An i is an imaginary value. So 7i is the imaginary part and 9 is the real part.
Hope this helps!!
Complex number is the number which is the combination of the real numbers and imaginary number. For the given complex number the real part is 9 and the imaginary part is 7.
Given information-
The complex number given in the problem is,
[tex]9+7i[/tex]
What is complex number?Complex number is the number which is the combination of the real numbers and imaginary number.
The complex number written in the form of,
[tex]a+bi[/tex]
Here [tex]a[/tex], [tex]b[/tex] are the real number and [tex]i[/tex] is the imaginary number called iota.
The value of the iota [tex]i[/tex] is,
[tex]i=\sqrt{-1}[/tex]
The complex number is made of two parts, the real part is [tex]a[/tex] and the imaginary part is [tex]b[/tex] for the above example.
Compare the given complex number with above complex number to find out the real and imaginary part of the complex number.
[tex]9+7i[/tex]
Here [tex]a[/tex] is 9 and [tex]b[/tex] is 7. Thus for the given complex number the real part is 9 and the imaginary part is 7.
Learn more about the real and imaginary parts of the complex number here;
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Holly, Maria and Johnny went to a fair over Spring Break. Holly paid $12.50 and went on one ride. Maria paid $15.00 and went on two rides. Johnny paid $20.00 and went on 4 rides. With x being the number of rides and y being the total amount paid, is the situation linear and why?
No. Between Holly and Maria there is an increase of $2.50 and between Maria and Johnny there is an increase of $5.00.
Yes. The y-intercept can be determined to be $10.00.
Yes. There is a constant rate of increase of $2.50 for each ride.
No. We are not given the initial cost if they went on no rides.
Answer:
Yes. There is a constant rate of increase of $2.50 for each ride.
Step-by-step explanation:
Lets write each persons cost and rides in the form y =mx+b
y being the total cost and x is the number of rides
Holly
(1 , 12.50)
Maria
(2,15)
Johnny
(4,20)
Lets calculate the slope
m = (y2-y1)/(x2-x1)
= (20-15)/ (4-2)
= 5/2
We can use the point slope form to determine b
y-y1 = m(x-x1)
y-20 = 5/2 (x-4)
Distribute
y-20 = 5/2x -20/2
Add 20 to each side
y-20+20 = 5/2x -10 +20
y = 5/2x +10
The slope or cost per ride is 2.50 and the y intercept is 10
Explain how to represent functions as graphs. Give an example.
Answer:
In order to represent functions as graphs, first we need to make a table of x and y values and plot those x,y values on the graph
Step-by-step explanation:
Suppose we have a statement as below:-
The cost of carrot is $2.50/lb
We can convert this statement into a function as
total cost = price per lb * weight of carrot bought
Let y be the total cost and x be weight of carrot bought
So,
y = 2.50 * x
where x is the independent variable and y is the dependent variable
A function represents an equation that shows the relationship between the input x and the output y.
The input x is also known as the Domain
The output y is also known as the Range
1) We can represent this function as a graph. In order to make a graph we need to begin by making a table containing inputs and their corresponding outputs.
Input, x (lb) Output, y ($)
0 0
1 2.50
2 5.00
3 7.50
The above table is generated by plugging in the values of x as 0, 1, 2, 3 into the function y=2.50*x and calculating the corresponding value of y
2) Now, we just need to plot the above pair of x,y values on the graph as shown in the attached figure.
Can someone help me on number 24?
Answer:
x must be less than or equal to 5 hours
Step-by-step explanation:
24. C= 2(x-2) +3
C must be less than 10
10> 2(x-2) +3
Distribute the 2
10> 2x-4+3
Combine like terms
10> 2x-1
Add 1 to each side
10+1> 2x-1+1
11> 2x
Divide each side by 2
11/2 >2x/2
5.5 >x
We can only have whole hours
x must be less than or equal to 5 hours
How can you determine the domain and range of function.
Answer:
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero
The number under a square root sign must be positive in this section
Step-by-step explanation:
Answer and explanation:
The set of all possible values of x that will make the function work, giving an output of real y values is said to be the domain of a function.
The domain of a function is determined by looking for the values of the independent variable (which is usually x) that are allowed to use.
While the complete set of all possible output values of the dependent variable (usually y), when we substitute the x values is called the range.
Range can be determined by the spread of the possible y-values (minimum y-value to maximum y-value).
Find the center and the radius of the circle x^2+y^2+6x-4y-12=0 show your work
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square on both the x and y terms
rearranging
x² + 6x + y² - 4y = 12
x² + 2(3)x + 9 + y² + 2(- 2)y + 4 = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25 ← in standard form
with centre = (- 3, 2) and r = [tex]\sqrt{25}[/tex] = 5
Find the quotient 744 divided by 3.1
Answer:
240
Step-by-step explanation:
Once you divide, using a calculator if possible, you get the exact solution.
Answer:
240
Step-by-step explanation:
1st you gotta turn 3.1 into a whole number by moving the decimal 1 space to the right then add a 0 to 744, next you divide normally
what is the answer to this math question 4×(-9+12)÷(2×3) I keep getting 14
Answer:
2
Step-by-step explanation:
Answer:
2. Hope this helps.
PS
Can I get brainliest?
Can someone give me the answer for this
Answer:
perpendicular
which statement is true? A)4[3(5+2)]=95-4×3 B)4[3(5+2)] not equal 95-4×3
Answer:
B) 4[3(5+2)] not equal 95-4×3
Step-by-step explanation:
4[3(5+2)]=95-4×3
84=95-4x3
84=83
So since they are not equal B. is the correct answer!
Answer:
Option B.
Step-by-step explanation:
The given expression is
4[3(5 + 2)] = 95 - 4×3
We will solve the left side of the expression first
4[ 3(5 + 2)] = 4[ 3(7) ]
= 4 × 21
= 84
Now we take the right side of the expression
95 - 4×3
= 95 - 12
= 83
Now it's clear that right side of the expression is not equal to the left side of the expression.
Therefore, Option B is the correct option.
A 2×2 square is centered at the origin. It is dilated by factor of 3. What are coordinates of the vertices of the square?
The 2x2 square centered at the origin has vertices at (-1,1), (1,1), (-1,-1), and (1,-1). When it is dilated by a factor of 3, the coordinates of the vertices are multiplied by 3, resulting in new vertices at (-3, 3), (3, 3), (-3, -3), and (3, -3).
Explanation:The subject here is Geometry, specifically dealing with transformations such as dilations on a plane. The starting square is 2x2 and centered at the origin means its vertices are at (-1,1), (1,1), (-1,-1), and (1,-1). A dilation by a factor of 3 from the origin means we are going to multiply every coordinate by 3. Doing this, we get the new vertices as (3*-1, 3*1) = (-3, 3), (3*1, 3*1) = (3, 3), (3*-1, 3*-1) = (-3, -3), and (3*1, 3*-1) = (3, -3). Therefore after the dilation, the vertices of the square will be at positions (-3, 3), (3, 3), (-3, -3), and (3, -3).
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The meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50 if she deducts this amount from the total, how much will each of the other people pay for their meal?
Answer:
10.09
Step-by-step explanation:
52.95-2.50=50.45
divided by 5 = 10.09
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches
In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3 : 5
How many red cars are in the parking lot?
Answer:
Step-by-step explanation:
Given:
240 red and blue cars
3:5 ratio of red cars to blue cars
3 + 5 = 8
red cars: 3/8 * 240 = 90
blue cars: 5/8 * 240 = 150
ratio of red cars to blue cars: 90:150
simplify:
90 ÷ 30 = 3
150 ÷ 30 = 5
Thus: 90:150 = 3:5
Answer:
Imagine math : 90, because 38 of the cars are red
Step-by-step explanation:
Adele is 5 years older than Timothy. In three years, Timothy will be  of Adele’s age. What is Adele’s current age?
Answer:
Adele's current age is 12
Step-by-step explanation:
Let a = Adele's current age
Let t = Timothy's current age
Adele is 5 years older than Timothy:
a = t + 5 {equation 1}
In 3 years Timothy will be 2/3 of Adele's age:
(2/3)(a + 3) = t + 3 {equation 2}
Since we are looking for Adele's age, let's rearrange equation 1 to:
t = a - 5
Substitute that into equation 2 and solve for a.
