any help would be nice​

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.

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

Answer: 7.60x ≥ 500, where x represents the numbers of hours worked.

Step-by-step explanation:

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.

Answer:

6(6+2)4

6×8×4 = 192

Answer is 192

Answer:

12

Step-by-step explanation:

6(g+2)h=6(6+2)4=6(8)4=484=12

Answer:

y = -1/3x + 19/3

Step-by-step explanation:

let the equation of the line be y = mx + b

since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.

hence, 3 x m = -1

m = -1/3

sub m = -1/3 and (7, 4):

4 = -1/3(7) + b

b = 19/3

therefore, equation of the line is y = -1/3x + 19/3

Topic: coordinate geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

A: 6 + 2(x + 4) = 1/2(3 - x)

Answer:

52

Step-by-step explanation: This would be incorrect because 53.864 must round up.

LCM: 16r⁴+36r²s²+81s⁴,8r³–27s³,8r²–22rs+15s²

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

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

Answer:

true

Step-by-step explanation:

lel I do not process

Answer:

2123.72

Step-by-step explanation:

A=4πr2=4·π·132≈2123.71663

Answer:

2120 (rounded off to 3 s.f.)

Formula:

Surface area of sphere = 4×pi×r²

Step-by-step explanation:

Apply the formula with the radius as 13:

4×pi×13² = 4×pi×169

              = 676pi

              = 2120 (rounded off to 3 s.f.)

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

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

Answer:

6

Step-by-step explanation:

because you divided the amount of mile by the amount of time it took to get your answer

Answer:

-8,1 mabey I don't really know

Answer:

Step-by-step explanation:

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

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

Answer:

4/15

Step-by-step explanation:

Answer:

4/15 Is the answer

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

function A is  non linear

Answer:

Step-by-step explanation:

Answer:

i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid

Step-by-step explanation:

Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.

Step-by-step explanation:

Answer: 20 boys

Step-by-step explanation:

4+3 = 7 total parts

let x be one part

7x=35

x=5

4x=20

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)

Answer:

Step-by-step explanation:

15:35 should be 3/7