Compute using long division: 9,876 divided by 123

The true statements about column vector from the list are the product a.*b^2, a'*b, a.*b and a'.*b gives error and a.*b' is equal to a'.*b that is all are true.

The product a.*b^2 gives an error because the element-wise product requires that the two operands have the same size. In this case, a and b^2 do not have the same size, so an error is produced.

The product a'*b gives an error because the matrix product requires that the number of columns in the first operand (a') is equal to the number of rows in the second operand (b). In this case, a' and b do not have compatible dimensions, so an error is produced.

The product a'.*b' gives an error because the element-wise product requires that the two operands have the same size. In this case, a' and b' do not have the same size, so an error is produced.

The product a.*b' is equal to a'.*b because the element-wise product is commutative, meaning that the order of the operands does not matter. In this case, a.*b' is equivalent to b'.*a, which is equal.

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Answer:

11 hrs 1 min (i think so based on math)

Step-by-step explanation:

If Johnna's reading rate is 150 words per min and there are 364 pages with about 275 words, you need to multiply 364 and 275 to get 100100 and divide that by 150 to get 667.3333333 round to the nearest tenth which will give you 667.3 and divide that by 60 because there are 60 minutes in an hour to get 11.12222222 and round that to the nearest tenth to get 11.1 which means it will take Johnna 11 hours and 1 minute to read the book.  I hope this is correct I'm really sorry if it isn't. :P

Angle NOM = 59° because it is vertically opposite angle POQ

Angle STU = 96°

The theorem of triangles refers to various mathematical statements or propositions that describe relationships between the sides and angles of a triangle.  These theorems have various applications in fields such as mathematics, physics, engineering, and computer graphics.

In question 1; Angle NOM = 59° because it is vertically opposite angle POQ

In question 2; Angle UVT = Angle VUT = 42°

Angle UTV = 180 - 2(42)

= 96°

Then;

Angle STU = 96° (The exterior angle of the triangle is equal to the sum of two opposite interior angles).

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Answer:

$30.76

Step-by-step explanation:

Subtract the costs of her purchases from her total of 50:

50 - (14.99 + 3(4) + 2.25)

50 - (14.99 + 12 + 2.25)

50 - 29.24

= 20.76

Now, add the $10 that she found to this:

20.76 + 10

= 30.76

So, when she left the store, Lucy had $30.76

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

Answer:

  n = 27

  m = 36

Step-by-step explanation:

The isosceles triangle with n° as its base angle will have a sum of angles that is 180°.

  2n° +126° = 180°

  n +63 = 90 . . . . . . divide by 2°

  n = 27 . . . . . . . . . subtract 63

__

The external angle 126° is the sum of the remote interior angles m° and 90°.

  m° +90° = 126°

  m = 36 . . . . . . . . . . divide by °, subtract 90

Answer:

well you would have to draw two pizzas or circles

Step-by-step explanation:

what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!

Answer:

yup your answer is correct

Step-by-step explanation:

xhfdgkdhkchkdgjdgkfkyfgkfhg

Answer:

it's correct and i'm 13

if u add the whole numbers first which is 3+6 which equals 9 and then u add 1/7 + 4/7 which will give you 5/7. So the whole answer will be what you said 9 5/7

Answer:

1+80÷5

1+16

17

Step-by-step explanation:

please mark me as brainlest

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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7 men should be able to dig 21 wells in approximately 4.7 days.

From the question, we have the following parameters that can be used in our computation:

We can use the formula:

Number of days = (number of wells * number of days per well) / number of men.

So, we have

Number of days per well for 2 men:

11 days / 7 wells = 1.5714 days per well.

Using the above as a guide, we have the following:

the number of days for 7 men to dig 21 wells:

21 wells * 1.5714 days per well / 7 men = 4.7142days.

Hence, the number of days is 4.7 days.

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Answer:

x = 8

Step-by-step explanation:

average is calculated as

average = \(\frac{sum}{count}\)

given daily average is 13 , then

\(\frac{x+x+5+x+3+x+12}{4}\) = 13 ( multiply both sides by 4 to clear the fraction )

4x + 20 = 52 ( subtract 20 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Answer: Group 12

Step-by-step explanation: The element is Mercury.

Answer:

The first answer is 14 marbles.

The second answer is 4 marbles.

Step-by-step explanation:

1. Add as many marbles needed to Carter's pile to match the amount of marbles with Sani's amount to get both amounts to be even.

2. The number of marbles you moved to Carter's pile to make both amounts even is the answer to the second question.

Answer: both boys started with 14 marbles sani’s sister took 4 marbles and gave them to carter

Step-by-step explanation:

If they started with the same amount then sanis sister took some and gave them to carter and made it to where sani now has 18 and carter has 10 it’s simple math.

10 to 18 is 8 in between so split 8 in half and you get 4 so you count down 4 from 18 and you get 14.

There for both boys started with 14 marbles.

Answer:

25/9 or 2 7/9

Step-by-step explanation:

5-2 2/9

5-20/9

45/9-20/9

25/9

2 7/9

Answer:

25/9 or.. 2 7/9

Step-by-step explanation:

hope this helped!!<3

Answer:

Angle T = 43°

Step-by-step explanation:

118+118+81 = 317

360-317 = 43

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

Answer:

3

2

Step-by-step explanation:

The angles are matches as;

a. 65 degrees

b. 62 degrees

c. 33 degrees

d. 38 degrees

First, we need to know the properties of a triangle.

These properties are given as;

Then, we have from the information given that;

1. x + 28 + 87 = 180

collect the like terms, we have;

x = 180 - 115

x = 65 degrees

2. x + 16 + 102 = 180

collect like terms

x = 180 - 118

x = 62 degrees

3.  x + 96 + 51 = 180

collect like terms

x = 180 - 147 = 33 degrees

4. x + 119 + 23 = 180

x = 38 degrees

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For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

Evaluating the function \(f(x)=2x^2\) for the first five positive integers of \(x\):

\(f(1)=2(1)^2=2(1)=2\)

\(f(2)=2(2)^2=2(4)=8\)

\(f(3)=2(3)^2=2(9)=18\)

\(f(4)=2(4)^2=2(16)=32\)

\(f(5)=2(5)^2=2(25)=50\)

Sawyer is 9 yrs old and his sister is 3 yrs old

hope it really helps...

Answer:

A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4

Multiply numerator and denominator by (1 - √5)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

point (3 , 0)

slope = 5/3

Step 02:

equation of the line:

(y - y1) = m (x - x1)

(y - 0) = 5/3 (x - 3)

Slope-intercept form of the line

y = mx + b = 5/3 x - 5

The answer is:

y = 5/3 x - 5