Answer: This means that the population increased a 20% between the year 2000 and the year 2010.
Step-by-step explanation:
In this case, we have that 25,000 is the 100%.
Now we want to know which percentage represents 30,000
Let's suppose that the percentage is X.
Then we can have a system of equations:
30,000 = X
25,000 = 100%
To find the value of X, we can take the quotient of these two equations:
30,000/25,000 = X/100%
(30,00/25,000)*100% = X = 120%
Then in the 2000 we had a 100%, and in the 2010 there was a 120%.
The difference is:
120% - 100% = 20%
This means that the population increased a 20% between the year 2000 and the year 2010.
what is the surface area?
Answer:
264
Step-by-step explanation:
Area= 1/2•b•h
=2(1/2)(b)(h)+3(b)(h)
=2(1/2)(6)(4)+3(16)(5)
=264
If a1=7and an=-2an1 then find the value of a5
Answer:
wonderful
Step-by-step explanation:
a5= A1=7 an=2an1
an16
Solve the system of equations. 2y-y=5 and 3x+2y=4
Answer:
Step-by-step explanation:
Answer:
y=5 x=-2
Step-by-step explanation:
Which set of ordered pairs is included in this relation?
A {(-5, 4), (-3, 2), (2, -1), (3, 0)}
B {(-4, 1), (-2, -5), (1, -2), (5, 2)}
C {(-3, -2), (0, 3), (1, -2), (4, 1)]
D {(-2,-5), (-1, 4), (2, -1), (3, 0)}
125
21
Find the value of the missing angle
Answer:
146°.................plz mark me brainliest
The area of a square playground (in square feet) can be represented by x2 - 30x + 225. How many feet is the perimeter of the playground if x = 25?
Answer:
40
Step-by-step explanation:
Substitute 25 for x
[tex] {25}^{2} - 30(25) + 225 = 100[/tex]
100 is the area of the square so that means
10 is the side length of each side of the square.
Multiply 4 by 10 to get the perimeter.
[tex]4 \times 10 = 40[/tex]
Look at the graph shown below the blue line represents an _______ of the graph
Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.
What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °
Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?
Answer:
The percentage represented is 37.5%
Find the measure of angle N
Help
Answer:
direct answer 20
Step-by-step explanation:
Al resolver la suma de ¾ + 5/4 obtenemos como resultado
Answer:
2
Step-by-step explanation:
3/4+5/4=8/4=2
If a tennis ball has a diameter of 14.6, and is cut in half. What is the volume of the half of the tennis ball? Use 3.14 for pi.
the half of 14.6 is 7.3 and you times it by 3.14 and its 22.922 i think
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
To learn more about inequality, please check: https://brainly.com/question/5031619
Solve ∣3x−2∣+4=0. Write your smaller answer first.
Answer:
wrong
Step-by-step explanation:
A bird is 50 feet above sea level, a fish is swimming 23 feet below sea level. What's the distance between the bird and the fish
Answer:
73 feet
Step-by-step explanation:
50 + 23 = 73 feet
find x to the nearest 10th help pls
Answer:
5.9
Step-by-step explanation:
What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?
Speed = Distance/Time
So, speed
= 300 km/2h
= 150km/h
= (150 × 1000m) / 3600s
= 150000m/3600s
= 41.66m/s [approximately]
Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???
Answer:
There's supposed to be nothing in the 7 and 8 columns
Step-by-step explanation:
You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.
hope this helps:)
13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.
The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?
Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given
[tex]N(t) = 100e^{-0.023t}[/tex]
Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:
[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]
So, we have:
A. [1,10]
[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]
[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]
Calculate N(10) and N(1)
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]
B. [10,20]
[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]
[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]
Calculate N(20) and N(10)
[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
So:
[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]
C. [15,25]
[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]
[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]
Calculate N(25) and N(15)
[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]
[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]
So:
[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]
D. [1,30]
[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]
[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]
Calculate N(30) and N(1)
[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]
By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
The required average rate of change is the fastest on [tex][1,10][/tex].
The average rate of change :The formula for the average rate of change on the interval [tex][a,b][/tex] is,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]
Now, applying the given function into the above function is,
Now, [tex]a=1,b=10[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]
Now, [tex]a=10,b=20[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]
Now, [tex]a=15,b=25[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]
Now, [tex]a=1,b=30[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]
So the average rate of change is fastest on [tex][1,10][/tex]
Learn more about the topic of the average rate of change:
https://brainly.com/question/20884505
What is the cost of 1 pound of grapes?
-2 (7– 5x – 3) = -2(7 + -5x x +
-14 +
10 х +
=
-14 +
10 х
+
10 х
Answer:
Step-by-step explanation:
make the question clearer homie urs makes no sense
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, to the nearest foot, from the plane to the run way
Answer: [tex]33,007.9\ ft[/tex]
Step-by-step explanation:
Given
The plane is cruising at an altitude of [tex]h=10,200\ ft[/tex]
The angle of depression is [tex]\theta=18^{\circ}[/tex]
Suppose the distance of the plane to the runway is x
from figure
[tex]\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft[/tex]
Find the value of x.
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
The equation of a circle is (x−2)2+(y−12)2=64 . What is the circle's center? Enter your answer by filling in the boxes.
Answer:
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
i also provided with a chart i dont know if it will help
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
What is the value of x in this equation?
8x + 40 = 180
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
17.5 is the correct answer to the question
Step-by-step explanation:
8x+40=180
8x=180-40
8x=140
X=140/8
X=17.5
the graph shows the function y=3x-1. What are the cordinates of intercepts
Answer:
[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]
Does the table represent a linear or nonlinear function
Answer:
Non-Linear
Step-by-step explanation:
Answer:linear
Step-by-step explanation:
6.) Convert the following linear equation into slope-intercept form.
4x + 3y = 9
Answer:
[tex]y=\frac{-4}{3} +9[/tex]
Step-by-step explanation:
Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.
First, subtract 4x from both sides,
3y=-4x+9
Then, divide both sides by 3,
y=-4/3x+3