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3 years ago

20 points!!! solve 3x^2-4x+1=2x^2+3x-4 by graphing. Round your answers to the nearest hundreth if necessary.

Mathematics

2 answers:

bekas [8.4K]3 years ago

8 0

Answer: The answer is 3.0?s

Step-by-step explanation:

seraphim [82]3 years ago

6 0

Answer:

e4rww985r43908598509305

Step-by-step explanation:

123472348734834728437894 78234974389 i need points

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A group of employees bought a get well gift for a co worker. The gift costs $46.06. If there are 22 employees in the group, how

Nuetrik [128]

All 22 employees need to pay an equal amount, so $46.06 will be split between 22 people, making this a division question.

$46.06 ÷ 22
= 2.093636364
= $2.09 each (nearest penny)

6 0

3 years ago

Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon

bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 $ft^3$ $\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h} \approx -0.05537 \:\frac{ft}{h}$

Step-by-step explanation:

Let $r$ be the radius and $V$ the volume.

We know that the gas is escaping from a spherical balloon at the rate of $\frac{dV}{dt}=-12\:\frac{ft^3}{h}$ because the volume is decreasing, and we want to find $\frac{dr}{dt}$

The two variables are related by the equation

$V=\frac{4}{3}\pi r^3$

taking the derivative of the equation, we get

$\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

With the help of the formula for the volume of a sphere and the information given, we find $r$

$V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}$

Substitute the values we know and solve for $\frac{dr}{dt}$

$\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}$

7 0

4 years ago

Addison earn $25 Mowing her neighbors lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday sh

larisa [96]

$29. 25-18+50=57. 86-57=29

8 0

4 years ago

5. Simplify the expression 18 times 4 y 3

Y_Kistochka [10]

I think the 3 is an exponent so we can write the expression as

18 * 4y^3
= 72y^3

3 0

4 years ago

Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.

PilotLPTM [1.2K]

Answer:

7.5 lbs

Step-by-step explanation:

1 g = 0.00220462262185 lb

3400 g * .00220462262185 lbs/1 g = 7.495717 lbs

Rounding to the nearest tenth

7.5 lbs

3 0

3 years ago