What is the volume of each of the five colors in a 4-inch cubed notepad? Assume each color has the
same number of sheets.
A=12. 8
B=. 512
C=3. 2
D=64
The volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.
We have a 4-inch cubed notepad, meaning its dimensions are 4 inches in length, width, and height.
Let's calculate the volume of the notepad using the formula: Volume = length x width x height.
The volume of the notepad is calculated as: 4 x 4 x 4 = 64 cubic inches.
Now, we have 5 different colors, and each color has the same number of sheets. Let's assume there are 'n' sheets of each color.
The volume of each color can be determined by dividing the volume of the notepad by the total number of colors. So, the volume of each color is calculated as: 64/5 = 12.8 cubic inches.
Therefore, the volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.
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Classify ΔABC by its sides. Then determine whether it is a right angle triangle. A(2, 3), B(6, 3), C(2, 7)
Answer:
∴Given Δ ABC is not a right-angle triangle
a= AB = √45 = 3√5
b = BC = 12
c = AC = √45 = 3√5
Step-by-step explanation:
Given vertices are A(3,3) and B(6,9)
AB =
Given vertices are B(6,9) and C( 6,-3)
=
BC = 12
Given vertices are A(3,3) and C( 6,-3)
AC² = AB²+BC²
45 = 45+144
45 ≠ 189
∴Given Δ ABC is not a right angle triangle
Step-by-step explanation:
Factor -3x^2-23x+8. Please Help
Answer:
-(x+8)(3x-1)
Step-by-step explanation:
Take out the - sign, then factor as if it is positive.
D o I p l a y M i n e c r a f t o r, F o r t n i t e?
Answer:
mine craft
Step-by-step explanation:
Find the equation of the line that passes through (1,3) and is perpendicular to
y
=
2
x
−
1
.
Leave your answer in the form
y
=
m
x
+
c
I'm confused...did you mean y=mx+b?
Thompson down the street from his home to Cameron’s house. Along the way he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2), what are the possible ratios to represent his trip?
The possible ratio to represent Thompson's trip is 3:2.
Given that, Thompson down the street from his home to Cameron’s house. Along the way, he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2).
We need to find what are the possible ratios to represent his trip.
What is the distance formula to find the distance between two coordinates?The distance formula to find the distance between two coordinates is Distance=\(\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }\).
Now, the distance between (0,6) and (6,-6).
Distance=√(6-0)²+(-6-6)²
=√36+144
=√180=6√5 units
The distance between (0,6) and (4,-2).
Distance=√(4-0)²+(-2-6)²
=√16+64
=√80=4√5 units
Then, ratio=6√5/4√5=3/2
Therefore, the possible ratio to represent Thompson's trip is 3:2.
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What is the total surface area of this prism?
Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²
You operate a theme park and want to use the temperature outside and the day of the week to predict how many people will be in attendance each day. While testing this model, you also want to see if the relationship between temperature and theme park visitors will be curvilinear. You decide not to test for interactions. How many betas will be in your model aside from the y-intercept?.
Three betas will be in our model aside from the y-intercept.
In the given question, we have to find how many betas will be in your model aside from the y-intercept.
You operate a theme park and want to use the temperature outside and the day of the week to predict how many people will be in attendance each day.
While testing this model, you also want to see if the relationship between temperature and theme park visitors will be curvilinear.
You decide not to test for interactions.
From the given question,
We have y intercept that means our model well be
\(y=\beta_{0}+x_{1}\beta _{2}+x_{2}\beta _{2}+x_{1}x_{2}\beta _{12}\)
where \(\beta _{1}\) is for temperature and \(\beta _{2}\) is day of the week.
3 betas are there aside intercept of y.
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find the limit, if it exists. (if an answer does not exist, enter dne.) lim (x, y)→(0, 0) y4 x4 8y4
The limit does not exist for lim (x, y)→(0, 0) y4 x4 8y4
To find the limit, we need to approach the point (0,0) along different paths and see if the limit is the same for all paths.
One way to approach the point (0,0) is to take the limit as x approaches 0 along the y-axis, meaning y is held constant at 0. In this case, the limit becomes:
lim (x, y)→(0, 0) y^4/x^4 = lim x→0 0 = 0
Another way to approach the point (0,0) is to take the limit as y approaches 0 along the x-axis, meaning x is held constant at 0. In this case, the limit becomes:
lim (x, y)→(0, 0) y^4/x^4 = lim y→0 dne
Since the limit is different depending on the path, the limit does not exist.
