Answer:
The answer is below
Step-by-step explanation:
A geometric sequence is a sequence such that each term after the first is found by multiplying the previous one by a fixed number (common ratio). It is given by:
[tex]a_n=ar^{n-1}\\\\n=1,2,3,\ .\ .\ .[/tex]
where a is the first term, r is the common ratio.
From the question, the first term is 14 (at n = 1). a₁ = 14
After 30 minutes (n = 2), the population is 28. a₂ = 28
After 1 hour (n = 3), the population is 56. a₃ = 56
Common ratio (r) = a₃/a₂ = a₂/a₁ = 56 / 28 = 28/14 = 2
a) This sequence is represented as:
[tex]a_n=14(2)^{n-1}[/tex]
b) After 4 hours, that is n = 9:
[tex]a_9=14(2)^{9-1}=14(2)^8=3584[/tex]
can someone please help me with this
Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2
Answer: E. square root of 2
We can write that in shorthand as sqrt(2)
sqrt(2) = 1.41421 approximately
======================================================
Explanation:
Step 1)
Add up the values to get 18+19+20+21+22 = 100
Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20
The sample mean is xbar = 20
--------------
Step 2)
Subtract the mean from each data value
18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2The results we get are: -2, -1, 0, 1, 2
---------------
Step 3)
Square the results from the previous step
(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4The results here are: 4, 1, 0, 1, 4
---------------
Step 4)
Add up those squares from the previous step: 4+1+0+1+4 = 10
Now divide by n = 5 to get 10/n = 10/5 = 2
The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.
sqrt(2) = 1.41421 approximately
---------------
Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.
ill give brainliest to the correct answer
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
can you please help me to understand the pythagorean theorem, and Trigonometry . i don't really understand it
Answer:
The Pythagoras theorem has three places namely; hypotenus, adjacent, and opposite
Answer:
Step-by-step explanation:
Pythagorean theorem will be applied to right triangles. The formula is a^2+b^2=c^2 where a and b represent the legs of the truss de c is the hypotenuse. Now let’s say I had a leg that was 4 inches and a second leg that was 8 inches. I would then have to try and find the hypotenuse. So plug it into the equation
4^2+8^2=c^2
Now 4 to the power of 2 is 16 and 8 is 64
16+64=c (note we got ride of the ^2 for the c)
So 80=c
Now what we want to do is take the square root of 80 since our c needs to be rooted. So the square root of 80 would be your answer.
Hope this helps
Leroy draws a rectangle that has a length of 11.9 centimeters and a width of 7.6 centimeters. How much longer is the length than the width of Leroy's rectangle?
Answer: 4.3 cm
Step-by-step explanation:
Leroy's rectangle's width is 7.6 cm in length and the length of the triangle is 11.9 cm.
The length is therefore longer than the width and the difference is:
= Length - Width
= 11.9 - 7.6
= 4.3 cm
Solve the proportion.
X/8=4/5
Can someone help me with this ASAP please I’m being timed
Answer:
x=32/5
Step-by-step explanation:
x/8=4/5
x=(4/5)×8
x=32/5
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
What is the size of the blue angle, and what do we call an angle with these measurements?
Answers:
The blue angle is 135 degrees
The angle is obtuse
==========================================
Explanation:
Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.
Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135
Either way, you should get to 135 degrees as the angle value.
-------------
The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.
At a carnival, there are 30 children and 18 adults.
What fraction shows the ratio of children to the total number of people at the carnival
PLZ HELP
graph it please????????????
I need help... how to simplify this ?
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something
Step-by-step explanation:
hope this helps if so mark it brainliest and if you want join meeting
WHATS THE VOLUME PLS HELP
Answer:
Step-by-step explanation:
Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.
Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!
Answer:
The length of side EF is 10 units.
If there is any specific measurement for each unit, multiply 10 by the measurement amount.
Answer:
10 units
Step-by-step explanation:
The side of EF is 10 units
The side of DE is 10 units
The side of DF is about 14.1 units
A teacher uses a stem-and-leaf plot to record the typing speeds of her students, in words per minute.
Drag values to the table to show the median and mode of the data she recorde
What Is The Area Of The Triangle?
Answer:
It's 35, I don't think you need an explanation but if you do ask!
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answer:
260.02 cm²
Step-by-step explanation:
radius of circle= 18.2÷2
=9.1
area of circle= πr²
= 3.14×9.1²
= 260.02 cm² (nearest hundredth)
Answer:
Solution given:
diameter=18.2cm
[r]radius=diameter /2=18.2/2=9.1cm
Now
Area of circle=πr²=3.14*(9.1)²=260.02cm²
The area is _260__ square cm.
giving brainliest to the correct answer !
which product is negative?
• (-3/8)(-5/7)(1/4)
• (3/8)(-5/7)(-1/4)
• (3/8)(5/7)(1/4)
• (-3/8)(-5/7)(-1/4)
Answer:
33333333333333333333333333333333333333333
Step-by-step explanation:3333333333333333333333333333333333333333
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36
Answer:
B. 9
Step-by-step explanation:
the area = π × 3² = 9π ft²
Area of a circle = pi x R^2
R is the radius which is 1/2 the diameter.
R = 6/2 = 3 feet
Area = pi x3^2
Area = 9pi
The answer is B
help please will give brainliest
Answer:
x=2.86 which rounds up to 3 if u need to round
Step-by-step explanation:
which of the following statements is not always true?
a + (-b ) = -b + a
(a + b) + (-c) = a + [b + (-c)]
-(-a) = a
a - (-b) = (-b) -a
Step-by-step explanation:
The answer is a - (-b) = (-b) - a
for example if we take;
a = 4
b = 2
c = 2
and we replace;
4 - ( -2) = (-2) - 4
6 = -6
which is not true....
All the remaining are true....
even u can just use the values of abc and check if its true....
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
32000 )
bill there
13. Express each of the following recurring decimals as a fraction in its simplest
form
a) 0.8333
b) 0.373737
C) 0.321
GIVEN: The decimal numbers are given.
TO FIND: We need to find the fractions.
SOLUTION:
a) The decimal form is 0.8333
[tex]\frac{8333}{10000}\\[/tex]
b)The decimal form is 0.373737
[tex]\frac{373737}{1000000}[/tex]
c)The decimal form is 0.321
[tex]\frac{321}{1000}[/tex]
Please Help asap :((
A circle is represented by the equation below:
(x - 9)2 + (y + 8)2 = 16
Which statement is true? (6 points)
The circle is centered at (-9, 8) and has a radius of 8.
O The circle is centered at (9,-8) and has a radius of 8.
O The circle is centered at (9,-8) and has a diameter of 8.
The circle is centered at (-9, 8) and has a diameter of 8.
Answer:
The circle is centered at (9, -8) and diameter 8.
Step-by-step explanation:
(x-h)^2 +(y-k)^2 =r^2
(x-9)^2+(y+8)^2=4^2
Center: (h,k) = (9,-8)
Radius: r=4
The circle is centered at (9, -8) and radius is 4 or diameter 8.
Pretend you got 86% of the questions on a state test correct. The test had 120 problems. How many problems did you get correct?
Please show or explain your work
Answer:
1 17\43
Step-by-step explanation:
I did the math... i should be right...
PLEASE HELP I WILL MARK BRAINLIEST DUE IN 5 MINUTES
look at attachment
Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
Help plz!!!! WILL MARK BRANLIEST
Answer: 27/64
Step-by-step explanation:
Trust me
What is the midline equation of y = 2 sin( pi/2 x+3)?
Answer:
y = 0 is the midline equation.
Step-by-step explanation:
The midline equation of y = 2 sin( pi/2 x+3) is the same as that of
y = 2 sin( pi/2 x+3) or y = sin( pi/2 x+3), and is
y = 0.
At the pottery class, Lily made a clay mug measuring 6 inches
. She also made a
flower pot, which was 11 times taller than the mug. How tall was the pot?
Answer:
66 pots
Step-by-step explanation:
The height of flower pot is 66 inches
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Measurement of mug = 6 inches
as, the slower pot is 11 times taller than the mug
=11 * 6
=66 inches.
Hence, the height of flower pot is 66 inches
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
PLEASE HELP SOLVE FOR SURFACE AREA!!!
Answer:
4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8
8 x 2 = 16(area of two triangles)
8 x 4 = 32(area of base below)
5.7 x 8 = 45.6 (area of slant)
4 x 8 = 32(area of the rectangle behind the figure)
Add all the given areas:
16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer
OKAY, HELP PLEASE! NEED AT LEAST AN 80 WERE AT 56!
Answer:
24km²
Step-by-step explanation:
12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²
Answer:
24 km²
Step-by-step explanation:
12 - 4 = 8
8 ÷ 2 = 4
4 · 3 = 12
12 ÷ 2 = 6
4 · 3 = 12
6 km² + 12 km² + 6 km²
24 km²