Factor the expression completely: x3 - 48x

Answer:

[tex]c=\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x}[/tex]

[tex]f'(x)=\frac{\sqrt{2x}}{2x}[/tex]

[tex]f'(1)=\frac{\sqrt{2}}{2}[/tex]

[tex]f'(c)=\frac{\sqrt{2c}}{2c}[/tex]

[tex]f'(c)=4f'(1)[/tex]

[tex]\frac{\sqrt{2c}}{2c}=4(\frac{\sqrt{2}}{2})[/tex]

[tex]\frac{\sqrt{2c}}{2c}=2\sqrt{2}[/tex]

[tex]\sqrt{2c}=4c\sqrt{2}[/tex]

[tex]2c=32c^2[/tex]

[tex]2=32c[/tex]

[tex]\frac{1}{16}=c[/tex]

Answer:the answer is a

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

A = 99.84 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9.6 and h = 10.4 , then

A = 9.6 × 10.4 = 99.84 cm²

Step-by-step explanation:

We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.

But let's make an exception.

For the first right angle. The area = 1/4(b+h)

¼(10.4+9.6) = 5cm²

We see that the base of the triangle is flipped and the angles correspond

so, the area would be 5cm² * 2

= 10cm²

Answer:

230

Step-by-step explanation:

23% of 45 = 10.35

10.35 / 4.5 = 2.3

2.3 x 100 = 230

Step-by-step explanation:

it will be equal 230 as in the shown photo

Step-by-step explanation:

Hope it will help you a lot.

the answer to your question is B.) 12x

Answer:

I believe it is 30.

Step-by-step explanation:

on the screenshot it shows 18, 24, 30, meaning 30 is the answer

Answer:

24 red balls 56 blue balls

Step-by-step explanation:

We can use the ratio as percentages

30% of 80 is 24 red balls, and then we do 80-24=56 to calculate blue balls

try 4,320 for your answer

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that:  [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

Answer:

Step-by-step explanation:

number 2) 0

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

3/3 - 2/3 = 1/3

Hello there, today you gave us the problem [tex]\frac{17}{20}-\frac{4}{15}[/tex],

Our first step is to give them common denominators, which is [tex]\frac{51}{60}-\frac{16}{60}[/tex], solve it and we get [tex]\frac{35}{60}[/tex] as our answer, which can be simplified down to [tex]\frac{7}{12}[/tex]

Answer:

Britain's goal with the Dominion of New England was to conglomerate all the governance of the colonies under one governor, a governor that would be able to properly enforce British laws. Before the Dominion was created, New England colonies were ruled under individual charters that allowed for self-government.

Step-by-step explanation:

about $40 explanation. in this problem you need to round and multiply so round each number 8.25 rounds to 8 and 5.85 rounds to 6 multiply each by 20 and then subtract the greater number by the less number.

Answer x =-10

Step-by-step explanation:

:)

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

Answer:

  each coordinate is multiplied by 1/3

Step-by-step explanation:

Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.

For example, a coordinate of (3, -9) scaled by 1/3 will become ...

  (1/3)(3, -9) = (1, -3)

__

Additional comment

If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.

The attached graph is an illustration of dilation by a factor of 1/3.

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

Actual Product:

4491.9

Estimated Product:

4492

How is it 4492?

4491.9

The 9 is greater than 5 making it go up,

aka, making the 1 turn into a 2.

Answer:

Option B is the correct answer, 3√2

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

මාපාංක සුලු කිරිම.

l xl means ± x .

then |2x+6| = ±(2x+6)

for positive no;

5 (2x+6) = 25

10x + 30 = 25

10x = -5

x = -1/2

for negative no;

5(-2x - 6) = 25

-10x - 30 = 25

-10x = 55

x = - 11/2

otherthan that I observed.

5 |2x + 6| means only consider about the positive number. i think it called as amplitude.

then you have to calculate by considering only considering plus value.

How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]

Area of circular piece=

[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]

Area of rectangular piece=

[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]

Area of 2 triangular pieces=

[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]

Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.