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Oxana [17]
3 years ago
8

Solve the equation. 2p + 15 − 11p = 3(5 − 3p)

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

0=0

For the full explanation simply copy and paste your equation to your device browser.

MAXImum [283]3 years ago
5 0

Answer:

2p+15-11p=3(5-3p)

2p-11p+15=15-9p

-9p+9p=15-15

p£R

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The population of a heard of cattle numbered was 5000 to begin with and was 10,000 after 10 years. If the population was growing
Lapatulllka [165]

Answer:

r=0.0718. The closest value from your given choices is C)r=0.69

Step-by-step explanation:

To solve this we are using the standard exponential growth equation:

f(t)=A(1+r)^t

where

f(t) is the final population after t years

A is the initial population

r is the growth rate in decimal form

t is the time in years

We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so A=5000, f(t)=10000, and t=10.

Let's replace the values and solve for r:

f(t)=A(1+r)^t

10000=5000(1+r)^{10}

Divide both sides by 5000

\frac{10000}{5000} =(1+r)^{10}

2=(1+r)^{10}

Take root of 10 to both sides

\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}

\sqrt[10]{2} =1+r

Subtract 1 from both sides

\sqrt[10]{2}-1=r

r=\sqrt[10]{2}-1

r=1.0718-1

r=0.0718

We can conclude that the growth rate of our exponential equation is r=0.0718. The closest value from your given choices is C)r=0.69

3 0
4 years ago
Perform the indicated operation. (8-15i)+(-3+2i)
kkurt [141]
-13i+5           8-3=5 and -15i+2i=13i  so -13i+5 would be the answer.. 



7 0
3 years ago
Read 2 more answers
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone
notsponge [240]

9514 1404 393

Answer:

  4.4 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

For the given dimensions, the volume is ...

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6 0
3 years ago
Please answer question now
shusha [124]

Answer:

90

Step-by-step explanation:

Tangents drawn to a circle from an external point are equal, thus

IH = IJ = 7

ON = OH = 19 - 7 = 12

MN = ML = 26 - 7 = 19

Summing the 4 sides for perimeter (P)

P = 26 + 19 + 7 + 7 + 12 + 19 = 90

6 0
3 years ago
Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)+3 ?
Len [333]

Answer:

The graph of g(x) is the graph of f(x) translated 3 units up.

Step-by-step explanation:

Adding 3 to the function will change its input. It will add 3 units to every output and slide the entire function up three units by translation.

Example: f(x) = x               f(x) + 3 = x+3

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7 0
3 years ago
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