If g(x)=1-3/4x find the values of g(0), and -5·g(4)-1
If h(x)=|1-7x| find the values of h(1), and 23-h(9)
If f(x)=8-5x find the values of f(4c), and f(4p+3)
Step-by-step explanation:
g(0)= 1
g(5)= 1-3/20 = 17/20
-5.g(4)-1 =-5. (13/16) -1 = -65/16 -1= (-65-16)/16= -81/16
This stem-and-leaf plot shows the number of Australian road fatalities in April for the years 2009 to 2019. Find the range of the data. Stem Leaf 7 2 889 9 10 11 15 4 1 2 6 1 3 4 3 Key 13 0=130
What is the algebraic expression for half of a number?
The algebraic expression for half of a number is x/2.
What is the algebraic expression for half of a number?When we are working in algebra and we want to represent "a number", we use a variable for it.
We do this because "a number" can be any real number.
For example, we can say that a number is represented by the variable x.
Now, to write half of a number, we just need to divide our variable by 2, then we will get:
x/2
That is the algebraic expression.
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2\(\sqrt{48}\)-2\(\sqrt{32}\)
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I'll be helping your question today!
Let's do this step-by-step explanation!
\(2\sqrt{48} -2\sqrt{32}\)
\(2\sqrt{48} =8\sqrt{3}\)
\(2\sqrt{32} =8\sqrt{2}\)
\(=8\sqrt{3} -8\sqrt{2}\)
Answer:
\(8\sqrt{3} -8\sqrt{2}\)
Hopefully, this helps you!!
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Where do these two lines intercept on a graph y= -2x+9 and y=3x-6
These two lines intercept on a graph on the coordinate X(0, 1) Y(9, 7).
How to find this?The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.
step1
y=-2x+9
graph the line using the slope and y intercept or two points
y=-2x+9
X(0,1) Y(9,7)
step2
y=3x-6
slope 3 y intercept (0,-6)
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a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
plsssssssssss help me
Answer: 40
Step-by-step explanation:
38+ 52=90
230-90=40
I need help with that plzzzzzz
Answer:
.25 or 25%
Step-by-step explanation:
I simplied it to 30 and 7 so then I expiremended with different percents and got that 25 percent equals 7.5 so I checked it and is 25 %
Help fast plz I really need help with this!!! And thank you
Answer:
the board gets cut into two pieces
Step-by-step explanation:
5/14 is half of 5/7
Answer:
I do believe the answer is 2
Step-by-step explanation:
you need a common denominator so you multiply 5/7 by two to make 7, 14. What you do to the bottom you do to the top so your fraction turns into 10/14. She cuts pieces that are 5/14 long so 10/14-5/14=5/14-5/14=0 so she cuts 2 pieces
Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y ? 4x)i -(4z ? 5y)j - (3y ? 2x)k D: The cube bounded by the planes x= plus or minus 1, y= plus or minus 1, and plus or minus 1 The outward flux is
The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.
The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.
Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.
Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.
In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.
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Pls help and Find the length
The question is wrong because as the given angle is 90, the hypotenuse(11cm) should be greater than 16cm
Answer:
cant solve
Step-by-step explanation:
(sorry im not good at english) because there is no right triagle in which the length of the side of the right angle is greater than the length of the hypotenuse.
Mr. and Mrs. Bell have twin daughters and a son. Mr. Bell is four years older than Mrs. Bell.
Mrs. Bell is three times as old as their twin daughters. Their son is seven years younger than the
twins. The sum of the five ages is 150. If x represents the age of the twin daughters, write an
equation and solve to find the age of each family member. (BE SURE TO WRITE LET
STATEMENTS FOR EACH PERSON)
pls
The age of each family member is;
Mr. Bell = 55
Mrs. Bell = 51
Their twin daughters = 17 each
Their son = 10
How to determine the expressionIt is important to note that algebraic expressions are defined as expression that are composed of terms, variables, constants, factors and coefficients.
From the information given, we have;
Let x be the ages of the twin daughters
Mrs. Bell = 3x
Mr. Bell = 3x + 4
their son = x - 7
Total sum of their ages = 150
Then, we have;
3x + 4 + 3x + x + x + x - 7 = 150
collect the like terms
3x + 3x + x + x + x = 150 + 7 - 4
add the like terms
9x = 153
Divide the values
x = 17
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If two angles are supplementary to the same angle, then:
a. They are adjacent angles
b. They are congruent angles
c. They are complementary angles
d. They are congruent supplementary angles
The option D is the correct answer.
a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.
b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.
c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.
d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.
To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.
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2. original: $20.00
percent of discount: 40%
And explain why
Answer:
because u loss $12 I think
10. The measure of an exterior angle of a triangle is A. equal to the sum of non-adjacent interior angles. B. less than the sum of two remote interior angles. C. greater than the sum of two remote interior angles. D. always 180°
Answer: d is the answer it
an aircraft seam requires 27 rivets. the seam will have to be reworked if any of these rivets is defective. suppose rivets are defective independently of one another, each with the same probability. (round your answers to four decimal places.)
The probability of at least one defective rivet in a seam requiring 27 rivets, assuming they are independently defective with the same probability, is approximately 68.3%.
To solve this problem, we can use the concept of probability and the binomial distribution.
The probability of a rivet being defective is denoted by "p". Since each rivet is defective independently of the others, the probability of a rivet not being defective (i.e., being good) is 1 - p.
The seam will need to be reworked if any of the 27 rivets is defective. Therefore, we want to calculate the probability that at least one rivet is defective.
The probability of at least one defective rivet can be found using the complement rule: subtracting the probability of no defective rivets from 1.
The probability of no defective rivets is given by (1 - p) raised to the power of 27 (since each rivet is independent).
So, the probability of at least one defective rivet is:
P(at least one defective rivet) = 1 - P(no defective rivets)
P(at least one defective rivet) = 1 - (1 - p)^27
Now, we can substitute any desired value for the probability of a defective rivet, "p," to calculate the probability of at least one defective rivet.
For example, if we assume a defective rivet probability of p = 0.05 (5%), the calculation would be as follows:
P(at least one defective rivet) = 1 - (1 - 0.05)^27
P(at least one defective rivet) ≈ 0.683
Therefore, with a 5% probability of a rivet being defective, the probability of at least one defective rivet in the seam is approximately 0.683 or 68.3%.
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if you flew a kite at 2;20 and ended at 3;14 . how many minutes did you fly the kite ?
Answer:
Step-by-step explanation:
54 minutes
Answer:
54 minutes
Step-by-step explanation:
20+ 40 = 60
40+ 14 = 54 minutes
You flew for 54 minutes.
Write the equation in factored form then stayed the X intercepts
Step 1
Given;
\(y=x^2+x-20\)Required; To write the equation in factored form
Step 2
Find the two factors that when added gives you x and when multiplied gives -20x²
\(\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}\)\(\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}\)Step 3
State the x-intercept
\(\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}\)Hence, the x-intercepts are;
x=4
x=-5
Let U={a,b,c,d,e,f,g,h,i,j,k} Let A={a,c,d,f,g,i} Let B={b,c,d,f,g} Let C={a,b,f,i,j} Deteine A∩C Choose the correct answer below and, if necessary, fill in the answer box in your choice. A. A∩C={} (Use a comma to separate answers as needed.) B. A∩C is the empty set. Let U={a,b,c,d,e,f,g,h,i,j,k} A={a,c,f,g,h,i}, B={f,g,h,i,k}, C={a,c,e,f,k}. Deteine A∪(C∩B) ′
We take the union of set A and the complement of C∩B. A∪(C∩B)′ = {a, c, f, g, h, i} ∪ {a, b, d, e, g, h, i, j, k} = {a, b, c, d, e, f, g, h, i, j, k}, A∪(C∩B)′ = {a, b, c, d, e, f, g, h, i, j, k}.
To determine the intersection of sets A and C, we need to find the elements that are common to both sets. Set A contains the elements {a, c, d, f, g, i}, and set C contains the elements {a, b, f, i, j}.
The intersection of sets A and C, denoted as A∩C, represents the elements that are present in both sets. Looking at the elements in A and C, we can see that the common elements are "a" and "f". Therefore, A∩C = {a, f}.
Now let's move on to the second part of the question.
