Jimmy Bullard and his friend went for fishing.

Olivia was baking. The recipe called for seven cups of flour and three cups of sugar.she already put two cups of flour. How many

ANEK [815]

She needs 5 cups of flour and 3 cups of sugar.

8 0

2 years ago

A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.

Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

$PE=mgh$

where

$mg=30 N$ is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

$KE+E_t = \frac{1}{2}mv^2 + E_t$

where:

$m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg$ is the mass

v = 13 m/s is the final speed of the stone

$E_t$ is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

$E_t=W=Fh$

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

$mgh=\frac{1}{2}mv^2+Fh$

And solving for F, we find the average force of air friction:

$F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N$

3 0

2 years ago

Factor x^2a^2 + 3xa^2 + 2a^2. Show your work.

kotegsom [21]

$x^2a^2 + 3xa^2 + 2a^2= \\ a^2(x^2+3x+2)= \\a^2(x^2+2x +x+2)= \\a^2(x(x+2)+(x+2))= \\a^2(x+2)(x+1)$

4 0

2 years ago

Select the correct answer. A line each runs from point B through points A and C. First arc, centered at B, cuts line B A at J an

anastassius [24]

In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.

Read more on arc here: brainly.com/question/20594692

#SPJ1

6 0

2 years ago

Express the given terminating decimal as a quotient of integers. if possible, reduce to lowest terms. 0.66

taurus [48]

.66 is 66 out of 100. "out of" means divide

66/100
We can reduce this by dividing each number by the same amount - 2

33/50

8 0

2 years ago