The given expression gives the complex number:
N = 1 + 0i
How to add and subtract complex numbers?Here we want to simplify the expression:
N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i
Where i is the complex number, now we can just separate the terms with i and the terms without i.
N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i
= (1/4 + 3/4) + (-4i - 5i - 8i + 17i)
= ( 1) + (-4 - 5 - 8 + 17)i
= 1 + 0i
That is the complex number that comes out of the given expression.
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Answer:
huh
Step-by-step explanation:
Which must be true by the corresponding angles
theorem?
041 = 27
42 = 26
23 45
25= 27
The corresponding angles are ∠2 and ∠6 i.e., ∠2≅∠6 according to the corresponding angles theorem. So, option 2 is correct.
What is the corresponding angle theorem state?The theorem states that,
The lines 'AB' and 'CD' are parallel and cut by a transverse 'EF' if and only if their corresponding angles are congruent.
Corresponding angles:The corresponding angles are those which lie on the same side of the transverse one is interior and the other is an exterior angle.
From the diagram,
Lines 'AB' and 'CD' are parallel and line 'EF' cuts these parallel lines.
So, the corresponding angles formed are:
(∠1, ∠5), (∠2, ∠6), (∠3, ∠7), and (∠4, ∠8)
According to the theorem, they are congruent. I.e.,
∠1 ≅ ∠5
∠2 ≅ ∠6
∠3 ≅ ∠7
∠4 ≅ ∠8
So, option 2 is correct.
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Disclaimer: The given question is incorrect. Here is the correct question.
Question: Lines 'c' and 'd' are parallel lines cut by the transversal 'p'. Which must be true by the corresponding angles theorem?
1) ∠1 = ∠7
2) ∠2 = ∠6
3) ∠3 = ∠5
4) ∠5 = ∠7
The periodic time, t, of a pendulum varies directly as the square root of its length, l. t = 6 when l = 9. find t when l = 25.
The periodic time, t, of a pendulum range directly as the square root of its length, l. t = 6 when l = 9. If l = 25 then the periodic time, T exists at 10.
What is periodic time?The period, or periodic time, of a periodic variation of a quantity, exists described as the time interval between two consecutive repetitions.
Given: The periodic time, t, of a pendulum goes directly as the square root of its length, l if t = 6 when l = 9.
If [tex]T \alpha\ l^2[/tex] then [tex]T^2[/tex] α [tex]\sqrt{l}[/tex]
[tex]T^2 = l[/tex]
Let, [tex]T^2 = kl,[/tex] where k exists constant
t = 6 when l = 9.
So, [tex]6^2 = k*9[/tex]
[tex]k = 6^2/9 = 4[/tex]
[tex]T^2 = 4*l[/tex]
If l = 25
[tex]T^2 = 4 * 25 = 100[/tex]
[tex]T = \sqrt{100}[/tex]
T = 10
Therefore, the periodic time, T exists 10.
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a recently televised broadcast of a popular televison show had a 15 share, meaning that among 5000 monitored households with TV sets is use, less than 20% were turned in to the show. find the p-value
a) 1.9998
b) 0.9999
c) 0.0002
d) 0.0001
The p-value from the information about the recently televised broadcast is B. 0.9999.
How to get the p-value?From the information given, n = 5000 and the level of significance is 0.01.
The computed z value is -8.84.
From the z table, the probability value is the value corresponding to the row 8.8 and column 0.04.
This will give a value of 0.9999.
In conclusion, the correct option is B.
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Help please !!!!!!! Need helppppp
Answer:
option c
Step-by-step explanation:
option c is a correct answer
Which value of y completes the proportion?
18/27 = 2/y
A. 1
B. 2
C. 3
D. 9
I picked c.) 3 am I right?
Answer:
c. 3
yes you are right, good job!!
Step-by-step explanation:
18 divided by what equals 2?
18 / 2 = 9 so 18 / 9 = 2
so 27 / 9 = y which y = 3
check: 9 x 3 = 27
Answer:
Yes, C
Step-by-step explanation:
18/2 = 9 so you need to divide 27 by 9 to get 3
Change
3
-
4
to a percent
Answer:
75%
Step-by-step explanation:
3/4 ie 75/100. .........edge
Explain what is meant by intercepts with the axes give examples of y and x intercepts
Intercepts with the axes are where your line touches the x or y axis. An example is a straight line, say, y=4x+2. In this case, the y-intercept is 2 because the line touches the y-axis at (0, 2). With y=mx+b format, the y-intercept is b. To find the x-intercept of an equation in y=mx+b format, set y to zero and solve for x. In a parabola, the x-intercepts would be the roots. An example of this is x^2 - 5x + 4 = 0. The roots here are (4,0) and (1,0). Hopefully this helped.
How would i kill a snake with fractions? it's on my homework question... i dont get it at all
Just me:
? I will just explain what I understand
Answer:
(Think hard) If you cut a snake in half you get 1/2 but if you cut it into 4's 1/5
I tried.
If g(x)=-2x), which graph is the graph of function g?
Answer:
The graph of g(x) has a y-intercept at (0,0) and a slope of -2.
What is the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3?
The value of the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3 is 16.94%
How to solve for the mean absolute percentage errorThe equation is given as
∝At + (1-∝) Ft
The value for Alpha = 0.7
1 - ∝ = 1 - 0.7
= 0.3
Forecast in match = 62
Ft = 51. 5
the difference = 62 - 51.5
= 10.5
The error = 10.5/62 * 100
= 16.94%
Hence the value of the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3 is 16.94%
Complete question
The past demand data shown below can be regarded as stationary.
Month Demand
January
50
February
55
March
62
April
45
What is the mean absolute percentage error of the forecast for March found by the exponential smoothing method with a smoothing constant of 0.3?
O a. 14.68%
Ob. 16.94%
O c. 12.57%
Od. 11.33%
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Y=2x^2+2x-4 what is the x intercepts for the parabola
Answer:
Step-by-step explanation:
To find the x intercepts, substitute in 0 for y and solve for x
So,
2x^2+2x-4 = 0
2(x^2+x-4) = 0
2/2(x^2+x-4) = 0/2
x^2+x-4 = 0
(x-1) (x+2) = 0
now,
x-1 = 0
x = 1
or
x+2 = 0
x = -2
The x intercepts for the parabola (1,0), (-2,0)
The total cost charged for a day of fun at Aussie World consists of an entry fee of $15 and a rate of $3 per ride. Write the rule for the total cost, C, where r rides are taken.
C = 3r + 15 is the rule for the total cost, C, where r rides are taken given that the total cost charged for a day of fun at Aussie World consists of an entry fee of $15 and a rate of $3 per ride. This can be obtained by converting the statements to algebraic equation with variables and constants.
Find the rule for the total cost:Here in the question it is given that,
The total cost charged for a day of fun at Aussie World consists of
an entry fee of $15 a rate of one ride is $3We have to find a rule for the total cost, C, where r rides are taken.
For one ride the rate is 3 ⇒ therefore for r rides the rate is 3r
We can convert the statements to algebraic equation so that we get the required rule,
⇒ The total cost consists of entry fee and rate of rides
⇒ The total cost = entry fee + rate of rides
⇒ C = 15 + 3r (from the given information)
⇒ C = 3r + 15
Hence C = 3r + 15 is the rule for the total cost, C, where r rides are taken given that the total cost charged for a day of fun at Aussie World consists of an entry fee of $15 and a rate of $3 per ride.
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?
What is the directrix of a parabola whose equation is (y +
3)² = 8(x-3)?
O x = 5
Oy = -5
Ox=1
Oy = -1
Done
The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)
What is the directrix of a parabola?
According to the given statement, we have a parabola of the form (y - k)² = 4 · p · (x - h), whose axis of symmetry is parallel to the x-axis. The directrix is always perpendicular to the axis of symmetry and therefore the equation of the directrix is equivalent to x = h - p, where p is the distance from the vertex to the focus.
If we know that the equation of the parabola (y + 3)² = 8 · (x - 3), the equation of the directrix is:
y = - 3 - 2
y = - 5
The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)
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Three fair, standard six-faced dice of different colors are rolled. In how many ways can
the dice be rolled such that the sum of the numbers rolled is 15?
These are some of the ways you can make 15 by adding three numbers together.
The first way is doing 6+6+3.There are some more ways to do it too.
2nd way is 6+4+5.
3. 1+6+6
4. 5+5+5
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
Answer:
its the 4th one i think
Step-by-step explanation:
Fifteen students were divided into two classrooms in a ratio of 1:2.
How many students were in each classroom?
The limits of the class intervals are
The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
This is further explained below.
What is the class limit?Generally, The lower class limit and the upper-class limits are just the minima and maximum values that are allowed in each class, respectively: The gap that exists between the upper-class limit and the lower class limit is referred to as the class interval.
In conclusion, The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
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A rental truck company charges a flat fee of $30 to rent a truck in addition to $0.25 per miles how much would it cost to rent a van for 80 miles
Answer:
$50
Step-by-step explanation:
x is distance and y is cost because the cost is dependent on the distance which makes the distance the independent variable. you can always use y=mx+b for these problems!!
The graph of the step function g(x) = –⌊x⌋ + 3 is shown.
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 2, 5) to (negative 1, 5). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, negative 1) to (5, negative 1).
What is the domain of g(x)?
{x| x is a real number}
{x| x is an integer}
{x| –2 ≤ x < 5}
{x| –1 ≤ x ≤ 5
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The function described is defined for x between -2 and 5, hence the domain is given by the following interval:
{x| –2 ≤ x <= 5}
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Answer:
{x| –2 ≤ x < 5}
Step-by-step explanation:
Sandy jogs 19.7 miles in 4.5 hours. How many miles does she jog per hour
Answer:
4.378 MPH
Step-by-step explanation:
Distance in Miles
MPH= -------------------------
Time in Hours
19.7/4.5 = 4.378 MPH
Question 2 (Essay Worth 10 points)
(08.02 MC)
A pair of equations is shown below:
y = 7x − 9
y = 3x − 1
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
part A: when you graph both y=7x-9 and y=3x-1 the two lines will intersect this is how you solve the graphing part of the system of equations.
Both of these lines are in slope form (y=mx+b) where m is the slope which is 7 and 3 and b is the y-intercept which is -1 and -9.
part B
7x-9=3x-1
subtract 3x from both sides
4x-9=-1
add 9 to both sides
4x=8
divide both sides by 4
x=2,
making y=3x-1 become:
y=3(2)-1=6-1=5,
the answer is (2,5)
Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.
Why is it called a quadratic equation?This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.
According to the given information:x²+4x=1
as, the x has coefficient 4.
so,
half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now,
make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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Clark earns $31 per hour. Calculate his weekly wage if he works 38 hours per week.
Answer:
1178 because 31 dollars an hour for 38 hours you would multiply or times 31 and 38 and get 1178 for total money earned
10 by 28 + - 32 by 49 rational number
pls answer it
thank you
By simplifying the fraction 10/28 ÷ 32/49 exists 35/64.
How to simplify fractions?The first stage of dividing fractions exists to estimate the reciprocal (reverse the numerator and denominator) of the second fraction. Subsequently, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if required.
To find the reciprocal of the divisor
Reciprocal of 32/49 = 49/32
Now, multiply it by the dividend, then we get
So, 1028 ÷ 3249 = 10/28 × 49/32
= (10 × 49)/(28 × 32) = 490/896
After decreasing the fraction, the answer exists at 35/64.
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I need help with this
Answer:
s = -24
Step-by-step explanation:
This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.
SolutionStep 1
Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.
[tex]7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}[/tex]
Step 2
Multiply both sides by the inverse of the coefficient of the variable.
[tex](6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
Alternate solutionOften, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.
Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.
[tex]7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.
CheckThe value we found for the variable can be checked in the original equation.
[tex]7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}[/tex]
The image of the point P(-3, 2) under the translation (2/1) is
The image of the point P(-3, 2) under the translation T<2,1> is (-1, 3)
How to determine the image of the translation?The coordinate point is given as:
P = (-3, 2)
The translation is given as
T<2,1>
The translation can be represented as:
(x, y) = (x + 2, y + 1)
So, we have the following equation
P' = (-3 + 2, 2 + 1)
Evaluate the sum
P' = (-1, 3)
Hence, the image of the point P(-3, 2) under the translation T<2,1> is (-1, 3)
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HELP HELP ASAP
Figure BBB is a scaled copy of Figure AAA.
What is the scale factor from Figure AAA to Figure BBB?
Answer:
figure A = 3 units
figure B = 9 x 3 = 27 units
scale factor =
[tex] \frac{3}{27 } = \frac{1}{9} [/tex]
so the scale factor = 9
can someone help me really quick
Answer:
-6
Step-by-step explanation:
Additive inverse is the number that when added to A gives a result of zero
A + inverse = 0
6 + inverse = 0
inverse = -6
graph the linear equation by plotting three points. 2y=-3+2
Answer:
Step-by-step explanation:
Convert 2y=-3x+2 into y=mx+b form
[tex]\frac{2y}{2} =\frac{-3x+2}{2}[/tex]
[tex]y=\frac{-3x}{2} +1[/tex]
Y intercept is 1, slope is -3/2
Graph looks like this:
In the graph above, which vertical line (V) and horizontal line (H) can be used to graph point D?
Question 5 options:
A)
V: x = –4; H: y = 4
B)
V: y = –4; H: x = –4
C)
V: y = 4; H: x = –4
D)
V: x = 4; H: y = 4
Answer: A. V: x = –4; H: y = 4
Step-by-step explanation: