Answer:
260
Step-by-step explanation:
a= 17
common difference (d ) = 19-17 = 2
a+(n-1)d = 35
17+(n-1)2 = 35
(n-1)2 = 35-17
n-1 = 18/2
n-1= 9
n = 9+1 = 10
Sum of the arithmetic sequence
= n/2[2a+(n-1)d]
= 10/2 [ 2(17)+ (10-1)2]
= 5(34+18)
= 5× 52
=260
Answer:
260
Step-by-step explanation:
Given the first and last terms in the sequence , calculate the sum using
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l)
where a is the first term and l the last term
Here a = 17 and l = 35
To calculate the number of terms use the n th term formula
[tex]a_{n}[/tex] = a + (n - 1)d
where d is the common difference
a = 17 and d = 19 - 17 = 2 and [tex]a_{n}[/tex] = 35, thus
17 + 2(n - 1) = 35 ( subtract 17 from both sides )
2(n - 1) = 18 ( divide both sides by 2 )
n - 1 = 9 ( add 1 to both sides )
n = 10
Hence
[tex]S_{10}[/tex] = 5(17 + 35) = 5 × 52 = 260
help plz quick i will make u a brainllest
Answer:
B
Step-by-step explanation:
Two 90 degree angles add up to 180, a supplementary angle
Correction: The answer is B, I have made a mistake. Sorry.
please help, I will mark the first response as brainiest. Factorising Expressions
Answer:
Factorising is the reverse of expanding brackets Expressions is done by these methods
talking common
making formula
Step-by-step explanation:
i hope this will help you :)
Answer:
Factorising an expression is to write it as a product of its factors. There are 4 methods: common factor, difference of two squares, trinomial/quadratic expression and completing the square.
Hope it will help you!
Step-by-step explanation:
5/8 divided 3/8 = a b/c
A=1 , b =3 ,c =2
A=1 b =40 c =24
A= 1 b =16 c =24
A=1 b =2 c =3
Express 35 millimetre in centimetre
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team
An isosceles trapezoid has a perimeter of 43 kilometers. Its shorter base measures 1 kilometer and its longer base measures 4 kilometers. The two remaining sides have the same length; what is that length?
Answer: The length of each of the two equal sides is 19 km
Step-by-step explanation:. Subtract the giver lengths of the bases: 4+1= 5
43 - 5 = 38.
The trapezoid is iscosceles, so the remaining two sides are equal.
Divide. 38/2 = 19
I hope this helps you!
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
As an estimation we are told £3 is €4. Convert £63.20 to euros. 2 decimal places is preffered :)
The value of £63.20 will be €84.20 during the conversion.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, as an estimation we are told £3 is €4. Therefore, the value of £63.20 will be:
= 63.20 × 4 / 3
= €84.20
The value is €84.20.
Learn more about expressions on:
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y is inverse proportional to x. y=16 when x is 1/2. Write an expression for y in terms of x
Answer:
The answer is
[tex]y = \frac{8}{x} [/tex]
Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{x} [/tex]
Where k is the constant of variation
y = 16 x = 1/2
[tex]k = yx \\ k = 16 \times \frac{1}{2} \\ k = 8[/tex]
So the expression for y in terms of x is
[tex]y = \frac{8}{x} [/tex]
Hope this helps you.
-5y²+2y=-2 Use the quadratic to solve the equation
Answer:
the answer in the paper
my correction of there ia am error in the my answer
Answer:
[tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]
Step-by-step explanation:
[tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
The world's oceans hold roughly 1.4 x 109 cubic kilometers of water. A typical bucket holds roughly 20,000 cubic centimeters of water. If there are 1015 cubic centimeters in a cubic kilometer, how many bucketloads would it take to empty the world's oceans?
Answer:
It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
Step-by-step explanation:
Given
[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]
[tex]Bucket: 20,000 cm^3[/tex]
[tex]1 km^3 = 10^{15} cm^3[/tex]
To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;
[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]
[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]
Expand the numerator
[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]
Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]
So, the expression becomes
[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]
Simplify the numerator using laws of indices
[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]
Expand the denominator
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]
Split fraction
[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]
[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]
Simplify fraction using laws of indices
[tex]Number = 0.7 * 10^{25-4}[/tex]
[tex]Number = 0.7 * 10^{21}[/tex]
[tex]Number = 7 * 10^{20}[/tex]
Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of side M N is 19 inches. Sides X Y and M P are congruent. Sides Y Z and P N are congruent. If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°
Answer:
[tex]m\angle Y = 85\°[/tex]
Step-by-step explanation:
In Triangles YXZ and PMN
[tex]XY \cong MP\\YZ \cong PN[/tex]
Since the third side of triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.
