Which is equivalent to (3 + 4i )(3 - 4i )?
Use the FOIL method to solve.
(3 + 4i)(3 - 4i)
(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)
9 - 12i + 12i - 16i
9 - 16i
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anyone do the Algebra 2 unit 1 test on edg?
Step-by-step explanation:
no not me .. I'm doing math unit test
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
Option A is the correct answer.
We have,
To solve the equation 3x + 7 = 16 - 2x for x, we need to isolate the variable x on one side of the equation.
Let's solve it step by step:
Start with the original equation:
3x + 7 = 16 - 2x
- Add 2x to both sides of the equation to get rid of the -2x on the right side: 3x + 2x + 7 = 16 - 2x + 2x
- Simplifying, we have: 5x + 7 = 16
- Next, subtract 7 from both sides of the equation to isolate the term with x: 5x + 7 - 7 = 16 - 7
- Simplifying, we have: 5x = 9
- Finally, divide both sides of the equation by 5 to solve for x: (5x)/5 = 9/5
- Simplifying, we have: x = 9/5
Therefore,
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
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The complete question:
Solve the following equation for x: 3x + 7 = 16 - 2x
a) x = 9/5
b) x = 5
c) x = 4
d) x = 6
yall imma fail if you don't help me. what is the scientific notation for 0.12? I need answers asap
Answer:
1.2 x 10^-1
Step-by-step explanation:
So you are going to move the decimal to the right once, since it is where the first number is. Since you only moved the decimal once it is 10^-1. It is negative because you moved the the right. If you had moved the decimal to the left it would be positive.
What are the coordinates of r
can you help me please!!!!
please!!!! :)
Answer:
Qn.1
{4,5,6,7,8,9,12,15,16}is ans of 1
{8,9}is ans of 2
{4,5,6,7,8,9,18,20}is ans of 3
{}Is the ans of 4
{8,9,12,15,16,18,20}is ans of 5
{}is ans of 6
{4,5,6,7,8,9,12,15,16,18,20} is ans of 7
{8,9,12,15,16} is ans of 8
Qn.2
{0,12}is ans of 9
{0,2,10,12}is ans of 10
{0,4,6,8,12}is ans of 11
{2,4,6,8,10}Is ans of 12
{}is ans of 13
{0,12}is ans 14
{0,12} is ans 15
{0,2,10,12} is ans of 16
{0,12} is ans of 17
{0,12} is ans of 18
{2,10} is ans of 19
{4,6,8} is ans of 20
I haven't made the symbol of union and intersection because i don't how to make.
it may help you at your work
In science class, Sarah calculates the mass of a planet to be 918,000,000,000,000,000,000 kg. What is the mass of the planet in scientific notation? 91.8×1019 kg 9.18×10−20 kg 918×1018 kg 9.18×1020 kg
Answer:
Step-by-step explanation:
↘↘↘↙↙↖↗↙↖
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $10 every month. The second option is to put $100 away initially and save $30 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.
Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the population stops growing and a virus cuts it in half every day for 3 days. Organism B's population grows at the same rate but is not infected with the virus. After 8 days, how much larger is organism B's population than organism A's population? Answer the questions to find out. The expression showing organism A's decrease in population over the next 3 days is ( 1 2 ) ( 2 1 ) 3 . This can be written as (2–1)3. Write (2–1)3 with the same base but one exponent.
Answer:
The number of times organism B's population is larger than organism A's population after 8 days is 32 times
Step-by-step explanation:
The population of organism A doubles every day, geometrically as follows
a, a·r, a·r²
Where;
r = 2
The population after 5 days, is therefore;
Pₐ₅ = = 32·a
The virus cuts the population in half for three days as follows;
The first of ta·2⁵ he three days = 32/2 = 16·a
The second of the three days = 16/2 = 8·a
After the third day, Pₐ = 8/2 = 8·a
The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;
P₈ = a·2⁸ = 256·a
Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times
Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.
What is estimation? When is it helpful to use estimation?
Answer:
Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable
Step-by-step explanation:
The statistic used in the sign test measures ____.
Answer:
the comparisms between pairs of scores
Step-by-step explanation:
The sign test can also called statistical test , this test is essential in the determination of group size. It also give comparisms between the given value and median of datas
It should be noted that The statistic used in the sign test measures the comparisms between pairs of scores
Jamila paid $6 for a movie ticket, $1.59 for a small box of popcorn, and $2.50 for a drink at a movie theater. Which operation(s) would help Jamila find the total amount she spent at the theater?
Answer:
addition
Step-by-step explanation:
Answer:
It would be addition since you can see thats litterly the problem
Step-by-step explanation:
Kinda confused!! need help!!
