Answer:
10 centimeters
Step-by-step explanation:
convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
Answer:
z = 5√3(cos 0 + isin0)
Step-by-step explanation:
Convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
The rectangular form is expressed as z = -5√3 + 0i
z = √(-5√3)² + 0²
z = √(25(3))
z = √75
z = 5√3
Get the argument
theta = tan^-1 0/-5√3
theta = tan^-10
theta = 0 degrees
Hence the polar form is expressed as z = r(cos theta + i sintheta)
z = 5√3(cos 0 + isin0)
Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?
Answer: $0.4 is spent by Taut per pound of tomatoes grown
Step-by-step explanation:
Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds
To find : Taut expenditure per pound of tomatoes grown = ?
As it is given that :
162.5 pounds of tomatoes are grown by spending = $65.00
Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]
Thus $0.4 is spent by Taut per pound of tomatoes grown
On Sunday morning, 4 1/2 crates of grapes are delivered to thee grocery store. 2/5 of the grapes in each crates are green grapes. How many crates would it take to deliver only the green grapes?
Answer: 1 4/5 crates
Step-by-step explanation:
From the question, we are informed that 4 1/2 crates of grapes are delivered to a grocery store and that 2/5 of the grapes in each crates are green grapes.
The number of crates that it would take to deliver only the green grapes would be:
= 2/5 × 4 1/2
= 2/5 × 9/2
= 9/5
= 1 4/5 crates
simply the following: (2+5i)^2 - (2+i)
Answer:
- 23 + 19i
Step-by-step explanation:
[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]
Sam has a mass of 80 kg. His body contains 0.36 kg of potassium. What percent of Sam’s
body is potassium?
Answer:
0.45 percent
Step-by-step explanation:
0.36 divided by 80 and then move decimal 2 places to the right
Answer:
0.45
Step-by-step explanation:
IF m power n is equal to 32 wher m and n are natural numbers then find the value of n power m
Answer:
[tex]n^m = 5^2[/tex]
Step-by-step explanation:
Given
[tex]m^n = 32[/tex]
Required
Find [tex]n^m[/tex]
[tex]m^n = 32[/tex]
Express 32 as an exponent
[tex]m^n = 2^5[/tex]
By comparison:
[tex]m = 2[/tex]
[tex]n = 5[/tex]
So:
[tex]n^m = 5^2[/tex]
x + 3y = 2
-x + 2y = 3
Can somebody help me?
The volume of a cone is 300 cubic
centimeters. A cylinder has the same radius
and height as the cone. What is the volume
of the cylinder?
15x^2 + 41x + 28
STEP BY STEP ANSWER PLSSS
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2 +41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).
(15x^2 +20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
253+41x
Step-by-step explanation:
first evaluate the power of 15
then add the number 225+28
then the answer will be 253+41x
Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?
Answer:
area = 462
Step-by-step explanation:
Please help! I have no clue how to do this problem. Any help would be appreciated:)
Answer:
13
Step-by-step explanation:
180-96=84
(4x-10)+(4x-10)= 84
X=13
Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.
Answer:
yes that is right
Step-by-step explanation:
???????????????????????????
Answer:1/3
Step-by-step explanation:
A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?
Answer:
Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher
Step-by-step explanation:
what is 28/10 as a proper fraction
Answer:
Step-by-step explanation:
28/10 as a proper fraction.
28/10 is an improper fraction so you have to turn it into a proper fraction.
To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.
The answer would be 2 8/10
What is the measurement of ABC?
Answer:
118°
Step-by-step explanation:
because 28 + 90 = 118
Can you please solve this
Step-by-step explanation:
To get the x intercepts you need to set y = 0.
So you will get:
[tex]x^{2}[/tex] - 4x - 12 = 0
which can then be put in the form of:
(x - 6) (x + 2) = 0
The x intercepts are: (6,0) and (-2,0).
