Geometric series have the same ratio. The series which is a geometric series is 1, 3, 9, 27.
What is a geometric series?A series of numbers is a geometric series if the quotient of any two consecutive numbers is the same.
A series of numbers is a geometric series if the quotient of any two consecutive numbers is the same.
A.) 0.1 0.3 0.5 0.7
To check if the series is geometric series, find the quotient.
[tex]r_1=\dfrac{0.3}{0.1} = 3\\\\r_2 = \dfrac{0.5}{0.3} = 1.66[/tex]
Since the ratio is different this is not a geometric series.
B.) 1 3 9 27
To check if the series is geometric series, find the quotient.
[tex]r_1=\dfrac{3}{1} = 3\\\\r_2 = \dfrac{9}{3} = 3[/tex]
Since the ratio is the same this is a geometric series.
C.) 19 17 15 13
To check if the series is geometric series, find the quotient.
[tex]r_1=\dfrac{17}{19} = 0.8947\\\\r_2 = \dfrac{15}{17} = 0.8823[/tex]
Since the ratio is different this is not a geometric series.
D.) 0.4 0.9 1.5 2.2
To check if the series is geometric series, find the quotient.
[tex]r_1=\dfrac{0.4}{0.9} = 0.4444\\\\r_2 = \dfrac{0.9}{1.5} = 0.6[/tex]
Since the ratio is different this is not a geometric series.
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Answer:
its b 1 + 3 + 9 + 27
Step-by-step explanation:
Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?
Answer:
33 chocolates
Step-by-step explanation:
3 chocolates times 5 days = 15 chocolates
48 chocolates minus 15 chocolates = 33 chocolates
m∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?
Answer:
neither
Step-by-step explanation:
complementary means the angles should add up to 90∘ but here in this case they add up to 190.
Supplementary means the angles add up to 180∘ but again in this case they don't.
which means the answer only has one choice.
I need help, please!
Answer:
100
Step-by-step explanation:
[tex]10^1=10\\\\10^2 = 100\\\\10^3 = 1000\\\\10^4 = 10000\\\\10^5 = 100000\\\\10^6 = 1000000[/tex]
Raina is mailing packages. Each small package costs her 2.30 to send. Each large package costs her 4.10 . How much will it cost her to send 7 small packages and 4 large packages?
Answer:
32.5
Step-by-step explanation:
Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.
Need help with 7 and 8
Answer:
see explanation
Step-by-step explanation:
The tangent segments are equal so you set them equal to each other and solve.
7) 3x-6 = x + 10 8) 4x + 2 = 2x + 8
Find the approximate volume of the cone.
o 1,017.4 cm
226.08 cm
o 324 cm
Answer:
~ 1017.4
Step-by-step explanation:
volume of a cone 1/3 pi r^2 h
1/3 pi * 9^2 * 12 = 1017.8
the side view of a roof is shown below. What is x the height of the roof to the nearest tenth of a foot?
Answer:
J
Step-by-step explanation:
42/2=21 or one triangles.
Using the Pythagorean Theorem A^2+B^2=C^2
441+?=625
[tex]\sqrt{184}[/tex] or about 13.6
10. Which of the following situations represents a proportional relationship?....
F. A pizza is $7.95 plus $1.00 for each additional topping.
G. A pool fills at a rate of 90 gallons per hour.
H. A health club charges a $40.00 membership fee plus $25.00 per month.
J. A bank account begins with $350.00 and gains $30.00 per month.
Answer:
G A pool fills at a rate of 90 gallons per hour
Step-by-step explanation:
i dont know
factor the following expression
[tex]16x^{2} - 25[/tex]
[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]
M ∠ 7 = ______ °
m ∠ 8 = ______ °
m ∠ 9 = ______ °
Answer:
Step-by-step explanation:
m∠7 = 360° ÷ 6 = 60 °
m∠8 = 60° ÷ 2 = 30 °
m∠9 = ( [tex]\frac{180-60}{2}[/tex] )° = 60 °
write 1 1/3 as a percent
Answer:
1.3
Step-by-step explanation:
⅓ put into to decimal form is a repeating decimal
Answer:
133.3333333%
Step-by-step explanation:
1 = 1.00 = 100%
1/3 = 0.3333333 = 33.33333333%
Note that the extra 3s are for repeating decimals.
