Answer:
x=14
Step-by-step explanation:
This is asking for the ratio of A to B.
The x-10 is 1.
The 28 is 7.
Find the scale factor by executing 28/7=4.
So, you would want polygon A to be 4 in order to be proportional to polygon B.
Now, you can just guess and check that 14-10=4
Or, you can set up the equation as follows: x-10 = 4
+10 +10
x = 14 is your answer.
Valerie has 2 envelopes in each of her 3 drawers. Each envelope has 6 stickers. How many stickers does she have in all?
Answer:
36
Step-by-step explanation:
2 envelopes x 3 drawers = 6 envelopes.
Each envelope has six stickers.
6 x 6 = 36
Answer:
36
Step-by-step explanation:
the rationale underlying the use of projective personality tests, such as the rorschach test and the thematic apperception test, is that they
The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.
The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.
The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.
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3 less than the quotient of a number y and 4
Expression:
When y = 20, the value of the expression is
Please help ASAP!!
Step-by-step explanation:
3 less than the quotient of a number y and 4
= y/4 - 3.
When y = 20, y/4 - 3 = 20/4 - 3 = 2.
a study using the pretest-posttest design was conducted to determine the effect of regular strenuous physical exercise on students' grades. the researchers randomly divided the participants into an experimental and a control group. the study was designed for a period of 12 months with 100 students in each group. after 6 months, only 40 participants remained in the experimental group. the results obtained at the end of the study were faulty. in this scenario, the faulty results can most likely be attributed to
It is important for researchers to carefully consider these factors when designing studies and analyzing data to ensure that their results are accurate and reliable.
Small Sample Size: With only 40 participants remaining in the experimental group after 6 months, the sample size may have been too small to detect any significant differences between the experimental and control groups.
Sampling Error: Even with random assignment to groups, there is always a chance that the groups will differ on some important characteristic that could affect the results.
Statistical Power: The statistical power of a study refers to its ability to detect a true effect if one exists. With a small sample size, the statistical power of the study may have been too low to detect any real differences between the groups.
Data Analysis: The way in which the data was analyzed could have influenced the results. For example, if the researchers used an inappropriate statistical test or did not correct for multiple comparisons, it could have led to faulty results.
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Theo started to solve the quadratic equation (x+2)^2-9=-5. he added 9 to both sides and the resulting equation was (x+2)^2=4. next he took the square root of each side which was the resulting equation of that step
Theo simplified the quadratic equation \((x+2)^{2}\)-9=-5 by adding 9 to both sides, resulting in \((x+2)^{2}\)=4. In the next step, he took the square root of each side.
To solve the quadratic equation \((x+2)^{2}\)-9=-5, Theo began by adding 9 to both sides of the equation to eliminate the -9 term. This step allows him to isolate the squared term on one side, resulting in \((x+2)^{2}\)=4.
Theo then proceeded to take the square root of both sides to find the values of x. Taking the square root of \((x+2)^{2}\) yields two possibilities: x+2=2 and x+2=-2. By solving each equation separately, Theo finds the possible solutions.
For x+2=2, he subtracts 2 from both sides to get x=0. This is one solution.
For x+2=-2, he subtracts 2 from both sides to get x=-4. This is the other solution.
Therefore, the final solution to the quadratic equation \((x+2)^{2}\)-9=-5 is x=0 and x=-4. These are the values that satisfy the equation and make it true.
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Divide the fractions and reduce to lowest terms: 2/5÷3/12
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
Given the functions, f ( x ) = x2 + x - 5 and g ( x ) = 4 x2 - 2 x + 1, perform the indicated operation. When applicable, state the domain restriction. ( f - g )( x )
Answer:
(f-g)(x) = - 3 x² + 3 x -6
Step-by-step explanation:
Explanation:-
Given function f(x) = x² + x - 5
g(x) = 4 x² - 2 x + 1
(f-g)(x) = f(x) - g(x)
= x² + x - 5 - (4 x² - 2 x + 1)
= x² - 4 x² + x + 2 x - 5 -1
= - 3 x² + 3 x -6
(f-g)(x) = - 3 x² + 3 x -6
Question 6 (4 points) Three people use the following procedure to divide a (perfectly divisible and homogenous) cake. Player 1 first divides the cake into two pieces. Next, player 2 selects one of the two pieces. Player 1 gets the other share, while player 2 must now divide the piece he or she picked. Finally, player 3 chooses one of the two pieces that player 2 just created, and player 2 consumes what remains. Suppose that each player cares only about the size of the piece of cake he or she ultimately obtains. Compute the subgame perfect Nash equilibrium (please provide complete strategies, not just the equilibrium payoffs).
The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.
The subgame perfect Nash equilibrium and complete strategies are as follows:
First subgame: Player 1 splits the cake into two pieces. Player 1 takes the smaller of the two pieces, while Player 2 takes the larger. Next, Player 2 divides the larger piece into two. Player 2 chooses the piece that is equal in size to the smaller piece of the initial division. Player 2 gives the other piece to Player 3, who must now select one of the two pieces. If Player 3 selects the smaller piece, Player 2 will obtain the larger of the two pieces that Player 2 divided, which is greater than or equal in size to the piece Player 2 gave to Player 3. As a result, Player 3 chooses the larger of the two pieces. Therefore, the subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.Learn more about Nash equilibrium:
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9.Set R= {a, b, c}. Find the number of subsets in set R.
(4 Points)
Given:
The set is:
\(R=\{a,b,c\}\)
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of \(n\) elements is
Number of subsets = \(2^n\) ...(i)
We have,
\(R=\{a,b,c\}\)
Here, the number of elements are 3. Putting \(n=3\) in (i), we get
Number of subsets = \(2^3\)
= \(8\)
Therefore, the number of subsets is 8 and the subsets are \(\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}\) and \(\{a, b, c\}\).
5 - Which statement best explains whether the equation y equals one half times x minus 2 represents a linear or nonlinear function?
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are not on a straight line.
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.
Step-by-step explanation:
the 3rd answer option is correct.
both x and y appear only with the exponent 1, so, this function is a line and therefore a linear function.
the other answers are nonsense. the specified points do NOT lie on the functional line (or are NOT contained by the graph of the function).
Please this one
Tickets cost $45 per person at the hockey arena. Beth is going to the game with her dad her sister and her friend they also charge a 6% sales tax her dad is buying the tickets for all of them how much money does he have to pay
FOR 21 POINTS
A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.
How many unique triangles can you draw like this?
Answer:
One
Step-by-step explanation:
Since we have a 90° angle and a 20° angle, the last angle must be 70°.
180° - 90° - 20° = 70°
Now we also have the requirement of a 6-unit side between the 90° and 20° angles.
With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.
Please help me! Please no guesses and explain how you got the answer. I've reviewed the lesson but I don't understand the question and the lesson doesn't clear up anything.
The functions f(x) = x2 – 1 and g(x) = –x2 + 4 are shown on the graph.
The graph shows f of x equals x squared minus 1, which is an upward opening parabola with a vertex at 0 comma negative 1 and a point at negative 1 comma 0 and a point at 1 comma 0. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 4 and a point at negative 1 comma 3 and a point at 1 comma 3.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 1
y ≤ –x2 + 4
Answer:
We will need to shade the region above f(x) and the region below the function g(x).
How to transform the graph into the solution set?
We have:
f(x) = x^2 - 1
g(x) = -x^2 + 4
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.
What is x^3 pls help
Answer:
its x^3 or 1
Step-by-step explanation:
there's nothing else you can do with it
also it might be 1 because x by itself is 1 so x^3 is considered 1^3
John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. Find the total number of pages in the novel.
Answer:
The novel has 117 pages
Step-by-step explanation:
Let p be the pages in the novel
p − 3 = 114
p = 117
Answer:
351
Step-by-step explanation:
114 = p/3 - 3
p/3 = 117
p = 351 page
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (^o^)If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay
Answer:
90 minus 10 is 80 so $80 left
Can someone help with this please?
According to the Synthetic Division, the Quotient is equal to 7x² -4x + 5 and the Remainder is equal to 8.
Synthetic Division: What is it?Synthetic division can divide two polynomials more quickly than the standard long division algorithm.
With this method, the dividend and divisor polynomials are reduced to a set of numerical numbers.
Given:
(7x³-25x² +17x -7) ÷ (x-3).
So, Synthetic Division for this is as follows:
(x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5
7x³-21x²
_________
-4x² + 17x
-4x² + 12x
_______________
5x - 7
5x - 15
________
8
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A line has a slope of - Which ordered pairs could be points on a parallel line? Select two options.
(-8, 8) and (2, 2)
(-5, -1) and (0, 2)
(-3, 6) and (6,-9)
(-2, 1) and (3,-2)
(0, 2) and (5, 5)
The ordered pairs that could be points on a parallel line are:
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
Which ordered pairs could be points on a parallel line?Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.
We have:
slope of the line is -3/5.
Thus, m = -3/5
Formula for slope between two coordinates is;
m = (y₂ - y₁)/(x₂ - x₁)
A) At (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
m = -6/10
m = -3/5
B) At (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
m = 3/5
C) At (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
m = -15/9
m = -5/3
D) At (–2, 1) and (3, –2);
m = (-2 - 1)/(3 - (-2))
m = -3/5
E) At (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
m = 3/5
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Assume all vectors are in R" Mark each statement True or False. Justify each answer a. Not every orthogonal set in R" is linearly independent A Every orthogonal set of nonzero vectors is linearly independent but not every orthogonal set is linearly independent. B Orthogonal sets with fewer than n vectorsin Rare not linearly independent C. Every orthogonal set of nonzero vectors is linearly independent and zero vectors cannot exist in orthogonal sets D. Orthogonal sets must be linearly independent in order to be orthogonal
For orthogonal set the answers are for vector values: a) False b) False c) True d) True
a. Not every orthogonal set in\(R^n\)is linearly independent
- False. Every orthogonal set of nonzero vectors is linearly independent. Orthogonal vectors are perpendicular to each other, meaning their dot product is zero. This implies that no vector in the set can be represented as a linear combination of the others, making the set linearly independent.
b. Orthogonal sets with fewer than n vectors in\(R^n\)are not linearly independent
- False. Orthogonal sets with fewer than n vectors in \(R^n\)can still be linearly independent, as long as no vector in the set can be represented as a linear combination of the others.
c. Every orthogonal set of nonzero vectors is linearly independent, and zero vectors cannot exist in orthogonal sets
- True. As explained earlier, every orthogonal set of nonzero vectors is linearly independent. Additionally, zero vectors cannot exist in orthogonal sets because an orthogonal set with a zero vector would not satisfy the condition of all vectors being mutually orthogonal.
d. Orthogonal sets must be linearly independent in order to be orthogonal
- True. For a set to be orthogonal, all of its vectors must be mutually orthogonal (perpendicular), meaning their dot products are zero. This ensures that no vector in the set can be represented as a linear combination of the others, making the set linearly independent.
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you buy a rare stamp for $50. each year the value of the stamp increases by 1.2%. write an equation that represents the value of the stamp, and then find the value of the value of the after 10 years
An equation that represents the value of the stamp is V(t) = V₀ * (1 + r)ˣ
The value of the stamp after 10 years would be approximately $56.34.
First, let's denote the initial value of the stamp as V₀ and the number of years as t. In this case, V₀ is equal to $50. The annual increase rate is given as 1.2%, which can be expressed as 0.012 in decimal form.
Now, we can start building the equation. Since the value of the stamp increases every year, we need to add the rate of increase to the previous year's value. Mathematically, this can be represented as:
V(t) = V₀ + (V₀ * r) + (V₀ * r) + ... + (V₀ * r)
Here, V(t) represents the value of the stamp after t years, and r represents the rate of increase (0.012 in decimal form).
Since the rate of increase remains constant at 1.2% each year, we can simplify the equation using exponential notation:
V(t) = V₀ * (1 + r)ˣ
Now we have an equation that represents the value of the stamp after t years, where V₀ is the initial value ($50), r is the rate of increase (0.012), and x is the number of years.
To find the value of the stamp after 10 years, we substitute t = 10 into the equation:
V(10) = $50 * (1 + 0.012)¹⁰
Calculating this equation will give us the value of the stamp after 10 years. Let's perform the calculation:
V(10) = $50 * (1.012)¹⁰
V(10) ≈ $50 * 1.1268250301
V(10) ≈ $56.34
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What is the exponential form of 5184?
Answer:
The exponential form of 5184 is 5184
In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 5184. The exponential form is simply the number with exponents.
what is the distance of the hyperplane (5 3x1 4x2 = 0) to the origin?
The distance between the hyperplane (5 + 3x1 + 4x2 = 0) and the origin is 1.
To find the distance between a hyperplane and the origin, we can use the formula for the distance between a point and a plane.
In this case, the hyperplane is defined by the equation 5 + 3x1 + 4x2 = 0.
