Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}

Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

Answer: Plan A

Step-by-step explanation:

7 + (2.50x5) = ?

7 + 12.50 = 19.50 therefore plan A = $19.50

Plan B = 5x4 = 20 therefore plan B = $20.00

Answer:

Its point X

Step-by-step explanation:

Just did it on edge 2020

The point that is the center of the circle is point X

The circle is given as:

Circle X

A circle is named after its center.

This means that the center of circle X is X

Hence, the point that is the center of the circle is point X

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Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10

the answer is A).

Step-by-step explanation:

..........................

Answer:

I think B. I'm not sure though because i'm only 13 :(

Answer:

x = 0

Step-by-step explanation:

5x=29x

Subtract 5x from each side

5x-5x=29x-5x

0 = 24x

Divide each side by 24

0/24 =24x/24

0 = x

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Answer:

Option D: 5.98x Coconuts

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

Answer:

1/6

Step-by-step explanation:

P(3) = number of three's  / total number of outcomes

      = 1/6

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because first it is 11, 12, after it is 13, and 14

: for 22, 23 and after 24

Answer:

B

Step-by-step explanation:

Answer:

The equation for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c ----1

y represents the depth of water

t represents the time

The depth of the water after 5 hours is 32 inches.

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47

Answer:

A

Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.

Answer:

A. 3 red squares to 6 green squares.

Step-by-step explanation:

We have 15 red squares for 30 green squares. The ratio is:

[tex]$\frac{15}{30} $[/tex]

Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides  [tex]$\frac{3}{6}$[/tex]  , other examples:

[tex]$\frac{1}{2} $[/tex]

[tex]$\frac{5}{10} $[/tex]

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Answer:

Step-by-step explanation:

Find  the maximum value of

C = 3x -2y  Objective function

subject to the following constraints.

Constraints

x ≥ 0

y ≥ 0                

2x + y ≤ 10  vertex 1 : when x=0 then y=10  (0,10)

3x + 2y ≤ 18 vertex 2 : y=0, then x=6          ( 6,0)

two equations together to determine vertex 3 :

3x+2y = 18

2x+y = 10

x=2, y= 6

The feasible region determined by the constraints is

shown. The three vertices are (0, 10),  and (6, 0), (0,9)

and (2,6)

First evaluate C = 3x -2 y at each of the vertices.

At (0, 10): C = 3(0) - 2(10) = -17

At (6, 0): C = 3(6) - 2(0) = 18

At ( 2,6) : C = 3(2) -2(6) = -6

At (0,9) : C = 3(0)-2(9)= -18

the maximum value occur on 18 when x=9 and y=0

Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:

[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]

       Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].

        [tex]2(0)+y=10\\ y=10[/tex]

      So, the intersecting point is [tex](0,10)[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].

        [tex]2x+0=10\\ 2x=10\\ x=5[/tex]

      So, the intersecting point is [tex](5,0)[/tex].

       Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].

        [tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]

      So, the intersecting point is [tex](0,9)[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].

        [tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]

      So, the intersecting point is [tex](6,0)[/tex].

        Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].

        [tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]

       Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:

        [tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]

      So, the intersecting point is [tex](2,6)[/tex].

Corner points:

          The corner points are the boundary points of the bounded region of   the given constraints.

The bounded region of the given constraints is shown below.

Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:

At [tex](0,0)[/tex]:

[tex]C=3(0)-2(0)\\C=0[/tex]

At [tex](5,0)[/tex]:

[tex]C=3(5)-2(0)\\C=15[/tex]

At[tex](0,9)[/tex]:

[tex]C=3(0)-2(9)\\C=-18[/tex]

At[tex](2,6)[/tex]:

[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]

From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].

Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].

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Answer:

Segment EF = 16 units

Step-by-step explanation:

First we will figure out our equation:

Line FD is adjacent to angle a.

Line EF is opposite to angle a

and line ED is the hypotenuse.

Since we will being using Tangent, the hypotenuse is irrelevant.

Tan a° = [tex]\frac{opposite}{adjacent}[/tex]

Now substitute:

[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]

Multiply both sides by 12:

[tex](12)tan\frac{3}{4} =x[/tex]

Solve for tangent by using your calculator:

[tex]tan \frac{3}{4}= 1.333333333[/tex]

[tex](12)1.333333333= 16[/tex]

[tex]16 = x[/tex]

EF = 16 units.

Answer: the one above is correct

Step-by-step explanation:

Took the test!! :)

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

A. 3 Gallons

Step-by-step explanation:

1/3÷1/9

1/3÷1/9=1/3 x 9/1

(Then Multiply)

1x9/3x1= 9/3= 3

3 Gallons of paint

3 Galoons of paint is needed to pain the total gate.

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,

Since,

1/3 gallons of paint is = 1/9 part of the gate,

Therefore,

1 gate = 1/3 x 9 = 3

Hence 3 Galoons of paint is needed to pain the total gate.

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Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

Answer:   5/6

The complement of an event is basically the complete opposite.

If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.

The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get

1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Answer:

B and E

Step-by-step explanation:

Given the rational expression

[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator

2x² - 32 ← take out a common factor of 2 from each term

= 2(x² - 16) ← (x² - 16) is a difference of squares

= 2(x - 4)(x + 4)

The expression can now be written as

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

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.

2(x - 4)(x + 4) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

These are the values of x that make the expression undefined.

x = 4 → B

x = - 4 → E

Answer:

5^15

Step-by-step explanation:

When the bases are the same, we add the exponents when multiplying

5^10 * 5^5

5^(10+5)

5^15

Answer:

5 to the power of 15

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The given table is

x   f(x)

-4    0

-2    2

0    8

2    2

4    0

6   -2

A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.

From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).

Therefore, the correct option is C.

Answer:

it is c (-4,0), (4,0)

Step-by-step explanation:

Answer:

D. Make a list

Step-by-step explanation:

Answer:

D. Make a list

Step-by-step explanation:

You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.

Answer:

x = - 5

Step-by-step explanation:

The line with equation x = - 2 is a vertical line parallel to the y- axis.

A parallel line will also have the equation

x = c

where c is the value opf the x- coordinates the line passes through.

The line passes through (- 5, 4) with x- coordinate - 5, thus

x = - 5 ← equation of parallel line

Answer:

126

Step-by-step explanation:

squaring both sides

([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]

⇒2x+4=256

2x=252

x=252/2=126