[tex] \Large{ \boxed{ \mathbb{ \pink{SOLUTION:}}}}[/tex]
The AP would be like:
1, 3, 5, 7........[50 terms]Now,
➝ First term = 1
➝ Common difference = 2
➝ No. of terms = 50
By using formula,
[tex] \large{ \boxed{ \rm{S_n = \frac{n}{2} \bigg(2a + (n - 1)d \bigg)}}} [/tex]
Here,
a = First termn = number of termsd = common difference Sn = sum of n termsProceeding further,
➝ S50 = 50/2{ 2 × 1 + (50 - 1)2 }
➝ S50 = 25{ 2 + 49 × 2 }
➝ S50 = 25{ 100 }
➝ S50 = 2500
⛈️ Sum of 50 terms of AP = 2500
Shortcut trick:- n^2
Then, Sum of 50(n) terms = 50^2 = 2500
☘️ Hence, solved !!
━━━━━━━━━━━━━━━━━━━━
Answer:
2500
Step-by-step explanation:
The Sum of First 50 Odd Natural Numbers:
1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75+77+79+81+83+85+87+89+91+93+95+97+99
= 2500
Solve 6x - 12y = 18 for X.
A. x = 12y + 18
B. X = 2y + 18
O c. x = 2y + 3
D. x = 12y + 3
Answer:
C.
Step-by-step explanation:
6x-12y=18
6x=18+12y
Divide through by 6
X=3+2y
X=2y+3
Answer:
C
Step-by-step explanation:
6x-12y=18 x=2y+3 this is correct
What are the coordinates of the point 3/4 of the way from A to B. I need this ASAP pls
Answer:
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
Step-by-step explanation:
The coordinates of the point A is (-5, -4),
The coordinates of the point B is (-3, 3)
Let the point 3/4 from A to B = P
The coordinates of the point 3/4 from A to B is found as follows;
(-5 + (3/4×(-3 - (-5)), -4 + 3/4×(3 - (-4)) which gives;
The coordinates of the point 3/4 from A to B as P(-3.5, 1.25)
We verify the length from A to B and from A to P as follows;
The distance l between two points (x₁, y₁) and (x₂, y₂) is given by the formula;
[tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For AB, we have;
[tex]Length \ of \ segment \ \overline {AB} = \sqrt{\left (3-(-4) \right )^{2}+\left ((-3)-(-5) \right )^{2}}=\sqrt{53} \approx 7.28[/tex]
[tex]Length \ of \ segment \ \overline {AP} = \sqrt{\left (1.25-(-4) \right )^{2}+\left ((-3.5)-(-5) \right )^{2}}= \dfrac{3}{4} \cdot \sqrt{53}[/tex]
Therefore, the point P (-3.5, 1.25) is the point 3/4 distance of A to B from A.
Identifying the distance and applying the fraction, it is found that the coordinates are (-3.5, 1.25).
------------
Point A has horizontal coordinate -5 and vertical coordinate -4, thus, it's coordinates are A(x,y) = A(-5,-4).Point B has horizontal coordinate -3 and vertical coordinate 3, thus, it's coordinates are B(-3,3).------------
At the x-coordinate, the distance from B to A is of [tex]-3 - (-5) = -3 + 5 = 2[/tex] units.Starting at point A, 3/4 of the way will have a x-coordinate of:[tex]x = -5 + 2\frac{3}{4} = -5 + \frac{6}{4} = -\frac{20}{4} + \frac{6}{4} = -\frac{14}{4} = -\frac{7}{2} = -3.5[/tex]
At the y-coordinate, the distance from B to A is of [tex]3 - (-4) = 3 + 4 = 7[/tex] units.Starting at point A, 3/4 of the way will have a y-coordinate of:[tex]y = -4 + 7\frac{3}{4} = -4 + \frac{21}{4} = -\frac{16}{4} + \frac{21}{4} = \frac{5}{4} = 1.25[/tex]
The coordinates are (-3.5, 1.25).
A similar problem is given at https://brainly.com/question/24647154
You have $20 to buy snacks for
yourself and 4 friends. If you
buy a bag of chips for each
person, and still have $13.75
left, how much did you spend
on each bag of chips?
