Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

Answer:

The answer is C.

:)

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer:

X=1

Step-by-step explanation:

I took the k12 test and got it right

have a good life =D

Answer:

t = 0.7 h

The time he rode at a slower speed is 1.2 h

Step-by-step explanation:

-The question involves algebra, to find the time the distance formula is used involving the values ​​of distance, time and speed.

- distance = speed 1 * time 1 + speed 2 * time 2

If Oscar traveled for t minutes at 9mph and it took him 15 minutes longer than when he traveled at 16mph it means that:

speed 1 * time 1 + 30 minutes.

But 30 minutes converted to hours is 0.5 hours

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9t + 4.5 + 16t

17.5 = 25t

17.5 / 25 = t

The answer is: t = 0.7

Checking the value in the equation:

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9 * (0.7 + 0.5) + 16 * 0.7

22 = 9 * 1.2 + 11.2

22 = 10.8 + 11.2

22 = 22

Answer:

x = -34 , y = 31

Step-by-step explanation suing Gaussian elimination:

Solve the following system:

{2 x + 3 y = 25

3 x + 4 y = 22

Express the system in matrix form:

(2 | 3

3 | 4)(x

y) = (25

22)

Write the system in augmented matrix form and use Gaussian elimination:

(2 | 3 | 25

3 | 4 | 22)

Swap row 1 with row 2:

(3 | 4 | 22

2 | 3 | 25)

Subtract 2/3 × (row 1) from row 2:

(3 | 4 | 22

0 | 1/3 | 31/3)

Multiply row 2 by 3:

(3 | 4 | 22

0 | 1 | 31)

Subtract 4 × (row 2) from row 1:

(3 | 0 | -102

0 | 1 | 31)

Divide row 1 by 3:

(1 | 0 | -34

0 | 1 | 31)

Collect results:

Answer: {x = -34 , y = 31

Answer:

B {6, 6, 7}

Step-by-step explanation:

Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}

For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;

Let the side be ;

x, y and z

Then:

x > (y + z) or

y > (x + z) or

z > (x + y)

For A{2,5,9}

(2 + 5) < 9 (does not meet criteria)

For B {6,6,7}

(6 +6) > 7

(7 +6) > 6

Meets all criteria

For C {6,4,2}

(4 +2) is not greater Than 6 (does not meet criteria)

For D {7,8,1}

(7 +1) is not greater Than 8 ( does not meet criteria)

Answer:

Step-by-step explanation:

5(-3)^2 - 2

5(9) - 2

45 - 2 = 43

Answer:

[tex]\sqrt{4}, \ \sqrt{9} \text{ are rational numbers.}[/tex]

Step-by-step explanation:

Hello,

[tex]\sqrt{n^2}=n \ for \ n\geq 0\\\\\text{For instance}\\\\\sqrt{2^2}=2=\sqrt{4}\\\\\sqrt{3^2}=3=\sqrt{9}[/tex]

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

3+4+9=9+3+4=4+9+3 etc

Answer: Pick anyone that suits you

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{Eight \ subtracted \ from \ the \ product \ of \ three \ and \ a \ number.}}[/tex]

Step-by-step explanation:

[tex]\sf 3n-8[/tex]

n is a number.

8 is subtracted from the product of 3 and a number.

The verbal expression would be :

Eight subtracted from the product of three and a number.

Answer:

approximately 26.7 million

Step-by-step explanation:

Let x be the number of cruise passengers in 2017.

6.7% increase of x gives us 28.5 m cruise passengers in 2018.

Thus, 106.7 % of x = 28.5

[tex] \frac{106.7}{100} * x = 28.5 [/tex]

[tex] \frac{106.7x}{100} = 28.5 [/tex]

Multiply both sides by 100

[tex] \frac{106.7x}{100} * 100 = 28.5*100 [/tex]

[tex] 106.7x = 2850 [/tex]

Divide both sides by 106.7

[tex] \frac{106.7x}{106.7} = \frac{2850}{106.7} [/tex]

[tex] x = 26.7 [/tex] (approximated)

Number of passengers in 2017 must have been approximately 26.7 million

The value of k = 20.

We have the following expression -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

We have to find the value of K.

We have -

[tex]$log(2)^{z} = \pi[/tex]

z x log(2) = π

z = [tex]$\frac{\pi }{log\;2}[/tex]

z = 10.43

According to the question, we have -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100

4(k - 5) + k = 100

4k - 20 + k = 100

6k = 120

k = 20

Hence, the value of k = 20

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Answer:

15+(-37)

initial 15

fell 37 so -37

Answer:

B, or the one labeled 15 + (-37)

Step-by-step explanation:

It starts with 15 degrees F, which is positive.

Then, you'd add -37 degrees.

Adding -37 degrees to 15 is the same as subtracting 37 from 15.

Good luck mate :)

Answer:

D. 327.25

Step-by-step explanation:

You start out with a gross pay of $415.00. When you have a deduction from your gross pay, it means it gets subtracted. So subtract the deductions of 48, 31.25, and 8.50 from 415 and it leaves you with 327.25.

415 48-31.25-8.50 = 327.25

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(0, 4), T(-6, -3)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

  a = 3x^2 +9x

Step-by-step explanation:

Put the given dimensions in the formula and simplify. The distributive property is useful.

  a = (1/2)bh

  a = (1/2)(6x)(x+3) = 3x(x +3)

  a = 3x^2 +9x

Answer:

[tex]x>-5/2[/tex]

Step-by-step explanation:

So we have:

[tex]8x+3>4(\frac{1}{2}x-3)[/tex]

First, distribute the right:

[tex]8x+3>2x-12[/tex]

Subtract 2x from both sides:

[tex]6x+3>-12[/tex]

Subtract 3 from both sides:

[tex]6x>-15[/tex]

Divide everything by 6:

[tex]x>-15/6[/tex]

Reduce:

[tex]x>-5/2[/tex]

And this is our answer :)

Answer:

50

Step-by-step explanation:

8 + 10a - 3 + 5a   when a=3

8+10(3)-3+5(3)=

8+30-3+15=

38+15-3=50

Answer: 11 9/35

Step-by-step explanation: just add the whole number to the fraction.

Answer & Step-by-step explanation:

[tex]11+\frac{9}{35}[/tex]

Add the whole number to the fraction:

[tex]11 \frac{9}{35}[/tex]

:Done

Answer:

  (A, B, C) = (8, 17, 23) inches

Step-by-step explanation:

We can let A, B, and C represent the corresponding side lengths. Then we are given ...

  A + B + C = 48 . . . . . . the perimeter is 48 inches

  B = A + 9 . . . . . . . . . . . B is 9 inches longer than A

  C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...

Substituting for B and C in the first equation, we have ...

  A + (A+9) +(2A+7) = 48

  4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16

  A = 8

  B = A+9 = 17

  C = 2A +7 = 23

Side A is 8 inches, side B is 17 inches, and side C is 23 inches.

Answer:

-8 degrees

Step-by-step explanation:

4-12 = -8

It dropped 12 degrees in 7 hours.

Answer: -8°

Step-by-step explanation:

4 - 12

One example is the idea of two parts of a book that open up. Each flat part is a plane and the two planes intersect along the spine of the book.

Another example would be a wall intersecting with the floor. Both are flat surfaces.

A third example would be a laptop's screen as one plane and the keyboard as the other plane. They intersect at the hinge of the laptop.

For each example, the surface has a finite amount of area and it doesn't extend forever in all four directions. Theoretically, a plane is where the flat surface extends in all four directions infinitely. Though of course, real life has limitations but the idea is still applicable in a way.

Note how for each example, the two planes intersect to form a line. Also, each plane must be flat without bending or curving in any way.

Answer:

17 ft

Step-by-step explanation:

the area of a square is length x length, or [tex]length^{2}[/tex]

so, since you already have the area, do the opposite of squaring it, which is finding the square root.

[tex]\sqrt{289}[/tex] = 17

The length of each side of a square is   [tex]17 feet[/tex]  whose area is  [tex]289 ft sq[/tex]. (mentioned in the question).

A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.

We know that the

area of the square = [tex]side \times side[/tex]

[tex]289 ft sq[/tex]     [tex]= side \times side[/tex]

[tex]289 = (side) ^2[/tex]

[tex]\sqrt{289 } = side[/tex]

[tex]17 = side[/tex]

Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex]  .

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Answer:

X₁=7 ,X₂ = 5

Step-by-step explanation:

a= 1²  b= - 12   c= 35

X =[ ( -b±√b²-4ac ) / 2a]

So, use this formula and get the answer...

   Even if you use the middle term formula, you will get the same answer

Answer:

B

Good luck in Geometry my guy!

Answer:

Options (B) and (C)

Step-by-step explanation:

We have to form a function which has following characteristics,

1). Its range is all real numbers

 Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).

It's a typical characteristic of odd degree polynomial/function.

2). The graph has exactly two x-intercepts.

  Which means when we put f(x) = 0, we get exactly two values of x.

Therefore, function will be, f(x) = x³ + x²

Range of the function → (-∞, ∞) Or a set of all real numbers.

x-intercepts → f(x) = x³ + x² = 0

                             x²(x + 1) = 0

                             x = -1, 0

Therefore, Options (B) and (C) will be the answer.

Answer: 11 stamps per page

Step-by-step explanation: 132 divided by 12

Answer:

10

Step-by-step explanation:

Mathematical Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Therefore: [tex]\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}[/tex]

Which = 10

Answer:

2 works

-3 is extraneous

Step-by-step explanation:

sqrt(x + 7) - 1 = x                      Add 1 to both sides

sqrt(x + 7) = x + 1                     Square both sides

(x + 7) = (x + 1 )^2

x + 7 = x^2 + 2x + 1                Subtract x from both sides

0 = x^2 + x + 1 -7                    

0 = x^2 + x - 6                        This will factor

(x + 3)(x - 2)  = 0                      Find the values for x

x + 3 = 0

x = - 3

x - 2 = 0

x = 2

Now you must check this to see if both values work

sqrt(-3 + 7)  - 1 = -3

sqrt(4) - 1 = -3

2 - 1 =? - 3

1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2

sqrt(2 + 7) - 1 = 2

sqrt(9) - 1 = 2

3 - 1 = 2

2 = 2

Answer:

A is 1.6 and ion the other ones