-1=0
0.5=4.5
3=3.1
this is the answer
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS
Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
1/2 mile in 1/16 an hour.what is its rate in miles per hour
Answer:
Step-by-step explanation:
Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph
But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.
Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.
You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:
Keep Change Flip
1/2 Keep
___ Change
1/16 Flip
Keep the 1/2
Change ÷ to *
Flip the 1/16
So it becomes 1/2* 16/1
1/2 * 16 is 8
8 miles per hour is your answer.
If fractions are too terrifying, you could just change 1/2 to .5 and
change 1/16 to .0625
.5 ÷ .0625= 8
Answer: 8mph
Order the angles in the triangle above from largest to smallest.
Largest
1.B
2.D
3.С
Smallest
PLS HELP ME ON THIS MATH PROBLEM ASAP
Answer:B
Step-by-step explanation:
This is because -3 is going to multiple numbers, which cannot happen in a function.
32 feet
8 feet
What will the new dimensions of the rectangle
be after a dilation with a scale factor of
7/8
Answer:
i do not know
Step-by-step explanation:
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ2
4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?
3150 miles in 14 hrs
225 mph
hope this helps!
pls help me with this:((((
Answer:
it's A (the first answer)
the second one is also A the height of the plant.
it's completely dependent on the starting size and the number of days.
(Look at the picture ) Consider the graph of the function f below.
N0.6
(4.6
6
(3.4)
21 8(2.2)
-6
-8
-4
-2
0
2
4
6
8
What is the value of f (4)?
1
A
B
3
С
6
D
14
Answer:
yes u picked C thats the correct answer
Step-by-step explanation:
Find the area of the shape.
Answer:
27 π
Step-by-step explanation:
Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].
3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]
Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?
A)
+ 5-9
B)
X-5 - 9
o
X+ 5-49
D)
X-5=-9
D. it is d because I said so >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:(
Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0
Answer:
9log_b(u)+4log_b(v)
should be like that. let me know if iam wrong
30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = the the whole secant times the outside part of the secant.
EG²= (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 + EC
Now ED = EC + CD
26 = 6.5 + CD
26 - 6.5 = CD
19.5 = CD
Is this correct check please
Answer:
its most likely CORRECT!
just have confidence that your answers are correct :)
Answer:
yes
Step-by-step explanation:
Can someone pls help like plss
Answer:
-32r+3
Step-by-step explanation:
You have to combine -9r+2r-5r-20r, orrrr…
you can remove the variables and solve:
[tex]-9+2-5-20=\\ -32[/tex]
then add the variable back,
[tex]-32r[/tex]
since the +3 has no variable, you can’t add it to -32r
so…
you have to add it to the equation as a separate term:
[tex]-32r+3[/tex]
hope this helps!
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. 5/3 is not equal to 3/5.
2. 7-(4+3) is equal to (4+3)-7
3. (x + y) + 1 is equal to x + (y + 1)
Step-by-step explanation:
1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5
2. If you solve both of them, they are equal because 7-7 = 7-7
3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.
Plz mark brainliest thx
#1
[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]
Here 5[tex]\neq 3[/tex]
Hence inequality holds
#2
[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]
[tex]\\ \sf\longmapsto 7-7=7-7[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
Equality holds
#3
[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]
Equality holds
Done
Barney’s weight is 20 pounds greater than the product of Denny’s weight and 2. Let d represent Denny’s weight. Write an expression that represents Barney’s weight
Answer:
2d+20
Step-by-step explanation:
since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure
or ig you want to write out the whole thing it would be y=2d+20
Hope This Helps!!
Answer:
[tex]2d + 20[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The following are some items that Carlo and his brother need to buy for their donations to their barangay: Instant Noodles- Php 6.75 Sardines-Php19.25 Sugar-Php49.50/kg Coffee-Php7.75 Rice-Php 35.05/kg *About how much money must they have to be able to buy : 1. 20 packs of instant noodles 134.96 2.2.5 kg of sugar 3. 15 kg of rice 4. 5 cans of sardines 5. 10 small packs of coffee
The amount of money they must have to be able to buy the items is Php958.25
if 1 pack of instant noodle costs Php 6.75, 20 packs of instant noodles will cost (6.75 * 20) = 135PhpIf sugar costs Php49.50/kg, then 2.5 kg of sugar will cost (2.5* 49.5) = Php123.75If Rice cost Php 35.05/kg, the cost of 15 kg of rice will be (15*35.05) = Php525.75If a pack of sardine cost Php19.25, 5 cans of sardines will cost Php96.25If a pack of coffee costs Php7.75, the cost of 10 small packs of coffee will be Php77.5
The amount of money that they must have is the sum of all the amount expressed as:
Total amount = Php135 + Php123.75 + Php525.75 + Php96.25 + Php77.5
Total amount = Php958.25
Hence the amount of money they must have to be able to buy the items is Php958.25
Learn more on cost here: https://brainly.com/question/11408596
Simplify (y²z⁴)³ and explain answer
Answer:
y^6 z^12
Step-by-step explanation:
When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.
Hope this helps :)
Solve for m.
√m-7 = n + 3
A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2
Answer:
A) m=n^2+6n+16
Step-by-step explanation:
sqrt(m-7)=n+3
m-7=(n+3)^2
m-7=(n+3)(n+3)
m-7=n^2+3n+3n+9
m-7=n^2+6n+9
m=n^2+6n+9+7
m=n^2+6n+16
2/3 of 12 3/8
this is easy but im dum.b
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
17 divided by two
Step-by-step explanation:
Find the area of a triangular garden if the
sides are approximately 6 feet, 11 feet, and
12 feet (to the nearest square foot).
Answer:
As it is a triangle, so you start applying Pythagoras;
once with 11 as the hyp. and once where x is the hyp.
where x is the hyp.
feet
and if considering 11 as the hyp. feet
*If the equations are not shown, you simple wait till the page fully loads or refresh the page*
Hope this helps.
Step-by-step explanation:
7+32−42÷2 what is it i need help pleaseee
Answer:
[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]
Step-by-step explanation:
A,D And E Thats The Answers
Answer:
wait what? hmmm hmmmmmm
Can you please help me?
Step-by-step explanation:
60 cookies with 4 cups
that means 60 per 4 = 60/4 = 15
and that means that he can make 15 cookies with 1 cup.
that is clear : from 60/4 we immediately know 15/1.
and now, as we know how many cookies can be made with 1 cup, it is easy to say how many cookies can be made with 3 cups. right, 3 times a much.
so, yes, we multiply 15 by 3 and get 45 cookies as answer.
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Find the value of x, y and z in the rhombus below
Answer:
... ................................
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%