1. What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
2.
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
Answers
Related Questions
a line segment has endpoints (4,7) and (1,11).what is the length of the segment
Answers
x1 for 4, y1 for 7, x2 for 1, y2 for 11
2. put them together. D= Square root (1-4)^2 + (11-7)^2
3. D= square root (-3)^2 +(4)^2
4. D= Square root 9+16
5. D= square root 25
6. D= -5
If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then it has two angles of equal measure
Conclusion:
If a triangle is an isosceles triangle, then it has two angles of equal measure.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of syllogism.
The argument is not valid because the premises are not true.
The argument is valid by the law of detachment.
Answers
we know that
The Law of Syllogism says that if the following two statements are true:
(1) If p -------> then q .
(2) If q-------> then r .
Then we can derive a third true statement:
(3) If p--------> then r .
In this problem
(1) If a triangle is an isosceles triangle, then it has two sides of equal length
(2) If a triangle has two sides of equal length, then it has two angles of equal measure
Let
p-------> the statement " an isosceles triangle"
q--------> the statement " has two sides of equal length"
r---------> the statement "has two angles of equal measure"
Then (1) and (2) can be written
1) If p , then q .
2) If q , then r .
So, by the Law of Syllogism, we can deduce
3) If p , then r
or
If a triangle is an isosceles triangle, has two angles of equal measure
therefore
the answer is
The argument is valid by the law of syllogism.
Write what the expressions below best represent within the context of the word problem
How many quarts of water must be added to 4 quarts of an 80% mixture to obtain a 50% mixture?
x represents quarts of water to be added to the ____% mixture.
x + 4 represents the total quarts of the mixture at ____%.
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first one is 80%
second one is 50%
1st. is 80%
2nd. is 50%
MATH HELP PLEASE!!!!
Answers
1. any number times2 then subtracted by the same number can't = 0 , so it is Null Set
2. 2^2 = 4 +12 = 16, 8*2 = 16, answer is 2
Need help quickly ???????!?
Answers
2x = 4y + 6. Then you divide everything by 2
x = 2y + 3.
To start off, if they want us to solve for "x", let's start off by adding 4y to both sides. After you simplify it, the equation is: 2x = 4y+6.
To then get "x" by itself, simply divide "x" by two to both sides. After doing that, the equation simplified is: x = 2y + 3 which is letter D.
Hope this helps!
May
Assume that a randomly selected subject is given a bone density test. those test scores are normally distributed with a mean of 0 and a standard deviation of 1. find the probability that a given score is less than 1.66 and draw a sketch of the region.
Answers
μ = 0, the population mean
σ = 1, the population standard deviation
For the random variable x = 1.66, the z-score is
z = (1.66 - 0)/1 = 1.66
From standard tables,
P(x < 1.66) = 0.952
Answer:
0.952 or 952%
The area (probability) is shown in the figure.
True or False:
The domain of the composite function (f◦g)(x) is the same as the domain of g(x).
Answers
The statement is false. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). It includes only the values of x for which both g(x) and f(g(x)) are defined.
Explanation:The statement is False. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). In a composite function (f◦g)(x), the domain includes only the values of x for which both g(x) and f(g(x)) are defined.
For example, if g(x) = sqrt(x) and f(x) = 1/x, the domain of g(x) would be all real numbers x ≥ 0, but the domain of the composite function (f◦g)(x) = 1/sqrt(x) would be x > 0, because 1/sqrt(x) isn't defined for x = 0.
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Farmer jinzhou has 300 feet of fencing to enclose two identical rectangular pens that share a common fence. what are the dimensions of the pens that make their areas as large as possible? if x represents the length of the enclosure, what is the domain in the context of this situation?
Answers
Let the length of one of the three sides of the same length be x, then the length of one of the two sides of the same length is [tex] \frac{1}{2} (300-3x) [/tex].
The entire stucture is a stack of two identical rectangles which is also rectangular in shape.
The area of a rectangle is given by length times width. i.e.
[tex]Area= \frac{1}{2} x(300-3x)=150x- \frac{3}{2} x^2[/tex]
For maximum area, the derivative of the area with respect to x equals zero.
[tex] \frac{d}{dx} (Area)=150-3x=0 \\ \\ \Rightarrow3x=150 \\ \\ \Rightarrow x= \frac{150}{3} =50[/tex]
The length of one of the two sides of equal length is [tex]\frac{1}{2} (300-3(50))=\frac{1}{2}(150)=75[/tex]
Therefore, the dimensions of each pen that will make their areas as large as possible is 50 ft by 37.5 ft
Which ordered pair is a solution to this equation?
2x+6y=10
A (12, 2)
B (4, 1)
C (3, 1)
D (2, 1)
Answers
Simplify 5 to the second power
Answers
What is the solution set to the equation (2x−4)(4x−5)=0
Answers
Answer:
[tex]\left \{ 2,\frac{5}{4} \right \}[/tex]
Step-by-step explanation:
We know that for equation of type [tex](x-a)(x-b)=0[/tex], solutions are [tex]x=a\,,\,x=b[/tex] as both points x = a and x = b satisfy the equation (x-a)(x-b)=0
Given : equation (2x−4)(4x−5)=0
To find : Solution set of this equation .
Solution :
On dividing this equation by 2 and 4, we get
[tex]\left ( \frac{2x-4}{2} \right )\left ( \frac{4x-5}{4} \right )=0\\\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0[/tex]
On comparing equation [tex]\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0[/tex] with [tex]\left ( x-a \right )\left ( x-b \right )=0[/tex], we get [tex]a=2\,,\,b=\frac{5}{4}[/tex]
Therefore, solution set is [tex]\left \{ 2,\frac{5}{4} \right \}[/tex]
Final answer:
The solution set to the equation (2x−4)(4x−5) = 0 is {2, 5/4}.
Explanation:
The equation (2x−4)(4x−5) = 0 represents a quadratic equation. To solve this equation, we can set each factor equal to zero and solve for x. So we have:
2x - 4 = 0, which gives x = 2
4x - 5 = 0, which gives x = 5/4
Therefore, the solution set to the equation is {2, 5/4}.
Please help with these questions thank you.
Answers
1. 2 and 7 are equal
2. angle 1 = 68 degrees
3. 1st answer
What is the value of n in the numerical sentence below?
√16 ÷ 4³ = 4ⁿ
n = ?
Answers
see attachment for calculation.
Gary is looking over his receipts from his trip to Europe. When he was in Germany, he exchanged US dollars for euros at a rate of 1:0.7716, and when he was in Poland, he exchanged euros for Polish zloty at a rate of 1:4.0518. To four decimal places, what was the exchange rate of US dollars to Polish zloty?
Answers
The euros to Polish is 1:4.0518
0.77 4.05 0.77 1 0.77
----- / --------- = ------- x ---- = ------
1 1 1 4.05 4.05
(so for every 0.77 dollars it is 4.05 zolty.)
hope this helps
sorry if it is confusing
For anyone who still needs it, the answer is 1:3.1264.
Plz halp. I just need #20, and please write out the equation so I know how to do it for future problems, thanks!
Answers
Hope this help!
Have a Great day mate !!
Let x1, . . . , xn be independent exponential random variables having a common parameter λ. determine the distribution of min(x1, . . . , xn)
Answers
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
The distribution of min(x1, . . . , xn) for independent exponential random variables with common parameter λ is given by the exponential distribution with parameter λ*n.
Explanation:The distribution of min(x1, . . . , xn) for independent exponential random variables with common parameter λ is given by the exponential distribution with parameter λ*n.
To determine this, we can use the fact that the minimum of a set of random variables is less than or equal to a given value if and only if each of the individual random variables is less than or equal to that value. So, we can find the cumulative distribution function (CDF) of the minimum by raising the CDF of each individual exponential random variable to the power of the number of variables in the minimum. The resulting distribution is an exponential distribution with parameter λ*n.
The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?
a.
An account earning no interest
b.
An account earning simple interest
c.
An account earning interest compounded annually
d.
An account earning interest compounded daily
Answers
There are two types of interest, simple interest and compound interest. The simple interest on a loan is usually paid over a certain period at a fixed percentage of the amount borrowed. Compound interest on the other hand can be describes as interest paid on interest. This is because, the calculation of compound interest involves adding the interest accrues on a loan to the principal and then calculating interest on the whole amount. The interest yielded is continuously added to the principal and new principal amount is generated every time the interest is added.
Obviously, it can be seen that calculating compound interest on a daily basis will yield the greatest amount of money compare to other options given.
Answer:
D
Step-by-step explanation:
What is the value of the expression? (−3)3+6312
Answers
-9+6312
6303
The answer is 6303. Hope this helps!
James is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, James places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis. What coordinates should he assign to the fourth vertex of the parallelogram? (2a, a) (2a, a2) (a2, 0) (2a, 2a)
Answers
is ur answer
hope this helps
Answer:-(2a,a) coordinates he should assign to the fourth vertex of the parallelogram.
Explanation:-
Let ABCD be the vertices of the given parallelogram such that A=(0.,0) , B=(a,0) , C(x,y) and D=(a,a)
Construct the diagonals AC and BD of parallelogram ABCD .
We know that diagonals of a parallelogram bisect each other.
⇒ mid point of AC= mid point of BD...(1)
Mid point of BD[tex]=(\frac{a+a}{2},\frac{0+a}{2})=(\frac{2a}{2},\frac{a}{2})=(a,\frac{a}{2})[/tex]........(2)
Mid point of AC[tex]=(\frac{0+x}{2},\frac{0+y}{2})=(\frac{x}{2},\frac{y}{2})[/tex]......(3)
Substitute (2) and (3) in (1), we get
[tex](\frac{x}{2},\frac{y}{2})=(a,\frac{a}{2})\\\Rightarrow\frac{x}{2}=a;\frac{y}{2}=\frac{a}{2}[/tex]
[tex]\Rightarrow\ x=2a\ and\ y=a[/tex]
⇒C=(2a,a)
⇒ (2a,a) coordinates he should assign to the fourth vertex of the parallelogram.
m ∠ A = 100 - x
m ∠ B = 80 + x
m ∠ C = 110 - 3x
m ∠ D = 75 + 2x
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
A) x = 5
B) x = 7
C) x = 10
D) x = 15/2
Answers
100 - x = 110 - 3x
100 + 2x = 110
2x = 10
x = 5
m<A = 100 - x = 100 - 5 = 95
m<C = 110 - 3x = 110 - 3 * 5 = 110 - 15 = 95
Opposite angles A and C are congruent.
Now we need to check opposite angles B and D.
m<B = 80 + x = 80 - 5 = 75
m<D = 75 + 2x = 75 + 2 * 5 = 75 + 10 = 85
Opposite angles B and D are also congruent.
Answer: x = 5
Question 2(Multiple Choice Worth 15 points) (04.03 LC) Which of the following options results in a graph that shows exponential growth?
f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x
Answers
The answer is: [C]: " f(x) = 0.7(5)ˣ " .
_________________________________________________________
Explanation:
_________________________________________________________
From all the answer choices given;
Answer choice: [C]: " f(x) = 0.7 (5)ˣ " ; is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .
________________________________________________
How I solved this: Further Explanation:
________________________________________________
A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.
Answer:
The answer is: [C]: f(x) = 0.7(5)ˣ
Step-by-step explanation:
If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/ 8p^2q^2
Answers
I did this question already. The answer is 2
Explain how to determine if these two are the same function expressed in different ways
Answers
Answer:
Sample Answer:
When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
Step-by-step explanation:
Answer:
When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
Step-by-step explanation:
What value of k makes the statement true? xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k =
Answers
The answer is "1".
Answer: Answer is 1
Step-by-step explanation:
edge
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over?
Answers
How did I get this?
First lets calculate how many bowls can we glaze.
5 bowls * 7/8 of a pint = 4.375 pints
4.375 = how many glaze we will need to make 5 bowls.
6 pints - 4.375pints = 1.625 pints left over after we glaze the bowls.
Now, we need to figure out how many plates we can make with 1.625 glaze.
P X 9/16 = 1.625
Multiply both sides by 16/9 to isolate the variable.
P = 1.625*16/9
P = 2.88 plates
So, we can only glaze 2 plates.
How many glaze is left over?
First, how many glaze did we have left over from the bowls? 1.625 glaze
Then, how many plates did we make? 2 at .5625 each = 1.125 glaze
1.625 - 1.125 = .50 glaze left over.
The answer is 2 plates and .50 glaze left over.
2 plates can be glazed and 0.50 glaze will be left over.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total bowls= 5
fraction of pint to glaze bowl= 7/8
So, pint to glaze 5 bowls
= 5 bowls x 7/8 of a pint
= 4.375 pints
and, left over after glazing the bowls.
= 6 pints - 4.375pints
= 1.625
Now, we know to glaze plate pint used= 9/16
So, number of plates will be = 1.625 x 16/9
= 2.88 plates
Thus, we can only glaze 2 plates.
Also, glaze left over
= 1.625 - 1.125
= 0.50 glaze left over.
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Item 15 A square wrestling mat has a perimeter of (12x−32)(12x−32) feet. Write an expression in simplest form that represents the side length (in feet) of the mat.
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Please Help!
Which is true about the domain and range of a function in the form f(x) = m, where m is a real number greater than 0?
The only value that must be in both the domain and range is 0.
The only values that must be in both the domain and range are 0 and 1.
There are no values that are in the domain and the range.
There is an infinite number of values that are in both the domain and range.
Answers
Answer:
infinite number of values in domain and range
Step-by-step explanation:
need points for finals
For a function of the form f(x) = m, the domain is all real numbers and the range is the single real number m. Thus, there are no values that are in both the domain and the range.
Explanation:In a function of the form f(x) = m, where m is a real number greater than 0, the domain encompasses all real numbers since there are no restrictions on any values of x that would make the function undefined. Since the function gives the same result (m) regardless of what x is, f(x) remains constant. Thus, the range only contains one real number, which is m.
The correct option from the ones given, therefore, is: There are no values that are in the domain and the range. This is because the domain contains all real numbers, while the range contains only one number (m), and these sets do not overlap.
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Sean used 3/4 cup of sugar to make a dozen brownies. How much sugar is in each brownie
Answers
.75/12=.0625 which is equivalent to 3/48=1/16
Sean used 1/16 cups of sugar for each brownie
Sean used 3/4 cups of sugar to make 12 brownies. By dividing 3/4 by 12, we find that there is 1/16 cup of sugar in each brownie.
Explanation:The subject of this problem is mathematics, specifically, it's about division in the context of fractions. In this scenario, Sean used 3/4 cups of sugar to make a dozen (12) brownies. To determine the amount of sugar in each brownie, we can divide the total amount of sugar by the total number of brownies.
So, 3/4 divided by 12 is 1/16. This means that there is 1/16 cup of sugar in each brownie.
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help please
Find the volume of a pyramid with a square base, where the perimeter of the base is 5.5 m and the height of the pyramid is 2.9 m. Round your answer to the nearest tenth of a cubic meter.
Answers
V= ⅓[ (5.5÷4)² × 2.6]
v= ⅓[ 4.92]
v = 1.6m³
In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.
Answers
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