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4 years ago

6

Find the equation of the line through the point (7,-6) with the slope -15/13

1 answer:

gayaneshka [121]4 years ago

3 0

Answer:

y + 6 = -15/13(x-7)

Step-by-step explanation:

Substitute m= -15/13 and the point (7,-6) into the point slope form.

y --6 = -15/13 (x - 7)

y + 6 = -15/13(x-7)

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An iceberg weighs 450,000 lb. If it loses 0.2% of its weight during the day, what is its new weight at the end of the day?

JulsSmile [24]

Answer: The weight of the iceberg at the end of the day will be 449,100 lbs.

Step-by-step explanation: The question is solved by first calculating what the loss of weight is during the day. The question indicates that it will lose .2%. In order to calculate the loss you need to multiply 450,000 x .002, which equals 900. Next, we subtract the weight loss from the original weight to determine the end of day weight. 450,000 - 900 = 449,100 lbs.

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3 years ago

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Assume the random variable x is normally distributed with mean u = 90 and standard deviation o=5. Find the indicated probability

Setler79 [48]

<u>Given</u>:

Let the random variable x is normally distributed with mean $\mu=90$ and $\sigma=5$

We need to determine the probability of $P(X$

<u>Probability of </u> $P(X$ <u>:</u>

The formula to determine the value of $P(X$ is given by

$Z=\frac{X-\mu}{\sigma}$

Thus, we have;

$P(X$

Simplifying, we get;

$P(X$

$P(X$

Using the normal distribution table, the value of -2 is given by 0.0228

$P(X$

Thus, the value of $P(X$ is 0.0228

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3 years ago

What is the value of the function at x=−2? (98 points)

Archy [21]

The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.

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3 years ago

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blu

levacccp [35]

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

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3 years ago

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<u>Step 6: Solve for c in the second equation</u>

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

<u>Step 8: Substitute d and c into the first equation</u>

<u /> $28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

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3 years ago

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