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lianna [129]
3 years ago
11

Please helpppppppppppppppppppppppppppppppppppp

Mathematics
2 answers:
Kay [80]3 years ago
7 0

Answer:

(THIRD/FOURTH QUESTION): 4,000,000/4,096,000,000

Step-by-step explanation:

Third:

10x10x10x10x10= 100,000

100,000x40= 4,000,000

Fourth:

40x40x40x40x40x40= 4,096,000,000

Pani-rosa [81]3 years ago
6 0

Step-by-step explanation:

  • (2×10^8)(2×10^-2)
  • 4×10^8+(-2)
  • 4×10^6

<h3>stay safe healthy and happy.</h3>
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Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model
lidiya [134]

Answer:

B

Step-by-step explanation:

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5 0
3 years ago
Write <br> 108<br> 13<br> as a mixed number.
gayaneshka [121]

Answer:

8 4/13 Is the Correct Answer!

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 108/13, the numerator is 108.

Denominator. This is the number below the fraction line. For 108/13, the denominator is 13.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 108/13 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

108/13= 8.3076923076923 = 8

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (8) and multiply it by the original denominator (13). The result of that multiplication is then subtracted from the original numerator:

108 - (13 x 8) = 4

Step 3: Our mixed fraction

We've now simplified 108/13 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

8  

4

13

Step 4: Simplifying our fraction

In this case, our fraction (4/13) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 13 is 1.

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Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
3 years ago
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
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