Answer:
The value of x is 138
Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)
Answer:
linear pair; supplementary anglessum is 180°subtract the known angle from 180°Step-by-step explanation:
Angles that form a straight line are called a linear pair. They are supplementary angles (by definition), so their sum is 180°.
__
Replacing the angle numbers with their values, we can use this relationship.
120 + x = 180 . . . . use the given numbers in the supplementary angle relationship
x = 180 -120 . . . . . use the addition property of equality to find x by subtracting 120 from both sides of the equation
x = 60
The missing angle (x) is 60 degrees.
which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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Which day did Walker read the fastest?
a) Day 1 - 20 pages in 35 minutes
b) Day 2 - 80 pages in 15 minutes
c) 46 pages in 65 minutes
d) 35 pages in 26 minutes
Show your work
Answer:
B.
Step-by-step explanation:
Divide ( x number of pages) by (x number of minutes) for all answers.
Day 1: 20 divided by 35= around 0.57 pg per minute
Day 2: 80 divided by 15= 5.3 pg per minute
Day 3: 46 divided by 65= around 0.70 pg per minute
Day 4: 35 divided by 26= 1.34 pg per minute.
Therefore, B is your answer!
Crown me brainliest pls!
Use synthetic division to test one potential root. enter the numbers that complete the division problem. −5 1 6 −7 −60 a −c −60 1 b −d −60 a = b = c = d =
Synthetic division to test one potential root. the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50
To use synthetic division to test the potential root, we have to arrange the polynomial coefficients in descending order and use the potential root as the divisor.
then the polynomial is written as:
1x^3 + 6x^2 - 7x - 60
Assume that the potential root is x = -5.
-5 | 1 6 -7 -60
|___-5_-5__10
1 1 -12__-50
Now the numbers that complete the division problem are:
a = 1 b = 1 c = -12 d = -50
Therefore, the polynomial can be written as (x - 5)(x^3 + x^2 - 12x - 50)
and the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50
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Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression
Answer:
divide, 2x+9
Step-by-step explanation:
got it right
What does * mean in mathematics?
Answer:
multiply
Step-by-step explanation:
for example:
4 * 5 = 20
other ways of writing multiply:
4 x 5 = 20
4(5) = 20
Answer:
Usually in math it is used to indicate multiplication.
Step-by-step explanation:
Most of the time people will use * instead of x for multiplication on a calculator or computer.
Hope this helps. Plz give brainliest.
In a number with at least two digits, the last number was removed. The resulting number was n smaller than ghe previous one.
What is the largest possibe value of n?
A) 11
B) 19
C) 20
D) 10
E) 999
Answer:
The largest possible value of n is 11.
(A) is correct option.
Step-by-step explanation:
Given that,
The number with at least two digits,the last number was removed. The resulting number was n smaller than the previous one.
We need to find the largest possible value of n
Using given data,
The smallest number of two digit is 10.
Now, we removed last digit then we get 1 which is equal to 10 divided 10.
So, n = 10
But the largest number of two digit is 99.
We removed last digit then we get 9 which is equal to 99 divided 11.
So, n = 11
Hence, The largest possible value of n is 11.
(A) is correct option.
PLS LOOK AT THE PIC AND HELPPP PLSSS
Answer:
4x + -6.03 = 2.07
Step-by-step explanation:
first one:
there are four big white boxes so that equals 4x
6 negative ones so its -6
3 negative 0.1 so its -0.3
add up 06 and -0.3 and that's -6.03
second one:
there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07
What is the image of the point (-6,0) after a rotation of 270° counterclockwise
about the origin?
Answer:
(- 1, - 6 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ), thus
(6, - 1 ) → (- 1, - 6 )
Hope this helps!!!!
what is the probability of pulling a queen or a black 3 out of a standard deck of cards?
Answer:
\(\frac{3}{26}\) of pulling a queen or a black 3.
Step-by-step explanation:
Since there's 52 cards in an average deck and there's 4 queens, divide 52 with 4 and you'll get 13, so that means it's a \(\frac{1}{13}\) chance of getting a queen.
Also because there's 4 "3"s and 50% of those cards are black (clubs and spades), divide 52 with 2 and you'll get a \(\frac{1}{26}\) chance of getting a black 3.