20:37
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the
expression below to describe his movement.
6+(-8)
Which statement could describe Ahmed's movement?
Ahmed started 6 floors above ground level, then he went down 8 tidors.
Ahmed started 6 floors above ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went down 8 floors.
Save and Exit
Answer: Choice A
Ahmed started 6 floors above ground level, then he went down 8 floors
The +6 or simply 6, is positive, so he's on the 6th floor to start. Then adding on -8, which is the same as subtracting 8, moves him down 8 floors.
6 + (-8) = 6 - 8 = -2 indicates he's 2 floors below ground level, so he's in basement level 2 (perhaps some kind of parking garage).
Answer:
the answer is A.
Step-by-step explanation:
got it right on edg
and good luck on exams, dont forget to study l o l
3x – 2 = -12 is equivalent to which selection?
A: 3x = -14
B: 3x = -12
C: 3x = -10
D: 3x = -6
Answer:
The answer may be C
Step-by-step explanation:
3x-2=-12
+2= +2
3x= (-12+2)
3x= -10
What is the slope of line p? On a coordinate plane, a straight line goes through (negative 3, negative 2), (0, 0), and (3, 2). I NEED HELP FAST PLEASE, THANK YOU !!!!!
Answer:
slope = 2/3
Step-by-step explanation:
To find the slope you use this equation:
difference in y / difference in x
so let's take two points you have given
(3,2) and (0,0)
take the difference in y which is both y coordinates so
2-0 = 2
and take the difference in x which is both x coordinates so
3-0 = 3
2/3
can somebody please help me with this please don’t waste my answers if you are rlly good at geometry or know how to solve it please help me !
Answer:
20
Step-by-step explanation:
2m+10=4m
10=4m-2m
10=2m
m=5
SInce m=5, XC=4m=4*5=20
Solve 7x + 6 < 3(x - 2).
Answer:
x< -3Step-by-step explanation:
[tex]7x+6<3\left(x-2\right)\\\\\mathrm{Expand\:}3\left(x-2\right):\quad 3x-6\\\\7x+6<3x-6\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\7x+6-6<3x-6-6\\\\Simplify\\\\7x<3x-12\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\\\7x-3x<3x-12-3x\\\\\mathrm{Simplify}\\\\4x<-12\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}<\frac{-12}{4}\\\\x<-3[/tex]
Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )
Answer:
B' (-2, 3)
Step-by-step explanation:
A(5, 1) to A'(6, -2)
A(6-5, -2-1)
A translation is 1, -3
consider the same translation of B'
therefore, the coordinates of B' is (-2, 3)
Answer:
B. -2, 3
Step-by-step explanation:
edge2021
A boy is mowing a rectangular lawn 40ft long and 30ft wide. He has cut all of it except for a rectangle that is 20ft long and 15ft wide. What fractional part of the lawn remains uncut?
Answer:
1/4
Step-by-step explanation:
Find the area of the full rectangle:
=> 40 x 30 = 1200
Find the area of the uncut part:
=> 20 x 15
=> 300
Make these numbers as a fraction.
=> 300 / 1200
=> 3/12
=> 1/4
So, 1/4 part remains uncut.
The fractional part of the lawn remains uncut is 1/4
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Given that A boy is mowing a rectangular lawn 40ft long and 30ft wide. He has cut all of it except for a rectangle that is 20ft long and 15ft wide.
To Find the area of the full rectangle:
40 x 30 = 1200
To Find the area of the uncut part:
= 20 x 15
= 300
Now Make these numbers as a fraction;
=> 300 / 1200
=> 3/12
=> 1/4
Therefore, 1/4 part remains uncut.
Hence, The fractional part of the lawn remains uncut is 1/4.
Learn more about the area;
https://brainly.com/question/1658516
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A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?” Is this a valid question to ask of sample respondents? A. Yes, the researcher is simply stating a fact: eating sugary foods does lead to cavities. It is okay for a researcher to state facts in asking questions of respondents. B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal. C. No, a researcher cannot ask people for preferences because they may not answer honestly. The researcher should observe people and record their beverage selections to insure accurate responses. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
Answer:
. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
Step-by-step explanation:
But again this could be an opinion answer as well
Hope this helps
If this seems incorrect anyway please just comment and I shall change my answer thanks very much :)
For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answer:
D. x + y ≤ -4 3x + 2y ≤ -5Step-by-step explanation:
(3, -7) ⇒ x = 3, y = -7
x + y = 3 + (-7) = -4
3x + 2y = 3•3 + 2(-7) = 9 - 14 = -5
x + y < -4 3x + 2y < -5
A.