Solve for m. Please Help!
Answer:
m = 39°
Step-by-step explanation:
angles on the circumference of the circle subtended by the same arc are congruent.
∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )
then ∠ ADC = 36° + 33° = 69°
Opposite angles of a cyclic quadrilateral sum to 180° , so
∠ ABC = 180° - 69° = 111°
then
m + 72° = 111° ( subtract 72° from both sides )
m = 39°
Two shops sell the same brand of baked beans but in different sizes of tin.
Calculate the price of 1 kg of baked beans for each shop.
Give your answers in pence.
Write the shop which is better value in the comment box.
Shop A
Shop B
BAKED
BEANS
BAKED
BEANS
5kg for £5.75
2kg for £2.12
Answer:
Step-by-step explanation:
shop a=115p
shop b=106p
shop b better value as its cheaper
I need help with this PLSSSSS
Answer:
A) The
B) Curious
C) Young
D) Science
E) Student
F) Who
G) Sat
H) Up
I) All
J) Night
K) Trying
L) To
M) Figure
N) Out
O) Where
P) The
Q) Sun
R) Goes
S) Until
T) It
U) Finally
V) Dawned
W) On
X) Him
Carlos answered 122 questions correctly on his multiple choice science final and earned a grade of 61%. How many total questions were on the final exam?
In how many ways can 6 policemen be assigned to 12 coaches of a passenger train if he must ride in a different coach
Answer:
665280
Step-by-step explanation:
12x11x10x9x8x7=665280
There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
What is Probability?Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.
It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.
In above example,
There are 6 policemen
Number of coaches assigned are 12
So, the number of ways are 12x11x10x9x8x7=665280 ways
Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
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PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11
Answer:
abce
Step-by-step explanation
correct
Question 6 of 10
What is the slope of the line shown below?
6.9)
O A
7
O B.
OB
O c. /
OD.
ON
5
15
7
5
0.-5)
Slope = change in y / change in x
slope = (9 - -5) / ( 6-0)
Slope = 14/6
Divide by 2
Slope = 7/3
Answer: B. 7/3
Nathaniel wants to ride his bicycle 23.2 miles this week. He has already ridden 4 miles. If he rides for 4 more days, what is the average number of miles he would have to ride each day to meet his goal?
Answer: 4.8 miles a day
Step-by-step explanation:
Goal distance 23.2Miles
He rides 4miles, he is left with 23.2- 4= 19.2
Divide 19.2 into 4 days
Nathaniel needs to ride an average of 4.8 miles per day for the next 4 days to meet his goal of riding 23.2 miles this week.
Here, we have to find the average number of miles Nathaniel needs to ride each day to meet his goal, we can use the formula:
Average miles per day = (Total miles goal - Miles already ridden) / Number of days left
Let's plug in the values:
Total miles goal = 23.2 miles
Miles already ridden = 4 miles
Number of days left = 4 days
Now, we get,
Average miles per day = (23.2 - 4) / 4
Average miles per day = 19.2 / 4
Average miles per day = 4.8
So, Nathaniel needs to ride an average of 4.8 miles per day for the next 4 days to meet his goal of riding 23.2 miles this week.
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if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?
A- 24
B- 45
C- 60
D- 72
The circumference of the circle is 72cm.
Arc length formula[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]
where
r is the radius of the circle
x is the central angle of the arc
Circumference of the circleCircumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as
circumference of the circle = 2πr
According to the given question we have
central angle of the arc, x = 15 degrees
Arc length = 3 cm
Let r be the radius of the given circle.
Then,
Arc length = 2πr[tex](\frac{15}{360} )[/tex]
⇒ 3 ×[tex]\frac{360}{15}[/tex] = circumference of the circle ( circumference or circle =2πr)
⇒ circumference of the circle = 72 cm
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During which decade did an economic boom and bust occur in the united states? 1900s 1910s 1920s 1930s
An economic boom and bust occurred in the United States during the 1920s, which is also known as the Roaring Twenties.
When the economic boom in the united states took place?This period was marked by a significant increase in consumer spending, economic growth, and technological innovation, particularly in the areas of automobiles, radio, and electricity. However, the boom came to an abrupt end with the stock market crash of 1929, which triggered the Great Depression of the 1930s.