Add both quotients to a common denominator of 52 and you will end up with 6/52. Then simplify the sum.
You should end up with \(\frac{3}{26}\).
The demand for a product in dollars is p=1200-0. 2x-. 0001x^2
The maximum price that consumers are willing to pay for the product is represented by the y-intercept of the parabola, which is 1200. This means that when there is no demand for the product (x=0), the price of the product is 1200 dollars.
The given demand function for a product in dollars is p=1200-0.2x-0.0001x², where 'p' represents the price of the product and 'x' represents the quantity demanded by the consumers.
This demand function is a quadratic function that takes the form of a downward-sloping parabola. It has a negative coefficient for the squared term, which means that the parabola opens downwards. This implies that as the quantity demanded increases, the price of the product will decrease, but only up to a certain point.
The maximum price that consumers are willing to pay for the product is represented by the y-intercept of the parabola, which is 1200. This means that when there is no demand for the product (x=0), the price of the product is 1200 dollars.
As the quantity demanded increases, the price of the product decreases at a decreasing rate. This is because the coefficient of the x-term (-0.2) is smaller than the coefficient of the x²-term (-0.0001x²), which means that the effect of quantity on price decreases as the quantity demanded increases.
However, beyond a certain point, the price starts to increase again, indicating a decrease in demand. This is because the quadratic function is concave downwards, and there is a maximum point (vertex) on the parabola. The quantity demanded at this point is given by the formula
x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively.
Overall, the demand function represents the relationship between the price of the product and the quantity demanded by the consumers. By understanding this relationship, producers can make informed decisions about pricing and production levels to maximize their profits.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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Frank bought 17 boxes of cereal. This is 20% of the total boxes at the store. How many total boxes of cereal were at the store?
Answer:
85 boxes at the store becuase 17 is 20 percent of 85
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times. Part A: Based on the results, what is the experimental probability of the coin landing heads up
The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:
P(heads up) = 16/40
Simplifying the fraction by dividing both the numerator and denominator by 8, we get:
P(heads up) = 2/5 or 0.4
Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.
To find the experimental probability of the coin landing heads up, you'll need to use the following formula:
Experimental probability = (Number of successful outcomes) / (Total number of trials)
In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:
Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)
Now, divide 16 by 40 to get the probability:
Experimental probability (heads up) = 16/40 = 0.4 or 40%
So, based on the results, the experimental probability of the coin landing heads up is 40%.
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tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28
Answer:
No this is not arithmetic this is geometric
Step-by-step explanation:
10 to 15 is a increase of 5
15 to 21 is a increase of 6
21 to 28 is a increase of 7 arithmetic have to have steady increases
Answer:
Hola!
Step-by-step explanation:
6
1 point
In the isosceles trapezoid above, If m
Answer:
∠ T = 126°
Step-by-step explanation:
in an isosceles trapezoid
• lower base angles are congruent
• any lower base angle is supplementary to any upper base angle
then
∠ U = ∠ W = 54° , so
∠ T + ∠ U = 180°
∠ T + 54° = 180° ( subtract 54° from both sides )
∠ T = 126°
A model that describes the population of a fishery in whichharvesting takes place at a constant rate is given by (dP/dt) = kP- h,
where k and h are positive constants.
(a). Solve the DE subject to P(0) = P0.
(b). Describe the behavior of the population P(t) forincreasing time in three cases P0>h/k, P0=h/k, and0
(c). Use the results from part (b) to determine whether thefish population will ever go extinct in finite time, that is,whether there exists a time T>0 such that P(t) = 0. If thepopulation goes extinct, then find T
Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.
(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:
(dP/dt) = kP - h
dP/(kP - h) = dt
∫dP/(kP - h) = ∫dt
ln|kP - h| = kt + C
kP - h = e^(kt + C)
P = (e^(kt + C) + h)/k
Using the initial condition P(0) = P0, we can solve for C:
P0 = (e^(k*0 + C) + h)/k
P0 = (e^C + h)/k
e^C = kP0 - h
C = ln(kP0 - h)
Substituting back into the equation for P, we get:
P = (e^(kt + ln(kP0 - h)) + h)/k
P = ((kP0 - h)e^(kt) + h)/k
This is the solution to the differential equation subject to the initial condition P(0) = P0.
(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:
- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.
- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.
- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.
(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:
P(T) = ((kP0 - h)e^(kT) + h)/k = 0
(kP0 - h)e^(kT) = -h
e^(kT) = -h/(kP0 - h)
Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:
kT = ln(-h/(kP0 - h))
T = (1/k)ln(-h/(kP0 - h))
This is the time at which the fish population will go extinct.
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TEST! PLEASE HELP! 40 points!
A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A cylindrical hole cut out of the center has a radius of 6 millimeters.
A cylinder is shown. A smaller cylinder is cut out of the middle of the larger cylinder. Both have a height of 21 millimeters. The diameter of the larger cylinder is 20 millimeters, and the the radius of the smaller cylinder is 6 millimeters.
Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Select two options.
21π(10)2 – 21π(6)2
π(20)2(21) – π(6)2
2,100π – 756π
7,644π
1,344
Answer:
Options A and C are correct choices.
Hope helps
:3
Answer:
A, C or 1, 3
Step-by-step explanation:
Trust the process
edge 2021
Find the value of (x − 6)² if x² – 12x = 30, and x > 0.
plsss answer
Answer:
65.9
Step-by-step explanation:
The equation x² – 12x = 30 (x>0) promises that we can determine possible values of x if we solve the equation. So let's start there:
We can factor the equation or solve it with the quadratic equation.
Factor
x² – 12x = 30
x² – 12x - 30 = 0
I don't see an easy factor solution. One possibility is to first rewrite the equation as
(x-12)x-30 = 0
(x-6)^2 - 66 = 0
-(-x+\(\sqrt66}\)+6)(x+\(\sqrt{66}\)-6)
The roots are:
x = 6-\(\sqrt{66}\) and
x = 6+\(\sqrt{66}\)
Since x>0, only the second root is valid: x = 6+\(\sqrt{66}\)
x = 6 + (8.12)
x = 14.12
[That was painful]
Quadratic Equation
Solving with the quadratic equation gives values of:
14.12, and -2.12 Again, only the positive value is valid: 14.12
[The quadratic approach was far easier than factoring, in this case]
==
Since we established x = 14.12, (x − 6)² bcomes:
(14.12 − 6)²
(8.12)² = 65.9
20/3=2(w+2/3)
What’s the value of w
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
Simplify.
5 • 2 • (–4) + 6 ÷ 2
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
Evaluate -2x^2y, if x=-3 and y=-1.
A. -12
B. 18
C. -18
D. 12
Answer:
c.-18
Step-by-step explanation:
follow me and -GOOD LUCK-
Becky has $176 in her bank account. She
withdraws $45 from her account to buy food.
She takes of the remaining bank balance and
puts it into her savings account. How much did
Becky put in her bank account?
Answer:
she put 131
Step-by-step explanation:
is she took out 45 from 176 she would have put in 131 I'm the account
2.) Let's consider a Stackelberg version of monopolistic competition. Suppose market demand is given by P = 30 – Q and there are ""n"" firms in the market with the first firm denoted as the leader
The specific numerical solution will depend on the number of firms in the market and their behavior.
In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.
Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:
max (30-Q1-Q2-...-Qn)Q1 - 10Q1
subject to Q1 >= 0
where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.
Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:
d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0
Simplifying this expression, we get:
30 - Q1 - Q2 - ... - Qn - 2Q1 = 0
Solving for Q1, we get:
Q1 = (30 - Q2 - ... - Qn)/3
This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.
Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:
Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)
where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.
Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.
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find the linear function from the table
3. x³ 2x² 13x - 10 = 0
-
Possible Roots:
Real Rational Roots:
There were
32
3232 volunteers to donate blood. Unfortunately,
n
nn of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated
470
470470 milliliters each.
How many milliliters of blood did the volunteers donate?
Answer:
470(32 - n)
Step-by-step explanation:
Here are the given:
> 32 volunteers
> n volunteers who didn't donate
> 470 mL each
So your expression is: 470(32 - n).
Why?
Subtract the 32 volunteers who want to donate blood from the volunteers who were not able to donate then multiply it by 470.
