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3 years ago

which two expressions have the same value ? A 1/8 +(7/8 +4/8) B. 1/2 +2 C. 3/7 + (1/2 + 4/7) D. 1/3 +4/3 +2/3

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

Answer : A and C have the same value

I hope that's help !

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What is the quotient (3x^3 10x^2 10x 4) divided by (x 2)?

lozanna [386]

Answer:

3x^2 + 16x + 42

3x^2 + 4x + 2

3x^2 – 16x + 42

3x^2 – 4x + 2

Step-by-step explanation:

3 0

3 years ago

Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps

frutty [35]

Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures $\frac{8}{9} = 0.889$ .

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24 after $\frac{24 - 7}{0.889} = 19.122$ ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

4 0

2 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

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

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

Answer quick for brainliest

andre [41]

Answer:

$40 in interest and $240 in total

Step-by-step explanation:

find 5% of 200: 200 x 0.05=10

it's for four years, so multiply times four: 10x4=40

that's the amount of interest so now add that to her original 200 and you get 240!

4 0

3 years ago

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 8 percent simple interest per year. S

daser333 [38]

The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700,
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664 yay!

8 0

2 years ago