Answer:
10 13/16
Step-by-step explanation:
What is the area of the model
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x
16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6
smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest
ASAP!! Photo attached
Answer:
FG = 120 cm
Step-by-step explanation:
The explanation is in the picture!
The triangle below will be reflected across the line x = 5, then translated to
the left 12 units to form an image. A reflection over which line would result
in the same image?
Reflecting over the y-axis and then translating to the right 10 units
Step-by-step explanation:
Reflection over the line x=5 gives you the transformation ...
(x, y) ⇒ (2·5 -x, y) = (-x +10, y)
This is precisely the same transformation you get by reflection over the y-axis:
(x, y) ⇒ (-x, y)
followed by translation to the right 10 units:
(-x, y) ⇒ (-x +10, y)
__
Reflection over x=5 is the same as reflection over y and translation right 10.
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if a quick bread recipe yields 6 cups of batter and a muffin requires 1/4 cup of batter, how many muffins will the quick bread recipe yield?
The number of muffins that the quick bread recipe will yield is given as follows:
24 muffins.
How to obtain the number of muffins that the quick bread recipe will yield?The number of muffins that the quick bread recipe will yield is obtained applying the proportions in the context of this problem.
We have that:
Quick break yields 6 cups of batter.A muffin requires 1/4 of a cup of batter.Hence the number of muffins that the quick bread recipe will yield is calculated as follows:
6/(1/4) = 6 x 4 = 24 muffins.
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Consider the following program, x 2 REPEAT 4 TIMES XX * 3 Which of the following expressions represents the value stored in the variable x as a result of executing the program? a. 2*3*3*3 b. 2.4.44 c. 2'3'3'33 d. 24*4*4*4
The correct expression representing the value stored in the variable x after executing the given program is: a. 2*3*3*3 This is because the program starts with x having a value of 2 and then multiplies x by 3 four times in a row.
The expression that represents the value stored in the variable x as a result of executing the program is option D: 24*4*4*4. This is because the program starts with the x being assigned the value 2, and then the instruction "XX * 3" is executed 4 times.
This means that the value of x is multiplied by 3, four times in a row. So, the final value of x will be 2 * 3 * 3 * 3 * 3, which simplifies to 24 * 4 * 4 * 4.
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Answer this question to get marked as barinliest!!!!!!
Answer:
2x to the 5th power
A membership at a gym cost $15. A person without a membership must pay $1.75 each time they go to the gym. How many times would a person have to go to make the membership a better deal
It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.
How far apart are his school and his house?
Answer:
2
Step-by-step explanation:
1/5*10
in a haplodiploid system, calculate the relatedness of a son to a maternal aunt.
In a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.
In a haplodiploid system, males develop from unfertilized eggs and are haploid, while females develop from fertilized eggs and are diploid. This means that sons inherit all of their genetic material from their mother, including her alleles from both her haploid sets of chromosomes. Maternal aunts, on the other hand, share one set of haploid chromosomes with their nephew (the son), as they are the sister of his mother. Therefore, the relatedness between a son and his maternal aunt in a haplodiploid system is 0.75 or 75%.
In a haplodiploid system, the relatedness of a son to a maternal aunt can be calculated using the following steps:
1. Determine the relatedness of the son to his mother: In haplodiploid systems, sons are haploid and inherit their single set of chromosomes from their mother. This means that they are 100% related to their mother, as they share all her genes.
2. Determine the relatedness of the maternal aunt to the son's mother: The maternal aunt is a sister of the son's mother. In haplodiploid systems, sisters share 75% of their genes, as they get half of their genes from their mother and the other half from their father (who, as a haploid male, gives all his genes to his daughters).
3. Calculate the relatedness of the son to his maternal aunt: To determine the relatedness of the son to his maternal aunt, multiply the son's relatedness to his mother (100%) by the maternal aunt's relatedness to the son's mother (75%).
Relatedness of son to maternal aunt = (1.0) * (0.75) = 0.75 or 75%
So, in a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.
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the price of a phone on sale was increased from $80 to $120. By what percentage was the price of the phone increased?
Answer:
50% increase
Step-by-step explanation:
120 - 80 = 40
40 = 50% of 80
Answer:
50%
Step-by-step explanation:
120 / 80 = 1.5
1.5 x 100 = 150%
150% - 100% = 50%
The half-life of carbon-14 is 5715 years. 10,000 years aftor t-0, the amount of carbon-14 in a sample decayed to 3 grams. Develop an equation modeling the radioactive decay and use it to estimate the amount of carbon-14 that was in the sample when t 1,000 years. Round your answer to three decimal points.
The estimated amount of carbon-14 when t = 1,000 years is approximately 34.196 grams.
