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kvasek [131]
2 years ago
6

Find m<1 (Picture included)

Mathematics
1 answer:
Allushta [10]2 years ago
4 0

Answer:

m<1 =30

Step-by-step explanation:

< 1 + 117 + 33 = 180 \\   < 1 + 150 = 180 \\  < 1 = 180 - 150 \\  < 1= 30

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The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percen
Sholpan [36]

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

P_n=P_0(1+r)^{n}

Where P_n = final population

P_0 = Initial population

r = percentage growth

Now we substitute these values in the formula,

7921=7547(1+r)^1

\frac{7921}{7547}=(1+r)

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

4 0
3 years ago
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h
Mama L [17]

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

<u>Juan</u>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

<u>Mark</u>

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

<h3><u>The shortest and the greatest distance before hitting the ground</u></h3>

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

Read more about quadratic functions at:

brainly.com/question/12446886

#SPJ1

4 0
2 years ago
PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was marrie
marusya05 [52]

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

5 0
3 years ago
Read 2 more answers
Simplify the expressions:
miv72 [106K]

Answer:

1. -9w-15

2. 15w+13

3. -23

6 0
2 years ago
The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?
goblinko [34]
160/32= 5

5*5= 25 mm

25 mm <em>is how many millimeters represents the kilometers.
</em>

I hope this helps!
~kaikers
7 0
3 years ago
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