Equation : 12v + 10v + 14 = 80
What is v equaled to?
Answer:
this can be simplified
12v + 10v + 14 = 80
22v + 14 = 80
22v = 66
v = 3
Answer:
v = 3
Step-by-step explanation:
12v + 10v = 22v
22v + 14 = 80
Subtract 14 from both sides.
80 - 14 = 66
22v = 66
now divide both sides by 22
66/22 = 3
v = 3
Two complex numbers are given, where m, n, p, and q are real numbers.
m+ni
p+qi
For what relationship among m, n, p, and q, will be the product of these two complex numbers have only an imaginary part?
This is Algebra 2.
Answer choices:
np mq
mp-np=0
mp+nq=-1
Answer:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
Step-by-step explanation:
We are given two complex numbers:
[tex]\displaystyle m + ni \text{ and } p + qi[/tex]
Where m, n, p, and q are real numbers.
And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.
Find the product:
[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]
Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
In conclusion, the relationship between m, n, p, and q is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)
Compare the Numbers in each exercise using an inequality symbol
How do you find the GCF of each?
Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
According to my equation it's 20°
simplify: x^2 • x^4
help me please
please helpppppp!!!!!!!!!
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
On a number line, point S is located at -3 and point T is located at 9. What is the location of point R on ST given that the ratio of SR to RT is 3:4
A) 27/7
B) 2 1/4
C) 15/7
D) 1 1/4
Answer:
Im pretty sure it would be C
Step-by-step explanation:
The location of R on the number line will be 15/7 so option (C) will be correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Distance from S to T = 3 + 9 = 12
So,
SR + RT = 12
And given,
SR/RT = 3/4 ⇒ SR = (3/4)RT
By substitution,
(3/4)RT + RT = 12
RT ( 7/4) = 12
RT = 48/7
Now the location of point R ⇒
OT - RT = 9 - 48/7 = 15/7
Hence "The location of R on the number line will be 15/7".
To learn more about the number line,
https://brainly.com/question/13189025
#SPJ2
Jim and Em baked 33 macaroons.
Jim baked 5 more macaroons than Em. How manymacaroons did Jim bake?
Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
a squared + b - c squared
Answer:
a²+(b-c)²
hope it helps
The square of the difference between 2x and y
Answer:
this question doesn`t have much information but here`s my best guess
(2x-y)^2
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.
1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.
2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."
So, combining the two steps, we have:
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.
To know more about difference :
https://brainly.com/question/18757471
#SPJ3
Just want to make sure my answer is right
The arithmetic mean (average) of five positive integers is 30. What is the greatest possible value of their median?
If your answer is right or applicable for the question, I'll give you brainliest :)
9514 1404 393
Answer:
49
Step-by-step explanation:
The sum of 5 numbers that have an average of 30 is ...
sum = 5×30 = 150
The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...
150 -1 -1 = 148
The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.
148/3 = 49.333...
Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.
In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.
[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]
Answer:
-300
Step-by-step explanation:
[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]
[ 12 + 2 - [ -6 ] ] [ -5 + | [ - 3 ]|]
[ 12 + 2 - [ -6 ] ] [ -5 + 3]
[ 12 + 2 + 6 ] [ -5 + 3]
(20)(-15)
-300
4q verbal expression
Answer:
sum of two terms. So, the verbal expression 15 plus r can be used to describe the algebraic expression 15 + r
Step-by-step explanation:
If a=b+7 and b+7=9, then a=9
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
Do you know what the correct answer to the equation 2+2 is ?
Answer:
4
Step-by-step explanation:
Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4
WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Answer:
x + 2 + 3x = 30
Step-by-step explanation:
Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.
Let x = Zach's car length.
Zach's car length is x.
"Ginny's car is 2 more than 3 times the length of Zach's car."
Ginny's car length is 2 + 3x.
Add the lengths:
x + 2 + 3x
"The sum of the lengths of both cars is 30 inches."
x + 2 + 3x = 30
Answer: x + 2 + 3x = 30
An amusement park sold 4 discount tickets and 36 full-price tickets. What percentage of the tickets sold were discount tickets?
f(x)=2x-3 x=1 function and evaluate
Answer:
F(1) = - 1
Step-by-step explanation:
F(x) = 2x-3
F(1) = 2(1)-3 (plug in 1 for x because 1=x)
F(1) = 2-3 (multiply 1 and 2)
F(1) = - 1
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
ke=(1)/(2)mv^(2)
solve for m
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
[tex]m=\frac{2Ke}{v\\^{2} }[/tex]
A, B and E are non-collinear O True O False
Answer:
it would be false
Step-by-step explanation:
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
determine the area of the triangular ABC with AC =5cm and height DB=30mm
Answer:
Step-by-step explanation:
AC² = AD² + DB ²
25 = AD² + 9
AD²= 25 - 9
AD² = 16
AD = 4
Area = 4*3 /2
= 6cm
SOMEONE HELP??????!!!!!!!
Answer: a = 300, b = b = 50.24
Step-by-step explanation:
Please solve all 6 questions... I will mark you brainliest
Answer:
17.
9x - 2 = 8x + 6 (opposite angles on the transversal)
9x - 8x = 6+2
x = 8
18.
-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)
36x = 180
x = 180/36
x = 5
19.
9x + 4 + 95 = 180 (angles on the same side of transversal add up to 180)
9x + 99 = 180
9x = 180-99
9x = 81
x = 81/9
x = 9
20.
16x - 2 = 110 (opposite angles on the transversal)
16x = 110 +2
16x = 112
x = 112/16
x = 7
21.
29x + 4 = 31x -4 (opposite angles on the transversal)
4 + 4 = 31x - 29x
2x = 8
x = 8/2
x = 4
22.
12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)
18x +18 = 180
18x = 180-18
18x = 162
x = 162/18
x = 9
Andrew has a summer job doing yard work he is paid 15$ per hour and a 20 bonus when he completes the yard. He was paid 85$ for completing one yard. Write an equation to represent the amount of money he earned
pls answer with steps <3
Answer:
Step-by-step explanation:
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
Answer:
Step-by-step explanation: