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Answer:

A

Step-by-step explanation:

[tex]a^x = b \\log_a(b) = x[/tex]

Answer:

B

Step-by-step explanation:

The hight compared to the volume should be less hight but more volume

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Surface area is the sum of the areas of all the surfaces of a 3D figure

An area is the amount of space occupied by a two dimensional (has length and width) shape or object.

A three dimensional shape is a shape with length, width and height. Surface area is the sum of the areas of all the surfaces of a 3D figure

Find out more on area at: https://brainly.com/question/25292087

Answer:

2012 - 9 = 2003

Step-by-step explanation:

2011. (2012 - 9 = 2003). 2013

2015 ( 2012 - 0 = 2012 )

Answer:

8.2013

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3x+20 = 10x -15 (vert.opp ∠'s equal)

3x - 10x = - 15 - 20

-7x = -35

x= - 35/-7

x= 5

Answer:

we need the mesurmwnt of the prismms dude

Step-by-step explanation:

Answer:

a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%

Step-by-step explanation:

9514 1404 393

Answer:

  53/99

Step-by-step explanation:

When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.

  [tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]

__

If the repeat does not start at the decimal point, the conversion can be done as follows.

For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).

The fraction will be ...

  (x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction

Here, that looks like ...

  [tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]

Answer:

Step-by-step explanation:

1) B=8cm                          H=5.5

A=1/2xbxh

A=I/2 x 8 x 5.5

A=22

The area of the first traingle is 22cm

2)

B=12cm                                 h=8.4

A=1/2xbxh

A=1/2 x 12 x 8.4

A=50.4

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Answer:

The answer is D

Step-by-step explanation:

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Answer:

$36991

Step-by-step explanation:

C = 2.32N + 34180

120000 = 2.32N + 34180

85820 = 2.32N

N = 85820/2.32

N = 36991

Answer: $36991

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values

[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

Answer:

B, 17

Step-by-step explanation:

The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.

Answer:

1.5 kg

Step-by-step explanation:

17*92 g = 1564

1564/1000= 1.564 kg

Answer:

1.75kg

Step-by-step explanation:

If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much

17 x 92 = 1564

1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg

Step-by-step explanation:

put some x values into the equation

i.e :     -2, -1, 0 ,1 ,2

3/5 (-2) +2 = 4/5      (-2, 4/5)

3/5 (-1) +2 = 7/5        (-1, 7/5)

3/5 (0) +2 = 2           (0, 2)

3/5 (1) +2 = 2.6           (1, 2.6)

3/5 (2) +2= 3.2          (2, 3.2)

Then plot these on the graph as corodinates with the x values  

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,

∠BAC + y + z = 180°          ...1

The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,

∠BAC + x = 180°        ...2

From equations 1 and 2, then we have

∠BAC + y + z = ∠BAC + x

y + z = x

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

15,000

Step-by-step explanation:

initial amount is basically the starting amount

Answer:

PQ = 29

Step-by-step explanation:

Lengths of the two tangents from a external point to the circle is equal

14x - 13 = 8x + 5  {add 13 to both sides}

    14x = 8x + 5 + 13

   14x  = 8x + 18

14x - 8x = 18

      6x =  18

       x = 18/6

x = 3

PQ = 14*3 - 13

      = 42 - 13

     =  29

Answer:

PQ = 29

Step-by-step explanation:

As we know that,

[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.

We've been asked to find out PQ;

Thus,

Answer: 1

Step-by-step explanation:

Rule of thumb:

Anything to the POWER OF 0 will Always be 1

12^0=1

Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24          

x = 12              (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17      

y = 5                (Subtract 12 from both sides)

So, the smaller number is 5.