Answer:
9 years
Step-by-step explanation:
Its right
Using the exponential growth formula, it will take approximately 8 years for a population of 20,000 growing at 2.5% per year to reach 24,700.
Explanation:To determine how long it will take for a town with a population of 20,000 to grow to 24,700 with an annual growth rate of 2.5%, we can use the formula for exponential growth: P = P0ert, where P is the future population, P0 is the initial population, r is the growth rate, and t is time in years.
First, we convert the growth rate to a decimal, so 2.5% becomes 0.025. Our equation will look like this: 24,700 = 20,000e(0.025t). Taking the natural logarithm of both sides gives us ln(24,700/20,000) = 0.025t.
We can use a calculator to find that ln(24,700/20,000) ≈ 0.2112, and so 0.2112 = 0.025t. Dividing both sides by 0.025 gives us t ≈ 8.448. We round this to the nearest whole number to find that it will take approximately 8 years for the population to reach 24,700.
What values of b satisfy 3(2b + 3)2 = 36?
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction 3 Over 2 EndFraction and StartFraction negative 9 Over 2 EndFraction
b = Start Fraction 9 Over 2 EndFraction and StartFraction negative 3 Over 2 EndFraction
Answer: b=-3+2√3/2
-3-2√3/2
Step-by-step explanation: it's A on edg
The value of b which satisfies the given quadratic equation is both: A. b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
How to solve a quadratic equation?
In this exercise, you're required to solve for the value of b which satisfies the given quadratic equation. Thus, we would simplify the quadratic equation as follows:
3(2b + 3)² = 36
Dividing both sides by 3, we have:
(2b + 3)² = 12
Taking the square root of both sides, we have:
2b + 3 = ±√12
2b + 3 = ±√4 × √3
2b + 3 = ±2√3
2b = -3 ± 2√3
b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
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Solve the equation:
x² + 3x² - 4x=0
Answer: x²= 0
Step-by-step explanation:
If x² + 3x² - 4x=0
4x²-4x=0
4x² =0/4×
4x² = 0
x² = 0/4
A bag contains yellow marbles and red marbles, 55 in total the number of yellow marbles is 5 less than 2 times the number of red marbles how many yellow
Answer:
35 marbles
Step-by-step explanation:
5 x 2 x2 = 20
55-20 is 35
PLEASE HELP
BRAINLIEST
Find the value of x in the figure.
Answer:
x = 27
Step-by-step explanation:
Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).
By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:
(3x - 17) + (x + 40) + (2x - 5) = 180
To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.
(3x - 17) + (x + 40) + (2x - 5) = 180
3x - 17 + x + 40 + 2x - 5 = 180
Combine like terms.
6x + 18 = 180
Subtract 18 from both sides to get rid of the +18 on the left side.
6x = 180 - 18
Simplify.
6x = 162
Divide 6 form both sides to get rid of the coefficient of 6 on the left side.
x = 162 ÷ 6
Simplify.
x = 27
x = 27
I hope this helps. :)
The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”
What is the inverse of the original conditional statement?
If a figure is a polygon, then the sum of the exterior angles is 360°.
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
Answer:
If a figure is not a polygon, then the sum of the exterior angles is not 360.
Step-by-step explanation:
The converse of the given statement is -
"If a figure is a polygon, then the sum of the exterior angles is 360°."
What is converse of a conditional statement?You can write the converse of a conditional statement by reversing the hypothesis and conclusion with each other.
Given is the statement as -
"If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”
Converse of conditional statement can be written as -"If A then B" → "If B then A"
So, we can write the converse as -If a figure is a polygon, then the sum of the exterior angles is 360°.
Therefore, the converse of the given statement is -
"If a figure is a polygon, then the sum of the exterior angles is 360°."
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The midpoint M of CD¯ has coordinates (−1, 3). Point C has coordinates (−5, 6). What are the coordinates of point D?
