Answer:
10i
Step-by-step explanation:
Step 1: Expand first 2
(1 + i)(2 + i)
2 + i + 2i + i²
2 + 3i + (-1)
1 + 3i
Step 2: Expand again
(1 + 3i)(3 + i)
3 + i + 9i + 3i²
3 + 10i + 3(-1)
3 + 10i - 3
10i
Which table represents a linear function? sorry im dumb ;w;
Answer:
Your answer is the third option
A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.
So for side "x" 1 is being added to each number and for side "y" is being subtracted by 2
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran miles.
1. How many feet is that
Answer: 5,280
Step-by-step explanation:
Y=4x-9
(3, )
Complete the missing value in the solution to the equation
3/2(6x+4)=12 im dumb help me
Answer:
The correct answer is x = 2/3.
Step-by-step explanation:
To solve this problem, the first step I would take is multiply both sides by 2. This will allow us to get rid of the fraction on the left side of the equation and make it easier to solve. This is modeled below:
3/2(6x + 4) = 12
3(6x +4) = 24
Next, we can use the distributive property on the left side of the equation to get rid of the parentheses.
18x + 12 = 24
Then, we can subtract 12 from both sides of the equation.
18x = 12
Finally, we can divide both sides by 18 and simplify.
x = 12/18 = 2/3
Therefore, the correct answer is x =2/3.
Hope this helps!
Simplify the algebraic expression. (m - 7) + 5(m - 3)
Answer:
6m -22
Step-by-step explanation:
(m - 7) + 5(m - 3)
= m - 7 + 5m - 15
= 6m -22
Answer: 6m-22
Step-by-step explanation:
Given
(m-7)+5(m-3)
Take off parentheses/distributive property
= m-7+5m-15
Move like terms together
=m+5m-7-15
Combine like term
=6m-22
Hope this helps!! :)
Please let me know if you have any question
brainleist find the set of which -8/9 belongs to A integers b whole numbers c irrational numbers d real numbers e rational numbers f natural numbers
You deposit $140 in a bank account that pays an annual interest rate of 3.5%.
How much simple interest will you earn after one year? Show your work.
Answer:
$4.90
Step-by-step explanation:
Simple Interest = Principle x interest rate x time period
Principle = $140
Interest rate = 3.5% or .035
time = 1 year
interest = 140 x .035 x 1
interest = $4.90
I hope this helps!
-TheBusinessMan
CAN SOMEONE PLEASE HELP ME WITH THIS FUNCTION PROBLEM
Answer:
Choose f(x) = 11x + 1
Step-by-step explanation:
Note that we will simply plug the value of 2 into the equation for February:
f(2) = 11(2) + 1 = 23
And plug the value of 6 into the equation for June:
f(6) = 11(6) + 1 = 67
Note how the points on the graph seem to match up with these values. If we evaluate following the same style for each:
f(3) = 11(3) + 1 = 34
f(4) = 11(4) + 1 = 45
f(5) = 11(5) + 1 = 56
Note, these values seems to be very close in approximation to the graph points for each month.
The other three functions return values that are just to far away from what are represented in the graph.
Cheers.
Solve for the value of z in this equation:
2z+ 18 = 5z ;
Z =
Answer:
z=6
Step-by-step explanation:
2z+18=5z
5z-2z=18
3z=18
z=18/3
z=6
Hope this helps!!!
(Please mark me brainliest)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{z = 6}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2z + 18 = 5z}[/tex]
Move 5x to left hand side and change it's sign
Similarly, Move 18 to right hand side and change it's sign
⇒[tex] \sf{2z - 5z = - 18}[/tex]
Collect like terms
⇒[tex] \sf{ - 3z = - 18}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3z}{ - 3} = \frac{ - 18}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{z = 6}[/tex]
Hope I helped!
Best regards!!
50 divided by a number y
A circle has a circumference of 50.24 units.
What is the radius of the circle?
units
Show Calculator
Answer:
radius = 8 unitsStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 50.24 units
To find the radius substitute the value into the above formula and solve for the radius
That's
[tex]50.24 = 2\pi \: r[/tex]
Divide both sides by 2π
We have
[tex]r = \frac{50.24}{2\pi} [/tex]
r = 7.9959
We have the final answer as
radius = 8 unitsHope this helps you
Answer:
8 units
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
50.24 = 2 * pi * r
Using 3.14 to approximate pi
50.24 = 2 * 3.14 * r
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 = r
at the grocery store, coco choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?
