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Bumek [7]
3 years ago
10

2x + 5(y - 1) when x=8 and y=5

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:

16+24=40

Step-by-step explanation: 2x+5(y-1) when x=8 and y=5. put x where it belongs, by the 2 and do the same with y, by the -1. and then slove. 2*8= 16 , 5*5= 25-1, then add 16 and 24 together and get 40.

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HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How
Julli [10]

Answer:

25 train routes

Step-by-step explanation:

The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!

4 0
4 years ago
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The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′
sveticcg [70]

ANSWER


The correct  answer is B


<u>EXPLANATION</u>

If we analyse the coordinates carefully, you realize there is a mapping of

(x,y)\rightarrow(-x,y)

This is a reflection in the y-axis.


Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.



5 0
3 years ago
Read 2 more answers
Solve each system of equations by substitution <br> Y=4x+13 y=6x+19
rosijanka [135]

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

6 0
3 years ago
Systematic random sampling has become a popular method of drawing samples in research practices because _____.
dolphi86 [110]

it is a relatively easy way to draw a sample while ensuring randomness is the answer.

Systematic sampling is a probabilistic sampling method in which a researcher selects members of a population at regular intervals. For example, select every 15 people from the list of populations. If the population is in random order, this can mimic the benefits of a simple random sample.

These are generally preferred by researchers because they are easy to implement and understand. The important assumption that the results represent the majority of the normal population ensures that the entire population is sampled equally. The process also provides a higher level of control for systematic sampling compared to other sampling methods. systematic sampling also has a lower risk factor because the data is unlikely to be contaminated.

Learn more about systematic random sampling here:brainly.com/question/21100042

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5 0
2 years ago
HELP PLEASE
Arturiano [62]

The plane will end up flying 5.02°.

The plan's speed relative to the ground will be 645.91 km/hr.

Solution:

Use the cosine formula,

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute the given values in the formula,

\mathrm{R}^{2}=700^{2}+80^{2}-(2 \times 700 \times 80 \times \cos 45^\circ)

\mathrm{R}^{2}=490000+6400-(112000 \times\frac{1}{\sqrt{2} } )

\mathrm{R}^{2}=496400-79195.95

\mathrm{R}^{2}=417204.049

Taking square root on both sides, we get

R = 645.91 km/hr

This is the grouped speed of the aircraft.

To find θ use sine rule.

$\frac{\sin C}{c}=\frac{\sin A}{a}

$\frac{\sin \theta}{80}=\frac{\sin 45}{645.91}

Do cross multiplication, we get

${\sin \theta}}=\frac{\sin 45}{645.91}\times 80

${\sin \theta}}=\frac{\frac{1}{\sqrt{2} } }{645.91}\times 80

sin θ = 0.0875

θ = 5.02°

This is known as the drift angle and is the correction the pilot should apply to remain on course.  

The heading is the direction the aircraft's nose is pointing which is

The track is the actual direction over the ground which is θ = 5.02°

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

7 0
4 years ago
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