Final answer:
Using the formula y = 15(1.26)^x and setting x to 12 for the year 2006, we calculate that the predicted number of cellular phone users in that year is approximately 84 million.
Explanation:
The formula y = 15(1.26)^x is used to predict the number of cellular phone users in millions for a given year, with x representing the number of years since 1994. In this case, we want to find the predicted number of cellular phone users for the year 2006. Since 2006 is 12 years after 1994, we will set x = 12.
Plugging in this value, the equation becomes y = 15(1.26)^12. To find the answer, we must calculate 1.26 raised to the power of 12 and then multiply the result by 15.
Calculating this gives us y = 15(1.26)^12 ≈ 15 * 5.582 ≈ 83.73 million, which we round to 84 million cellular phone users.
Final answer:
The predicted number of cellular phone users in the year 2006 is 63 million.
Explanation:
To predict the number of cellular phone users in the year 2006 using the formula y = 15(1.26)^x, we need to determine the value of x that corresponds to the year 2006. We know that x = 0 corresponds to 1994, so the year 2006 would be 12 years later. Therefore, x = 12.
Substituting x = 12 into the formula, we have y = 15(1.26)^12.
Calculating this expression gives us y ≈ 63.273.
Rounding to the nearest whole number, the predicted number of cellular phone users in the year 2006 is 63 million.
What is the slope of the line that contains these points?
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
What is the volume of the following rectangular prism? 9/5 2/3
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
Answer:
1 1/5
Step-by-step explanation:
9/5 • 2/3 = 1.2 = 1 2/10 = 1 1/5
The population of a city is 300,000 and the annual growth rate is 11%. Write an equation to model the population y after x years.
y=
Final answer:
The population of a city with an initial population of 300,000 and an 11% annual growth rate can be modeled by the exponential growth equation [tex]y = 300,000(1 + 0.11)^x,[/tex] where x represents the number of years.
Explanation:
To model the population growth of the city with an initial population of 300,000 and an annual growth rate of 11%, we use an exponential growth equation. This type of growth can be represented by the equation y = P(1 + r)^x, where P is the initial population, r is the growth rate in decimal form, and x is the number of years.
For this scenario, P = 300,000 and r = 0.11 (since 11% as a decimal is 0.11). Therefore, the equation to model the population, y, after x years is:[tex]y = 300,000(1 + 0.11)^x,[/tex]
This equation assumes that the growth rate remains constant over the years and that there are no other factors affecting the population size.
Part B:
The high temperature this Sunday is expected to be 5 degrees warmer than the high temperature this Saturday.
Using the line c = 2t - 89, how many more cups of lemonade should Lin expect to sell on Sunday than
Answer:
Lin should expect to sell 10 cups more
Step-by-step explanation:
The line c = 2t − 89 relates the cups Lin expect to sale (c) with the high temperature of the day (t)
If high temperature on Saturday is t1, then high temperature on Sunday is (t1+5)
Cups sold on Saturday are: 2t1 − 89
Cups sold on Sunday are: 2(t1+5) − 89 = 2t1 + 10 - 89
Cups sold on Sunday - Cups sold on Saturday:
2t1 + 10 - 89 - (2t1 − 89) = 2t1 + 10 - 89 - 2t1 + 89 = 10
Find the value of x. correct answer please
Answer:
[tex] x = \sqrt{30} [/tex]
Step-by-step explanation:
By Geometric mean property:
[tex]BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]
What is the area length of a semi circle with the radius of2
Answer:
12.56
Step-by-step explanation:
The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 735 ft building to the horizon to the nearest mile?
(Hint: 5,280 ft = 1 mi; radius of Earth = 4,000 mi)
The distance from the top of the building to the horizon is ______ miles
Answer:
b = 33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
Which function is growing the fastest?
A) cubic C) linear
B) exponential D) quadratic
Answer: (C) the linear
Step-by-step explanation:
at x = 3 the y-value ... is growing
Answer:
Step-by-step explanation:
The rate of growth (the slope of the transformed curve) is first higher than for an exponential function, but later it goes down. ... Initially, the quadratic function grows much faster. The function x² grows from 0 to 1 in finite time, while the exponential function takes from minus infinity to 0.
y= 3x - 7
Complete the missing value in the solution to the equation.