Answer:
41 cinnamon granola bars were sold.
What equation do you get when you solve a-q=a+sx for x?
Answer:
[tex]x=\frac{-q}{s}[/tex]
Step-by-step explanation:
[tex]a-q=a+sx\\a-a-q=a-a+sx\\-q=sx\\\frac{-q}{s}=\frac{sx}{s}\\x=\frac{-q}{s}[/tex]
The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero base, _______ the exponents.
Answer:
The quotient rule for exponents states that [tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Step-by-step explanation:
Some rules to solve exponents are:
[tex]x^{0}=1[/tex] [tex](x^{m})^{n}=x^{mn}[/tex] [tex]x^{-n}=\frac{1}{x^{n}}[/tex] [tex]x^{m}\cdot x^{n}=x^{m+n}[/tex] [tex]\frac{x^{m}}{x^{n}}=x^{m-n}[/tex]The quotient rule for exponents states that:
[tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Exponential functions in indices
According to the quotient law of indices
[tex]\frac{a^m}{a^n} = a^{m-n} [/tex]Based on the law, you can see that the expoenented was subracted since the base are equal.
The same is applicable to [tex]\frac{b^m}{b^n} [/tex]. this can be expressed as [tex]b^{m-n}[/tex]. This shows that when dividing exponential expressions with the same nonzero base, subtract the exponents.
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The members of a cooking club are making cakes, which they will sell at a street fair for $9 apiece. It cost $50 for a booth at the fair, and the ingredients for each cake cost $4. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be?
Answer:
Sales= $90
Expenditures= $90
Step-by-step explanation:
The members of a cooking club are making cakes.
The cakes will be sold at a street fair price of $9 for each cake.
It cost $50 for a booth at the fair.
The ingredients for each cake cost $4
Let y represent the number of cakes that was sold
Since the price of each cake is $9 then,
Sales = $9y
Since the booth cost $50 and ingredients cost $4 then,
Expenditures = $50 + $4y
Sales = Expenditures
9y= 50 + 4y
Collect the like terms
9y-4y= 50
5y= 50
Divide both sides by the coefficient of y which is 5
5y/5= 50/5
y= 10
Sales= 9×10
= $90
Expenditures= $50 + 4(10)
= $50+$40
= $90
Hence the sales is $90 and the expenditures is $90
a point where a graph crosses the y axis is called a
Answer:
y intercept
Step-by-step explanation:
The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.
Subtract - 10x + 7y from -15x+6y
Answer:
Here is the solution solution-
(-15x+6y)-(-10x+7y)
= -15x+6y+10x-7y
= (-15x+10x)+(6y-7y)
= -5x-y
7.
Which point on the number line best represents the location of V92?
MN
Q
+
8
9
10
A. Point M
B. Point N
C. Point P
D. Point Q
Answer:
C
Step-by-step explanation:
Square root of 92 is 9.591663047
so round that to 9.59
(7-2)^2/4+3^4-10
Can somebody please help me please
Step-by-step explanation:
bodmas
7-4/4+12-10
7-4/16-10
3/4
0.75
You have to simplify this expression.
-2x+3-(5-6x)
Answer:
4x−2
Step-by-step explanation:
Answer:
4x -2
Step-by-step explanation:
-2x+3-(5-6x)
Distribute the minus sign
-2x+3-5+6x
-2x+6x +3-5
4x -2
Write the function g(x) as a transformation of the parent function
f(3) = |sc|, where the graph has been vertically compressed by a factor of
ş, shifted right 2 units, and shifted up 10 units.
A g(x) = 12 +2] +10
B g(x) = {\2 + 101 – 2
C g(x) = - +2] + 10
D g(x) = 42-2/+10
how to do this question plz answer me step by step plzz
Answer:
The four angles are;
30 degrees, 85 degrees, 95 degrees , and 150 degrees
Step-by-step explanation:
Call the four angles of this quadrilateral A, B, C, and X (being X the smallest angle)
Then angle A is 55 degrees larger than X , therefore we can write it as X+55
Angle B is 65 degrees larger than X , therefore we can write it as X+65
Angle C is 120 degrees larger than X , therefore we can write it as X+120
Then we know that the addition of all four angles of a quadrilateral must give 360 degrees , so we have:
X + X + 55 +X + 65 + X + 120 = 360
that is:
4 X + 240 = 360
4 X = 360 -240
4 X = 120
X = 120/4
X = 30 degrees
and the other angles are:
30 + 55 = 85 degrees
30 + 65 = 95 degrees
30 + 120 = 150 degrees
Andrew walked 24 laps during a walkathon to raise money for his schools art department. Each las was 1/4 of a mile, and his dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate?