Answer:
I think last option is correct
Answer:
Option 2. EG, DH, CG, FH
Step-by-step explanation:
Skew lines are lines that do not lie on the same plane, and they also never intersectLet's verify options
Option 1
AC is an exception, it intersects ABOption 2
All good, all lines are skew with ABOption 3
GH is an exception, Can be on the same plane with ABOption 4
CD is an exception, can be on the same plane with ABA square tile has a side length of 10 cm what is the area of the tile
Answer:
Area = a²
= 10²
= 100
Step-by-step explanation:
Answer:
100 cm 2
Step-by-step explanation:
Area of square = s ^ 2
= 10 ^ 2
= 100 cm square
Find surface area of the regular pyramid plz help ASAP
Answer:
B. 3,157 in^2
Step-by-step explanation:
surface area of a pyramid shown = 3x lateral area + base area
given:
s1 = s2 = s3 = 42 in
L = 38 in
lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in
base area = √3 * s^2
4
= √3 * 42^2
4
= 763.834 sq. in
therefore,
surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2
Answer:
= 3,157 in^2
Step-by-step explanation:
surface area = 3x lateral area + base area
given:
side lengths area s1 = s2 = s3 = 42 in
slant height = 38 in
lateral area = ( 1/2 * 42 * 38 )
= 798 sq. in
base area = (√3 * s^2 ) / 4
= (√3 * 42^2 ) / 4
= 763.83 sq. in
surface area = 3x 798 + 763.834
= 3,157 in^2
Which of the following relations is a function? A. (5, 11), (-9, 2), (-1, 8), (-6, 11) B. (11, 5), (2, -9), (8, -1), (11, -6) C. (-1, 11), (-9, 2), (-1, 8), (-9, -6) D. (5, 11), (-9, 2), (-1, 8), (-1, -6)
Answer:
A
Step-by-step explanation:
It is a function if none of the x-values are the same
I need help on this question 133^4/133^1
Answer:
[tex]133^3[/tex] (or 2352637)
Step-by-step explanation:
[tex]\frac{133^4}{133^1}=133^{4-1}=133^3[/tex] (or 2352637 for exact value)
How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 20 ft by 13 ft and 8 ft high if 1 gallon of paint covers 40 square feet?
Answer:
20 Gallons of paint are needed.
Step-by-step explanation:
Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.
Substituting the given values, we get:
SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8
SA = 1048
Area of the floor is length * width. 20 * 13 = 260
Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788
The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.
Therefore, 20 gallons of paint are needed.
Simplify each. (-2)(-5/6)
Answer:
5/3
Positive 5 over 3
Step-by-step explanation:
(-2)(-5/6)
10/6
5/3
The surface area Q of a certain shape is three times the product of u and the square of its width w.
Answer:
Q = 3uw
Step-by-step explanation:
what is the value of x in the proportion
Answer:
5 2/5
Step-by-step explanation:
Multiply by (3 3/5)x/(1 1/2):
x = (2 1/4)(3 3/5)/(1 1/2) = (9/4)(18/5)(2/3) =27/5
x = 5 2/5
Simplify
2 (0.1 + x) -8 (-X-0.3)
Answer:
0.2+2x+8x+2.4
10x+2.6
x=2.6-10
x=-7.4
I got this question wrong. So the 50% is not right. Please help.
Answer:
25%
Step-by-step explanation:
sorry if its wrong but im pretty sure its 25%
the answer is 3/8
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zales bought a tea set for $1400. zales wants to mark up the set 55% of the selling price. the selling price of the tea set should be?
Answer:
The selling price of the tea set should be: The selling price of the tea set is $2170
$1400 x . 55 = $770.
Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?
Which of the following r-values indicates the strongest correlation? r-value = 0.73 r-value = 0.73 r-value = 0.99 r-value = 0.99 r-value = - 0.85 r-value = - 0.85 r-value = - 0.17
Answer:
[tex]r-value = 0.99[/tex]
Step-by-step explanation:
Given
The list of options
Required
Which represents the strongest correlation.
When [tex]r-value > 0.7[/tex], it is considered to be strong.
Compare this condition with the given options, we're left with:
[tex]r-value = 0.73[/tex]
[tex]r-value = 0.99[/tex]
The above r-values show strong correlation.
However
[tex]r-value = 0.99[/tex] is stronger
because [tex]0.99 > 0.73[/tex]
Hence;
[tex]r-value = 0.99[/tex] answers the question
A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them. How will the price of the jeans be affected? Give reasons to your answer
If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.
For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.
the price of the jeans is likely to be affected by the low demand resulting from the high cost.
Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:
1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.
2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.
3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.
In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.
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The monthly snowfall totals from December 2010 through April 2011 were 22, 38.3, 18.5, 1.3, 0.9.
What was the average monthly snowfall during those months?
The length of a rectangle is twice the width. The perimeter is 48in. Find the dimensions of the rectangle.
Answer:
w = 6in
l = 12in
Step-by-step explanation:
To solve this problem we propose 2 equations
2w + 2l = 48in
l = 2w
We replace the value of l = (2w) into the first equation and solve
2w + 2(2w) = 48in
2w + 4w = 48in
6w = 48in
w = 48in/6
w = 8in
we replace the value of w and solve
l = 2(8in)
l = 16in
How do you write 8.095 in word form?
Answer:
How to Write Out Number 8.095 in Words:
eight and ninety-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Answer:
eight and ninety five thousandths
Step-by-step explanation:
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answer: 2.3 repeating
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