Answer:
9.89 billion
Step-by-step explanation:
At that rate of growth, the population is multiplied by 1.023 each year. After 22 years, the population would be ...
6·1.023^22 ≈ 9.89 . . . billion
Answer:
Let the equation for the population (P) growth be given by
P = P0ert, where P0 is the initial population in billioins at time t,
t is the number of years since 1987,
r is the rate of growth of population/year
In this case P0 = 5 billion and r = 0.02. Putting these values into the equaation:
P = 5e0.02t
Year 1995 is 8 years after 1987, then the population would be
P = 5e0.02*8 = 5e0.16 ≈ 5.87 billion people
Step-by-step explanation:
What is the remainder R when the polynomial p(x) is divided by (x + 5)? Is (x + 5) a factor of p(x)?
p(x) = x3 - 5x2 + 2x - 10
A) R = 0, no
B) R = 0, yes
C) R = -270, no
D) R = -270, yes
Answer:
R= -270, no
Step-by-step explanation:
Suppose that F(x) = x2 and G(X) = -3x3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
The graph of G(x) is the graph of F(x) flipped over the x-axis and stretched vertically.
Step-by-step explanation:
What is the diameter of this circle?
A)
2.5 cm
B)
3.14 cm
C)
5 cm
D)
10 cm
Answer:
D) 10 cmStep-by-step explanation:
hence solve the equation x^3+x^2-6x=0
The solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x³ + x² - 6x = 0
x cube plus x square minus six times of x equal to zero.
Take x as common
x(x² + x - 6) = 0
Now factorize the equation within the parenthesis
x(x² + 3x - 2x - 6) = 0
x[x(x + 3) - 2(x + 3)] = 0
x(x - 2)(x + 3) = 0
Now
x = 0
x - 2 = 0 => x = 2
x + 3 = 0 => x = - 3
Hence, the solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
To learn more on Equation:
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Final answer:
The equation [tex]x^3 + x^2 - 6x = 0[/tex]is factored into x(x + 3)(x - 2) = 0 to find the roots, which are x = 0, x = -3, and x = 2.
Explanation:
To solve the equation [tex]x^3 + x^2 - 6x = 0[/tex], we first recognize that the equation is not a quadratic, but a cubic equation. However, we can factor out an x, which simplifies the equation to [tex]x(x^2 + x - 6) = 0.[/tex]The cubic term now has been factored into a linear term and a quadratic term. The quadratic equation [tex]x^2 + x - 6[/tex] can be factored further into (x + 3)(x - 2).
The roots of the equation are the values of x that make the equation equal to zero. By setting each factor equal to zero, x = 0, x + 3 = 0, and x - 2 = 0, we find the solutions to be x = 0, x = -3, and x = 2.
An____solutions is a value that arises from the algebraic method of solving but is NOT a solution of the original
equation.
Answer: an infinity many solutions
Step-by-step explanation:
If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.
Final answer:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation.
Explanation:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation. Extraneous solutions can occur when certain algebraic manipulations are performed that introduce additional solutions that are not valid in the context of the problem. For example, if we square both sides of an equation, we may introduce extraneous solutions. These extraneous solutions need to be identified and discarded when solving equations.
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey. Of graduates in the sample, what fraction came from university A?
https://gyazo.com/024c033fb3022b87aee5e6ca3695277b
75 graduates from University A had an income under $20,000.
From the two-way table, we can see that 35 graduates from University A had an income under $20,000. In addition, 40 graduates from University B had an income under $20,000. However, we should not simply add these two numbers together, as some graduates from each university may have been counted twice.
To avoid double counting, we need to look at the total number of graduates who responded to the survey. This number is 35 + 90 + 35 + 37 = 197. Therefore, we know that there were 197 unique graduates who responded to the survey.
Since there were 197 unique graduates and 40 graduates from University B had an income under $20,000, this means that there must have been 197 - 40 = 157 graduates from University A who responded to the survey.
Finally, we can see from the two-way table that 35 graduates from University A had an income under $20,000. Therefore, there were a total of 75 graduates from University A who had an income under $20,000.
Question
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
How many graduates from University A had an income under $20,000?
________graduates
Plssss help me, I’ll mark y’all brainliest
Answer:
1 ray is intersecting point O
Step-by-step explanation:
A ray can be defined as a part of a line that has a fixed starting point but no end point.
AD and EC both go on forever but OB has one endpoint and goes on forever.
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth.
Use 3.14 for
cubic inches
Answer:
[tex]V=753.6\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
Radius of a paint can, r = 4 inches
Height of a paint can, h = 15 inches
We need to find the volume of the paint can. We know that the shape of a paint can is in the form of cylinder such that the volume of cylinder is given by :
[tex]V=\pi r^2h[/tex]
Substituting all the values we get
[tex]V=3.14\times (4)^2\times 15\\\\V=753.6\ \text{inches}^3[/tex]
So, the volume of the paint can is 753.6 cubic inches.
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Answer: D.
Step-by-step explanation:
To solve this problem, you first need to find the distance between the center and the point on the circle. This will give you your radius.
There are 12 units between -2 and 10 on the x-axis.
There are 5 units between 5 and 10 on the y-axis.
To find the distance of the slope, you can treat the distance as the hypotenuse and the distances of the two sides as your variables.
Using the Pythagorean theorem:
12^2 + 5^2 = 13^2. Your radius is 13 units long.
The equation for a circle is shown as the following:
[tex](x - h)^{2} + (y - k)^{2} = r^2[/tex]
Where the center is (h, k), and the radius is r.
When the center is at (-2, 10) and the radius is 13, then the equation is shown here:
[tex](x +2)^2 + (y - 10)^2 = 169[/tex]
Answer: D
Step-by-step explanation:
The temperature in Denver is –7° Fahrenheit (F). Rounded to the nearest tenth, what is the temperature in Celsius (C) using the conversion formula C = (5F - 160)/9?
13.9° C
21.7° C
-21.7° C
-13.9° C
Answer:
england is NOT my city
stop calling it london
Step-by-step explanation:
jake paul is my bf
Answer: the answer is c if im correct
Step-by-step explanation:
The weights of six animals at the zoo is shown in the table below.
weight of Animals
(LBS)
5
24
38
52
66
85
what is the mean absolute deviation? round to the nearest tenth. _____
(don't guess or lie to your answers pls)
Answer:
22.7
Step-by-step explanation:
The required mean absolute deviation is 22.9, rounded to the nearest tenth.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
The mean weight of the animals is 44.3.
To find the mean absolute deviation, we take the absolute value of the difference between each weight and the mean, and then take the average:
= (|5-44.3| + |24-44.3| + |38-44.3| + |52-44.3| + |66-44.3| + |85-44.3|) / 6
= (39.3 + 20.3 + 6.3 + 8.3 + 22.3 + 41.3) / 6
= 137.5 / 6 = 22.9
So the mean absolute deviation is 22.9, rounded to the nearest tenth.
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k(x) = x -2
h(x) = 32 +1
(h + k)(2) =
Can anyone help me with this?
Look at the attached picture ⤴
Hope it will help u ..
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
Answer: gallons
Step-by-step explanation:
Answer:Gallons
Step-by-step explanation:
You got to think of a pool and then relate it to the other measurements
1. The y value in y=mx+b would be considered to be the *
a. input
b. output
c. slope
d. y-intercept
2. The m in the equation y=mx+b would be considered the: *
3. Pick all of the correct responses: The b in the equation y=mx+b would be considered the: *
a. y-intercept
b. slope
c. input
d. rise/run
4. You've been given the equation y=-5x+4. Solve for y when x is -2. *
5. You've been given the equation y=3x-3. Solve for y when x is 0. *
a. 0
b. 3
c. 2
d. -3
6. You've been given the equation y=2x-12. Solve for y when x is 4. *
7. You've been given the equation y=6x. Solve for y when x is 2. *
a. 0
b. 6
c. 9
d. 12
8.You've been given the equation y=3x+1. Solve for y when x is 1. *
a. 4
b. 3
c. 2
d. 1
9. You've been given the equation y=-.25x+7. Solve for y when x is 8. *
10. You've been given the equation y=-3x-9. Solve for y when x is -5. *
Answer:
1. Output
2. Slope
3. y-intercept
4. y = 14
5. y = -3
6. y = -4
7. y = 12
8. y = 4
9. y = 5
10. y = 6
Step-by-step explanation:
To solve problems 4-10, plug in the given values and simplify the equations.
4. y = -5(-2) + 4
y = 10 + 4
y = 14
5. y = 3(0) - 3
y = 0 - 3
y = -3
6. y = 2(4) - 12
y = 8 - 12
y = -4
7. y = 6(2)
y = 12
8. y = 3(1) + 1
y = 3 + 1
y = 4
9. y = -0.25(8) + 7
y = -2 + 7
y = 5
10. y = -3(-5) - 9
y = 15 - 9
y = 6
If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much elevation have you gained in feet (5280ft = 1 mile). Round to the nearest foot.
3450ft
3998ft
3960ft
2760ft
The elevation gained after travelling 1.5 miles will be 3960ft.
Step-by-step explanation:
Angle of elevation = 30°
Distance travelled= 1.5 miles
1 mile = 5280 ft.
1.5 miles = 5280 x 1.5
= 7920 ft.
The height from the ground can be calculated by,
sin 30° = height / 7920
1/2 = height / 7920
Height = 7920/2
= 3960 ft.
The elevation gained after travelling 1.5 miles will be 3960ft.
Final answer:
To determine the elevation gain over 1.5 miles on a road with a 30° angle of elevation, the sine function reveals that the elevation gain is 0.5 * 1.5 miles * 5280 feet/mile, which calculates to approximately 3960 feet.
Explanation:
To calculate the elevation gain when traveling 1.5 miles on a road with a 30° angle of elevation, we can use trigonometric functions. Specifically, the sine function is useful, because it relates the angle of a right triangle to the ratio of the opposite side (elevation gain) over the hypotenuse (distance traveled).
The sine of a 30° angle is 1/2, and if the hypotenuse is 1.5 miles, we can find the length of the opposite side by multiplying:
sine(30°) = elevation gain / (1.5 miles)
0.5 = elevation gain / (1.5 miles * 5280 feet/mile)
elevation gain = 0.5 * 1.5 miles * 5280 feet/mile
elevation gain = 0.5 * 1.5 * 5280 feet
elevation gain ≈ 3960 feet
Therefore, you would gain approximately 3960 feet in elevation after traveling 1.5 miles on the road.
Which option below gives the formula of k(x) = g(x) × h(x)?
k(x) = 2^x + 1
k(x) = x 2^x - 1
k(x) = 2^x - 1
k(x) = x 2^x + 1
Answer:
the answer is the the 3rd one
Final answer:
The correct formula for k(x) = g(x) × h(x), given that g(x) is an odd function and h(x) is an even function, is k(x) = x 2ⁿ - 1.
Explanation:
The student is asking which formula represents k(x) = g(x) × h(x). Given the functions g(x) = x³ - 3x and h(x) = e⁽¹x², and knowing that the product of an odd function and an even function is an odd function, the correct representation of k(x) will also be an odd function.
From the provided options, the correct formula must satisfy the conditions of being an odd function, meaning that k(-x) = -k(x). This property holds only for option two, k(x) = x 2ⁿ - 1, because this is the only option where k(x) changes sign when x is replaced with -x, fulfilling the criteria of an odd function.
help me examine this stem and leaf plot!
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answer:
Low
Step-by-step explanation:
The tick marks of 40 and 50 are the same on both number lines (each data set has one dot shown over both the 40 and 50 mark). However, nothing else is the same or similar on the data sets, so their overlap is low.
In a science class, Paula made a mixture by adding 2.05 milliliters of
hydrogen peroxide and 6.15 milliliters of water together. Equal amounts of
the whole mixture were poured into 5 empty containers. How much of the
mixture, in milliliters, did she pour into each container?
Answer:
1.64 ml
Step-by-step explanation:
2.05 + 6.15 = 8.2
8.2 / 5 = 1.64
Paula poured 1.64 milliliters of the mixture into each of the 5 containers after combining the volumes of hydrogen peroxide and water to get a total volume of 8.20 milliliters.
Explanation:To find the amount of the mixture Paula poured into each container, we first need to calculate the total volume of the mixture she made by adding the volume of hydrogen peroxide to the volume of water.
The total volume of the mixture is 2.05 milliliters of hydrogen peroxide plus 6.15 milliliters of water, which equals 8.20 milliliters. Since the mixture was evenly distributed into 5 containers, we divide the total volume by the number of containers.
Amount per container = Total volume / Number of containers
Amount per container = 8.20 milliliters / 5 containers
Amount per container = 1.64 milliliters
Therefore, Paula poured 1.64 milliliters of the mixture into each container.
What is the y- intercept of
y= 3 - 4x
The y-intercept of the equation y=3-4x is the constant term, which is 3. Hence, the line crosses the y-axis at the point (0, 3).
Explanation:The y-intercept of the equation y = 3 - 4x can be found by looking at the constant term in the equation, which is the term without the 'x'. In this case, the constant term is 3. Therefore, the y-intercept of the line is the point (0, 3) where the line crosses the y-axis; that is when x=0, y=3.
In the linear equation \(y = 3 - 4x\), the y-intercept occurs when \(x = 0\). To find the y-intercept, substitute \(x = 0\) into the equation:
\[ y = 3 - 4(0) \]
This simplifies to \(y = 3\). Therefore, the y-intercept is \(y = 3\). In terms of interpretation, the y-intercept represents the point where the graph intersects the y-axis, indicating that when x is zero, the corresponding y-value is 3. So, the y-intercept for this equation is the point (0, 3) on the coordinate plane.
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4.2x - 7.8
Answer:
(2.4, -1.2)
Step-by-step explanation:
Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.
What percent of 105 is 63 (round to the nearest hundredth)
Answer:
60
if you use a calculator then 63÷105×100
Hope this helps!
Select each set of events that are independent.
Roll a number cube, then flip a coin
Roll two number cubes
Pick a green candy from bag, eat the candy, then pick a yellow candy from a different bag
Pick a Jack from a deck of cards, don't put it back, then pick a King from the same deck
Pick a blue candy from a bag, eat the candy, then pick a red candy from the same bag
Pick a yellow marble from a bag, don't put it back, pick a green marble from the same bag
which ones are independent?
Answer:
Options A, B and C are all independent events while the rest are all dependent events.
Step-by-step explanation:
Please kindly check the attached files for explanation.
HELP ASAP!
Solve by using Elimination.
2x - y = -3
3x + 4y = -32
A. (1, 4)
B. (-1, 1)
C. (-4, -5)
D. (0, 3)
Answer:
c
Step-by-step explanation:
Can you help please
I don't think I can answer it
Answer:
Step-by-step explanation:
area=area of trapezium ABCD with parallel sides 6 ft and 4 ft separated by distance 4 ft.+ area of square CEGD
=1/2(6+4)×4+4×4
=1/2 (10)×4+16
=20+16
=36 ft²
which expression is equivalent to x + 1 − x + 2x + x + 1? A)3x B)3x + 1 C)3x + 2 D)4x + 1
|4x−4(x+1)|=4
find x
Answer: x= 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
Simplify: (Show steps)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
2x /2 = 10 /2
x=5
Any help? Also please explain how you got the answer
Answer:
C (i think i did it correctly)
Step-by-step explanation:
9 times 12 is 108 -> 108 - 60 = 1 hour and 48 minutes -> 48 plus 4 = 7:52am
A teacher conducted survey of one of her classes to see where some of her students had eaten over the last month and displayed this data in the table below.
Which students would be in the set (chic-fil-a)?
(Just the first letter of each student’s name is shown in the sets below)
Question 8 options:
{a,b,g,j,k}
{c,d,e,f,h,i}
{A,c,d,f,h,i}
{C,d,e,f,h,j,k}
Answer:
{a,b,g,j,k}
Step-by-step explanation:
Alan
Bethe
Gail
Jen
Kali