5.3057(600)578)542)(200)
What is the 6th term of the geometric progression
12.6.3, ... ?
Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
Calculate the median of the following set of numbers.
19, 22, 75, 37, 37, 27, 32, 15, 10
Answer:
37
Step-by-step explanation:
10,15,19,22,27,32,37,37,75
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.
Answer:
3%
Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%
Answer:
the answer to the nearest percent is 3%
i need help can yall help
Answer:
360"
Step-by-step explanation:
Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.
who does gymnastics?
answer if you do only
ME!!! I have to because of volleyball and track practicing
A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?
Answer:
No.
Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
Answer:
7 years
Step-by-step explanation:
Let W = number of years they both have to work to make the same amount :
Amount made by Jaylon = 57000
Annual raise = 2500
Titak made after W years :
57000 + 2500w - - - (1)
Amount made by Anita = 64000
Annual raise = 1500
Total made after w years :
64000 + 1500w - - - (2)
Equate (1) and (2)
57000 + 2500w = 64000 + 1500w
2500w - 1500w = 64000 - 57000
1000w = 7000
w = 7000/ 1000
w = 7
Hemce, they'll both earn the same amount after 7 years
Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
Please help me with this problem
Answer: D) [tex]m \angle 2 = m\angle 5[/tex]
================================================
Explanation:
Let's go through the answer choices to see what's true and what's false.
A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
Which pair of lines are perpendicular
Answer:
D
Step-by-step explanation:
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct
A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.
Answer:
62
Step-by-step explanation:
If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:
[tex]|4+58|[/tex] = 62
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
PLEASE HELP MEE ASAP!
Answer:
Step-by-step explanation:
1/6
(5x10₃) x (9x10₇)
answered in standard form
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answer:
∠H = 122°
Step-by-step explanation:
This is a 5-sided polygon. That means the sum of all the angles must equal 540°.
∠H + 107° + 97° + 130° + 84° = 540°
∠H = 540° - (107° + 97° + 130° + 84°)
∠H = 540° - 418°
∠H = 122°
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.
Answer:
vertex = (- 4, - 3 ), equation is x = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 6(x + 4)² - 3 ← is in vertex form
with (h, k ) = (- 4, 3 ) ← vertex
The equation of the axis of symmetry is a vertical line passing through the vertex, with equation
x = - 4
1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f
Answer:
I accidentally clicked I can’t click out
Step-by-step explanation:
Sorry
Find the value of x.
in this problem x equals 10
Step-by-step explanation:
jd
Answer:
13
Step-by-step explanation:
a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?
Answer:
A Clydesdale drinks 840 gallons of water in 28 days.
Step-by-step explanation:
120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
HELPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
:) hard to explain, and takes a LOT of typing I don't really wanna do
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK
Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
To learn more on Ratios click:
https://brainly.com/question/13419413
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