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3 years ago

PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

Answer:

sure

Step-by-step explanation:

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3x + 4y = 14<br> x = 2y - 12<br><br> Which point satisfies both equations?

kicyunya [14]

The answer is x and 14

5 0

3 years ago

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How to write 14.05 in expanded form ?

Mama L [17]

You write 10+4+.05.
this is because you add each value separately <span />

6 0

3 years ago

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Josh is going to choose a two digit number. What is the probability that the sum of the digits will be nine?

stiv31 [10]

Answer:

4/45

Step-by-step explanation:

First find all the pairs that make 9 that are two digit:

1+8

2+7

3+6

4+5

5+4

3+6

2+7

1+8

That's 8 pairs, and as there are 90 two digit numbers, 8/90 is the answer. but if you want to simplify, the answer is 4/45

6 0

3 years ago

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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

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Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24

Marat540 [252]

Answer:

No solution

Step-by-step explanation:

<h3>Solving system of linear equations:</h3>

7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

$\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\$

$\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}$

$\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}$

So, the lines are parallel and has no solution

7 0

2 years ago