Answer:
$52.50
Step-by-step explanation:
Multiply $50 by 0.03 to find the tax = 1.5
Multiply $50 by 0.02 to find tip = 1
add $50 to 1.5 and 1 to get $52.50
Con los datos que proporciona Alicia te da el número complejo z2=-2-2i. Debes obtener el opuesto, el conjugado y el afijo?
Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Definición de número complejoLos números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.
Esto es: z= a +bi
donde:
a es un número real. b es la parte imaginaria. i es la unidad imaginaria. Opuesto de un número complejoDado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.
Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.
Conjugado de un número complejoDado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.
Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.
Afijo de un número complejoLos números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)
Opuesto, conjugado y afijo de z=-2-2iConsiderando las correspondientes definiciones:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Aprende más sobre números complejos:
https://brainly.com/question/5564133
what is the value of the expression 9(5)-x/y
when x= 15 and y=3
a.)5
b.)10
c.)15
d.)20
Answer:
(B) 10
Step-by-step explanation:
x = 15
y = 3
---------------------------------
9(5) - x / y =
45 - 15 / 330 / 310 (B)The value of the given expression [tex]\dfrac{9(5)-x}{y}[/tex] is 10 when x = 15 and y = 3. So, the correct answer is (b) 10.
An expression is a combination of numbers, variables, mathematical operations, and many more.
To obtain the value of the given expression, the values of x and y will be inserted in the expression and the concepts of PEMDAS will be used.
Let's assume that the given expression is as follows:
[tex]z = \dfrac{9(5)-x}{y}[/tex]
Substitute x = 15 and y = 3 in the given expression:
[tex]z = \dfrac{9(5)-x}{y}\\z = \dfrac{9(5)-15}{3}\\z = \dfrac{45-15}{3}\\z = \dfrac{30}{3}\\z = 10[/tex]
Therefore, option (d) is correct, i.e., for x = 15 and y = 3, the value of the given expression is 10.
Learn more about Expressions here:
https://brainly.com/question/34132400
#SPJ3
task 486 angles in a triangle
Answer:
Angles in a triangle adds to 180
Step-by-step explanation:
Hope this helps!
100 points! need asp tho
Which of the rulers are similar in shape? Explain.
Carly spends 9 hours each day working at her job. What percentage of her day does she spend at work?
Answer: 37.5%
Step-by-step explanation:
A house plan shows a scale of 1 : 40. If the rectangular lounge room of the house is to measture 4.5 metres by 6.3 metres, what is the area of the lounge room on the plan
What is the measure of angle DBA?
1.) 39
2.) 69
3.) 59
4.) 49
Answer:
3.
Step-by-step explanation:
Since angle DBC and DBA are supplementary (they add up to a straight angle-180 degrees) we can subtract 121 from 180 and find out the answer of angle DBA.
Answer:
3.............
................
Determine whether the graph below is that of a function by using the vertical-line
test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts if any.
(C) any symmetry with respect to the x-axis, y-axis, or the origin.
solve the simultaneous equations
Answer:
Step-by-step explanation:
2x + 3y = 2
x = 2 - 3y /2
x + y = 0
substitute the value of x
[tex]\frac{2 \\- 3y}{2}[/tex] + y = 0
2 - 3y + 2y = 0
2 = y
again,substitute the value of y
x = 2 - 3y / 2
=2 - 3*2 / 2
=2 - 6 / 2
=-2
Answer:
x = 2, y = -2
Step-by-step explanation:
This is an alternate way. You can also solve simultaneous equations using matrices. First, rewrite the simultaneous equations in matrix form.
