Answer: I have no clue what the second one is but the first one is 1.
Step-by-step explanation:
When the same constant is added to the numbers 60, 100 and 180 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
The common ratio of the resulting sequence is 1.4.
Given that, the three terms are 60, 100 and 180.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
Let the same constant is added to the given number is x.
60+x, 100+x and 180+x
Now, the common ratio is
(100+x)/(60+x) = (180+x)/(100+x)
⇒ (100+x)(100+x)=(180+x)(60+x)
⇒ (100+x)²=10800+180x+60x+x²
⇒ 10000+200x+x²=10800+180x+60x+x²
⇒ 10000+200x=10800+180x
⇒ 20x=800
⇒ x=40
The three number are 100, 140 and 220
The common ratio is 140/100 =1.4
Therefore, the common ratio of the resulting sequence is 1.4.
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5(u-3)-3=-3(-6u+4)-3u
Answer:
u = -3/5
Step-by-step explanation:
5(u-3) - 3 = -3(-6u + 4) - 3u
(5u - 15) - 3 = (18u - 12) - 3u
5u - 18 = 15u - 12
-18 = 10u - 12
-6 = 10u
u = -6/10
u = -3/5
OK for real this is a hard only verified experts can do this!!!!
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
Consider the equation x3 + 2x = 5.
The above equation cannot have two real roots because:
1. The Mean Value Theorem is not applicable to f on x € [0,2].
2. The Intermediate Value Theorem is not applicable to f on x € (0,2).
3. f'(c) has no real roots.
4. f'(c) has only one real root.
5. All of the other options are incorrect.
Câu A. Một sợi dây không giãn, khối lượng dây không đáng kể, được vắt qua một ròng rọc cố định. Hai đầu dây buộc hai vật có khối lượng tương ứng là m1 =500g và m2 <m1. Sau 2 (s) kể từ lúc bắt đầu chuyển động, hệ vật đi được 400 (cm). Tính m2 và sức căng của dây.
Find the slope and y intercept of each line.
Answer: y=x+1
Step-by-step explanation:
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
NEED HELP ASAP!!!!!!!!
Therefore, the perimeter of triangle DAB is 53.5 units. Therefore, the area of triangle DAB is 45 square units.
What is area?Area is a measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundary of a flat object or shape, typically measured in square units such as square inches or square meters. The formula for finding the area of various shapes may differ, but in general, it involves multiplying the length and width, or base and height, or using other specific formulas depending on the shape.
Here,
To find the perimeter of triangle DAB, we need to calculate the lengths of the three sides and add them up:
AB = √[(x_B - x_A)² + (y_B - y_A)²]
= √[(-1 - (-18))² + ((-1) - (-1))²]
= √(289)
= 17
AD = √[(x_D - x_A)² + (y_D - y_A)²]
= √[(-10 - (-18))² + (9 - (-1))²]
= √(400)
= 20
BD = √[(x_B - x_D)² + (y_B - y_D)²]
= √[(-1 - (-10))² + ((-1) - 9)²]
= √(121 + 100)
= √(221)
Therefore, the perimeter of triangle DAB is:
Perimeter = AB + AD + BD = 17 + 20 + √(221) ≈ 53.5
To find the area of triangle DAB, we can use the following formula:
Area = 1/2 * |(x_A - x_D)(y_B - y_D) - (x_B - x_D)(y_A - y_D)|
Substituting the coordinates of the three vertices, we get:
Area = 1/2 * |(-18 - (-10))(-1 - (-1)) - (-1 - (-10))(9 - (-1))| = 1/2 * |(-8)(0) - (-9)(10)|
= 45
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1 7 0 suburbs is what percent of 1 7 8 0 suburbs?
Answer:
Percent = 9.6%
Step-by-step explanation:
Given the following data;
Number of suburbs = 170
Total number of suburbs = 1780
To find the percentage;
Percent = 170/1780 * 100
Percent = 17000/1780
Percent = 9.55 ≈ 9.6%
Therefore, 170 suburbs is 9.6 percent of 1780.
(5.6x10^4)x(1.3x10^8)
Answer:
(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12
Answer: =7.28x100010001
Step-by-step explanation: 5.6x104x(1.3x108)
Simplifies to:
7.28x100010001
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
34x-5=12x+6
This has to be 20 characters
Answer:
x=0.5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
Divide both sides of the equation by 2:
x = 1/2 = 0.500
What is [ 8- (2/3) ^2] / ( 5 1/3 - 4 2/3 + 1 1/6 x 2)
Please Help!
Answer: To solve this expression, we first need to simplify the terms in the denominator:
5 1/3 - 4 2/3 + 1 1/6 x 2
We can convert each fraction to a mixed number:
5 1/3 = 5 + 1/3
4 2/3 = 4 + 2/3
1 1/6 x 2 = 2 x 1/6 + 2 = 2 + 1/3
Now we can perform the subtraction:
(5 + 1/3) - (4 + 2/3) + (2 + 1/3)
= 5 + 1/3 - 4 - 2/3 + 2 + 1/3
= 5 + 1/3 - 4 + 2 + 1/3 + 1/3
= 7
So the denominator simplifies to 7.
Next, we simplify the numerator:
8 - (2/3)^2
We can first square the fraction:
(2/3)^2 = 4/9
Now we can perform the subtraction:
8 - 4/9
= 8 - 4/9
= 8 x 9/9 - 4/9
= 72/9 - 4/9
= 68/9
So the numerator simplifies to 68/9.
Finally, we divide the numerator by the denominator:
68/9 ÷ 7 = 9.71
So, the expression simplifies to 9.71.
Step-by-step explanation:
Slope 3/5 yintercept2 write an equation slope-intercept form
The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.
To write the equation of a line in slope-intercept form, we use the formula:y = mx + b
where:
- y represents the dependent variable (the vertical axis)
- x represents the independent variable (the horizontal axis)
- m represents the slope of the line
- b represents the y-intercept, the point where the line intersects the y-axis.
In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:
y = (3/5)x + 2
This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).
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Kyle is a secretary. She earns $12.38 per hour. She worked 42 hours last week. What is her straight time pay?
Answer:
$519.96
Step-by-step explanation:
$12.38 × 42= $519.96
Distance around an unmarked circle can be measured (always, sometimes, never)
Answer:
never
Step-by-step explanation:
:))
Answer:
i think answer is never
Step-by-step explanation:
never
A house is sold for $195,000. The mortgage is $168,745.60 at 8%. Annual taxes are $3,893.25. The closing will occur on June 15. What are the total prorations for interest (for the full month) and for property taxes to the nearest $100? Will the prorations be added to, or subtracted from, the seller's equity?
To calculate the prorations for interest and property taxes, we need to determine the number of days each party (the buyer and the seller) will own the property during the month of June.
There are a total of 30 days in June, so the seller will own the property for 15 days (from June 1 to June 15), and the buyer will own the property for 15 days (from June 16 to June 30).
Prorations for Interest:
The annual interest rate is 8%, which means the monthly interest rate is 8%/12 = 0.6667%. To calculate the daily interest rate, we divide the monthly interest rate by 30 (the number of days in June):
0.6667% / 30 = 0.0222%
The total interest owed for the full month is:
$168,745.60 x 0.6667% = $1,124.28
To calculate the prorated interest for the seller, we multiply the daily interest rate by the number of days the seller owned the property:
0.0222% x $168,745.60 x 15 = $559.02
To calculate the prorated interest for the buyer, we multiply the daily interest rate by the number of days the buyer will own the property:
0.0222% x $168,745.60 x 15 = $559.02
Therefore, the total prorations for interest are:
$559.02 for the seller and $559.02 for the buyer.
Prorations for Property Taxes:
To calculate the prorated property taxes, we divide the annual taxes by 365 (the number of days in a year) to get the daily tax rate:
$3,893.25 / 365 = $10.66 per day
To calculate the prorated property taxes for the seller, we multiply the daily tax rate by the number of days the seller owned the property:
$10.66 x 15 = $159.90
To calculate the prorated property taxes for the buyer, we multiply the daily tax rate by the number of days the buyer will own the property:
$10.66 x 15 = $159.90
Therefore, the total prorations for property taxes are:
$159.90 for the seller and $159.90 for the buyer.
The prorations will be subtracted from the seller's equity because they represent expenses incurred by the seller during the time they owned the property.
In a construction project, the workers determine that 12 screws are
required for every piece of drywall. Each piece of drywall weighs 30 lbs and
each screw weighs 0.011 lbs. The company just received a bulk order of
100 lbs of screws. How many lbs of drywall can they install before they run
out of screws?
The maximum number of pieces of drywall that can be installed before running out of screws is 0.
To determine the number of pounds of drywall that can be installed before running out of screws, we need to consider the weight of both the drywall and the screws.
Given:
12 screws are required per piece of drywall.
Each piece of drywall weighs 30 lbs.
Each screw weighs 0.011 lbs.
The company received a bulk order of 100 lbs of screws.
Let's denote the number of pieces of drywall as "x".
