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3 years ago

Which of the following is an increasing exponential function whose y-intercept is 50?

1 answer:

8 0

Y=50(1.4)*

Equations 1,3,4 are exponential (the 2nd isn’t so it’s out)

Y intercept means x is set at 0 so start testing
For y=2*+50 when x=0 y=1+50=51
(Any number raised to a 0 exponent is 1)
For y=50(1.4)* y=50(1) so y=50 and that is what you are looking for

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The ratio of the lengths of the two legs of a right triangle is 3:4

Snowcat [4.5K]

Greetings from Brasil...

Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

Note that according to the attached figure, b > a, then the correct proportion will be a to 3, as well as b to 4, because b > a and 4 > 3

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

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2 years ago

pedro earned gross income of 35200 last year. if he took the standard deduction of 5450 and one exemption of 3500, what was his

Elenna [48]

Answer:

33250

Step-by-step explanation:

Pedro had earned a gross income of 35200 last year.

So, the gross income of Pedro for the current year will also be 35200.

But, this year he has taken the standard deduction of 5450.

Hence, his current year's income will be reduced to (35200-5450)= 29750.

Again, in the current year, he got an exemption of 3500.

Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)

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3 years ago

I have 54 oranges. I give 28 away and saved 5 for my family. How many oranges do I have?

ratelena [41]

Answer:

Either 26 or 21 depending on if you count the saved oranges or not.

Step-by-step explanation:

54 - 28 = 26

54 - 28 - 5 = 21

6 0

3 years ago

Read 2 more answers

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish

Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

μ = population mean = 11 lb

s = population standard deviation = 6

n = sample size = 4

1st: Calculating for z when x = 8.6 lb

z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

Probability (x = 8.6 lb) = 0.2119

2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

Probability (x = 14.6 lb) = 0.8849

Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x ≤ 14.6 ) = 0.673 (ANSWER)

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3 years ago

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3 years ago