The transformation (x,y) -> (y,-x) is what degree rotation for a counter-clockwise turn?

The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.

To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:

Start by subtracting 3/4 from both sides of the equation:

(3/4) - (1/2)n - 3/4 = 5/8 - 3/4

Simplifying, we have:

(1/2)n = 5/8 - 6/8

Combine the fractions on the right-hand side:

(1/2)n = -1/8

To eliminate the fraction coefficient, multiply both sides by -2:

(-2)(-1/2)n = (-2)(-1/8)

This gives us:

n = 2/8

Simplify the right-hand side:

n = 1/4

Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.

It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.

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Answer:

15−2(3−2x)=46

Step-by-step explanation:

15−2(3−2x)=46

Answer:

C. 47 less than 28

Step-by-step explanation:

A. 47 take away 28

Equivalent to counting 47 and taking away 28

= 47 - 28

= 19

B. 47 minus 28

Simply

47 - 28

= 19

C. 47 less than 28

47 < 28

The less than sign is <

D. 47 subtract 28

= 47 - 28

= 19

Answer:47 less than 28

Step-by-step explanation:the rest are subtracting 28 from 47 , 47 less than 28 is subtracting 47 from 28.

Answer:

360

Step-by-step explanation:

Given that Amir wants to create a 4-digit password for his phone.

He wants to choose 4 different numbers between 1 and 5 inclusive.

The total number of 4-digit passwords that Amir can create will be achieved by using permutation

6P4 = 6!/ ( 6 - 4)!

6P4 = (6 × 5 × 4 × 3 × 2!)/2!

6P4 = 6×5×4×3 = 360

Therefore, the total number of 4-digit passwords that Amir can create is 360 different passwords.

Answer:

See below!

Step-by-step explanation:

1. 5g + h = g

4g = -h

g = [tex]-\frac{h}{4}[/tex]

2. y = mx + b

y - b = mx

m = [tex]\frac{y - b}{x}[/tex]

3. 3y + z = am - 4y

7y = am - z

y = [tex]\frac{am - z}{7}[/tex]

4. km + 5x = 6y

km = 6y - 5x

m = [tex]\frac{6y - 5x}{k}[/tex]

5. [tex]\frac{3ax - n}{5} = -4[/tex]

3ax - n = -20

3ax = n - 20

x = [tex]\frac{n-20}{3a}[/tex]

6. [tex]\frac{by+2}{3}= c[/tex]

by + 2 = 3c

by = 3c - 2

y = [tex]\frac{3c-2}{b}[/tex]

7. at + b = ar - c

at - ar = -b - c

a(t - r) = -(b + c)

a = [tex]-\frac{b+c}{t-r}[/tex]

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x+2=9x-1[/tex]

Subtract 6x from both sides:

[tex](6x+2)-6x=(9x-1)-6x\\2=3x-1[/tex]

Add 1 to both sides:

[tex](2)+1=(3x-1)+1\\3=3x[/tex]

Divide both sides by 3:

[tex](3)/3=(3x)/3\\x=1[/tex]

So, the value of x is 1 :)

P.S. Welcome to Brainly!

Answer:

There was a Horizontal translation left b units and then Vertical stretch or compression

Step-by-step explanation:

Given : [tex]g(x) = a f(x + b)[/tex]

We are supposed to show the transformation

Rule : f(x)→f(x+c)

Horizontal translation left c units

So, f(x+b) is the Horizontal translation left b units

Rule : f(x)→cf(x)

Vertical stretch or compression

So,[tex]g(x) = a f(x + b)[/tex]

So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression

Answer:

-2f(x+4), A

Step-by-step explanation:

Vertically stretch the function by 2, flip it over the x-axis and add 4 to shift right

(The explaination might be BS but the answer is 100% correct, took the quiz)

Answer:

0

Step-by-step explanation:

Slope is -7--7/1--4

=0/5

=0

Slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

"Slope of a line is defined as the ratio of change in y-coordinates to the change in x-coordinates."

Formula used

Slope = ( y₂ - y₁) / (x₂ - x₁)

According to the question,

Line passing through two points (-4, -7) and ( 1, -7)

x₁ and x₂ are x- coordinates on the line.

y₁ and y₂ are the y-coordinates on the line.

Here,

( x₁ , y₁ ) = ( -4, -7)

(x₂ , y₂) = ( 1 , -7)

Substitute the given value in the formula we get,

Slope = [ -7 -(-7)] / [ 1 - (-4)]

         = (-7 +7) / ( 1 +4)

         = 0 / 5

         = 0  

Hence, slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

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Answer:

The two possible distances from Ship A to the distress call boat are 64.4 km and 147.5 km

Step-by-step explanation:

The given parameters are;

The distance between Ship A and Ship B = 120 km

The distance of the distress call from Ship B = 70 km

The angle made between the line from Ship A to B and the line from Ship A to the distress call = 28° = Opposite angle to the line from the location of the distress caller to Ship B

Therefore;

70/(sin(28°)) = 120/(sin(x))

Where;

x = The angle opposite the line from Ship A to B

sin(x) = ((sin(28°))×120)/70 = 0.805

x = sin⁻¹(0.805) = 53.59°

Therefore, the angle opposite the line from Ship A to the distress caller, r = 180 - (28 + 53.59) = 98.4°

From sin rule, we have;

70/(sin(28°)) = r/(sin(98.4°))

r = (70/(sin(28°)))×(sin(98.4°)) = 147.5

However by cosine rule, we have;

70² = 120² + r² - 2×120×r × cos(28°)

4,900 = 14,400 + r² - 211.907·r

r² - 211.907·r + 14,400 - 4,900 = 0

r² - 211.907·r + 9,500 = 0

Factorizing, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]r = \dfrac{211.907\pm \sqrt{211.907^{2}-4\times 1\times 9,500}}{2\times 1}[/tex]

r = 64.406 km or 147.501 km

Which gives;

The distance of the line from Ship A to the distress caller =  64.4 km or 147.5 km to the nearest tenth.

The two possible distances from Ship A to the distress call boat = 64.4 km and 147.5 km

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

Answer:

  see below

Step-by-step explanation:

For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...

  g(x) = b·f(x -h) +k

For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...

  g(x) = (1/2)f(x +3) -2

  g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Start at 1 1/3

Add the negative number;

1 1/3 + (-5/6)

Here Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Now Move 2/3 to the left;

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left;

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

Thus 1 1/3+(−5/6) = 3/6 = 1/2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

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Answer:

3285

Step-by-step explanation:

5x3144=15720

3990

15720+3990=19710

19710/6=3285

Answer:

V = Vab from the drawing.

So if V = –10 volts, then Vab = –10v and Vba = +10v

"the figure is the same in the link below except that the voltage is from a to b" but the drawing shows that V = Vab

Hoped I helped

Answer: the answer is A 0.81

Answer:

n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.

Therefore together they can paint 1/4+1/3 = 7/12 of wall

Therefore they can paint entire wall in 12/7 hours

Step-by-step explanation:

you ' re welcome grandma loves youu ! < 33 ; )

mark meee branliest pleaseeee ; )

Answer:

True.

Step-by-step explanation:

The sum of two rational numbers is rational.

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rational numbers produces another rational number.

Answer:

One segment is 8.89 long and the other one is: 11.11 long

Step-by-step explanation:

Recall that the bisector of a triangle divides the opposite side it intersects into two segments that are proportional to the other two sides of the triangle.

In our case the bisector is generated on the angle opposite to the size 20 side (it is the smallest angle in the triangle since it is opposite to the smallest side). This bisector divides the side of length 20 into a segment of length x and a segment of length 20-x.

The proportionality indicated by the bisector theorem gives;

[tex]\frac{20-x}{x} =\frac{30}{24}[/tex]

and we can solve for "x":

[tex]\frac{20-x}{x} =\frac{30}{24}\\24\,(20-x)=30\,x\\480-24\,x=30\,x\\480=54\,x\\x=480/54\\x\approx8.89[/tex]

Then the other segment is:  20 - 8.89 = 11.11

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

I hope this helps you

5u+5-5u=u+8

5-8=u

u=-3

Answer:

Sola has n-3 eggs

Step-by-step explanation:

Tunde = n

Tunde has 3 more = Sola has 3 less than tunde

= Tunde - 3

= n - 3

Answer:

[tex]\frac{1}{221}[/tex]

Step-by-step explanation:

We have to note that there are 4 kings in a deck of 52 cards.

This makes the probability of choosing a king the first time [tex]\frac{4}{52} = \frac{1}{13}[/tex].

We now know that we can choose another king from the deck, but it's important to note that it's not a [tex]\frac{1}{13}[/tex] chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is [tex]\frac{3}{51} = \frac{1}{17}[/tex].

To find the probability of doing both these, we need to multiply the fractions.

[tex]\frac{1}{13}\cdot\frac{1}{17}=\frac{1}{221}[/tex]

Hope this helped!

Answer:

8/5

Step-by-step explanation:

Answer:

[tex]-J \leq J[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

Since the question has to do with negation, I'll assume it's an additive inverse

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

[tex]-J \leq +J[/tex]

Solving further, it gives

[tex]-J \leq J[/tex]

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

First, put the equation into slope intercept form.

Slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 6x from both sides:

3y + 6x (-6x) = 18 (-6x)

3y = -6x + 18

Next, divide 3 from both sides. Remember to divide from all terms:

(3y)/3 =  (-6x + 18)/3

y = (-6x)/3 + (18)/3

y = -2x + 6

Slope-intercept form: y = -2x + 6

Again, note the slope-intercept form.

> Slope-intercept form: y = mx + b

The variables:

y = (x ,y)

m = slope

x = (x , y)

b = y-intercept

Your answers:

slope: -2

y-intercept: 6

Answer:

The answer to the equation is 1.

Step-by-step explanation:

When having an algebraic equation, you have to move all of the variables on one side. Therefore, you can move the -2x or the 7x. However, to make a positive number, I would recommend to move the -2x.

To move the -2x to the other side, you add 2x to the both sides of the equation. Since the original equation is 9-2x=7x, you will add the 2x to it, so your equation will now look like this: 9-2x+2x=7x+2x. Once simplifying that down, you will have 9=9x. Then, you can divide the coefficient, so the 9 on the left side, and the 9 on the right side. After this, you will have 1=x. AKA x=1, which is the answer to the equation!

The solution to the equation 9 - 2x = 7x is x = 1 as per the algebraic operations.

To solve the equation 9 - 2x = 7x for x, we need to isolate the variable on one side of the equation. Here's the step-by-step process:

Start by combining like terms. Add 2x to both sides of the equation to move the variable terms to one side:

9 - 2x + 2x = 7x + 2x

9 = 9x

Divide both sides of the equation by 9 to isolate x:

9/9 = 9x/9

1 = x

Therefore, the solution to the equation 9 - 2x = 7x is x = 1.

By performing the necessary algebraic operations, we found that x is equal to 1. This value satisfies the original equation, making it the solution. It's important to check the solution by substituting x = 1 back into the original equation to ensure that it holds true. In this case, when we substitute x = 1 into the equation, we have 9 - 2(1) = 7(1), which simplifies to 7 = 7, confirming that x = 1 is indeed the correct solution.

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