-4 < - 4 ← false -5 < -5 ← false
B.
-4 ≤ - 4 ← true -5 < -5 ← false
C.
-4 < - 4 ← false -5 ≤ -5 ← true
D.
-4 ≤ - 4 ← true -5 ≤ -5 ← true
Answer:
D.
x + y ≤ -4
3x + 2y ≤ -5
Step-by-step explanation:
it was right on plato
4x2y+5xy2+3x2y-2xy2
Points D and E are aligned with a ruler. Point D is at the mark for 4.5 cm, and the distance between points D and Eis 3.4 cm. At which two marks on the ruler could point E be located? 0 cm or 3.4 cm 0 -3.4 cm or 0 cm 1.1 cm or 7.9 cm 0 -7.9 cm or 1.1 cm
Answer:
1.1 cm or 7.9 cm
Step-by-step explanation:
Given:
Point D mark for 4.5 cm
Distance between points D and E =3.4 cm
Find:
Location of point E
Computation:
Assume;
Point o = 0 cm mark
Point E = Point D mark - Distance between points D and E
Point E = 4.5 cm - 3.4 cm
Point E = 1.1 cm
or
Point E = Point D mark + Distance between points D and E
Point E = 4.5 cm + 3.4 cm
Point E = 7.9 cm
Which line is perpendicular to the line shown on the graph?
Answer: Is A in the correct answer
Step-by-step explanation:
The line perpendicular to the line y=2x/3 is Option A) -3x/2+2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, the line passes through the points (0,-1) and (3/2,0)
Thus using the two point form we get the equation of the line as
y=2x/3 +1 with slope =2/3
And in option 1 we have y=-3x/2 + 2 with slope = -3/2 and thus the product of the slopes of the two lines is -3/2 × 2/3 = -1
∴y=2x/3 +1 and y=-3x/2 + 2 are perpendicular.
Hence, The two lines are perpendicular and option A is the correct option.
Learn more about linear equations here:
https://brainly.com/question/29739212
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I need help with this question.
Answer:
k Nishant
Step-by-step explanation:
the correct answer is option negative
A researcher conducted a survey to 50 respondents about what they like among the three online games, namely the mobile legends, the clash of clans, and the player's unknown battlegrounds (PUBG) out of 50 respondents, 15 people chose PUBG, 30 chose mobile legends and 20 chose clash of clans, How many Respondents chose all 3 online games?
Answer:
15 Respondents
Step-by-step explanation:
Total number of respondents = n (PUBG ∪ M ∪ C) = 50
PUBG = n(PUBG ) = 15 people
Mobile legends = n(M) = 30 people
Clash of clans = n(C) = 20 people
n ( PUBG ∩ M) = Unknown
Step 1
The first step is to find the number of respondents that chose two or the games
a) Number of respondents that chose Mobile legends and PUBG =
n ( M ∩ PUBG)
30 - x = 15 - x + x
30 - 15 = x + x - x
15 = x
b) a) Number of respondents that chose Mobile legends and Clash of clans =
n ( M ∩ C)
n ( M ∩ C) = y
30 - y = 20 - y + y
30 - 20 = y + y - y
10 = y
c) Number of respondents that chose PUBG and Clash of clans =
n ( C ∩ PUBG) = z
20 - z = 15 - z + z
20 - 15 = z + z - z
5 = z
Step 2
How many Respondents chose all 3 online games
= n ( PUBG ∩ M)
n (PUBG ∪ M ∪ C) = n(PUB ) + n ( M ) + n (C) – n ( M ∩ PUBG) – n ( C ∩ PUBG) – n ( M ∩ C) + n (PUBG ∩ M ∩ C)
50 = 30 + 20 + 15 - 15 - 5 - 10 + n (PUBG ∩ M ∩ C)
50 = 65 - 30 + n (PUBG ∩ M ∩ C)
50 = 35 + n (PUBG ∩ M ∩ C)
50 - 35 = n (PUBG ∩ M ∩ C)
n (PUBG ∩ M ∩ C) = 15
Therefore, the number of Respondents chose all 3 online games = 15
Answer:
15
Step-by-step explanation:
Graph y=2x+4 in a coordinate plane
The standard formula for finding the equation of a line is expressed as
y = mx +b
m is the slope of the line
b is the y-intercept of the line
The slope of a line is the measure of its steepness.
