Answer:
the length of the radius of the Earth Model = 9cm
Step-by-step explanation:
The volume of the model of Earth is approximately 3052.08 cubic centimeters.
It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.
The formula for the Volume of a Sphere = 4/3 πr³
Where r = radius or the length of the radius
The Volume of the Earth Model = 3052.08 cm³
We are told to use π = 3.14
To find the length of the radius, we have derive the formula
V = 4/3 × π × r³
V = 4πr³/3
Cross multiply
3V = 4πr³
Divide both side by 4π
3V/4π = r³
We find the cube root of both sides =
∛(3V/4π) = r
Substituting our given values in the question, we have:
∛(3 × 3052.08/ 4 ×3.14) = r
r = ∛9156.24÷12.56
r = ∛729
r = 9cm
Therefore, the length of the radius of the Earth Model = 9cm
63 people are going to the zoo. There are 3 cars to take people to the zoo. How
many will go in each car if the same number go in each car?
Answer:
21
3x21= 63 have a great day
Step-by-step explanation:
BRAINLIEST PLEASE
i need to fill in the blanks for these
Answer:
the median for A is 26 and the mean for B is 24
Step-by-step explanation:
since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.
18+19+21+25+29+32=144
144 divided by the # of terms 6 gives our mean 24 for B.
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
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What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
please answer neat will mark brain.
Answer:
9.110° and y are the same(alternate angles)
thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°
z(alternate)=70°
10.y=78°. x=(180-78)=102°. z=102°
11.x=83°. y=(180-83)=97°. z=97°
12.y=37°. x=(180-37)=143. z=143°
to confirm the answers all angles in a circle at the centre add up to 360°
Kara did a survey to determine to study the types of pets that students in her school had. She surveyed 300 students and found that 40% of them had cats, 12% had both cats and dogs, and 45%
didn't have either. How many of the students that Kara surveyed had dogs?
1) 61
2) 71
3) 81
4) 91
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs , [tex]n(C \cap D)[/tex] = 12%
Percentage who had neither cats nor dogs, [tex]n(C \cup D)'[/tex] =45%
Now:
Universal Set, [tex]U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'[/tex]
[tex]100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%[/tex]
Therefore:
Number of Students who had dogs
=27% of 300
=81
Can someone help please??
Answer:
BC= 5.87 (nearest hundredth)
Step-by-step explanation:
Please see attached picture for full solution.
I will give the brainliest answer
Answer:
The answer is B.
Step-by-step explanation:
The shape form a Rectangular Pyramid.
Answer:
B, a Pyramid
Step-by-step explanation:
The net has a square base with 4 triangular faces. D, which is also a triangular prism, is not right as it has a triangular base, with every side being a triangle.
So B is the right answer.
How is completing the square for an expression different than completing the square to solve an equation?
Answer:
Completing includes a change for the extra term has to be subtracted
Where completing the square to an equation will always result in finding what equals zero.
Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Answer:
3.5 is your answer.
Step-by-step explanation:
(7.7x10^-2) divided by (2.2x10^-2
Just *Divide*
Hope this helps.
: )
Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
* ANSWER ASAP *
This is difficult for me, and i don't get it??
Answer:
28
Step-by-step explanation:
DI is a radius, which is half of a diameter. CJ is a diameter, so you just double toe radius which is 14, to get 28.
Answer:
28
Step-by-step explanation:
Since DI is 14, then DJ would be the same length, and so would DC. So we add DJ plus DC, which is 14+14. 28 is our answer.
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
17n=0.5n what is the value of n
Answer:
N=0
Step-by-step explanation:
If we wanted to answer the question mathematically, we could solve like so:
17n=0.5n
17n-0.5n=0.5n-0.5n
16.5n=0
n=0
Calculate the slope between the points (5,2) and (1,-6).
Answer:
2
Step-by-step explanation:
The slope formula is change in y over change in x, in this case it's [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]
Answer:
go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6
Step-by-step explanation:
Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.
Answer:
Volume V = 164,636,210,208.924 km^3
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr^3
radius r = 3400 km
Volume of mars V = (4/3)π×3400^3
V = 164,636,210,208.924 km^3
Help pure people pls
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
Which sequence of transformations will map figure H onto figure H′?
Answer:
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
Step-by-step explanation:
The answer above me would be the answer if the problem was focussed on the y-axis, but, the problem is focussing on the x-axis.
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
We have given that,
the sequence of transformations will map figure H onto figure H
We have to determine the transformation given in the following diagram.
What is the rotation of the origin?Rotation about the Origin is a transformation that rotates or turns a figure (e.g., a triangle) about the origin point (x,y)→(0,0).
( x , y ) → ( 0 , 0 ) . The angle of Rotation: The number of degrees that a figure is turned or rotated about the origin.
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
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What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?
Answer:
Look at the attachment
The solution of the equation 10 - (x +2) = 7x is -
5
-2
0
1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
We have the equation
[tex]10-(x+2)=7x[/tex]
The first thing we need to do is distribute the negative throughout the parenthesis
[tex]10-x-2=7x[/tex]
Now, we can combine like terms
[tex]8-x=7x[/tex]
Now we can add x to each side
[tex]8x=8[/tex]
And lastly, we can divide each side by 8
[tex]x=1[/tex]
Our last step is to check our answer
[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]
Answer:
1
Step-by-step explanation:
1) 10-x-2=7x
2) -x + 8 = 7x
3) 8x=8
4) x=1
How do you solve this
Answer:
3.76 × 10^4
Step-by-step explanation:
1. Work out what they are.
1.26 × 10^4 = 12600 (check your calculator to see if I'm right)
To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.
2.50 × 10^4 = 25,000
By doing the same thing above.
2. Add them together
12,600 + 25,000 = 37,600
3. Change the answer into its scientific notation
To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).
37600 ÷ 10,000 = 3.76
Next:
Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:
3.76 × 10^x what is x?
x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.
(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)
So your final answer is: 3.76 × 10^4
describe to a friend how to graph a point at (2,5)
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
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7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
Answer:
Step-by-step explanation:
[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]
[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]
wiil mark bianleast
Which describes the translation?
7 units to the right and 2 units down
7 units to the right and 2 units up
2 units to the left and 7 units up
7 units to the left and 2 units down
Answer:
7 units to the right and 2 units up
Step-by-step explanation:
Identify a 1 in this sequence 13,15,17,19
Answer:
13
Step-by-step explanation:
a₁ represents the first term in the sequence. Here the first term is 13, thus
a₁ = 13
Suppose that F(x) = xo and G(X) = -2X3. Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
compressed vertically.
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically
Step-by-step explanation:
Given:
F(x) = x³G(x) = -2x³If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).
If we multiply -F(x) by 2, we stretch it vertically.
Find the surface area.
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
Can someone help me please?
This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!
Answer:
98092718
Step-by-step explanation:
lets convert cubic yards to cubic meters
1 cubic meter=1.30790290586 cubic yard
there is an estimated amount of about 750,000,000*1.30790290586 cubic yards
750,000,000*1.30790290586= 980927179.395 cubic yards
now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10
980927179.395/10=98092717.9395
round to the greatest whole number (there can't be any sediment left on Mt. Helens)
98092717.9395 to 98092718
we need 98092718 dump trucks to scoop it all up
Can someone please tell me what the slope of the line in this graph is!!!!!!
Answer:
-1/3 I think
Step-by-step explanation:
I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/
Hope this helps though :)
Answer:
slope = y2-y1
x2- x1
= 4-2 = 2
6-0. 6
= 1/3
