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gladu [14]
3 years ago
11

Through observation and surveys, Dr. Thompson was able to determine how much time a sample of children spent playing outside. Wh

at type of research is this
Mathematics
1 answer:
aivan3 [116]3 years ago
7 0

The type of research that's illustrated in this case is a descriptive study.

<h3>What is a descriptive study?</h3>

Descriptive study simply means a study where information is collected without changing the environment.

Since Dr. Thompson was able to determine how much time a sample of children spent playing outside, this is a descriptive study.

Learn more about researches on:

brainly.com/question/25257437

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F(x) = 9 + 4x f(0) = f(-1) = Find the value of x for which f(x) =6 x=
puteri [66]

Answer: x=-3/4

Step-by-step explanation:

Since we know f(x)=6, we can set it equal to the equation.

6=9+4x           [subtract 9 on both sides]

-3=4x              [divide both sides by 4]

x=-3/4

8 0
3 years ago
A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 p
Rudiy27

Answer:

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

A.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is 59000+1700(0)

= 59000

when it is year 2005, the population is 59000+1700(2)

= 62400

B.

The town's population in 2007 will be :

(2007-2003=4)

59000+1700(4)

Population = 65800

C.

59000+1700x=77700

=> 1700x=18700

x = 11

Means 2003+11=2014

Hence, by year 2014 the population will be 77700.

5 0
3 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?​
Tatiana [17]

high length:6mletngh of shadow =2~3mø is angle ofelevation

Step-by-step explanation:

hope it helps

8 0
3 years ago
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