Answer:
The population of India would reach 3 billion in about 112 years (year 2128)
Step-by-step explanation:
1. subtract 1.327 billion by 1.053 billion (1.327-1.053)
2. The answer you should get is 274,000,000 (two hundred seventy four million)
3. multiply 274,000,000 by 7 (amount of people required to reach about 3 billion)
4. add the product (ans to multiplication problem) to 1.327 billion. (you should get 3.245 billion (3245000000).
5. multiply 16 by 7 (16x7) to get the number of years to reach 3 billion (maybe 112)
6. Add the product to 2016
7. Therefore you get the year 2128.
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1
Answer:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)Determine the slope (m):
[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]
The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
To find the y-intercept, plug in the given point (6,14) and solve for b:
[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]
Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
I hope this helps!
horace’s speedometer reada 60 miles per hour, but during a road test he finds that he was actually driving 58 mph. what is the percent error in horace’s speedometer?
Answer:
3.4%
Step-by-step explanation:
describe a pattern or sequence 5, 3, 1, -1...
Answer:
Step-by-step explanation:
The first member of the pattern is 5
Thereafter, you subtract 2 from the member on the left
5 - 2 = 3
3 - 2 = 1
1 - 2 = - 1
2.) Use rigid motions to explain whether the triangles in the graph are congruent.
What are the coordinate rules that were used to map one triangle to the next?
1st rule:
2nd rule:
Answer:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
Step-by-step explanation:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
MJS: (4,-4) (-2,-3) (-3,1) -> (-4,4) (-2,3) (-3,-1) -> (2,4) (4,3) (3,-1)
They are congruent!!
Madelyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $22 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does she earn if she works 11 hours at the grocery store and 10 hours at the nursery? How much does she earn if she works gg hours at the grocery store and nn hours at the nursery?
Answer:
242$ in grocery store and 210$ in nursery
Step-by-step explanation:
Please help I need to turn this in tonight
Answer:
f(x) = - (x + 3)² + 12Step-by-step explanation:
The vertex form:
f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a- the leading coefficientWe have on the graph:
(h, k) = (-3, 12)Substitute into equation:
f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12Use the point (0, 3) to find the value of a:
3 = a(0 + 3)² + 123 = 9a + 129a = 3 - 129a = - 9a = -1So the function is:
f(x) = - (x + 3)² + 12Find the slope of the line
(2,3) (13,8)
Answer:
[tex]\boxed{m=\frac{5}{11}}[/tex]
Step-by-step explanation:
[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]
[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]
[tex]Slope(m)=\frac{8-3}{13-2}[/tex]
[tex]m=\frac{5}{11}[/tex]
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls
Answer:
19y - 9
Step-by-step explanation:
- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3
= 12y - 9 + 7y ← collect like terms
= 19y - 9
Someone that understands this please help!ASAP it’s 8th grade math
Answer:
simple ( principal *rate*time)/100.
3500*4*10/100 = 1400 interest
account balance =3500+1400=4900
compound p(1+r)^t
3500(1+.04)^10 =3500* 1.480=5180
interest earned = 5180-3500= 1680
how much more interest. ; 1680-1400=280
Answer:
Step-by-step explanation:
Simple Interest:
Simple Interest formula is S.I. = P × r × t
Interest Eared: $3,500 × 0.04 × 10 = $1,400
Account Balance formula is A = P ( 1 + rt )
Account Balance: $3,500 + $1,400 = $4,900
Compound Interest:
Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]
Account balance: $5,180.85
Interest Earned: $5,180.85 - 3,500.00 = $1,680.85
Which graph shows the solutions to |x − 2| = 2 ?
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
It rained 20% of the time during Sping. There are 90 days in Spring. How many total dayd did it rain?
Answer: 18 days
Step-by-step explanation: you multiply 90 by 0.2 and you get 18
Write −1.5⎯⎯ as a mixed number in the simplest form.
Answer:
1 1/2
Step-by-step explanation:
to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers
which of the ratio equivalent to 1:3 select all that apply
Answer:
4:12
6:18
8:24
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
en una reunión de 162 alumnos había 15 hombres mas que 6 veces las mujeres ¿cuantos hombres y cuantas mujeres habra?
