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pantera1 [17]
2 years ago
12

Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11

Mathematics
1 answer:
Andreas93 [3]2 years ago
3 0

Answer:

1, 5

Step-by-step explanation:

I may be a little wrong but;

Multiply it by 3 and 4-

-12x+9y=-51

12x-16y=44

-7y=-7

y=1

x=5

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Find an explicit rule for the nth term of the sequence.
Sphinxa [80]

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

a1 \times  {4}^{n - 1}

n > 1

7 0
2 years ago
Area and Circumference of Circles
Thepotemich [5.8K]

Pi(\pi) is the ratio of circumference to diameter for any circle.

Perimeter is the distance around a circle.

Circumference of circle C = \pi d.

Perimeter of circle = 2 \pi r

What is circle ?

A circle is a spherical shape without boundaries or edges.

A circle is a closed, curved object with two dimensions in geometry.

Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.

For smaller values of θ, the arc length AB is almost equal to the length of the line segment \bar{AB}. Similarly, arc CD ≅ \bar{CD}.

Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.

Circumference = \pi \times diameter or circumference = 2\pi \times radius if this constant equals some value.

So it was proved.

Learn more about Circle click on this:

brainly.com/question/24375372

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7 0
1 year ago
How many different passwords are possible if each password consists of six characters where each character is either an uppercas
irga5000 [103]

<span><span>1,867,866,560</span><span>1,867,866,560</span></span><span>.</span>
4 0
3 years ago
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120
Jet001 [13]

The rate at which the sound travels in km/hr is 0.142km/hr

<h3>Conversion of m/s to km/hr</h3>

If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;

1hr = 3600secs

1km = 1000m

Using the conversion factor in our dimensional analysis

5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr

5120m/s  = 5120m/3600000

5120m/s = 0.142km/hr

Hence the rate at which the sound travels in km/hr is 0.142km/hr

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6 0
1 year ago
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