The decay of carbon-14 follows an exponential decay model, which can be expressed as:
A(t) = A₀ * \(e^(-kt)\)
Where:
- A(t) is the amount of carbon-14 at time t
- A₀ is the initial amount of carbon-14
- k is the decay constant
The half-life of carbon-14 is given as 5715 years. The decay constant (k) can be calculated using the formula:
k = ln(2) / half-life
k = ln(2) / 5715
Now we can rewrite the equation as:
A(t) = A₀ * \(e^(-(ln(2) / 5715) * t)\)
We are given that 10,000 years after t₀, the amount of carbon-14 is 3 grams. So we can substitute t = 10,000 and A(t) = 3 into the equation:
3 = A₀ *\(e^(-(ln(2) / 5715) * 10,000)\)
To find the initial amount A₀, we rearrange the equation:
A₀ = 3 /\(e^(-(ln(2) / 5715) * 10,000)\)
Now we can estimate the amount of carbon-14 when t = 1,000:
A(1,000) =\(A₀ * e^(-(ln(2) / 5715) * 1,000)\)
Substituting the value of A₀ into the equation and evaluating it will give us the estimated amount of carbon-14 when t = 1,000 years. Rounding the answer to three decimal points will provide the final result.
Therefore, the estimated amount of carbon-14 when t = 1,000 years is approximately 34.196 grams.
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Use the GCF and the distributive property to find the expression that is
equivalent to 36 + 54.
O A. 18(2 + 3)
O B. 3(12 + 18)
O C. 9(4+6)
O D. 6(6+9)
Answer:
c
Step-by-step explanation:
Answer:
A. 18 (2 + 3)
A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.
A.3/25
B.9/100
C.3/4
D.4/25
Answer:
Step-by-step explanation:
There are 10 cubes all together.
You want blue and then red with replacement.
Blue
P(B then red) = 3/10 * 4/10 = 12 / 100
12/100 reduces to 3/25
The answer is A
Answer:
A?
Step-by-step explanation:
The base of this right triangular pyramid is a right triangle with a base edge that measures 3 m and an altitude to that base that measures 6 m. The height, h, of the pyramid is 5 m.
What is the volume of this pyramid?
Hence, the right triangle pyramid has a 15 m³ volume.
How can I determine my height?The youngster or adolescent should maintain a straight gaze that is parallel to the ground. Measure the kid or adolescent when they are standing with their head, shoulders, hips, and heels on a flat surface (wall).
The following formula can be used to figure out the size of a right triangle pyramid:
V = base area divided by height
Let's start by locating the pyramid's base. The pyramid's base is a right angle with a base height of 3 m and an altitude of 6 m. The formula for a triangle's area is:
A = (1/2) × base × height
Hence, the pyramid's base area is as follows:
B = (1/2) × 3 m × 6 m = 9 m²
We can now enter the data into the algorithm to determine the pyramid's volume:
V = (1/3) × 9 m² × 5 m = 15 m³
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WILL GIVE BRAINLIEST! What is the measure of the angle formed by the lines 2x–7y+6=0 and 14x+4y–17=0?
Answer:
the measure of the angle formed by given lines is 90°
Step-by-step explanation:
Line 1:
2x - 7y + 6 = 0
- 7y = - 2x - 6
y = \(\frac{2}{7}\) x + \(\frac{6}{7}\)
Slope of line 1:
\(m_{1}\) = \(\frac{2}{7}\)
Line 2:
14x + 4y - 17 = 0 ⇔ y = - \(\frac{7}{2}\) x + \(\frac{17}{4}\)
Slope of line 2:
\(m_{2}\) = - \(\frac{7}{2}\)
\(m_{1}\) \(m_{2}\) = - \(\frac{7}{2}\) × \(\frac{2}{7}\) = - 1 ⇒ lines are perpendicular
Find the mass of the following thin bars with the given density function. p(x) = 1 + sin x, for 0 ≤ x ≤ π
To find the mass of the thin bars, we need to integrate the density function over the given interval. The density function is given as p(x) = 1 + sin x, for 0 ≤ x ≤ π.
We know that density is defined as mass per unit volume. In this case, the density function represents the mass per unit length. So, to find the mass of the thin bars, we need to integrate the density function over the given length.
The formula for mass is given as:
m = ∫ρ(x)dx
where m is the mass, ρ(x) is the density function, and dx is the infinitesimal length element.
So, in this case, we have:
m = ∫(1 + sin x)dx
Integrating this expression, we get:
m = x - cos x + C
where C is the constant of integration.
Now, we need to evaluate this expression for x = π and x = 0 and subtract the two to get the mass of the thin bars.
m = π - cos π - (0 - cos 0)
m = π + 1
Therefore, the mass of the thin bars with the given density function is π + 1.