To find the distance between the hyperplane and the origin, we can substitute the coordinates of the origin (0, 0) into the equation of the hyperplane and calculate the absolute value of the result:
Distance = |5 + 3(0) + 4(0)| / √(3^2 + 4^2)
= |5| / √(9 + 16)
= 5 / √25
= 5/5
= 1
Therefore, the distance between the hyperplane (5 + 3x1 + 4x2 = 0) and the origin is 1.
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17.2(20+45)-3/4 (12)
Answer:
17•2×65 - 3/4×12
1118 - 36/4
1118 - 9
1109
Answer:
1109
Step-by-step explanation:
I put it here, cause didnt see the answer box until now,
but, this is the answer
The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the isosceles triangle?
Answer:
6 times 16 equals 96 divided by 2 (or half) equals 48
Step-by-step explanation:
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What is the minimum score you would need to be in the top 7%? 0.93 1.48 85.4 81.4
the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.
First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.
Next, we can use the formula for transforming a z-score to a raw score:
raw score = z-score * standard deviation + mean
Substituting the values given in the problem, we get:
raw score = 1.48 * 6.1 + 76.4
raw score = 85.48
Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.
In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.
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Solve for the value of k. (k+8) 400
Answer: The answer to this math question about solving for the value of k with the given full of the angles is k = 6.
Step-by-step explanation: As always to remember, all of the forming angles to a straight line with a sum of 180 degrees, so anyways, here are 6 steps in order to solve for the value of k:
Step 1. First, let's find the measures of the value of all 3 angles, the measures of all 3 angles are, 8°, 90°, and 40° that looks in the equation form like this: \(7k + 8 + 90 + 40 = 180.\)
Step 2. Next, after finding the measures of the value of all 3 angles, it's time to add all 3 angles up together that looks in the equation form like this: \(7k + 138 = 180.\)
Step 3. Then, let's move positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side that looks in the equation form like this: \(7k = 180 - 138.\)
Step 4. In addition to that, after moving positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side, it's time to subtract 138 degrees and 180 degrees that looks in the equation form like this: \(7k = 42.\)
Step 5. Now last but not least is finally, after subtracting 138 degrees and 180 degrees, it's time to divide the both sides by 7 that looks in the equation form like this: \(\frac{7k}{7}=\frac{42}{7}.\)
Step 6. Hence the value of k is 6.
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for the value of k with the given full of the angles, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and a great weekend! :D
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The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Find the smaller angles between the hour hand and the minute hand of a clock at half past 8
The angle of half past eight between the hour and minute hands of a clock is 255°.
Given that,
We have to find look for the smaller angles half past eight between the hour and minute hands of a clock.
We know that,
The clock is in circle.
A clock has 12 different parts. Between any two divisions, there is a 30° angle. Each division is then divided into 5 equal pieces, each of which is divided by an angle of 60° and equals 1 minute.
We know the total angle of the circle is 360°.
So, 12 hours is 360°.
Then 1 hours is
1 hour= 360/12=30°
So, 1 hour is 30°
60mins=1 hour
60 mins = 30°
1 min =30/60
1 min=1/2
So,
8 hour and 30 min
(8× 1 hour)+( 30×1 min)
(8×30)+(30×1/2)
240+15
255°
Therefore, The angle of half past eight between the hour and minute hands of a clock is 255°.
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Find the exact value of each expression. (Enter your answer in radians.)
(a) sinâ¹(â3/2)
b) cosâ¹(2/2)
The expression sinâ¹(â3/2) is undefined. The value of cosâ¹(2/2) = 0 radians.
In the expression sinâ¹(â3/2), Since the sine function is only defined for angles between -π/2 and π/2, we cannot find an angle with a sine of -â3/2. Therefore, the expression is undefined.
In the expression cosâ¹(2/2), since the cosine of an angle is equal to the adjacent side over the hypotenuse in a right triangle, we can draw a right triangle with adjacent side 2 and hypotenuse 2. Using the Pythagorean theorem, we find that the opposite side has length 0.
Therefore, we have a right triangle with adjacent side 2, opposite side 0, and hypotenuse 2. This means that the angle we are looking for is a zero-degree angle, or 0 radians. Therefore, cosâ¹(2/2) = 0 radians.
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27 is 30% of what number?
A 8585
B 9292
C 1212
D 90
Answer:
27 is 30% of what number?
D. 90
Step-by-step explanation:
You're welcome.