Determine the general solution of cos(x-30°) = 2 sin x.

Answer:

113 with a remainder of 3

Step-by-step explanation:

Students in one group is 45

Students in another group is 13

teacher separated her class of fifty-eight students into two groups

Number of groups =2

one group has 6 more than thrice as many students as the other group

Let one group has x students

another group has y students

x+ y = 58  . . . . . 1

x= 6+3y  

Substitute x= 6+3y   in  . . . 1

6+3y +y = 58

4y=52

y=13

x=6+3y=6+3(13)

 = 6+39

 = 45

Students in one group is 45

Students in another group is 13

To learn more about groups visit  https://brainly.com/question/7319050

#SPJ9

Answer:

Step-by-step explanation:

im not sure but yea

Answer:

[tex]10 + 1i[/tex]

Step-by-step explanation:

[tex]i = \sqrt{-1}[/tex]

[tex]\sqrt{-100} = \sqrt{100} * \sqrt{-1}[/tex]

[tex]\sqrt{-100} = 10 + 1i[/tex]

Answer:

4

Step-by-step explanation:

2+2=4 dummy

Situation (B) best describes how a baseball player travels a total distance of zero meters from his starting point, that is, the player runs 3 meters forward and then 3 meters in the opposite direction.

According to the options:

Therefore, situation (B) best describes that the total distance a baseball player travels is zero meters from his starting point that is, the player runs 3 meters forward and then runs 3 meters in the opposite direction.

Know more about distance here:

https://brainly.com/question/2854969

#SPJ9

The complete question is given below:
Which of the following describes a situation in which the total distance a baseball player travels is 0 meters from his starting point? (5 points)

a) The player runs 4 meters forward and then runs 3 meters in the opposite direction.

b) The player runs 3 meters forward and then runs 3 meters in the opposite direction.

c) The player runs 3 meters forward and then runs 4 meters in the opposite direction.

d) The player runs 3 meters forward and then runs 0 meters in the opposite direction.

Step-by-step explanation:

chlorine cl when combines with sodium na

Nacl will form so chlorine

Answer:

The quotient of 24 and d would be [tex]\frac{24}{d}[/tex]

Step-by-step explanation:

Quotient is the answer of a division problem. So, you would divide 24 by d.

Answer:

Step-by-step explanation:

It would most likely be 0, but I am not sure.

Answer:

bkjjb.l kkllkk kk. lkm j. km j. kk. k mgdv. nutdc

Answer:

5°C

Step-by-step explanation:

(add 4 each hour)

9AM:-15°C

10AM:-11°C

11AM:-7°C

12AM:-3°C

1AM:1°C

2AM:5°C

Answer:

3.5cm

Step-by-step explanation:

Vol=πr²h

Transposing for h,=vol÷πr²

where r=22/2=11cm and taking π=3.142

h=1331/(3.142×(11)²)=3.5cm

Answer:

angle bisector

Step-by-step explanation:

the construction shows an angle bisector.

the line EG bisects ∠ FED

Given statement 'y is less than -2 ' in inequality notation would be, y < -2

In this question we have been given a statement 'y is less than -2'

We need to write given statement in inequality notation.

We know that, an inequality is a mathematical expression where two non-equal mathematical expressions or numbers are compared.

We know that we use '<' notation for less than.

Consider given statement:

y is less than -2.

⇒ y < -2

Therefore, given statement 'y is less than -2 ' in inequality notation would be, y < -2

Learn more about an inequality here;

https://brainly.com/question/19003099

#SPJ1

The number of months when they will be equal is 45 months.

The equation for the first town will be:

= 42975 + 125x

The equation for the second town will be:

= 45225 + 175x

The number of months when the populations of the towns will be equal will be:

42975 - 125x = 45225 - 175x

- 125x + 175x = 45225 - 42975

50x = 2250

x = 2250 / 50

x = 45

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Here are the missing amounts :

A = $2100

B = $300

C =  $50

D =  $270

E = $945

F = $1,345

Receipts represents income to the company. It is a source of cash inflow. Expenses represents cash outflow. Net cash flow is the difference between receipts and expenses. Cumulate balance is the sum of the net cash flow of the previous periods and the net cash flow of the present period.

A = Net cash flow + expenses

1975 + 125 = 2100

B = Receipts - expense

$2225 - $1925 = $300

C =  Receipts - expense

$2050 - $2000 = $50

D = Net cash flow = $270

E = cumulative balance in April + net cash flow in May

$570 + $375 = $945

F = = cumulative balance in July + net cash flow in August

$1120 + $225 = $1,345

To learn more about expenses, please check: https://brainly.com/question/14514813

#SPJ1

Answer:1.3

Step-by-step explanation:

33/22=1.32

Round to nearest 10th

1.32=1.3

If x = 5.764764764…, then 1000x = 5764.764764764…, so that

1000x - x = 5764.764764764… - 5.764764764…

999x = 5759

x = 5759/999

Yes it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .

what is distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding or substracting the results together .like in subtraction  A(B-C)= AB-AC

In other words, an equation of the type A (B+C) can be solved as A (B+C) AB+AC in accordance with the distributive property.

This characteristic also holds for subtraction.

5 x 328

= 5(300+28)

= 5 x 300 + 5 x 28

= 1500 + 140

= 1640

Hence, it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .

learn more about of distribution here

https://brainly.com/question/28743121

#SPJ4

Answer:

3

Step-by-step explanation:

Point p was on -1, 2

Point p' was on -3, 6

IF you divde p' by p you get 3, so the dialation is 3.

The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).

Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:

y - k = C · (x - h)²

Where:

By direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:

C = (y - k) / (x - h)²

C = (0 + 8) / (4 - 2)²

C = 8 / 4

C = 2

Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:

y + 8 = 2 · (x - 2)²

y = 2 · (x - 2)² - 8

y = 2 · (x² - 4 · x + 4) - 8

y = 2 · x² - 8 · x + 8 - 8

y = 2 · x² - 8 · x

y = 2 · x · (x - 4)

The factored form of the equation of the parabola is y = 2 · x · (x - 4).

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

Answer:

1 + 1 = 2 a i esta la respjesta

Step-by-step explanation:jijiji

Answer:

3 to the power of 3

Step-by-step explanation:

Answer:

1. 8x

2.4x^2

3.3^x

Step-by-step explanation:

I took the test

This is an example of an experimental study since the researcher chose who would get medicine and who would receive a placebo.

a quantitative research technique that controls other pertinent variables while observing the effects of changes in the study's key variables The Impact of Product Modularity on Supplier Integration: A Multi-Objective Approach2 provides further information. In experimental research, participants are randomly divided into distinct groups (such as experimental and control groups) in order to ascertain the causal relationship between a given condition (an independent variable) and a certain outcome (dependent variable).An illustration of an experimental research on the subject would be to assign people at random to either spend 10 minutes on their  page as the experimental treatment, or spend the same amount of time on other websites (control group).

To know more about Experimental Study, visit;

https://brainly.com/question/14571388?referrer=searchResults

#SPJ4

Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

34 millimeter