Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape
Answer:
circle
radius
infinite
Step-by-step explanation:
have a wonderful day <3
If z is the complex number then IzI = 5 represents the equation of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle.
IzI = 5.
The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.
And the modulus represents the radius of the circle.
Therefore, the modulus represents the radius of the circle.
To learn more about the circle;
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Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)
Answer:
8
Step-by-step explanation:
4x2=8
Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.
A. 20
b. 5
c. 40
d. 45
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
what is a decimal in mathematics
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)
Can someone please help me I will mark u brilliant
Answer: 6.50 + 5.75n
Step-by-step explanation:
Answer:
6.50 + 5.75n
Step-by-step explanation:
because since it said let n equal the number of hours AFTER the FIRST hour.
(just have to read the question carefully)
How many fifths must be added to 3.4 to total 4?
Please Help Immediately
How many 1/3s are in 1 2/3?
Answer:
12
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3/3+2/3 = 5/3
Answer is 5
What is z if x = 25, u = 22, o= 6, and
n = 9?
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answer:
what's the equation????
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
can someone plz help
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Struggling with these last two. Thanks so much!!
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
Determine whether each ordered pair is a solution of the inequality-3x-4y<6
Answer:
it's (6,0) I can't explain though
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4
Answer:
B
Step-by-step explanation:
Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?
a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.
Answer:
b. The fitted regression line is approximately Y = 82.42(runtime)
Step-by-step explanation:
The regression line is Y= aX + b
here b= 82.42 a = -3.31
Hence the regression equation is
Y= 82.42- 3.31 X
where x is the runtime and the slope is given by b.
Option a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
Option b is incorrect because the runtime is not given by Y it is given by X.
Option C is correct as
Y= 82.42-3.31*10
Y= 82.42-33.1
Y= 49.32 almost 50
Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.
Option e is also correct because the slope is given by b and b= 82.42
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
What is the measure of arc BC?
9514 1404 393
Answer:
100°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BEC, so is ...
arc BC = 2×50°
arc BC = 100°
Answer:
Step-by-step explanation:
The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.
Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45
Answer:
c
Step-by-step explanation:
line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answer:
D
Step-by-step explanation:
Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams. How much heavier was Dionne’s piece, in kilograms?
A 0.5 C 50
B 5 D 500
Answer:
D: 500
Step-by-step explanation:
This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?
XxRoadToAcexX
Which figure shows a reflection of pre-image QRS over the line t?
I need help PLSSSSS 50 points!!!
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Find the value of x or y so that the line through the points has the given slope.
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6