4x≤12= I don't understand​

Answer:

1) cos (140°-(50°+30°)) = 1/2

2)  [tex]sin255^{\circ}=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

3)  [tex]cos150^{\circ}=-\frac{ \sqrt{3} }{2}[/tex]

4) ,  [tex]tan 240^{\circ}=\sqrt{3}[/tex]

Step-by-step explanation:

1) cos (140°-(50°+30°))

Solving:

cos (140°-(50°+30°))

=cos(140°-80°)

=cos(60°)

=1/2

So, cos (140°-(50°+30°)) = 1/2

2) sin 255°

We can write sin 255° as sin(180°+75°)

Solving sing formula sin(a+b)=sin(a)cos(y)+cos(x)sin(y)

[tex]sin(180^{\circ}+75^{\circ})\\=sin(180^{\circ})cos(75^{\circ})+cos(180^{\circ})sin(75^{\circ})\\=0(cos(75^{\circ}))+(-1)(\frac{\sqrt{2}+\sqrt{6} }{\sqrt{4} } )\\=0+(-1)(\frac{\sqrt{2}+\sqrt{6} }{\sqrt{4} } )\\\=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

So, [tex]sin255^{\circ}=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

3) cos 150°

We can solve this using the identity: cos(x)=sin(90°-x)

Solving:

cos 150°= sin(90°-150°)

=sin(-60°)

We know sin(-x)=-sin(x)

=-sin(60°)

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

So, we get [tex]cos150^{\circ}=-\frac{ \sqrt{3} }{2}[/tex]

4) tan 240°

We know tan(180°+x)=tan(x)

tan 240° can be written as tan(180°+60°)

Using the above identity:

tan(180°+60°)=tan(60°) = [tex]\sqrt{3}[/tex]

So,  [tex]tan 240^{\circ}=\sqrt{3}[/tex]

Answer:

here ya go

Step-by-step explanation:

Answer:

90 i think if i did the math correct

Step-by-step explanation:

Answer:

90 inches

Step-by-step explanation:

12" in a foot so in order to convert 3' to inches after Walt apply it by 12. once you have that just the formula to find the perimeter.

3 × 12 = 36

the perimeter formula is: 2L + 2W = P

36 × 2 = 72 9 × 2 = 18

72 + 18 = 90

your answer should be 90 inches.

Answer:

Step-by-step explanation:

25

Answer:

omg! mine is Kabal tooo

Step-by-step explanation: i love mortal combat lol

Answer:

Scorpion

I am a normie yes I know

Leave me alone

Step-by-step explanation:

Answer:

6.4 laps

Step-by-step explanation:

I need to see the other expressions

Answer:

9

Step-by-step explanation:

53/6 = 8 R5

One of the groups will have only 5 students because you can only have whole students, not parts of a student.

Answer:

Step-by-step explanation:

53/6= 8 5/6

The first 6 groups will have 8 students with 5 students remaining. They can have 5 groups with 9 students and 1 with 8 students

Answer:

So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.

Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).

Step-by-step explanation:

Using all this info, these are our two equations:

X+Y=10000

1.04x+1.06=10470

Next, substitute x in the second equation for (10000 - y) and solve for y as such:

1.04(10000-y) +1.06y =10470

10400 - 1.04y + 1.60y = 10470

10400 + 0.02y = 10470

0.02y =70

y = 3500

Now that we have the value of y, substitute it into either equation to solve for x:

x + 3500 = 10000

x= 6500

1.04x + 1.06(3500)= 10470

1.04x = 6500

Answer

In short:

$6,500 was invested in the 4% rate

$3,500 was invested in the 6% rate

Answer:

Step-by-step explanation:

x^4(x^3) is x^7 (when multiplying two same variables with exponents you just add the exponents)

(x^4)/(x^3) is x^1 or just x (when dividing two same variables with exponents you just subtract the exponents)

I'll try! What's the link?

Answer:

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Answer:you got this:)

Step-by-step explanation:

Answer:

26,800

Step-by-step explanation:

Im not sure but thats what I got

Answer:

$0.405

I just took the test.

