Answer:
81m^6 - 323 m^5 + 432m^4 - 192m^3
Step-by-step explanation:
Comment
If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.
The general formula for expanding a binomial raised to the third power is
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Solution
To modify the general formula to suit this problem, let
a = 3m
b = - 4
When that is done, the general equation becomes
(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3
(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64
Multiply everything in the 4-nomial by 3m^3
(27m^3 - 108 m^2 + 144m - 64)3m^3
81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.
This is my final please help
Thw measurements based on the arrow on the rulers will be:
A= 1.3cm
B = 2.1 cm
C = 3.4cm
D = 4.4cm
E = 5.5cm
F = 7cm
G = 8.2cm
H = 10.3cm
I = 11cm
J = 11.7cm
K = 12.7cm
L = 14.7cm
How to depict the measurement?It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.
A = 1.3cm × 10 = 13mm
B = 2.1cm = 21mm
C = 3.4 × 10 = 34m
Using same method, the value of the remaining will be:
D = 44mm
E = 55mm
F = 70mm
G = 82mm
H = 103mm
I = 110mm
J = 117mm
K = 127mm
L = 147mm
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Missing angles/math please help guys
Answer:
Step-by-step explanation:
1. A bus traveled for 4 hours and 30 minutes to travel 183 miles. What was it's average speed?
A. 42.56 mph
B. 40.67 mph
C. 32.09 mph
D. 30.67 mph
Answer:
B or 40.67mph
Step-by-step explanation:
To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .
If 15 members vote to choose 4 group leaders, what is the probability that 4 candidates will be chosen for 4 positions
Answer:
[tex]\frac{4}{60}[/tex] = [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
B, C and D are points on the circumference of a circle, centre O.
AB and AD are tangents to the circle.
Angle DAB = 50 degrees
Work out the size of angle BCD.
Construct OD and BD. Then, in quadrilateral ABOD, angles ODA and OBA are right angles and thus angle DOB is 130 degrees (since angles in a quadrilateral add to 360 degrees).
So, this means arc DB also measures 130 degrees. Hence, by the inscribed angle theorem, angle BCD is 65 degrees.
Which points would you find on the graph for |x| +1 < 3?
-1
-3
0
1
The points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
How to determine the points?The inequality is given as:
|x| + 1 < 3
Subtract 1 from both sides
|x| < 2
This means that the absolute value of x is less than 2
From the list of options, the true values are -1, 0 and 1.
Because their absolute values are less than 2
Hence, the points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
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a cylinder tin,7cm high,is closed at one end.if its total surface area is 462cmsquare,calculate its radius
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The radius of the cylindrical tin is 7 cm.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The height of the cylindrical tin can is 7 cm, while the total surface area is 462 cm². Therefore, the total surface area of the tin will be,
The total surface area = area of base + Lateral surface area
462 cm² = πR² + 2πRH
462 = π(R² + 2R7)
147 = R² + 14R
R² + 14R - 147 = 0
R = 7, -21
Since the radius can not be negative.
Hence, the radius of the cylindrical tin is 7 cm.
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Need help with this question (pic included)
Answer:
answer= 3
hope this helps if not I'll try to do it again
A small organization is responsible for distributing two craft products made in a small community, these products are jam and bread. The marginal utility function for the jam is f(x) = 55–4x, and the marginal utility for the package of bread is given by g(x) = 37–x.
Find:
a) The total utility function of the jam.
b) The total utility function of bread.
c) If the consumer wants to buy 2 jars of jam and 3 packages of bread, which of the items will produce more utility.
3 packages of bread would produce more utility than 2 jars of jam
The total utility function of the jamThe marginal utility function of jam is given as:
f(x) = 55 - 4x
Integrate the above function to determine the total utility function
f'(x) = 55x - 2x^2
Hence, the total utility function of the jam is f'(x) = 55x - 2x^2
The total utility function of breadThe marginal utility function of bread is given as:
g(x) = 37 - x
Integrate the above function to determine the total utility function
g'(x) = 37x - 0.5x^2
Hence, the total utility function of the bread is g'(x) = 37x - 0.5x^2
The items that produce more utilityWe have:
Jam = 2 jars
Bread = 3 packages
Substitute 2 for x in f'(x) = 55x - 2x^2
f'(2) = 55 * 2 - 2 * 2^2
f'(2) = 102
Substitute 3 for x in g'(x) = 37x - 0.5x^2
g'(3) = 37 * 3 - 0.5 * 3^2
g'(3) = 106.5
106.2 is greater than 102
Hence, 3 packages of bread would produce more utility
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Abigail works as a salesperson at an electronics store and sells phone: accessories. Abigail earns a $12 commission for every phone she sells commission for every accessory she sells. On a given day, Abigail mad $258 in commission and sold 6 more accessories than phones. Write a equations that could be used to determine the number of phones sold a number of accessories sold Define the variables that you use to write thigail works as a salesperson at an electronics store and sells phones and phone cessories. Abigail earns a $12 commission for every phone she sells and a $3 mmission for every accessory she sells. On a given day, Abigail made a total of 258 in commission and sold 6 more accessories than phones. Write a system of quations that could be used to determine the number of phones sold and the umber of accessories sol Define the variables that you use to write the system.
The system of equations are:
$12p + $3a = $258
a - p = 6
Where:
a = phone accessories p = phoneWhat are the system of equations?Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.
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A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
The value of x if both lines intersect is 2/3
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4
The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2
If the lines intersect, then h(x) = g(x)
Substituting the functions to get the value of "x"
-3x + 4 = 2
Subtract 4 from both sides
-3x + 4 - 4 = 2 - 4
-3x = - 2
Divide both sides by - 3
x = 2 / 3
Hence the value of x if both lines intersect is 2/3
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Answer:
2/3
Step-by-step explanation:
edge23
There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.
The cost of the path around the swimming pool with length 15m and width 12m is $1,190
Area of a rectangleLength = 15mWidth = 12mPathway with 2m wide:
Length = 15m + 2m = 17mWidth = 12m + 2m = 14mArea of the path = length × width
= 17m × 14m
= 238 square meters
Cost of the path = $5 per square meterTotal cost of the path = 238 square meters × $5
= $1,190
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(X-5)\(3x^2-14x-5) solve by polynomial long division
Answer: 3x+1
Step-by-step explanation: See attachment
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form
Answer:
y = 3/4x + 2
Step-by-step explanation:
let me know if you want an explanation :))
If salt (5.99 × 10–6 mol) is dissolved in 1.50 × 10–2 l of water, which expression can be used to find the molarity of the resulting solution? 2.50 × 10-8 m 2.50 × 103 m 3.99 × 10–4 m 3.99 × 104 m
The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M
Molarity of a solutionFrom the question, we are to determine the molarity of the resulting solution
From the given information,
Number of moles = 5.99 × 10⁻⁶ mol
Volume = 1.50 × 10⁻² L
Using the formula,
Molarity = Number moles / Volume
∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
Molarity = 3.99 × 10⁻⁴ M
Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M
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Answer:
The answer is 3.99 × 10–4 M
Step-by-step explanation:
I just did the assignment on Edge :)
solve X-2=7 answer the question pls pls
Answer:
x = 9
Step-by-step explanation:
x-2 = 7
you solve by adding 2 to both sides to maintain equality. and you add by 2 to cancel out the -2 to isolate the x.
x = 9
hi! The work I have is solving linear equations with fractions, i only have practice exercises so they should probably be a bit simple, shown work would be appreciated <3
Just 4 questions
1) y / 3 + 6 = -3 / 2
2) -2 / 3 r - 3 = 3
3) 2 / 3 - 2x = x
4) 7x / 2 + -5 / 2 = 9/2
I’ll add a photo of the problems in a simple format
The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
How to solve the variables?(1) y/3 + 6 = -3/2
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
(2) -2r/3 - 3 = 3
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
(3) 2/3 - 2x = x
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
(4) 7x/2 + -5/2 = 9/2
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
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If you receive a 25% DISCOUNT off an item costing $22.00, how much money do you save?
Answer:
The amount of money you saved by receiving a discount of 25% is $5.5
Step-by-step explanation:
Discount is the reduction in the price of goods or services offered by shopkeepers at the marked price. Selling price is the actual price at which an article is sold after any reduction or discounts in the cost price.
discount is always calculated on the cost price of the article
formula to calculate the discount and discount %
Discount = List Price - Selling Price
Discount (%) = (Discount/cost price) × 100
here, in the question discount % is given = 25%
cost price of the item = $22
therefore using the above mentioned discount percentage formula:
25 = (Discount/22)×100
25/100 = Discount/ 22
0.25 × 22 = Discount
$5.5 = Discount
thus ,
the amount of many you saved by receiving a discount of 25% is $5.5
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pls help i dont understand .Thankkk uuu!!!!
What’s the first step
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): None
y-intercept(s): (0,5)
Step-by-step explanation:
A circle is defined by the equation given below.
The centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
The question is incomplete.
The complete question is:
A circle is defined by the equation given below.
x² + y² − x − 2y − 11/4 = 0
What are the coordinates for the centre of the circle and the length of the radius?
We know the standard form of a circle:
(x - h)² + (y - k)² = r²
Here (h, k) is the centre of the circle and r is the radius of the circle
[tex]\rm x^2 - x + \dfrac{1}{4} + y^2 - 2y + 1= \dfrac{11}{4} +\dfrac{1}{4} + 1\\\\[/tex]
[tex]\rm (x - \dfrac{1}{2})^2+(y-1)^2 = 2^2[/tex]
Thus, the centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0
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what is the moop3fngonoi9w
an inequality that represents each verbal expression.
v is greater than or equal to 5.
Answer:
v ≥ 5
Step-by-step explanation:
v ≥ 5
Which graph represents a function? A. B. C. D. E.
Answer:
Graph B
Step-by-step explanation:
In order for a graph to represent a function, it needs to pass the vertical line test. In this case, graph B is the only one that passes the vertical line test.
Hope this helped :)
What is the area of this triangle?
1375 ft²
1500 ft²
3300 ft²
4500 ft²
Answer:
Area of a triangle = 1/2 * base * height
here ,
base = 120 ft
height = 25 ft
Area = 1/2* 120*25
= 60 * 25
= 1500 ft²
Answer 2
Answer:
1/2 * base * height
so 1/2 * 25 * 120
= 1500
The scores of a high school entrance exam are approximately normally distributed with a given mean mu = 82.4 and standard deviation sigma = 3.3. what percentage of the scores are between 75.8 and 89? 68% 95% 99.7% 100%
The percentage of the scores that are between 75.8 and 89 is; 95%
How to find the percentage from z-score?We are given;
Population mean; μ
Standard deviation; σ = 3.3
Thus;
z-score for a mean score of 75.8 is;
z = (75.8 - 82.4)/3.3
z = -2
z-score for a mean score of 89 is;
z = (89 - 82.4)/3.3
z = 2
From online p-value from z-score calculator, the p-value between both z-scores is;
p-value = 0.9545 = 95.45%
Approximating to the nearest percent = 95%
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Answer:
95
Step-by-step explanation:
it is
The table shows some information about the lifetimes,
t
, in hours, of some lightbulbs.
Lifetime Frequency
25 <
t
≤ 50 70
50 <
t
≤ 100 76
100 <
t
≤ 150 29
150 <
t
≤ 200 91
200 <
t
≤ 250 0
250 <
t
≤ 300 15
300 <
t
≤ 350 23
Estimate the mean lifetime of a bulb.
Give your answer rounded to 2 DP.
Answer:
25 < t < 350
Step-by-step explanation:
The mean lifetime of a bulb ranges from 25 to 350 hrs but the question is unclear.
What is y + 1 = -2x - 3 in standard form
[tex]y+1=-2x-3\\y=-2x-4\\y+2x=4[/tex]
[20 Points]
Add the expressions 4- 2/3b+ 1/4a and 1/2a + 1/6b -7 . What is the simplified sum?
A: -1/6a + 5/12b - 3
B: 3/4a + 1/2b - 3
C: 3/4a + 5/6b - 3
D: 5/12a - 1/6b - 3
Answer:
B: 3/4a + 1/2b - 3
Step-by-step explanation:
Can someone give me the answer to this and explain it please for 100 points!
Answer:
10
Step-by-step explanation:
Evaluate for x=4
[tex]\frac{3(4+4)(4+1)}{(4+2)(4-2)}[/tex]
[tex]=\frac{120}{12}[/tex]
[tex]=10[/tex]
I Hope This Helps :)
Can you Mark Me As Brainliest
Answer:
c
Step-by-step explanation:
3*8*5/（6*2）=10
