Answer:
30.9
Step-by-step explanation:
The third mean of a GP of two numbers 27 and 1/27 is 1. Find the number of means.
Answer:
The mean is \(\sqrt{3}.\)
Step-by-step explanation:
Step-by-step explanation:
how unusual to call this that way.
I think you (and your teacher) mean the third term in a geometric sequence (or geometric progression, hence GP) between 27 and 1/27 is 1.
that means the sequence goes
27, a2, a3, 1, ..., 1/27
and so, "the number of means" is the number of terms between 27 and 1/27.
I happen to know that 27 is 3³. and that fits perfectly.
a2 = a1/3 = 27/3 = 9
a3 = a2/3 = 9/3 = 3
a4 = q = a3/3 = 3/3 = 1
correct. so, the common ratio is 1/3 (every new term of the sequence is created by multiplying the previous term by 1/3).
and then, if we continue, we get
a5 = a4/3 = 1/3
a6 = a5/3 = 1/3 / 3 = 1/9
a7 = a6/3 = 1/9 / 3 = 1/27
so the terms between 27 and 1/27 are a2, a3, a4, a5 and a6. that are 5 terms "in between" or 5 "means" between 27 and 1/27.
A sphere and its dimension are shown in the diagram 15 inches
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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PLEASE HELP (WILL GIVE BRAINLIEST
Answer:
V = 62.8 m\(^{3}\)
Step-by-step explanation:
V = pi × (radius)\(^{2}\) × height
V = \(\pi\) × \(r^{2}\) × h
V = (3.14 × [\(2^{2}\)]) × 5
V = (3.14 × 4) × 5
V = 12.56 × 5
V = 62.8 m\(^{3}\)
The volume of a sphere is 4500cm. What is the surface area of the sphere to the nearest whole number?
The surface area of the sphere, to the nearest whole number, is 1318 cm².
How to determine the surface area of a sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
The surface area of a sphere is expressed as:
SA = 4πr²
Where r is the radius of the sphere and π is the mathematical constant pi.
Given that the volume V is 4500 cm³.
First, we solve for the radius:
Volume = (4/3)πr³
4500 = (4/3)πr³
4500 × 3 = 4πr³
13500 = 4πr³
r³ = 13500/4π
r = ∛( 13500/4π )
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
SA = 4πr²
Substituting the radius we found:
SA = 4 × π × ∛( 13500/4π )²
SA = 1318 cm²
Therefore, the surface area is approximately 1318 cm².
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BD bisects angle ABC. Solve for x and find m angle ABC.
m angle ABD = 6x-8, m angle CBD = 3x + 4
Answer:
The value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Step-by-step explanation:
We know that an angle bisector bisects the angle into two equivalent angles.
When BD bisects angle ABC, it forms two equivalent angles which are:
m∠ABDm∠CBDsuch as
m∠ABD = m∠CBD
as
m ∠ABD = 6x-8
m∠CBD = 3x+4
so the equation becomes
m∠ABD = m∠CBD
6x-8 = 3x+4
6x - 3x = 4 + 8
3x = 12
Divide both sides by 3
x = 4
Thus, the value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 161 poi
7-A school has 62 teachers and 1,364 students. How many students are
there per teacher?
15 students
32 students
22 students
18 students
Answer:
22
Step-by-step explanation:
As we divide 1,364 by 62 and we get 22
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
Find the midpoint of the segment with the given endpoints.
(2,-9) and (7,-3)
Answer:
x midpoint 4.5 y midpoint -6
Step-by-step explanation:
Answer:
(9/2, -6)
Step-by-step explanation:
Midpoint formula: (x1+x2/2, y1+y2/2)
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each.How many of each kind did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears? Branliest if correct.
