Find the magnitude of -3i.A. 3iB. √3C.-3D. 3

Answer:

1-1=0

1*0=0

I dont know if I'm right

Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.

To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.

We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:

θ = tan⁻¹ (y/x)

where θ is the angle between the vector and the positive x-axis.

In this case, the y-component of vector A is 45 m and the x-component is 25 m:

θ = tan⁻¹ (45/25) = 60.255°

Learn more about dot product here:

brainly.com/question/29097076

#SPJ1

Answer:

2x + 4 > 14

2x > 10

x > 5

Answer:

C.x>5

Step-by-step explanation:

2x+4>14

2x>10

x>5

Hope this helps! :)

Answer:

The answer is C.

Step-by-step explanation:

The answer is C because both numbers in 4:9 can be multiplied by the same factor (3) to get 12:27, the answer. No other choice works because they require two different number factors, not just one, which means they aren't equivalent ratios to 4:9.

40 pounds of salami are purchased by a deli for its renowned grinder sandwiches. An illustration of an intermediate good is salami.

Given fill-in-the-blank;

A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.

The answer for this case is Intermediate.

A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of Intermediate goods.

To learn more about intermediate click here:

brainly.com/question/13447937

#SPJ4

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

Answer:

\((5+3\sqrt{2} )^{2} =43+30\sqrt{2}\)  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

\(=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}\)

\(=25+30\sqrt{2} +18\\\)

\(=43+30\sqrt{2}\)

≈85.43

Hope this helps

Hello!

Here, we apply the algebraic identity :

\(\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}\)

Let's solve!

⇒ (5 + 3√2)²

⇒ (5)² + 2(5)(3√2) + (3√2)²

⇒ 25 + 30√2 + 18

⇒ \(\boxed {43 + 30\sqrt{2}}\)

∴ The final answer will be 43 + 30√2.

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

41/5

Step-by-step explanation:

7+5m=48

5m=41

m=41/5

By AAS congruency the two triangles are congruent

Answer:

-4,-1,2,5 if your going up in value and if your going down 5,2,-1,-4

Step-by-step explanation:

Answer:

The sequence is +3.

Step-by-step explanation:

Each number goes up by 3.

-1-(-4)=3

2-(-1)=3

5-2=3

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

4290

Step-by-step explanation:

Lets find the total number of men and women .

9 women are out and 2 became the member of the Board=> total 11 women

11 men are out and 2 became the member of the Board=> total 13 men

11 women-candidates for 2 positions can make C11 2  outcomes =11!/(11-2)!/2

13 men-candidates for 2 positions can make C13 2 outcomes= 13!/(13-2)!/2

The total number of outcomes is C11 2 *C13 2 = 13!*11!/9!/11!/2/2=

10*11*12*13/2/2=11*13*5*6=4290 outcomes

Answer:

w= 6

Step-by-step explanation:

I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.

L= 2w - 5

I used 6 as a random, educated guess for the value of w.

L = 2(6) - 5

L = 12-5

L = 7

Then, multiply L by 2 to account for both side lengths of the rectangle.

7(2)= 14

Subtract that value from the total perimeter to find what the width must equal.

26 - 14 = 12

Divide that answer by 2 since there are two sides for width.

12/2 = 6

I know this was kind of long, but I hope it helps! :)

Answer:

X(x+1)

Step-by-step explanation:

If it is wrong I'm sorry.

4580 or 4600 is the best answer I have gotten for this question

let's firstly convert the mixed fractions to improper fractions and then multiply.

\(\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}\)

I just want to mention that the question is wrongly written!

it's meant to be  x² − 10x − 11 = 0 and not x2 − 10x − 11 = 0

and so the other equations!

Answer:

The answer is B: (x − 5)² = 36

Step-by-step explanation:

by solving the equations using the quadratic formula we found:

the solutions for x² − 10x − 11 = 0 | x = 11, -1

the solutions for A | x = 16, 4

the solutions for B | x = 11, -1

the solutions for C | x = \(\sqrt{21} +5\), \(-\sqrt{21}+5\)

the solutions for D | x = \(\sqrt{21}+10, -\sqrt{21}+10\)

the given equation: x² − 10x − 11 = 0 and the equation B: (x − 5)² = 36 have the same solutions

Therfore B is the correct answer

We are asked the following:

This means the logarithm in base 6 of 8. Therefore, we need to determine a number that is an exponent of "6" and the result is 8. This result can be determined using the appropriate technological tool. We would get:

Therefore, the value of the expression is 1.16.

Answer:

17x+7y+10

Step-by-step explanation:

y+4+3(y+2)

you have to multiply 3 by the numbers/variables in the parenthesis

y+4+3y+5

Do the same to the other equation

5x+3(y+4x)

5x+3y+12x

Set an equation that will let you add their like terms.

y+4+3y+5+5x+3y+12x

I'm going to add like terms with the y

y+3y+3y = 7y

Now like terms with x

5x+12x = 17x

Now put them all as a single equation

17x+7y+10

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

Domain: -2≤ x ≤ 5

Range: -2 ≤ x ≤ 4

Step-by-step explanation:

Just do as it looks. It's supposed to be like this unless it is plotted points then it would be other numbers like -2, -1, 0, and so on. but the above is the usual answer since this is a shape. it could also be a line

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

32x+80

(32x+80)

16(2x+5)

The factorised expression is 16(2x + 5).

Highest common factor is the highest factor that is common to two or more numbers. The factors of a number are numbers that divide the original number evenly.

The factors of 32 and 80 = 1, 2, 4, 8, 16

Highest common factor = 16

To learn more about highest common factor, please check: https://brainly.com/question/26073850

Answer:

a(x - 3)(x - 2)

Step-by-step explanation:

\(a {x}^{2} - 5ax + 6a \\ \\ = a {x}^{2} - 3ax - 2ax + 6a \\ \\ = ax(x - 3) - 2a(x - 3) \\ \\ = (x - 3)(ax - 2a) \\ \\ = (x - 3)a(x - 2) \\ \\ = a(x - 3)(x - 2)\)