Answer:
52,500
Step-by-step explanation:
We can convert the word problem into an equation:
1.36x= 71,400
x represents the number of people in the previous population
We divide both sides by 1.36
x=52,500
The previous population was 52,500!
Hope this helps!
6j + 7 =21 -j pls show work
Answer:
Step-by-step explanation:
6j + 7 = 21 - j
Add 'j' to both sides
6j + 7 + j = 21 - j +j
7j + 7 = 21
Subtract 7 form both sides
7j + 7 - 7 = 21 - 7
7j = 14
Divide both sides by 7
7j/7 = 14/7
j = 2
Answer:
j = 2
Step-by-step explanation:
6j + 7 = 21 - j
6j + j = 21 - 7
7j = 14
j = 14/7
j = 2
Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units
PLEASE ANSWER solve x^(2)+5x+6=0
Answer:
x = -2 OR x = -3
Step-by-step explanation:
=> [tex]x^2+5x+6 = 0[/tex]
Using mid-term break formula
=> [tex]x^2+2x+3x+6 = 0[/tex]
=> x(x+2)+3(x+2) = 0
Taking x+2 common
=> (x+2)(x+3) = 0
So Either,
x+2 = 0 OR x+3 = 0
x = -2 OR x = -3
The operation *is defined by x*y=2x-y,where x and y are real numbers.Find the value of (i) y,if y *(3*y)=6
Answer:
The value of y = 4
Step-by-step explanation:
Explanation:-
Given the operation *is defined by
x*y=2 x-y,where x and y are real numbers
Given y * ( 3 * y ) = 6
⇒ y * ( 2 (3) -y) = 6 (∵ x*y=2 x-y)
⇒ y * ( 6 - y) = 6
⇒ 2 (y) - (6 - y ) = 6
⇒ 2 y - 6 + y = 6
⇒ 3 y = 6 + 6
⇒ 3 y = 12
⇒ y = 4
Verification:-
Put y =4 in given operation
L.H.S
y * ( 3 * y ) = 4 * ( 3 * 4)
= 4 * (2(3)-4) (∵ x*y=2 x-y )
= 4 * ( 6-4)
= 4 * 2
= 2(4) -2 (∵ x*y=2 x-y )
= 6
=R.H.S
y *(3*y) = 6
∴ y = 4 is satisfied
Which of the following rotations will produce a 12-sided polyhedron? ANSWERS: Rotating a 12-gon about a vertical axis running along one side Rotating a 12-gon about a vertical axis passing through the center No rotation will produce a polyhedron. The solids of rotation are non-polyhedral. Rotating a 12-gon about a horizontal axis passing through the center
Answer:
No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.
Step-by-step explanation:
Solids of rotation will always have a curved face, so they’re always non-polyhedral.
The number of months in y years
Answer:
12y
Step-by-step explanation:
There are 12 months in a year
Take the number of years and multiply by 12
12y is the number of months
Answer:
12y
Step-by-step explanation:
To find the number of months in a certain amount of years, there are twelve months in a year, so you would just multiply twelve by the number of years. Hope this helped!
Brainliest is always really appreciated :)
Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram
Answer: you need to have a line graph
stay safe
Answer:
Step-by-step explanation:
its a
14. Solve 10 + 6(-9 – 4x) = 10(x - 12) + 8.
O A. X = 17
OB. X = 2
O C. X = -18
O D. X = -6
Answer:
B
Step-by-step explanation:
[tex]10+6(-9-4x)=10(x-12)+8[/tex]
[tex]10-54-24x=10x-120+8[/tex]
[tex]-44-24x=10x-112[/tex]
[tex]-44=34x-122[/tex]
[tex]78=34x[/tex]
[tex]x=2[/tex]
What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions
Answer:
Option C.
Step-by-step explanation:
Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.
If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.
The given equations are
[tex]2x-y=7[/tex]
[tex]y=2x+3[/tex]
These equations can be rewritten as
[tex]2x-y-7=0[/tex]
[tex]2x-y+3=0[/tex]
Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].
[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.
Hence, option C is correct.
Answer:
ANSWER: C
Step-by-step explanation:
Every 7th person who enters a store is given a survey to complete. Which type of sampling method is described in this situation?
