Answer:
Simplify the matrix.
2√5=3=3,31,1,−3.5
Step-by-step explanation:
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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The equation c = 0.25n can be used to find the cost (c) of buying n number of apples.
A) What is the constant of proportionality in this equation?
B) What information does the constant of proportionality provide us?
C) How many apples can you buy for $3?
Be sure to answer A, B and C. Make sure that you label each answer.
PLEASE HELP ME!
Answer:
a) Constant of proportionality = 0.25
b) The constant of proportionality provides the cost of one apple.
c) n = 12
Step-by-step explanation:
It is given that:
c = 0.25n
a) Here,
c = cost of apples
n = number of apples
As the proportion varies directly.
c ∝ n
c = kn
Comparing the equations
k = 0.25
b) The constant of proportionality provides the cost of one apple.
c) Putting c = $3
3 = 0.25n
Dividing both sides by 0.25
n = 12
Thus,
a) Constant of proportionality = 0.25
b) The constant of proportionality provides the cost of one apple.
c) n = 12
The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the original pulp (x). Under controlled conditions, a pilot plant manufactures 16 samples, each from differential batch of pulp, and measures the tensile strength. Determine if there is significance relationship between x and y.
y = 101, 117, 117, 106, 132, 147, 147, 134, 111, 123, 125, 145, 134, 145, 144, 146.9
x = 1.0, 1.5, 1.5, 1.5, 2.0, 2.0, 2.2, 2.4, 2.5, 2.5, 2.8, 2.8, 3.0, 3.0, 3.2, 3.3
Answer:
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
P-value = 0.003.
Step-by-step explanation:
If we perform a regression analysis relating x and y, we get the best fitting line with equation:
\(y=15.82x+92.9\)
and a correlation coefficient r:
\(r=0.693\)
We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).
This can be written as:
\(H_0: \rho=0\\\\H_a:\rho\neq0\)
where ρ is the population correlation coefficient for x and y.
The significance level is assumed to be 0.05.
The sample size is n=16.
The degrees of freedom are df=14.
\(df=n-2=16-2=14\)
The test statistic can be calculated as:
\(t=\dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}=\dfrac{0.693\sqrt{14}}{\sqrt{1-(0.693)^2}}=\dfrac{2.593}{0.721}=3.597\)
For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:
\(\text{P-value}=2\cdot P(t>3.597)=0.003\)
The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
Multiply 4/5 by 10 , and then multiply that product by 17 .
Answer:
your answer is 406.
Step-by-step explanation:
4/5 x 10 will equal to 8. 8 times 17 equals 406.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Which of the following sets of interior angle measures can form a triangle?
Select all that apply.
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
pleaseee helppp
As per the angle sum property, the interior angles that form the triangle is option
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
Angle sum property
Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.
Given,
Here we have the list of interior angles
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
Now, we have to find in which for these angle will form the tringle.
As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.
Based on these we have to verify each of the given interior angles,
A) 45 + 45 + 45 = 135
B. 60 + 60 + 60 = 180
C. 40 + 50 + 90 = 180
D. 30 + 60 + 90 = 180
E. 90 + 90 + 45 = 225
F. 90 + 90 + 90 = 270
Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.
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Write the composition of translations as one translation:
Answer:
sum like dat
Step-by-step explanation:
is a combination of two or more ... lines has the same effect as a translation (twice the distance between the parallel lines).
One card is selected at random from a deck of cards.
Determine the probability that the card selected is a red card and a black card.
Answer:
Probability that it is a red card: 50%
Probability that it is a black card: 50%
Step-by-step explanation:
You have an even probability of getting a red card or a black card. This is true because there are an even number of red cards and black cards. (25 or 26 of each, depending on if you include jokers.) Therefore, there is an even probability of getting a red card or a black card. It has to be 50%, because that is the only number in which two options can have equal numbers.
Hope this helps! :D
I am a 3 digit number All of my digits are even numbers greater than 1 My hundreds digit is greater than my tens digit My tens plus mu hundreds digit is equal to my ones digit you can get my tens digit if you multiply a number by 3. What number am I
HE hundred digit less than the tens digit ,the tens digit is has to 9 .This is because of 9is the only positive integer less than 10 and only it also greater than 8 in one digit numbers. result when 8 is subtracted from it.
