9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
_____
If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
4x² – 16x + 9 at x = 5.
Use the remainder theorem to evaluate f(x)
Answer:
29
Step-by-step explanation:
plug in 5 where x is.
so
4(5)^2-16(5)+9=
which equals 29
SEE IMAGE BELOW:)
PLEASE HELPPP
A perfume bottle is in the shape of a cone. Its diameter is 13 centimeters and its height is 21 centimeters. What is the volume of the perfume bottle? Round to the nearest tenth.
Answer:
hello hello hello hèllo
Answer:
V = 1/3 pie r2 h
= 1 /3 x 22/7 x 6.5 x 6.5 x 21
= 929.5 cm^3
baby im jealous....
finish it
What are the roots of the equation x2 + 16x + 73 = 0 in simplest a + bi form?
Answer:
-8+2i and -8+2i
Step-by-step explanation:
here simply we'll use general formula
x= (-b +or - √ b^2-4ac)/2a
can anyone prove this:
1+1=3
Answer:
indeed
Step-by-step explanation:
just carry the one when adding
Step-by-step explanation:
1 = 1
41 – 40 = 61 – 60
16 + 25 – 40 = 36 + 25 – 60
4² + 5² – 2 * 4 * 5 = 6² + 5² – 2 * 6 * 5
(4 – 5)² = (6 – 5)²
4 – 5 = 6 – 5
4 = 6
2 = 3
1 + 1 = 3…proved
Find the 59th term of the arithmetic sequence
29,37,45,...
Answer:
13,456
Step-by-step explanation:
Tn= a+(n-1)d
a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,
Tn= 29+(59-1)8
=29(58)8
=13,456
Robin saved money during the months of July and August can some one help me
Step-by-step explanation:
(340*20)-3
HOPE IT HEPL U
There are 10 boys and 13 girls in Mr. Benson's fourth-grade class and 12
boys and 11 girls in Mr. Johnson fourth-grade class. A picnic committee
of six people is selected at random from the total group of students in both
clasties.
(a) What is the probability that all the committee members are girls?
(b) What is the probability that the committee has three girls and three
boys?
write a rational number between root2 and root3
Answer:
prational number between root2
The Hamilton’s are installing a new pool in their backyard .The scale drawing below represents the new pool,where 1 centimeter represents 5 feet.
Write a linear equation for the situation below.
A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute.
Answer:
y = -2x + 20
Step-by-step explanation:
Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.
In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.
The slope will be -2, since 2 gallons are drained per minute.
Plug in these values:
y = mx + b
y = -2x + 20
So, the linear equation is y = -2x + 20
Guys what is the answer
150°
Step-by-step explanation:
360° - 210° = 150° .......
Chris was given 1/3 of the 84 cookies in the cookie jar. He ate 3/4 of the cookies that he was given. How many cookies did Chris eat?
Answer:
21 cookies
Step-by-step explanation:
First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28
So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.
Chris ate 21 cookies.
Hope this helped!
Answer:
21 cookies
Step-by-step explanation:
1/3 × 84 = 28
3/4 × 28 = 21
URGENT PLEASE ANSWER
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
Answer:
A)$60
B)$9
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
Cleopatra has $15.
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)
Total ratio=(5 +7 +8)= 20
Cleopatra has $15.
Let X = total money
Ratio of Cleopatra= 5/20 ×X=15
5X /20 = 15
5X= (15×20)
X= $60
They have $60 in total
B) ratio of Dalila= 7/20 × 60 = $21
But 12$ was spent by Dalila on a hat
Then Dalila will have ($21 - 12$) Left
= $9
two thirds of a number is negative six. find the number
Answer:
-9
Step-by-step explanation:
Two-thirds of a number is negative six. The number is -9. Let the number is x, 2/3x =-6, x=-6x3/2=-9.
A square with sides x ft long has a
perimeter of 343 ft. How long are the
sides of the square?
What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
When too many variables are categorized in an analysis, several potential issues may occur. Which of the following is not one of the issues that may occur?
A. model performance suffers.
B. rarely occurring categories may not be captured accurately.
C.difficulty in differentiating among observations.
D. an increase in the number of categories as the data set becomes larger.
Answer: D. an increase in the number of categories as the data set becomes larger.
Step-by-step explanation:
When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:
• model performance suffers.
• rarely occurring categories may not be captured accurately.
• difficulty in differentiating among observations.
It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = √x, y = 2, x = 0.
a. the x-axis
b. the line y = 2
c. the y-axis
d. the line x = -1
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
a) The x-axis
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {y.y^2} \, dy[/tex]
∴ Vol = 8π
b) The line y = 2 ( using the shell method )
p = 2 - y
h = y^2
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy[/tex]
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
c) The y-axis ( using shell method )
h = 2-y = h = 2 - √x
p = x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
= [tex](2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx[/tex]
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
d) The line x = -1 (using shell method )
p = 1 + x
h = 2√x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
Hence vol = 176/15 π
attached below is the graphical representation of P and h
The formula to find the area of a rectangle is: area = length x width.
Mason put a garden in his yard in the shape of a rectangle.
The garden is 7 feet long and 15 feet wide.
What is the area of the garden?
A. 22 square feet
B. 44 square feet
C. 75 square feet
D. 95 square feet
E. 105 square feet
A farmer wants to make a rectangular field with a total area of 3200^2. It is surrounded by a fence. It is divided into 3 equal areas by fences. What is the shortest total length of fence with which this can be done?
Answer:
18133.333... units
Step-by-step explanation:
the shortest circumference for a given area based on rectangles is a square (all sides of equal length).
we cannot split a square completely into 3 equal area squares (only 4).
the best approach is then to split this main square into 3 equal area rectangles (not equal rectangles).
area of square 3200² = 10240000
a third of that area is 3413333.333...
now, splitting the main square into 3 equal "strips" of land creates 3 narrow and long rectangles, which is bad for minimizing the circumference. the best solution is to get as closely as possible to a square shape.
that we get by splitting one side in half and go in as far as the land area allows, which would be
half a side = 1600
3413333.33.../1600 = 2133.33...
so, we get 2 areas of 1600 × 2133.33...
and one area of (3200-2133.33...)×3200 = 1066.66...×3200
the length of fence needed is then
around the main square = 4×3200 = 12800
plus one length of fence between the first 2 parts : 2133.33...
plus one intensive long side between the first 2 parts and the remaining third part : 3200
in total : 18133.33...
to check : the three slices would require the 12800 plus 2 long lines inside between the 3 slices : 2×3200
in total : 19200
and an attempt to simply build one long strip of 3 equal area squares next to each other :
the side length of one such square is
sqrt(341333.33...) = 1847.520861...
as fence we would need 6 times that side length for the top and the bottom of the long strip, 2 times that side length for the sides left and right if the strip, and 2 times inside as additional delimiters between the 3 squares.
in total : (6+2+2) × 1847.520861... = 10×1847.520861...
= 18475.20861...
this is all larger than the original solution.
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4blue marbles. A marble is chosen from the bag at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
Answer:
5/12 is already in simplest form
Step-by-step explanation:
12m = 5r + 3y + 4b
red is chosen = 5r / 12 = 5/12
Step-by-step explanation:
the answer is 5/12. It's quite simple
Which absolute value equation represents the graph
Answer:
the first one
Step-by-step explanation:
Hope this helps!
Select the correct answer
Consider event A and event 8. What is the probability that event Boccurs, given that event A has already occurred?
OA
PB n A)
PLA). P(8)
Ов,
P(BA)
P(A)
OC. P(BA)
P(8)
OD
PIBUA)
P(B)
Reset
Next
Answer:
[tex]P(B|A)[/tex]
Step-by-step explanation:
Probability notation:
Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:
[tex]P(B|A)[/tex], which is the answer to this question.
Find the value of x. Round your answer to the nearest tenth.
Answer:
35 is the value of x
PLEASE HELP EASY MATH
Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood he has left, Tomas makes 18 corner braces of equal size.
How many inches of wood does each brace use? - in
Answer: each brace is 2 & 2/3 inches long
=====================================================
Explanation:
"he cuts 4 feet from a board that's 8 feet long" means that he has 8-4 = 4 feet to work with. This converts to 4*12 = 48 inches.
Next, we cut that into 18 equal pieces
48/18 = 8/3 = 2 & 2/3
This is approximately 2.667 inches
identify a transformation of a function f(x)=x^2 by observing the equation of the function g(x)=5(x)^2
Answer:
Thus the function g is the function f stretched vertically by a factor 5.
Step-by-step explanation:
Multiplication of a function by a constant:
When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.
In this question:
f(x) = x^2
g(x) = 5x^2
Thus the function g is the function f stretched vertically by a factor 5.
Solve the system using substitution.
y = 4x – 8
y = 2x + 10
Answer:
9,28
Step-by-step explanation:
see image below:)
Can someone please help me with this
Answer:
y = 4x
y = -1/3 × x + 6
y = x + 1
y = 1
y = 5x
Step-by-step explanation:
the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.
like the factor 4 tells us that when x changes by 1, then y changes by 4.
a line parallel to another line means their slopes are identical (otherwise they could not be parallel).
the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.
now the 5 tasks are easy, right ?
A y=4x-1, B y=4x + c
and because B passes through the origin = (0,0),
c is 0 (0=4×0 + c = c)
B y = 4x
A y=-3x+1, B y=-1/3 × x + c
and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,
c = 2 + 4 = 6
B y = -1/3 × x + 6
A y = ax + c for (5,6) and (7,8), B is identical
6 = a×5 + c => c = 6 - a×5
8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6
=> a×2 = 8-6 = 2
=> a = 1, c = 6 - 1×5 = 1
=> A and B y = x + 1
A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1
and that is the equation for B
A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2
B is parallel, so y = 5x + c
and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,
c = 20 - 20 = 0
B y = 5x
translate into algebraic expression " the sum of five times m and n
