Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4

Answers

Answer 1

Answer:

The one that's include a rows 2 1 1 2

Answer 2

Answer:

A

Step-by-step explanation:

they wanted the reduced echelon form.

On Edge. btw


Related Questions

A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?​

Answers

Answer:

h≈2.65cm

r Radius

3

cm

V Volume

75

cm³

Using the formula

V=πr2h

Solving forh

h=V

πr2=75

π·32≈2.65258cm

hope it's help ful

Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h). ​

Answers

Answer:

Step-by-step explanation:

o.6214 miles= 1km

1 mile=1/0.6214 =(10000)/6214 km

38 miles=(10000)/6214 ×38 ≈61.1 km/hr

i need to figure this out, but im d*mb.
If i can get 1000 of something for 15$, then how much can i get of it for 10$? need help asap

Answers

Answer:

666

Step-by-step explanation:

1000 off ⇒ $151 off  ⇒ $15/1000 = $0.015

Let the required number is x, then we have:

x off ⇒ $10x * 0.015 = 10x = 10/0.015x = 666 (rounded down to whole number)

Answer:

We get 666 of something in $ 10.

Step-by-step explanation:

Given that :-

We get 1000 of something for $ 15

Find that :-

How much we can get it in $ 10

Let as assume that : -

Let required number be x.

Solution :-

$ 15 = $ 10

1000 = x

Using cross multiplication method

15 × x = 10 × 100 0

multiply ,

15 x = 10000

Divide each side by 15.

15 x / 15 = 10000 / 15

x = 666

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Answers

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

Question 20
A transformer has 500 turns in its primary coil and 200 in the secondary coil.
a) If an AC voltage of 220 V and frequency 50 Hz is established in the primary coil, find the voltage
and the frequency induced in the secondary coil. (2)​

Answers

9514 1404 393

Answer:

88 V50 Hz

Step-by-step explanation:

The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.

The secondary voltage is ...

  (200/500)(220 V) = 88 V

__

A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.

_____

* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.

cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D

Answers

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

Find the mean birth weight of these 29 babies

Answers

Answer:

The mean is 6.14

Step-by-step explanation:

Given

See attachment

Required

The mean

Mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]

[tex]\bar x = \frac{178}{29}[/tex]

[tex]\bar x = 6.14[/tex]

Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by

A= P(1+ r/n)^nt

Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?

Answers

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year

Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?

Answers

Answer:

50%

Step-by-step explanation:

50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.


Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form

Answers

Answer:

Step-by-step explanation:

3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3

Answers

Step-by-step explanation:

answer in the image above

please help. question in picture ​

Answers

Answer:

Step-by-step explanation:

The difference between two numbers is 7194. If the subtrahend is 12,806, find the minuend.

Answers

Answer: The minuend is 20000

Step-by-step explanation:

To calculate the minuend, we use the equation:

[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]

We are given:

Difference between the two numbers = 7194

Subtraend = 12806

Putting values in above equation, we get:

[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]

Hence, the minuend is 20000

A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Answers

Answer:

[tex]V=6912ft^3[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter  [tex]D=40ft[/tex]

Radius [tex]r=d/2=>20ft[/tex]

Depth at south [tex]d_s=3ft[/tex]

Depth at north [tex]d_n=8ft[/tex]

Average depth of the pool

 [tex]d_a=\frac{3+8}{2}[/tex]

 [tex]d_a=5.5ft[/tex]

Generally the equation for Volume is mathematically given by

 [tex]V=\pi r^2h[/tex]

 [tex]V=3.142*(20)^25.5[/tex]

 [tex]V=6912ft^3[/tex]

4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each

Answers

Answer:

p=2

q=9

Step-by-step explanation:

4p+5q=53

6p+5q =57

Let a pillow is x and a quilt is y.
4x+5y=53
6x+5y=57
Subtract
4x+5y-6x-5y=53-57
-2x=-4
x=2
Put value of x in any equation
4*2+5y=53
8+5y=53
5y=53-8
5y=45
Y=9
Cost of each pillow is 2 and cost of each quilt is 9

I need to find the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

120=6x

120/6=6x/6

20=x

Find the selling price of a $32 item after a 50% markup.
The selling price is $

Answers

Answer:

The seelijg price is $48.