To determine A∪(C∩B)′, we need to evaluate the union of set A and the complement of the intersection of sets C and B.First, we find the intersection of sets C and B, which contains the common elements of both sets. Set C∩B = {c, f}. The complement of this intersection is found by considering the elements in the universal set U that are not in C∩B.The universal set U contains the elements {a, b, c, d, e, f, g, h, i, j, k}, and the intersection C∩B contains the elements {c, f}. Thus, the complement of C∩B is obtained by finding the elements in U that are not in {c, f}, resulting in {a, b, d, e, g, h, i, j, k}.Finally, we take the union of set A and the complement of C∩B. A∪(C∩B)′ = {a, c, f, g, h, i} ∪ {a, b, d, e, g, h, i, j, k} = {a, b, c, d, e, f, g, h, i, j, k}. Therefore, A∪(C∩B)′ = {a, b, c, d, e, f, g, h, i, j, k}.
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Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the number of ant legs, 1. Katie writes a=6•1 and Lukas writes a=1/6•1 whose equation do u agree with
the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
Katie's equation is a=6•1, which states that the number of ants (a) is equal to 6 times the number of ant legs (1). Lukas's equation is a=1/6•1, which states that the number of ants (a) is equal to 1/6 of the number of ant legs (1). Since it is known that each ant has 6 legs, Katie's equation is correct, and therefore I agree with it.
The correct equation for the proportional relationship between the number of ants and the number of ant legs is a=6•1, which states that the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
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Find the measurement of angle ABC
Answer:
x=97° a=97° b=97°
Step-by-step explanation:
83°+a=180° (by linear pair)
a=180°- 83°
a=97
and a=x°(by corresponding angle)
x= 97°
x=b(by vertical opposite angle)
b = 97°
Use the below information for questions 2a - 2b:
State Probability Return on A Return on B Return on C
Boom 0.30 0.35 0.25 0.10
Average 0.50 0.20 0.15 0.25
Bust 0.20 0.05 0.10 0.35
2a. Find the Mean and Variance of Asset A
2b. Find the Correlation coefficient of A and C
Answer to 2a: The mean of Asset A is 0.235 and the variance is 0.0123
Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).
2a. Mean of Asset A (Expected Value):
The mean of Asset A (E(A)) can be calculated as:
\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)
where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.
Using the given information, we have:
Boom:
\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)
Average:
\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)
Bust:
\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)
Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)
2b. Correlation Coefficient of A and C:
The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:
\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)
where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.
Using the given information, we have:
Boom:
\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)
Average:
\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)
Bust:
\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)
Now, we calculate the standard deviations of Assets A and C:
\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)
\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)
Finally, we can calculate the correlation coefficient:
Boom:
\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)
Average:
\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)
Bust:
\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)
Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)
Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)
Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).
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evaluate 5/8 - (1/4)2
Answer The answer will be 0.125
Step-by-step explanation:
Three times two more than some number :
Answer:
5
Step-by-step explanation:
Answer:
6+x
Step-by-step explanation:
3(2)+x
6+x
This is so hard help
Answer:
42
Step-by-step explanation:
Answer:
Ik it
Step-by-step explanation:
a personnel director for a corporation has hired ten new engineers. if three (distinctly different) positions are open at a cleveland plant, in how many ways can she fill the positions?
There are 720 ways that personnel director for a corporation fills the positions
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 10r = 3Applying the permutation formula we have:
nPr = n! / (n-r)!
10P3 = 10! / (10-3)!
10P3 = 10! / 7!
10P3 = 10*9*8*7! / 7!
10P3 = 10*9*8
10P3= 720
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Find the solution if x=6, y=8, and z=3
2x + 3y - z
Answer:
33
Step-by-step explanation:
2(6) + 3(8) - 3
12 + 24 + - 3 = 33
Answer:
33
Step-by-step explanation:
2(6) +3(8) -3
how can you use division to find the decimal equivalent of a rational number ?
Answer:
Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.
Step-by-step explanation:
solve |2x-6|<0 not urgent. But its for a test
The inequality expression given as |2x - 6 | < 0 has a solution of x > 3
How to solve the inequality?From the question, the inequality is given as
|2x-6|<0
This gives
|2x - 6 | < 0
Remove the absolute bracket
So, we have the following representation
2x - 6 > 0
Add 6 to all sides of the inequality
So, we have
2x - 6 + 6 > 0 + 6
Evaluate the like terms
So, we have
2x > 6
Divide through by 2
x > 3
Hence, the solution to the expression is x > 3
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In the diagram, x is a negative number. and it is closer to zero than y.y is a positive number. which expression must be negative
Answer:
you already click the answer
Step-by-step explanation: