Answer:
B. 9/41
Step-by-step explanation:
What are three main skills you use for paper folding constructions?
Three main skills needed for paper folding construction include :
Precision Visualization Patience What skills are needed for paper folding construction ?The ability to fold the paper accurately along the crease lines is crucial to creating a well-made paper folding construction so this is where precision comes in.
Paper folding constructions often require the ability to visualize the three-dimensional object that you are creating from a two-dimensional sheet of paper. Paper folding constructions can be challenging and require a lot of time and effort to complete.
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8. Jake wants to buy the foam gymnastic block shown. If the
foam used to make the gymnastic block costs $24.99 per
cubic foot, what is the cost of this block, to the nearest
dollar?
After answering the provided question, we can conclude that Therefore, cuboid the cost of the gymnastic block is $225.
what is cuboid?A cuboid is a solid or three-dimensional shape in geometry. A cuboid is a convex polyhedron with 8 coordinates, 12 sides, but rather 6 rectangular faces. A cuboid is another name for it. A box is a cuboid because it has six square faces. Objects unearthed in boxes include bricks and books. The following are the primary distinctions between cubic and cubic: In contrast to a cube's rectangular faces, the faces of a capsule are perfectly straight and equal in size. But even though the structures of both the cube and cuboid are similar, they differ significantly in terms of side length, horizontal, and area.
the volume of the block is:
Volume = length x width x height
Volume = 2 ft x 3 ft x 1.5 ft
Volume = 9 cubic feet
Now, to find the cost of the block, we can multiply its volume by the cost of foam per cubic foot:
Cost of block = Volume x Cost per cubic foot
Cost of block = 9 cubic feet x $24.99 per cubic foot
Cost of block = $224.91
Therefore, the cost of the gymnastic block is $225.
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Calculate Ocean Freight charges in Canadian dollar
We have a shipment of two different cargos:
2 skids of Apple, 100 cm x 100 cm x 150 cm, 400 kg each
3 boxes of Orange, 35" x 25" x 30", 100 kg each
Ocean freight rate to Mumbai: $250 USD / m3
1 USDD= 1.25 CND
1 m3=1000 kg
The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.
To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:
Step 1: Calculate the volume and weight of each cargo item:
For the skids of Apple:
Volume = 100 cm x 100 cm x 150 cm
= 1,500,000 cm³
= 1.5 m³
Weight = 400 kg each x 2
= 800 kg
For the boxes of Orange:
Volume = 35" x 25" x 30"
= 26,250 cubic inches
= 0.4292 m³
Weight = 100 kg each x 3
= 300 kg
Step 2: Calculate the total volume and weight of the shipment:
Total Volume = Volume of Apples + Volume of Oranges
= 1.5 m³ + 0.4292 m³
= 1.9292 m³
Total Weight = Weight of Apples + Weight of Oranges
= 800 kg + 300 kg
= 1,100 kg
Step 3: Convert the ocean freight rate to Canadian dollars:
Ocean freight rate to Mumbai = $250 USD / m³
Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)
Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD
= 312.5 CAD/m³
Step 4: Calculate the freight charges for the shipment:
Freight charges = Total Volume x Freight rate in CAD
Freight charges = 1.9292 m³ x 312.5 CAD/m³
= 603.25 CAD
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Factor Trinomials (a=1)
factor
x^2-10x+16
Answer:
(x-8)(x-2)
Step-by-step explanation:
factors of 16:
1 x 16
2 x 8
4 x 4
i'll select 2 and 8 as values because they can add up to 10
(x-8)(x-2)
i made them both negative so the middle term would be -10 but, when multiplied, would equal positive 16
if the mean of the nails is 8.9 and the standard deviation is 5.56 what is the probability that a bag of 225 nails would be more than 2100?
The probability of getting a z-score greater than 0.15 is approximately 0.5693.
The probability of getting more than 2100 nails in a bag is approximately 0.5693.
The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.
Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.
To answer the question, we need more information on the distribution of the number of nails in a bag.
Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.
With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:
z = (2100 - 2009) / 59.11 = 0.15
Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.
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Two-Fifths of a number is 48. What is 3/4 of the SAME number?
Need help urgently
Answer:
[see below]
Step-by-step explanation:
"Two-Fifths of a number is 48."
(2/5)n = 48
((2/5n)(5/2) = 48 *(5/2)
n = 120
------------------------------------
120 * (3/4) = 90
Hope this helps you.
what is(12^2)^7*12 as single exponent?
Answer:
12^15
Step-by-step explanation:
(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.
A 50-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 pounds/gallon is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt (in pounds) in the barrel at time t (in minutes) is given by Q(t) = 15(1 - e^-kt) where k > 0. (a) Find k if there are 5.5 pounds of salt in the barrel alter 10 minutes. Round your answer to 4 decimal places.(b) What happens to the amount of salt in the barrel as t infinity?
a) To find the value of k, we use the given information that there are 5.5 pounds of salt in the barrel after 10 minutes.
By substituting these values into the equation Q(t) = 15(1 - e^(-kt)), we can solve for k. The rounded value of k is provided as the answer.
b) As t approaches infinity, the amount of salt in the barrel will reach a maximum value and stabilize. This is because the exponential function e^(-kt) approaches zero as t increases without bound. Therefore, the amount of salt in the barrel will approach a constant value over time.
a) We are given the equation Q(t) = 15(1 - e^(-kt)) to represent the amount of salt in the barrel at time t. By substituting t = 10 and Q(t) = 5.5 into the equation, we get 5.5 = 15(1 - e^(-10k)). Solving this equation for k will give us the desired value. The calculation for k will result in a decimal value, which should be rounded to four decimal places.
b) As t approaches infinity, the term e^(-kt) approaches zero. This means that the exponential function becomes negligible compared to the constant term 15. Therefore, the equation Q(t) ≈ 15 holds as t approaches infinity, indicating that the amount of salt in the barrel will stabilize at 15 pounds. In other words, the concentration of salt in the barrel will reach a constant value, and no further change will occur.
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What is the value of x?
(2x - 5)°
n
l
m 45°
Answer: x = 70
Step-by-step explanation: the sum of the angle 2x-5 and 45 deg should equal 180 deg, so 2x-5 should be equal to 135 because 180 - 45 = 135
So 2x -5 = 135. Add 5 to both sides to cancel it out. 2x = 140. divide both sides by 2 to cancel 2 on x. Answer is X=70
I think this is how you do it lol but I don't know for sure.
Can somebody help me please and thank you
We know that,
\({ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }\)
Solution :
\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }\)
We can also write it as,
\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }\)
Now, using the formula, we'll solve the expression.
\({ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }\)
\({ \longrightarrow \sf \qquad \: (2x + 3)^{2} }\)
Since,
Area = (side)²Therefore,
The Length of one side is (2x + 3)ind a parametric representation for the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.
The parametric representation for torus is x = bcos ∅ + a cos acos ∅
y = b sin ∅ + a cos a sin ∅
z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π
Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter
Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations
According to the question,
The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.
z = a sin a
y = |PQ| and x = |OP|
but , |OQ| = |OR| + |RQ| = b + a cos a
sin ∅ = |PQ| / |OQ|
So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅
Similarly ,
cos ∅ = |OP| / |OQ|
so that x = (b + a cos a ) cos ∅
Hence , a parametric representation for a torus is
x = bcos ∅ + a cos acos ∅
y = b sin ∅ + a cos a sin ∅
z = a sin a
where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π
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witch expressions are equivalent to k/2?
2 answers
k - 2
2/k
1/2k
k divided by 2
k+k
Answer:
C and D
Step-by-step explanation:
\( \frac{k}{2} = \frac{1}{2} k = k \div 2\)
Answer:
c and d
Step-by-step explanation:
yes thats the answer
Provide the following counter-examples: (a) There exist sets A, B in R such that (AUB) # Aº U Bº. (b) There exist sets A, B in R. such that AnB ‡ Ãn B. (c) There exist sets A, B in R. such that (AUB) #0AU0B and (An B) # AU OB.
(a) There exist sets A, B in R such that the union of A and B is not equal to the union of their closures.
(b) There exist sets A, B in R such that the intersection of A and B is not equal to the closure of their intersection.
(c) There exist sets A, B in R such that the union of A and B is equal to the closure of their union, and the intersection of A and B is not equal to the closure of their intersection.
(a) Let A = (0, 1) and B = (1, 2). The closure of A is [0, 1], and the closure of B is [1, 2]. The union of A and B is (0, 2), which is not equal to [0, 2] = Aº U Bº.