(1, )
Answer:
(1, -4)
Step-by-step explanation:
y = 3x-7
Let x = 1
y = 3(1) -7
y = 3-7
y = -4
Amy‘s design features a polygon with congruent sides. All of the angles are obtuse. Which of the following polygons could be in Amy’s design? Square, trapezoid, equilateral triangle, or regular pentagon
Answer:
Trapezoid
Step-by-step explanation:
Answer:
Trapezoid I've had this and that's what i answered
Step-by-step explanation:
Solve the system of equations.
y = 7x + 43
y= 2x + 13
a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution
Answer:
x=−6 and y=1
(a)
How much interest is earned on $140 at 7% for five years?
Answer:
49
Step-by-step explanation:
140*0.07*5= 49
A bug is 1.2 cm up a wall and climbs up 1.7 cm each second. Another bug is 30 cm up the wall and climbs down 1.5 cm per second. After how many seconds will the bugs be the same height?
Seconds =
1.2 cm + ( 9 × 1.7 cm ) = 16.5 cm
30 cm - ( 9 × 1.5 cm ) = 16.5 cm
So the answer is 9 seconds!
Hope this helps :)
Let me know if my answer is incorrect or something :0
Element X decays radioactively with a half life of 10 minutes. If there are 510 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 21 grams?
Answer:
46 minutes
Step-by-step explanation:
Please Help! 13. List all of the elements of each set
a) Set of integer solutions of x^2≤3
Answer:
S = {-1, 0, 1}
Step-by-step explanation:
First we need to solve the inequation x^2<=3
Using square root in both sides, we have:
|x| <= 1.73
Separating the module in two, we have:
x <= 1.73
x >= 1.73
So we have that -1.73 <= x <= 1.73
Solving this inequation only with integer values, we have:
x = -1, x = 0 or x = 1
So the set of integer solutions is S = {-1, 0, 1}
A store sells two types of coffee: House blend and Premium blend. Each bag of House blend contains 3 pounds of Type A beans and 2 pounds of Type B beans. Each bag of Premium blend contains 7 pounds of Type A beans and 3 pounds of Type B beans. The store can use at most 105 pounds of Type A beans and at most 60 pounds of Type B beans. Each bag of House blend sells for $6 and each bag of Premium blend sells for $10. How many bags of each type of coffee should the store make in order to maximize its revenue? What is the maximum revenue?
Answer:
do 3 dived by 2 they the awnser times seven then add 105 then multiply 60 then carry the 3 then add 10 and 6 then add 16 to the awnser and boom!
Step-by-step explanation:
find two numbers whose sum is 24 and whose difference is 6.
Answer:
9 and 15
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
x +y= 24 -----(1)
x -y= 6
x= y +6 -----(2)
Substitute (2) into (1):
y +6 +y= 24
2y +6= 24 (simplify)
2y= 24 -6 (-6 on both sides)
2y= 18
y= 18 ÷2
y=9
Substitute y= 9 into (2):
x= 9 +6
x= 15
Thus the numbers are 9 and 15.
What is the value of x?
(3x – 14)
x
[4(x – 9)°
Enter your answer in the box.
Next
22
pretty sure we are doing the same test
hi help me right now i am dunb
what 3 numbers can be multiplied to make 106
Answer:
1 x 106 = 106
2 x 53 = 106
53 x 2 = 106
106 x 1 = 106
Step-by-step explanation:
(happy to help)
Answer:
1 x 106 = 106
2 x 53 = 106
53 x 2 = 106
106 x 1 = 106
Give me Brainliest Plz
U should rly help plz
Answer:
Final result :
(sorry if this is long)
a3 - 5a2 + 4a + 5
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((4a-(a3))-3)+(((2•(a3))-5a2)+8)
Step 2 :
Equation at the end of step 2 :
((4a-(a3))-3)+((2a3-5a2)+8)
Step 3 :
Checking for a perfect cube :
3.1 a3-5a2+4a+5 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: a3-5a2+4a+5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 4a+5
Group 2: a3-5a2
Pull out from each group separately :
Group 1: (4a+5) • (1)
Group 2: (a-5) • (a2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(a) = a3-5a2+4a+5
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 5.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5
Hope it helps!!