Answer:
Number of pineapples = 10
Number of pears = 10 + 9 = 19
Number of kiwis = 10 - 2 = 8
Step-by-step explanation:
Money = $ 13.5
Cost of a pear = $ 0.5
Cost of a pineapple = $ 1.5
Cost of a kiwi = $ 0.3
let the number of pineapple = p
Number of pears = p + 9
Number of kiwis = p - 2
Cost is
0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5
0.5 p + 4.5 + 0.15 p + 0.3 p - 0.6 = 13.5
0.95 p = 9.6
p = 10
So, number of pineapples = 10
Number of pears = 10 + 9 = 19
Number of kiwis = 10 - 2 = 8
Answer:
3 pineapples 12 pears 10 kiwis
Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
According to your graphing calculator, what is the approximate solution to the trigonometric inequality cos(0.65x)>.44 over the interval 0
Answer:
the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.
Step-by-step explanation:
The given inequality is:
cos(0.65x) > 0.44
To solve this inequality, we need to isolate the variable x.
First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:
arccos(cos(0.65x)) > arccos(0.44)
Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:
0 ≤ 0.65x < π
Now, let's solve for x by dividing each part of the inequality by 0.65:
0/0.65 ≤ x < π/0.65
Simplifying, we have:
0 ≤ x < π/0.65
Now, let's calculate the approximate value of π/0.65 to determine the interval for x:
π/0.65 ≈ 4.834
i hope i helped!
Maya is comparing the prices of 3 brands of canned vegetables.
Brand A is a 16-ounce can and costs $0.89. Brand B is a 32-ounce
can and costs $1.75. Brand C is sold as three 16-ounce cans and
costs $2.65. Which brand is the cheapest per ounce?
A. Brand A
C. Brand C
B. Brand B
D. You need more information.
Brand C is the cheapest per ounce among Brand A and Brand B. So option B is the correct answer
Brand A is a 16-ounce can and costs $0.89
Brand B is a 32-ounce can and costs $1.75.
Brand C is sold as three 16-ounce cans and costs $2.65.
What is an equation?If two expressions are connected with equal sign is called equation.
16a=0.89
32b=1.75
3(16c)=2.65
a=0.055
b=0.0546
c=0.0552
Therefore brand B is the cheapest per ounce
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Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $45,300. The machine's useful life is estimated at 10 years, or 403,000 units of product, with a $5,000 salvage value During its second year, the machine produces 34,300 units of product. Determine the machine's second-year depreciation and year end book value under the straight-line method. Choose Denominator Annual Depreciation Expense Choose Numerator: Depreciation expense ear 2 Depreciation ear end book value (Year 2)
The machine's second-year depreciation is 37240 and year end book value under the straight-line method is 16308.
Straight-line depreciation can be calculated as follows: Cost minus salvage/Estimated useful life (years)= Depreciation expense
=40300/10
=4030
Year 2 depreciation = 4030
Year end book value (Year 2)=37240
Double-declining balance depreciation can be calculated as follows:
Beginning book value x Double the straight-line rate = Depreciation expense; First year's depreciation = 45300x 20%=9060 and Second year's depreciation = 36240x20%=7248
Thus, The annual year depreciation is 9060+7248=16308.
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Complete question:
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $45,300. The machine's useful life is estimated at 10 years, or 403,000 units of product, with a $5,000 salvage value During its second year, the machine produces 34,300 units of product. Determine the machine's second-year depreciation and year end book value under the straight-line method.
Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
Simplify and show your work. \((6i)(-2i)(-6-4i)\)
Answer:
- 72 - 48i
Step-by-step explanation:
note that i² = - 1
(6i)(- 2i)(- 6 - 4i)
= - 12i²(- 6 - 4i)
= - 12(- 1)(- 6 - 4i)
= 12(- 6 - 4i) ← distribute parenthesis by 12
= - 72 - 48i
The bike you have been saving for is discounted 15%. You have $600 saved to purchase it. The original, non-discounted price of the bike is $650. There is a 5.58% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answer:
16.67 or 17 when rounded to nearest dollar
Step-by-step explanation:
$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale
552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.
$600 - 583.33 = $16.67 money left over
Give the opposite of the following
1. 8
2. - 79
3. 93
4. 65
5. -6
Answer:
1. -8
2. 79
3. -93
4. -65
5. 6
Step-by-step explanation:
I hope you were finding this type of answer.
