Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements, [tex](n_1, n_2, ..., n_n)[/tex], is given by:
[tex]G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}[/tex]
That is, the nth root of the multiplication of all elements.
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In this question:
Two elements(n = 2), a and 34.[tex]G = 6\sqrt{17}[/tex]Thus:
[tex]\sqrt{34a} = 6\sqrt{17}[/tex]
We find the square of each side, so:
[tex](\sqrt{34a})^2 = (6\sqrt{17})^2[/tex]
[tex]34a = 36\times17[/tex]
Simplifying both sides by 17:
[tex]2a = 36[/tex]
[tex]a = \frac{36}{2}[/tex]
[tex]a = 18[/tex]
The value of a is 18.
A similar example is given at https://brainly.com/question/15010240
Squere root of 23 is between which two consecutive integers ?
Answer:
4 and 5
Step-by-step explanation:
4^2 = 16
5^2 = 25
I neeed Help it easy
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
What is 10 x 0.018?
0.18
1.8
18
180
Answer:
0.18
Step-by-step explanation:
hope this helps
Answer:
0.18
Step-by-step explanation:
multiply them together
Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks
Answer:
$210
Step-by-step explanation:
$300 - (5 x 18)
= 300 - 90
= $210
An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?
Answer:
well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6
Step-by-step explanation:
so just add 4.2 or 5.6 to hours and you will get you question at what time he left
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW
Someone help please
1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees
Answer:
A
Step-by-step explanation:
This uses the sine law.
Sin(theta)/113 = sin(42)/120 Multiply both sides by 113
sin(theta) = 113*sin(42)/120
sin42 = 0.6691
sin(theta) = 113 * 0.6691 / 120
sin(theta) = 0.630008
theta = sin-1(0.63008)
theta = 39.1 Looks Like A
CORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).
Answer: Choice C. f(x) and g(x) have a common x intercept.
Explanation:
The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.
The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.
This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.
The set S = {x\-4 Plz help ASAP
Answer:
[ - 4, 8 ]
Step-by-step explanation:
parenthesis ( ) is used when end values are not equal to x
brackets [ ] are used when the end values are equal to x
For - 4 ≤ x ≤ 8
Then x can equal both - 4 and 8 , so
[ - 4, 8 ] ← is the appropriate interval notation
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18
what is an expression for...
4x + 4x + 4x + 4x + 4x + 4x
Answer:
24x
Step-by-step explanation:
4x + 4x + 4x + 4x + 4x + 4x
=> 4(x + x + x + x + x + x)
=> 4(6x)
=> 24x
3. When six is added to six times a number the result obtained is the same as when the number is added to 10 and
the result multiplied by 3. Form an equation and solve it to find the unknown number.
Answer:
Equation x(6+6)=3(10+x)
x=3.33
Step-by-step explanation:
Form an equation:
x(6+6) The result of 6+6 is multiplied by x, so you would put 6+6 in a bracket (you do what's inside the bracket first in BODMAS) and the x on the outside so you times the result by x.
3(10+x) The number x is added to 10 and the result is multiplied by 3, so the 10+x would go in a bracket with 3 on the outside.
These equal each other, so you would put an equals sign between it to make:
x(6+6)=3(10+x)
Solve to find x:
12x=30+3x You expand the brackets to make this.
9x=30 You would move 3x to the other side by doing the inverse and taking away 3x from 12x.
x=3.33 To get x you would have to do 30 divided by 9 which is 3.33.
Hope this helps :)
The number asked is 8
What is an equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, When six is added to six times a number, the result obtained is the same as when the number is added to 10 and the result multiplied by 3.
Let the number be x,
Establishing, the equation,
6x+6 = 3(x+10)
6(x+1) = 3(x+10)
6/3(x+1) = x+10
2(x+1) = x+10
2x+2 = x+10
x = 8
Hence, the required number is 8.
For more references on equations, click;
https://brainly.com/question/29657983
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Shreya has a photo that is 16 cm tall and 20 cm wide. She wants to put a frame around the photo which would have the same width all around.
Represent the area of the whole frame as a polynomial in terms of the width around the photo.
A.[tex]x^{2} + 36x + 320[/tex]
B.[tex]-4x^{2} - 72x + 320[/tex]
C.[tex]4x^{2} + 72x + 320[/tex]
D.[tex]-x^{2} - 36x - 320[/tex]
A photo is usually rectangular in shape. This means that if a frame is to be put around the photo with the same width all round, it means that if the width is "x", then the new length and width will be (l + 2x) and (w + 2x) respectively where l is length and w is width.
Option C is the correct answer
Data Given;
Height of Photo: 16 cm
Width of Photo: 20 cm
Since she wants to put a frame with same width around the photo, let's represent this width as x.