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Please helpp
Solve this problem using order of operation
10 x( 4 + 3)
Answer:
70
Step-by-step explanation:
first step (4+3)=7
second step 10×7=70
A toy car accelerates from rest(m/s) to a velocity of 4.3 m/s. It does this over a time of 4 seconds. What is the car's acceleration?
answer
Do not include units in your answer. Round all answers to 2 decimal plases if possible
Answer:
Step-by-step explanation:
+5 pts
Which sample of water has the most thermal energy?
O A. A 0.5 kg sample at 1°C
O B. A 1.5 kg sample at 10°C
O C. A 1 kg sample at 10°C
O D. A1 kg sample at 4°C
Ask q87d9d4hai about this question...
Answer +5 pts
Which sample of water has the most thermal energy?
O A. A 0.5 kg sample at 1°C
O B. A 1.5 kg sample at 10°C
O C. A 1 kg sample at 10°C
O D. A1 kg sample at 4°C
Ask q87d9d4hai about this question...
Answer
0 17 answers
287 people helped
Answer:
THE ANSWER IS #A
Explanation:
0
rhsg7wugwyehehhehe
17 answers
287 people helped
Answer:
Answer:
Step-by-step explanation:
the answer is dirroeah
Question is regarding Gailos Group and Automorphism and Modules from Abstract Algebra. Please answer only if you are familiar with the topic. Write clearly and do not copy random answers. Thank you!
Show that Aut(Z x Z) = GL2(Z). Hint: Note that Z X Z is a free Z-module and thus has a basis. a
An automorphism of Z x Z with det(ϕ) = det(A). This shows that we get a map GL2(Z) → Aut(Z x Z) by taking each matrix to the corresponding automorphism. Thus, Aut(Z x Z) = GL2(Z) is proven.
Automorphism is defined as a bijective homomorphism from a group G to itself. GL2(Z) is defined as the group of 2x2 matrices with integer entries with a nonzero determinant. Its determinant is denoted by det(GL2(Z))
Aut(ZxZ) is defined as the set of all automorphisms of the group ZxZ. ZxZ is a free Z-module and thus has a basis. Any element of ZxZ can be represented as (m, n) = m(1,0) + n(0,1). We can prove that Aut(Z x Z) = GL2(Z) as follows: Let ϕ be any automorphism of Z x Z. Since (1, 0) and (0, 1) are linearly independent over Z, their images under ϕ also have to be linearly independent over Z. This means that the matrix of ϕ is invertible over Z, hence det(ϕ) is invertible over Z. Thus we get a map Aut(Z x Z) → GL2(Z) by taking the determinant of each automorphism.
Now, let A be any invertible matrix with integer entries. Define ϕ: Z x Z → Z x Z by ϕ(m, n) = (m, n)A. It is clear that ϕ is a homomorphism of Z x Z, and it is bijective since A is invertible. Thus ϕ is an automorphism of Z x Z with det(ϕ) = det(A). This shows that we get a map GL2(Z) → Aut(Z x Z) by taking each matrix to the corresponding automorphism. It is easy to check that these two maps are inverse to each other, so Aut(Z x Z) = GL2(Z).Thus, Aut(Z x Z) = GL2(Z) is proven.
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Anthony borrowed $158 from a friend ,Josue . He paid josue $89 of the money back how much money does Anthony still owe josue?
Answer:
$69
Step-by-step explanation:
He ows Josue $69 because $158-$89 = $69
It took 6 minutes to pick 24 apples. How many apples could be picked in 8 minutes at the same rate? Dennis said, "I should divide 24 by 6 to get a rate of 4 apples per minute. So, if I multiply 4 apples per minute by 8 minutes, the answer would be 32 apples." Which statement best describes Dennis' reasoning? A. Dennis is correct. B. Dennis is incorrect because he should've devided 6 by 24 to find the answer.. C. Dennis should have divided 8 by 4. D. He should've added 2 to 24.
It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
Dennis' reasoning is incorrect.
To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.
Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.
The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.
To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
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A car travels 279 miles in 4 1/2 hours. How many miles would the car travel
in 12 hours? *
Answer:
744 miles in 12 hours.
Step-by-step explanation:
MATH
the mean game scores and standard deviations of four seasons of a football team are given below.seasonmeanstandard deviation2005193.52006212.82007121.0200894.0which statement must be true?
The statement "All seasons had the same level of variability in game scores" must be false.
To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.
Given:
Season 2005: Mean = 193.5, Standard Deviation = 0
Season 2006: Mean = 212.8, Standard Deviation = 0
Season 2007: Mean = 121.0, Standard Deviation = 0
Season 2008: Mean = 94.0, Standard Deviation = 0
From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.
Therefore, the statement "All seasons had the same level of variability in game scores" must be false.
