Answer:
[tex]21.9 * 10^{10}[/tex] Population of the Country Now .
Step-by-step explanation:
According to the Question,
Given, A small country had a population of [tex]7.1 * 10^{10}[/tex] in 1990. Since then, the original population has doubled Thus The Population as of Now is [tex]2*7.1 * 10^{10} =[/tex] [tex]14.2 * 10^{10}[/tex] And [tex]7.7 * 10^{10}[/tex] people have immigrated into the country Thus, The New Population of the Country is [tex]14.2 * 10^{10} + 7.7 * 10^{10} =[/tex] [tex]21.9 * 10^{10}[/tex] .A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Answer:
Step-by-step explanation:
From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.
Cannot seem to figure this one out.
Answer:
cosB = 2√6 / 7
Step-by-step explanation:
use the pythagorean theorem to find the missing side
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 24
a = √24
a = 2√6
--------------------------
cosB = adj/hyp
cosB = 2√6 / 7
I NEED IT FASSSTTTTTT
Answer:
1/3 & option 1
Step-by-step explanation:
24) you are given the angle of red, and a circle is 360 degrees in all so:
red/full circle = 120/360 = 1/3
8) option 1 = a^2 + b^2 = c^2
Answer:
24)1/3
8)option 1
Step-by-step explanation:
1○=360°
120°/360°=1/3
a2+b2+=c2
Which interval would not be used for the stems of a stem-and-leaf plot?
1
5
10
100
PLEASE HELP 100 IS NOT RIGHT
Answer:
I JUST DID IT ITS 5.
Answer:
5
Step-by-step explanation:
PLEASE HELP AND IF POSSIBLE WITH SOLOUTIONS PLEASE. VIEW THE PICTURE.
-NO TROLLS PLEASE. IM SICK OF TROLLS.
Answer:
A ≈ 26.6° (nearest tenth)
Step-by-step explanation:
The diagram shows a right triangle. To solve for A, we would apply trigonometric ratio formula.
Reference angle = <A
Opposite = 6 m
Adjacent = 12 m
Apply TOA
Tan A = Opp/Adj
Substitute
Tan A = 6/12
Tan A = 0.5
A = [tex] Tan^{-1}(0.5) [/tex]
A ≈ 26.6° (nearest tenth)
Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).
A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The desired expression can be expanded to the sum of products form ...
A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)
It will only be true when A is true and one of B or C is false.
Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?
Answer:
[tex]Union = 15[/tex]
Step-by-step explanation:
Given
[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]
Solving (a): Possible union elements
This is the represented by element with the largest number of the sets
i.e.
[tex]Union = 15[/tex]
Solving (b): Possible intersection elements
This is the represented by element with the least number of the sets
i.e.
[tex]Intersection = 5[/tex]
A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.
I need help with the last one ....please no links or I will report you
Answer:
x0.046*3=15000
x0.045=5000
x=111111.111111
so you have to deposit 111111.12 every month
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 6 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results.
At least _% of the exam scores fall between _ and _.
Simplify your answers.
Answer:
At least 75% of the exam scores fall between 72 and 96.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
Apply Chebychev's Theorem to the data using k=2.
k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.
In this question:
Mean of 84, standard deviation of 6.
84 - 2*6 = 84 - 12 = 72
84 + 2*6 = 84 + 12 = 96
At least 75% of the exam scores fall between 72 and 96.
write even number between 10 and 20
Solve for x in the parallelogram below
Options
x=8
x=6
x=10
x=60
Answer:
y=6 , x=8
Step-by-step explanation:
3y - 2 = 4y - 8 (opposite sides of a parallelogram are equal)
-2 + 8=4y - 3y
6=y
2x -4 =x +4 (opposite sides of a parallelogram are equal)
2x -x=4+4
x=8
What is A number divided by 82
Answer:
Hey there, Lets solve this step by step.
A number t divided by 82
Let the number be represented by y.
t divided by 82 = t / 8
Therefore-
In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.
Step-by-step explanation:
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Pls show work I get different answers from people every time
What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8
Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?
The gap consists of the values 6 and 7.
Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.
Answer:
The gap is present around 6 & 7
Step-by-step explanation:
Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.
What is the solution of the system of equations graphed below?
Answer: B
Step-by-step explanation: Look at where the lines intersect
f(x) = 2x3 + 5x^2 - 6x - 7
g(x) = 2x - 3
Find (f - g)(x).
9514 1404 393
Answer:
(f-g)(x) = 2x^3 +5x^2 -8x -4
Step-by-step explanation:
(f -g)(x) = f(x) -g(x)
(f -g)(x) = (2x^3 +5x^2 -6x -7) -(2x -3) = 2x^3 +5x^2 -6x -7 -2x +3
(f -g)(x) = 2x^3 +5x^2 -8x -4
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would be less steep than the original graph, and the y-intercept would shift down 2 units. B. The new graph would be less steep than the original graph, and the y-intercept would shift up 3 units. O C. The new graph would be steeper than the original graph, and they intercept would shift down 2 units. D. The new graph would be steeper than the original graph, and the y intercept would shift up 3 units.
D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.
The purple line is y=-5x + 2
The pink line is y = -7x + 5
Help with those math probelm please
Answer:
170 books
Step-by-step explanation:
Each book equals 10 books. So 17x10 equals your answer! (170)
Good luck to you!
hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carpeting in dollars per square foot
Answer:
4.78
Step-by-step explanation:
1202.17/251.5 = 4.78
4.78 per unit
Answer:
$4.78 per square foot
Step-by-step explanation:
Find the unit cost by dividing the total cost by the number of square feet:
1,202.17/251.5
= 4.78
So, the unit cost is $4.78 per square foot
Find the area
76 sq. Meters
60 sq. Meters
30.5 sq. Meters
65 sq. Meters
Answer:
76 sq. meters
Step-by-step explanation:
10 · 4 = 40m
2 · 6 = 12m
8 · 6 = 48/2 = 24m
40 + 12 + 24 = 76 sq. meters
If you are just given the two points it is the same formula. Find the midpoint between the points (4,-5) and (-4,5)
mid point =((4+(-4))/2,(-5+5)/2)
=(0,0)
The midpoint between the points (4, -5) and (-4, 5) is (0, 0).
To find the midpoint between two points ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), you can use the midpoint formula:
Midpoint = [tex]((x_1+ x_2)/2, (y_1+ y_2)/2)[/tex]
In this case, the two points are (4, -5) and (-4, 5).
So, the midpoint using the formula:
[tex]x_1[/tex] = 4
[tex]y_1[/tex] = -5
[tex]x_2[/tex]= -4
[tex]y_2[/tex] = 5
Midpoint
= ((4 + (-4)) / 2, (-5 + 5) / 2)
= (0 / 2, 0 / 2)
= (0, 0)
Therefore, the midpoint between the points (4, -5) and (-4, 5) is (0, 0).
Learn more about midpoint here:
https://brainly.com/question/24089949
#SPJ2
Which pair of undefined terms is used to define a ray?
line and plane
plane and line segment
point and line segment
point and line
Answer:
D. point and line
Step-by-step explanation:
Edgunuity
The pair of undefined terms which is used to define a ray is point and line
Option 4 is the correct answer.
What are a line, line segment, and ray?Line - It has no fixed points it extends infinitely on both ends.
Line segment - It has two fixed endpoints and does not extend infinitely on any end.
Ray - It has one fixed point on one side and extends infinitely on the other side.
We have to define a ray.
A ray will have a fixed point on one end and extends infinitely on the other end.
i.e a point and a line.
Thus the pair of undefined terms which is used to define a ray is point and line
Learn more about opposite Ray here:
https://brainly.com/question/17491571
#SPJ5
Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3
1/8
1/4
1/2
Answer:
1/2
Step-by-step explanation:
Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers
3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2
Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)
Answer:
7 solutions
Step-by-step explanation:
Solve for y and x
3x+4y=18.50. 5x+8y=14.50
Answer:
(5/2, 1/4)
Step-by-step explanation:
See Image below:)
A store sold 26 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. If $290.75 worth of sweatshirts were sold, how many of each were sold?
x+y=__
$__x+$__y=$290.75
Answer:
15 white shirts and 11 yellow shirts were sold.
Step-by-step explanation:
15 × 10.95=164.25
11 × 11.50=126.5
126.5+164.24=290.75
Find all the zeros of f(x) = 2x - 5x² - 4x + 10.
Answer:
10
Step-by-step explanation:
Plug in 0 where x is
See image below:)
Two angles are supplementary. One angle measures (3x + 2) degrees. The other angle measures twice that amount. What equation could be used to solve for x?
Answer:
I do not know the equations given but here's my equation and solution:
9x = 174°
x = 19 1/9°
Step-by-step explanation:
(3x + 2) + 2(3x + 2) = 180°
3x + 2 + 6x + 4 = 180°
9x + 6 = 180°
9x = 174°
x = 19 1/9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K