Answer:
y=−2/5x−6/5
Step-by-step explanation:
If neither a nor b are equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
The product of a complex conjugate is always an imaginary number.
The product of a complex conjugate is always zero.
The product of a complex conjugate is always a mix of real and imaginary numbers.
The product of a complex conjugate is always a real number.
The statement is correct. The product of a complex conjugate is always a real number.
Given, if neither a nor b are equal to zero then we have to conclude that which of the following statement accurately describes the product of (a + ib)(a - ib). So, let's proceed to solve the question accordingly.
Now, solve the product of (a + ib)(a - ib), we get
(a + ib)(a - ib) = a(a - ib)+ib(a - ib)
= a^2-iab+iab+(ib)^2
= a^2+i^2b^2
we know that, i^2 = -1, then
= a^2+i^2b^2 = a^2+b^2
⇒(a + ib)(a - ib) = a^2+b^2
∴ a^2+b^2 will always give a real number.
Therefore, option (d) is correct. The product of a complex conjugate is always a real number.
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HELPP!! Which is the correct name for this angle shown
Answer: D. < CBA
Step-by-step explanation:
3/a (-2) - 4 = 20 please help me out
Answer:
[tex] \sf \large \: a = \frac{ - 1}{4} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3/a(−2)−4=20
−4a−6/a=20
Step 1: Multiply both sides by a.
−4a−6=20a
−4a−6−20a=20a−20a(Subtract 20a from both sides)
−24a−6=0
−24a−6+6=0+6(Add 6 to both sides)
−24a=6
−24a/−24=6/−24
(Divide both sides by -24)
a=−1/4
Check answers. (Plug them in to make sure they work.)
a=−1/4
(Works in original equation)
Simplify the Expression:
2m +1
2m - 1
4m
)
2m – 1
2m +1
10m - 5
Answer:
22m - 5 I believe because I combined the like terms
Answer:
=98m−5
Step-by-step explanation:
A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of
soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?
The number of marbles in the bag is illustrated using proportions.
There are 15 basketballs in the bin
The given parameters are:
[tex]\mathbf{B : S = 3 : 1}[/tex]
[tex]\mathbf{S : D = 1 : 4}[/tex]
[tex]\mathbf{n = 40}[/tex]
First, we combine the ratios
[tex]\mathbf{B:S:D = 3:1:4}[/tex]
The number of basketballs is calculated as follows:
[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]
So, we have:
[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]
[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]
[tex]\mathbf{Basketball= 3 \times 5}[/tex]
[tex]\mathbf{Basketball= 15}[/tex]
Hence, there are 15 basketballs in the bin
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a frequency distribution shows the number of observations for each class (class being a value or a range of values), and a relative frequency distribution shows how close the values are to each other.
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other: TRUE
What is a frequency distribution?
In statistics, a frequency distribution is a graph or data set that shows the frequency of occurrence of each possible outcome of a repeatable event observed many times. Election results and test scores listed by percentile are simple examples. A frequency distribution can be represented graphically as a histogram or a pie chart. The number of observations for each class is shown in a frequency distribution (class is a value or a range of values).What is a relative frequency distribution?
A relative frequency distribution, which is related to a probability distribution and is widely used in statistics, shows the proportion of the total number of observations associated with each value or class of values. The relative frequency distribution demonstrates how close the values are to one another.Therefore, the statement "a frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other" is TRUE.
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The complete question is given below:
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other. TRUE or FALSE
Describe a proportional relationship involving some product or service and its cost that IS proportional. Explain why it is a proportional relationship, and identify the constant of proportionality.
Show your work. Use tables, graphs words, and numbers to explain your answer.
I WILL GIVE BRAINLIEST!!!
Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
Question 2
1 pts
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
vinegar. The line represents the relationship between the amount of oil and the
amount of vinegar needed to make salad dressing according to this recipe. The point
(1, 1.5) is on the line
(1, 1.5)
Give labels for the x-axis and the y-axis as it relates to the situation.
Edit View Insert Format Tools Table
Answer:
See below :)
Step-by-step explanation:
Hello,
So at the bottom, it says "Give lables or the x-axis and the y-axis as it relates to the situtation"
Labels are the things that show what each part of the graph means. See picture I uploaded after reading my explanation.
We first want to find out how (1, 1.5) relates to 3 tbs oil and 2 tbs vinegar
We want to find the same scale factor between the x and ys.
We can see that 1 is half of 2 and 1.5 is half 3 so we can say that,
Vinegar is the x
Oil is the y
What is
-12-6p-(-12)
Answer:
-6p
Step-by-step explanation:
-(-12) becomes 12 as (-12) x (-1) is 12
so, -12 + 12 -6p = -6p
if the area of a square is 121 sq.m what is the length of one side of the square ?
Pls help i need it for my flip learning ppt for school it’s urgent
In engineering, the modulus of elasticity is a way to measure how much an object deforms along an axis when opposing forces are applied among that axis. The formula can be expressed as E=(F2−F1)L0(δ2−δ1)A , where E is the modulus of elasticity, F is the axial force, δ is a deformation measure, L0 is the original length of the object, and A is the cross-sectional area.
Step-by-step explanation:
Consider an engineering material of initial length Lo, Area (A), Modulus of elasticity (E) and applied a force P due to which change in the length of the material is δ2 from it’s original length (Lo)
Initial length of the material is Lo. Hence, at time t = 0 when no force applied on the material the length of the material will not change (i.e., at time t=0, δ1 = 0)
Modulus of elasticity of the material:
[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
Area of the material:
[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
[tex]A=\frac{P \cdot L_{o}}{E\left[\delta_{2}-\delta_{1}\right]}[/tex]
Length of the material:
[tex]E=\frac{P \cdot L_{0}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
[tex]L_{0}=\frac{E \cdot A\left[\delta_{2}-\delta_{1}\right]}{P}[/tex]
Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?
Answer: 6.3
Step-by-step explanation:
I don’t know if this is correct or not !!!!!!! Please HELP !!!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
pretty sure my dude
Step-by-step explanation:
tbh just use a ruler
Nellie bought 4 pairs of Airpods Max for $2258.36. How much did she pay
for each of the Airpods Max? *
Answer:
$564.59
Step-by-step explanation:
you divide.
A shop sells cereal in boxes A, B and C. Box A 500 g for $1.73 Box B 750 g for $2.60 Box C 1.25 kg for $4.35. which box is the best value?
Answer:
Box C
Step-by-step explanation:
First switch the box that's in kilograms into grams. One kilogram=1000 grams. So box C is 1250 grams.
Next divide the amount in each box by the cost of each box.
Box A 500/173=2.89
Box B 750/260=2.88
Box C 1250/435=2.87
So, since box C has the lowest amount when divided, that box has the best value.
how do you find the square root of a whole number which are not perfect square
Answer: Finding the square root of numbers that aren't perfect squares
Divide: Divide the number that you are finding the squared root for with the number you picked in step 1. Average: Take the average of the number you got in step 2 and the square root. Repeat: Repeat steps 2 and 3 until the number is accurate enough for you.
Step-by-step explanation:
BRAINLESS PLEASE
find the ans:- 3.45×1000
You rent an apartment that costs \$1200$1200 per month during the first year, but the rent is set to go up \$70 $70 per year. What would be the monthly rent during the 6th year of living in the apartment?
Answer: 1550
Step-by-step explanation:
a_6=1200+(6-1)(70)
=1200+(5)(70)
=1550
Given the domain {-4, 0, 5}, what is the range for the relation 12x, + 6y = 24?
↣ Substitute all domains in the equation for the ranges.
[tex]12x+6y=24[/tex]
[tex]2x+y=4[/tex] ↣ Divide the whole equation by 6.
↣ Substitute x = -4 in the equation.
[tex]2(-4)+y=4\\-8+y=4\\y=4+8\\y=12[/tex]
Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.
↣ If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣
Which of the following is equivalent to −3(2x + 5y) − 7(2q + 3p)? −6x − 15y − 14q − 21p −6x + 5y − 14q + 3p −6x + 15y − 14q + 21p −21(2x + 5y − 2q + 3p)
Answer:
−6x − 15y − 14q − 21p
Step-by-step explanation:
Let's simplify step-by-step.
−3(2x+5y)−7(2q+3p)
Distribute:
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Answer:
=−21p−14q−6x−15y
The equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
−3(2x + 5y) − 7(2q + 3p)
For solving the equation we have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
First, open the bracket and multiply,
=−3(2x + 5y) − 7(2q + 3p)
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Rearrange the equation as
=−21p−14q−6x−15y
Thus, the equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
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PLEASE HELP WITH EXPLANATION!! THANK YOU ILL GIVE BRAINLEST
Answer:
All three of the answers, when rounded to the nearest tenth and turned into a decimal, are 0.9.
Step-by-step explanation:
What is the slope of the line y = 5x + 9? Just
write the number for your answer.
Solve the equation: x-10 - 2x + 7 = 8 + x - 10 - 3x
Answer: If you're looking for the value of x, it's 1.
Step-by-step explanation:
Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x
Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x
Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x
Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x
Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2
Hope that helps!
lets say you have two line segments , ab and cd which bisects each other at point E. explain why ac = ab
Answer:
When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
There is two ounces of water for every ounce of vegetables.
Step-by-step explanation:
Given that:
Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.
Ratio is defined as the quantitative relation between two numbers.
We will use ratio to compare the amount of water to amount of vegetables.
Ratio of water to vegetables
16 : 8
Dividing by 8
[tex]\frac{16}{8}:\frac{8}{8}[/tex]
2:1
Hence,
There is two ounces of water for every ounce of vegetables.
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
j
Step-by-step explanation:
How many solutions does the equation -2 + 2y + 3 = 3
a) none
b) one
c) infinity
d) three
Answer:
one
Step-by-step explanation:
y=1
hope this helps
Answer:
one
Step-by-step explanation:
A: Find the mean and standard deviation of the sums you should get when you roll two standard number cubes.
B: Suppose you can replace one number cube with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multiple faces. How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but the standard deviation is as large as possible? What is this value?
Answer:
45
Step-by-step explanation: