Answer:
50 and C
Step-by-step explanation:
Remark.
The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is
4 8 16
8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2
So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.
Solution
12 / mean = mean / a Cross multiply
mean^2 = 12*a
But the mean is given as 10sqrt(6)
12a = 100 * 6
12a = 600
a = 50
20 / mean = mean /a
mean^2 = 20 a
mean = 10 sqrt (10)
100 * 10 = 20*a
a = 1000 / 20
a = 50
6x - y= 16 and 3x + 2y + -12 Answer.
Answer:
x= 4/3
y= -8
if you ment 3x + 2y = -12 in the second problem
Step-by-step explanation:
plzz helpp all of this is due today :(
Answer: square root property
Step-by-step explanation:trust me
what is the meaning of the quadratic formula. write it down?
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer:
Below.
Step-by-step explanation:
The formula, which gives the solutions of the equation, is
x = [-b ±√(b^2-4ac)]/2a.
- a, b and c are the coefficients of the quadratic equation
ax^2 + bx + c = 0.
How long will it take Seb to run 4000 m at an average speed of 5 m/s?
Give your answer in minutes and seconds.
Answer:
800 seconds or 13 minutes 20 seconds
Step-by-step explanation:
.......
Work Out The Answers
Answer:
A1.) 87 + 63 =150
180 - 150 = 30
all the As is the same formula....
B1.) 180 - 123 = 57
57 + 82 = 139
180 - 131 = 41
Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns
Answer:
B.
Step-by-step explanation:
The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.
Answer:
B. The chance to earn by working in a library
Step-by-step explanation:
This is a guess
PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?
A. Induction
B. Symmetry
C. Scientific method
D. Deduction
Answer:
B. Symmetry
Step-by-step explanation:
They are symmetrical, meaning they are mirrored or both look the same.
Hope this helps! :)
Find the measurement of ∠PON
Find the mean, median, and mode of the following set of data:
54, 48, 37, 55, 51, 54, 42, 52, 53
Answer:
Step-by-step explanation:
mode is means the data which is repeated maximum number of times.
here 54 is repeated maximum number of times so the mode of the given data is 54.
to calculate median u must arrange the data from ascending to descending order.
37 , 42 , 48 , 51 , 52 , 53 , 54 , 54 , 55 ,
median = (N + 1) /2 (N means number of data)
=9 + 1/2
=10/2
=5 th term
=52
Would appreciate any help!
Please help!!!!!
the depth, g(x), of a nautical measuring instrument, is given in feet above or below the surface of the water given the number of days the instrument was in the water, x. if g(x)=-2x-1, which best gives the value of g(4)?
Answer:
x = 2x - 1
x - 2x = -1
-x = - 1
x = 1
g = 1
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?
Answer:
24000ml or 24L
Step-by-step explanation:
wxhxl = volume
20cm x 30cm x 40cm = volume
volume = 24000cm3
1cm3 = 1ml
24000cm3 = 24000ml
1000ml = 1L
24000ml = 24L
simplify the complex fraction.
Answer: 2/5
Step-by-step explanation:
14/6 - 15/6 divided -5/12
-1/6 / -5/12
2/5
hope this helps!
In the decimal expansion of the fraction 1/13, what digit is in the 2021st decimal place?
please answer correctly (full answers)
Answer:
2
Step-by-step explanation:
1/13 = 0.07692307692307
1/13 has a 6 place repeating decimal
076923 076923
2021/6 = 336 5/6
There will be 336 complete sets and then
2021 will be the 5th place of 076923
find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )
Answer:
Solution given:
letA=(10,-4)
B=(-2,-4)
centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]
radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
(x-4)²+(y+4)²=36
or.
x²-8x+16+y²+8y+16=36
x²-8x+8y+y²=36-32
x²-8x+8y+y²=4
The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.
Answer:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
Step-by-step explanation:
the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter
since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle
remember midpoint formula,
[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]
let,
[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]thus substitute:
[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]
simplify addition:
[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]
simplify division:
[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]
so the centre of the circle is (4,-4)
since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is
[tex] \displaystyle r = 4 - ( - 2)[/tex]
simplify which yields:
[tex] \displaystyle\boxed{ r =6}[/tex]
recall the equation of circle
[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
we acquire that,
h=4k=-4r=6therefore substitute:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]
simplify:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
and we are done!
also refer the attachment
(the graph is web resource of desmos)
Help me!! Please help me find the answer!!
Answer:
x = 42°
Step-by-step explanation:
You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.
96 • 2 + 2y = 360
168 = 2y
y = 84
x is half of y.
84 ÷ 2 = 42
Answer:
[tex]x=42^{o}[/tex]
Step-by-step explanation:
Area of a triangle is 180 degrees
Here both the triangles are same so, form an equation:
[tex]x+x+96=180[/tex]
[tex]2x+96=180[/tex]
[tex]2x=180-96[/tex]
[tex]2x=84[/tex]
[tex]x=84/2[/tex]
[tex]x=42^{o}[/tex]
if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)
Answer:
(f-g)(x)=4x^2+1-x^2+5
=3x^2+6
=3(x^2+2)
Can someone help me please
Answer:
x = 1
AB = 9
BC = 9
AC = 18
Step-by-step explanation:
Given that B is the midpoint of AC, we can say that
AB = BC
x² + 8x = 4x + 5
subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x
x² + 4x - 5 = 0
Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into
(x+5)(x-1) = 0
Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get
-5²+8(-5) =4(-5) + 5
-15 = -15
As a line segment cannot have negative length, and x² + 8x = 4x + 5 is negative when x=-5, x=-5 is not a viable solution
Next, for x=1, we get
1²+8(1) = 4(1) + 5
9=9
Therefore, x=1 is the only solution we have.
We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 = 9 for both AB and BC
Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18
|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)
Answer:
x < [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
someone answered this and its correct
Step-by-step explanation:
:D
Do you know how to do this?
Answer:
[tex]y=4(3)^{x}[/tex]
Step-by-step explanation:
Let the exponential function is,
f(x) = (b)ˣ
If this function has the base (b) = 3, function will be.
f(x) = (3)ˣ
If this function is transformed by a vertical stretch by a factor of 4,
New function will be,
g(x) = 4(3)ˣ
If the function 'g' is reflected across y-axis, new function will be,
h(x) = g(-x)
h(x) = [tex]4(3)^{x}[/tex]
Therefore, equation of the function will be,
[tex]y=4(3)^{x}[/tex]
Which construction is shown in the figure below?
Answer:
C
Step-by-step explanation:
Perpendicular bisector of line segment AB
(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)
Answer:
[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]
What is constant of proportionality? I'm still having trouble understanding it. Can someone please give me a give problems and tell me how to find the COP (constant of proportionality) <3 thamks.
Answer:
See Explanation
Step-by-step explanation:
Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.
Illustration; y is directly proportional to x
The above statement can be represented as:
[tex]y\ \alpha\ x[/tex]
When converted to an equation, you get
[tex]y\ =k x[/tex]
k, in the above equation, represents the constant of proportionality
Divide both sides by x to solve for k
[tex]k = \frac{y}{x}[/tex]
Take for instance: [tex]y = 3x[/tex]
Divide both sides by x
[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality
Please help!!!!!!!!!!!!
what is the length of the missing leg?
Answer:
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex]a^2+40^2=47^2\\[/tex]
Simplify,
[tex]a^2+1600=2209\\[/tex]
Inverse operations,
[tex]a^2=609[/tex]
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Answer:
b = 9 mm
Step-by-step explanation:
Using Pythagoras; identity in the right triangle
b² + 40² = 41²
b² + 1600 = 1681 ( subtract 1600 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9 mm
What are the values of m and in the diagram below?
Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth
Answer:
25.9 feet
Step-by-step explanation:
If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle
Therefore we can use the pythagorean theorem to solve this problem
The two legs of the right triangle will be 23 and 12
The formula is a^2 +b^2=c^2
c^2 is the diagonal squared ( the hypotenuse)
So:
12^2+23^2=c^2
144+529=c^2
673=c^2
To find just c we need to find the square root of 673, rounded to the nearest tenth
[tex]\sqrt{673}=25.9[/tex]
(the equation is rounded)
So the diagonal is 25.9
PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
(2.75 x 10⁵ ) / (2.25 x 10² )
= (2.75 / 2.25) x 10⁵⁻²
= 1.2 x 10³ times .
(That's 1,200 times as many.)
I hope this helps!
Answer:
1221.2 times more
Step-by-step explanation:
number of bacteria last week = [tex]2.25*10^2[/tex]
= [tex]2.25*100[/tex]
= [tex]225[/tex]
number of bacteria this week = [tex]2.75*10^5[/tex]
= [tex]2.75*100000[/tex]
= [tex]275000[/tex]
[tex]275000 - 225 = 274775[/tex]
[tex]274775 / 225 = 1221.2[/tex]
Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr
Answer:
Step-by-step explanation:
1,2,2,3,4,5,7
Median is 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
What is median?
The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).
Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.
The given data: 7, 2, 1, 4, 5, 2, 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
Therefore, the Median is 3.
To learn more about median
https://brainly.com/question/12279205
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What is the value of X in the situation