Answer: 30 million people must be added.
Step-by-step explanation: 50% of 144 million is 72 million. You add these to find Indonesia’s population. 144 million + 72 million= 216 million. If 216 million is only 72% of the US population, then divide 216 million by 72 to find 1%. 216 million/72=3 million. Multiply this by 100 to find the US population. 3 million times 100= 300 million. Now, multiply Canada’s population by 10. 33 million times 10= 330 million. Finally, subtract 300 million from 330 million to find the amount needed to make the US population 10 times that of Canada’s. 330 million-300 million=30 million. So , you need 30 million people in order to make the US population 10 times that of Canada’s.
The legend on a map states that 1 inch is 20 miles. If you measure 5 inches on the map, how many miles would the actual distance be? Actual distance = [ ? ] miles
Answer:
1 inch= 20 miles. 5*20=100 miles. The answer is 100 miles.
Step-by-step explanation:
On these types of questions just do that every time, then you don't need to ask, for example:
1 foot = 50 miles
If it measures 3 feet.
3*50=150 miles.
If you have any questions regarding my answer, tell me in the comments, and I will answer them.
A rectangular paperboard measuring 29in long and 20in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board that remains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
Read more:
https://brainly.com/question/16994941
A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 62 while in February, the total cost for 175 minutes was $ 64 . The constant charge for each minute used is:
a. 0.09
b. 0.1
c. 0.08
Part 2. The fixed montly fee charged by the carrier is;
fee = $__________________
9514 1404 393
Answer:
c. $0.08
fee = $50
Step-by-step explanation:
We are given two ordered pairs:
(minutes, charges) = (150, 62) and (175, 64)
The slope of the graph of charges is ...
m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08
The charge for each minute is $0.08.
__
The y-intercept of the graph can be found from ...
b = y -mx
b = 62 -150(0.08) = 62 -12 = 50
The fixed monthly fee is $50.
Question 17 and 18 plz show ALL STEPS and HELP ME ASAP
Answer:
17) 750/9 and 18) 364
Step-by-step explanation:
17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9
18) It's a series with sum=1+3+9+27+81+243=364
An architect was designing a rectangular room with a length of 16 feet, a width of 14 feet,
and a height of 10 feet.
What is the volume, in cubic feet of the room?
Show your work
cubic feet
Answer
The architect changed his design and added 2 feet to the length and width of the room.
In cubic feet, how much greater is the volume of the room in his new design?
Show your work
cubic feet
Answer
Hurrryyy knowww
Answer:
(1) 16 x 14 x 10 Room: 2240 ft^3.
(2) How much greater the 18 x 16 x 10 Room is: 640 ft^3.
Step-by-step explanation:
To find the volume of a given space, all we need to do is multiply length*width*height. In this case, the values are 16*14*10, which equals 2240 ft^3.
The changed design would have a volume of 18*16*10, which would equal 2880 ft^3.
To find the difference in volume between the two rooms, all we have to do is subtract the smaller room from the bigger room. 2880 - 2240 = 640 ft^3.
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
find the number of permutations that can be formed from all letters in the word connecticut
What is the surface area of a cone with a slant height of 12.5m and a diameter of 9m? Round to the nearest whole number.
9514 1404 393
Answer:
240 m²
Step-by-step explanation:
The lateral surface area is given by the formula ...
LA = πrs . . . . . cone with radius r and slant height s
The base area is given by the formula ...
BA = πr²
The total surface area is the sum of these:
SA = BA +LA = πr² +πrs = πr(r+s)
The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...
SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²
Answer:
1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 5. C. 561.1 cm^2
Step-by-step explanation:
just took the test!!!
Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts of the expression in terms of the given context.
The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8.
The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.
Part A
What is the constant term in the polynomial expression, and what does it represent?
Answer:
x is the number of $1 increase in the price.
If there is no increase, then the total money earned is
2 × 70 = 140
If there is $1 increase, then the total money earned is
(2 + 1) × [70 - 8(1)]
If there is $2 increase, then the total money earned is
(2 + 2) × [70 - 8(2)]
If we continue the pattern, for x times $1 increase, total money earned is
(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140
If we substitute x = 0 in the above equation, we will get
the total money earned = $140.
It means if there is no increase, then the total money earned = 140.
Hence, 140 is the constant term and it represents that there is no increase in price.
Need the help thanks guys
Answer:
1/4
Step-by-step explanation:
x^2 - x
Take the coefficient of x
-1
Divide by 2
-1/2
Square it
(-1/2)^2 = 1/4
Add it
x^2 -x +1/4
In how many years will the compound amount on Ås 1250 beR 1,458 at 8%
Answer:
rate of interest per annum 8% step by step
Step-by-step explanation:
C.i is 1458 - 1250 = 208
there fore C.i = p [ C1 +r / 100 ) ^2_ 1
hope this help u
9cm 4. 5cm 12 см.
find the perimeter and the area of the above figures
If sides are
9cm4.5cm12cm[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]
Sides of triangle are 9cm , 4.5cm and 12cm.[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]
Hence , the perimeter of triangle is 25.5 cm
How do we solve this?
Answer:
f(x)=11+7√x
f'(x)=7/(2x^(1/2))
putting x=1
f'(1) = 7/(2×1^(1/2))
= 7/2 = 3.5
putting x=2
f'(2) = 7/(2×2^(1/2))
= 7/(2×√2)
= 7√2/4
= 2.47 (rounded to the nearest hundredth)
f'(3) = 7/(2×3^(1/2))
= 7/(2×√3)
= 7√3/6
= 2.02 (rounded to the nearest hundredth)
Basketball A basketball player makes 8 of 12 free throws
in the first game of the season. If she shoots with the same
accuracy in the second game, how many of the 15 free
throws she attempts will she make?
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
A) To the right five units, up three units.
B) To the left five units, down three units.
C) To the left five units, up three units.
D) To the right five units, down three units.
Answer:
it’s to the left 5 units, down three, so B because the translation maps abc to a’b’c’
Step-by-step explanation:
HELPPPP
Find the product of (x + (3+5i))2.
Answer:
Use identities:
(a + b)² = a² + 2ab + b²i² = -1Simplify:
(x + (3 + 5i))² = x² + 2x(3 + 5i) + (3 + 5i)² = x² + 6x + 10xi + 9 + 30i - 25 = x² + 6x + 10xi + 30i - 16Identity used:-
[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]
Now
[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]
[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]
If a right circular cone has radius 4 cm and slant height 5cm then what is its volume?
Answer:
V≈50.27cm³
Step-by-step explanation:
Using the formulas
V=πr2h
3
l=r2+h2
Solving forV
V=1
3πr2l2﹣r2=1
3·π·42·52﹣42≈50.26548cm³
Start with the number 2380.
Divide by 10,
The 8 will end up in the _____ place.
The 8 will end up in the "ones place".
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the 8 will end up in which place
A negative divided by a negative is positive, then;
2380/ 10 = 238
Therefore, The 8 will end up in the _ ones_ place.
Learn more about division here:
brainly.com/question/26411682
#SPJ2
Complete the pattern ___ 8,579 ____85.7 8.57____
Answer:
the next one is .857 I hope this helps you :)
The seventh-grade class is raising money
to have a class trip at the end of the year.
They began the year with $1,500. Now they
have $1,650 in the account.
What is the percent of increase for the
money the class has raised? I
a.
b.
Make Sense and Persevere The
class figured out that if the percent
increase is 99% from the beginning of
the year, the class will have enough
money for every student to go on the
field trip. How much money will the
class need to raise for every student to
go.
Answer:
The percent of the increase for the money the class raised is 10 %
Step-by-step explanation:
Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %
Help me plz need the steps
In Figure 7 (open photo), GH is a diameter of the circle. What is
x² + y² ?
A)58
(B) 49
(C) 10
D) 9
(E) It cannot be determined from the information given.