(b) Let A = (0, 1) and B = [1, 2]. The intersection of A and B is the empty set, denoted as ∅. The closure of ∅ is also the empty set, denoted as ∅. However, the closure of A is [0, 1], and the closure of B is [1, 2]. Therefore, Ãn B = ∅, which is not equal to ∅ = (A ∩ B)º.
(c) Let A = (0, 1) and B = [1, 2]. The closure of A is [0, 1], and the closure of B is [1, 2]. The union of A and B is (0, 2), which is equal to [0, 2] = Aº U Bº. The intersection of A and B is the singleton set {1}, and the closure of {1} is {1}, denoted as {1}º. However, {1} is not equal to [0, 2], which means (A ∩ B) = {1} is not equal to (A ∩ B)º.
These counterexamples demonstrate the existence of sets in the real numbers that violate the given statements.
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PLEASE HELP MEEE
Find the value of a in the parallelogram
A=18
A=9
A=14.5
A=16
Answer:
(6a-4)°=(2a+68)°
6a-2a=68+4
4a=72
a=72/4
a=18
Answer:
The answer is 18. (A)
Step-by-step explanation:
Let me know if this helps
Solve the equation using square roots. x2 – 14 = –10
Answer:-12
Step-by-step explanation:
Add 10+14 to get 24 then divide it by a negative 2 to get -12
Answer:
x = ±2
Step-by-step explanation:
x^2 – 14 = –10
Add 14 to each side
x^2 – 14+14 = –10+14
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
pLeAsE HeLp!!
Nicole and Kim are in cities that are 285 miles apart when they begin driving toward each other. Nicole drives 5 mi/h faster than Kim. If they meet in 3 hours, what is the rate of each driver?
Answer:
Nicole's rate: 50 mi/h
Kim's rate: 45 mi/h
Loren solved the equation 10 = startfraction 19 over 9 endfraction (149) b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). what error did loren make?
The eqations are 149=19/9 (10) +b and 130=19/9(1)+b
Given that,
As part of her work, Loren found the solution to the equation 10 = start fraction 19 over 9 end fraction (149) b for b and the points are (1, 130) and (10, 149)
Finding the slope of a line that goes through two locations for Loren is as follows: m=y2-y1/x2-x1
=149-130/10-1
=19/9
m=19/9
There are two ways to solve for b in the equation y=mx+b for the location (1,130), where y=130, x=1, and m=19/9, and for the position (10,149), where 149=19/9 (10) +b.
Therefore, the equation of a trend line that passes through the points (1, 130) and (10, 149) are 149=19/9 (10) +b ,130=19/9(1)+b
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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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A substance decays so that the amount a of the substance left after t years is given by: a = a0 • (0.7)t, where a0 is the original amount of the substance. what is the half-life (the amount of time that it takes to decay to half the original amount) of this substance, rounded to the nearest tenth of a year?
The half-life of the substance is 1.94 years.
What is exponential decay formula?The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a \((1-r)^{x}\) is the general form.
Here
a = the initial amount of substance
1-r is the decay rate
x = time span
The correct form of the equation is given as:
\(a=a_{0}\)×\((0.7)^{t}\)
where t is an exponent of 0.7 since this is an exponential decay of 1st order reaction
Now to solve for the half life, this is the time t in which the amount left is half of the original amount, therefore that is when:
a = 0.5 a0
Substituting this into the equation:
0.5 \(a_{0}=a_{0}\)×\((0.7)^{t}\)
0.5 = \((0.7)^{t}\)
Taking the log of both sides:
t log 0.7 = log 0.5
t = log 0.5 / log 0.7
t = 1.94 years
The half life of the substance is 1.94 years.
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Please help me with this
Brainiest answer to who ever is correct
Answer:
y=-2x-3
Step-by-step explanation:
Answer:
so slope or gradient is -2
Step-by-step explanation:
y=-2x-3
Melissa had d dollars. She earned 5 more dollars babysitting
Answer:
D + 5
Step-by-step explanation:
Is this is an expression you have to write the answer would be d + 5
There are 3 points on a line A, B and C.
If B is between A and C what is the length of BC.
