Step-by-step explanation:
I think 9.279..............
Write the product(2+7i)(2-7i) in the form a+bi
Answer:
53
Step-by-step explanation:
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(2 + 7i)(2 - 7i)
(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)
4 + -14i + 14i + [tex]-49i^{2}[/tex]
4 + [tex]-49i^{2}[/tex] ([tex]i^{2}[/tex] = -1)
4 + (-49 * -1)
4 + 49
53.
53 is the result.
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#teamtrees #WAP (Water And Plant)
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
i² = √-1² = -1
We have,
(2 + 7i) (2 - 7i)
We need to write in the form of a + bi.
a + bi
a = real number
b = imaginary part
(2 + 7i) (2 - 7i)
Remove the brackets.
= 2 x (2 - 7i) + 7i x (2 - 7i)
= 4 - 14i + 14i - 49i²
= 4 - 14i + 14i - 49 x -1
= 4 - 14i + 14i + 49
= 4 + 49
= 53
We have only the real part.
So,
The product of (2 + 7i) (2 - 7i) is 53 + 0i.
Thus,
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
Learn more about imaginary numbers here:
https://brainly.com/question/6748860
#SPJ5
True or false density is mass overv weight
Answer:
true
Step-by-step explanation:
lel I do not process
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?
Answer: 20 boys
Step-by-step explanation:
4+3 = 7 total parts
let x be one part
7x=35
x=5
4x=20
helppp? if possible
Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Which of the following situations can be modeled with a periodic function?
Answer:
the height of a pebble stuck in the tread of a tire
Step-by-step explanation:
hope it helps. make the brainliest
Answer:
the height of a flag on one blade of a windmill, the height of a ball suspended from a spring
Step-by-step explanation:
edge2020
A toy story marks down every toy by 15% in January. How much does a toy cost during January?
Answer:
Well it all depends on the price of the toy.
So you are going to multiply the price of the toy and 15%. You will get the answer and subtract that number minus the price.
Example, a toy costs $30 in December, in January it will cost $25.50.
Step-by-step explanation:
30x15%= 4.5
30-4.5= 25.50
Answer:
just take 15% off what the toy is
Step-by-step explanation:
The longest side of a right triangle is 5 meters and the shortest side is 3 meters. What is the area of the triangle in square meters?
PLEASE EXPLAIN I DONT UNDERSTAND!! Thank you
Answer:
1) a. Verticle angles are congruent
3) b. Same-side interior angles are supplementary
5) d. Alternate interior angles are congruent when the lines are parallel
6) c. Substitution
Step-by-step explanation:
1) ∠1 and ∠2 are vertical angles, they're congruent
3) ∠2 and ∠3 are same-side interior angles which are supplementary (add up to 180)
5) ∠3 and ∠4 are alternate interior angles meaning they're congruent
6) idrk how to explain it but its the last one so substitution goes with it :)
A website charges $3 for each
movie you
download. They also charge a one-time sign-up
fee of $14.99
Think about the relationship. Which equation
models the cost c(m), of renting m movies?
What is the input variable?
V m, the number of movies.
What is the output variable?
c, the total cost.
Answer:$ 3m+$14.99
Step-by-step explanation:
$3 for each movie $3+14.99
What is the domain of the function?
Answer: m= 0, 1, 2, 3...
what is Carol’s total hours worked? And what is Carol’s total gross income
Answer:
1.230 hours
2.$4,045
Step-by-step explanation:
1.40+40+40+40=160 for full time job
20+10+15+25=70for part time job
add =230 hours
2.160*18.15=2,960 for full time job
70*15.5=1,085 for part time job
add = $4,045
2. How can the trend line equation be used to
predict the cost of gas per gallon in the year
1992?
a. Substitute 92 for x in the equation.
b. Substitute 92 for y in the equation.
c. Substitute 22 for x in the equation.
d. Substitute 22 for y in the equation.
Answer:
c. Substitute 22 for x in the equation.
Step-by-step explanation:
The scatter plot of this question is missing, so i have attached it.
The slope equation of this is written as;
y = mx + b
Where;
y is the values in the y-axis
x is the values in the x-axis
b is the intercept on the x-axis
Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.
Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.
Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.
Answer:
C
Step-by-step explanation:
I know
What value represents the upper quartile of the box plot shown?
Answer:
33
Step-by-step explanation:
The median is 26 and the lower quartile is 19
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
a positive number multiplied by a negative number equal a positive number. True or False
Answer: False
Step-by-step explanation:
Example 3 times -3= -9
Answer: False
Step-by-step explanation:
Positive * Positive = Positive
Negative * Positive = Negative
Negative * Negative = Positive
is this a triangle :/
Answer:
Could you please attach the image in another question, you have nothing attached to this one.
4 + 3(4 - 9^0)+ 5^-3i
Answer:
13.008 or 13 1/125 or 1626/125
Step-by-step explanation:
What is the ratio 15 to 35 written as a fraction in lowest terms? 13 37 35 57
Answer:
Step-by-step explanation:
15:35 should be 3/7
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is: [tex]a_n=a_1r^{n-1}[/tex]
We have a₁=26 and r = 0.5 n=10
[tex]a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051[/tex]
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is: [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48[/tex]
So, sum of first 18 terms of given sequence is 51.48
b)
Here are the ingredients needed to make 8 pancakes.
Submit Ans
250 ml milk
1 egg
140 g flour
5g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b) Craig makes 12 pancakes.
Work out how much butter he needs.
Answer:
a) 125 ml milk
b) 7.5g butter
Step-by-step explanation:
a) 250ml of milk to make 8 pancakes
That means 125ml ((250/8) × 4 ml) of milk = 4 pancakes
b) 5g of butter = 8 pancakes
That means 7.5g ((5/8) × 12 g) of butter = 12 pancakes
which equation represents the relationship between x values and y values in the table
y=4x+6
y=2x+4
y=x+4
2x+12
x y
0 4
2 16
4 28
6 40
10 64
Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?
Answer:
6
Step-by-step explanation:
because you divided the amount of mile by the amount of time it took to get your answer
which is incorrect rounding for 53.864?
Please help me!
Answer:
52
Step-by-step explanation: This would be incorrect because 53.864 must round up.
What would this be ?
Answer:
-8,1 mabey I don't really know
(4x + 13x2 +27x+6) = (4x + 1)
Answer:
x=-5/53
Step-by-step explanation:
1. Add similar elements: 4x+27x=31x
2. Multiply 13 times 2 to get 26
3. Once again add the similar elements: 31x+26x=57x
4. Expand!!: Originally (4x+1) take away the Parentheses!!
5. 57x+6=4x+1
6. Subtract 6 from both sides: 57x+6-6=4x+1-6
7. Simplify: 57x=4x-5
8. Subtract 4x from both sides: 57x-4x=4x-5-4x
9. Simplify: 53x=-5
10. Divide both sides by 53: 53x/53= -5/53
11. x= -5/53
solve the system of equations 8x+2y=6
y= -4x+3
Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Answer:
A: 6 + 2(x + 4) = 1/2(3 - x)
show any calculations, including 180 degrees, go step by step pls.
Answer:
120°, 120°, 60°, 60°
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
I need help please )):
Which of the following represents a "rule of thumb" for how much
student loan debt you should be willing to incur to pay for college?
Answer:
Rule of thumb is;
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
Step-by-step explanation:
When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.
The Quotient of 5 times a number and 7 is no more than 10.