This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were 15 men more than 6 times the women, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
Learn more here: https://brainly.com/question/13805464
pls give the steps and the reasons
Answer:
m<ADB = m<DBC
because they're alternate interior angles.
m<ABD = m<BDC
because they're alternate interior angles.
DC = AB, opposite sides.
AD = BC, opposite sides.
m<ADB = m<ABD, adjacent angles.
m<BDC = m<DBC, adjacent angles.
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
hi please help me thanksss
pls provide workings too thanks :)
Step-by-step explanation:
Search for questions & chapters
Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Equations
>>Solve for x: sin x + sin 2x...
Question
Bookmark
Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
Medium
Solution
verified
Verified by Toppr
We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula
The distance across a two lane road
In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).
Select all solutions for the equation (3x + 5)(2x + 8) = 0
Answer:
Step-by-step explanation:
3(x − 5) − 5x = −25 + 6x
x=5/4
the explantion would be to long lol
Answer:
x = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side
3x - 15 - 5x = - 25 + 6x
- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )
- 8x - 15 = - 25 ( add 15 to both sides )
- 8x = - 10 ( divide both sides by - 8 )
x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]
Paying $38.50 for 12 pounds of apples
Answer:
If you pay $38.50 for 12 pounds of apples it costs $3.20833333333 per pound.
Step-by-step explanation:
This graph gives the temperature of Substance B over time.
What is the slope of the line, and what does the slope mean in this situation?
Select from the drop-down menus to correctly complete the statement.
The slope is , which means that the temperature by degrees every
Answer:
The slope is (4) which means that the temperature (increases) by (4) degrees every minute
Step-by-step explanation:
Find the measure of the missing angles
Answer:
m∠1 = 63
m∠2 = 49
m∠3 = 87
m∠4 = 44
Step-by-step explanation:
Angle 2 and 49 are similar
Angle 2 = 49
Angle 1 + 49 + 68 = 180
180 - 49 - 68 = Angle 1
180 - 49 - 68 = 63
Angle 1 = 63
Angle 3 + 93 = 180
180 - 93 = Angle 3
180 - 93 = 87
Angle 3 = 87
Angle 4 + 49 + 87 = 180
180 - 49 - 87 = Angle 4
180 - 49 - 87 = 44
Angle 4 = 44
Step-by-step explanation:
A straight angle measures 180°.
m∠3 = 180 - 93
m∠3 = 87
The sum of the three angles of any triangle is equal to 180°.
m∠4 = 180 - (49 + 87)
m∠4 = 180 - 136 = 44
The vertically opposite angle.
so m∠2 = 49
The sum of the three angles of any triangle is equal to 180°.
m∠1 = 180 - (68 + 49)
m∠1 = 180 - 117 = 63
please give me a brainliest answer
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
Help please thank you!
Answer:
g(f(x)) = x
Yes, the functions are inverses.
Step-by-step explanation:
Hi there!
We're given:
[tex]f(x) = 8x-7[/tex]
[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]
To solve for g(f(x)), plug f(x) into g(x) as x:
[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]
Because g(f(x)) = x, the two functions are inverses.
I hope this helps!
=
The length of a rectangular room is 15 feet longer than the width. If the room's perimeter is 250 feet,
what are the room's dimensions?
Width = 70 ft; length = 280 ft
Width = 55 ft; length = 70 ft
Width = 70 ft; length = 35 ft
Width = 55 ft; length = 220 ft
Answer:
B. Width = 55ft; length = 70ft
Step-by-step explanation:
it is the only one in which the length is 15 ft longer than that of the width.
RIGHT
ACUTE
OBTUSE
EQUIANGULAR
Step-by-step explanation:
option B is correct answer ( Acute angle triangle)
hope this helps you.
Answer:
Acute triangle
Step-by-step explanation:
Acute triangle have less than 90 degrees
Solve the following quadratic equation.
d²-5d+6=0
Answer:
[tex]d=2[/tex] and [tex]d=3[/tex]
Step-by-step explanation:
[tex]d^2-5d+6=0[/tex]
[tex](d-2)(d-3)=0[/tex]
[tex]d=2[/tex] and [tex]d=3[/tex]