Please help on math.
Answer:
Total area= 207 ft^2
Step-by-step explanation:
You can divide the figure to make 2 big rectangles.
The first has a base of 15 ft and a height of 15 ft
A1 = b * h
A1= 15 ft * 9 ft A1= 135 ft^2
The second has a base of 12 ft and a height of 6 ft
A2= b*h
A2= 12 ft * 6 ft
A2= 72 ft^2
Total area= A1+A2= 135 ft^2 + 72 ft^2
Total area= 207 ft^2
The points A (-3, -2), B (-3, 3) and C (5, 3) are 3 points.
What type of triangle is ABC?
Answer:
right triangle or scalene
The temperature at 4:00 P.M. was − 12°C. By 11:00 P.M. the temperature had dropped 14°C. What was the temperature at 11:00 P.M.?
Answer:
-26
Step-by-step explanation:
If the temperature dropped by 14 degrees than it decreased by 14, which means we subtract:
-12-14= -26
Solve for d. 8d − 6 = 7d
Answer:1d
Step-by-step explanation:
Step-by-step explanation:
Bringing like terms on one side
8d - 7d = 6
d = 6
If AC = 20 and BC = 17 what is the radius
The radius of the circle is 10.5.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
AC = 20 and BC = 17
From the figure,
We apply the Pythagorean theorem.
So,
AC² = BC² + AB²
Substituting,
20² = 17² + AB²
AB² = 400 - 289
AB² = 111
Now,
Radius = AB
So,
AB = √111
AB = 10.535
Rounding to the nearest tenth.
AB = 10.5
Thus,
The radius of the circle is 10.5.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ3
A circle with radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
The area of the shaded region is 42.46 cm2
Step-by-step explanation:
Answer:
5 x 5 = 25
25 x 3.14 = 78.5
11 x11 = 121 - 78.5 = 42.5
42.5 cm
Step-by-step explanation:
Willie had 55 baseball cards after trading with his friends. He traded 5 cards for one special card. Lee gave him 11 cards for a Mickey Mantel card. How many cards did Willie start with?
Answer:
49 baseball cards.
Step-by-step explanation:
First you want to add 5 cards to the 55 for the 5 he traded for the one. You get 60. Then subtract the 11 cards that he was given for the 1. You end up with 49 baseball cards.
can someone help me w #10 and #11
Answer:
10. Expanded vertically by 3, shifted left 2 and up 4.
11. Shifted right 6 and up 7.
Step-by-step explanation:
This sort of question involves matching patterns. You need to know what the various transformations look like, and what that means for a specific parent function.
Here are the transformations used in this problem:
f(x -a) . . . . shift f(x) to the right by "a" unitsf(x) +a . . . . shift f(x) up by "a" unitsa·f(x) . . . . . vertically scale f(x) by a factor of "a"For these problems, the parent function is f(x) = 1/x.
__
10. The multiplier of 3 in the numerator (3/x) means the function has been scaled vertically (expanded) by a factor of 3.
The replacement of x with x+2 means the function has been shifted to the right by -2 units. That is the same as shifted left 2 units.
The addition of 4 to the function value means the function has been shifted up by 4 units.
__
11. We note the numerator is still 1, so there is no vertical expansion. The replacement of x with x-6 means a right shift by 6 units. The addition of 7 to the function value means a shift up by 7 units.
HELP ME WITH THESE COORDINATES PLEASE!!!! ❤️
Answer:
5,4
Step-by-step explanation:
We normally plot the coordinates by (x,y)
Given,x=-5 units away=5(since there is no -ve direction)
y=4 units away=4(since there is no-ve direction)
We have,(x,y)=(5,4)
Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)
Answer:
5,4
Step-by-step explanation:
We normally plot the coordinates by (x,y)
Given,x=-5 units away=5(since there is no -ve direction)
y=4 units away=4(since there is no-ve direction)
We have,(x,y)=(5,4)
Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)
Hope this helps!!❤️❤️❤️