What is meant by positive?When you have an optimistic outlook on life, you have optimism and confidence and focus more on the positives than the negatives.
Be optimistic about the future and carry on with your normal life.
A positive person chooses to focus on the positive aspects of their life, finds delight in the little things, and adopts the mindset that while there are many things outside of their direct control, they can select what they choose to give their attention to.
According to one idea, having a positive outlook makes it easier for you to handle stressful situations, which lessens the negative consequences of stress on your body's health.
we already know that ones digit is 5 less than the tens digit, so it is 9-5=4,and the hundreds digital has to be 1, so the answer is 194.
so, let we can solve it as by the problem,
by the problem
units will be considered as a x
ok
x greater than or equal 9
tens digit digit is more than 5 units
we know that,
so, tens digit value is 9
hundreds digit value is 1
let we find ones digit value x+5<=9
x<=4
hundreds digit is less than
x+5
x+5-8>=0
x-3>=0
x>=3
>3=4
thus the x is 4
then the number is 194
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A house is sold for $195,000. The mortgage is $168,745.60 at 8%. Annual taxes are $3,893.25. The closing will occur on June 15. What are the total prorations for interest (for the full month) and for property taxes to the nearest $100? Will the prorations be added to, or subtracted from, the seller's equity?
The total prorations for interest and property taxes to the nearest $100 are:
Proration for interest: $517
Proration for property taxes: $1,754
To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.
First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):
Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94
Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):
Number of days = 15 - 1 = 14
Using the daily interest rate and the number of days, we can calculate the proration for interest:
Proration for interest = ($36.94 x 14) = $516.76
To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:
Daily property tax rate = $3,893.25 / 365 = $10.65
Next, we need to determine the number of days from the start of the year to the closing date (June 15):
Number of days = 165
Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:
Proration for property taxes = ($10.65 x 165) = $1,754.25
Therefore, the total prorations for interest and property taxes to the nearest $100 are:
Proration for interest: $517
Proration for property taxes: $1,754
These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.
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50 POINTS!!!
Luis had a piece of string that is 4 3/4 inches long, and Antwan has a piece that is 5 5/8 inches long. What is the total length of the string if the pieces are placed end to end
Pls help 25 points HELp HELP HELP PLEASE
The solution is, the value of x is, x = -3 or, x= -1.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
x+10 6 = 15
x-3 x
or, solving we get,
x(x+10) - (x-3)*6 = 15
or, x*2 + 10x - 6x + 18 = 15
or, x^2 + 4x+ 3 = 0
or, x^2 + 3x +x +3 = 0
or, (x+3) * ( x+1) = 0
or, x = -3 or, x= -1
Hence, The solution is, the value of x is, x = -3 or, x= -1.
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In the accompanying diagram of AABC, DE is parallel to BC. If AD = 3, DB = 6, and DE = 5, what is the length of BC?
Answer:
BC = 23.8
Step-by-step explanation:
Select the correct answer. Function h is a transformation of the parent exponential function, f(x)=2^x. h(x)=-3*2^x. Which statement is true? A. Function h is a reflection and a dilation of function f. B. Function h is a vertical translation of function f. C. Function h is a reflection and a translation of function f. D. Function h is a horizontal translation of function f.
The statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.
Given two functions f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).
We are required to find the statement which is true regarding the functions
f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).
Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as domain and the values that we get from the function are part of codomain.
The statement which is true about the function f(x) and h(x) is the statement given in third option which is that function h is a reflection and a translation of function f.
Hence the statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.
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The difference of a number 8 and 12 is three. Find the number.
Answer:
Step-by-step explanation:
Let the number be y,
y-8-12 = 3
y-20. = 3
y. =. 20+3
y =. 23
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Which list shows the numbers in order from least to greatest?
3ş, 37, 3.65
Answer:3,3.65,37
Step-by-step explanation:
What is 5 3/4 - 6 1/2
Answer:
-1 1/4
Step-by-step explanation:
1/2 - 2/4
5 - 6 = -1
3/4 - 2/4 = 1/4
-1 1/4
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If angle JOY and angle LOV form a vertical pair and m angle JOY=8x+15 and m angle LOV=4x+25 find the value of x.
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Can I multiply 252.004 by anything to get 252?
Answer:
0.99998412723
Step-by-step explanation:
basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252
I hope this helps!
Answer:
no,
Step-by-step explanation:
The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252
Write the equation, in standard form, of the parabola containing the following points: (0, 1), (1, 5), (2, 3). You must set up a system of three equations to get credit for this question.
The equation of the parabola for the given points is y = -3x² + 7x + 1
Equation of the parabola
The standard form of the equation of a parabola is expressed as
y = f(x) = ax² + bx + c
where a, b, and c are constants and a ≠ 0.
Given,
Here we have the points (0, 1), (1, 5), (2, 3).
Now, we have to find the equation of the parabola.
Here we are given three coordinates (0, 1), (1, 5), and (2, 3) which lie on the parabola and which means that it satisfies the parabolic equation.
In order to find the values of a, b and c we need to formulate three equations using the three given points.
Since for the three unknowns a, b, and c, we will require three equations.
For that we have to take the Point (0,1) i.e. x = 0 and y = 1
Substituting the values of x and y in the standard parabola equation, then we get,
1 = a(0)² + b(0) + c
1 = 0 + 0 + c
c = 1 -------------------(1)
Next, we have to take the Point (1, 5) i.e. x = 1 and y = 5
Substituting the values of x and y in the standard parabola equation, then we get,
5 = a(1)² + b(1) + c
5 = a + b + c
It can be written as,
a + b + c = 5 -----------------------------(2)
Finally, we have to take the Point (2, 3) i.e. x = 2 and y = 3
Substituting the values of x and y in the standard parabola equation, then we get,
3 = a(2)² + b(2) + c
3 = 4a + 2b + c
It can be written as,
4a + 2b + c = 3 -----------------------------(2)
Apply the value of c as 1 in equation (2), then we get,
a + b + 1 = 5
a + b = 4 ---------------------(4)
Similarly, apply the value of c on the equation (3), then we get,
4a + 2b + 1 = 3
4a + 2b = 2
Divide the equation by 2 on both sides, then we get,
2a + b = 1 --------------------(5)
Subtract equation (5) from equation (4),
(2a - a) +(b - b) = 1 - 4
a = -3
Apply the value of a in the equation (4) to get the value of b,
(-3) + b = 4
b = 7
Therefore, the equation of the parabola is
y = -3x² + 7x + 1
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Please see attached picture.
Need help answering.
In the given graph, the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
To find the equation of the quadratic function, we start by using the vertex form:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:
\(y = a(x - 4)^2 - 2\)
Next, we use the other two points to find two additional equations:
\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)
Simplifying these equations, we get:
\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)
So the equation of the quadratic function is:
\(y = (1/2)(x - 4)^2 - 2\)
Now, we can answer the questions:
The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:
\(y = (1/2)(0 - 4)^2 - 2 = 6\)
So the y-intercept is (0,6).
To find the x-intercepts, we set y = 0 in the equation:
\(0 = (1/2)(x - 4)^2 - 2\)
Simplifying, we get:
\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)
So the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
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Natasha is assigned the task of creating a few auxiliary views of certain objects. She wants to project a view onto a plane that is perpendicular to one of the principal planes of projection. Which type of auxiliary view should she use?
Given
Natasha is assigned the task of creating a few auxiliary views of certain objects. She wants to project a view onto a plane that is perpendicular to one of the principal planes of projection.
Find
Which type of auxiliary view should she use?
Explanation
as she wants to project a view onto a plane that is perpendicukar to one of the principal planes of projection.
so , she will use Primary Auxiliary view
Final Answer
So, She use Primary Auxiliary view
Need help will give 15 points!!
Answer:cool
Step-by-step explanation:
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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What is the Square root of 3664?
Answer:
60.5
Thanks!
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help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-40u+24x+24
Step-by-step explanation:
Distribute, the -8 times all the numbers inside the parenthesis, and simplify
I’m going by graphic presents Under graduate majors of 150 last year ends. You’re the graph to tell me which undergrad majors are less common among the 150 students in history
Undergraduate Majors for Law Students (150)
We need to determine which undergraduate majors are less common among the 150 law students than history.
As we can see in the graph, History has 10 students. The only two majors that have less than 10 students are Communications and Classics
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
Help pls quick! pls and ty
Answer:
All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(
Step-by-step explanation: