Write 9/12 as a sum of unit fraction.
Answers
9/12 = 1/2 + 1/3 + 1/12
Therefore, 9/12 is equal to the sum of the unit fractions 1/2, 1/3, and 1/12.
Related Questions
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
Answers
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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write a Pythagorean triplet whose smallest member is 6
Answers
Answer:
6, 8, 10
Step-by-step explanation:
Where:
a = 6
b = 8
c = 10
Pythagorean theorem: \(a^2 + b^2 = c^2\)
\(6^2 + 8^2 = c^2\)
\(36 + 64 = c^2\)
\(100 = c^2\)
c = \(\sqrt{100}\)
c = 10
In which quadrant would point (10, 15) be located?
Answers
Answer:Quadrant 1
Only in Quadrant 1, the both y and x-axis is positive. So (10, 15) is in quadrant 1.
coaching and sat scores what we really want to know is whether coached students improve more than uncoached students, and whether any advan- tage is large enough to be worth paying for. use the information above to answer these questions: (a) how much more do coached students gain on the aver- age? construct and interpret a 99% confidence interval.
Answers
With 99% confidence that the true difference lies between 0.1316 and 0.2694.
A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.
The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).
The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).
The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.
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2(2x−3)+4<6x+7−11 just need the answer for this !!!! helppp
Answers
Answer:
x>1
Step-by-step explanation:
If U answer right I will mark brainliest and give 30 points
Use the volume formula to find the volume of the prism.
2
o
A. 12 cubic units
B. 25 cubic units
C. 50 cubic units
D. 9 cubic units
Answers
Answer:
B. 25 cubic units because you just add all the sides together
Answer:
25 cubic units
Step-by-step explanation:
Formula would be V = Bh
Basically, just multiply 2.5 x 2.5 x 4
A polynomial is
if its only factors over the integers are 1 and itself.
Answers
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
Liam will spin the pointer one time. What is the probability that the pointer will land on red?
Answers
Answer:
Step-by-step explanation:
What are the other colors?
if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2
similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....
depends on how many colors are there
what type of data would best be displayed in a box plot
Answers
Answer:(2x+7)+(2x+7)
Step-by-step explanation:
what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer
School QUICK CARE
11
1 point
Christian has 48 pencils and 72 erasers that he is splitting into pencil pouches,
• All of the pouches will have an equal number of pencils
• All of the pouches will have an equal number of erasers,
What is the greatest number of pencil pouches that he can make and have no pencils or erasers left over
1
36
2
ОООО
24
3
12
Previous
Answers
Answer:
Step-by-step explanation:
Total pencils = 48
Total erasers = 72
If we put 1 pencil and 1.5 eraser in each pouch then total pouches = 48 pouches
At the start of a soccer game, the referee flips a coin to determine which team gets the ball first. The referee making
the calls for your upcoming game has seen the last 5 coin flips come up tails. The team captain plans to call heads
during the coin flip because he says it is long overdue.
Is your friend's reasoning correct?
O Yes, the coin flip is more likely to come up heads in order for the probability of heads to get back to 0.5.
No, it is highly unlikely to get 5 tails in a row by chance alone, so the friend should continue to go with tails. This
referee must be using an unfair coin.
O No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Yes, after so many tails in a row, the coin is due to show heads.
Answers
Answer: The answer is C on Edge 2020
Step-by-step explanation:
Answer:
(C) No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Is correct
ED2021
solve (2x - 3) (x + 2) = 0
Answers
Answer:
x=3/2
x=-2
Step-by-step explanation:
I GIVEEEE BRAINLILST
Answers
Answer:
reduction
Step-by-step explanation:
the orange is a reduction of the black shape because it is the same shape just smaller
Answer:
it's a reduction because the new shape is smaller than the original shape
Step-by-step explanation:
What value does the 7 represents in the number 94.087?
Answers
0.007, also known as the thousandths place in decimals.
The height of cylinder B is twice the height of cylinder A the total surface area of cylinder A is 180 Calculate the total surface area of cylinder B
Answers
Main Answer: The total surface area of cylinder B is approximately 476.7 square units.
Supporting Question and Answer:
How is the surface area of a cylinder calculated?
The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:
A = 2πrh + 2π\(r^{2}\)
where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.
The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.
Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.
The total surface area of a cylinder is given by the formula:
Area = 2πrh + 2π\(r^{2}\)
For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:
180 = 2πrh + 2π\(r^{2}\)
90 = πrh + π\(r^{2}\)
We can rearrange this equation to solve for r:
r² + rh - 90/π=0
Using the quAdratic formula,we get:
r = (-h ± √((h)² + 4(90/π)))/2
r = -h/2 ± √(h² + 4(90/π))/2
Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.
R = 2r= -h ± √(h² + 4(90/π))
We can use this expression to find the surface area of cylinder B:
Surface area of cylinder B = 2πR² + 2πR(2h)
Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))
We can use the value we found for 2h using the quadratic formula in the expression to get:
Surface area of cylinder B = 476.7 square units (rounded to one decimal place)
Therefore, the total surface area of cylinder B is approximately 476.7 square units.
Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7 square units.
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6 ft
If you'd like,
you can use a
8 ft
SA = 2πr² + 2πrh
Use 3.14 for TT.
Find the surface area of
a cylinder with a height
of 8 feet and base
diameter of 6 feet.
Round to the
nearest hundredth.
SA = [?]ft²
G
Answers
The surface area of a cylinder with a height of 8 feet and base diameter of 6 feet is 207.24ft².
What is the surface area of the cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The surface area of a cylinder is expressed as;
SA = 2πr² + 2πrh
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14).
Given that;
Height h = 8ftDiameter d = 6ftRadius = diameter/2 = 6ft/2 = 3ftSurface area A = ?Plug the given values into the above formula and solve for surface area.
SA = 2πr² + 2πrh
SA = ( 2 × 3.14 × (3ft)² ) + ( 2 × 3.14 × 3ft × 8ft )
SA = ( 2 × 3.14 × 9ft² ) + ( 2 × 3.14 × 24ft² )
SA = ( 56.52 ft² ) + ( 150.72ft² )
SA = 207.24ft²
Therefore, the surface area is 207.24ft².
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I need to create a explicit formula
Answers
Answer:
2
Step-by-step explanation:
A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
Answers
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
Answers
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Graph the solution of this inequality 3/4(x+8)>1/2(2x+10)
Answers
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Order and Operate these please! I will give a lot of points. Please help asap
(x +4) • 9
y + 7 + 8 – 7(x -8)
(4 – 5) + x(6 – 8)
y(4 – 8) – 3y
x + 8y – 16x(1- 3)
82 – x(4 – 8) + √25
53 – 4(y – 7y) - √81
x^2 – 4 – 5y - √36 • √144 + 23(x – 5x)
Answers
Answer:
9x+36y-7x+71-2x-1-7y33x+8y4x+6924y+116x² -92x -5y -76Step-by-step explanation:
a) (x +4)·9 = 9x +36
__
b) y +7 +8 -7(x -8) = y +7 +8 -7x +56 = y +15 -7x +56 = y -7x +71
__
c) (4 -5) +x(6 -8) = -1 +x(-2) = -2x -1
__
d) y(4 -8) -3y = y(-4) -3y = -4y -3y = -7y
__
e) x +8y -16x(1 -3) = x +8y -16x(-2) = x +8y +32x = 33x +8y
__
f) 8² -x(4 -8) +√25 = 64 -x(4 -8) +5 = 64 -x(-4) +5 = 64 +4x +5 = 4x +69
__
g) 5³ -4(y -7y) -√81 = 125 -4(y -7y) -9 = 125 -4(-6y) -9 = 125 +24y -9 = 24y +116
__
h) x² -4 -5y -√36·√144 +23(x -5x) = x² -4 -5y -6·12 +23(x -5x)
= x² -4 -5y -6·12 +23(-4x) = x² -4 -5y -72 -92x = x² -92x -5y -76
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.
-rectangular prism
-triangular prism
-cylinder
-cone
-square pyramid
-triangular pyramid
Answers
Answer:
A, B, and E
Step-by-step explanation:
Answer:
abe
Step-by-step explanation:
yes I am deleteing this question by ediitying adhoi haiudhioh adihsd adasd
Answers
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
Answers
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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During a sale, a store offered a 25% discount on a bed that originally sold for $800. After the sale, the discounted price of the bed was marked up by 25%. What was the price of the bed after the markup? Round to the nearest cent.
Answers
The price of the bed after mark up is $475.00
What is discount?Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.
The first discount given is 25% , therefore the price of the bed before mark up is
25/100 × 800
= 25×8
= 200
the price before mark up = 800-200 = $600
Another 25% is given after the first sale, there the price of the bed after mark up is
25/100 × 600
=$ 125
price after markup = 600-125
= $475.00
therefore the price of the bed after markup is $475.00
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his composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )
Answers
The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
How to evaluate the expression for the volume of the identical pyramidTo calculate for the volume of a rectangular base pyramid, we use the formula:
volume = 1/3 × area of base rectangle × height
volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units
volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.
Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
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Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.
Answers
Answer:
25π
Step-by-step explanation:
The formula for the area of a circle is \(\pi r^{2}\). In this case, \(r\) is 5, to the area will we \(25\pi\).
The amourt of time tatil an acciden. occurs at an industrial facility follows an exposential distrbution with mean 40 days. a) What is the probability that the next accident occurs betw_en 50 and 100 days?b) Wat is the prooability that the time until an accident occur. exceeds the mear. time by more than 2 stai.dard deviations? c) Sunpose it has been at least 30 days with no accidents. What is the probability that it will be at least 80 days until an accident occurs? d) What is the value of the median time until an accident rccura?
Answers
a) Probability that the next accident occurs between 50 and 100 days = 0.2044198
b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations = 0.04978707
c) The probability that it will be at least 80 days until an accident occurs = 0.2865048
d) the value of the median time until an accident occurs = 27.7258
Median time
The median is the mean between the data point of rank. n ÷ 2 = 8 ÷ 2 = 4. and the data point of rank. (n ÷ 2) + 1 = (8 ÷ 2) +1 = 5. Therefore, the median time is (25.2 + 25.6) ÷ 2 = 25.4 secondsa) Let T be the amount of time until an industrial facility accident occurs.
Daily rate lambda = 1/Mean = 1/40
Exp(lambda = 1/40), T
If the distribution is exponential,
P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)
P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.
= P(T < 100) - P(T < 50)
= (1 - exp(-100/40)) - (1 - exp(-50/40))
= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)
= 0.2865048 - 0.082085
= 0.2044198
b) Standard deviation = Mean = 40 in the case of an exponential distribution.
The probability of the next accident occurring exceeds the mean time by two standard deviations.
= P(T > 40 + 2 * 40)
= P(T > 120)
= exp(-120/40)
= exp (-3)
= 0.04978707
c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.
= P(T > 80 | T > 30)
= P(T>80 and T>30) / P(T>30)
= P(T > 80) / P(T > 30)
= p(- 80/40) / exp(- 30/40)
= exp(-50/40) = (-1.25)
= 0.2865048
d) If the distribution is exponential,
P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).
P(T t) = 0.5 for the median value Tm.
1 - exp(-Tm/40) = 0.5
exp(-Tm/40) = 0.5
-Tm/40 = log (0.5)
-Tm/40 = -0.6931472
Tm = 40 * 0.6931472
= 27.72589 days
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What is the surface area of the triangular prism (Look at image)
Answers
Answer:
\(\Large \boxed{\sf 384 \ m^2}\)
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
\((8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384\)
For a prism we take into account the following:
\(\boxed{\bold{Lateral\ area = (Perimeter \ of \ the \ base) (height)}}\)\(\boxed{\bold{Total\ area = Lateral\ area + 2 (base\ area)}}\)Taking into account the above, we first find the lateral area:
In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:
3² + base² = 5²9 + base² = 25
base² = 25 - 9
base² = 16
base = 4
From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:
Equal sides = 5 Uneven side = 8The perimeter of the triangular base will be the sum of the sides, that is:
Perimeter = 5 + 5 + 8
⇒ Perimeter = 18
Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:
Side area = (18) (20)
⇒ Lateral Area = 360 m²
Now we find the area of the triangular base with base = 8 and height = 3:
\(\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}\)
Since we have that the lateral area is 360m² and the area of the triangular base is 12m², we replace in the equation of the total area:
Total area = 360 + 2 (12)
Total area = 360 + 24
Total area = 384 m²
The total area of the prism will measure 384m²
I hope I have helped you, greetings from Venezuela!
Campbell food distribution Pays Bargain Mitchell A $2830 monthly salary plus a 15% commission on merchandise she sell each month assume barbara sales were 81,500 for last month calculate the following amounts amount of commission and gross pay
Answers
Answer:
Commission is $12,225.00 (81,500x15%)
12,225. + 2830.= $15055.00 gross pay
Step-by-step explanation: