What does b stand for in this equation?

3b=12

A 1

B 2

C 3

D 4

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Answer:

I think the answer is yes

Multiply x by 12 to get y

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Answer:

Step-by-step explanation:

Step 1

Find the fraction of the money he gave the charity

Let the total amount he had = 1

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.

Fraction of money he gave to charity =

1 - (4/5 + 3/4 + 2/3)

He gives the remaning $50,000 to a charity. How much did he win?

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Answer:

The answer I'd the option D

Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

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

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}