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7b-3b+4 please help me with this
Answer:
4b+4
Step-by-step explanation:
7b-3b = 4b and then you cant do anything with the four so your answer should be 4b+4!
Please help me. Show your work.
Find the value of x in the figure.
Answer:
x = 17
Step-by-step explanation:
2x + 6x + 15 + x + 12 = 180 (angle sum of triangle is equal to 180)
9x = 153
x = 17
HELP PLZ! SERIOUS ANSWERS ONLY THO!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!
You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.
You must:
Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
Solve this question with full working and explanation and I will mark you as brainliest.
Answer:
The hand moved \(\bf \frac{3}{4}\) of a complete turn.
Step-by-step explanation:
The hand moved from 3 to 12, that is, it moved:
12 - 3 = 9 hours
In a clock, 12 hours represent a complete turn.
∴ Using the unitary method:
12 hours ⇒ 1 turn
1 hour ⇒ \(\frac{1}{12}\) turns
9 hours ⇒ \(\frac{1}{12}\) × 9 = \(\frac{9}{12}\)
= \(\bf \frac{3}{4}\) turns (simplified)
∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.
The answer is \(\boxed{\frac{3}{4}}\).
To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.
Hours covered between 3 and 12 : 12 - 3 = 9Hours covered in a complete turn = 12Fraction of a complete turn it moved : 9/12 = 3/4A rectangular piece of land is bordered on one side by a river. The other 3 sides are to be enclosed by 300 feet of fencing. What is the maximum area that can be enclosed?
The maximum area that can be enclosed is \(A = xy = 75 * 150 = 11,250\) square feet.
How to find maximum area?Total length of fencing used is \(2x + y = 300\) feet. Solving for y, we get x\(2x + y = 300\)
The area of the rectangular piece of land is given by A = xy. Substituting y in terms of x, we get \(A = x(300 - 2x) = 300x - 2x^2\).
To find the maximum area, we can take the derivative of A with respect to x and set it equal to 0: \(dA/dx = 300 - 4x = 0\). Solving for x, we get x = 75 feet.
Plugging x back into \(y = 300 - 2x\), we get y = 150 feet.
Therefore, the maximum area that can be enclosed is \(A = xy = 75 * 150 = 11,250\) square feet.
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Find the derivative of the function. y = 5 tan^-1 (x - sqrt(1 + x^2)
The derivative of the function \(y=5 \tan ^{-1}\left(x-\sqrt{1+x^2}\right)\) is \(\frac{d y}{d x}=\frac{5}{2\left(1+x^2\right)}\).
In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g.
Use the chain rule to differentiate the given function.
\(\frac{d y}{d x}=5 * \frac{1}{1+\left(x-\sqrt{1+x^2}\right)^2} * \frac{d}{d x}\left(x-\sqrt{1+x^2}\right)\)
\(=\frac{5}{1+\left(x^2-2 x \sqrt{1+x^2}+\left(\sqrt{1+x^2}\right)^2\right)} *\left(1-\frac{x}{\sqrt{1+x^2}}\right)\)
Simplify the above expression.
\(\frac{dy}{dx} =\frac{5}{1+x^2-2 x \sqrt{1+x^2}+1+x^2} *\left(\frac{\sqrt{1+x^2}-x}{\sqrt{1+x^2}}\right)\)
Combine like terms.
\(\frac{dy}{dx} =\frac{5}{2+2 x^2-2 x \sqrt{1+x^2}} *\left(\frac{\sqrt{1+x^2}-x}{\sqrt{1+x^2}}\right)\)
Further, simplifying the above expression.
\(\frac{dy}{dx} =\frac{5}{2\left(1+x^2-x \sqrt{1+x^2}\right)} *\left(\frac{\sqrt{1+x^2}-x}{\sqrt{1+x^2}} \cdot \frac{\sqrt{1+x^2}+x}{\sqrt{1+x^2}+x}\right).\)
\(=\frac{5}{2\left(1+x^2-x \sqrt{1+x^2}\right)} *\left(\frac{1+x^2-x^2}{1+x^2+x \sqrt{1+x^2}}\right)\)
\(\begin{aligned}& =\frac{5}{2\left[\left(1+x^2\right)^2-\left(x \sqrt{1+x^2}\right)^2\right]} \\& =\frac{5}{2\left[\left(1+2 x^2+x^4\right)-\left(x^2\left(1+x^2\right)\right]\right.} \\& =\frac{5}{2\left[1+2 x^2+x^4-\left(x^2+x^4\right)\right]} \\& =\frac{5}{2\left[1+2 x^2+x^4-x^2-x^4\right]} \\& =\frac{5}{2\left[1+x^2\right]}\end{aligned}\)
Therefore, the derivative of the given function is \(\frac{d y}{d x}=\frac{5}{2\left(1+x^2\right)}\).
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