
The length of the two sides is: 12b - 8
The length of the base is: 9b + 8
Perimeter = 91 inches
Required
Calculate the length of the base;
The perimeter of a triangle is gotten by adding the length of the three sides.
So, in this case; we have
[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]
Collect like terms
[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]
[tex]Perimeter = 33b - 8[/tex]
Substitute 91 for Perimeter
[tex]91 = 33b - 8[/tex]
Add 8 to both sides
[tex]91 + 8 = 33b - 8 + 8[/tex]
[tex]99 = 33b[/tex]
Divide both sides by 33
[tex]\frac{99}{33} = \frac{33b}{33}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Recall that the base of the triangle is 9b + 8
Base = 9b + 8
Substitute 3 for b
Base = 9(3) + 8
Base = 27 + 8
Base = 35 inch
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?
Answer:
The answer is explained below
Step-by-step explanation:
This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.
Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes
Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes
All together, they caught 25 fish
Therefore it can be represented by the equation:
x + x + y + 3y = 25
2x + 4y = 25
2x = 25 - 4y
x = (25 - 4y)/2
The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son
z2 (z squared) when z = 0.7 help us out
Answer:
0.49
Step-by-step explanation:
0.7^2 is the same as 0.7*0.7. You just have to times them together!
Hope this helps!
The solution is z^2= 0.49.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have.
z^2=z*z
when z = 0.7
z^2= 0.7*0.7
=0.49
0.7^2 is the same as 0.7*0.7.
Hence, the solution is z^2= 0.49.
To learn more on square root click:
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A class is made up of 2 boys and 12 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses
HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]
Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?
Answer:
7 inches
Step-by-step explanation:
250.4/36= 6.955555 rounded to nearest inch is 7
