Pulling a red card from a deck of cards, replacing it, and then pulling a king

Answer: A reflection about the y-axis and a clockwise rotation of 90° around the origin.

another example is:

A counterclockwise rotation of 90° around the origin, and then a reflection about the y-axis.

Step-by-step explanation:

Let's do this for a single point because it is essentially the same.

Let's use the point (3, -2)

First, we have a reflection across the x-axis, this only changes the sign of the y-component.

Then the new point will be: (3, -(-2)) = (3, 2)

Notice that this point is on the first quadrant.

Now we do a 90° counterclockwise rotation.

Then we move to the second quadrant, and we change the order of the components in the point (and because we are in the second quadrant, the x-component is negative and the y-component is positive)

Then the new point is (-2, 3)

Now, another transformation that is equivalent to this one is to do first a reflection about the y-axis, so we only change the sign of the y-component

Then the new point is (-3, -2)

And now we are in the third quadrant.

and then we do a rotation of 90° clockwise, which moves our point to the second quadrant, changes the order of the components and leaves the y-component positive and the x-component negative, then the new point is:

(-2, 3)

Same as before.

(notice that we used the same transformations, but applied to different line and direction of rotation)

Another example is if we first start with a counterclockwise rotation of 90° around the origin, the original point (3, -2) is on the fourth quadrant, so this rotation leaves our point in the first quadrant, so we change the order of the components and both of them will have a positive sign.

The new point is: (2, 3)

Now let's do a reflection about the y-axis, which changes the sign of the x-component.

Then the final point is (-2, 3), same as before.

And there are a lot of other transformations that will be equivalent to this ones, these are just two examples.

Answer:

x=10

Step-by-step explanation:

Well know that the 6x+1 angle plus the 29 degree angle are eqail to 90 degrees becasue that red square means that that whole angle is equal to 90 degrees. Now we can make a equation to represent this:

6x+1+29=90

6x+1=61

6x=60

X=10!

Answer:

-x^5 + 7x⁴ + 8x² - 9x - 5

Step-by-step explanation:

For the question given:

Rocks traded, sold or given away are denoted by negative values, '-' while rocks bought or purchased are diniywd as positive, '+'

Starting = 8x² ;

Purchase = + 7x⁴ ;

Trades = - x^5

Gives away = - 9x

Sells = - 5

The number of rocks Emily now has :

8x² + 7x⁴ - x^5 - 9x - 5

In standard form:

Arrange in order of power :

-x^5 + 7x⁴ + 8x² - 9x - 5

Answer:

13.8 ounces of salt

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Step 1

Note that:

1 shaker = 0.6 ounces of salt

8 shakers = x

Cross Multiply

x = 8 × 0.6 ounces of salt

x = 4.8 ounces of salt

Step 2

The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

This is calculated as:

18.6 ounces of salt - 4.8 ounces of salt

= 13.8 ounces of salt

Answer:

no. they are not. add up the angles on each triangle to find x, if the angles are not exactly the same, then they are not similar

Answer:

3. 261 ft³

Step-by-step explanation:

Volume of the figure = ½(volume of cylinder) + volume of triangular prism)

✔️Volume of cylinder = πr²h

r = 3 ft

h = 10 ft

Volume of cylinder = π*3²*10 = 282.74 ft³

✔️Volume of right triangular prism = ½*b*h*l

b = 3*2 = 6 ft

h = 4 ft

l = 10 ft

Volume of triangular prism = ½*6*4*10 = 120 ft³

✔️Plug in the values into the equation:

Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³

AB is congruent to AC that is ur Answer

Answer:

The jumping dolphin --  changes

The flying seagull -- same

The octopus --  same

Step-by-step explanation:

The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :

The jumping dolphin :

As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.

The flying seagull :

The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface

The octopus :

The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.

Answer:

T = 162 minutes

Step-by-step explanation:

Given that,

Jill can run 5 miles in 45 minutes.

We need to find how long will it take her to run 18 miles.

[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]

So,

18 miles = (18×9) minutes

= 162 minutes

Hence, 162 minutes will be taken by her to run 162 minutes.

Answer:

480

Step-by-step explanation:

30x12= 360

360+120=480

Answer:

f(x)=(3x+6)(x-2)

Step-by-step explanation:

(3x+6)

(x-2)

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

y = 1 (2)x

2 hopefully this helped.

Answer:

y=3(4) x

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:

A   0   1       2      3

B   0   1.5    3     4.5

Step-by-step explanation:

complementary angle is 90 degrees

so angle t and s are complementary

measure of angle t is 72 degrees

so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees

so measure of angle s is 18 degrees

angle r and angle s are supplement which means their sum is 180 degrees

so measure of angle r will be 180 minus 18 which gives 162

so measure of angle r is 162 degrees

we need to find measure.of angle r minus measure.of angle s

so 162 minus 18 which gives 14r

Answer:

is is on the x acsess 2 and go down to -3. Hope this helped!

Step-by-step explanation:

Go to the x acsessw and go to 2 go down to -3 and mark

9514 1404 393

Answer:

  no real solutions; k = ±i(2/3)√15

Step-by-step explanation:

If k is one of the roots, then substituting it for x will satisfy the equation:

  k -4k -20/k = 0

Multiplying by k gives ...

  -3k^2 -20 = 0

  k^2 = -20/3 = -6 2/3

There are no real values of k such that this is true.

__

If we allow k to be imaginary, then ...

  k = ±i√(20/3) = ±i(2/3)√15

Possible imaginary values of k are ±(2/3)√15.

Answer:

Step-by-step explanation:

Because midpoints were used to make similar triangles we can say

AC=2(DE)

5x+12=2(9x-20)

5x+12=18x-40

-13x+12=-40

-13x=-52

x=4

AC=5x+12

AC=5(4)+12

AC=20+12

AC=32

Answer:

Step-by-step explanation:

DE = (1/2) * AC           {Midpoint theorem}

[tex]9x - 20 =\frac{1}{2}(5x + 12)[/tex]

2(9x - 20) = 5x  + 12

2*9x - 2*20 = 5x + 12

18x - 40 = 5x + 12

18x -5x - 40 = 12

   13x  - 40  = 12

           13x  = 12+40

           13x  = 52

             x  = 52/13

            x = 4

AC = 5x + 12

     = 5*4 + 12

     = 20 +12

AC = 32

Yes, that is a correct statement.

But im left wondering what is the darn question

Answer:

Angle number 5 is adjacent to angle psl

Answer:

your answer will be 1

Step-by-step explanation:

[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]

hope it helps

Answer:

= 5 Percent

Step-by-step explanation:

Answer:

If you wanted to simplify the equation:

9y - 30 = 6

If you wanted to solve for y:

y = 4

Step-by-step explanation:

3(3y - 10) = 6

9y - 30 = 6

Add 30 to both sides of the equation:

9y - 30 + 30 = 6 + 30

Simplify:

9y = 6 + 30

9y = 36

Divide both sides of the equation by 9:

9y ÷ 9 = 36 ÷ 9

Cancel terms that are in both the numerator and denominator:

y = 36 ÷ 9

y = 4

Answer:

[tex]25=6t+4.5h[/tex]

2 pounds of ham

Step-by-step explanation:

1) Construct an equation

Let [tex]t[/tex] be equal to the number of pounds of turkey.

Let [tex]h[/tex] be equal to the number of pounds of ham.

We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is [tex]6t[/tex].

We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is [tex]4.5h[/tex].

However, because 25 dollars is her budget, [tex]6t[/tex] and [tex]4.5h[/tex] must be equal to 25.

[tex]25=6t+4.5h[/tex]

2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?

[tex]25=6t+4.5h[/tex]

Plug in 2.5 as [tex]t[/tex]

[tex]25=6(2.5)+4.5h\\25=15+4.5h[/tex]

Subtract both sides by 15

[tex]25-15=15+4.5h-15\\10=4.5h[/tex]

Divide both sides by 4.5

[tex]\frac{10}{4.5}=\frac{4.5h}{4.5} \\2.22=h[/tex]

Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.

I hope this helps!

Answer:

6x + 4.5y ≤ 25

If Lucy bought 2.5 pounds of turkey, she can buy at most 2.22 pounds of ham.

Step-by-step explanation:

6(2.5) + 4.5y ≤ 25

15 + 4.5y ≤ 25

4.5y ≤ 10

y ≤ 2.22

A

Its the first equation.

Answer:

x+y-5=0

Step-by-step explanation:

An

Step-by-step explanation:

Answer:

Hope this helps you. Do mark me as brainliest.

The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

As it is given that 15% of the seniors in a large high school enter military

service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,

[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]

Now, the probability of 2 seniors out of 20 serving in the military will be,

[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]

Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

Answer:

is nirvana considered indie? idrk--- but i listen to that band and a lot of rock songs :)

Step-by-step explanation:

Answer:

B. the distributive property

Step-by-step explanation:

Distributive property can be used to expand the expression -2(3/4x+7).

When that property is used, we need to distrubute the monomial to the binomial which is the two terms.

[tex] - 2( \frac{3}{4} x + 7) \\ \Longrightarrow \boxed{- 2( \frac{3}{4} x) + - 2(7)} [/tex]

#BrainliestBunch

Answer:

 b

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2X + 12=13x - 2x + 5

2X + 12= 11x+5

2x-11x = 5-12

-9x = -7

X = 7/9

so the answer is NO