Answer:
The Co-ordinates of D are (3,0)
Step-by-step explanation:
x= x₁ +x₂ / 2 , y= y₁+y₂ /2
-1 = -5 + x₂ /2 , 3 = 6+y₂ /2
Solve them and u ll get the ans
if measure angle MPL=63 HOW COULD I FIND THE OTHERS?
answer:
JK = 27
NJ = 153
JL = 117
KNM = N/A
MJL = N/A
JLK = N/A
step-by-step explanation:
you can see there are pairs of vertical angles which means they would be equalremember a circle adds up to 360the arc's measure and the angle's measure would be equalsince we know ∠MPL is 63°, and ∠KPL is 90°, we can find the others too∠NPM + ∠MPL = 90
∠NPM + 63 = 90
∠NPM = 27°
so, ∠JPK = 27° (since they are vertical angles)
now, add up all the ones you know to find the other angle63 + 90 + 27 + 27 + X = 360
let x be the missing angle63 + 90 + 27 + 27 + X = 360
207 + X = 360
X = 153
so, ∠JPN = 153°
now put the measures of the arcsARCS:
JK = 27
NJ = 153
JL = 117
KNM = N/A
MJL = N/A
JLK = N/A
- sorry this is the furthest i can help, i have only learnt up to that so do not know how to find the rest.
using the relationship between intercepted arc and central angle, the missing measures are:
a. m(JK) = 27°
b. m(NJ) = 153°
c. m(JL) = 117°
d. m(KNM) = 207°
e. m(MJL) = 297°
f. m(JLK) = 333°
Central Angle and measure of Intercepted ArcThe central angle is always equal to the measure of the intercepted arc.A full circle = 360 degrees.Half circle = 180 degrees.Given:
m∠MPL = 63°
a. m(JK) = 180 - 90 - 63 = 27°
m(JK) = 27°
b. m(NJ) = 180 - m(JK)
m(NJ) = 180 - 27
m(NJ) = 153°
c. m(JL) = 90 + 27
m(JL) = 117°
d. m(KNM) = 180 + 27
m(KNM) = 207°
e. m(MJL) = 27 + 180 + 90 = 297°
f. m(JLK) = 360 - 27
m(JLK) = 333°
Therefore, using the relationship between intercepted arc and central angle, the missing measures are:
a. m(JK) = 27°
b. m(NJ) = 153°
c. m(JL) = 117°
d. m(KNM) = 207°
e. m(MJL) = 297°
f. m(JLK) = 333°
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Is 6/10 greater than 1/2
Answer:
No 1/2 is greater
Step-by-step explanation:
1:look at both 1/2 and 6/10
2: see which one gets to the denominator first
3: which ever one it is will be greater
4:the answer is 1/2 because if you add one more to 1/2 you get 2/2
A quiz has four multiple-choice questions; each question is either true or false. How many different solution keys are possible?
Answer: 2 solution keys
Step-by-step explanation:
Although question has True or False as solution, while the multiple questions are four, solution keys still equals 2, since True in an option in the four questions, false is another option in the four questions.
I hope this helps.
Which is the greatest risk when investing in stocks? A. call risk B. inflationary risk C. interest rate risk D. liquidity risk E. market risk
Answer:
E. market risk
Step-by-step explanation:
When investing in stock, an investor should be aware of three key risks which are;
The market riskThe Inflation risk Liquidity riskMarket risk involves loses that are as result of entire performance of financial markets. Examples are stock market bubbles.Inflation risk is concerned with cash used for an investment, where changes in power to purchase may cause inflation risk.Liquidity risks happens when an investor is unable to sell or buy earlier enough to prevent losses.
The correct option is E. market risk
The information regarding the market risk is as follows;
It includes the losses that leads to the overall performance of the financial markets like - stock marketSo we can say that the market risk termed to the high risk at the time of investing in the stock.Learn more: brainly.com/question/17429689
Writing expressions. 3 times the sum of 4 and 8
Answer:
3(4+8)
Step-by-step explanation:
Answer:
3 * (4 + 8)
Step-by-step explanation:
Step 1: Convert words into an expression
3 times the sum of 4 and 8
3 times = 3 *
Sum of 4 and 8 = (4 + 8)
3 * (4 + 8)
Answer: 3 * (4 + 8)
Which expression represents five less than the square of one more than a number?