Answer:

1. Slope: [tex]m = \frac{4}{3}[/tex]

2. Distance: [tex]AB = 10[/tex]

3.  Midpoint: [tex]M = (5,7)[/tex]

4. Slope of perpendicular line: [tex]m_2 = -\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]A = (2,3)[/tex]

[tex]B = (8,11)[/tex]

Solving (1): Slope of AB

Slope (m) is calculated as follows:

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

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{11 - 3}{8 - 2}[/tex]

[tex]m = \frac{8}{6}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (2): Length AB

This is solved by calculating the distance of AB using the following formula.

[tex]AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]AB = \sqrt{(2-8)^2 + (3 - 11)^2}[/tex]

[tex]AB = \sqrt{(-6)^2 + (-8)^2}[/tex]

[tex]AB = \sqrt{36 + 64}[/tex]

[tex]AB = \sqrt{100}[/tex]

[tex]AB = 10[/tex]

Solving (3): Midpoint of AB.

Midpoint, M is calculated as follows:

[tex]M = \frac{1}{2}(x_1+x_2, y_1 + y_2)[/tex]

Where

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]M = \frac{1}{2}(2+8,3+11)[/tex]

[tex]M = \frac{1}{2}(10,14)[/tex]

[tex]M = (5,7)[/tex]

Solving (4): Slope of line perpendicular to AB

The relationship between the slopes of two perpendicular lines is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1[/tex] represents the slope of AB

[tex]m_1 = \frac{4}{3}[/tex]

So:

[tex]m_2 = -1/\frac{4}{3}[/tex]

[tex]m_2 = -1*\frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - 4 = 3(x - (-2))

y - 4 = 3(x + 2)

Answer:

(1, 35) means that $35 is the cost per hour of hiring a face painter.

Step-by-step explanation:

Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.

One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:

slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1

Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).

So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."

Answer: $2.40

Step-by-step explanation:

$60.00 x .04 = $2.40

Answer:

2.40

Step-by-step explanation:

4% of 60.00 is 2.40

Answer:

Peyton's account will have $13,842.18 after a year.

Step-by-step explanation:

Given that Peyton received $ 12,700 and decided to invest it for a year in an account that grants an interest of 8.8% per year, compounded semiannually, to determine the amount of money that will be in said account after the passage of one year, it is necessary to perform the following calculation:

X = 12,700 (1 + 0.088 / 2) ^ 1x2

X = 13,842.18

Therefore, after a year has passed, Peyton's account will be $ 13,842.18.

Answer:

100 litres

Step-by-step explanation:

Answer:

It is 100 liters

Step-by-step explanation:

I hope it helps lol

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

Answer:

i think is 167

Step-by-step explanation:

Answer:

2. A 4√3

3. B -5/3

Step-by-step explanation:

Answer:

450/3

Step-by-step explanation:

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

Answer:

C

Step-by-step explanation:

2x - 1 = 7

2*4=8

8-1=7

Answer:

C

Step-by-step explanation:

2x-1= 7

add 1 one on both sides

2x = 8

divide both sides by 2

x=4

Answer:

If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:

C(t) = X*e^(-r*t)

Now, we know that:

We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)

And we have 3000 grams of substance B, with a decay constant of 0.05.

Then the equations for both of them will be:

Ca = 2000g*e^(-0.03*t)

Cb = 3000g*e^(-0.05*t)

Where t is in years.

We want to find the value of t such that Ca = Cb.

So we need to solve:

2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)

e^(-0.03*t) = (3/2)e^(-0.05*t)

e^(-0.03*t)/e^(-0.05*t) = 3/2

e^(t*(0.05 - 0.03))  = 3/2

e^(t*0.02) = 3/2

Now we can apply Ln(x) to both sides, and get:

Ln(e^(t*0.02)) = Ln(3/2)

t*0.02 = Ln(3/2)

t = Ln(3/2)/0.02 = 20.3

Then after 20.3 years, both substances will have the same mass.

Answer:

There are NO wholes in 1/8.

If it were 8/8, then it would be equal to 1 whole. Since it is only 1/8, there is non wholes.

Answer:

Step-by-step explanation:

8 fluid ounces in one cup

16 fluid ounces in a pint

2 feeders of 6 fluid ounces each

8 plus 16 plus 12

36, D

Answer:

1/20÷950

Step-by-step explanation:

hope this helps!

Answer:

the first one

Step-by-step explanation: