The volume of 1000 drops of a liquid is 0.1 fluid ounce.
What is the volume of 10,000 drops?

Answer:

They cannot. They have to be obtuse and acute.

The value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.

Simplified form of an equation is the simplest way of expression the equation, which is obtained by applying the required operations of mathematics.

A polynomial expression is shown below.

[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)[/tex]

The expression is simplified to the following expression,

[tex]8x^3 + 6x^2 + 15x + 6[/tex]

As the equation is a simplified expression of the given polynomial. Thus, both the equation are same.

[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)=8x^3 + 6x^2 + 15x + 6[/tex]

Open the brackets and simplify it further,

[tex]2mx^5+5mx^4+2mx^3+6x^2+15x+6-8x^5-20x^4=8x^3 + 6x^2 + 15x + 6\\2mx^5+5mx^4+2mx^3=8x^3+6x^2+15x+6-6x^2-15x-6+ 8x^5+20x^4\\m(2x^5+5x^4+2x^3)= 8x^5+20x^4+8x^3 \\m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3)[/tex]

On comparing both side of the equation, the value of m we get is,

[tex]m=4[/tex]

Thus, the value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.

Learn more about the simplified form here;

https://brainly.com/question/1597694

Answer:

50 ft²

Step-by-step explanation:

As you can see the polygon on the grid is not a regular polygon, so to calculate the area would be very complicated without having the right tools, what we can doo is to draw a squre that covers the whole height but not the total length, that way we can take a close estimate of the area, the closest square that can be formed would be a 6x9 square, and the estimated area would be 54, that would be the maximun area, so the answer would be 50 squared feet.

see attached picture for the answers:

The answer is $1932.15

3,513+351.30=3864.30

3864.30÷2=1932.15

Hope this helps!

4:4

Alice and Cori have the same amount of cookies

The statement which best describes the resulting three-dimensional figure is:

We know that when a rectangle is rotated about a line then the resulting figure so obtained is a cylinder.

Also, the breadth of the rectangle will be the radius of the cylinder.

Here the perimeter of the rectangle is: 76 cm.

Also the length of the rectangle is: 24 cm.

Let b be the breadth of the rectangle.

We know that the perimeter of rectangle is given by the formula:

               [tex]Perimeter=2(l+b)[/tex]

where l is the length of the rectangle and b is the breadth of the rectangle.

Here we have: l=24 cm

Hence,

[tex]76=2(24+b)\\\\i.e.\\\\24+b=\dfrac{76}{2}\\\\i.e.\\\\24+b=38\\\\i.e.\\\\b=38-24\\\\i.e.\\\\b=14\ cm[/tex]

Velocity is the rate of change of distance over time.

The ball's approximate vertical speed when it hits the ground is 19.8m/s

The maximum height of an object, thrown up is calculated as:

[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]

Where:

[tex]\mathbf{h_{max} = 20m}[/tex] --- the maximum height

[tex]\mathbf{v = ??}[/tex] --- final velocity

[tex]\mathbf{g = 9.8ms^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]

[tex]\mathbf{20 = \frac{v^2}{2 \times 9.8}}[/tex]

Solve for v^2

[tex]\mathbf{v^2 = 2 \times 9.8 \times 20}[/tex]

[tex]\mathbf{v^2 = 392}[/tex]

Take square roots of both sides

[tex]\mathbf{v = 19.8ms^{-1}}[/tex]

Hence, the ball's approximate vertical speed when it hits the ground is 19.8m/s

Read more about velocity at:

https://brainly.com/question/13639113

When a softball is thrown straight up and reaches a maximum height of 20 meters, the approximate vertical speed when it hits the ground can be determined by taking into account the initial vertical velocity and the time it takes to reach the maximum height and fall back down. Using the given information, the initial vertical velocity is calculated using the equation v0y = sqrt(2gh), where g is the acceleration due to gravity and h is the maximum height. Substituting the values, the approximate vertical speed is 19.80 m/s.

When a softball is thrown straight up and reaches a maximum height of 20 meters, its approximate vertical speed when it hits the ground can be determined using the principles of projectile motion. The vertical speed of the ball when it hits the ground can be calculated by taking into account the initial vertical velocity and the time it takes for the ball to reach its maximum height and then fall back down. In this case, since the ball is thrown straight up, the vertical speed when it hits the ground will be equal to the initial vertical speed.

Using the given information, we know that the ball reaches a maximum height of 20 meters. We can calculate the time it takes for the ball to reach this height using the equation for vertical displacement:

h = v0yt + (1/2)gt2

Where:

Since we know the maximum height and the acceleration due to gravity, we can rearrange the equation to solve for the initial vertical velocity:

v0y = sqrt(2gh)

where:

Substituting the values into the equation, we get:

v0y = sqrt(2 * 9.8 * 20)

Simplifying further:

v0y = sqrt(392)

v0y ≈ 19.80 m/s

Therefore, the approximate vertical speed of the ball when it hits the ground is 19.80 m/s.

https://brainly.com/question/6565449

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divide total by amount needed for each batch

5.25 / 1.75 = 3

 they made 3 batches of cookies

Answer:

The correct option is 3.

Step-by-step explanation:

In ΔACT and ΔDGO.

[tex]\angle A=\angle D[/tex]               (Given)

[tex]\angle AC=\angle DG[/tex]               (Given)

[tex]\angle C=\angle G[/tex]                 (Given)

By ASA property of congruent triangles.

[tex]\triangle ACT\cong \triangle DGO[/tex]

The congruent part of congruent triangles are congruent.

[tex]TA=OD[/tex]                               (CPCTC)

The side TA is corresponding to OD.

Therefore the correct option is 3.

Final answer:

The average speed of the second car is calculated by subtracting the distance traveled by the first car from the total distance after both cars have traveled in opposite directions for the same amount of time. The second car's average speed is found to be 70 mph.

Explanation:

To find the average speed of the second car, we first need to establish the total distance covered by both cars. Since they are moving in opposite directions, we can add their distances together to determine the total distance.

Let's designate the distance the first car travels as D1 and the distance the second car travels as D2. The average speed of the first car is given as 30 mph, and both cars travel for 4 hours. Therefore, D1 can be calculated as follows:

D1 = average speed of first car × time = 30 mph × 4 h = 120 miles

Since we know that the combined distance D1 + D2 is 400 miles, we can find D2 by subtracting D1 from the total distance:

D2 = total distance - D1 = 400 miles - 120 miles = 280 miles

Now, to find the average speed of the second car, we divide D2 by the time, which is 4 hours:

Average speed of the second car = D2 / time = 280 miles / 4 h = 70 mph

Therefore, the average speed of the second car is 70 mph.

Answer:

d 15

Easy. As that