Answer:
[tex]A)58[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\[/tex]
[tex]Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58[/tex]
[tex]Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58[/tex]
4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answer:
he needs $279
Step-by-step explanation:
715-436= 279
If a = 4 and 5a(2b – 3a) = 40, what is the value of b?
a. 6
b. 7
c. 10
d. 12
Answer:
b=7
Step-by-step explanation:
5a(2b – 3a) = 40
Let a=4
5*4(2b-3*4) = 40
20(2b-12) = 40
Divide each side by 20
20/20 (2b-12) = 40/20
2b-12 =2
Add 12 to each side
2b-12+12 = 2+12
2b = 14
Divide by 2
2b/2 = 14/2
b = 7
When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?
Answer:
5
Step-by-step explanation:
(45 + x) / 2
add 45 to a certain number and divide the sum by 2
= 5 × x
is 5 times the number
(45 + x)/2 = 5x
45 + x = 10x
45 = 9x
x = 5
2. The volume of a cube is 8 cm", find the length of one of its sides
Answer:
Step-by-step explanation:
The question has an error. Volume is expressed in cubic units. You probably mean cm³ .
Volume = 8 cm³
Length of each edge = ∛8 = 2 cm
Answer:
2cm
Step-by-step explanation:
Volume of cube=a^3 cubic units
8=a^3
a=cuberoot of 8
which is 2
If a line has a slope of -2 and goes through the point (1, -3), then the equation for the line in slope-intercept form is what?
Answer:
y = -2x - 1
Step-by-step explanation:
Plug in the slope and given point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-3 = -2(1) + b
-3 = -2 + b
-1 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = -2x - 1
So, the equation of the line is y = -2x - 1
Steven’s basketball team won 5 out of their first 12 games. If they continue to win at this rate, how many games will they lose if they play 49 games?
Answer:
29 losses in 49 games.
Step-by-step explanation:
The number of games that they lost in the first 12 = 12 - 5 = 7
7/12 = x / 49 Multiply both sides by 49
7*49 / 12 = x
x = 343/12
x = 28.5833
What do you do with the 0.5833? I would say round up to 29.
4) If the perimeter of a square is 48cm",
What is the length of each side?
Simplify your answer.
Answer:
If the total perimeter of square is 48 cm, then the length of one side is equal to 48 divided by 4, since all sides of a square are the same.
So, the correct answer is 12.
Let me know if this helps!
The length of each side is 12cm.
Explanation:
The perimeter of a square is calculated by the formula:
P = 4a , where P = perimeter, and a = length of any side, all sides being equal in a square.
From the given data we write:
48 = 4a
Divide both sides by
4.12 = a
The length of each side is 12cm.
find the measure of b
========================================================
Explanation:
Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.
For any inscribed quadrilateral, the opposite angles are supplementary
c+100 = 180
c = 180-100
c = 80
Angles b and c are supplementary as well, because they form a straight line.
b+c = 180
b+80 = 180
b = 180-80
b = 100
In short, angle b is the same measure as that 100 degree angle in the diagram.
Step-by-step explanation:
Hi there!
From the above figure;
Let "x" be an unknown angle.
Then;
100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}
X = 180°-100°
Therefore, X= 80°.
Now;
X+b = 180°. {linear pair}
80° + b = 180°
Therefore, b = 100°.
[Next method:
b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]
Hope it helps.
The height of an object dropped from the top of a 144-foot building is given by ℎ(. How long will it take the object to hit the ground?)=―162+144
Answer:
Step-by-step explanation: h(t) = -16t2 + 144
h(1) = -16(12) + 144 = 128 ft
h(2) = -16(22) + 144 = 80 ft
h(2) - h(1) = 80 - 128 = -48 ft
It fell 48 ft between t = 1 and t = 2 seconds.
It reaches the ground when h(t) = 0
0 = -16t2 + 144
t = √(144/16) s = 3s
It reaches the ground 3s after being dropped.
