Let x=−1−5i and y=5−i. Find x+y

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.

Answer:

Drag Item to both the VALUES and the ROWS area

Step-by-step explanation:

To find out how many of each type of candy you have; Drag Item to both the VALUES and the ROWS area

Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

Answer:

Represent 1/2 by covering 50 squares.

Step-by-step explanation:

There are 100 squares in a 10-by-10 grid.

1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.

1) 520

2)60

3)2600

4)3760

Answer:

1. 520

2. 60

3. 2600

4. 3760

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

Answer:

in the first person participle.

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Answer:

the families who use both radio and television is 44.

Answer:

$ 2,600

Step-by-step explanation:

It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .

Here we just need to the number of people with the amount each person gave , that is ;

[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]

Hence the total money received by the organisation is $ 2600 .

Answer:

Step-by-step explanation:

resolver. Álgebra 1

14=4-6x-2

4-6x-2 : 2

Rpta: 2

Answer:

the answer is 1

Step-by-step explanation:

(√4 / √6) + (√6 / √4)

(2 / 2√3) + (2√3 / 2)

√3 / √3

= 1

Answer:

Value of x:

[tex]{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\ { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7[/tex]

Finding m‹2 :

[tex]{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}[/tex]

Answer:

m∠2 = 50

Step-by-step explanation:

7x + 1 and 18x + 4 are angles in a linear pair.

Sum of linear pair angles is supplementary.

7x + 1 + 18x + 4 = 180

7x + 18x + 1 + 4 = 180

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 175 / 25

x = 7

Substitute x = 7 in 7x + 1,

7x + 1

= 7 ( 7 ) + 1

= 49 + 1

= 50

7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.

∠2 = 7x + 1

∠2 = 50

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \rm{tangent \: = \: opposite \:/ adjacent} \\ \rm{tan \: x \: = \: 40 \:/ 34} \\ \rm \: x \: = arctan \: (40 \:/ 34) \\ \: \rm {x \: = \boxed{49. \: 60°}}[/tex]

Answer:

[tex]y=|x-(-2)|+2[/tex]

Step-by-step explanation:

Hope this is helpful.

The required absolute function is given as y = |x - 2| + 2.

Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2

Thus, The required absolute function is given as y = |x - 2| + 2.

learn more about function here:

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Answer:

So the answer is 30%

Step-by-step explanation:

1. For 50 = 15 increase euros

2. For 100 = 15/50 x 100 = 30 increase in euros

3. 30/100 = 30%

OR....

1. Ten percent of 50 is 5.

2. 5x3= 15(increase in euros)

3. 10 percent three times which is equal to 30%.

Answer: 8

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

For a given set of N elements:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the variance is given by:

[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]

Then for our set:

{70, 80 ,75, 75, 80}

We have 5 elements, then N = 5

The first thing we need to find is the mean.

[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]

Then the variance will be:

[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]

The correct option is C, 14.

Answer:

x = 12

Step-by-step explanation:

The sum of angles in a triangle is 180°

Thus,

(x + 20) + (10x) + (x + 16) = 180°

Collect like terms

x + 10x + x + 20 + 16 = 180°

12x + 36 = 180°

12x = 180 - 36

12x = 144

Divide both sides by 12

x = 144 ÷ 12

x = 12

Substitute the value of x into the question

Therefore,

x + 20 = 12 + 20

= 32°

10x = 10(12)

= 120°

x + 16 = 12 + 16

= 28°

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]   (s is a side length)

24 = [tex]s^{2}[/tex]

[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]

[tex]\sqrt{24}[/tex] = s

[tex]\sqrt{(4)(6) }[/tex] = s

2[tex]\sqrt{6}[/tex] = s

Step-by-step explanation:

Volume of the block

[tex] = lbh[/tex]

[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]

[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]

[tex] = \frac{15}{512} [/tex]

Answer:

See explanation

Step-by-step explanation:

Function A is not clear; I will use the following in place of function A

Function A:

[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]

[tex]y \to -1|\ 3|\ 5|\ 9[/tex]

Function B:

[tex]y = 2x + 4[/tex]

Required

Compare both functions

For linear functions, we often compare the slope and the y intercepts only.

Calculating the slope of function A, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,-1)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{3 - 1}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y

i.e.[tex](x,y) = (0,y)[/tex]

Using the slope formula, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]m = 2[/tex]

[tex](x_1,y_1) = (0,y)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]2 = \frac{3 - y}{3 - 0}[/tex]

[tex]2 = \frac{3 - y}{3}[/tex]

Multiply by 3

[tex]6 = 3 - y[/tex]

Collect like terms

[tex]y = 3 - 6[/tex]

[tex]y = -3[/tex]

So, for function A:

[tex]m = 2[/tex] -- slope

[tex]y = -3[/tex] --- y intercept

For function B

[tex]y = 2x + 4[/tex]

A linear function is represented as:

[tex]y = mx + b[/tex]

By comparison

[tex]m = 2[/tex] --- slope

[tex]b = 4[/tex] --- y intercept

By comparing the results of both functions, we have the following conclusion:

Functions A and B have the same slope (i.e. 2)

Function B has a greater y intercept (i.e. 4)

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

[tex] 35.23 \times 3.02 = 106.3946 [/tex]

The result expressed in 2 decimal places is:

[tex] 106.3946 = 106.40 [/tex]  

Therefore, the exact value is 106.40

I hope it helps you!

Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

Answer:

y - 10 = -7 (x + 1)

Step-by-step explanation:

pont = (-1,10)     slope = -7

y - 10 = -7 (x + 1)

Answer:

a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)

Answer:

$4920446.6202

Step-by-step explanation:

the formula for compound interest is: P(1+ r/n)^n*t

p= principle (the amount of money you invest/ start with)

r= the interest rate (which is the percentage in decimal)

n= the number of times its compounded per year (52 weeks per year)

t= the amount of time (usually in years)

now, you plug the numbers youre given into the formula:

93000(1+0.0819/52)^52*11

= $4920446.62402

hope this helps :)

Mile's account balance after 11 years will be $228,786.8

"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where A = Accrued amount (principal + interest)

P = Principal amount

r = interest rate as a decimal

R = interest rate as a percent

r = R/100

n = number of compounding periods

t = time in years"

For given question,

P = $93000,

t = 11 years

n = 52 (weekly compounding)

R = 8.19%

So, the interest rate in decimal would be,

[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]

Using the formula of compound interest,

[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]

Therefore, Mile's account balance after 11 years will be $228,786.8

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[tex]$\mathcal{PROCESS:}$[/tex]

[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]

To know the result of trees we will do the following steps...

[tex]200/5=?[/tex]

40 trees were planted

Answer:

41 Trees

Step-by-step explanation:

Answer:

[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]