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3 years ago

Is 2 squared + 3 squared = 4 squared a true statement? Explain.

Mathematics

2 answers:

kramer3 years ago

8 0

Answer:

It is not true it is false.

Step-by-step explanation:

since 2^2+3^2=4^2

4+9=16

13≠16

Oliga [24]3 years ago

8 0

Step-by-step explanation:

No.

2² + 3² = 4 + 9 = 13.

4² = 16.

13 ≠ 16.

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

Anthony got a new iPhone. He needs to create a 4-digit passcode. How many passcodes can be created if REPETITION OF DIGITS IS AL

Snezhnost [94]

An infinite amount...since there ARE and infinite amount of number in the universe.

1111

2222

3333

4444

5555

6666

7777

8888

9999

1010

1234

4321

5432

2345

5678

8765

0987

7890

4509

9054

Etc

7 0

4 years ago

Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternat

Ghella [55]

Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7

3 0

3 years ago

Please help!! Math | 25 points :)

arlik [135]

Values of the composite function:

$(g\cdot f)(-1)=6$

$(g\cdot f)(0)=7$

$(f\cdot g)(-1)=3$

$(f\cdot g)(4)=2$

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

$(f\cdot g)(x) = f(g(x))$

Which means using the output value of g(x) as input for f(x).

Let's start by computing

$(g\cdot f)(-1)$

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

$(g\cdot f)(-1)=6$

Now we evaluate

$(g\cdot f)(0)$

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

$(g\cdot f)(0)=7$

Now we evaluate

$(f\cdot g)(-1)$

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

$(f\cdot g)(-1)=3$

Finally we evaluate

$(f\cdot g)(4)$

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

$(f\cdot g)(4)=2$

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

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#LearnwithBrainly

6 0

3 years ago

Type this equation in standard form. 8y + 4 = -3x

Nitella [24]

Y = -3/8x+ -2/4 the answer

5 0

3 years ago