Thus;
New height = 16 + 2x
New width = 20 + 2x
Area of a rectangle is given as:
A = Length * width
Thus, in this case;
A = (16 + 2x) × (20 + 2x)
Multiplying out, we have;
A = [tex]4x^{2} + 32x + 40x + 320[/tex]
A = 4[tex]x^{2} + 72x + 320[/tex]
Looking at the given options, Option C is the correct answer
Read more at: brainly.com/question/11289399
A class is made up of 8 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?
Answer:
1/6
Step-by-step explanation:
The total amount of people 8+4=12
there are 4/2=2 girls with glasses
the probability to chhose a girl with glasses is 2/12=1/6
What is 1,025 divided by 68
Answer:
15.07352941
Step-by-step explanation:
in short 15.07
H(x) = 1/x+2 and k(x) = 3x - 4
h[k(x)] =
A.(3x - 4)/(x+2)
B. 1/(4x - 2)
C. 1/(3x - 2)
Answer:
= 1/ (3x-2)
Step-by-step explanation:
H(x) = 1/(x+2)
k(x) = 3x - 4
h[k(x)] = place the function k(x) in for x in the function h(x)
= 1/(3x-4 +2)
Combine like terms
= 1/ (3x-2)
Hey there! I'm happy to help!
What we need to do is take the value of k(x) which is 3x-4 and plug it into the function h(x).
This is because our x in the function h[k(x)] is k(x), so we will substitute that value for x in that formula and that will give us our answer.
H[(k(x)]=1/(3x-4+2)
And combine like terms
H[(k(x)]=1/(3x-2)
So, our answer is C. 1/(3x-2)
Have a wonderful day and keep on learning! :D
5.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. exponential; y = 89 • 0.62x
B. linear; y = 0.62x + 89
C. quadratic; y = 0.62x2 + 89
D. quadratic; y = 89x2 + 0.62
Answer:
A. exponential; y = 89 • 0.62x
Step-by-step explanation:
exponential; y = 89 • 0.62^x
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.
9514 1404 393
Answer:
50.3 inches
Step-by-step explanation:
720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...
C = 2πr
C = 2π(4 in) = 8π in
Then 2 times that is ...
height lifted = 2(8π in) = 16π in ≈ 50.3 in
The object was lifted about 50.3 inches.
a text message plan costs $1 per month plus $0.41 per text. find the monthly cost for x text messages
the monthly cost of x messages is _ dollars
Answer:
Cost = $1 + $0.41x
Step-by-step explanation
solve for y 7y-3y=8
plzzzz answer
will give brainliest!!!!
Answer:
Step-by-step explanation:
7y-3y= 4y
4y=8
Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.
y= 2
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
stay safe stay happy
Answer: Area= 1400[tex]meter^{2}[/tex]
Step-by-step explanation:
ok so we can assume the
breadth=X
so, length = X+5 (because the length is 5 meters more than the breadth)
perimeter= 150 meters
the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)
so now if we put the values,
2 * ( X+5 +X) = 150 ( because 150 is the perimeter)
2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).
now we multiply 2 with both sides
so ( 2 * 2X) + (2 * 5)
hence, 4X + 10 = 150
now we will solve the equation,
4X= 150 -10 (because we did transposal the signs will change from "+" to "-")
4x= 140
again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing
so now,
X= 140÷4
which is equal to 35
so finally X = 35
so as we have written in the beginning breadth= X
and LENGTH= X+5
so now we have found X
BREADTH= 35
LENGTH= 40 (because 35+5 is 40)
now we have to find area the formula for finding the area is LENGTH×BREADTH
so, 40 × 35 = 1400
now we put the unit which is square meters also known as [tex]m^{2}[/tex]
so there is your final answer 1400[tex]m^{2}[/tex]
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
See below
Step-by-step explanation:
22. 30 = 2 * 3 * 5
23. 126 = 2 * 3 * 3 * 7
24. 4900 = 2 * 2 * 5 * 5 * 7 * 7
25. 39204 = 2 * 2 * 3 * 3 * 3 * 3 * 11 * 11
26. There's no square number
27. The highest common factor are
30 is 5
126 is 7
4900 is 7
39204 is 11
28. The lowest common factor are
30 is 2
126 is 2
4900 is 2
39204 is 2
What about you? What did you get?
please help me for my homework
I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense
Answer:
The correct choice is option B. -7 ≤ x < 12
Step-by-step explanation:
(1.2E-3) x (4.6E-1) =
Answer:
0.0012*x*0.46
Step-by-step explanation:
2x+1<9
Compound inequality
Answer:
x < 4
Step-by-step explanation:
2x+1<9
Subtract 1 from each side
2x+1-1<9-1
2x< 8
Divide by 2
2x/2 <8/2
x < 4
Collect 5 large numbers and 5 small numbers related in life and express them as exponents.
Answer:
the large numbers are
125,100,234,450,650,550
I hope u will be able to make it in an exponents form if u can not feel free to ask me
the small numbers are
10,20,30,40,50
Have a happy day ahead