Therefore:[tex]\triangle XYZ \cong \triangle MPN\\[/tex]
If the measure of angle P = 85°
Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.
Answer:
I believe the correct answer would be m<Y= 100° which would be letter C.
Step-by-step explanation:
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
Please can someone help me on how to answer this question?
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
Please help find the measure of the arc
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
learn more about arc of circle
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please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]
Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
Answer:
Last graph, 4, D
Step-by-step explanation:
g(x) = [X +3] is the graph we're looking for
g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1
So
g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)
or it would look like
y=1x+3
so the answer to this would be the line that has y = x+3
So the last one
draw the graph of the equation x+y=5and find the points were the line meets the x axis and y axis
Answer:
Use a graphing calculator.
Step-by-step explanation:
How to solve without a graphing calculator (if it's not allowed):
1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.
x+y=5 (subtract x from each side), y= -x +5
2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.
A recipe for tropical punch calls for 222 cups of pineapple juice and 333 cups of orange juice. Jo creates a drink by mixing 333 cups of pineapple juice with 444 cups of orange juice.
Answer:
Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .
Step-by-step explanation:
If you want to see if Jo’s drink is equivalent you have to make equivalent ratios.
punch recipe : 2 cups : 3 cups
Jo’s : 3 cups : 4 cups
Let’s make the pineapple juice each 1 cup
punch recipe: 1 cup : cups?
Jo’s : 1 cup : cups?
we have to divide in order for this to work! since we divided 2 cups by 2 we divide 3.
punch recipe : 1 cup : 1.5
do the same thing for Jo’s. We divided 3 cups by 3 we divide 4 cups by 3 now.
jo’s recipe : 1 cup : 1.3
compare 1.5 is bigger than Jo’s recipe hers is not equivalen.
Answer is will have stronge pinnaple juice
Camila tried to shade only composite numbers on the hundred chart. What mistake did Camila make?
Answer:
B. 29 is prime, not composite
Step-by-step explanation:
A composite number, by definition, is any positive integer of which can be formed by the product of two or more numbers, and the integer must not be a prime number.
29 is a prime and not a composite number because it is only divisible by 1 and itself.
This is not same for 39 and 49.
39 can be divisible by 3, and 13, other than 1 and 39.
49 can be divisible by 7, other than 1 and itself.
Therefore, Camila made a mistake by shading 29 as a composite number.
The answer is: "B. 29 is prime, not composite".
helppp!!!! please!!!!
Answer:
Second option is the right choice.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Where, (h, k) is the center of the circle.
So, for the given equation, we have the center at:
(h, k) = (-5, 2)
Best Regards!
what is the value of 4y when y= - 3
Answer:
-12
Step-by-step explanation:
We just plug in -3 and multiply.
4y
= 4(-3)
= -12
Hope this helped!
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
By:xBrainly
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
a team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win
Answer:
66.67%
Step-by-step explanation:
total matches = 9
matches won = 6
percentage = matches won*100/ total matches
percentage = 600/9
= 66.67%
Answer:
40%
Step-by-step explanation:
i need help with this please
Answer:
I think it is C
Step-by-step explanation:
because x repeats with diffirent y.
Answer:
the bottom left box
Step-by-step explanation:
because each domain should have only one range to be a function
Solve : a) (x-4)(x-2)=0
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
Estimate the difference.
141 - 5.89
8
O 12
O 16
O 20
If you meant to say the fraction 141/8
then 141/8 = 17.625 which rounds to 18
5.89 rounds to 6
then we have 18-6 = 12
The answer is choice B
Which equation results from adding the equations in this system? (Negative 6 x + 4 y = negative 8) and (6 x minus 12 y = 14.) Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answer: Negative
- 8y = 6
Step-by-step explanation:
-6x + 4y = -8
6x - 12y = 14
--------------------------
- 8y = 6