Answer:
m∠DEF = 127°
Step-by-step explanation:
Length of arc is double the inscribed angle formed by two chords or secants meeting at a point on the circle,
By this property,
Measure of Inscribed angle ∠DEF = \(\frac{1}{2}(arc FGD)\)
(6x + 37) = \(\frac{1}{2}(19x-31)\)
12x + 74 = 19x - 31
19x - 12x = 74 + 31
7x = 105
x = 15
Therefore, m(∠DEF) = 6(15) + 37
= 90 + 37
= 127°
what is the x value when g(x)=1 PLS HELP
Answer:
I believe the answer is x=1.
Step-by-step explanation:
I am a bit confused on what is wanted, but g(x) is the x value on the line g. so when g(x)=1, I think x=1 on the line g.
if a is an n × n matrix having linearly independent eigenvectors v1, v2, . . . , vn, then the n × n matrix p = [ v1 v2 . . . vn ] T/F
True. If matrix A is an n × n matrix with linearly independent eigenvectors v1, v2, ..., vn, then the n × n matrix P = [v1 v2 ... vn] forms a matrix of eigenvectors. In other words, the columns of matrix P are the eigenvectors of matrix A.
1. When a matrix A has linearly independent eigenvectors v1, v2, ..., vn, it means that each eigenvector corresponds to a distinct eigenvalue. The eigenvectors span the entire vector space of dimension n.
2. The matrix P = [v1 v2 ... vn] is constructed by arranging the eigenvectors v1, v2, ..., vn as columns. Since the eigenvectors are linearly independent, the matrix P formed by these columns is invertible.
3. When we multiply matrix P by its inverse P^(-1), we obtain the identity matrix I. This implies that P^(-1) exists and is the inverse of P.
4. Now, let's consider the equation A * P = P * D, where D is a diagonal matrix that contains the eigenvalues corresponding to the eigenvectors v1, v2, ..., vn along its diagonal.
5. Multiplying both sides of the equation by P^(-1) from the left, we get P^(-1) * A * P = P^(-1) * P * D, which simplifies to P^(-1) * A * P = D.
6. Since P^(-1) exists, we can rewrite the equation as A = P * D * P^(-1). This equation shows that matrix A can be diagonalized using the matrix P formed by the eigenvectors and its inverse P^(-1).
7. Therefore, matrix P = [v1 v2 ... vn] is indeed an n × n matrix consisting of linearly independent eigenvectors of matrix A.
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are your slopes positive or negative for light and dark conditions? what does this mean about tthe change in co2
Use the Law of Cosines to solve each triangle with the given measures. Round answers to the nearest tenths. a = 4.38 ft, b = 3.79 ft, c = 5.22 ft
ANSWER
• A = 55.5°
,• B = 45.5°
,• C = 79.1°
EXPLANATION
The lengths of the three sides of a triangle are given. We have to use the Law of Cosines to find the measures of the interior angles,
Solving each of the equations above for the angles, A, B, and C, we can find their measures,
\(A=\cos^{-1}\left(\frac{a^2-b^2-c^2}{-2bc}\right)\)Replace the known values and solve,
\(A=\cos^{-1}\left(\frac{4.38^2-3.79^2-5.22^2}{-2\cdot3.79\cdot5.22}\right)\approx55.5\degree\)Repeat for angle B,
\(B=\cos^{-1}\left(\frac{b^2-a^2-c^2}{-2ac}\right)=\cos^{-1}\left(\frac{3.79^2-4.38^2-5.22^2}{-2\cdot4.38\cdot5.22}\right)\approx45.5\degree\)And for angle C,
\(C=\cos^{-1}\left(\frac{c^2-a^2-b^2}{-2\cdot a\cdot b}\right)=\cos^{-1}\left(\frac{5.22^2-4.38^2-3.79^2}{-2\cdot4.38\cdot3.79}\right)\approx79.1\degree\)Hence, the three interior angles of this triangle, rounded to the nearest tenth of a degree, are:
• A = 55.5°
,• B = 45.5°
,• C = 79.1°
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds): 15,8,14,16,14,9. Find the mean and median weights of these cats. If necessary, round your answers to the nearest tenth.
