Answer:
81920
Step-by-step explanation:
Finding the common ratio (r) :
20/102Finding the 14th term :
a₁₄ = ar¹⁴⁻¹a₁₄ = ar¹³a₁₄ = (10)(2)¹³a₁₄ = (10)(8192)a₁₄ = 81920Answer:
the 14th term in the sequence would be 81920.
Step-by-step explanation:
because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.
Help!! Which of the following is equivalent to 3 6
— = —— ?
X X-4
Answer:
3rd Option - 3(x-4) = 6x
Step-by-step explanation:
To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :
[tex]\frac{3}{x} = \frac{6}{x-4}[/tex] -----> [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)
Now to remove x-4 under 6x we do the following :
[tex]{3}= \frac{6x}{x-4}[/tex] ------> [tex]3(x-4)= {6x[/tex]
Therefore giving our answer as the 3rd option.
Hope this helped and have a good day
In circle o, mzaob=41. what is maxb?
(not drawn to scale)
b 221
319
o
a 82
41
b
Answer:
82+41=awnser
Step-by-step explanation:
82+41= smart
Ben and greg go to the movies and purchase snacks. Ben purchases four cookies and two bottles of water for a total cost of 9.00. Greg purchases two cookies and two bottles of water for a total cost of 7.00. What is the total cost of a bottle of water?
Answer:
Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference
between two combinations is the cost of 2 cookies, and it is equal to $9 - $7 = $2. So 2 cookies cost $2.
Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to $7 - $2 = $5.
Answer. A bottle of water costs $2.50.
Step-by-step explanation:
You have combined different polygons to create a polyhedron to approximate a sphere. The sum of all the faces of the polyhedron is about 78.5 square meters. Estimate the radius of the sphere.
Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
What is the surface area of sphere?The surface area of sphere is given by A = 4πr² where r = radius of sphere
Radius of the sphereMaking r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
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I'LL MARK BARINLEST!!!(With the help of the drawing tool, create a box plot using the data in Table 1.)
-------------------------------------
TABLE 1
----------------
height(Inches)
--------------------
61-64-62
55-66-65
58-60-63
63-58-59
62-64-67
57-61-57
65-58-59
62-57-61
Answer:
Median
Order the data values from smallest to largest:
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61
Quartiles
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
The first quartile is the median of the data points to the left of the median ⇒ first quartile = 58
The third quartile is the median of the data points to the right of the median ⇒ first quartile = 63.5
Five-number summary
Minimum: 55First quartile Q1: 58Median Q2: 61Third quartile Q3: 63.5Maximum: 67Draw a box from the first quartile (58) to the third quartile (63.5)
Add the median (61) as a the vertical line through the box.
The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).
On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.
The possible orders in which Elliott can do these tasks is 24
What is Permutation ?
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
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The volume of a right cone is 17287 units³. If its circumference measures 247 units,
find its height.
The height of the right cone is 10.68 unit
What is Volume ?Volume is defined as the space occupied by a three dimensional object.
Volume of a right cone is given by
V = π r²h/3
C = 2 π r
r = 247/2 π
3 * 17287 = π r²h
3 * 17287 = π *(247/2 π )²h
h = 51861 *π *4/61009
h = 10.68 unit
Therefore the height of the right cone is 10.68 unit.
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There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.
Answer:
137,114
Step-by-step explanation:
First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.
PLEASE HELP ILL MAKE YOU BRAINIEST
Answer:
obtuse
Step-by-step explanation:
A "form factor" can be computed whose sign will tell you the classification of the triangle. For short sides a, b and long side c, the form factor is ...
f = a² +b² -c²
And the interpretation is ...
f > 0 . . . acutef = 0 . . . rightf < 0 . . . obtuse__
form factorFor the given side lengths, the form factor is ...
f = 11² +15² -20² = 121 +225 -400
f = -54
interpretationThe value is less than zero, signifying an obtuse triangle.
_____
Additional comment
The value f/(2ab) = -54/(2·11·15) = -9/55 is the cosine of the largest angle. Here, the largest angle is arccos(-9/55) ≈ 99.4°. This is greater than 90°, hence an obtuse angle.
This cosine relation comes from the Law of Cosines. The interpretation of the "form factor" can be developed by considering the Pythagorean theorem (f=0 ⇒ right triangle) and the relationship between sides and angles. If the longest side is longer than necessary for a right triangle, the largest angle will be greater than 90°.
the average of 5 girls is 6 yrs. the average of 4 of them is 16½. what is d age of d fifth gal
Answer:
This assumes the question should read:
"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal
The age, d, is 14 years.
Step-by-step explanation:
When the girl with age d is not included, the average goes up to 16.5 years. Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years. d is the age of the girl that is removed from the average.
We know that all the girls (GroupA + d) have an average age of 16 years:
(GroupA + d)/5 = 16 years [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].
We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:
(GroupA)/4 = 16.5 years
This tells us the sum of the ages for GroupA:
GroupA = 4*(16.5)
GroupA total = 66 years
From above: (GroupA + d)/5 = 16 years
Since GroupA = 66 years, (66 years + d)/5 = 16 years
(66 years + d) = 90 years
d = 14 years
LABEL THE CIRCLE BY FILLING THE BOXES WITH THE APPROPRIATE PARTS OF THW CIRCLE.
The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
The radius is the double the diameter.
The longest chord in the circle is diameter.
The angle formed at the centre is known as centeral angle.
Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
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12.36:
the measures of two angles in a parallelogram add to [tex]204^{\circ}[/tex] . find the measure of each of the other two angles.
Step-by-step explanation:
in a parallelogram we have 2 equally large angles and 2 equally small angles.
the sum of all 4 angles must be 360°.
so let's first determine what angles are together 204°.
if it would be 2 neighboring angles, it would be the sum of a large and a small angle.
and the sum of the remaining 2 angles would be the same (again 204°).
but that that would together be 408°. too much.
so, it can only be that the 2 given angles are a pair of equal angles. and each would be
204/2 = 102°
as they are larger than 90°, they are the large angles in the parallelogram.
so, the other 2 angles are the pair of equally large small angles. together they have
360 - 204 = 156°
and each one is then
156/2 = 78°
Point L is located at (-1,-6). Determine the coordinates of point L’ after a translation 7 units to the left and 6 units up.
Answer:(-8,0)
Step-by-step explanation:
Add (-1,-6) with translation move (-7,6)
-1 , -6
-7 , 6
____
-8 , 0
in the figure above m is parallel to the line n the measure of angle one is 40 degrees what is the measure of angle 2
Step-by-step explanation:
angle 2+40=180
angle 2=180-40
angle 2=140
the answer Is 140 degree
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are infinitely many solutions to the system because the equations represent the same line
What is the value of a?
Answer:
Any more information to the problem?
Step-by-step explanation:
2а + 20 = -3а - 5 pls help
Answer: A= -5
Step-by-step explanation:
Answer: a = 5
Step-by-step explanation:
To solve, we will isolate the variable a.
Given:
2а + 20 = -3а - 5
Add 3a to both sides of the equation:
5а + 20 = - 5
Subtract 20 from both sides of the equation:
5а = 25
Divide both sides of the equation by 5:
a = 5
10 · c − 8 · 95 = (10 − 8) · 95
Answer:
x=95
Step-by-step explanation:
First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.
5. What is the measurement of each angle?
Answer:
x=14
Step-by-step explanation:
The sum of a interior angle is 180°
(7x-11)+(2x-3)+(5x-2)°=180°
7x+2x+5x=180+11+3+2
14x/14=196/14
x= 14
Hope this answers your question!! :)
easy points!! i don't understand how to complete these, i have a few left just need help really since it's due tomorrow x
The perimeter of the sector = 47.905 cm
47.905 cm is greater than 47.5 cm.
What is the Perimeter of a Sector?Perimeter of a sector = Arc length + 2(radius).
Arc length = ∅/360 × 2πr
Given the following:
r = 11 cm∅ = 135°Perimeter = (∅/360 × 2πr) + 2(r) = (135/360 × 2×π×11) + 2(11)
Perimeter = 25.905 + 22
Perimeter = 47.905 cm
Thus, the perimeter of the sector (47.905 cm) is greater than 47.5 cm.
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Write an inequality for the graph shown below.
Use x for your variable.
-11-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0
4
2
w.
O
ロマロ
X
S
6 7 8
口<口
S
9 10 11 X
OSO
?
Step-by-step explanation:
x is less than or equal to 0.
so click x than the choose the third option then click 0
Help!! I don’t understand how to answer this
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
If the bowl contains 5 red marbles 7 blue marbles and 8 white marbles what is the probability you will draw a blue and red marble when you pick one out?
5/20
15/20
7/20
2/5
Answer:
none of those are correct.
Step-by-step explanation:
5 red
7 blue
8 white
5 red + 7 blue= 12
5 red + 7 blue + 8 white= 20
=12/20
=6/10
=3/5xavier has a golf score of -7 and curtis has a golf score of -12 who has the higher score
Answer:
xavier
Step-by-step explanation:
in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?
Express the quotient as a fraction in simplest form
-5/7 ÷ 6/7
A. 5/6
B. -30/49
C. 30/49
D. 5/6
Answer:
-5/6
Step-by-step explanation:
A great way to divide fractions is to use the "leave it, change it, flip it" method. You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal. Like this:
-5/7 ÷ 6/7
-5/7 x 6/7
-5/7 x 7/6
Then you multiply through. First -5 x 7, -35, and then 7 x 6, 42, to get -35/42. Because both of these are divisible by 7, we can simplify to get -5/6.
Answer:
-5
6
Step-by-step explanation:
⇒ [tex]\frac{-5}{7}[/tex] ÷ [tex]\frac{6}{7}[/tex]
⇒ [tex]\frac{-5}{7}[/tex] × [tex]\frac{7}{6}[/tex]
(We do this because when dividing a fraction by another fraction we take the inverse of the second fraction and multiply it to the first fraction.)
⇒ -5 × 7 = -35 (to simplify just divide both by 7) = -5
7 × 6 42 6
So the answer is -5
6
In this figure, a || b | c and m/1 = 50°
What is m/3 ?
O 40°
O 50°
O 130°
O I don't know.
The value of m<3= 130
The correct option is (c)
What is alternate interior angle?Given:
m<1= 50
m<1+ m<2= 180 (Linear pair)
m<2= 180-50
m<2=130
Now, m<2 = m<3 [alternate interior angles]
m<3= 130
Hence, the measure of <3 is 130.
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Answer:
The person above me is correct
Step-by-step explanation:
39. The table shows the average U.S. crude oil imports in thousands of barrels per day.
(8 points total)
Determine the correlations coefficient, r, for a linear, exponential, and
quadratic model. Round to the 3 decimals places
Year
1930
Linear:
Exponential:
1940
1950
Quadratic:
1960
1970
1980
1990
Based on the correlation coefficient, which model is the best?
2000
Imports
170
117
487
1015
1324
5263
5894
9071
Answer:
2000 imports is the best i think
PLEASE HELPP! ILL GIVE BRAINLIEST!
Which graph represents a quadratic function that has exactly one real zero?
There exists one real zero when the vertex lies on the x-axis, from that we conclude that the correct option is A.
Which quadratic function has only one real zero?
The real zeros of a quadratic function are the values of x at which the graph of the quadratic function intercepts the x-axis.
If we want only one real zero, then we must have only one intercept. And this only can happen if the vertex of the quadratic function lies on the x-axis.
As you can see, the only graph where that happens is the one in option A, so we conclude that option A is the correct one.
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Question 4 multiple choice answer for me
Answer: The answer is B.
Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.
5x – 2x + 7 – x = ?x + ?
I need the answer for "no solution" and "infinite solutions".
(preferably with an explanation)
thanks to anyone who helps
Step-by-step explanation:
5x – 2x + 7 – x = ?x + ?
I need the answer for "no solution" and "infinite solutions".
NO SOLUTION:
no solution because any value you give to x is not solvable, it remains +7
5x – 2x + 7 – x = ?x + ?
2x = 2x + 7
INFINITE SOLUTION
infinite solutions because any value you give to x is solvable
5x – 2x + 7 – x = ?x + ?
5x – 2x + 7 – x = 2x + 7
2x + 7 = 2x + 7