[tex]\displaystyle \large{\left[\begin{array}{ccc}2&3\\1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}2\\0\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A= \left[\begin{array}{ccc}2&3\\1&1\end{array}\right]}\\\displaystyle \large{X = \left[\begin{array}{ccc}x\\y\end{array}\right]}\\\displaystyle \large{B =\left[\begin{array}{ccc}2\\0\end{array}\right]}[/tex]
So now we have [tex]\displaystyle \large{AX = B}[/tex] and we have to solve for X which:
[tex]\displaystyle \large{A^{-1}AX = A^{-1}B}\\\displaystyle \large{X = A^{-1} B}[/tex]
Where:
[tex]\displaystyle \large{A^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]}[/tex]
**ad-bc is determinant of 2*2 matrices and shortened as det(var) or |var|**
Therefore, from A:
a = 2b = 3c = 1d = 1Find detA:
[tex]\displaystyle \large{\det A = |A| = ad-bc = 2(1)-3(1) = 2-3 = -1}[/tex]
Therefore, detA = -1. Hence:
[tex]\displaystyle \large{A^{-1}=-1\left[\begin{array}{ccc}1&-3\\-1&2\end{array}\right]}[/tex]
And [tex]\displaystyle \large{X = A^{-1}B}[/tex]:
[tex]\displaystyle \large{X = -1\left[\begin{array}{ccc}1&-3\\-1&2\end{array}\right] \left[\begin{array}{ccc}2\\0\end{array}\right] }[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X = -1\left[\begin{array}{ccc}1 \cdot 2-3 \cdot 0\\-1 \cdot 2+2\cdot 0\end{array}\right] }\\\displaystyle \large{X = -1\left[\begin{array}{ccc}2-0\\-2+0\end{array}\right] }\\\displaystyle \large{X = -1\left[\begin{array}{ccc}2\\-2\end{array}\right] }\\\displaystyle \large{X = \left[\begin{array}{ccc}-2\\2\end{array}\right] }\\\displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-2\\2\end{array}\right] }[/tex]
Therefore, x = -2 and y = 2.
609,982 + -17,237 - 415
Answer: 592330
Step-by-step explanation:
-17237-415=. -17652-17652 + 609,982= 592,330Your answer is. 592,33O.
Terry is making 3 hat and scarf sets. Each scarf requires 2 yards of material and each hat requires 30 inches
of material.
How many feet of material does he need for all 3 hat and scarf sets?
He will need
feet of material for all 3 hat and scarf sets.
Answer: 25.5 feet
Step-by-step explanation:
if each hat requires 30 inches of material, then 3 hats will require 3(30) = 90 inches.
if each scarf requires 2 yds of material, then 3 scarfs will need 3(2) = 6 yds.
The question wants us to give our answer in feet, so we will be converting:
Using 12in = 1ft:
90 in = 90/12 feet = 7.5 feet
Using 1 yd = 3 ft:
6 yds = 6(3) = 18 feet.
Now that the units are the same, we can add them up to get our answer:
7.5 + 18 = 25.5 feet
So Terry will need 25.5 feet of material to make 3 sets of hat and scarves.
A real life scenario could be like earning 15 dollars.
need written response
Answer:
Step-by-step explanation:
first of all you need to do is make a lemonade stand and make the lemonade taiste good then you can sell it for 15 dollars which is a good price to get you started with your life
I need help with all these 5 questions please please help me with these questions
Answer:
1. (4,5) 2. D 3. J 4.D 5. 64.8 oz
Step-by-step explanation:
math
Crystal earns $5.50 per hour mowing lawns.how much does crystal earn if she works 3 hours and 45 minutes
According to a PNC Financial Independence Survey released in March 2012, today’s adults in their 20’s “hold an average debt of about $45,000, which includes everything from cars to credit cards to student loans to mortgages. (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20’s has a mean of $45,000 and a standard deviation of $12,720. Find the probability that the average debt of a random sample of 144 U.S. adults in their 20’s is: a) Less than $42,600 b) More than $46,240 c) $43,190 to $46,980
Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 45000[/tex].The standard deviation is of [tex]\sigma = 12720[/tex].A sample of 144 is taken, hence [tex]n = 144, s = \frac{12720}{\sqrt{144}} = 1060[/tex].Item a:
The probability is the p-value of Z when X = 42600, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{42600 - 45000}{1060}[/tex]
[tex]Z = -2.26[/tex]
[tex]Z = -2.26[/tex] has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46240 - 45000}{1060}[/tex]
[tex]Z = 1.17[/tex]
[tex]Z = 1.17[/tex] has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:
X = 46980:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46980 - 45000}{1060}[/tex]
[tex]Z = 1.87[/tex]
[tex]Z = 1.87[/tex] has a p-value of 0.9693.
X = 43190:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{43190 - 45000}{1060}[/tex]
[tex]Z = -1.71[/tex]
[tex]Z = -1.71[/tex] has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Pls help with this math
Answer:
44.58
Step-by-step explanation:
[tex]v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3} (3.14)(2.2)^3=44.58[/tex]
Which triangle has hypotenuse Side B F?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BFE
triangle BFH
triangle BFD
triangle BFG
PLEASE HELP!
Answer:
BFG
Step-by-step explanation:
The segment BF is the diagonal of the top face of the cube (GBCF)
Therefore, it is the hypotenuse of ΔBFG and ΔBFC
See attached diagram for visual of the cube.
Find all values of y such that the distance between (1. y) and (-3. - 6) is 5 units. Express numbers as integers, simplified fractions, or radicals.
