Write the conjugate of the following complex
number:
-3 + 2i

Answer:x>73.5

-

Inequality: 6x + 313> 754

-

Step-by-step explanation:

The number of sets of spoons Mila could buy for the restaurant to have enough spoons:

x ≥ 74

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Let x be the number of sets of spoons Mila buys. Each set contains 6 spoons, so the total number of spoons Mila will buy is 6x.

The restaurant needs at least 754 spoons, and there are currently 313 spoons, so the total number of spoons needed is:

754 - 313 = 441

we can write the inequality:

6x ≥ 441

To solve for x, we can divide both sides of the inequality by 6:

x ≥ 73.5

x ≥ 74

Therefore, Mila needs to buy at least 74 sets of spoons to ensure that the restaurant has enough spoons.

To know more about inequalities check:

https://brainly.com/question/28823603

#SPJ3

Answer:

Can anyone check out my page and answer my question??

Step-by-step explanation:

.

The area of the given model is 4/6 square yards.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

From the given figure, length of a rectangle is 4/3 yards and the width is 1/2  yards.

Here, area of a model is 4/3 × 1/2

= 4/6 square yards

Therefore, the area of the given model is 4/6 square yards.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

Answer:

b. 350,000 to 450,00

Step-by-step explanation:

Answer:

un

Step-by-step explanation:

Answer:

For each point on the curve given, make a new point that has the same x value but double the y value.

Step-by-step explanation:

Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.

Answer:

you need 5 buses and 4 will be totally full and one will only be 1/3 full

or you can have 14% of all 5 buses with empty seats

Step-by-step explanation:

Answer:

x=6

AC = 28

Step-by-step explanation:

4x+4= AC

4x +4 = 14 + 3x -4

4x-3x= 14-4-4

x = 6

AC = 4(6) +4 = 24+4 = 28

Answer:

Step-by-step explanation:

Answer:

a horizontal translation 3 units to the right because-3 has been added to the exponent

Answer:

Answers are a. 8, b. 10, c. -2, d. invalid

Step-by-step explanation:

a.

[tex]f(x)=|x|\\So, f(8)=|8|=8\,;[Modulus\,\,is\,\,always\,\,the\,\,positive\,\,value][/tex]

b.

[tex]f(x)=3^x+1\\f(2)=3^2+1=9+1=10[/tex]

c.

[tex]f(k)=\frac{k}{2}+1\\f(-6)=\frac{-6}{2}+1=-3+1=-2[/tex]

d.

[tex]f(x)=\sqrt{x-5} \\f(3)=\sqrt{3-5}=\sqrt{-2}\\There\,\,is\,\,no\,\,real\,\,solution\,\,for\,\,root\,\,of\,\,a\,\,negative\,\,number[/tex]

Hope you have understood this.....  

ask me if you have any confusion.....  

if you liked it pls mark it as the brainliest

Answer:

Write in the box :....

30

Answer:

Step-by-step explanation:

Answer:

The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest

Step-by-step explanation:

Answer:

14 items

Step-by-step explanation:

20 seconds minus the six it takes to process purchase is 14 and if i takes 1 second to scan each item 14 times 1 is 14

Answer:

14

Step-by-step explanation:

to process payment = 6 sec

each item = 1 sec

total = 20 sec

From this information, we can formulate an equation where x = number of items being purchased.

[tex]6+1(x) = 20[/tex]

[tex]x=20-6\\x=14[/tex]

Answer:

your right it is a rational number

Answer:

I think answer id B.and this will right you make me brillent student

The acceleration will be 2.1 meters per second. The correct option is A.

Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.

Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.

The acceleration will be calculated as below:-

Acceleration = Velocity / Time

Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s

Acceleration = Velocity / Time

Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²

Therefore, the acceleration will be 2.1 meters per second. The correct option is A.

To know more about acceleration follow

brainly.com/question/460763

#SPJ2

Answer:

8x  = 39.62 - 6.74

Step-by-step explanation:

Cost of 1 bag of lemons = $ x

Cost of 8 bags of lemons = 8 *x = 8x

Cost of 8 bags of lemons = Total cost - cost of the eggs

                              8x           = 39.62 - 6.74

Answer:

3.

Step-by-step explanation:

[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]

Answer:

4/5 ....

Step-by-step explanation:

N/1 = N

so... um...

4/5 = N/1

4/5 = N

N = 4/5

Answer:

N = 0.8

Step-by-step explanation:

4/5 = N/1

0.8/1 = N/1

0.8 = N

Answer:

you dont have enough information

Step-by-step explanation:

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

Answer:

p = (2k + 1)i + j

q = 25i + (k + 4)j

p . q = 11

Find the dot product of p and q

(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

k = - 18/51 = –6/17.✅

b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424

q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

q = 25i + 62/17 j

|q| = √ 25² + (62/17)²

= 25.2646

Now applying them to the formula above

We already have p.q = 11 from the question.

11 = (1.0424)(25.2646)Cos∅

11 = 26.3358Cos∅

Cos∅ = 11/26.3358

Cos∅ = 0.4177

∅ = 65.31°.

This should be it.

Hope it helps

Answer:

4 is the correct answer.

Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.

We can then multiply each term of the equation by 4 to eliminate the fractions.

So, multiplying both sides of the equation by 4, we get:

-3m - 2m = 8 + m

To simplifying, we have:

-5m = 8 + m

To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:

4m = 8

Finally, dividing both sides by 4, we get:

m = 2

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

Answer:

[tex] \sqrt{3 {x}^{2} {y}^{3} } \times 2 \sqrt{72 {x}^{3} {y}^{4} } \\ = 2 \sqrt{3 {x}^{2} {y}^{3} 72 {x}^{3} {y}^{4} } \\ = 2 \times 6 \sqrt{6} \times \sqrt{ {x}^{5} {y}^{7} } \\ 12 \sqrt{6} {x}^{2} {y}^{3} \sqrt{xy } \\ 12 {x}^{2} {y}^{3} \sqrt{6xy} \\ thank \: you[/tex]

12x^2y^2 -_/6xy

thats the answer you're looking for

Step-by-step explanation:

A=(4+3)²-2(-2)=7²+4=49+4=53

B=2(4)(3)-3(-2)=24+6=30

c=2(4)²-4(3)+(-2)=2(16)-12-2=32-14=18

Answer:

Cant do this problem since there is no x variable. So the answer would be :

f(x) = -22+2

Step-by-step explanation:

Answer:

.zie8fieiosowdue7fieid92iqopq o ofoo pdoc

I think this is a composition function material ¤¤

Sory this is my answer.

Answer:

Step-by-step explanation:

a year = 52 weeks

a year working hours = 45× 52 = 2340 hours

first job rate per hour = $51670 ÷ 2340 hours

= $22

sec job rate per hour = $26