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what is 2 * 2 root 3
Answer:
I think it's 6.9282032302755
Use the distributive property to write the following expression as an equivalent algebraic expression.
−2(−4 + c)
(A) −2(−4c)
(B) 8 + c8 + c
(C) −6 − 2c−6 − 2c
(D) 8 − 2c
For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the game that regularly costs $32. 50?
Answer: $23.40
Step-by-step explanation:
We will find what percent of the normal cost the items are currently.
100% - 28% = 72%
Now, we will find 72% of $32.50
72% -> 0.72
$32. 0 * 0.72 = $23.40
The discounted cost is $23.40.
18÷(−2/3)×4÷(−7)×(−3)÷(1/4)
Answer:
-1296/7
Step-by-step explanation:
Alternate form= -185 1/7
Answer:
18/-8/3/21/4=-9/112
Step-by-step explanation:
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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factorise completely 5p + pt
Answer:
p(5 + t)
Step-by-step explanation:
5p + pt ← factor p out of each term
= p(5 + t)
The complete factor of the given expression (5p + pt) is defined by taking common. Then the complete factor is p(5 + t).
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given below.
→ 5p + pt
Then p is in both the terms then take p common, then we have
→ p(5 + t)
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please help 10pts each
dang im rlly givin away too much points lol
solve for x
3x=5x-4
Answer:
x = 2
Step-by-step explanation:
Given :
3x = 5x - 4Add 4 on each side
3x + 4 = 5x - 4 + 43x + 4 = 5xSubtract 3x from each side
3x - 3x + 4 = 5x - 3x4 = 2xDivide 2 from each side
4/2 = 2x/2x = 2I need help solve this problem please
Answer:
X=5
15x=75
Step-by-step explanation:
3(4x - 12) + 8 = 12x - 6
Answer:
No solution
Step-by-step explanation:
3(4x-12)+8=12x-6
12x-36+8=12x-6
12x-28=12x-6
Jayden drives 22.5 miles in 30 minutes. If he drove one hour in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Jayden drive in total?
Answer:
Step-by-step explanation:
2
If area of the triangle formed by the points A(3, 0), B(0, 3) & P(a, b) is Click to zoom sq. units, then identify the correct statement(s)
When the area of the triangle formed by the points A(3,0), B(0, 3) & P(a, b) is 3/2 sq. units, the correct statement will be A. Locus of P will be a union of two parallel lines
How to calculate the valueArea = 1/2 * |x1*(y2-y3) + x2*(y3-y1) + x3*(y1-y2)|
where (x1,y1), (x2,y2), and (x3,y3) are the coordinates of the three vertices of the triangle, and |.| denotes the absolute value.
Substituting the given values, we get:
3/2 = 1/2 * |3b - 3a - 9|
3 = |3b - 3a - 9|
Now, 3b - 3a - 9 could be either positive or negative.
In this case, we can simplify the above equation as:
3b - 3a - 9 = 3b - 3(a + 3) > 0
which implies:
a < b - 3
or
b > a + 3
This represents the equation of two lines that are parallel to each other and pass through the points (3,-3) and (-3,3), respectively. Therefore, statement A is correct.
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If area of the triangle formed by the points A(3,0), B(0, 3) & P(a, b) is 3/2 sq. units, then identify the correct statement(s)
A. Locus of P will be a union of two parallel lines
B. Locus of P will be a union of two perpendicular lines
C. Locus of P is given by x^2 + y^2 + 2xy – 6(x + y) + 8 = 0
D. Locus of P is given by x^2 - y^2 + 2y - 6x + 8 = 0
In a simple random sample of 300 elderly men, 65% were married, while in an independent simple random sample of 400 elderly women, 48% were married. Determine a 99% confidence interval estimate for the difference between the proportions of all elderly men and women who are married. Show all 5 steps.
The 99% confidence interval estimate for the difference between the proportions of all elderly men and women who are married is given as follows:
(0.0742, 0.2658).
How to obtain the confidence interval?The difference between the proportions in this problem is given as follows:
0.65 - 0.48 = 0.17.
The standard error for each sample is given as follows:
\(s_M = \sqrt{\frac{0.65(0.35)}{300}} = 0.0275\)\(s_W = \sqrt{\frac{0.48(0.52)}{300}} = 0.025\)Hence the standard error for the distribution of differences is given as follows:
\(s = \sqrt{0.0275^2 + 0.025^2}\)
s = 0.0372.
The critical value for a 99% confidence interval is given as follows:
z = 2.575.
The lower bound for the interval is given as follows:
0.17 - 2.575 x 0.0372 = 0.0742.
The upper bound for the interval is given as follows:
0.17 + 2.575 x 0.0372 = 0.2658.
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You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
\(\frac{1}{6}\)
Step-by-step explanation:
p(H and <3)= \(\frac{1}{2}\)×\(\frac{2}{6}\)
= \(\frac{1}{6}\)
what equations will give me this
Answer:
2\(n\) = \(\alpha n\) and \(n + n\) = \(\alpha n\)
Step-by-step explanation:
Which pairs of quadrilaterals can be shown to be congruent
using rigid motions?
Select Congruent or Not Congruent for each pair of
quadrilaterals.
quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Congruent quadrilateral related parts are congruent.
The true statements are:
Statements 2, 4, and 6 are Not Congruent
Statements 1, 3, and 5 are Congruent
From the given figure:
Quadrilaterals 1, 2 and 4 are congruent
Quadrilateral 3 is not congruent to any of the other quadrilaterals.
The true statements are:
Quadrilateral 1 and quadrilateral 2 Congruent
Quadrilateral 1 and quadrilateral 3 Not Congruent
Quadrilateral 1 and quadrilateral 4 Congruent
Quadrilateral 2 and quadrilateral 3 Not Congruent
Quadrilateral 2 and quadrilateral 4 Congruent
Quadrilateral 3 and quadrilateral 4 Not Congruent
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A skating rink charges a group rate of $10 to reserve a booth, plus a fee to rent each pair of skates. A family rents 6 pairs of skates and pays a total $76.
Standing on the top of level of a stadium 112 feet above the ground, Lincoln throws a football. The ball’s flight path can be modeled according to the equation h = -16t2 + 96t + 112, where h is the height of the ball in feet, and t is the time in seconds. How long will it take for Lincoln’s ball to hit the ground?
According to the given equation h = -\(16t^2 + 96t + 112\), where h is the height of the ball and t is the time in seconds, two possible solutions: t = (-96 + 128) / (-32) = 1 second, and t = (-96 - 128) / (-32) = 7 seconds.
To find the time it takes for the ball to hit the ground, we need to find the value of t when the height h is equal to zero. Setting h = 0 in the equation \(-16t^2 + 96t + 112 = 0\), we can solve for t using the quadratic formula. The quadratic formula states that for an equation of the form \(ax^2 + bx + c = 0\), the solutions for x are given by: x = (-b ± √(\(b^2 - 4ac)\)) / (2a).
Applying the quadratic formula to our equation -16t^2 + 96t + 112 = 0, we have a = -16, b = 96, and c = 112. Plugging these values into the formula, we get t = (-96 ± √\((96^2 - 4(-16)(112))\)) / (2(-16)). Simplifying further, we have t = (-96 ± √(9216 + 7168)) / (-32), t = (-96 ± √(16384)) / (-32), t = (-96 ± 128) / (-32).
Simplifying the expression, we get two possible solutions: t = (-96 + 128) / (-32) = 1 second, and t = (-96 - 128) / (-32) = 7 seconds. However, since time cannot be negative in this context, we discard the negative solution. Therefore, it will take Lincoln's ball approximately 1 second to hit the ground.
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HELP ASAP!
Find the surface area of the figure. Round to the nearest hundredth if necessary ^
Answer:
1187.52 yd^2
Step-by-step explanation:
SA=2πrh+2πr^2
R=9
H=12
So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2
X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula.
Answer: 74.61 ft^3
Step-by-step explanation:
5. Find the
Sizes of the
angles marked a to g in that order
with
reasons
D
d
A
40
t
a
с
b
8
6.
D
Pr
The sizes of the angles marked are:
a = 90 degrees; b = 45°; c = 100°; d = 80°
How to Find the Sizes of the Angles?To find the measure of a, note that the sum of the angles on a straight line is equal to 180 degrees, therefore, since a right angle is 90 degrees, we have:
a + 90 = 180
a = 180 - 90
a = 90 degrees.
a + b + 45 = 180° [angles on a straight line = 180 degrees]
Substitute:
90 + b + 45 = 180
b = 180 - 90 - 45
b = 45°
d = 180 - 100 [supplementary angles]
d = 80°
c = 180 - d [linear pair]
c = 180 - 80
c = 100°
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Find the surface area 12 cm
2
16-cm
3 cm
(Will mark branliest)