Answer:
Step-by-step explanation:
Distance = d
d² = [1 - (-3)]² + [y - (-6)]²
5² = 16 + (y + 6)²
25 = 16 + (y + 6)²
(y + 6)² = 25 - 16 = 9
y + 6 = ±3
y = -6 ±3
so
y = -3 or -9
A prism is completely filled with 80 cubes that have edge length of 1/2 cm
What is the volume of the prism?
Enter your answer in the box.
cm3
The answer is 40cm in cube 3
Write the inequality shown in the diagram on the left.
Answer:
x<3
Step-by-step explanation:
The answer is x<3.
If the point were filled it would be one of these for example ≥
What is the equation of the blue line?
Answer:
y = 1/4x + 1Step-by-step explanation:
There will be a +1 becuase the lines y intercept is +1.
We can then take two points on the line and then find the slope through them.
(0,1) and (4,2). 4-0 and 2-1.
4 and 1. The slope is 1/4.
y = mx + b
y = 1/4x + 1
3 ln x = ln 16 + ln 4. Solve for x.
Please walk me through which log rule to use once you get to the point:
ln x = (ln 16 + ln 4)/3
Answer:
4
Step-by-step explanation:
[tex] ln(x) = ln(16) + ln(4) [/tex]
Use the Produxt Rule
[tex] ln(a) + ln(b) = ln(a + b) [/tex]
Remeber that Ln is a log function with base e,
so know we have
[tex]3 ln(x) = ln(64) [/tex]
[tex] ln(a) = ln(b) [/tex]
Only if a=b So we have
x^3=64
x=4
[tex]x = 64[/tex]
Step-by-step explanation:
See the picture for steps
what is 3x +5+4 (x+2) +2
Answer:
4x+13
Step-by-step explanation:
Answer:
7x+15
Step-by-step explanation:
what is 613157 rounded to the nearest hundred thousand
Answer:
600,000
Step-by-step explanation:
Your answer would be 600,000 because in the hundred thousands place there is a 6.
And that 6 in the hundred thousands place is asking the ten thousands place for help also the digit in the ten thousands place is a 1.
So if you know the rule the 6 can't round up because the 1 is below 4./the rule is 4 and below keep it low 5 or more give it one more.
Ok so the 1 is below 4 and can't bring 6 up so 6 has to stay in it's lane at 600,000
Hope this helps have a great afternoon:)
Answer:
Its 600000
Step-by-step explanation:
Hundred thousand refers to 6 numbers so we look at the number after 6 and its less than 5 so we round it back to 0
9 Yuki and Roman are photographers for the yearbook. Yuki starts with 20 photos.
She then takes 60 photos each week. Roman starts with 110 photos. He then takes
35 photos each week. After how many weeks will Yuki and Roman have taken the
same number of photos? Write a system of equations that can be used to solve the
problem. Write your answers in the blanks.
P=
W +
p=
W +
Ms. Williams asked her class if they prefer doing their homework before school to students who prefer doing homework after school is 7:15 what does the ratio 7/22
Answer:
The number of students that prefer to do homework from the group of all students
Step-by-step explanation:
The question says that the ratio between the student who prefer doing homework before school and the students who prefer doing homework after school is 7:15.
That means 7 students prefer doing homework before school and 15 students prefer doing after school.
In this scenario, the total number of students is 7 + 15 i.e. 22
So the percentage 7/22 is the number of students that prefer to do homework before school from the group of all students
help someone please sjsj
Answer:
17
Step-by-step explanation:
Seeing that traingle ABC is = to triangle DEF.
It means that the angles are equal too.
So you would equate them to each other.
Hence 5X+2=87
5X=87-2
5X=85 (divide by 5)
X=17
Hope that helps :)
Mari's watch gains 3 minutes every hour. Find the percentage error in Mari's watch at the end of one hour.
I will give you a boba drink if you answer :D <3
Answer:
Mari watch died of eating Boba drinks
What is the area of this figure
• 58m2
• 68m2
• 90m2
• 98m2
Answer:
[tex]\huge\boxed{\sf 58\ m\²}[/tex]
Step-by-step explanation:
The figure is made up of two rectangles.
Larger rectangleSmaller rectangleArea of the larger rectangle:
Length = 5 m
Width = 10 m
= Length × Width
= 5 × 10
= 50 m²
Area of smaller rectangle:
Length = 4 m
Width = 2 m
= Length × Width
= 4 × 2
= 8 m²
Area of the figure:
= Area of larger rectangle + Area of smaller rectangle
= 50 + 8
= 58 m²
[tex]\rule[225]{225}{2}[/tex]