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Olenka [21]
3 years ago
14

The population of a certain type of seahorse grew by 13% from year to year.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer:  Exponential function

Step-by-step explanation:

A linear function is the formf(x)=mx+c , where m is the constant rate of change of y with respect to x and c is the y-intercept.

An exponential growth function is in the form f(x)=A(1+r)^x, where r is the rate of growth (generally in percent) and A is initial value.

If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .

Hence it is an exponential equation.

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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​
seropon [69]

Answer:

The slope remains a constant m=\frac{5}{3} as it is parallel.

Explanation:

1. Line Q is defined as a slope of \frac{5}{3}; i.e. y=\frac{5}{3}

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0
3 years ago
What percentage of babies born in the United States are classified as having a low birthweight (<2500g)? explain how you got
lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

<u>The complete question is</u>: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = <u><em>birth weights of newborn babies</em></u>

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 3,500 g

            \sigma = standard deviation = 500 g

So, X ~ N(\mu=3500, \sigma^{2} = 500)

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

         

   P(X < 2500 mg) = P( \frac{X-\mu}{\sigma} < \frac{2500-3500}{500} ) = P(Z < -2) = 1 - P(Z \leq 2)

                                                                 = 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0
4 years ago
Determine the value of x, using the following transversal. The value of x is
madam [21]

Answer:

  • x = -10

Step-by-step explanation:

  • x + 75 + x + 125 = 180 as supplementary (same side interior angles)
  • 2x + 200 = 180
  • 2x = -20
  • x = -10
3 0
3 years ago
Read 2 more answers
A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

5 0
4 years ago
My favorite recipe for lemonade calls for 4 cups of water to 3/4 cups sugar. How
Nikolay [14]

Answer and Step-by-step explanation:

To find the unit rate, divide the 4 cups of water and the \frac{3}{4} cups sugar by 4 to get a unite rate for 1 cut of water.

<u>4 divided by 4 equals 1.</u>

<u />

<u />\frac{3}{4}<u> divided by 4 equals </u>\frac{3}{16}<u>.</u>

<u />

<u>Now, we multiply </u>\frac{3}{16}<u> by 6.</u>

<u></u>\frac{9}{8}<u> is how many cups of sugar that needs to be measured for 6 cups of water.</u>

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

8 0
3 years ago
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