(x + 1)2 - 5
5 - (x + 1)2
(x²+ 1) - 5
5-(x²+1)
Answer:
(x+1)² - 5
Step-by-step explanation:
one more than a number: x+1
the square of that (x+1)²
five less than that (x+1)² - 5
Find the volume of a cone that has a radius of 3 meters and a height of 6 meters.
(Use 3.14 for pi and round the answer to the nearest hundredth.)
Answer:
56.55m^3
Step-by-step explanation:
v=[tex]\pi[/tex]*r^2*h/3
find the product of 3 and 2y-4x=8
Answer:
Step-by-step explanation:
3 * (2y - 4x) = 8
6y - 12x = 8
divide by 2 throughout
3y - 6x = 4
-6x + 3y -4 = 0
To find the product of 3 and the expression 2y - 4x, we multiply both sides of the equation by 3, resulting in 6y - 12x = 24.
The student's question asks us to find the product of 3 and the expression 2y - 4x = 8. Multiplying both sides of the equation by 3 we get:
3 * (2y - 4x) = 3 * 86y - 12x = 24The product of 3 with each term on the left side of the equation has been calculated, resulting in a new equation: 6y - 12x = 24. It is important to carry out the multiplication operation carefully, ensuring that each term within the parentheses is multiplied by 3.
what does a equal
5^9/5^3=5^a a=
1. Use the Quotient Rule: x^a/x^b = x^a - b
5^9 - 3 = 5a
2. Simplify 9 - 3 to 6
5^6 = 5^a
3. Simplify 5^6 to 15625
15625 = 5^a
4. Convert both sides to the same base
5^6 = 5^a
5. Cancel the base of 5 on both sides
6 = a
6. Switch sides
a = 6
2 triangles are shown. Line M N is the line of reflection. Line segment X prime X has a midpoint at point A. Line segment Z prime Z has a midpoint at point B. Line segment Y prime Y has a midpoint at point C. Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. m∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y'
The statements that are true with respect to the reflection of Δ XYZ are:
Option A - m∠X'Z'Y' = 90°
Option B - m∠MCY = 90° and
Option D - BZ' ≅ BZ.
What is the reflection in math?Geometrically speaking, reflection in math simply refers to a flip image of a shape, all dimensions remaining the same.
When every point in a figure is equidistant from it's equivalents points on the mirror image, both images are said to be a reflection of one another.
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Answer:
A, B, D
Step-by-step explanation:
edge 2022
Anna baked 333 batches of cookies with ccc cookies in each batch. She then ate 888 cookies!
How many cookies does Anna have left?
Hello friend!
If each batch has three cookies (which I suppose is what the "ccc" means,
Your quick answer is 111. :)
If Anna has baked 333 batches of cookies and each batch has three cookies, then 333 multiplied by 3 is 999. If Anna ate 888 cookies then 999 minus 888 is 111.
Take care friend!
-Edge
Answer:
3c-8
Step-by-step explanation:
Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale factor used to create the model PLZZZ HELP ME HURRY THE ANSWERS CHOICES ARE IN THE PICTURE
1 inch on the drawing represents 11 feet in the labyrinth middle school.
Step-by-step explanation:
Step 1:
The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.
So 33 inches on the drawing is equal to 363 feet in the labyrinth school.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling
The scale factor [tex]= \frac{33}{363} = \frac{1}{11}.[/tex]
So the scale factor is [tex]\frac{1}{11}[/tex]. This means that 1 inch on the drawing is 11 feet in the actual school.
The area of a playground is 266 yd. The width of the playground is 5 yd longer than its length. Find th
length and width of the playground.
a. length = 19 yd, width = 24 yd
C length = 14 yd, width = 19 yd
b. length = 19 yd, width = 14 yd
d. length = 24 yd, width = 19 yd
Answer:
C
Step-by-step explanation:
The width is 5 yds longer so we can mark out b and d if you multiply 19 and 24 is 456 so you are left with C
Xavier runs 21 miles in three hours what is his unit rate for the average distance he ran after one hour
Answer:
7 mph
Step-by-step explanation:
21/3 = 7 so Xavier runs 7 miles per hour
Using the double angle identities, find sin2x given sinx=4/5
Answer:
24/25
Step-by-step explanation:
The usual form of the double-angle identity is for sine is ...
sin(2x) = 2sin(x)cos(x)
The cosine can be found from the sine using the Pythagorean identity ...
sin(x)² + cos(x)² = 1
cos(x) = √(1 -sin(x)²)
__
Filling in the given value for sin(x), we can find the cosine to be ...
cos(x) = √(1 -(4/5)²) = √(9/25) = 3/5 . . . . . . . assuming a first-quadrant angle
Then the desired sine is ...
sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5)
sin(2x) = 24/25
A passenger on a ship dropped his camera into the ocean. If it is descending at a rate of -4.2 meters per second, how long (in seconds) until it hits the bottom of the ocean, which is at -1875 meters? Round to the nearest second.
MULTIPLE CHOICE:
if the solution to an inequality is t < 7.4, which of the numbers below would be part of the solution?
O4.7
O5.1
O7.4
O8.2
O9.6
Answer:
4.7 and 5.1
Step-by-step explanation:
7.4 only works if it shows less than or equal to inequality
Which expression is evaluated to -18-64
Answer:
-82
Step-by-step explanation:
-18 - 64
-82
Answer: -82
How do the graphs of f(x)=x^2 and g(x)=3/4x^2
Easily putting the equation into Google, I found a graph for you! :)
Answer:
the answer is b.
the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
Step-by-step explanation:
why? bc i did the review
Which expression is equivalent to 20c - 8d?
A. 2(10c + 4d)
B. 4(5c - 8d)
C. 4(5c - 2d)
D. c(20 -8d)
(explain please.)
The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex] and it can be determined by using factorization.
Given that,
Expression; [tex]\rm 20c - 8d[/tex]
We have to determine
The equivalent expression to the given expression.
According to the question,
To determine the equivalent relation calculation must be done in a single unit following all the steps given below.
Expression; [tex]\rm 20c - 8d[/tex]
From the expression take out the common factor and rewrite the expression.
[tex]= \rm 20c-8d\\\\= 4 \times 5 \times c - 2\times 4 \times d\\\\= 4(5\times c - 2 \times d)\\\\= 4(5c-2d)[/tex]
Hence, The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex].
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what is the gradient of the graph shown
The gradient of the graph is 2.
Solution:
Let the points on the graph are (-2, 0) and (0, 4).
Here [tex]x_1=-2, y_1=0, x_2=0, y_2=4[/tex].
Gradient of the graph:
[tex]$\text{Gradient }= \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$= \frac{4-0}{0-(-2)}[/tex]
[tex]$= \frac{4-0}{0+2}[/tex]
[tex]$= \frac{4}{2}[/tex]
Cancel the common terms, we get
Gradient = 2
The gradient of the graph is 2.
Which of the following sets shows all the numbers from the set {2, 3, 4, 5 that are part of the solution inequality 4n + 6> 22
Solution:
Given inequality is:
[tex]4n + 6 > 22[/tex]
Substitute n = 2
[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]
14 is not greater than 22
Thus, n = 2 does not satisfy the given equation
Substitute n = 3
4(3) + 6 > 22
12 + 6 > 22
18 is not greater than 22
Thus, n = 3 does not satisfy the given equation
Substitute n = 4
4(4) + 6 > 22
16 + 6 > 22
22 is equal to 22
Thus, n = 4 does not satisfy the given equation
Substitute n = 5
4(5) + 6 > 22
20 + 6 > 22
26 > 22
26 is greater than 22
Thus, n = 5 satisfies the given equation
the radius of a birthday cake is 5 inches.Icing will decorate the circumference of the cake.What procedure can be used to find the approximate circumference of the cake?
Answer:
Multiply 5 by 2 and the product by 3.
Step-by-step explanation:
A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?
360⁰......12
x.............8/5=1.6
Thus:
x=1.6×360/12=1.6×30=48⁰
Answer: x=48⁰
Answer: The central angle of the arc is 48 degrees.
Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as
Circumference = 2Pi x radius
Also the length of an arc is calculated as
Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).
Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as
Length of an arc = (X/360) x 2Pi x radius
8/5 = (X/360) x 12
By cross multiplication we now have
(8 x 360)/ (5 x 12) = X
2880/60 = X
48 = X
Therefore the central angle of the arc is 48 degrees.