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3 years ago

Write an exponential growth function. Explain why your function represents exponential growth.

1 answer:

8 0

Compare that with what we would have with a linear increase (2%): ... Now we shall examine the differences displayed with the functions in our example ... An exponential function with a > 0 and b > 1, like the one above, represents an .... Overview · Writing linear equations using the slope-intercept form · Writing linear.

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Find sin 2x, cos 2x, and tan 2x from the given information.<br> cscx=4,tanx<0.

lutik1710 [3]

Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

sinx = 1/4

From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

opposite = 1 and hypotenuse = 4

to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

cos2x = 7/8

for tan2x;

tan2x = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

tan2x = (-2/√15)/(14/15)

tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x = -30/7√15 * √15/√15

tan2x = -30√15/7*15

tan2x = -2√15/7

5 0

3 years ago

Guys please help i'm stup!d

Nataly [62]

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

In this case we have the set of 20 points described above, then the mean is:

$M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37$

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

5 0

3 years ago

What is AD/AB in simplest form

lys-0071 [83]

Idk sorry I’m stuck in an iready lessssssooooooonnnn. Ahahahahah

6 0

3 years ago

Of the 52 cards in the deck, four are aces and others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has

VLD [36.1K]

Answer:

64 different black jack hands

Step-by-step explanation:

there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.

Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:

possibility of getting 1 ace = 4/52 = 1/13

possibility of getting 1 ten = 16/51

possibility of getting a blackjack = 16 / 663

if you start with the 10 first the odds are the same:

possibility of getting 1 ten = 16/52 = 4/13

possibility of getting 1 ace = 4/51

possibility of getting a blackjack = 16 / 663

5 0

3 years ago

In Justin's school, 0.825 of the students participate in a sport. If there are one thousand students in Justin's school, how man

Oksi-84 [34.3K]

Answer:

Okay I’m confused because there is no decimals in the answer, but the answer is 825. I guess you can put 825.00 if you want.

Step-by-step explanation:

Multiply 0.825 and 1000 together to get the answer

4 0

3 years ago