Answer:
dam just imagen that in real life
Step-by-step explanation:sorry haha ik its not about that but it had to be said
The sum of two numbers is 56. The first number is 2 times greater than the second number. What is the second number?
Answer:
y = 56/3
Step-by-step explanation:
We need to write equations to solve
Let the two numbers be x and y
The sum is 56
x+y = 56
The first number is 2 times greater than the second number.
x = 2*y
Substitute this into the first equation
x+y = 56
2y+y=56
3y = 56
y = 56/3
Step-by-step explanation:
Let the numbers be x and y
The sum of the two numbers is 56 :
Step 1:
X + Y = 56.......... (1)
Also, the first number is 2 times greater than the second number:
Step 2:
2X + Y = 0........... (2)
By substitution method, make Y the subject from (2)
Step 3:
Y = -2X .......... (3)
Put (3) into (1)
Step 4
X - 2X = 56
-X = 56
\( \frac{ - x}{ - 1} = \frac{56}{ - 1} \)
X = -56
Put X=56 into (3)
Step 5
\(y = - 2( - 56)\)
\(y = 112\)
The second number is now 112.
1. Consider the following hypothetical system of Simultaneous equations in which the Y variables are endogenous and X variables are predetermined.
Y1t − β10 − β12Y2t − β13Y3t − γ11X1t = u1t (19.3.2)
Y2t − β20 −β23Y3t − γ21X1t − γ22X2t = u2t (19.3.3)
Y3t − β30 − β31Y1t −γ31X1t − γ32X2t = u3t (19.3.4)
Y4t − β40 − β41Y1t − β42Y2t −γ43X3t = u4t (19.3.5)
(a) Using the order condition of identification. determine whether each equation in the system is identified or not. and if identified, whether It is lust or overidentified.
(b) Use the rank condition of identification Xo validate your in (a) for equation 19.32.
(c) Describe the Steps you can take to ascertain whether in equation 19.3.2 are endogenous (derivation Of reduced form equations is not necessary).
A system of simultaneous equations can be identified using the order condition of identification and the rank condition of identification. For identification, these two conditions must be met.
The order condition specifies how many independent equations are needed to identify the values of the endogenous variables in the system, whereas the rank condition specifies how many restrictions the model must impose on the parameters to achieve identification.
Using the order condition of identification, we can determine if each equation in the system is identified or not. In this case, we have four equations, and therefore, four endogenous variables (Y1t, Y2t, Y3t, Y4t).
The system is identified if the number of exogenous variables (predetermined) is greater than or equal to the number of endogenous variables.
In this case, we have three exogenous variables (X1t, X2t, X3t), which are predetermined, hence the system is over-identified, meaning we have more instruments than necessary.
The rank condition of identification can be used to validate the identification of the system using equation 19.32.
If we assume that the exogenous variables are not correlated with the error terms (u1t, u2t, u3t, u4t), then we can use the rank condition to check the number of linearly independent equations in the system.
If the number of equations is equal to the number of endogenous variables, then the system is identified. In this case, the rank of the matrix is 3, which is equal to the number of endogenous variables.
Thus, the system is identified.
To ascertain whether equation 19.3.2 is endogenous, we can use the Hausman test.
This test compares the estimates from two different estimators of the same parameter, one of which is consistent but inefficient, and the other is inconsistent but efficient.
If the estimates from the two estimators are the same, then the parameter is exogenous, but if the estimates differ, then the parameter is endogenous.
Therefore, we can compare the estimates from the OLS estimator and the 2SLS estimator for β12. If the estimates are the same, then β12 is exogenous, but if the estimates differ, then β12 is endogenous
The order condition of identification and the rank condition of identification are necessary conditions for identification of the system of simultaneous equations. Using the rank condition, we can check whether the system is identified or not, and if identified, whether it is under-identified, just-identified, or over-identified. The Hausman test can be used to determine whether a parameter is endogenous or exogenous.
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please help will give brainliest
On average, Carson spends $2 of his $20 monthly allowance on library fines. When creating a circle graph of what Carson does with his money, what fraction of the circle will represent the amount he spends on library fines?
Answer:
1/10 of the circle (36° central angle).
Step-by-step explanation:
2/20 = 1/10
A circle has 360 degrees, so the central angle will be 1/10 × 360° = 36°.