For the vertex you would need to convert the equation to vertex form.
which is : y = a[tex](x-h)^{2}[/tex] =k
[tex]x^{2}[/tex] - 4x - 12 = y
turn it in to square form:
([tex]x^{2}[/tex] - 4x + 4) - 12 - 4 = y
[tex](x-2)^{2}[/tex] - 16 = y
so the vertex is = (2, -16)
Determine the domain of the following graph:
Help
Answer:
Domain: (-3, 7)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Interval Notation - [a, b] is inclusive, (a, b) is exclusiveStep-by-step explanation:
According to the graph, our x-values span from -3 to 7. Since both are open dot, they are exclusive from the domain:
Interval Notation (-3, 7)
Inequality Notation -3 < x < 7
What is the slope between the two points (8, -2) and (-7, 10)?
Answer:
slope ={10--2}/(-7-8)=12/-15=-4/5
x(3x - 5) please and 5x(x - 3y) urgent !
Answer: 3x^2-5x
5x^2-15xy
Step-by-step explanation:
Answer:
3x² - 5x & 5x² - 15 xy
Step-by-step explanation:
1) x(3x - 5)
x × 3x - x × 5 (take the brackets out)
3x² - 5x.
2) 5x (x - 3y)
5x × x - 5x × 3y (take the brackets out)
5x² - 15 xy
The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142
Answer:
Step-by-step explanation:
2 [tex]\pi[/tex] r=25.71
6.284r= 25.71 (divide by 8.284 on both sides)
r=4.09cm
Hayley picked 2/3 of a pound of
berries. She divided them
evenly among 3 containers.
How many pounds of berries
did Hayley put in each
container?
Use a percent proportion to find 25% of 350.
Answer:
7.142857143 or
[tex] \frac{50}{7} [/tex]
Step-by-step explanation:
100 ÷ 350 = .2857142857
.2857142857 × 25 = 7.142857143
You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.
what are the odds against the spinner stopping at a blue section?
(Answer is a fraction)
Answer:
3/7
Step-by-step explanation:
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
simplify 3a x 4, thank youuuu
Answer:
12a
3 x 4 =12a
help please
working too please!!!!.?
Step-by-step explanation:
(1) 4mn × 6mp × 3mnp
= 4 × 6 × 3 ( mn × mp × mnp)
= 72 × (m³n²p²)
72m³n²p²
sorry, I'm busy, won't be able to complete it
Would it be a
B
C
Or d
Answer:
bb bb bb bb bb BB BBB bb BB BBB
Answer:
b
a>-21 ⅓
Step-by-step explanation:
the second one.
Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to be in blue color
Answer: 100 blue Atlantic lobsters
Step-by-step explanation:
Approximately 0.02 Atlantic lobsters are born blue.
0.02 in percentages is 2%.
Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.
The number of blue lobsters expected is:
= 5,000 * 2%
= 100 blue Atlantic lobsters
Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she sold 11 orders of nachos and 18 tacos for a total of 64.95 . During the second hour, she sold 6 orders of nachos and tacos 15 for a total of 43.20.
Answer:
cost of nachos = $3.45
Cost of tacos = $1.5
Step-by-step explanation:
Let
x = cost of nachos
y = cost of tacos
11x + 18y = 64.95 (1)
6x + 15y = 43.20 (2)
Multiply (1) by 6 and (2) by 11 to eliminate x
66x + 108y = 389.70
66x + 165y = 475.20
Subtract to eliminate x
165y - 108y = 475.20 - 389.70
57y = 85.50
y = 85.50/57
y = 1.5
Substitute y = 1.5 to find x
11x + 18y = 64.95 (1)
11x + 18(1.5) = 64.95
11x + 27 = 64.95
11x = 64.95 - 27
11x = 37.95
x = 37.95/11
x = 3.45
cost of nachos = $3.45
Cost of tacos = $1.5
Put these in descending order
-6/7,|8-9|,-|-6|
Answer:
-6/7,1,-6
1, -6/7, -6
Step-by-step explanation: