Answer:
cos 315° = 45° reference angle in the 4th quadrant = √2 /2
And sin 315° is the negative of this
So
z = (3) cos 315° + ( 3i ) sin 315° =
[ (3/2)√2 , - (3/2) √2 i ]
Caren held 260 of the shares for herself and sold the rest in equal amounts to six investors. How many shares does each investor own? If the business fails and leaves $65,000 in debt, for how much would each investor be liable
Answer:
40 shares each and $3,000 each
Step-by-step explanation:
The computation is shown below:
For the number of shares
Since there are total of 500 shares out of which 260 shares are held by Caren so the remaining shares left is
= 500 shares - 260 shares
= 240 shares
And, there are 6 investors
So the number of shares owned by each investor is
[tex]= \frac{240}{6}[/tex]
= 40 shares
Now the value of the shares held by each inventory is
[tex]= 40 shares \times \$75[/tex]
= $3,000
Total debt is $65,000
So, the liability per share is
[tex]= \frac{\$65,000}{500}[/tex]
= $130
And each investor holds 40 shares
So, each investor is liable for
[tex]= \$130 \times 40\ shares[/tex]
= $5,200
As we can see that the value of the shares is less than the amount liable by each investor
So each investor is liable for $3,000
And, the liability of Caren is
[tex]= 260\ shares \times \$75[/tex]
= $19,500
Perpendicular to y = 6x + 2; passing through the point (3,5).
Answer:
Step-by-step explanation:
y = 6x + 2
Slope = 6
A line perpendicular to this would have a negative reciprocal slope = [tex]-\frac{1}{6}[/tex]
To solve for the y-intercept, plug the coordinates given into the question.
y = mx + b
5 =[tex]-\frac{1}{6}[/tex] (3) + b
5 = [tex]-\frac{3}{6}[/tex] + b
5 = [tex]-\frac{1}{2}[/tex] + b
b = 5 + [tex]\frac{1}{2}[/tex]
b = [tex]\frac{11}{2}[/tex] or 5 [tex]\frac{1}{2}[/tex]
So, your new slope-intercept line equation is
y = [tex]-\frac{1}{6}[/tex]x + 5 [tex]\frac{1}{2}[/tex]
I would really appreciate it if you would please mark me brainliest!
Have a blessed day!
explain why do you think the Palestinians turn to international terrorism?
Answer:
La paloma blanca ya está vieja,
está allí hace muchos años, ¿sabían?
La paloma blanca ya está vieja,
Otros pájaros de su edad ya tienen nietos.
La paloma blanca ya está vieja,
déjenla bajar de los afiches y pasar al palomar en el jardín.
La paloma blanca ya está vieja,
ya llegó el momento de que también ella tenga un pichón.
La paloma blanca ya está vieja,
demasiadas guerras hacen fila frente a ella.
La paloma blanca ya está vieja,
la rama del olivo se le seca en el pico.
La paloma blanca ya está vieja,
y cada día que pasa está menos blanca y más pálida.
La paloma blanca ya está vieja,
díganle que se acabó el agua y que está libre...
Step-by-step explanation:
espero que te sirva ponme la coronita plis
Find the volume of a cylinder that has a diameter of 12 in. and a height of 15 in
Answer:
[tex] \sf{ \boxed{ \bold{1697.14}}}[/tex]Step-by-step explanation:
Given,
diameter ( d ) = 12 in
height ( h ) = 15 in
finding the radius of a cylinder
Radius is just half of diameter.
Radius ( r ) = 12 / 2 = 6 in
finding the volume of a cylinder having radius of 6 in and height of 15 in
Volume of a cylinder = [tex] \sf{\pi \: {r}^{2} h}[/tex]
⇒[tex] \sf{ \frac{22}{7} \times {6}^{2} \times 15}[/tex]
⇒[tex] \sf{ \frac{22}{7} \times 36 \times 15}[/tex]
⇒[tex] \sf{1697.14} \: in[/tex]
Hope I helped!
Best regards!!
