Answer:
Magda is incorrect
Step-by-step explanation:
Given
Formula:
[tex]K = \frac{P}{2.59M}[/tex]
Population Density of Canada = 3.57 people per km²
Population of Russia = 143.96 million
Land Mass of Russia = 6.593 million square miles
Required
Which country has a greater population density.
First, the population density of Russia needs to be calculated using the given formula;
[tex]K = \frac{P}{2.59M}[/tex]
Here, P = 143.96 million
M = 6.593 million square miles
Substitute these values in the above formula;
[tex]K = \frac{143.96}{2.59 * 6.593}[/tex]
[tex]K = \frac{143.96}{17.07587}[/tex]
[tex]K = 8.43[/tex] people per square miles
Before we can make any comparison, we have to convert the unit of K to people per square kilometre.
From unit of standard conversion;
1 square miles = 2.58999 square kilometre
Hence;
[tex]K = \frac{8.43}{2.58999}[/tex]
[tex]K = 3.25483882177[/tex]
[tex]K = 3.25[/tex] people per km²
Given that the Population Density of Canada = 3.57 people per km²
And We solved for the Population Density of Russia = 3.25 people per km²
By Comparison, the Population Density of Canada is greater than the Population Density of Russia;
Hence, Magda is incorrect
can someone teach me how to do this?
Step-by-step explanation:
[tex]pythagorean \: theorem \\ {hypothenes}^{2} = { {x}^{2} + {y}^{2} } \\ {17}^{2} = {x}^{2} + {15}^{2} \\ 289 = {x}^{2} + 225 \\ {x}^{2} = 64 \\ x = 8cm[/tex]
What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the of a cubic meter?
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8
radius=
2
diameter
=
2
37.6
=18.8
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (18.8)^3
3
4
π(18.8)
3
27833.1369876
27833.1369876
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{27833.1369876}{2}
2
27833.1369876
Divide volume by 2
13916.5684938
13916.5684938
\approx 13916.6\text{ m}^3
≈13916.6 m
3
Round to the nearest tenth
You deposit $600 in a savings account. the account earn 4% simple interest per year.
Answer:
use some memes juice
Step-by-step explanation:
memes
A craft project requires 5/6 yard of ribbon to make 4 refrigerator magnets. How many inches of ribbon are needed for each magnet?
Answer:
30 inches/4=7.5 inches
Step-by-step explanation:
Answer:
7.5 inches
Step-by-step explanation:
Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches
If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as
Answer:
[tex]9x^2-5x-7[/tex]
Step-by-step explanation:
[tex]d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7[/tex]
Hope this helps!
Answer:
[tex]9x^{2} -5x-7[/tex]
Step-by-step explanation:
A soccer player makes 85% of her penalty kicks during her career. If she scores 51
times on penalty kicks, how many penalty kicks did she attempt?
Answer: 60 total penalty kicks
Step-by-step explanation:
She makes 51 = 85% of her penalty kicks. If 51 = 85% of x, how much is 100% (total penalty kicks)?
51 = 0.85x
x = 51/0.85 = 60 total penalty kicks
Choose the correct simplification of x7/y9 2
Answer:
First choice :
[tex] \frac{ {x}^{14} }{ {y}^{18} } [/tex]
Hope this helps...
4 + (-6) =
-6 +(-5)=
Answer:
4 + (-6) = -2
-6 +(-5)=-11
Step-by-step explanation:
4 + (-6) = 4-6=-2
-6 +(-5)= -6-5 = -11
HCF(320, x) = 20, LCM(320, x) = 2240, then x =
Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
Which models can be used to solve the problem?This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
$149.60 that's what he will have left
A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.
Answer:
BC ≈ 10.4 mm(1 decimal)
Step-by-step explanation:
The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.
AC = opposite side = 7.4 mm
AB = adjacent side = 7.3 mm
BC = hypotenuse = ?
Using pythagoras theorem we can find the longest side which is the hypotenuse
c² = a² + b²(pythagoras formular)
where
c = hypotenuse side
BC² = 7.4² + 7.3²
BC² = 54.76 + 53.29
BC² = 108.05
square root both sides
BC = √108.05
BC = 10.3947101931
BC ≈ 10.4 mm(1 decimal place)
x/a+x/b=1
make x the subject of the formular
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{a}[/tex] + [tex]\frac{x}{b}[/tex] = 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
Find 5/12 of 24 a.20 b.10 c.12 d.15
Answer:B10
Step-by-step explanation: When they say the expression 5/12 of 24, they were asking you to divide 5 by 12 and then multiply the amount by 24.
If you found this answer helpful, give it a five-star rating and a thanks!
(Even a brainliest if you feel like it! ;D)
Answer:
10
Step-by-step explanation:
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answer:
1. y = -3x + 5
2. y = 1/4x - 2
Step-by-step explanation:
y=mx+b
1. 5 = -3(0) + b, so b = 5
y = -3x + 5
2. (-2-(-1))/(0-4) = -1/-4 = 1/4
-2 = 1/4(0) + b, so b = -2
y = 1/4x - 2
Answer: -3x+5
1/4x - 2
Step-by-step explanation:
PLEASE HELP
Find the surface area of the triangular prism.
Answer:
139
Step-by-step explanation:
First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.
In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.
Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.
Now add all the individual area's together. (They're bolded for clarity).
Simply by using order of operations 4+(9•2)+(4-1)-4
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
4+(9•2)+(4-1)-4
PEMDAS says parentheses first
4+(18)+(3)-4
Then add and subtract from left to right
22 +3-4
25 -4
21
how much interest is earned on $1470 at 4% for six months
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
Calcula la distancia "d" que debe recorrer un obrero para llegar hasta el punto mas alto de la rampa si dicha rampa mide 25 metros de base y tiene un angulo de inclinación de 21º en la subida y 28º en la bajada
Answer:
Step-by-step explanation:
Which expression equals 9 cubed square root 10
Answer:
B
Step-by-step explanation:
Can you help me with this scatter plot question please?
Answer:
There is a outlier and a negative relationship.
Step-by-step explanation:
negative shows that it goes from top to bottom and left to right (unless some numbers are switched around.) with this we also notice that there is a dot that is away from the group (the outlier)
correct answers only!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$13,260
Step-by-step explanation:
B = 3000(1 + 0.14)t = 3(1.14)t
Plugging in 3 for t, we get B = 3000 * 1.14 * 3 = 10,260. This is just the interest though. We still have to add back the original $3,000, and when we do so, we get 3000 + 10260 = $13,260. Hope this helps!
Answer:
4444.63
Step-by-step explanation:
B = 3000(1 +0.14)^3
B = 3000(1.14)^3
B =4444.632 or 4444.63
Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his addresses, the number of emails in his personal account decreases by 10% and the number of emails in his work account decreases to 722 each month. Question .How can Joe calculate the number of emails he will receive each month in his personal account after changing his address?
Answer:
702 emails
Step-by-step explanation:
This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.Given data
Average personal emails received monthly = [tex]780 emails[/tex]
Average work emails received monthly[tex]= 760 emails[/tex]
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.
[tex]depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails[/tex]
The new number of mails
[tex]= initial number of mail- depreciation\\ =780-78= 702 emails[/tex]
Joe will be receiving an average of 702 emails in his personal account monthly
what is the answer to this
Answer:
5 over 4x
i used photomath so it should be right
HELP PLZZ Which of the following actions will always be independent events?
selecting two cards from a standard deck, one at a time
selecting two marbles from a bag, one at a time
flipping two coins, one at a time
picking two letter tiles from a hat, one at a time
Answer:
The third one i think. They are separate.
Step-by-step explanation:
Answer:
C: Flipping two coins, one at a time.
Explanation:
A, B, and D all include all different objects like Cards, Marbles, and Letter tiles. These are all items of quantity. Flipping two coins is independent because they are singular objects (that aren't inside of a bag or a hat).
Find the area of the figure
A. 139.5 cm squared
B. 144.5 cm squared
C. 47.0 cm squared
D. 172.0 cm squared
Answer:
B 144.5
Step-by-step explanation:
split the shape into two, the rectangle and triangle
area of rectangle is B*H, do 13*9, which is 117, then area of a triangle, 1/2 BH, so (5*11)/2, which is 27.5 then add 27.5+117 to get 144.5
What is −48−−−−√ in simplest form?
Answer:
[tex] 4i \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{-48} = [/tex]
[tex] = \sqrt{-1} \times \sqrt{16 \times 3} [/tex]
[tex] = i \times \sqrt{16} \times \sqrt{3} [/tex]
[tex] = i \times 4 \times \sqrt{3} [/tex]
[tex] = 4i \sqrt{3} [/tex]
Amy had to solve 26 problems. After 3.6 hours, she had 8 problems left to solve. If she solved the same number of problems each hour, how many more hours does she need to work in order to complete the remaining problems?
26-8 = 18
She answered 18 questions in 3.6 hours.
18 problems/ 3.6 hours = 5 problems per hour.
8 problems / 5 problems per hour = 1.6 hours more are needed.
HELP!! Deadline is this afternoon!!!
Find the area of a circle with diameter 18in . Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
254.34[tex]inches^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi*radius^2[/tex]
The radius is the length from the side to the centre.
Pi=3.14
In order to work out the area you would first need to work out the radius. You can do this by dividing the diameter of 18 by 2, this gives you 9. This is because the radius is half of the diameter.
Now that we have worked out the radius the next step is to work out the area. You can do this by multiplying pi by the radius of 9 squared, this gives you 254.34 inches squared.
1) Divide 18 by 2.
[tex]18/2=9inches[/tex]
2) Multiply pi by 9 squared.
[tex]\pi*9^2=254.34inches^2[/tex]
Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the
original pyramid?
Answer:
27:1
Step-by-step explanation:
If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.
Volume of Pyramid = [tex]\frac{length * width * height}{3}[/tex]
Volume Pyramid 1 = [tex]\frac{3*3*3}{3}[/tex] = 9
Volume Pyramid 2 = [tex]\frac{9 * 9 * 9}{3}[/tex] = 243
243/9 = 27/1 or 27:1
Answer:
The new volume is 27 times the original volume.
Edgenuty
Who were the tributes paid to?
Answer:
The Aztecs made conquered people pay tributes, and asked cities, states, and countries to pay.
Hope this helps :)