The economic boom of the 1920s in the United States was a period of rapid economic growth and expansion, characterized by a surge in consumer spending, increased industrial production, and the expansion of credit. This period was fueled by a number of factors, including technological innovation, such as the widespread adoption of the automobile and the growth of the aviation industry, as well as the widespread availability of electricity.
The 1920s also saw significant changes in the social and cultural landscape of the United States, with the rise of a new consumer culture that emphasized leisure and entertainment. The entertainment industry grew rapidly during this time, with the rise of radio broadcasting and the popularity of Hollywood films.
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In terms of π, what is the volume of the sphere?
[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]
[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]
[tex]v = 900 \times 4\pi[/tex]
[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]
At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
Solve the system equations! I will give branliest!
Answer:
y = -3, x = 5
Step-by-step explanation:
In the first equation, x = 2 - y, x is on one side. So we can try to isolate the variable x in the second equation by adding 2y + 11 on both sides to get:
x = 2y + 11
So now we have equations x = 2 - y and x = 2y + 11. Therefore 2 - y = 2y + 11. Now we isolate variable y by adding y on both sides and subtracting 11 on both sides to get -9 = 3y. Divide by 3 on both sides to get y = -3.
Let's substitute that into x = 2 - y. Since y = -3, we now have x = 2 - (-3) = 5.
Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10
Answer:
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Step-by-step explanation:
From the graph we can see that
Diameter = 6 units
=> Radius = 3 units and centre is at (-3,7)
=> Equation is Circle with centre (-3,7) and radius of 3 units will be
[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]
[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Use a ratio box to solve this problem. Jason’s remote-control car traveled 440 feet in 10 seconds. At that rate, how long would it take the car to travel a mile?
Answer: 112sec
Step-by-step explanation: Convert 440Feet to mile
0.833mile in 10seconds
1mile will be 10/0.833= 12.00secs
−13d+6≤45 Solve the inequality
Answer:
d ≤ -3
Step-by-step explanation:
Given that:
−13d + 6 ≤ 45
Solve:
Subtracting 6 from both sides
−13d + 6 ≤ 45
-6 -6
-----------------------
−13d ≤ 39
Multiply both sides by -1 which reverse the inequality
13d ≤ -39
Now divide both sides by 13
13d/13 ≤ -39/13
d ≤ -3
Thus the Answer is:
d ≤ -3
Kavinsky
Heyo!
DummySokka is here to help!!
Let's do this step-by-step explanation!
Let's solve your inequality step-by-step:
[tex]-13d+6[/tex] ≤ [tex]45[/tex]
Step 1: Subtract 6 from both sides:
[tex]-13d+6-6[/tex] ≤ [tex]45-6[/tex]
[tex]-13d[/tex] ≤ [tex]39[/tex]
Step 2: Divide both sides by -13
[tex]\frac{-13d}{-13}[/tex] ≤ [tex]\frac{39}{-13}[/tex]
[tex]d[/tex] ≥ [tex]-3[/tex]
Answer:
[tex]d[/tex] ≥ [tex]-3[/tex]
Hopefully, this helps you!!
DummySokka~
Multiply out and simplify (2x-3)(4-5x+x^2)
Step-by-step explanation:
reference attachment ..............
Which set of coordinates represents the reflection of the following image over the y–axis?
A
(–6 , 2), (–4 , 8), (–2 , 2)
B
(6 , 2), (4 , 8), (2 , 2)
C
(–6 , –2), (–4 , –8), (–2 , –2)
D
(–2 , 2), (0 , 8), (2 , 2)
Answer:
B. (6,2), (4,8), (2,2)
Step-by-step explanation:
When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.
Ans: B. (6,2), (4,8), (2,2)
-
(3/4)+1 7/8 divided by 1/2 =n
Answer:
n=1.3125/ if the (3/4) was negative the anwser would be -1.3125
Step-by-step explanation:
Answer:
n = [tex]5\frac{1}{4}[/tex]
----------------------------------------------------------------------------------------------------------
First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]
When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.
[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]
Next, add these two numbers together.
[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]
Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.
[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]
Now, add the whole numbers.
[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]
Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.
[tex]\frac{21}{8} / \frac{1}{2}[/tex]
Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1
[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]
Finally, simplify 42/8
if 8 × 5 is 40 you can tell the number will be close to 40
[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]
That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]