Step-by-step explanation:
for mean w. you have to add up all the values (cat weights) and divide them by the number of cats
and for median w. you need to compare the values from the smallest to the largest and cross out the numbers from the ends. Since there are 6 cats here (odd number) you will have 2 values left. Add them up and divide them by 2 (since there are 2)
if (2x-1) be a factor of the polynomial p(x) = kx^3 + 23x^2 + 71x + 30 then find k and hence factorize the polynomial p(x)
Answer:
k=-570
Step-by-step explanation:
P(x) = kx^3+23x^2+71x+30
If 2x-1 is a factor of p(x)
Then,
2x-1 =0
2x=1
x=1/2 and at this value, p(x) =0
Substitute x = 1/2 for x in p(x)
p(1/2) = k(1/2)^3 + 23(1/2)^2;+71(1/2)+30
k(1/8)+23/4 +71/2+30=0
k/8= -23/4 -71/2-30
k/8 = -285/4
k= -(285*8)/4
k=-570
Thus, the polynomial p(x) = -570x^3 +23x^2 +71x +30
Factorization of p(x)
(2x-1) (-285x^2 +131x-30).
the answere would be k=-570
oh and answere me :()
Sofia ordered sushi for a company meeting. They change plans and increase how many people
will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.
The sushi comes in rolls, and each roll contains 12 pieces and costs $8.
Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).
So, they require at least 100 sushi pieces.
24 pieces of sushi had previously been ordered and paid for by Sofia.
Roll sushi is available.
Each roll = 12 pieces at $8
R = additional rolls that Sofia orders
Additional sushi = Needed sushi - ordered sushi
=100-24
=76 pieces of sushi
A roll contains 12 pieces.
76/12 = 6.33
Rolls must be ordered by Sofia.
She will therefore place 7 additional sushi rolls, each with 12 pieces.
12*7=84 pieces
Remember that they need at least 100 pieces, so there may be more than 100 in total.
84 pieces plus the 24 pieces Sofia has previously ordered.
The total number of pieces will be 108.
Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).
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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people
will be at the meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.
The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?
Pretty please help me
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2y + 50 + y + 10 = 180
3y + 60 = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40
2y = 2 × 40 = 80
y + 10 = 40 + 10 = 50
Answer:
y = 40
2y = 80
y + 10 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180°
Using values given,
2y + (y + 10) + 50 = 180
2y + y + 10 + 50 = 180
3y + 60 = 180
3y = 180-60 = 120
y = 120/3 = 40
2y = 80
y + 10 = 40 + 10 = 50
verify that the vector xp is a particular solution of the given nonhomogeneous linear system.
x’ = (2 1 1 -1)x+(-5 2); x˅p = (1 3)
To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.
The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.
Substituting xp into the equation, we get:
x' = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Therefore, the left-hand side of the equation is:
x' = (1 -1 2 -8)
And the right-hand side is:
Ax + f = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.
We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.
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Abc is an equilateral triangle. abuvwxyz is a regular octagon and bcmno is a regular pentagon. the triangle is outside both the octagon and the pentagon, but shares a side with each. if the perimeter of buvwxyzacmno is 160, then what's the perimeter of abc?
The perimeter of ABC is 30 because the length of each side of ABC is one-third of the sum of the side lengths of the regular octagon and pentagon.
Given, ABC is an equilateral triangle, and abuvwxyz is a regular octagon, and bcmno is a regular pentagon. It's given that the triangle is outside both the octagon and the pentagon but shares a side with each. Let's call the side that ABC shares with the octagon, and pentagon as x.
The perimeter of the octagon is equal to the product of the number of sides and the length of each side of a regular octagon, so the perimeter of the octagon is 8x. Similarly, the perimeter of the pentagon is 5x.
Now, we are given that the perimeter of the whole figure is 160. Therefore,
AB + BC + AC + pentagon perimeter + octagon perimeter = 160
AB + BC + AC + 8x + 5x = 160
AB + BC + AC + 13x = 160
Since ABC is an equilateral triangle, all sides of the triangle are equal. Therefore, we can express each side of ABC as (1/3)(AB + BC + AC), so
AB + BC + AC = 3 (side length of ABC)
Substituting the above equation in the previous equation, we get
3 (side length of ABC) + 13x = 160
3 (side length of ABC) = 160 - 13x
side length of ABC = (160 - 13x) / 3
As ABC is an equilateral triangle, all sides of the triangle are equal, so we can say that each side of ABC is (160 - 13x) / 9.
We are given that the perimeter of ABC is 30. So,
3 (side length of ABC) = 30
(160 - 13x) / 3 = 30
160 - 13x = 90
13x = 70
x = 5.4
Therefore, the length of each side of ABC is (160 - 13x) / 9 = (160 - 13(5.4)) / 9 = 10.
Hence, the perimeter of ABC is 3 × 10 = 30.
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Pls help will mark brainliest, no fake answers
Step-by-step explanation:
b = what Bernie earns per day = Php 1000
m = what Mitch earns on a given day
e = what Eugene earns on a given day
r = what Rowan earns on a given day
a.
t = the total earnings of Bernie and Mitch on a given day
t = m + 1000 (or m + b)
b.
e = m/2
c.
r = 2×(m + 1000) or 2×t
would appreciate fast answer :)
a. angle 2 and angle 1, angle 2 and angle 3 are linear pairs. b. angle 9 and angle 8, angle 9 and angle 5 are linear pairs. c. angle 4 and angle 2 form vertical angles.
What are linear pairs?A linear pair of angles in geometry is a pair of neighbouring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. Thus, the total of two angles in a pair of lines is always 180 degrees.
a. angle 2 and angle 1, angle 2 and angle 3 are linear pairs.
b. angle 9 and angle 8, angle 9 and angle 5 are linear pairs.
c. angle 4 and angle 2 form vertical angles.
d. angle 8 and angle 5 form vertical angles.
e. The rays that form angle 7 and angle 9 do not for, opposite rays.
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How many even, three-digit positive integers have the property that exactly two of the integer's digits are equal
There are `9 × 9 × 10/2 = 405` even three-digit integers with the property that exactly two of the integer's digits are equal.
To find the even, three-digit positive integers that have the property that exactly two of the integer's digits are equal, we need to determine the possible digits that can occupy the hundreds, tens, and units place, then arrange them in the required format. We can choose the digit that appears in the hundreds place in 9 ways because it can't be 0 or the same as the digit that appears in the tens or units place.
The digit in the tens place can be selected in 9 ways because it can't be the same as the digit in the hundreds place or 0. There are 10 ways to pick the digit that appears in the units place since any digit from 0 to 9 can appear there.Therefore, the number of ways of arranging the digits in a three-digit integer such that exactly two of the digits are the same is 9 × 9 × 10.The number of even integers is half of the total because half of the integers have 0, 2, 4, 6, or 8 in the units place.
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the germination rate is the rate at which plants begin to grow after the seed is planted. a seed company claims that the germination rate for their seeds is 90 percent. concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. what are the
The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9
A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.
The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.
Complete Question:
The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.
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The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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PART A
Mrs. Jackson is planning an outdoor barbeque. She will cook 2 ears of corn per person plus two extra. If 16 people plan to come, how many ears of corn will Mrs. Jackson cook?
Answer:
34
Step-by-step explanation:
2 x 16 + 2
_________
2 x 16 = 32
_________
32 + 2 = 34
Answer:
30 or 64
Step-by-step explanation:
30 Because... 2 corns for every one till they rech 15..
that's mean (2 x 15)
64 Because... 2 corns plus 2 extra if they rech 16....
that's mean (4x16)
I’m having trouble understanding this, if anyone could help me understand it I’d greatly appreciate it.
Answer:
x = angle left of (4x+5) [ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇs]
So, x + (4x+5) =180° [sᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇs]
\((4x + 5 )+ x = 180 \\ 4x + 5 + x = 180 \\ 5x + 5 = 180 \\ 5x = 180 - 5 \\ 5x = 175 \\ x = \frac{175}{5} \\ x = 35\)
=> ˢᵒ ᵗʰᵉ ᵛᵃˡᵘᵉ ᵒᶠ ˣ ⁱˢ ᵉᵠᵘᵃˡ ᵗᵒ 35
2x+1 divided by 8x^3+18x^2+11x+2
Answer:
1/4x^2+7x+2
Step-by-step explanation:
hope this helps
Please I need help!!
In the diagram DO and TO of rectangle OUTD are extended as shown.
Find the value of X
Show your work
Value of X is 8.
What is rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Given,
Figure OUTD is a rectangle.
Each angle in a rectangle measures 90 degrees.
Therefore,
(7X + 2) + 4X = 90
7X + 2 + 4X = 90
11X + 2 = 90
Subtract 2 from both sides of the equation
11X = 88
Divide both sides of the equation by 11
X = 8.
Hence, 8 is the value of x.
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HOTS... Just solve this questions
Answer:
Step-by-step explanation:
8. B is the midpoint of AD
A (x,y)
D( -1,3) B ( (x-1)/2, (y+3)/2) and B ( 1,1)
then (x-1)/2=1, x-1=2 ( +1) , x= 2+1, x=3
(y+3)/2=1, y+3=2 ( -3) y=2-3, y= -1
then A (3, -1)
9. (-8,3)
(s,3) the midpoint (0,u)
then (s-8)/2=0, s=8
(3+3)/2=u, u=6/2, u= 3
10. a=1 ( the y coordinate is the same as the midpoint
A(3,1)
B(x,y) the midpoint (5,1)
(3+x)/2=5, 3+x=10 , x=10-3, x=7
(y+1)/2=1, y+1=2,y=2-1, y=1
B(7,1)
Thirty clowns are in clown car. If all of the clowns in
the car are either happy clowns or sad clowns, all of
the following are possible ratios of sad clowns to
happy clowns EXCEPT:
a).1:2
b). 1:1
c). 3:7
d). 4:1
e). 5:2
Answer:
E, 5:2
Step-by-step explanation:
1:2
1/3 x 30 = 10 . 2/3 x 30 = 20
1:1
1/2 x 30 = 15
3:7
3/10 x 30 = 9 7/10 x 30 = 21
4:1
4/5 x 30 = 24 . 1/5 x 30 = 6
5:2
5/7 x 30 = 21.43 (this is a decimal so it does not work)
The coordinates of Point Q on a coordinate grid are (2, 3). Which statement about Point Q is true? (1 point) a It is 2 units away from the origin along the y-axis. b It is 3 units away from the origin along the y-axis. c It is 5 units away from the origin along the x-axis. d It is 1 unit away from the origin along the x-axis.
b is the correct answer. Q is 3 units away from the origin along the y-axis.
Given point Q(2,3) is 2 units away from the origin along the x-axis and 3 units away from the origin along the y-axis.
a is incorrect as Q is not 2 units away from the origin along the y-axis.
b is correct as Q is 3 units away from the origin along the y-axis.
c is incorrect as Q is not 5 units away from the origin along the x-axis.
d is incorrect as Q is not 1 unit away from the origin along the x-axis.
Therefore, the correct answer is b.
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Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?
Answer:
1 7/12
Step-by-step explanation:
The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12
Answer:37/12
Step-by-step explanation:
1/3+11/4=37/12
Please help me on my hw It’s all one question
(a)
The model of the profit y (in dollars) as a function of the number of cooktops produced per month is:
y = 10x + 0.5x² - 0.001x³ - 4000, for 0 ≤ x ≤ 450
We can see the intersection of this graph and the axis:
For the y axis: x = 0
y(x = 0) = 10*0 + 0.5*0² - 0.001*0³ - 4000 = -4000
For the x axis: y = 0
0 = 10x + 0.5x² - 0.001x³ - 4000
Solving for x: x = {-91.1503, 87.0538, 504.096}
From these values, only x = 87.0538 lies in 0 ≤ x ≤ 450.
Finally, we calculate the final value: x = 450
y = 10*450 + 0.5*450² - 0.001*450³ - 4000 = 10 625
From these results, the graph is:
(b)
To begin generating a profit, we must find an x value such that y(x) > 0.
From item (a), we found that such value is x = 87.0538 or x = 88 (to the bigger whole number). That is, values beyond 88 for the number of cooktops will generate a profit, as we can see from the graph, where for x ≥ 88 the function is positive.
Answer: 88
(c)
We need to solve the inequality:
y > 15 000
10x + 0.5x² - 0.001x³ - 4000 > 15 000
If we solve the equality first:
10x + 0.5x² - 0.001x³ - 4000 = 15 000
We get: x = {-175.3, 262.64, 412.66}
Only 262.64 and 412.66 lie in 0 ≤ x ≤ 450. So, rounding to the nearest whole number, the interval is:
x ∈ [263, 412]
*x is a whole number*
10000+2000003
ghsrhrs
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
I need help! I need the graph drawn and the steps to how I got the answer but I don’t know it! Please help me!
Answer:
25 computers per hour
Step-by-step explanation:
look ate the point 2 hours corresponding to 50 computers
50/2 = 25/1 or 25 computers per hour
Help Plz you awesome 69 points btw
\(\\ \sf\longmapsto \sqrt{5}\)
We can't find the square-root as a whole simple no hence its irrational .root 9 is seemed to be irrational but its square root is 3the decimal is -13.589702
Hope it help
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-3z-22) (z + 8)
Answer: -3 + 2/z+8
Step-by-step explanation:
I hope this helps!
Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.
negitive 17plus n over 5 =33 what is n
Answer:
250
Step-by-step explanation:
-17+n/5=33
n/5=33-(-17)
n/5=33+17
n/5=50
n=50*5
n=250
n=182
Step by Step Explanation:
The equation we would start out with is:
\( \frac{ - 17 + n}{5} = 33\)
From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.
Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.