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Sunny_sXe [5.5K]

3 years ago

9

Simplify. (Start 2 By 1 Matrix 1st Row 1st Column 12 2nd Row 1st Column 7 EndMatrix )(Start 2 By 1 Matrix 1st Row 1st Column 12

2nd Row 1st Column 7 EndMatrix )equals nothing

1 answer:

sveticcg [70]3 years ago

3 0

Answer:

Step-by-step explanation:

Check attachment for solution

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if sofia has 40,000 dresses and she needs to put them in 1,000 boxes equally, how many dresses will fit in each box

Margaret [11]

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

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Weights of newborn babies are normally distributed with a mean of 7.452 pounds and

patriot [66]

Answer:

21

Step-by-step explanation:

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3 years ago

3. Solve the system of equations using linear combination. <br><br> a + c = 9<br> 8a + 4.5c = 58

lana66690 [7]

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2 years ago

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Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0

2 years ago

The sum of the first 6 terms of a geometric series is

jekas [21]

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

$S_{6}$ = $\frac{a(5^6-1)}{5-1}$ , so

$\frac{a(15625-1)}{4}$ = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

7 0

2 years ago