AB= x²-6x
BC= x²+20x
AC= 60-12x
Given :
B is between A and C
AB= x²-6x
BC= x²+20x
AC= 60-12x
B divide into 2 equal parts
AB and AC are equal
AC = AB +BC
60-12x = x²-6x + x²+20x
\(60= 2x^{2} -6x +20x +12x\)
\(60 = 2x^{2} -6x +32x\\\)
\(60= 2x^{2} +26x\)
\(30 = x^{2} +13x\\\\\)
\(x^{2} +13x -30 = 0\\x^{2} +15x-2x-30 =0\)
\(x(x+15) -2 (x+15) =0\)
\((x-2) (x+15) =0\\\)
x=2 , x=-15
x never be negative the x is 2
BC = x²+20x
BC = 2*2 +20*2
BC = 4 +40
BC = 44
length of BC =44
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Given that u= [6/5] and v=[-6/4] find 1/3( u-1/2v)
Answer:
\(\frac{-7}{10}\ or \ 0.7\)
Step-by-step explanation:
step 1.
\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)
step 2.
put it in a calculator
step 3
=\(\frac{-7}{10}\ or \ 0.7\)
Help with congruent angles - please----
State if the 2 angles are congruent.
If they are, state how you know- for example SSS or SAS.
Answer:
No, they are not congruent, see why belowStep-by-step explanation:
The red lines indicate corresponding angles. Here we see 2 corresponding congruent sides and 1 corresponding congruent angle. The SAS postulate states that we can conclude a triangle is congruent if we have 2 sides and 1 angle as being congruent. However, on closer inspection, we will notice that the angle is not actually corresponding. The first triangle has the angle between the two sides marked, but the second one has the angle on the other side marked. Because of this, we cannot conclude the triangles are congruent.
How do I find the domain range and function of the graph
Answer:
D = {-3, -2, -1, 1, 4}
R = {-5, -1, 0, 2}
Step-by-step explanation:
You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.
__
The domain is the set of x-values of the points on the graph:
D = {-3, -2, -1, 1, 4}
The range is the set of (unique) y-values of the points on the graph:
R = {-5, -1, 0, 2}
The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t
(in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.
Formula=
£=
Answer:
\(Formula : \to \: \boxed{m = w - t} \\
he \: can \: spend : \to \boxed{£108}\)
Step-by-step explanation:
\(let \: the \: money \: (in \: £) \: Billy \: has \: to \: spend \: be \: \to \: \boxed{m} \\ let \: his \: wage \: (in \: £) \: be \to \: \boxed{w} \\ let \: the \: tax \: (in \: £) \: be \: \to \boxed{t} \\ then \: the \: required \: formula\: \: is \to \\ \boxed{m =w - t } \\ if \: he \: earns \: £150 \: and \: pays \: £42 \: tax \: : \: then \: \to \\ m = £150 - £42 \\ m = £108\)
♨Rage♨
What are the vertex and range of y = |x 3| 7? (3, 7); −[infinity] < y < [infinity] (3, 7); 7 ≤ y < [infinity] (−3, 7); −[infinity] < y < [infinity] (−3, 7); 7 ≤ y < [infinity]
From the given equation with the modulus , Range are the set of possible values of output of the function , The answer is (-3,7); \(7\leq y \leq [infinity]\) .
What do you mean by domain and range?The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.
What do you mean by a vertex?A vertex is a location in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral. A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.
from the given options. Since, our function contains absolute of x, The range can't be any negative values.
So, The right option in (-3,7);\(7\leq y \leq [infinity]\)
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Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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Solve for “x”
5(x + 3) = -2(x - 6)
Need help ASAP
All steps PlZ
Will give Brainlist
Answer:
Step-by-step explanation:
Answer:
x = -3/7
Step-by-step explanation:
5(x + 3) = -2(x - 6)
Multiply the values on the outside of the parenthesis by what is on the inside.
5x + 15 = -2x + 12
Combine like terms by bringing them over to the other side using the necessary operation (addition or subtraction).
Bring -2x over to the left side by adding it to 5x.
5x + 2x = 7x
Bring 15 over to the right side by subtracting it from 12.
12 - 15 = -3
Now we have:
7x = -3
We need to get the x all by itself, so we divide both sides by 7.
7x/7 = x
-3/7 cannot be simplified further, so it is left as -3/7.
If you're confused about anything or have any questions, comment them and I'll try to help ya out. :)
Find the value of c that makes the equation a perfect square trinomial.
x^2+8x+c
Answer:
16
Step-by-step explanation:
(x + 4)(x + 4)
x² + 4x + 4x + 16
x² + 8x + 16