Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
Write and solve an equation to determine the value of x.
Answer:
x = 12
Step-by-step explanation:
<CED = 180 - (9x-8)
= 180 - 9x +8
= 188 - 9x
Angle sum of triangle is 180
.'. (5x-10) + (50) + (180 - 9x +8) = 180
5x -10 + 50 + 188 -9x = 180
-4x = 180 + 10 - 50 - 188
-4x = -48
4x = 48
x = 12
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
Determine the amount of an investment if $ 1500 is invested at an interest rate of 4% compounded annually for 4 years,
Answer:
Sorry i dont know but thanks for The points
Step-by-step explanation:
Can someone please help
Answer:
16.989
Step-by-step explanation:
Cosine angle = adjacent/ hypnosis
Cos 28 = 15/x Multiply both sides by x
xCos 28 = 15x/x x/x is 1
xCos 28 = 15(1) Divide both sides by Cos 28
xCos 28/Cos 28 = 15 / Cos 28 Cos 28 / Cos 28 = 1
x = 15/Cos 28
x = 16.989
Review the graph of function g(x).
On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).
Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?
Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence
Answer:
Kadence Only
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please help me! yah thats all i just need help
Answer:
WT=63
Step-by-step explanation:
[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]
So
[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]
A rectangular pool is being constructed with a length that is four times the width. There will be a walkway constructed around the pool that is 6 feet wide all around. Write a factored expression for the area in square feet of the pool and the walkway combined.
Answer:
(4x²+36) feet²
Step-by-step explanation:
Area of the pool = L × W
Take width as x and Length as 4x
4x × x = (4x²)feet² {area of pool}
Area of walkway = L × W
6 × 6 = 36feet²
Total area = 4x² + 36 feet²
Complete the input-output table for log4X. How would I solve this?
Answer:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = log_4(x)[/tex]
[tex]x = 0.5[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(0.5) = log_4(0.5)[/tex]
Apply law of logarithm
[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(0.5) = -0.5[/tex]
[tex]x = 1[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(1) = log_4(1)[/tex]
Express 1 as 4^0
[tex]f(1) = log_4(4^0)[/tex]
Apply law of logarithm
[tex]f(1) = 0*log_4(4)[/tex]
[tex]f(1) = 0[/tex]
[tex]x = 2[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(2) = log_4(2)[/tex]
Apply law of logarithm
[tex]f(2) = \frac{log(2)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(2) = 0.5[/tex]
[tex]x = 4[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(4) = log_4(4)[/tex]
[tex]log_a(a) = 1[/tex]
So:
[tex]f(4) = 1[/tex]
[tex]x = 8[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(8) = log_4(8)[/tex]
Apply law of logarithm
[tex]f(8) = \frac{log(8)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(8) = 1.5[/tex]
So, the complete table is:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?
A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3
Answer:
B
Step-by-step explanation:
Kinda hard to explain but I'm pretty sure it's B
The reciprocal of 7 1/2 is
Answer:
2/15
Step-by-step explanation:
To find the reciprocal of a fraction switch the numerator and the denominator
7 1/2 = 15/2 = 2/15
Have a good day
solve the inequality y + 7/10 < 2
Answer:
y<13/10
Step-by-step explanation:
In the finger above what is m
Answer:
ABE is 180-64.5= 115.5
EBE is 90-64.5= 25.5
Please help me with this real quick
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
find the volume if the figure
Answer:
there aint no figure
Step-by-step explanation:
Answer:
yea there ain't no figure
Step-by-step explanation:
lololololololololol
Question 10 of 10
Which is not a characteristic of an exponential parent function?
A. It passes through (0,1).
B. It goes through the origin.
C. The domain is all real numbers.
D. The range is positive real numbers (y > 0).
SUBMIT
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.
Answer:
6g/cm^3
Step-by-step explanation:
The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.
Answer: 6g/cm^3
Hope this helps!
Answer:
p = 6 g/cm³
Step-by-step explanation:
Given: cube sides= 2 cm and 48 g
To find: The cube's density
Formula: [tex]{p} \frac{m}{V}[/tex]
Solution: Measure the height, width, and depth of the shipment in inches.
Multiply the three measurements (height x width x depth).
Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).
Divide the weight (in pounds) of the shipment by the total cubic feet.
p = density
m = mass
V = volume
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
Learn more about Multiplication here:
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Frances practiced with her band for 2 hours on Friday, 4 hours on Saturday, and 2 hours on
Sunday. Her band practiced the same number of hours for the next two Fridays, Saturdays,
and Sundays. What is the total number of hours Frances and her band practiced?
Answer:
24 hours
Step-by-step explanation:
2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend
8 hours per weekend x 3 weekends = 24 total hours.
The graph shows the amount of money that Janice saves each week from her summer job. which equation best represents the graph
Answer:
y = 100x + 200
Step-by-step explanation:
Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?
Answer:
Ross's profit it 1,781.37
Step-by-step explanation:
$35 per person and 54 people= 35x54=1890
Profit= the amount of money he makes after his expenses.
1890-108.63=1781.37
Please!!!!! HELP!!!!!!!!!
The smaller arrow is a scale drawing of the larger arrow. What percent of the area of the larger arrow is the area of
Answer:
the answer is 43%
Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?
They sold ___ adult tickets and _____ kids tickets.
Answer:
They sold 30 adult tickets and 50 kids tickets.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of adult tickets sold
y is the number of kids tickets sold.
80 tickets are sold
This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.
This means that:
[tex]7.5x + 6y = 525[/tex]
Since [tex]x = 80 - y[/tex]
[tex]7.5(80 - y) + 6y = 525[/tex]
[tex]600 - 7.5y + 6y = 525[/tex]
[tex]1.5y = 75[/tex]
[tex]y = \frac{75}{1.5} = 50[/tex]
[tex]x = 80 - y = 80 - 50 = 30[/tex]
They sold 30 adult tickets and 50 kids tickets.
Please solve!!!
3x^2 + 6x + 1
What is the decay factor in the exponential decay function y=a(1−r)^t
Answer:
(1 - r)Step-by-step explanation:
Given function:
y = a (1−r)^tHere we have:
y - future value, a- present value, (1 - r) - decay factor, t- number of decay periodsWhat is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)
A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?
Answer:
It costs Laura $ 5,184.86 to heat her house one day.
A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
Step-by-step explanation:
Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:
(3 x 1200 x 24) x 0.06001 = X
(3600 x 24) x 0.06001 = X
86400 x 0.06001 = X
5,184.86 = X
Therefore, it costs Laura $ 5,184.86 to heat her house one day.
1 watt = 0.001 kilowatt
75 watt = 0.075 kilowatt
1 / 0.075 = 13.333
1 / 0.06001 = 16,663
13,333 x 16,663 = 222.18
Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
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the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi
Answer:
157 in
Step-by-step explanation:
2x3.14x25 = 157 in