Given the equation y = 2x + 4, the slope of the line is 2 and the y-intercept is 4. The y-intercept shows that the line will cut the y-axis at y = 4
The required graph of the equation is as shown in the attachment.
Learn more here: https://brainly.com/question/17003809
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
The expression is |-7-9|
You subtract the values and place absolute value bars on either side.
Evaluating that expression leads to 16 since
|-7-9| = |-16| = 16
Showing that the distance from -7 to 9 on the number line is 16 units.
{x|x=4} on number line
Answer:
4gsjjsskkdhsjdjdkrkfofkjfjfkfktjgkgofogogjtjkfogog jkjfktjt jtktktky ktktjtj
1. where does the parentheses go in 8+9÷3×6-5 to get a total of 11
2. where does the parentheses go in 5+3-8÷4-2 to get 4
3. where does the parentheses go in 7×5-10+6÷8
Answer:
1. 8+9÷3x(6-5)=11
2. 5+3-(8÷4)=4
Step-by-step explanation:
The letters of the word COMPLEMENT are written on cards and shuffled. Find the probability that the card chosen does not have the letter M written on it.
Answer: the probability would be 1:5
Step-by-step explanation: since there are 2 m you would put that on top and divide it by all the others and there are 10 of them and then simplifie it and get the answer
Answer:
P ( not M)= 4/5
Step-by-step explanation:
We want to find the probability that if a card is chosen, it does not have the letter M on it.
The probability can be found by creating a fraction with the number of cards that do not have M over the total number of cards.
P (not M) = cards without M / total cards
The word complement has 10 letters, therefore there is a total of 10 cards.
P (not M) = cards without M/ 10
There are 2 cards with an M. That will leave 8 cards without an M. (10 total cards - 2 cards with M= 8 cards without M).
P (not M)= 8/10
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
P (not M)= (8/2) / (10/2)
P (not M)= 4/ (10/2)
P (not M) = 4/5
The probability of choosing a card without the letter M on it is 4/5
If x=3 and y=-2 then
x2 - xy
x²+2y
Answer:
Step-by-step explanation:
(3)*2=6
-
(3)*(-2)=-6
6-(-6)=12
3*3=9
+2(-2)=-4
9+ -4= 5
Answer:
2.4
Step-by-step explanation:
x = 3, y = -2
x2 - xy/x² + 2y
=x2 - xy
=(3)2 - 3 × (-2)
6 - (-6)
= 12
x² + 2y
= 3² + 2(-2)
= 9 + -4
= 5
12/5
= 2.4
Subtract (3 + 2i) from (-9-81)
0 -17 – 51
0-6 – 67
0 -12 – 101
0 12 + 101
Answer:
-12 - 10i.
Step-by-step explanation:
-9 - 8i - (3 + 2i)
= -9 - 8i - 3 - 2i
= -12 - 10i.
How many times does the graph of 4x = 32 - x2 cross the x-axis ?
ОО
0 1
0 2
What are the solutions to the equation?
Answer:
x=4 orx=- 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4
x
=
−
x
2
+
32
Step 2: Subtract -x^2+32 from both sides.
4
x
−
(
−
x
2
+
32
)
=
−
x
2
+
32
−
(
−
x
2
+
32
)
x
2
+
4
x
−
32
=
0
Step 3: Factor left side of equation.
(
x
−
4
)
(
x
+
8
)
=
0
Step 4: Set factors equal to 0.
x
−
4
=
0
or
x
+
8
=
0
x
=
4
or
x
=
−
8
Answer:
Step-by-step explanation:
● 4x = 32 - x^2
Add x^2 to both sides
● 4x +x^2 = 32 -x^2+x^2
● x^2 +4x = 32
Substract 32 from both sides
● x^2+4x -32 =32-32
● x^2 +4x-32=0
That is a quadratic equation
We will use the determinant method
The determinant is b^2-4ac
● a = 1
● b = 4
● c = 32
● b^2-4ac = 4^2 -4×1×(-32) = 144
144 is positive so the parabola will cross the x-axis two times
● x = (-b -/+ √(b^2-4ac))/2a
● x = (-4 +/- 12) /2
● x = 8/2 or x= -16/2
● x = 4 or x =-8
The solutions are 4 and -8
Students are paired in teams for a group science project. The number of hours
each student spends working on the group project are recorded on the bar
chart below. If Paloma and Abdul are a team, and Ben and Min are a team,
how many more hours did Paloma and Abdul spend working on the project
combined than Ben and Min?
Answer:
They spent 4 more hours.
Step-by-step explanation:
I added up Paloma's hours and Abdul's, 21 + 18 = 39! And then I added Ben's and Min's, 13 + 22 = 35! So then I subtract 39 - 35 = 4! yay!
If I got it right can I have Brainliest thanks!
For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the student's original test score and y is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?
The question is missing alternatives. The complete question is here.
For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the student's original test score and y is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?
A. 12
B. 16
C. 28
D. 36
E. 40
Answer: B. 16
Step-by-step explanation: If you add a constant to each number at the data set, standard deviation doesn't change. However, multiplying each data in the data set by a constant, also multiplies the standard deviation by that constant.
That being said, the formulafor the adjusted test score is
y = 0.8x + 20
Adding 20 to each data doesn't change standard deviation but multiplying by 0.8 changes it.
So, the new standard deviation is
σ = 20*0.8 = 16
Standard Deviation for the adjusted test scores of the students is 16.
The function g(x) is graphed. On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5). Which statements about the function are true? Choose three options. g of 1 = negative 1 g of 0 = 0 g of 4 = negative 2 g of 1 = 1 g of negative 1 = 1
Answer:
c=(0,-9)
Step-by-step explanation:
A function g is said to be even if [tex]g(x) = g(-x)[/tex].
The statements about the function that are true, are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
From the question, we have the following points:
[tex](x_1,y_1) = (-2.3,5)[/tex]
[tex](x_2,y_2) = (0,0)[/tex]
[tex](x_3,y_3) = (2.3,5)[/tex]
We can assume that the function is an even function because the function satisfies the condition of an even function at:
[tex]g(-2.3) = g(2.3) = 5[/tex]
[tex](x_2,y_2) = (0,0)[/tex] means that:
[tex]g(0) = 0[/tex]
From the list of options:
[tex]g(1)= -1[/tex]
[tex]g(0) = 0[/tex]
[tex]g(4) = -2[/tex]
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
The true options are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
They are true because:
[tex]g(0) = 0[/tex] represents point [tex](x_2,y_2) = (0,0)[/tex]
[tex]g(1) = 1[/tex] and [tex]g(-1) = 1[/tex] satisfy the condition of an even function [tex]g(1) = g(-1) = 1[/tex]
See attachment for the graph of the function.
Read more about even functions at:
https://brainly.com/question/12862201
A cone has a circular base with a diameter of 18 inches the height of the cone is 40inches what is the approximate lateral area of the cone
Answer:
[tex]A=1158.66\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the base of a circular cone, d = 18 inches
Height of the cone, h = 40 inches
We need to find the lateral surface area of the cone. The formula of the lateral surface of the cone is given by :
[tex]A=\pi rl[/tex]
l is the slant height of the cone,
[tex]l=\sqrt{r^2+h^2} \\\\l=\sqrt{(9)^2+(40)^2} \\\\l=41\ \text{inches}[/tex], d = 18 inches, r = 9 inches
So,
[tex]A=3.14\times 9\times 41\\\\A=1158.66\ \text{inches}^2[/tex]
So, the lateral surface area of the cone is [tex]1158.66\ \text{inches}^2[/tex].
6 2/7 rational or irrational
Answer:
Rational
Step-by-step explanation:
Give brainliest or at least a thanks please!
Answer:
irrational number
Step-by-step explanation:
if it was 9/7
it was rational number