Answer:
The magnitude of the number is of 26.
Step-by-step explanation:
Magnitude of a complex number:
A complex number has the following format: a + bi
In which a is the real coefficient and b is the imaginary coefficient.
The magnitude of the number is:
[tex]\sqrt{a^2+b^2}[/tex]
What is the magnitude of -10 + 24i?
For this number, a = -10, b = 24. So
[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]
The magnitude of the number is of 26.
Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)
The school has a total of 360 students. The number of students that would attend this year is 357.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
Number of students that would attend this year
= percentage of students that attended in 2013 x total number of students
[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]
Thus, 357 to the nearest whole number.
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Mark buys a wooden board that is 7 1/2 feet long. The cost of the wooden board is $0.50 per foot, including tax. Enter the total cost, in dollars, of the wooden board.
Answer:
$3.75
Step-by-step explanation:
The board is 7 and a half feet long. It costs 0.5 per foot.
Therefore we can just multiply the two to find the total cost:
0.5 x 7.5 = $3.75
Hope this helped!
What is the area of the obtuse triangle given below?
2 9
Answer:
The area is 9 unit squared
Step-by-step explanation:
Given
The right parameters are:
[tex]Base = 2[/tex]
[tex]Height = 9[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 2 * 9[/tex]
[tex]Area = 9[/tex]
Hence, the area is 9 unit squared
Select the correct answer.
graph A graph B
graph C graph D
Which graph correctly represents
3x + y > 7?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
the graph that represents 3×+→7 it is graph b
1 point
Andrea received a $100.00 gift card to an online clothing store. SHe uses
the gift card to buy a shirt for $20.99. She also wants to use the gift card to
buy some pants which cost $10.29. Which of these inequalities describes
the situation, where n is the number of pants Andrea wants to buy?
20.99 + 10.29n 2 100
20.99 + 10.29n s 100
20.99 - 10.29n 2 100
20.99 - 10.29n s 100
Select all of the following equations that have the
Answer:
20.99+ 10.29n s 100
Step-by-step explanation:
Well your variable is the number of pants she wants to buy, so on top of the shirt she bought it would 20.99 + 10.29n, but you wouldn't put 100$ at the end of the sentence because for all you know she could have gone past 100 dollars. Hope this helps! Also, if we are counting this from 100 it is better to just subtract 20.99 from 100 and divide by 10.29.
5(2 + 2m). Simplify the expression
Answer:
10m+10
Step-by-step explanation:
5x2=10
5x2m=10m
10m+10
What is the area, in square centimeters of the shaded part of the rectangle shown below
The area of shaded region is 100 square centimeters.
What is an area?
An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.
For the given situation,
The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.
The area of shaded region = Area of rectangle - Area of triangle
The dimension for rectangle,
Length = 10 cm
Width = 14
The formula of area of rectangle = (length)(width)
The dimension for triangle,
Base = 10 cm
Height = 14 - 6
⇒ Height = 8 cm
The formula of area of triangle = 1/2 (base)(height)
On substituting the above values,
Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]
⇒ [tex]140-40[/tex]
⇒ [tex]100[/tex]
Hence we can conclude that the area of shaded region is 100 square centimeters.
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Determine the amplitude or period as requested. Amplitude of y=3 cos 1 2
Answer:
The amplitude is 3
Step-by-step explanation:
Given
The right function is:
[tex]y = 3 \cos(\frac{1}{2}x)[/tex]
Required
The amplitude
A sine function is represented as:
[tex]y =A \cos(Bx + C) + D[/tex]
Where
[tex]Amplitude = |A|[/tex]
By comparing:
[tex]y = 3 \cos(\frac{1}{2}x)[/tex] and [tex]y =A \cos(Bx + C) + D[/tex]
[tex]A= 3[/tex]
So:
[tex]Amplitude = |3|[/tex]
[tex]Amplitude = 3[/tex]
Hence, the amplitude is 3
Which expression is equivalent to 1/6 (2x+3y)
Answer:
x/3+y/2
Step-by-step explanation:
Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:
2x(1/6)+3y(1/6)
Then, you multiply and you would get x/3+y/2. And that would be the answer.
Please check my answer.
Which statement shows that a scuba diver 30 feet below the surface is lower than a kite boarder 3 feet above the surface?
A: -3 > 30
B: -30 > 3
C: 3 < 30
D: 3 > -30 (I picked this one. Am I correct?)
Answer: its C because 30 is greater than 3
Step-by-step explanation:
Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?
Answer:
um... 12
Step-by-step explanation:
<3
The value of f(3) is given as 14.
