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2 years ago

17 Points! Examine this system of equations with the procedure for using the linear combination method.

Mathematics

2 answers:

jekas [21]2 years ago

6 0

Answer:

The lines are parallel

There is no solution to the system

I took the test and it said that these are the answers

belka [17]2 years ago

4 0

Answer:

The lines are parallel.

There is no solution to the system.

Step-by-step explanation:

4x − 9y = 54,

16x − 36y = 208

−16x + 36y = −216

16x − 36y = 208

-------------------------------------------

0 + 0 = −8

0 = −8

Since this is not true, there are no solutions

The lines are parallel

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Some species of hummingbirds appear to hover in mid-air by flapping their tiny wings 80 times per second. How many times per min

astraxan [27]

So the way to answer this question is to convert minute to seconds
We know that a minute has 60 seconds
The problem states that the hummingbird flaps its wings 80 times per second
So 80 times per second x 60 seconds = 4800 times would be the final answer.

3 0

2 years ago

Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are

34kurt

Bobby is 7 and his sister is 3.

Explanation : his dads age : 41
since his dads age is six more than, you would subtract 6 from 41 to get 35.
and since 35 is 5 times bobby’s age you would divide 35 by 5 to get 7
So bobby is 7.

bobby’s sister :
bobby’s age : 7
bobby’s little sisters age is one less than half of his age you subtract 1 from 7 and you would get 6
Now that it’s one less you have to find half so divide 6 by 2 and you’ll get 3
So bobby’s sister is 3.

bobby’s age : 41 - 6 = 35
35 (divided by) 5 = 7
bobby’s sister : 7 - 1 = 6
6 (divided by) 2 = 3

8 0

2 years ago

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

2 years ago

One day you bike for 30 miles 10 cool down at a rate of 0.25 miles/minute. The total distance you bike is 35 miles. How many min

tatyana61 [14]

To determine the length of time it would took for the biker to cool down, we need the rate that would relate the distance he traveled to cool down per units of time. For this problem, the rate is given as 0.25 miles per minute. So, we simply divide the total distance he traveled with this rate. We calculate as follows:

time to cool down = distance / rate
time to cool down = 35 miles / 0.25 miles / minute
time to cool down = 140 minutes or 2 hrs and 20 minutes

Therefore, the biker would need to cool down for about 2 hrs and 20 minutes if he traveled for 35 miles.

8 0

2 years ago

Which statement correctly finds the interquartile range for the set of data represented by the box plot?

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

Median: 9.5

Lower Quartile: 6

Upper Quartile: 11

Interquartile Range: upper quartile - lower quartile = answer

6 0

2 years ago