Question 2(Multiple Choice Worth 5 points)
(06.03 MC)
What are the solutions of the system of equations y = -(x + 2)² + 1 and y = 3x + 7?
O(-2, 1) and (5,-8)
O(-2, 1) and (-5, -8)
O (2, -3) and (-5, -8)
O(-2, -3) and (-5, -8)
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.
The midpoint of segment YZ is (-a, -2b).
Given the coordinates of the rhombus WXYZ:
W(0, 4b)
X(2a, 0)
Y(0, -4b)
Z(-2a, 0)
Find the midpoint of YZ:The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of Y and Z:
Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)
= (-a, -2b)
Therefore, the midpoint of segment YZ is (-a, -2b).
Show that the segments joining the midpoints are perpendicular:To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.
Let's consider the segments joining the midpoints:
Segment joining the midpoints of WX and YZ:
Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)
Midpoint of YZ: (-a, -2b)
Slope of WX = (2b - 4b) / (a - 0) = -2b / a
Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a
The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.
Conclusion:We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.
Additionally, the midpoint of segment YZ is (-a, -2b).
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Calculate the Social Security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for Social
Security and 1.45% for Medicare): (Round your answers to the nearest cent.)
Employee
Rouche
$
Cumulative earnings
before this pay period
Pay amount this
period
122,300 $
Social
Security
Medicare
Answer:
Social Security: $7582.60Medicare: $1773.35Step-by-step explanation:
You want to know the Social Security and Medicare taxes on an annual income of $122,300, given the respective tax rates are 6.2% and 1.45%.
TaxThe income is less than the Social Security maximum of 128,400, so the 6.2% tax applies to the full amount. Each tax amount is found by multiplying the income by the tax rate:
SS: $122,300 × 0.062 = $7582.60 . . . . Social Security tax
Med: $122,300 × 0.0145 = $1773.35 . . .Medicare tax
brainlist for comeing to this question but you have to be smart or you have to get my question 5.I have two question what do you do and what the different from premeter and area and what the different from inch and inch 2
Answer #1:
the difference between the PARIMITER and AREA of a shape is
- PARIMITER is the length of all sides in total
- AREA is the square ore cubic measurement aka VOLUME of a shape
Answer #2:
the difference between 1in and 2in is 1 in
Step-by-step explanation:
#1:
say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions
~ PARIMITER = 10
to figure out the outside edge of this shape, we need to measure all single sides and add them together
(2 + 2) + (3 + 3) = 4 + 6 = 10
^ note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together
~ AREA = 6
to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown
width = 2
height = 3
then we multiply them with each other
2 * 3 = 6
#2
finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here
say we subtract 2in from 1in
2in - 1in = 1in
we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in
1in - 2in = (-1in)
the number is in the negative, meaning that there is 1in LESS in 1in then in 2in
NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example
3in - 3in = 0in
this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same
PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
The coordinate of the point after transformation is: (3, -4)
What is the coordinate after moving of point?The coordinate initially is given as (0, -4).
Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:
(0 - 1, -4)
= (-1, -4)
Moving by 4 units to the right means an addition of 4 units to x coordinate to get:
(-1 + 4, -4)
= (3, -4)
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Consider functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function ___.
The function that has the greatest minimum value is function ___.
Answer:
Its A
Step-by-step explanation:
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
A waiter has seven $5 bills and eighteen 1$ from tips.In all how much does he have in tips
Answer:
53$
Step-by-step explanation:
7X5=35
35+18=53
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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Please help me ! So lost rn
Answer:
2.7 meters
Step-by-step explanation:
So, we know that 1 foot is about 0.305 meters.
To find how many meters are in 9 feet, multiply 0.305 by 9.
Therefore:
\(9(1\text{ foot})=9(0.305\text{ meters})\)
Multiply:
\(9\text{ feet}=2.745\text{ meters}\)
To the nearest, tenth this would be 2.7 meters.
And we're done!