What is a function?A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.
The given function is as below,
f(x) = 4x + 2
In order to find the value of f(3) substitute x = 3 in the function as,
f(3) = 4 × 3 + 2
= 12 + 2
= 14
Hence, the value of the function f(x) at x = 3 is 14.
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In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!
In 2009- She paid $1900
She paid 16% more in 2010
16/100*1900=304
She paid $304 extra
$1900+$304
=$2204
Answer: In 2010 Tanvi paid $2204
Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!
Answer:
answers steps below and attached for the 5 points
Step-by-step explanation:
y = x² + 10x + 24
x² + 10x + 24 = 0
(x+4) (x+6) = 0
x = -4 or x = -6 .... Roots: (-4 , 0) and (-6 , 0)
y = (x² + 10x + 25) - 1 = (x+5)² - 1 ... y = (x-h)² + k (h,k) is vertex
vertex: (-5,-1)
Find the common difference of the arithmetic sequence.
4, 10, 16, 22,
Answer:
[tex]a_{n}[/tex] = 6n - 2
Step-by-step explanation:
Because you can use the formula [tex]a_{n}[/tex] = a1 + d (n - 1) to identify the arithmetic sequence :)
Answer:
f (Common Difference) = 6
Step-by-step explanation:
10 - 4 = 6
16 - 10 = 6
22 - 16 = 6
and so on...
WHO WAS IN PARIS ??????????????????????
Answer:
I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.
But it's a song by Kayne
________ in Paris
Step-by-step explanation:
Answer:
guys were in Paris
Step-by-step explanation:
If you flip two coins 200 times how many times would you expect the coins to match
Answer:
100times
Step-by-step explanation:
theoretically it would be a 50/50 so I would expect them to match 50% of the time or 100 times
[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
write the computer program for;urgent
Answer:
I am sorry but I don't know answer
20 points for help -Please help I'm stuck and need to find the ordered pair . I think it's -2,2 but I'm not sure .
Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8
Answer: hifcnvhkbkjhbjlljn
Step-by-step explanation:
Answer:
8 dollars
Step-by-step explanation:
If you divide 72 by 9, youll get an even number of 8.
Four brothers each bought two hotdogs and a bag of chips at the football concession stand.
Answer:
The total hotdogs are 8 and total bag of chips are 4 and altogether is 12
Step-by-step explanation:
1 brother gets 2 hot dogs and 1 bag of chips
. To find the total hot dogs multiply 2 by 4 and you will get 8
. To find the total chips multiply 4 from 1 and the answer is obviously 4
To find the total together add 4 and 8 you will get 12
HOPE THIS HELPS :)
ASAP pls help me giving brainliest
Answer:
4 pounds of flour does not equal 6 pounds of flour
or
4 pounds of concrete is lighter than 6 pounds of concrete
Step-by-step explanation:
Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?
Answer: 36%
Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised
Consider this chart, which details a store’s sales revenue by department. A pie chart titled Sales by Department. Blue is pharmacy, red is clothing, green is hardware, and yellow is gardening. Which of the following statements indicate ways in which this graph is misleading? I. The sections are not numerically labeled. II. The time frame is not mentioned. III. It is unclear which color corresponds to which section. a. I and II b. II only c. I and III d. I, II, and III Please select the best answer from the choices provided A B C D
Answer:
Answer is A l and ll
Step-by-step explanation:
Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales. The correct option is (D).
What is the line graph?An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.
here, we have,
Line graphs have two axes that are graphically represented as x and y, respectively (x,y).
There are three types of line graph which are as follows:
Multiple line graph.
Simple line graph.
Compound line graph.
Hence, Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales.
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Complete question:
Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. Which type of graphic would be most effective?
A. Bar chart
B. Pie chart
C. Flow chart
D. Line graph
Can someone pleaseee help
Answer:
Step-by-step explanation:
all you have to do is * 7 by 5 and divide by 2
I need help on number one
answer is 9
Change the sign of the exponent by rewriting the base as its reciprocal
3^2
raise 3 to the power of 2
you get 9
Which of the following is equivalent to 19 L?
A. 1,900 mL
B. 0.019 mL
C. 19,000 mL
D. 0.0019
the answer is A which is 1900 ml
find the surface area2 No files
Answer:
672 sq. inches
Step-by-step explanation:
total surface area:
[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]
12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
answer is will be A(x) is linear, but P (x) is not
The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).
For the function -
P(x) = 2[(f + g)(x)]
We can see that two linear functions are added. So the resulting function will be a linear function.
and
For the function -
A(x) = (f º g)(x)
We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.
Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
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