Set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three. Set Y is made up of the possible ways five students can be formed into groups of three if student A must be in all possible groups. Which statements about the situation are true? Select three options.

I NEED THIS RIGHT AWAY
Set X has 10 possible groupings.
X Y
Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
If person E must be in each group, then there can be only one group.
There are three ways to form a group if persons A and C must be in it.

Answer:

Below in bold.

Step-by-step explanation:

cot = adjacent side / opposite side = 16/63

So the  hypotenuse = √(16^2 + 63^2)

= √4225

= 65.

So csc A = hypotenuse /opposite side

= 65/63

Answer:

Below.

Step-by-step explanation:

Temperature after 1 minute = 140 - 5(1)

Temperature after 2 minutes = 140 - 5(2)

Temperature after 3 minutes = 140 - 5(3),

- and so on.

So the function is

y = 140 - 5x.

The temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

A linear equation with one variable has the standard form Cx + D = 0. In this case, the variable is x and C are coefficient, while D is a constant.

Let the certain number of minute is x.

Since the temperature decreases at 5° F per minute, then after x minutes, it will decrease 5x.

Initial temperature = 140° F

Then the present temperature, y = 140 - 5x.

Therefore, the temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

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Answer:

∠ B = 45°, ∠ F = 22°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ E = 45°

∠ F = ∠ C = 22°

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

Answer:

B. 6 x 1/3 = 2

Step-by-step explanation:

2 is 1/3 of 6

So multiplying 6/1 (6) bu 1/3 :

6/1 * 1/3 = 6 / 3 = 2

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:250

Step-by-step explanation:

j+m=5

50(j+m)=50x5=250

Answer:

If you mean 5(j + m) and j + m = 5 then you answer is 6j + 6m = 5.

If you mean 50j + m and j + m = 5 then there is no solution.

Step-by-step explanation:

j + m = 5

5(j + m)

5(j + m) + j + m = 5

5j + 5m + j + m

6j + 6m = 5

Answer:

(-2, -4)

Step-by-step explanation:

y = f(x) = ax²+bx +c

given the vertex is (3, -4)

=> the symetry axis: x = 3

x = -b/2a = 3

so, -b = 6a => b = -6a

the function f(x) = x²-6x + 5

g(x) = f(x+5)

g(x) = (x+5)²-6(x+5)+5

g(x) = x²+10x+25-6x-30+5

g(x) = x²+4x

=> a=1, b=4

find the vertex of the function g :

the symetry axis: x= -4/2(1) => x = -2

y = g(-2) = (-2)²+4(-2)= 4-8 = -4

so, the vertex is (-2, -4)

Answer:

Step-by-step explanation:

Vertex form of a quadratic function:

We have (h, k) = (3, -4)

The function f(x) is:

The function g(x) is:

g(x) = f(x + 5) =

         (x + 5 - 3)² - 4 =

         (x + 2)² - 4

Vertex of g(x) is:

Equation = 21/7=?

Revision: 7 x ? = 21

7+7+7 = 21

7 x 3 = 21

21/7 = 3

Answer = 3

Answer: 0.214

Step-by-step explanation:

There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214

Answer:

$52.00

Step-by-step explanation:

if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.

Answer:

52

Step-by-step explanation:

Multiply 13 and 4 to get $52.

Answer:

15.65 units

Step-by-step explanation:

Given data

x1=-5

y1=-10

x2=2

y2=4

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-(-5))²+(4-(-10))²)

d=√(2+5)²+(4+10)²

d=√7²+14²

d=√49+196

d=√245

d=15.65 units

Hence the distance between the points is 15.65 units

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

Answer:

N=3

Explanation:

Look at image below

[tex]\longrightarrow{\green{C.\: {x}^{7}}}[/tex] 

Step-by-step explanation:

[tex]( {x}^{5} )( {x}^{2} ) \\\\ = {x}^{5 + 2} \\\\ = {x}^{7} \\\\ (∵ {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

B and D

Step-by-step explanation:

Multiplying exponents just adds them.

Answer:

B + D

Step-by-step explanation:

(the answer is) = 6466602

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore,  'x' must be greater than 3 and less than 11

The value of the third side should be < 11 so, it cannot be 11, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The two sides of a triangle are  4 and 7

According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.

The sum of the sides is 4+7 = 11

Let the third side be x

then,

x < 11

The x cannot be 11.

The missing options are

A. 4

B. 7

C. 11

D. 5

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Answer:

[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]

Step-by-step explanation:

Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.

If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.

Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.

[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]

Answer:

3cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

Answer:

he got 8 different colors to choose from for the first stripe. he has to choose from 7 for the second (one choose less bc he alrdy took one color)

that alone makes 56 different ways for just two stripes.

he will use 5 stripes in total, so the calculation is:

8*7*6*5*4 = 6720

(8!-3! would also work with the calculator 8! uses all the naturalnumbersfrom 1 to 8 and multiplies them)

Answer:

below

Step-by-step explanation:

three cards angles are greater than 100°

total cards = 8

probability = 3/8

Given :-

To Find :-

Answer :-

We know that , if ,

=> √{ab}

It can be written as ,

=> √a × √b ,

Therefore ,

=> √{ 16 × 4 }

=> √16 × √4

Option D is correct !

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 16 → (1)

2x + y = 9 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 4x - 2y = - 18 → (3)

Add (1) and (3) term by term to eliminate y

- x = - 2 ( multiply both sides by - 1 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

3(2) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )_

y = 5

solution is (2, 5 )

Answer:

u can use the hit and trial method for this

Answer:

Step-by-step explanation:

1/4