[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:
https://brainly.com/question/14322177
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27
Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.
Answer:
She'd have travelled 120 extra miles, 600 miles in total.
Step-by-step explanation:
480 : 8 = 60 --> 60 miles per hour
60 x 10 = 600 --> 600 miles in 10 hours at that speed
600 - 480 = 120 --> extra miles in the extra two hours at that speed
I have finished the table but stuck in the question after...
Answer:
7/48
Step-by-step explanation:
there are 48 in total
there are 7 white females
7/48
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
3 hours
Step-by-step explanation:
3/4 + 3(3/4) =4*(3/4) = 3
Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =
Answer:
12.
Step-by-step explanation:
12^1/2 * 12^1/2
= 12^(1/2 + 1/2)
= 12^1
= 12.
The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.
It's an equation.
(Btw i luv your profile pic :))
Answer:
It's an equation.
Step-by-step explanation:
[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value
for an example,
[tex]4 < 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Select the ordered pair that is a solution
of this equation.
x-2y = -8
Click on the correct answer.
(2,1)
(2,5)
(5.2)
Answer:
(2,5)
Step-by-step explanation:
Choose values for x and substitute in to find the corresponding y values.
(2) - 2y = -8
2 = 2y - 8
10 = 2y
5 = y
(2,5)
Equation B: 3x+2x+6=6x-5 ( does that have one solution, no solution, or many solutions?) and explain why
It has one solution.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Find the volume. SHOW WORK
Answer:
827.39
Step-by-step explanation:
Volume = L X W X H
So 6.2 X 8.5 X 15.7
6.2 X 8.5 = 52.7
52.7 X 15.7 = 827.39
So the volume is 827.39
I need help solving this asap
Answer:
the answer will be A
Step-by-step explanation:
Answer:
Step-by-step explanation:
write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.
Answer:
No Spaces - y=3x+4
Step-by-step explanation:
Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )
The equation of the asked line is y = 3x+4
What is an equation?The equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, a line with a slope of 3 and a y-intercept of 4.
The standard equation of a line is;
y = mx+c
Therefore, putting the values we get,
y = 3x+4
Hence, The equation of the asked line is y = 3x+4
For more references on equations, click;
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20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me
Answer:
k = 0.086
Step-by-step explanation:
We have the equation
y=ne^(-kt)
where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.
We know the following data:
t: 8 hoursy = n/2 (half of a radioactive element remains)Replacing into the equation and solving for k:
[tex]y=ne^{-kt}[/tex]
[tex]\frac{n}{2}=ne^{-k8}[/tex]
[tex]0.5=e^{-k8}[/tex]
[tex]ln(0.5)=ln(e^{-k8})[/tex]
[tex]ln(0.5)=-k8ln(e)[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]k = 0.086[/tex]
Given f(x) = –2x + 2, find f(6).
Answer:
-10
Step-by-step explanation:
_________________________________
Solution,
f(X)= -2x+2
f(6)= -2*6+2
= -12+2
= -10
So the right answer is -10.
hope it helps
Good luck on your assignment
______________________________
Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.
Considering the equation for the volume of a cylinder, it is found that the correct statement is:
A. The volume of cylinder X is less than the volume of cylinder Y.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
Answer:
It is answer B
Step-by-step explanation:
this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.
Evaluate this expression.
3^-2 ANSWER ASAP PLEASE
Answer:
0.11111111111
Step-by-step explanation:
Answer:
1/9 or 0.1 repeating
Step-by-step explanation:
Start by doing the inverse of the square root of 2 (that is the negative sign)
The inverse of 3^-2 is 1/3^2
Therefore, your answer is 1/9.
Hope this helps!
In the picture above, y equals to ___
degrees. The acute angle (2y+6) measures___
degrees and its obtuse linear pair measures___
degrees. The variable x equals to___
degrees.
Answer:
y=18 and (2y+6) measures 42 the answer for obtuse 138 the last one is 46
If anyone helps me with these questions I will give them Brainiest
Answer:
For question 2: the answer is 84 cm
Step-by-step explanation:
The formula for the area of a rhombus/parralelogram is A = bh or base times height.
Answer:
For question 4: the answer is 465 cm
Step-by-step explanation:
The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)
Answer:
For question 5: the answer is 45
Step-by-step explanation:
The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)
Answer:
For question 6: the answer is 180 feet
Step-by-step explanation:
The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.
Answer:
For question: 9 the answer is 21
Step-by-step explanation:
The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.
Answer:
For question 10: the answer is 11.7
Please mark brainliest I worked hard on these questions.
Will mark brainliest!
Please help!
Answer:
1.
30/100×450
0.3×450
135
450-135=315
So the sale price of a shirt is Nu.315
2.
30/100×450
0.3×450
135
450+135=585
So the selling price of the shirt is Nu.585
Answer:
Q1:315
Q2:585
Step-by-step explanation:
450 -30% (Percentage decrease) =
450 - (30% × 450) =
450 - 30% × 450 =
70 ÷ 100 × 450 =
70 × 450 ÷ 100 =315
Q2: 450 + 30(Percentage increase) =
450 + (30% × 450) =
450 + 30% × 450 =
130 ÷ 100 × 450 =
130 × 450 ÷ 100 =585
Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Answer:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Step-by-step explanation:
I graphed the equation on the graph below so you can where I got my answer.
Answer:
the answer is D
Step-by-step explanation:
hope this helps!
Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?
Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]
[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]
Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]
Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68
calculating the diference in interest between the two options we have
[tex]8411.58-8213.68= 197.9[/tex]= $197.9
Option A earns higher interest
Evaluate the following expression.
5-1
50
Step-by-step explanation:
Hope this is correct
Hope it helps you
DEllAC AD=BE AB=16 BC=24
BE-? BD-?
Answer:
BE = 3.6 units
BD = 12.4 units
Step-by-step explanation:
From the picture attached,
Since DE║AC, ΔBDE and ΔABC will be similar.
In these similar triangles corresponding side will be in the same ratio.
[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]
[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]
[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]
1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]
1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]
1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]
1 = [tex]BE(\frac{3+2}{48})[/tex]
BE = [tex]\frac{18}{5}[/tex]
BE = 3.6 units
Therefore, AD = BE = 3.6 units [given]
Now BD = AB - AD
= 16 - 3.6
= 12.4 units
The dimensions of a plastic container are 8 in x 6 in x 4 in. What is the volume of the container? in3
Answer:
8 x 6 x 4 = 192
Step-by-step explanation:
Volume is l x w x h
Answer:
The answer is 192 inches cubed.
Step-by-step explanation:
The formula to solve the volume of a 3-D shape is length times width times height. So you would multiply 8 times 6 times 4. Then you just add the descriptions.
For the following fraction ,tell whether you will add ,subtract, or multiply the exponents
Answer:
Add the exponents
Step-by-step explanation:
Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.
EX:
x multiplied by x^5=x^6
Answer:
We add them
But for negative values we always keep the negative value as a decrease.
4 x -4 as powers still becomes -8
and not -16
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.
A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?
A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)
Answer:
Step-by-step explanation:
8 -x = 13 - 2x
x + 8 = 13
x = 5
y = 8 - 5
y = 3
(5, 3)
A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.
Answer:
25% = (p) 1/4 = picking a number 9.
(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9
This is add rule from the 4 card set.
1/4 + 0 + 0 + 0 = 1/4
Because each (P) is equal and shows (P); 1/4
there are 1 event so 1/4 + 0= 1/4 = 0.25%
Step-by-step explanation:
0.25 x 100 = 25%
Answer:
25%
Step-by-step explanation:
there are 4 options so there are 25% chance it will be 9
The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9948. How much do you think
ABC will be worth at x = 34 days?
A. $2343.31
B. $22.17
C. $2262.43
D. $65.89
The amount of ABC will be at x = 34 days is, $2245.46.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.
Now, we can calculate the value of ABC by substituting x = 34 into the equation as;
y = 65.89(34) + 22.17
y = 2245.46
Therefore, the value of ABC at x = 34 days is approximately $2245.46.
Learn more about the mathematical expression visit:
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Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
PLEASE answer quick, I need this in the next 15 minutes
Answer:
11.5214512633
Step-by-step explanation:
Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.
CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2
CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775
EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017
DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562
add them all up 11.5214512633
someone please help me please and thank you
Answer:
it is the second one
Step-by-step explanation:
if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.
1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment？
1. 8
2. 12
3. 14
2. How many possible outcomes are there when Shannon flips a head and rolls an even number?
1. 3
2. 4
3. 6
3. What is the theoretical probability that Shannon flips a tail and rolls a two?
1. 2/12
2. 1/12
3. 3/12
Answer:
1. - (C) 14
2. - (B) 4
3 - (A) 2/12