The weight of the screws can be calculated as:
Weight of screws = Number of screws × Weight per screw
Weight of screws = 12 screws × 0.011 lbs/screw
Weight of screws = 0.132 lbs
Now, we can calculate the maximum number of pieces of drywall that can be installed based on the weight of the screws:
Maximum number of pieces of drywall = Weight of screws / Weight per drywall piece
Maximum number of pieces of drywall = 0.132 lbs / 30 lbs
Maximum number of pieces of drywall ≈ 0.0044 pieces
Since it doesn't make sense to have a fraction of a drywall piece, we can round down the result. Therefore, the maximum number of pieces of drywall that can be installed before running out of screws is 0.
In conclusion, with the given bulk order of 100 lbs of screws, the company cannot install any drywall before running out of screws.
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6 in
5 in
A scale drawing of a rectangular parking lot is 6 inches long and 5 inches wide.
The actual parking lot 240 feet long and
feet wide.
Step-by-step explanation:
7 inches → 240 yards
1 inch → 240 ÷ 6 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 240 x 200 = 48000 yards
Answer: 48000 yards
The scale factor used to draw is 1/60 thus the area in feet² is 108000 feet².
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
Length in drawing = 6 inhces
Width in drawing = 5 inches
Width in real = 300 feet = 3600 inches
Scale factor = 5/3600 = 1/720
Length in real = 6/(1/720) = 4320 inches
4320/10 = 360 feet
Width in real = 5/(1/720) = 3600 inches
3600/12 = 300 feet
Area in real = 360 × 300
⇒ 108000 feet²
Hence "The scale factor used to draw is 1/60 thus the area in feet² is 108000 feet²".
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Given question is incorrect correct question has been attached below ;
The images below show a picture of ricoffy tin container with no dimensions indicated.the container is 2,5 times smaller than what it is in reality. Measure the diameter of the tin in mm and write down the real diameter in mm
The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
What is the measurement of the diameter?Determining the diameter of tin:
Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.
Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.
Here we have
A ricoffy tin container with no dimensions indicated
Let d and h be the diameter and height of the tin
Given that the container is 2/5 times smaller than d
then the diameter of the tin in the picture \(= d - 2/5(d)\)
\(= [5d - 2d]/5 = 3d/5\)
Therefore, The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
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The mean annual salary at the company where Samuel works is $37,000, with standard deviation $4,000. Samuel's salary is $32,500. Based on the mean and standard deviation, is Samuel's salary abnormal compared to other salaries at this company? When choosing your answer, be careful to select the answer with the correct explanation. A. Samuel's salary falls within the standard deviation, so his salary is not abnormal compared to other salaries at this company. B. Samuel's salary falls outside the standard deviation, so his salary is abnormal compared to other salaries at this company. C. Samuel's salary falls within the standard deviation, so his salary is abnormal compared to other salaries at this company. D. Samuel's salary falls outside the standard deviation, so his salary is not abnormal compared to other salaries at this company?
Answer : Samuel salary falls within the standard deviation and his salary is not abnormal
The mean annual salary at the company where samuel works is $37, 000
The standard deviation is given as $4, 000
Samule's annual salary is $32, 500
Using the Z- score formula
\(\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ \text{Where x = sample score} \\ \mu\text{ = mean} \\ \sigma\text{ = standard deviation} \end{gathered}\)\(\begin{gathered} x\text{ = \$32, 500} \\ \mu\text{ = \$37, 000} \\ \sigma=\text{ \$ 4000} \\ z\text{ = }\frac{32,\text{ 500 - 37000}}{4000} \\ z\text{ = }\frac{-4500}{4000} \\ z\text{ = -1.125} \end{gathered}\)Since, the value of Z- score is -1. 125, then, the salary is 1 standard deviation below the mean.
Therefore, Samuel salary falls within the standard deviation and his salary is not abnormal
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They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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The length of one of the sides of a regular hexagon is 7.8cm, find the perimeter of this polygon
Answer:
46.8 cm
Step-by-step explanation:
A hexagon has six sides. If it is a regular hexagon, then it is equilateral, meaning that each side is the same length. If one side is 7.8cm, then all sides will be 7.8cm. You can find the perimeter by adding 7.8 six times, or multiplying 7.8 by six.
7.8 · 6 = 46.8
hope this helps!
Y-2=1/3(x+6) write in standard form
Answer:
2x+3y = -15
Step-by-step explanation:
What do you get when you cross an electric eel and a sponge puzzle time riddle
Answer:
A shock absorber?
Step-by-step explanation:
There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
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Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
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Help plz:)))I’ll mark u Brainliest !!!!
Answer: x=11
Step-by-step explanation: plz mark me brainliest
Answer:
I believe its x = 11 hope for le its right
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..
Answer:
Step-by-step explanation:
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..