Answer:
C
Step-by-step explanation:
Because that's how many her uncle gave her
What is dry unit weight of the soil sample below (γ_d) in lb/ft ^3? The combined weight of a mold and the compacted soil sample is 8.8lb The mold's volume is 1/30ft^3 .The mold's weight is 4.5lb The soil sample's water content is 14% Please ROUND to the nearest Thousandth (i.e., 0.001). Enter only numbers (Do not enter units!). Answer:
The exact dry unit weight of the soil sample is 129.0297 lb/ft³. This value is obtained by dividing the weight of the dry soil (4.3 lb) by the volume of the soil (0.03333 ft³).
To find the dry unit weight of the soil sample (γ_d) in lb/ft³, we need to calculate the weight of the dry soil and divide it by the volume of the mold.
Given:
Combined weight of mold and compacted soil = 8.8 lb
Volume of the mold = 1/30 ft³
Weight of the mold = 4.5 lb
Water content of the soil sample = 14%
To calculate the weight of the dry soil, we subtract the weight of the mold from the combined weight:
Weight of the dry soil = Combined weight - Weight of the mold
Weight of the dry soil = 8.8 lb - 4.5 lb
Weight of the dry soil = 4.3 lb
To calculate the volume of the soil, we subtract the volume of water from the volume of the mold:
Volume of the soil = Volume of the mold - Volume of water
Volume of the soil = 1/30 ft³ - (1/30 ft³ × 14%)
Volume of the soil = 1/30 ft³ - 0.00467 ft³
Volume of the soil = 0.03333 ft³
Finally, we can calculate the dry unit weight of the soil:
γ_d = Weight of the dry soil / Volume of the soil
γ_d = 4.3 lb / 0.03333 ft³
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1% of what number is 3
Answer:300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
Three students Tahat, Promi and Kabi, Appeared at an examination. Promi secured 11 marks less than Tahat, 5 marks more than kabi and again. Tahat's marks were 75% of the sum of Promi and Kabi's marks. Find out their individual marks
Answer: Tahat= 40.5 marks Promi =29.5 marks, Kabi =24.5 marks
Step-by-step explanation:
Step 1
Let the marks be represented as x+11, x and x-5 for Tahat, Promi and Kabi respectively
and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as
x+11 = 75/100(x + x-5)
Step 2 --- Solving
x+11 = 75/100(x + x-5)
x+ 11 = 3/4(2x-5)
x+11= 6x-15/4
4x+44=6x-15
44+15=2x
x= 59/2= 29.5,
A) x= Promi's mark was 29.5
B)Promi secured 5 marks more than kabi
Therefore, Kabi's mark was 5 marks less than Promi
= x-5
29.5- 5= 24.5 marks
C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi
x+11= 29.5 + 11= 40.5
Find 175.7% of 163. Round to the nearest tenth.
Answer: The answer is 286.4! (Not rounded: 286.391)
Step-by-step explanation:
I hope this helped you! <333
I can’t figure this out. Help is greatly needed
Answer:
3x^3 - 2x^2 + 10x - 12
Step-by-step explanation:
you will just add those terms together
Answer:
B
Step-by-step explanation:
(f+g)(x) means f(x)+g(x), so you would just do 3x^3-2x^2+4x-5+6x-7.
You don't need to distribute the plus sign because it does nothing to 6x-7.
3x^3- stays constant due to no like terms
-2x^2- stays constant due to no like terms
4x+6x=10x
-5-7=-12
So it would be:
3x^3-2x^2+10x-12
Multiply (3x-2) (2x+3)
Answer:
6x^2 + 5x + 6
Step-by-step explanation:
Distributive property
Answer:
=6x^2+5x−6
Step-by-step explanation:
Using the foil method, 3x*2x+3x*3+-2*2x+-2*3
Mr. Singer has a dining table in the shape of a regular hexagon. While he loves this design, he has trouble finding tablecloths to cover it. He has decided to make his own tablecloth! nda What eas? 1:9 In order for his tablecloth to drape over each edge, he will add a rectangular piece along each side of the regular hexagon as shown in the diagram below. Using the dimensions given in the diagram, find the total area of the cloth Mr. Singer will need. answers (round to the tenths place):
So, Mr. Singer will need approximately 29.4 square feet area of cloth to cover his dining table with the rectangular pieces added along each side.
To find the total area of the cloth, we need to find the area of the regular hexagon and the six rectangular pieces added along each side.
The formula for the area of a regular hexagon with side length s is:
A_hex = 3√3/2 * s^2
Substituting s = 2 feet (given in the diagram), we get:
A_hex = 3√3/2 * (2 feet)^2 = 6√3 square feet
The rectangular pieces along each side will have a width of 2 feet (same as the side length of the hexagon) and a length of 1.5 feet (given in the diagram). So, the area of each rectangular piece is:
A_rect = length * width = 1.5 feet * 2 feet = 3 square feet
Since there are six rectangular pieces, the total area of the rectangular pieces is:
A_total_rect = 6 * A_rect = 6 * 3 square feet = 18 square feet
Therefore, the total area of the cloth Mr. Singer will need is:
A_total = A_hex + A_total_rect = 6√3 square feet + 18 square feet ≈ 29.4 square feet
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A history professor decides to give a 12-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade? Group of answer choices
Answer:
we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
Step-by-step explanation:
From the given information;
Sample size n = 12
the probability of passing a student who guesses on every question is less than 0.10
In a alternative - response question (true/false) question, the probability of answering a question correctly = 1/2 = 0.5
Let X be the random variable that is represent number of correct answers out of 12.
The X \(\sim\) BInomial (12, 0.5)
The probability mass function :
\(P(X = k) = \dfrac{n!}{k!(n-k)!} \times p^k\times (1-p)^{n-k}\)
\(P(X = 12) = \dfrac{12!}{12!(12-12)!} \times 0.5^{12}\times (1-0.5)^{12-12}\)
P(X = 12) = 2.44 × 10⁻⁴
\(P(X = 11) = \dfrac{12!}{11!(12-11)!} \times 0.5^{11}\times (1-0.5)^{12-11}\)
P(X =11 ) = 0.00293
\(P(X = 10) = \dfrac{12!}{10!(12-10)!} \times 0.5^{10}\times (1-0.5)^{12-10}\)
P(X = 10) = 0.01611
\(P(X = 9) = \dfrac{12!}{9!(12-9)!} \times 0.5^{19}\times (1-0.5)^{12-9}\)
P(X = 9) = 0.0537
\(P(X = 8) = \dfrac{12!}{8!(12-8)!} \times 0.5^{8}\times (1-0.5)^{12-8}\)
P(X = 8) = 0.12085
\(P(X = 7) = \dfrac{12!}{7!(12-7)!} \times 0.5^{7}\times (1-0.5)^{12-7}\)
P(X = 7) = 0.19335
.........
We can see that,a t P(X = 9) , the probability is 0.0537 which less than 0.10 but starting from P(X = 8) downwards the probability is more than 0.01
As such, we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
Factor the trinomial
10x^2+11X-6
Answer:
Not factorable with rationable numbers
Step-by-step explanation:
You cannot factor this expression with rationable numbers.
What value of x satisfies this equation? 4(2.5)^2x=4
Answer:
x = 0 satisfies the equation
Step-by-step explanation:
Here, we want to get the value of x that satisfies the equation
4(2.5)^2x = 4
divide both sides by 4
So, we have
2.5^2x = 1
2.5^2x = 2.5^0
Since bases area equal, we equate powers
2x = 0
x = 0/2
x = 0
in rapidminer, which operator is used to create correlation coefficients? statistical correlation cor() mutual correlation correlation matrix
In rapidminer, correlation matrix is used to create correlation coefficients.
Correlation matrix Operator determines correlation between all attributes and it can produce a weights vector based on these correlations. Correlation is a statistical technique that can show whether and how strongly pairs of attributes are related.
Suppose we have two Attributes X and Y, with means X' and Y' respectively and standard deviations S(X) and S(Y) respectively. The correlation is computed as summation from 1 to n of the product (X(i)-X').(Y(i)-Y') and then dividing this summation by the product (n-1).S(X).S(Y) where n is total number of Examples and i is the increment variable of summation.
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The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is the probability that washing dishes tonight will take me between 12 and 15 minutes? D Give your answer accurate to two decimal places.
Therefore, the probability that washing dishes tonight will take between 12 and 15 minutes is 0.33
The probability is given by the formula:
Probability (P) = (length of the interval) / (total length of the distribution)
Now, the length of the interval is 15 - 12 = 3 and the total length of the distribution is 16 - 7 = 9.
Thus, Probability (P) = 3 / 9
= 1 / 3 = 0.33 (rounded to two decimal places).
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Find the measures of the interior angles of the triangle.
The value of interior angle is 60.
What is triangle?
A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol.
What is interior angle?
In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180°. The bisectors of these angles meet at an point known as incenter. As the sum of interior angles of a triangle is 180°, there is only one possible right angle or obtuse angle possible in each triangle.
The sum of interior angle is 180
Given angles is 30, 90, x.
Therefore, sum is given by
90 + 30 + x = 180
120 + x = 180
x = 180-120
x = 60
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Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
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The value of y is directly proportional to the value of x. If y = 36 when x = 140 what is the value of y whenx x = 70?
Answer:
The value of y is 18 at x = 70
Step-by-step explanation:
The equation of the directly proportional is y = k x, where k is the constant of proportionality.
∵ The value of y is directly proportional to the value of x
→ By using the equation above
∴ y = k x
∵ x = 140 and y = 36
→ Substitute them in the equation above
∴ 36 = k(140)
∴ 36 = 140k
→ Divide both sides by 140
∵ \(\frac{36}{140}\) = k
∴ \(\frac{9}{35}\) = k
→ Substitute the value ok in the equation
∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality
∵ x = 70
→ Substitute in the equation to find y
∴ y = \(\frac{9}{35}\) × 70
∴ y = 18
∴ The value of y is 18 at x = 70
- Use the numbers 2,165 and 4,428 to write and solve an equation that uses borrowing (regrouping).
Answer:
4,428-2,165=2,263
Step-by-step explanation:
you regroup the 2
The equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.
What is Borrowing?Borrowing in subtraction, like "carrying" in addition, means to take quantities from one number and assign them to the next. The 10 is borrowed from the next higher digit column in this approach to generate a positive difference in the next column.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. An equation that uses borrowing or regrouping can be written as,
4,428 - 2,165 = 2,263
Hence, the equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.
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if a fractions numerator decreases the value of the fraction___
If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.
The numerator represents the number of parts we have out of the whole, while the denominator represents the total number of equal parts that make up the whole.
By decreasing the numerator, we are essentially reducing the number of parts we have, while the total number of parts remains the same. This means that the fraction represents a smaller portion of the whole, resulting in a smaller value.
Therefore, If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.
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Which structures secrete chemicals utilized for the completion of digestion within the small intestine?
Answer:
In the small intestine more digestive enzymes act on the food. Pancreatic juice, from the pancreas, and bile, produced in the liver and stored in the gall bladder, continue to break down various parts of the food. They complete the digestion of starches, sugars, and fats. I hope tis helps
Step-by-step explanation:
is it bad i feel alone like its 1+1 but the other part of me to finsih the proplom is gone
Answer:2
Step-by-step explanation:
you just add 1 +1 which equals 2
What is the volume of the following triangular prism?
4.5 cm
12 mm
7 cm
3.5 cm 3
18.9 cm 3
12 cm
13
37.8 cm 3
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = \(\sqrt{s (s-a)(s-b)(s-c)}\)
When you have the prism's base area (\(b_{a}\)) you just have to multiply:
\(b_{a}*h=V\)
(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
Ed has $5.06.
He finds $1.03.
About how much $ does he have now?
Answer:
Ed now has $6.09
Discuss why even though there are a limited number elements, there
is an infinite number of types of matter (2-3 sentences). Make sure
to discuss matter composition and/or geometry.
The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.
While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.
Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.
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A braced cut, 5 m wide and 7.5 m deep is
proposed in a cohesionless soil deposit having
effective cohesion C* = 0 and effective friction
angle ¢' = 36°. The first row of struts is to be
installed at a depth of 0.5 m below ground surface
and spacing between the struts should be 1.5 m.
If the horizontal spacing of struts is 3m and unit
weight of the deposit is 20 kN/m3, the maximum
strut load will be _____
The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)
In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:
Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN
Therefore, the maximum strut load is 70.87 kN.
The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.
The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.
The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.
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Solve for x:
1/ax + 1/bx = 1
In the diagram, which two angles are alternate interior angles with angle 14?
12
3
4
13/14
16/15
and 12
and 29
and 210
5 6
8 7
9 10
12 11
Save and Exit
Next
Sub
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
What is mean by interior angles?Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points. These angles represent whether the two given lines are parallel to each other or not. If these angles are equal to each other then the lines crossed by the transversal are parallel. In this article, we will discuss what are alternate interior angles, the theorem statements and proofs based on the alternate interior angles, what is a co-interior angle, and many solved examples.
An interior angle is a shape's internal angle. The closed form with sides and vertices is a polygon. All of the inner angles of a regular polygon are equal to one another. For instance, a square has internal angles that are all exactly right angles, or 90 degrees.
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someone should really help me with this question
I believe the answer would be A
a car can travel 70 miles on 5 gallons of gasoline. how much gasoline will it need to go 308 miles
Answer:
22
Step-by-step explanation:
308/70 = 4.4
4.4 * 5
What is 4y-3x???Pls help for math
Answer:
No solution
Step-by-step explanation:
It's an expression, which means there isn't an answer. I feel like you've left out some needed information.
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
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You have 18 coins that are all nickels and quarters. The value of the coins is $3.70. How many of each coin do you have
18 quarters = $4.5
17 quarters 1 nickel = $4.3
16 quarters 2 nickels = $4.1
15 quarters 3 nickels = $3.9
14 quarters 4 nickels = $3.7