Answer:
16.97
Step-by-step explanation:
the geometric mean value of a set of n numbers is the nth root of the product of all n numbers.
so, here this means
[tex]gm = \sqrt[6]{3 \times 6 \times 12 \times 24 \times 48 \times 96} [/tex]
this would be 16.97
but careful, the problem only asks for the gm between 6 and 48 of the sequence.
so, we actually only consider the subset 6, 12, 24, 48.
therefore
[tex]gm = \sqrt[4]{6 \times 12 \times 24 \times 48} [/tex]
this is also
[tex]gm = \sqrt[4]{3 \times 2 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 2} [/tex]
[tex] = \sqrt[4]{ {3}^{4} \times {2}^{10} } [/tex]
[tex] = \sqrt[4]{ {3}^{4} \times {2}^{4} \times {2}^{4} \times {2}^{2} } [/tex]
[tex] = 3 \times 2 \times 2 \times \sqrt[4]{ {2}^{2} } [/tex]
[tex] = 12 \times \sqrt{2} [/tex]
so, we could specify the result as that simple expression
or calculate it
gm = 16.97
hey, the result is the same as for the complete sequence.
coincidence ? no, it is not. but that is a subject for a different question.
Nicole bought a microwave that was originally priced for $950
but it was 30% off. His sales tax is 7%. How much was his total bill
for this microwave?
Two right triangles are similar and have areas of 36 m and 144 m². If the hypotenuse of the larger
triangle is 30 m long, what is the length of the hypotenuse of the smaller triangle?
Answer: 18
Step-by-step explanation:
Find the scale factor: 144/36= 4. But scale factor of area is r^2=4=> r= 2
Hypotenuse of small triangle is:
36/x=2 => x=18
What is the measure of Zy?
139 yº
Answer:
y = 41°
Step-by-step explanation:
∡ y and 139° are adjacent angles and sum to 180° , that is
∠ 1 + 139° = 180° ( subtract 139° from both sides )
∠ 1 = 41°
What is the length of AC ?
Answer:
there is no enough data to find the answer
*7. Admission to a museum is $8.20 per adult and $4.10 per child. The expression
8.2a + 4.1c represents the total cost in dollars for admission for a adults and a
children
A group of friends, consisting of 6 adults and 6 children attend the museum. One of
the adults has a coupon for one free adult admission and one child's admission at half
price. What is the total cost for the whole group to enter the museum?
Answer:
$63.55
Step-by-step explanation:
if one of the adults has a free coupon for adult admission, then we have 5 adults
8.20 x 5 = $41
We have 6 children and one with half pay
= (5 x 4.1) + (4.1/2 )
= 20.5 + 2.05
=$22.55
41 + 22.55 = $63.55
A horse runs in a field the speed time graph represents the first 12 seconds of the run after how many seconds had the horse run a distance of 75 metres
Answer:
9.5 seconds
Step-by-step explanation:
0-4 seconds => 20 meters
4-9.5 seconds => 55 meters
total = 75 meters
A horse run a distance of 75 metres in 9.5 seconds.
What is Speed?
The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time.
Here, From the graph,
when, t = 4 sec.
distance = 4 X 10 X 1/2
= 20 meters
Now, 75 - 20 = 55 meters
So, 55/10 = 5.5 seconds
Total time = 5.5 + 4
= 9.5 sec.
A horse run a distance of 75 metres in 9.5 seconds.
Thus, A horse run a distance of 75 metres in 9.5 seconds.
Learn more about Speed from:
https://brainly.com/question/7359669
#SPJ2
The ages in years of a study group are 12,13,13,13,14 and 15. Another 12- year old joins their group
Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points) A= 90 B=120 C=150
First to answer correctly gets brainliest, and show your work!
Answer:
b*h/2 120*90/2 10800/2=5400
Step-by-step explanation:
The area of the red triangle with sides A= 90 B=120 and C=150 would be equal to 5400.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
It is given that the length of the sides are as A= 90 B=120 C=150.
So, The area of the triangle = 1/2 x b x h
= b x h/2
= 120 x 90/2
= 10800/2
= 5400
Learn more about triangles;
https://brainly.com/question/7116550
What is the volume of a hemisphere with the radius of 24 ft?
Answer:
Toby began his math homework at 6:38 pm.
He finished at 7:09 pm.
How many minutes did Toby spend on his math homework?
Step-by-step explanation:
are -2 and 2 equivalent?
Answer:
No
Step-by-step explanation:
-2 is 2 places left of the origin while 2 is 2 places right.
A rate or ratio with a denominator of one is called
Answer:
Unit rate
Step-by-step explanation:
What is the first step in solving the following equation?
28 = -12 - 4x
Answer:
4x = - 12 - 28Step-by-step explanation:
When we transpose - 4x to the LHS then it becomes positive i.e +4x
Now we transpose 28 to the RHS then it becomes negative i.e - 28
So the first step you have to is,
4x = - 12 - 28
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
1847.26 yards cubed
Step-by-step explanation:
V=πr^2h
π*49*12= 1847.26
Have a good day :)
8.
Write the slope-intercept form of the equation for the line.
A. y = 2x – 1
B. y = – 2x – 1
C. y =[tex]\frac{1}{2}x-1[/tex]
D. y = [tex]\frac{1}{2}x+1[/tex]
Answer:
y = 2x – 1
Step-by-step explanation:
i got a 100%
Answer:
A. y = 2x - 1
Step-by-step explanation:
First, find the slope. You can either use the rise/run method or use the slope formula, y2-y1/x2-x1. For the rise/run method, the rise is 4 and the run is 2, so... 4/2 = 2. If you want to use the slope formula, use the two coordinate sets, (1, 1) and (-1, -3). -3-1/-1-1 = -4/-2 = 2. Next, find your y-intercept. Use the slope-intercept formula, y = mx + b. M stands for the slope and b stands for your y-intercept. You can use either the coordinates (1, 1) or (-1, -3) to plug in for the x and y. In this scenario, I'll use (1, 1).y = mx + b
Plug in your values. (2 for m)
1 = 2(1) + b
Simplify.
1 = 2 + b
Subtract 2 from both sides.
-1 = b
Finally, form your equation together.
y = 2x - 1
In the diagram shown, m_3 = 3x - 16 and m_4 = x + 84. Find the value of x. o 25 50 34 28
Answer:
50
Step-by-step explanation:
m3 and m4 are going to be equaivalent due to some law I don't remember the name of.
So, 3x-16 = x+84
(do some rearranging)
2x=100
x=50
Can you help me on unmber 2 or 3 Plzz show work
Step-by-step explanation:
In,
Question 2 I have already answered,
Q. 3)
Given Question:[tex] \frac{ {c}^{2} }{d} [/tex]
Given values:-
c = 6 , d = 3
By putting the values in the question,
[tex] \frac{ {6}^{2} }{3} [/tex]
[tex] = \frac{36}{3} [/tex]
= 12 (Ans)
a. Find the mean, median, and mode of 12, 9, 17, 15, 10.
mean:
median:
6
Answer:
Mean: 12.6
Median: 12
Mode: None
Step-by-step explanation:
To find the mode, add everything up.
12 + 9 + 17 +15 + 10 = 63. Then, divide by five.
63 ÷ 5 = 12.6
To find the median, put the numbers from least to greatest. Then, highlight the one in the middle.
9, 10, 12, 15, 17
To find the mode, look for the number that appears the most. Because each number appears once. So, put "none" in the box.
Have a wonderful day!
Find the circumference of given circle. Use 3.14 for n
Answer:
B. 43.96
Step-by-step explanation:
The formula for circumference is C = 2 × pi × radius
2( 3.14 ) = 6.28
6.28( 7 ) = 43.96
Hope this helps ^^
HELP ME IM GETTING TIMED
Answer:
3/4 0.75 75%
Good luck!
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
8.25 pounds
bsnNMNsjsjshs
Zoe had [tex]\frac{1}{3}[/tex] bag of cookies left. She needed to share it with 2 of her friends
Answer:
each friend would get [tex]\frac{1}{6}[/tex] of the bag
Step-by-step explanation:
when you divide a fraction, you use the KCF (keep, change, flip) method so,
[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{2}{1}[/tex]
[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{6}[/tex]
please help me on this problem
Answer:
1/64 or 0.015625
Step-by-step explanation:
11,22,22,13,24,22 find the hunderds too
Answer:
excuse me, but how do we answer this? This question is unanswerable without it being a question!
Step-by-step explanation:
Kelly subtracts 60° from 90° to find the measure of a missing
angle in an angle pair. What type of angle pair is she working
with?
Answer:
acute
Step-by-step explanation:
Answer:
Complementary angle pair is here working
Hope you satisfyedplease help!!!!!!!!!
Answer:
that would be 1
Step-by-step explanation:
in this equation x=74 and 74/74 equals one
9x+y=9=3x-2y=-11 i need the answer
Answer:
x= 1/28+y + 11/84
Step-by-step explanation:
14. Michelle purchased three stuffed bears for the price shown. The sales tax on her
purchase was 8.5%. What was the total cost for the stuffed bears? Round to the nearest
cent.
$9.49
w
F. $10.30
G. $30.89
H $80.67
3. $2.42
Answer: $30.89
Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent
I’m failing and areas aren’t my best subject, please help!
No links please ASAP!!! Find the slope of the line that passes through (5,3) and (4,2).
Answer:
1
Step-by-step explanation:
y2 - y1/ x2 - x1
3-2/ 5-4 = 1/1 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
what is the mean median mode range of 1 1 2 1 1 3 3 4
Answer:
16 is mean
median is 2
mode is 1
range is 3
Step-by-step explanation:
mean is total added
median is the middle- 1+1
mode- occurs most
and range is the biggest minus smallest #'s