A. voluntary sample
B. convenience sample
C. simple random sampling
D. systematic random sampling
Answer:
D. Systematic Random Sampling
Pls mark as Brainliest
Write an exponential equation in the form y = ab^x whose graph passes through points (4, 8) and (6, 32).
y = 4(8)x
y = 2(0.5)x
y = 0.5(2)x
y = (0.5)x
Answer:
(1,4),(2,12)
----------
The form is y = ab^x
12 = ab^2
4 = ab^1
------------
Divide the 1st by the 2nd to get:
3 = b
--------
Substitute that into the 2nd equation to solve for "a":
4 = a*3^1
a=(4/3)
-------------
EQUATION:
y = (4/3)*2^x
==================
Step-by-step explanation:
Convert 5pi/4 radians time degree measure
Answer:225
Step-by-step explanation:
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
24=3(n−5) SIMPLIFY PLEASE ASAP
Answer:
n = 13
Step-by-step explanation:
Step 1: Distribute
24 = 3n - 15
Step 2: Add 15 to both sides
39 = 3n
Step 3: Divide both sides by 3
n = 13
Answer:
3N=39Step-by-step explanation:
3*N 3*-5
24+15=3N
N=13HELP ME ITS DUE TODAYYY
Answer:
1/11
Step-by-step explanation:
Out of eleven of the sections, Bridget only takes care of one, so she took care of one out of eleven (1/11) sections.
Hope this helped! :)
Answer:
1/11
Step-by-step explanation:
Since there are 11 equal sections in total, we know that 11 is the denominator => the amt. of garden her neighbor plants is excess info. so we can cross that out. => Bridget plants 1 section of the whole garden so that is our numerator.
Thus, we have our answer of 1/11
WILL AWARD BRAINLIEST
Note: This is the same question as #3, but the third row of the proof is different!
Statements
Reasons
0
DE || AB
Given
E
B
CDE
Given: DE || AB
Prove: AABC-
ZCE
AABCN
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
Statement Reason
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)
Find the number in the form x3579x that is divisible by 42.
Answer:
335790
Step-by-step explanation:
42=2×3×7
unit digit should be even.
sum of digits should be divisible by 3
3+5+7+9=24÷3=8
sum of other two digits should be multiple of 3
let us consider 335790
3+0=3=3×1
also 0 is even.
335790÷42=7995
Question 1(Multiple Choice Worth 4 points)
(07.06A)
What is the rate of change of the linear relationship modeled in the table?
x
- 2
5
-
4
3
1
2
O-2
0-1
01
Answer:
-1
Step-by-step explanation:
In the picture attached, the question is shown.
To compute the rate of change of the linear relationship we need two points, (x1, y1) and (x2, y2), and the next formula:
rate of change = (y2 - y1)/(x2 - x1)
Selecting points (0,3) and (1,2), notice that other selections are also possible, and replacing them into the equation we get:
rate of change = (2 - 3)/(1 - 0) = -1
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Each graph below represents a function. Drag the correct domain for each function
into the box under its graph.
CLEAR
Answer:
1st function: all negative real numbers
2nd function: all real numbers
3rd function: all real numbers except -3 ≤ x ≤ 3
4th function: all real numbers between -3 and 3
Step-by-step explanation:
In the picture attached, the question is shown.
The domain is the set of all the numbers that the independent variable (here, x) can assume.
In this exercise we have to identify which types of graph correspond and correlate them with the given sentences, in this way we find that:
1)all negative real numbers
2) all real numbers
3) all real numbers except -3 ≤ x ≤ 3
4) all real numbers between -3 and 3
So then when we deal with graph it is important to observe its axes then:
1) In the first case we have to be all negative and real numbers since it is only found in this part of the graph.
2) The second graph reports all the real numbers, that is, the numbers that are in the positive part and in the negative part.
3) The third case is very similar to the second, where we find all the real numbers, but the graph "skips" the numbers 3 and -3.
4) Finally, the last graph is just between the values of 3 and -3 with a line delimiting these values.
See more about graphs at brainly.com/question/14375099
Add the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4 ). PLS help right now.
Answer:
i belive it is 13.25
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
The sum of 1.25 and (−1 3/4) can be done as,
1.25 + (−1 3/4)
= 1.25 - 1.75
= -0.5
The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,
-0.5 + (-2 1/2)
= -0.5 - 2.5
= -3
Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
pls help me with this algebra question
Step-by-step explanation:
Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.
-36 -117
-27 -98
-18 -79
We note that for every increase of 9 in x, there is an increase of 19 in y.
so continuing:
-9 -60
0 -41 (y-intercept)
Answer: y-intercept is (0,-41)
if a square is dilated by a factor of 2 what is the measure of each individual angle
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
The measure of each individual angle will be of 90°
What is a quadrilateral ?A quadrilateral is a 2D figure which has 4 sides.
According to the given question a square is dilated by a factor of 2.
Suppose the side of the original square was x cm.
∴ We know the area of he square will be side² which is
= (x)²
= x².
Now the square is dilated by a factor of 2.
∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².
But the measure of each individual angle will be same and they are all of 90°.
learn more about quadrilateral here :
https://brainly.com/question/13805601
#SPJ2
Which of the following is a solution of the system x – 2y < 4 and y > – 2x – °5?
o (1, -4)
0 (-8, 2)
O (0,0)
0 (-3,0)
Answer: B
Step-by-step explanation:
Given the two systems of inequality to be:
x – 2y < 4
Rearrange the equation,
X - 2y < 4
-2y < 4 - x
The sign will change as we divide both sides by -2
Y > -2 + x/2
Y > x/2 - 2 ...... (1)
and
y > – 2x – 5 ..... (2)
Multiply (1) by 2 and (2) by 1/2
2y > x - 4
y/2 > -x - 5/2
Since the inequality sign of the two are the same, you can eliminate x by addition.
2 1/2 y > - 4 5/2
Change mixed fraction to improper fraction.
5y/2 > -13/2
Cross multiply
10y > -26
y > -26/10
y > - 2.6
Base on the value got for y, the correct answer is B ( -8, 2 ) because only option B and D has negative value for x and y is not equal to zero.
You confirm by plugging in the value in the two inequality equations.
Which of the following information would prove the quadrilateral ABCD is a rectangle?
Question 2 options:
a) The length of segment AB and CD is 5 units and length of segment BC and DA is 12
b) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
c) Slope of AB = 2, Slope of BC = -3/2, Slope of CD = 2, and slope of of DA = -3/2
d) Slope of AB = 2, slope of CD = 2, and the length of segment AB and CD is 5.
Answer:
The correct option is B
B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
Step-by-step explanation:
A rectangle has the following features:
Opposite sides are equalOpposite side are parallel (same slope)all the interior angle are 90° (adjacent sides are perpendicular)
Considering these point, the best options is B because:
AB || CD = opposite sides have same slope 2 (they are parallel)
BC || DA = opposite sides have same slope -1/2 (they are parallel)
For 2 lines to be perpendicular:
Slope of line 1 = -1/ (Slope of line 2)
Let line 1 be AB and line 2 be BC
Slope of AB = -1/(Slope of BC)
2 = -1/(-1/2 )
2=2
Hence proved
As two points are true, third point will also be true
In one year, a satellite orbiting the Earth travels 9.6 x 10^10 m (meters). Which
of the following is the best way to rewrite this quantity, using more
appropriate units?
A. 9.6 x 10^10 m
O B. 9.6 x 10^7 km
O C. 9.6 x 10^12 cm
D. 9.6 x 10^13 mm
Answer: B: 9.6 x 10 7 km
Step-by-step explanation:
What is the measure of angle C?
A. 147°
B. 114
c. 33
D. 66
Answer:
B. 114 deg
Step-by-step explanation:
Since sides AC and BC are congruent, then angles A and B are congruent.
m<A + m<B + m<C = 180
33 + 33 + m<C = 180
m<C + 66 = 180
m<C = 114
PLEASE HELP ASAP!!! What is the standard form for the quadratic function? g(x) = (x + 5)^2 −1
g(x)= x^2 − 10x − 26
g(x)= x^2 + 24
g(x)= x^2 − 26
g(x)= x^2+10x + 24
Answer:
g(x)= x^2+10x + 24.
Step-by-step explanation:
g(x) = (x + 5)^2 −1
= x^2 + 5x + 5x + 25 - 1
= x^2 + 10x + 24
g(x)= x^2+10x + 24 is your answer.
Hope this helps!
Answer:
the answer is g(x)=x^2+10x+24.
Step-by-step explanation:
here,
=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)
=x^2+10x+25_1
=x^2+10x+24... is answer
hope its helpful to uh..