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mylen [45]
3 years ago
5

Passes through(4,7)Slope=2

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

Step-by-step explanation:

Slope = 2 and passes point (4,7)

The equation is y - y1 = m(x - x1)

And y1 = 7 while x1 = 4, m = 2

: - y - 7 = 2(x - 4)

y - 7 = 2x - 8

y = 2x - 8 + 7

y = 2x - 1 this is the equation

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The world population is projected to be 6.7 billion in 2040. At that​ time, there are expected to be approximately 2 billion mor
Charra [1.4K]
\bf \begin{cases}
s=\textit{Asia's population}\\
a=\textit{Africa's population}\\
r=\textit{rest of the world}\\
----------\\
\boxed{s}=a+2\\
\boxed{r}=\frac{s}{2}+0.2
\end{cases}\implies 
\begin{array}{llll}
s+a+r=6.7\\\\
\boxed{a+2}+a+\boxed{\cfrac{s}{2}+0.2}=6.7\\\\
a+2+a+\cfrac{\boxed{a+2}}{2}+0.2=6.7
\end{array}

solve for "a", to see what Africa's population will then be
5 0
3 years ago
A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi
Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

\text{Volume of the cyllinder}= \pi r^2h

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h

Substitute the values,

\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3

                                  = \dfrac{4}{3}\pi r^3\\\\=  \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water =  Volume of the cylinder - Volume of the sphere

                                   = 1696.46 - 113.097

                                   = 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0
2 years ago
What is the answer to this 8x+14y=4<br> -6x-7y=-10
cestrela7 [59]

Answer:

14x=4-21y

Step-by-step explanation:

8 0
2 years ago
Select the correct answer.
Afina-wow [57]

Answer:

d)\ \frac{81}{m^{7}}

Step-by-step explanation:

(3m^-4)^3(3m^5)

First, simplify (3m^{-4})^3:

(3m^{-4})^3\\\\3^3*m^{-4*3}\\\\27m^{-12}

27m^{-12}*3m^5\\\\27*3 *m^{-12+5}\\\\81m^{-7}\\\\81*\frac{1}{m^{7}} \\\\\frac{81}{m^{7}}

Hope this helps!

5 0
2 years ago
What is not an example of kinetic energy?
Anestetic [448]

Answer:

Moving Car. Moving cars possess some amount of kinetic energy. ...

Bullet From a Gun. A bullet fired from a gun has very high kinetic energy, and, so, it can easily penetrate any object. ...

Flying Airplane. ...

Walking & Running. ...

Cycling. ...

Rollercoasters. ...

Cricket Ball.

5 0
2 years ago
Read 2 more answers
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