The sum of two rational numbers will always be rational
[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational
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°
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
What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?
Answer:
Look at the attachment
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.
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
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]
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.
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
To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10
Answer:
The digit goes to the right of the decimal point
Step-by-step explanation:
If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.
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
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!
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.
* 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.
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
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
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
Can someone help please??
Answer:
BC= 5.87 (nearest hundredth)
Step-by-step explanation:
Please see attached picture for full solution.
Can someone help me please?
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
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
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.
Learn more about co-ordinates here:
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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.
To learn more about the rotation visit:
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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.
If the circumference of a circle is below 72 what is the length of AB
Answer: 12
Step-by-step explanation:
The circle is 360 degrees in total
360/6 = 60
72/6 = 12
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.
Learn more about Pythagorean triple here:
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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.
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.
: )
Determine which of the following relations is a function.
A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10
B.
X Y
-3 2
-1 1
0 2
0 1
3 4
C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6
D.
X Y
0 2
1 4
2 2
2 6
5 7
Answer:
A. X Y
-10 10
-5 5
0 0
5 -5
10 -10
Step-by-step explanation:
Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.
Answer: It’s A and C
Step-by-step explanation:
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:
