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4 years ago

Can someone help me with this

Mathematics

2 answers:

vagabundo [1.1K]4 years ago

3 0

Answer:

0,5 is not a solution

Step-by-step explanation:

Dahasolnce [82]4 years ago

3 0

Answer:

(0,5)

Step-by-step explanation:

Just plug them in:

2x - y = 10

- 2 (0) - (5) = 10?

no because 2 x 0 is 0. That would mean -5 = 10. which isn't true

- 2 (10) - (10)?

yes because 2 x 10 is 20. Subtract 10 from that and you get 10. so 10 =10

- 2 (5) - (0)?

yes because 2 x 5 is 10. There is nothing to subtract from 10 so you get 10. 10 =10.

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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of

zepelin [54]

Answer:

<em>The larger gear will rotate through 156°</em>

Step-by-step explanation:

<u>Arc Length</u>

The arc length S of an angle θ on a circle of radius r is:

$S = \theta r$

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

$\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}$

The arc length of the smaller gear is:

$\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7$

$\displaystyle S_1=\frac{18.5\pi}{3}$

The larger gear rotates the same arc length, so:

$\displaystyle S_2=\frac{18.5\pi}{3}$

$\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}$

Solving for θ2:

$\displaystyle \theta_2=\frac{18.5\pi}{3r_2}$

$\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}$

$\theta_2=2.73\ radians$

$\displaystyle \theta_2=2.73*\frac{180}{\pi}=156$

The larger gear will rotate through 156°

7 0

3 years ago

A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte

Jlenok [28]

Answer:

Option B is the correct answer.

Explanation:

Current number of butterflies in the park = 20 thousand.

Rate of increase of butterfly population = 4% = 0.04

The population of butterfly after 1 year = 20+0.04*20 = 20*1.04

The population of butterfly after 2 years = 20*1.04 + 20*1.04*0.04 = 20*1.04*1.04

The population of butterfly after 3 years = 20*1.04*1.04 + 20*1.04*1.04*0.04 = 20*1.04*1.04*1.04

So, population of butterfly after n years = 20*(1.04*1.04*1.04* .... n times)

$= 20*1.04^n$

Option B is the correct answer.

6 0

4 years ago

Read 2 more answers

Is 17 heartbeats in 15 seconds equivalent to 68 heartbeats in 60 seconds

olga nikolaevna [1]

Yes, it is equivalent. :)

6 0

3 years ago

Read 2 more answers

Once every week, the 5 members of the band have lunch together. They always order the same number of pizzas and sodas and split

Illusion [34]

We can find this out by taking the total (23.70) and dividing it by the 5 band members, getting the number 4.74. Now we do this again, but with the extra band member we get 3.95. Now the last step it 4.74 - 3.95, which is 0.79. So each band member payed 0.79 less than normal.

5 0

3 years ago

* Jenny marked on a coordinate plane all points with the first coordinate an integer between −12 and 7 and the second coordinate

Nat2105 [25]

Answer:

Jenny marks 414 different points on the coordinate plane.

Step-by-step explanation:

A point on a coordinate plane is represented by (x, y)

The possible values of x include all the integers between -12 and 7; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.

The possible values of y include all the integers between -12 and 12; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

This means that each x-value can take on each y-value.

There are 18 x-values and 23 y-values.

Each x-value can form 23 different coordinates with all the available y-values.

18 x-values will form 18 × 23 different coordinates with the all the available y-values.

The total number of points that Jenny marks = 18 × 23 = 414.

Hope this Helps!!!

5 0

3 years ago