15r-15s=
can you help

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]

[tex]=\sqrt{36+12}[/tex]

[tex]=\sqrt{48}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

[tex]=\sqrt{3}\sqrt{2^4}[/tex]

[tex]=4\sqrt{3}[/tex]

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]

[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]

Answer:

6%

Step-by-step explanation:

Interest = Principal * rate * time

      156 = 520(r)(5)

      156 = 2600r

           r = 0.06 or 6%

Answer:

6 percent

Step-by-step explanation:

Interest =1 Part

156 = 520(annual rate )(5)

156 = 2600(annual interest rate )

annual rate=156/2600  

annual interest  rate  = 0.06

annual interest rate=0.06*100

annual interest rate =6%

Answer:

False, -14 is less that 35

Step-by-step explanation:

Answer:

x-14>35

Step-by-step explanation:

x-14>35

1. Replace "A number " with x

x minus 14 is more than 35

Minus = subtraction

x-14 is more than 35

Is more than translates to the inequality >

x-14>35

Hope this helps plz hit the crown :D

Answer:

i think ac=10.4

Step-by-step explanation:

Answer:

The probability that an individual has the disease and has a positive test result is:

9.8%.

Step-by-step explanation:

Probability of a true positive result for a test of syphilis = 0.98 or 98%

Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)

Probability of a true negative result for a test of syphilis = 0.9 or 90%

Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)

Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%

Answer:

The ratio of boys to girls is 2:3.

Step-by-step explanation:

6:9 = 2:3

Answer: la 3ra contando desde la isquierda

Step-by-step explanation:

Answer:

3, 2, 0

Step-by-step explanation:

There are three modes, all numbers have at least two appearances.

Please give thanks by clicking the heart! I solved your other problem too :)

Answer:

(60-40)+80

Step-by-step explanation:

Answer:

d=1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-11d+6=13d+22

-11d - 13d = 22 - 6

-24d = 16

Answer: 1st and 4th

Step-by-step explanation:

Answer: The answers are the first and fourth one.

Step-by-step explanation: Because of the rules of linear measures

Answer:

Concept: Mathematical Analysis

Answer:

hey i see that you are on nitro type what is your name

the answer is 2/6

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(12 - 8) + 5

3(4) + 5

12 + 5

17

Answer: The answer is y= -3 sin(2x) which is C

Step-by-step explanation:

Because I got it right

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

history= 70

total = 400

now

student of history in college = student in history÷ total students of history×100%

= 70/400×100%

= 17.5 %. (A)

Answer: A. The slope is -5, and the y-intercept is (0,4)

Step-by-step explanation:

In standard form, a function is written as y = mx + b, where m = slope and b = the y-intercept

With that in mind, the m value is -5 and the b value is 4

Thus, the slope is -5, and the y-intercept is (0,4)

Answer:

Step-by-step explanation:

this is the answer

Answer:

Yes by AA similarity

Step-by-step explanation:

<ACB is congruent to <ECD by vertical angles, so we have one pair of comgruent angles.

<B is congruent to <CDE because they are both 90 angles, so we have another pair of congruent angles.

Triangle ABC is similar to triangle EDC by AA similarity.

I hope this helps! :)

Answer:

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

[tex](x_1,y_1) = (-400,-400)[/tex]

[tex](x_2,y_2) = (100,-500)[/tex]

First, we calculate the slope (m):

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

[tex]m = \frac{-500 - (-400)}{100- (-400)}[/tex]

[tex]m = \frac{-500 +400}{100+400}[/tex]

[tex]m = \frac{-100}{500}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation is then calculated using:

[tex]y - y_2 = m(x - x_2)[/tex]

Substitute x and y values

[tex]y - (-500) = -\frac{1}{5}(x - (100))[/tex]

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

plugin values into the formula:

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

Answer:

-4y+24

Step-by-step explanation:

You multiply -8 by each figure in the parenthesis.

So, -8(0.5y) and -8(-3)  which is -4y+24 .

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15