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Lina20 [59]
3 years ago
9

Which functions represent exponential growth?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

Y=h(x)

Y=k(h)

Because they are on positive

You might be interested in
Find the measures of the requested angles.
Alex777 [14]

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

3 0
2 years ago
One angle of a triangle measures 36.5 degrees. What is the measure of the smaller angle?
Sunny_sXe [5.5K]

The final answer would depend in the type of triangle we are analyzing, however here are the possible outcomes:

1.) If it was a right triangle, 36.5 would be the smaller angle.

2.) It cannot be an equilateral triangle since all angles would be 60°.

3.) In a isosceles triangle, 36.5° would be the smaller, since the others would be 72°.

4.) In an scalene triangle it cannot be determined unless we had 2 angles since in that kind of triangle all angles can be different.

5.) In an acute triangle, 36.5° would be the smaller angle.

6.) In an obtuse triangle it cannot be determined unless we had 2 angles, since it can have highly acute angles.

7 0
3 years ago
Read 2 more answers
Order the side lengths from least to greatest
Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 -  135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

             = 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

7 0
3 years ago
Eric and Mark were at a ball game and visited the concession stand. They each got a hamburger, and Mark got lemonade and some co
EastWind [94]
So here is the answer. Given that both Eric and Mark got a hamburger which is $4 each. Mark got a lemonade and some cotton candy which costs $5. 
So this gives them a total of $4, $4, $5, $?(lemonade). Partial sum is $13 without the lemonade. Since Eric got a $2, the total bill was deducted with $2 and the rest of the amount is $14.50. Therefore, the total bill would have been $16.50. So $16.50 minus $13 (partial sum) is $3.50. So the lemonade costs $3.50. Hope this helps.
3 0
3 years ago
In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hir
Ede4ka [16]

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}= p

The standard deviation of this sampling distribution of sample proportion is:

 \sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

(a)

The sample selected is of size <em>n</em> = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204

So, the sampling distribution of sample proportion is \hat p\sim N(0.75,0.0204^{2}).

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

P(p-0.04

                                          =P(-1.96

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size <em>n</em> = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306

So, the sampling distribution of sample proportion is \hat p\sim N(0.75,0.0306^{2}).

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

P(p-0.04

                                          =P(-1.31

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

6 0
3 years ago
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