Answer: 1697.1[tex]in^{3}[/tex]
Step-by-step explanation:
diameter= 12
radius= [tex]\frac{diameter}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
height = 15
volume =π[tex]r^{2}[/tex]h
[tex]\frac{22}{7} X 6^{2} X 15[/tex] =1697.1[tex]in^{3}[/tex]
x+5=5+x is an example of what property?
Answer: Commutative Property
Step-by-step explanation: In Picture.
Hey, Would someone help me on this. Thanks xx... Here are 4 digits: 6 3 5 9 Using only 3 of the digits write a number that is closest to 600. You can only use each of the digit once . GCSE MATHS NUMBER QUESTION
Answer:
596
Step-by-step explanation:
closest to 600.
this means we can narrow the first digit of all 5he three digits to be either 5 or 6:
5_ _
or
6_ _
however, when considering the closest number to 600 when starting with 6, we realise that we can only make 630.
when looking at starting with 5, we can make 590, much closer to 600.
so now, we have deduced it has to become 590
however, we can use 3 digits. so, using a 6, the next highest number, we can confidently rest our case.
Answer:
593! \(-^0^-)/
Step-by-step explanation:
600 - 593 = 7
you will haave 7 to get to the humber 600!
✨I hope this helped o(*￣▽￣*)o✨
AB is parallel to CD. EG = FG ˆ AEG = 110° ˆ Calculate the size of DGH.
Opposite exterior angles are congruent.
DGH = AEG
DGH = 110
Drag and drop numbers into the boxes to complete and solve the equation for the situation.
One month, Ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby.
Together they worked 102 hours. Find the number of hours each person worked.
h
Isaac worked____
hours.
Ruby worked____
hours.
Svetlana worked____
hours.
Answer:
Isaac worked 12 hours
Ruby worked 18 hours
Svetlana worked 72 hours
Step-by-step explanation:
Here in this question, we are interested in knowing the number of hours each person worked.
We proceed as follows;
Let the number of hours Isaac worked be x hours.
From the question, we are told that Ruby worked 6 hours more than Isaac
So the number of hours Ruby worked will be;
(x + 6) hours
Also;
Svetlana worked 4 times as many as Ruby:
This means that we have to multiply the number of hours Ruby worked by 4 to get the number of hours that Svetlana worked;
So the number of hours Svetlana worked will be : 4(x + 6) hours
Since the three worked a total of 102 hours, to get the number of hours each worked, we need to add together the number of hours each individual put in to work and equate to 102;
Mathematically, that would be;
x + x + 6 + 4(x + 6) = 102
2x + 6 + 4x + 24 = 102
6x + 30 = 102
6x = 102-30
6x = 72
x = 72/6
x = 12 hours
So Isaac worked x hours = 12 hours
Ruby worked (x + 6) hours = 12 + 6 = 18 hours
Svetlana worked 4(x + 6) hours = 4(18) = 72 hours
7 > x/4, solve for x, simplify
Answer:
28 > x
Step-by-step explanation:
Step 1: Solve the inequality
[tex]7 > \frac{x}{4}\\28 > x[/tex]
Therefore x is any value smaller than 28
Answer:
[tex]\huge\boxed{x<28}[/tex]
Step-by-step explanation:
[tex]7 > \frac{x}{4}\\\\7*4>\frac{x}{4}*\frac{4}{x}\\\\28>x\\\\\boxed{x<28}[/tex]
Apply the distributive property to create an equivalent expression.
6
(
5
x
−
3
)
=
6(5x−3)=6, left parenthesis, 5, x, minus, 3, right parenthesis, equals
Answer:
if you want x it equals 4/5
Step-by-step explanation:
x=4/5
Answer
= 30x - 18
Hope it helps
Let h(x) = x + 6 and g(x) = x^2 - 4x + 2
Find h(x) · g(x)
Answer: x³+2x²-22x+12
Step-by-step explanation:
the product of functions: (hg)(x)
Use FOIL to solve this (First Outer Inner Later)
(x+6)(x²-4x+2)
=x³-4x²+2x+6x²-24x+12
=x³-4x²+6x²+2x-24x+12
=x³+2x²-22x+12
Answer:
x³ + 2x² - 22x +12
Step-by-step explanation:
( x + 6 ) ( x² - 4x + 2 ) = x³ - 4x² + 2x + 6x² - 24x + 12
= x³ + 2x² - 22x +12
Simplity (a+(-a) ) + b
Answer:
Hey there!
(a+(-a))+b
a-a+b
b
Let me know if this helps :)
Answer:
b // (a-a)+b
Step-by-step explanation:
(a+(-a)) +b
(a-a)+b
b
100 points and brainest Plz help me PLZ
Answer:
○ C. The lines are perpendicular.
Step-by-step explanation:
In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:
− to +}
> OPPOSITE
+ to −}
MULTIPLICATIVE INVERSE [RECIPROCAL]
I am joyous to assist you at any time.
cccccccccccccccccccc
does anyone play cod moblie?
Answer:
yes ggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
lowest levels of emissions
The nitrogen cycle is the biogeochemical cycle by which nitrogen is converted into multiple chemical forms as it circulates among atmosphere, terrestrial, and marine ecosystems. The conversion of nitrogen can be carried out through both biological and physical processes. Important processes in the nitrogen cycle include fixation, ammonification, nitrification, and denitrification. The majority of Earth's atmosphere (78%) is atmosphere nitrogen, making it the largest source of nitrogen. However, atmospheric nitrogen has limited availability for biological use, leading to a scarcity of usable nitrogen in many types of ecosystems.
Answer:
Yuh
Step-by-step explanation:
What is this answer help me ASAP
Answer:
Step-by-step explanation:
Use PEMDAS rules
In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.
3[ (15 - 3)² ÷ 4] = 3[(12)² ÷ 4] {Now find the square of 12}
= 3[144 ÷ 4] {Now do division}
=3 * 36 {Finally multiplication}
= 108
8. In a circle of any size, what ratio does
pi (TT) represent?
A. radius: diameter
B. circumference: area
C. circumference: radius
D. circumference: diameter
what is the value of the expression when s=2 and t=1.5 -3|5-s3|+3t
Answer:
The value of the given expression is -4.5
Step-by-step explanation:
We need to find the value of the expression [tex]-3|5-s^3|+3t[/tex] when s=2 and t=1.5
Putting the values of s and t in the given expression.
So,
[tex]-3|5-s^3|+3t=-3|5-(2)^3|+3\times 1.5\\\\=-3|5-8|+4.5\\\\=-3|-3|+4.5[/tex]
We know that, |-a|=a
So,
[tex]=-3|-3|+4.5\\\\=-3(3)+4.5\\\\=-9+4.5\\\\=-4.5[/tex]
So, the value of the given expression is -4.5
Answer:
-13.5 is the correct answer.
Step-by-step explanation:
If f(x) = 2x +3, what is f(-3)? Show work.
A)-3/
B) -4
C) -5
D-6
Answer:
f(-3) = -3
Step-by-step explanation:
f(x) = 2x +3
Let x = -3
f(-3) = 2*-3 +3
= -6+3
= -3
Answer:
-3
Step-by-step explanation:
1. Subsitute x for -3
2. multiply 2(-3) = -6
3. add -6 +3
4. f(-3) is -3
Identify each polynomial as either a monomial binomial or trinomial. Then state the degree and leading coefficient.
1) 4x^5 + 2
Name?
Degree?
Leading Coefficient?
2) - 4x + 7x^3-11
Name?
Degree?
Leading Coefficient?
3) 18x^5y^3z
Name?
Degree?
Leading Coefficient?
Answer with explanation:
Monomial = Polynomial with one term. Binomial = Polynomial with two terms.Trinomial = Polynomial with three terms.Degree - highest power of variableLeading coefficient - Coefficient of the variable or variables with highest power.[tex]1)\ \ 4x^5 + 2[/tex]
Name = Binomial (as it has two terms)
Degree= 5 (power of x)
Leading Coefficient = 4 (coefficient of [tex]x^5[/tex])
[tex]2)\ \ - 4x + 7x^3-11[/tex]
Name = trinomial (as it has 3 terms)
Degree = 3 (highest power of x)
Leading Coefficien= 7 ( coefficient of [tex]x^3[/tex])
[tex]3)\ \ 18x^5y^3z[/tex]
Name= Monomial (as it has 1 term)
Degree= 5+3+1= 9 [Addition of power of all variables]
Leading Coefficient = 18
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car. Record the solution (answer),
Answer:
6 hours
Step-by-step explanation:
Let the labor hours be x.
The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:
265 + 48x = 55348x = 553 - 26548x = 288x = 288/48x= 6So the answer is 6 hours.
I have ₹355.50 in my pocket . i purchased a shirt for ₹ 235.50 and a pair of socks for ₹ 22.65. How much money is left with me now ?? ONLY FULL METHOD NO DIRECT ANSWER PLS
Answer:
97.35
Step-by-step explanation:
355.5 - 235.5 -22.65
I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.
=> 355.5 - 235.5 - 22.65
=> 120 - 22.65
=> 97.35 rupees
So, 97.35 rupees is left
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed between 9 and 7
i.e
269.70
Step-by-step explanation:
In Long division method, the formula is given as:
Dividend ÷ Divisor = Quotient
We were given
26.97 ÷ 6.3
26.97 = Dividend
6.3 = Divisor
We are told in the question that:
as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,
This means, since the Divisor 6.3 is made into an whole number = 63
It means 6.3 was multiplied by 10
6.3 × 10 = 63
In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.
Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10
Dividend = 26.97 × 10 = 269.7
Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7
= 269.70
Answer: Between the 9 and the 7
What is the product of seven plus two and eight minus two
Answer:
54
Step-by-step explanation:
Answer:
x = 54
Step-by-step explanation:
product will equal x
x = (7+2) * (8-2)
x = (9) * (6)
x = 54
Hope this helps! :)
(pls mark brainliest)
You have $85 in your bank account. Each week you plan to deposit $7 from your allowance and $15 from your paycheck. The equation b=85+(15+7)w gives the amount b in your account after w weeks. How many weeks from now will you have $210 in your bank account?
Answer:
6 weeks
Step-by-step explanation:
So the amount b we will have in our account w weeks from now is given by the equation:
[tex]b=85+(15+7)w[/tex]
To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:
[tex]210=85+(15+7)w[/tex]
Subtract 85 from both sides:
[tex]125=(15+7)w[/tex]
Add within the parentheses:
[tex]125=22w[/tex]
Divide both sides by 22:
[tex]w=125/22\approx5.68\approx6[/tex]
In other words, we will have $210 after approximately 6 weeks.
The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. The linear function that models the population of bloater fish is y2 =
The linear function that models the population of bloater fish is y2= -92.57x + 1, 052
The linear equation that determines when the two populations were equal is
-19.76x + 227 = -92.57x + 1052
The solution is x= 11.33 years
A bike rental company charges a $10 fee
plus $5 per hour. Sofia has $25 to spend.
Which inequality could you use to find x,
the number of hours Sofia could rent a
bike?
Answer:
10 + 5x ≤ 25
Step-by-step explanation:
Brendan's dog has a mass of 25,700 grams. What is the dog's mass in milligrams? Show your work.
Answer:
25700000
Step-by-step explanation:
1,000 miligrams in a gram so 25700*1000 = 25700000
4 (px+1)=64
the value of x in terms of p is
the value of x when p is -5 is
Answer: x= -3
Step-by-step explanation:
4(px+1)=64
4(-5x+1)=64
-20x+4=64
-4. -4
-20x. =60
-20. -20
x = -3
There are 100 or 102 pennies in a dollar. How many pennies are there in a million (106) dollars? Write your answer using exponents.
Answer:
10^8 pennies in a million dollars.
Step-by-step explanation:
I will work with the accepted number of pennies in a dollar: 100.
Then the number of pennies in a million dollars is
p = 100*10^6, or 1*10^8, or just 10^8.
How do you simplify 4/42
Answer:
4/42 = 2/21 when simplified down
Step-by-step explanation:
Cancel the common factor: 2
=2/21
Answer:
2/21Step-by-step explanation:
[tex]\frac{4}{42}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{2}{21}\\\\\left(\mathrm{Decimal:\quad }\:0.09523 \right)[/tex]