(2/3)(a+3) = a - 5 + 3
(2/3)(a + 3) = a - 2
Multiply through by 3 to clear the fraction
2(a+3) = 3a - 6
2a + 6 = 3a - 6
Add 6 to both sides, subtract 2a from both sides
12 = a
Adele is 12 years old
This means Timothy is 7 years old.
Check equation 2 to verify:
(2/3)(a + 3) = t + 3
(2/3)(12+3) = 7 + 3
(2/3)(15) = 10
10 = 10
Answer:
Adele is 12 years old
Step-by-step explanation:
Jade has $10, Julio has $100, and Anna has $1,000. How many Japanese yen would each person get in exchange for their dollars?
Answer:
Jade has 1,124.41 Yen. Julio has 11,244.15 Yen. Anna has 112,445.39 Yen.
Step-by-step explanation:
I know this because I went to an exchange website.
The question was about converting US dollars to Japanese yen. The conversion is based on the exchange rate, last known to be 103 yen per US dollar. Jade with $10 would have 1,030 yen, Julio with $100 would have 10,300 yen and Anna with $1,000 would have 103,000 yen.
Explanation:The value of each individual's dollars in Japanese yen would be determined by the current exchange rate. As of the last known rate, it was approximately 103 yen per US dollar. Therefore:
Jade with $10 would have about 1,030 yen (10 multiplied by 103).Julio with $100 would have approximately 10,300 yen (100 multiplied by 103).Anna with $1,000 would have approximately 103,000 yen (1,000 multiplied by 103).These calculations can change depending on the fluctuations in the exchange rate.
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Please help with 25
I need this plz
which is more 4feet or 48inches
Answer:
4 feet = 48 inches
Step-by-step explanation:
In one foot there are 12 inches and since we have 4 of them we multiply to find how many total inces there are:
4x12=48
If you wanted to check the other side of it you would divide 48 inches by 12 inches to find out how many feet you have:
48÷12=4
Answer:
They are equal.
Step-by-step explanation:
A foot is made up of 12 inches
4 feet= 12*4 inches
4 feet= 48 inches
There you go!
The two are equal to each other
A rectangle has an area of 40 square units. The length is 6 units greater than the width
Answer:
The width is 4 units, and the length is 10 units.
Step-by-step explanation:
area of rectangle = length * width
Let L = length; let W = width.
"The length is 6 units greater than the width.": L = W + 6
area = LW = 40
Since L = W + 6, we substitute L with W + 6.
(W + 6)W = 40
W^2 + 6W = 40
W^2 + 6W - 40 = 0
(W - 4)(W + 10) = 0
W - 4 = 0 or W + 10 = 0
W = 4 or W = -10
A width cannot be a negative number, so we discard the solution W = -10.
W = 4
L = W + 6 = 4 + 6 = 10
The width is 4 units, and the length is 10 units.
Answer:
10 by 4 or B
Step-by-step explanation:
took test on edge
A school is contemplating purchasing new computers for its computer lab. Each computer costs $1125. The school has a budget of $8,000. What are the possible numbers of computers that the school can buy?
A 0, 1, 2, 3, 4, 5, or 6 computers
B 0, 1, 2, 3, 4, 5, 6, or 7 computers
C 7 computers
D 1, 2, 3, 4, 5, or 6 computers
Answer:
C
Step-by-step explanation:
divide budget by the cost of one computer
please help asap ‼️
which of these sets of points lie within plane w?
a. C and G
b. H and E
c. C and E
d. A and D
Answer:
Im pretty sure its a. C and G
Step-by-step explanation:
Answer: The answer is (C) C and E.
Step-by-step explanation: We are given a figure including a plane 'w' and a number of points A, B, C, D, E and F around the plane. We are to select the pair of points from the given options that lie within the plane 'w'.
We can see in the figure that the points A and F lie above the plane 'w'; the points B and D lie below the plane 'w'; the points C and E lie on or within the plane 'w'.
Since we are to find the set of points lying within the plane 'w', so option (C) is the correct option.
Joel's family has four more pets than Brian's family. Together the two families have at least 7 pets. Let x represent the number of pets Brian's family has. Which inequality can be used to find the possible numbers of pets Brian's family has?
Answer: 2x + 4 ≥ 7
Step-by-step explanation: If Brian = x then Joel = x + 4. Sum up the expressions that represent the amount of pets they have and it has to be greater than or equal to 7 since that is the smallest amount of total pets the two families have. Therefore, the correct answer is 2x + 4 ≥ 7
If lines m and n are parallel, and < 2 measures 45°, which is the measure of <3?
a. 30°
b. 45°
c. 90°
d. 180°
Answer:
B
Step-by-step explanation:
Find the sum or difference.
20/21. - 5/21. HELP ME PLEASE
A.2/3
B.5/7
C.16/21.
Answer:
It would be B. because if you subtract them you would have 15/21. divide both by three and you get 5/7. Hope this helps
Step-by-step explanation:
Y=-4x y=x^2-12 solve the system of equations
Answer:
-4x = x² - 12
x² + 4x - 12 = 0
(x - 2)(x + 6)
x = -6, 2
{(-6, 24), (2, -8)}
NEED HELP ASAP Determine if each function is linear or nonlinear.
Drag each function into a box to correctly classify it.
Answer
=====================
what is the value of
[tex] \sqrt{9 + 16} [/tex]
9 + 16
Answer:
I think it's maybe 5
Step-by-step explanation:
First, you would do 16+9, which is 25
Second, you would figure out the square root of 25, which would be 5
So, 5 would be your answer I guess
Hope this helps :)
what is the value of x in the diagram below ? A. 9 B. 6 C. 7 D. 8
Answer:
9
Step-by-step explanation:
In the larger triangle you divided 12 by 2 which gave you the length of its corresponding side. So if you do 12/6 to get 2, you divide 54 by 6 and get 9.
a new car is sold for its sticker value of $19,400. three years later the customer returns to the car dealership to trade the car in. she is told that her car now has a value of $12,105. what is the rate of decline in the value of the car? In your final answer, include all of your calculations.
Answer:
100/19400*12105=62.3969072165 100-62.3969072165 = 37.60% (rounded)
Step-by-step explanation:
100% = 19'400 divide and multiply with the current value, this will give you the % deductions. Simply deduct the result from 100.
Answer:
copy paste version
Step-by-step explanation:
we know that the formula to calculate the depreciated value is equal to:
D = P(1-r)^t
where
D is the depreciated value
P is the original value
r is the rate of depreciation in decimal
t is Number of Time Periods
In this problem we have:
P = $19,400
D = $12,105
t = 3 years
substitute in the formula above and solve for r:
$12,105 = $19,400(1-r)^3
Simplify:
(12,105/19,400) = (1-r)^3
(1-r) = 3√(12,105/19,400)
r = 1 - 3√(12,105/19,400)
r = 0.1455
Convert to percentage:
r = 14.55%
Using what you know about percents, explain why a commercial that says "80% of dentists recommend this toothpaste" might be misleading.
Final answer:
The commercial's claim that '80% of dentists recommend this toothpaste' might be misleading because it lacks context and does not specify the criteria or sample size used in the recommendation survey.
Explanation:
The commercial that says "80% of dentists recommend this toothpaste" might be misleading because the 80% figure does not provide the full context of the recommendation. It does not specify whether the recommendation is based on a survey of all dentists or a specific group of dentists. For example, if the survey only included a small sample of dentists who were given incentives to recommend the toothpaste, the result may not accurately represent the entire dentist population. Additionally, the commercial does not provide information about the criteria used for the recommendation. It is possible that the toothpaste is recommended for a specific condition or age group, but not necessarily for everyone. Therefore, it is important to critically evaluate such claims and look for more detailed information before making a decision based solely on the statistic provided in the commercial.
420=2(r+10) what is the total value of r
Answer:
(420/2)-10=r
r=200
Step-by-step explanation:
Answer:
r = 200
Step-by-step explanation:
divide both sides by 2
210 = r + 10 ( subtract 10 from both sides )
200 = r ⇒ r = 200