Answer:
182
Step-by-step explanation:
First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF
Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.
Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:
Say that x = ∠CAB. Then,
∠CAB + ∠ABC + ∠ACB = 180
x + x + ∠ACB = 180
2x + ∠ACB = 180
subtract ∠ACB from both sides
180 - ∠ACB = 2x
Similarly, if y = ∠CWV,
180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.
Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,
CV/BC = CW/AC
84/182 = 84/?
Filling in the blank, 84/182 is equal to 84/182, so ? = 182
what is the median of this distribution ?
Answer:
The median of a distribution, denoted as xmed, is defined as the value of x such that are equal probabilities of getting a larger value and getting a smaller value than xmed. In other words, P(xmed)=0.5.Step-by-step explanation:
What is the first step in solving 5v+9=−51
Answer:
subtract 9 then when u get the answer divide by 5
Step-by-step explanation:
The first step in solving 5v + 9 = -51 is to subtract 9 from both sides of the equation.
This will isolate the variable v on the left-hand side of the equation.
The equation is:
5v + 9 = -51
To isolate v, we need to get rid of the 9 on the right-hand side of the equation. We can do this by subtracting 9 from both sides of the equation. This will give us the following equation:
5v + 9 - 9 = -51 - 9
Simplifying both sides of the equation, we get:
5v = -60
Now that the variable v is isolated, we can solve for the value of v by dividing both sides of the equation by 5. This will give us the following equation:
v = -60 / 5
Simplifying both sides of the equation, we get:
v = -12
Therefore, the value of v is -12.
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some1 pls answer this pt.2 will give brainlist thingy
Answer: 8
Step-by-step explanation: (9-7)^3= 8
Answer: ? = 8
Step-by-step explanation: 2 x 2 x 2 = 8
2 This table shows the relationship between
the total weight, w, in pounds, of a crate
containing t textbooks.
B
t
W
1
2
0
4
8
20
What is the slope of the line that models
this situation?
A 2
16
36
C 4
D
24
52
4
The slope of the line that models this situation is equal to 2.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 8).
Points on y-axis = (4, 20).
Substituting the given data points into the slope formula, we have the following;
Slope, m = (20 - 4)/(8 - 0)
Slope, m = 16/8
Slope, m = 2.
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When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Step-by-step explanation:
hope you can understand
Identify the function. Choose from the following: Linear, Quadratic, 3rd degree Polynomial, 4th degree Polynomial, Rational, Periodic, Exponential Growth or Exponential Decay
A. ????(x)= 9−5x/2x+1
B. H(x)= 5x−6/3
C. y=5(3)^-x
D. ????(x)= 3x^2 − 5
E. y=4x(x−2)(x+1)^2
F. ????(x)=(1.07)^x G. y=5sin(3x)
H. ????(x)=3(x−1)(x+4)
After reviewing the given function they are described as the following
A. f(x) = 9 - 5x / 2 * x + 1 is a Rational function.
B. H(x) = 5x - 6/3 is a Linear function.
C. y = 5 x \((3) ^{(- x)}\) is an Exponential Decay function.
D. g(x) = 3x² - 5 is a Quadratic function.
E. y = 4x(x - 2) x (x + 1)² is a 4th degree Polynomial function.
F. M(x)=\((1.07)^{x}\) is an Exponential Growth function.
G. y = 5sin(3x) is a Periodic function.
H. R(x) = 3(x - 1)(x + 4) is a 3rd degree Polynomial function.
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The complete question is
Identify the function. Choose from the following: Linear, Quadratic, 3rd degree Polynomial, 4th degree Polynomial, Rational, Periodic, Exponential Growth or Exponential Decay
A. f(x) = 9 - 5x / 2 * x + 1
B. H(x) = 5x - 6/3
C. y = 5 * (3) ^ (- x)
D. g(x) = 3x ^ 2 - 5
E. y = 4x(x - 2) * (x + 1) ^ 2
F. M(x)=(1.07)^x G. y = 5sin(3x)
H. . R(x) = 3(x - 1)(x + 4)
The sum of three consecutive odd integers is 147. what is the third number? a. 49b. 47 c. 48 d. 51
The three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.
Let's represent the first odd integer as x. Then, the next two consecutive odd integers would be x + 2 and x + 4.
According to the problem, the sum of these three consecutive odd integers is 147:
x + (x + 2) + (x + 4) = 147
We simplify and solve for x, which gives us the value of the first integer.
Simplifying and solving for x, we get:
3x + 6 = 147
3x = 141
x = 47
So the three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.
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7 (b)
Rashid spent 30 minutes on each piece of homework.
Work out the total time he spent on homework for these three subjects.
Give your answer in hours and minutes.
13
Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.
If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).
30 minutes * 3 = 90 minutes.
To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.
90 minutes ÷ 60 = 1 hour and 30 minutes.
Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.
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5(x+1)-x=x-1 pls help
Answer:
x=-2
Step-by-step explanation:
5(x+1)-x=x-1
5x+5-x=x-1
4x+5=x-1
3x+5=-1
3x=-6
x=-2
Image attached down bellow
Answer:
d
Step-by-step explanation:
find the jacobian of the transformation x=3u, y=2uv and sketch the region g: 3<3u<6, 2<2uv<4
It is a rectangular region with u and v values ranging from 1 to 2.
To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.
Given:
x = 3u
y = 2uv
Calculating the partial derivatives:
∂x/∂u = 3
∂x/∂v = 0 (since x does not depend on v)
∂y/∂u = 2v
∂y/∂v = 2u
Now, we can construct the Jacobian matrix J:
J = [∂x/∂u ∂x/∂v]
[∂y/∂u ∂y/∂v]
Substituting the partial derivatives we calculated earlier:
J = [3 0]
[2v 2u]
Therefore, the Jacobian of the transformation is:
J = [3 0]
[2v 2u]
To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.
From the inequality 3 < 3u < 6, we have:
1 < u < 2
From the inequality 2 < 2uv < 4, we can divide both sides by 2:
1 < uv < 2
Since u and v must both be greater than 1, we can determine the range of v:
1 < v < 2
Now, we can sketch the region in the u-v plane bounded by the conditions:
1 < u < 2
1 < v < 2
It is a rectangular region with u and v values ranging from 1 to 2.
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Identify the missing numbers.
____ -2 -7 -12 -17 ____
Answer:
3,-2,-7,-12,-17,-22
when going up add, when going down subtract.
Example: -2+5=3
-17-5=-22
An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground? h(t) = at2 + vt + h0 1.9 s 2.4 s 9.7 s 40.7 s
Answer:
B
Step-by-step explanation:
I answered it on edge
2.45 seconds will it take for the egg to reach the ground.
What is height?Height can be defined the vertical distance from the top to the base of the object.
Given
Height h(t) = 90 ft
Acceleration due to gravity a = -16 ft/\(s^{2}\)
Initial velocity v = 0
\(h_{0}\) = 0
\(h(t) = at^{2} +vt+h_{0}\)
90 = 16\(t^{2}\) + 0
90 = 16\(t^{2}\)
\(t^{2} = \frac{90}{16}\)
\(t^{2}=5.625\)
t = \(\sqrt{5.625}\)
t = 2.45
Hence, 2.45 seconds will it take for the egg to reach the ground.
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HELP PLEASE!! 20 POINTS!!
Suppose it costs $0.46 to mail a 4-ounce package, plus $0.06 per each additional ounce.
How much does it cost to mail a 6-ounce package?
Answer:
$1.66
Step-by-step explanation:
(0.46)+(2×0.6)=1.66
what method was probably used to construct the pyramids
Evidence points to the Egyptians using gypsum mortar – also known as plaster of Paris – in constructing pyramids during the Pharaonic period. The first Egyptologist to identify this method was Alfred Lucas in 1926.
Statistically, numbers account for nearly half of all fatal collisions when the major factor is
A) racing
B) speeding
C) alcohol
Give an example of a unit rate that you have seen or used in your life recently.
Answer:
$100
Step-by-step explaine:
My house cleaners charge $25 per hour and they spend about 4 hour cleaning the house how much money will they make in the 4 hours spent cleaning the house?
Take 4 and multiply it by 25
The examples of unit rate are given below and this can be determined by using the definition of unit rate.
The unit rate is nothing but a ratio that represents the rate of something per unit.
Examples --
1) A car is driving at a speed of 50 kilometers per hour. The 50 km/hr represents the unit rate.
2) The cost of the potatoes is $2 per pound. The $2/pound represents the unit rate.
3) The density of a substance is 4 Kg per liter. The 4kg/lt represents the unit rate.
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draw a graph of the rose curve
Looking through the options, the answer is option D.
Which of the following mathematical expressions represents the risk premium of a given stock? multiple choice A. rm - rf B. beta(rm - rf) C. beta x D. rm rf beta(rm-rf)
The risk premium of a given stock by the mathematical expression "rm - rf," where "rm" represents the expected return of the market and "rf" represents the risk-free rate. The correct option would be A. rm - rf.
The risk premium of a stock refers to the additional return that an investor expects to earn above the risk-free rate in order to compensate for the higher risk associated with investing in the stock market. This risk premium reflects the extra return that investors demand for taking on the additional risk of investing in stocks rather than risk-free assets like government bonds.
In the provided expression, "rm - rf," the term "rm" represents the expected return of the overall market, and "rf" represents the risk-free rate. By subtracting the risk-free rate from the expected market return, we obtain the difference between the two, which represents the compensation for bearing the additional risk of investing in stocks.
Essentially, "rm - rf" captures the excess return that investors anticipate from investing in the stock market compared to the guaranteed return of a risk-free asset. This difference, or premium, serves as a measure of the compensation for taking on the higher risk associated with stock investments.
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What is the square root of 81?
A. 11
B. 9
C. 18
D.8
Answer:
the correct answer is
B . 9
9 X 9 = 81
Step-by-step explanation:
Answer:
OPTION(B):Square root of 81 is 9
to indirectly measure the distance across a lake, jeremiah makes use of a couple landmarks at points hh and ii. he measures gkgk, kiki, and jkjk as marked. find the distance across the lake (hi)(hi), rounding your answer to the nearest hundredth of a meter.
Jeremiah uses the landmarks at points HH and II to measure the angles GKGK, KIKI, and JKJK, then uses trigonometric functions to calculate the distance HI between the two points, rounded to the nearest hundredth of a meter.
Jeremiah uses two landmarks at points HH and II to measure the distance of HI across the lake. He first measures the angles GKGK, KIKI, and JKJK. He then uses the trigonometric functions of sine, cosine, and tangent to calculate the distance HI between the two points. Since he has the angles and the lengths of two sides of the triangle, he is able to calculate the length of the third side using the Law of Sines or the Law of Cosines. After he has calculated the distance HI, he rounds his answer to the nearest hundredth of a meter. By using trigonometric functions, Jeremiah is able to indirectly measure the distance across the lake.
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two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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In an arithmetic sequence, a_(4)=19 and a_(7)=31. Determine a formula for a_(n), the n^(th ) term of this sequence.
To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.
The common difference is the constant value that is added or subtracted to each term to get to the next term.
In this case, we can find the common difference by subtracting the fourth term from the seventh term:
d = a₇ - a₄
d = 31 - 19
d = 12
Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:
aₙ = a₁ + (n - 1)d
In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.
Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:
a₄ = a₁ + (4 - 1)d
19 = a₁ + 3(12)
19 = a₁ + 36
a₁ = 19 - 36
a₁ = -17
Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:
aₙ = -17 + (n - 1)(12)
Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).
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what is the expression for h(x) last one
Hello,
\(f(x) = - 5 {x}^{2} + 3\)
\(h(x) = - 5 {x}^{2} + 3 + 5 = - 5 {x}^{2} + 8\)
Find the volume of a right circular cone that has a height of 3.5 ft and a base
with a diameter of 11.9 ft.
Step-by-step explanation:
the volume of a cone is
base area × height / 3
and the case area is a circle, so we get
pi×r²×h/3
with e being the radius (half of the diameter), and h being the height.
therefore
pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³
x/3 -6 =y
Solve for x
Answer:
x= 3(y+6) or x = 3y + 18
Step-by-step explanation:
get the "x" by itself.
so first +6 on both sides of the equation to make it x/3=y+6
then multiply both sides by 3 to make it x=(y+6)*3
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
The real risk-free rate is 3%. Inflation is expected to be 4% this year and 5% next year. The maturity risk premium is estimated to be.20(t-1)%, where t is the number of years to maturity. What is the yield on a 2-year Treasury note? Select one: a. 7.7% Ob 7.3% O c. 7.9% O d. 7.5%
Rounding to the nearest tenth, the yield on a 2-year Treasury note is approximately 7.3%. Option b
The yield on a 2-year Treasury note can be calculated by adding up the various components that contribute to the yield. The real risk-free rate is given as 3%, and the inflation rates for this year and next year are 4% and 5% respectively. Additionally, the maturity risk premium is estimated to be 0.20(t-1)%, where t is the number of years to maturity.
To calculate the yield on a 2-year Treasury note, we need to consider the real risk-free rate, inflation expectations, and the maturity risk premium. The yield will be the sum of these components.
In this case, since the maturity is 2 years (t = 2), the maturity risk premium would be 0.20(2-1) = 0.20%.
Therefore, the yield on a 2-year Treasury note would be:
Yield = Real risk-free rate + Inflation rate + Maturity risk premium
= 3% + 4% + 0.20%
= 7.30%
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A 17- foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 11 feet from the base of the building. How high up the wall does the ladder reach
Answer:
y=\(\sqrt{168}\) or about 12.96 ft
Step-by-step explanation:
11^2+y^2=17^2
y^2=168
y=\(\sqrt{168}\) or about 12.96 ft
if 500 pieces of something is a pound how much does 1 piece weigh?
Answer:
0.002 pounds
Step-by-step explanation:
1lb / 500 = 0.002 pounds