Step-by-step explanation:

Markup is the amount a store adds to its cost of an item to come up with the selling price.

store cost + markup = selling price

If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.

$32 + 50% of $32 =

= $32 + 0.5 * $32

= $32 + $16

= $48

Answer:

50% of 32 is 16 so it it 16$

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

pls helppppppppppp it’s timedddd

Answers

Answer:

HI=15

Step-by-step explanation:

HI=sqrt(17^2-8^2)=sqrt(225)=15

P=8+15+17=40

S=8*15/2=60

Answer:

Step-by-step explanation:

for side HI

hypotenuse = 17

other two sides are 8 and HI . Hi has to be find so let it be x.

using pythagoras theorem

a^2 + b^2 = c^2

x^2 + 8^2 = 17^2

x^2 + 64 = 289

x^2 = 289 - 64

x^2 = 225

x = [tex]\sqrt{225[/tex]

x = 15

for angle G

take angle G as reference angle

using sin rule

sin G = opposite / hypotenuse

sin G = 15 / 17

sin G = 0.882

G = [tex]sin^{-1} (0.882)[/tex]

G = 61.884°

G = 61.88°

for angle I

angle G + angle H + angle I = 180 degree (being sum of interior angles of a triangle)

61.88° + 90° + angle I = 180°

151.88° + angle I =180°

angle I = 180°- 151.88°

angle I = 28.12°

Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.

Answers

Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x

Just did this the other day...

The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,

Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).

Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].

Factor the denominator: 8x(x² - x - 5).

Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].

Further simplify the numerator: 3x² - 19x + 25.

Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].

To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:

Find a common denominator for the two fractions.

The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator.

(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)

Combine the fractions by subtracting them.

= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]

Factor the denominator of the resulting expression (if possible).

The denominator 8x(x² - x - 5) is already factored.

Simplify the expression, if possible.

= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]

Combine like terms in the numerator.

= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]

Simplify the numerator further.

= 3x² - 19x + 25 / [8x(x² - x - 5)]

Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].

learn more about expression here

brainly.com/question/34132400

#SPJ2

Pls help I’ll brainlest

Answers

2) G
3) E
4) A
5) E
6) C

A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.

Answers

Multiply. Just multiply the number of squares in the width by the number of squares in the length. So, in this case, 8 times 8, which gets you 64.
The answer to the question is 64

i need help plz help me

Answers

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2*width + 2*length

So

240 = 2w + 2l

120 = w + l

l = 120 - w

(a) Area = w*l

Substituting for l:

A = w(120 - w)

A = 120w - w^2

(b)

Finding the derivative:

A = 120w - w^2

A' = 120 - 2w

For a maximum area A' = 0, so:

120 - 2w = 0

2w = 120

w = 60 yards for maximum area.

(c)

Maximum area

= 120*60 - 60^2

= 3600 yd^2.

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?​

Answers

Answer:

70 + 301 = 371

Step-by-step explanation:

This equation tells the gym

the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20

Answers

Answer:

24/40

Step-by-step explanation:

You can multiply both the numerator and denominator by any number

Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.

Now since we know how to do it I'll just do the math for the rest.

Option 1:

6/10

6*2/10*2

12/20 and that doesn't match so it's wrong.

Option 2:

6/10

6*4/10*4

=

24/40

It matches so it's correct let's try option 4 just to check.

Option 4:

6/10

6*2/10*2

12/20

that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)

Answer: 24/40

how much greater is the volume of the refrigerator than the volume of the top part

Answers

Answer:

volume quantity is hjaj

In grade 6, there are 40 students. There are 8 girls, find the percentage of the boys?

Answers

40 - 8 = 32
Therefore, there are 32 boys

(32/40)*100 = 80

Therefore, percentage of boys = 80%

Answer:

[tex]40 - 8 = 32 \\ \frac{32}{40} \times 100 \\ = 80\%[/tex]

how do i simplify 81^5 = 3x

Answers

Step-by-step explanation:

81/5=3x

x=81×1/5×3

x=81/15

If f(x) = x2 – 2x, find:
f(-3) = [?]

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  f(-3) = (-3)² -2(-3) = 9 +6

  f(-3) = 15

15

Step-by-step explanation:

f(-3)=(-3)^2 - 2(-3)

= 9 + 6 = 15

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