Answer:
$31.50
1/4 of 24 is 6 and 6x5.25 is 31.50
Answer:
31.50
Step-by-step explanation:
Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?
Answer:
She is incorrect.
Step-by-step explanation:
She is incorrect.
An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.
Here are the integers:
..., -3, -2, -1, 0, 1, 2, 3, ...
-5.5 is not an integer.
Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.
Given,
Rachel states that -5.5 is an integer because it is negative.
We need to find out whether Rachel's statement is correct and give a reason.
What are integers?Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......
It includes all whole numbers.
We have,
-5.5 is a negative rational number.
Integer has no decimal point.
-5.5 is not an integer.
Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.
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the diagonal of a square is x what is the perimeter of the square
Answer:
2[tex]\sqrt{2}[/tex] x
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and hypotenuse x
Using Pythagoras' identity on one of the right triangles, then
s² + s² = x²
2s² = x² ( divide both sides by 2 )
s² = [tex]\frac{x^2}{2}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{x^2}{2} }[/tex] = [tex]\frac{x}{\sqrt{2} }[/tex]
Thus
perimeter = 4s = 4 × [tex]\frac{x}{\sqrt{2} }[/tex] = [tex]\frac{4x}{\sqrt{2} }[/tex]
Multiply numerator/ denominator by [tex]\sqrt{2}[/tex]
perimeter = [tex]\frac{4x\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex] x
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. What percent of 1 spig is 5 spugs
The percentage of 1 spig to 5 spug is 17.9%
What is percentage?
Percentages are essentially fractions where the denominator is 100.
40% of spig =1spoog
25% of speeg = 1 spoog
therefore 40%spig = 25% speeg
1 spig = 25/40 speeg
1 spig = 5/8 speeg
70% of speeg= 1 spug
70/100 speeg = 1 spug
therefore dividing both sides by 100/70
1 speeg = 100/70spug = 10/7spug
similarly 8/5 spig = 1 speeg
therefore 8/5 spig = 10/7 spug
divide both sides by 5/8
1 spig = 50/56 spug
percentage of 1 spig to spug =
89.3 % spug is 1 spig
therefore the percentage of 1 spig of 5 spugs is 89.3% /5 = 17.9%
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what number sets or set does 11 belong to?
Answer:
Prime number
Step-by-step explanation:
Because it cannot be be multiplied by any other number less then it.
Prove theorems about triangles examine each triangle
Answer:
not possible
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
25 + 196 = 400
221=400
Some 5th grade boys are playing with sugar cubes. Each sugar cube measures 1x1x1 cm. The box is 5 cm long,10 cm high and 12 cm wide. How many sugar cubes can fit in the box
Answer:
Number of sugar cubes fit in box = 600 sugar cube
Step-by-step explanation:
Given:
Size of sugar cube = 1 x 1 x 1 cm
Size of box.
Length = 5 cm
Width = 12 cm
Height = 10
Find:
Number of sugar cubes fit in box
Computation:
Volume of sugar cube = 1 x 1 x 1
Volume of sugar cube = 1 cm³
Volume of box = 5 x 10 x 12
Volume of box = 600 cm³
Number of sugar cubes fit in box = Volume of box / Volume of sugar cube
Number of sugar cubes fit in box = 600 / 1
Number of sugar cubes fit in box = 600 sugar cube
Answer:
600
Step-by-step explanation:
volume of the cube a^3 = 1×1×1 = 1 cm^3
Volume of the box = 5×10×12 =600 cm^3
No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube
=600/1 =600
Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:
Answer:
1,2,2,1,2
Step-by-step explanation:
on edg
Conclusion: a slope of 0
Hypothesis: is there is a vertical lineConclusion: then it has an undefined slope.
What is Hypothesis?
A hypothesis, in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
given:
1. If a line is horizontal, then it has a slope of 0.
Hypothesis: line is horizontal
Conclusion: a slope of 0.
2. . A vertical line has an undefined slope.
Hypothesis: is there is a vertical line
Conclusion: then it has an undefined slope.
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