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2 years ago

If v varies directly as w, and v=24 when w= 8, find the equation that relates v and w

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

v=3w

Step-by-step explanation:

v∝w

v=kw

24=8k

k=24/8 = 3

equation connecting v and w is

v=3w

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The area of a rhombus is 72 m2. One diagonal is 18m. Find the other diagonal.

miskamm [114]

Answer:

Other diagonal is 8 m

Step-by-step explanation:

area of rhombus = 72 m²

½ × diagonal 1 × diagonal 2 = 72

½ × 18 × d2 = 72

9 × d2 = 72

d2 = 72/9

d2 = 8

7 0

1 year ago

PLEASE HELP ME FAST!!!! ( It's about y-intercept)

Hoochie [10]

Answer:

y = 6x -7

Step-by-step explanation:

1. The equation of any line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Given that the slope is 6, we plug that value in m, and given that the y-intercept is -7, we plug that value in b:

y = mx + b
y = 6x - 7

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2 years ago

If the equation of a circle is (x - 2)2 + (y-6)2 = 4, it passes through point

san4es73 [151]

(x - 2)² + (y - 6)² = 4

You can be certain about one thing just by looking at the equation (2, 6) is the center, so, obviously the circle isnt going through this point

Since the radius is 2 if we don't move from y = 6 we have points in (0, 6) and (4, 6)

So alternative b.

To be more certain just subs the point in the x and y, if its equal, it pass through

(x - 2)² + (y - 6)² = 4

To point (4, 6)

(4 - 2)² + (6 - 6)² = 4

(2²) + 0² = 4

4 = 4

Thats right

4 0

2 years ago

Mark brainlist ..ajdgaoruw

Anastasy [175]

Yesyesyesyesyesyesyesyesyesyesyes

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2 years ago

Wholemark is an internet order business that sells one popular New Year greeting card once a year. The cost of the paper on the

erma4kov [3.2K]

Answer:

The optimal production quantity is 9,322 cards.

Step-by-step explanation:

The information provided is:

Cost of the paper = $0.05 per card

Cost of printing = $0.15 per card

Selling price = $2.15 per card

Number of region (n) = 4

Mean demand = 2000

Standard deviation = 500

Compute the total cost per card as follows:

Total cost per card = Cost of the paper + Cost of printing

= $0.05 + $0.15

= $0.20

Compute the total demand as follows:

Total demand = Mean × n

= 2000 × 4

= 8000

Compute the standard deviation of total demand as follows:

$SD_{\text{total demand}}=\sqrt{500^{2}\times 4}=1000$

Compute the profit earned per card as follows:

Profit = Selling Price - Total Cost Price

= $2.15 - $0.20

= $1.95

The loss incurred per card is:

Loss = Total Cost Price = $0.20

Compute the optimal probability as follows:

$\text{Optimal probability}=\frac{\text{Profit}}{\text{Profit+Loss}}$

$=\frac{1.95}{1.95+0.20}\\\\=\frac{1.95}{2.15}\\\\=0.9069767\\\\\approx 0.907$

Use Excel's NORMSINV{0.907} function to find the Z-score.

z = 1.322

Compute the optimal production quantity for the card as follows:

$\text{Optimal Production Quantity}=\text{Total Demand}+(z\times SD_{\text{total demand}}) \\$

$=8000+(1.322\times 1000)\\=8000+1322\\=9322$

Thus, the optimal production quantity is 9,322 cards.

8 0

2 years ago