what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?
Answer:
[tex]Width = 14feet[/tex]
Step-by-step explanation:
Given
[tex]Area = 154[/tex]
[tex]Width = 11[/tex]
Required
The length
Area is calculated as:
[tex]Area = Length * Width[/tex]
Make Width, the subject
[tex]Width = \frac{Area}{Length}[/tex]
So, we have:
[tex]Width = \frac{154}{11}[/tex]
[tex]Width = 14feet[/tex]
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form
Answer:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo
Step-by-step explanation:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargoCan someone help me please???
Simplify.
(x^5)^4
Answer:
x^20 please mark me brainliest
Step-by-step explanation:
20)
The cost (C) of materials for a deck varies jointly with the width (w) and the length (1).
If c = $470.40 when w = 12 and 1 = 16, find the cost when w = 10 and I = 25? Be sure to respond in
complete sentence that explains your answer in relation to the question
Answer:
u mad bruv? xD Xd DxD XDXDXDdd
Step-by-step explanation:
Donna is participating in a 6-day cross-country biking challenge. She biked for 51, 62, 61, 47, and 63 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 56 miles per day?
Answer:
52 miles
Step-by-step explanation:
total miles needed to average 56
56 * 6 = 336
miles after 5 days
51 + 62 + 61 + 47 + 63 = 284
miles needed on last day
336 - 284 = 52 miles
Please help!!! I am stressed so much!!
Answer:
You have to simplify the fraction and turn it into a decimal.
Step-by-step explanation:
Meaning: Make the fraction smaller and turn it into the correct decimal.
EXAMPLE:
2/4 simplified is 1/2
1/2 is equal to 0.50
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
I have no idea pls help
Answer:
Area= 90
Step-by-step explanation:
triangle area: (b x h) / 2
(12 x 15) / 2
(180) / 2
a= 90
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
Help Please?! ?????????????
Answer:
Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.
Step-by-step explanation:
To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.
So what would be the answer?
Answer:
i
Step-by-step explanation:
Answer:
did you forget a picture?
Step-by-step explanation:
if you did, either add it in the comments, or make a new question
Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
To know more about the approximation value
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(a) 34 is 85% of what number?
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
Solve the system of equations.
2y+7x=−5
5y−7x=12
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
Express 848.41 m in millimeters
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
WILL GIVE BRAINLIEST
Answer:110 degrees
Step-by-step explanation:
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
The Smiths painted their house blue. The complete predicate of this sentence is _____.
Smiths
the Smiths
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
∠A and ∠G
Step-by-Step Explaination:
I did it on
E
D
G
E
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I
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Match each pair of Lines to the correct description
parallel lines
EP and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD
Answer:
Parallel = AB and CD
Perpendicular = EF and CD
Neither: GH and EF
Step-by-step explanation:
Parallel lines will go on forever without touching, they are aligned with each other.
Perpendicular lines intersect with 4 right angles
The Parallel lines are AB and CD and Perpendicular lines are EF and CD.
It is required to find the solution.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The given figure shown as four lines are given AB , CD ,EF , CD ,GH and EF.
According to given question we have
Parallel = AB and CD
Perpendicular = EF and CD
Neither parallel nor perpendicular lines: GH and EF
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions
Perpendicular lines are lines that intersect at a 90-degree angle.
Therefore , the Parallel lines are AB and CD and Perpendicular lines are EF and CD.
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y = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5