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3 years ago

Whats the simplified version of (3.2) to the 4th power

Mathematics

2 answers:

ella [17]3 years ago

8 0

(3.2)^4= (32/10)^4 = (2^5 / 10)^4 = 2^(5*4) / 10^4 = 2^20 / 10000

hope that helps

Sliva [168]3 years ago

3 0

$(3.2)^4 = (3.2)(3.2)(3.2)(3.2) = 104.8576$

So, 104.8576 is the answer.

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A kite in the shape of a rhombus has diagonals that are 25 in Long and 15 in Long what is the area of the kite

mylen [45]

Answer: 187.5

Step-by-step explanation:

formula for area of a kite is: diagonal 1 times diagonal 2 over 2. plug those numbers in and you’ll get your answer. 25 times 15 / 2.

5 0

3 years ago

Mrs. Gonzales has only $63.50 to spend at a clothing store. She wants to buy a shirt that costs $28, including tax, and some bra

ehidna [41]

Answer:

Mrs. Gonzales can buy a maximum of 7 bracelets.

Step-by-step explanation:

A shirt costs $28 total.

Bracelets cost $4.50 each total.

Mrs. Gonzales has $63.50 in all, assuming she wants to spend all of it.

Set the equation, let bracelets be denoted by the variable, x.

4.50x + 28 = 63.50

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

4.50x + 28 (-28) = 63.50 (-28)

4.50x = 63.50 - 28

4.50x = 35.50

Next, divide 4.50 from both sides of the equation:

(4.50x)/4.50 = (35.50)/4.50

x = 35.50/4.50

x = ~7.89

However, note that you cannot round up, as you are buying. You also cannot buy .89 of a bracelet, so round down.

x = 7

Mrs. Gonzales can buy a maximum of 7 bracelets.

7 0

3 years ago

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VARVARA [1.3K]

Tonis donation is 3 times longer (6 x 3 = 18)

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3 years ago

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Write the equation of the line in fully simplified slope-intercept form.

Sophie [7]

Y = -x + 2
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3 0

3 years ago

Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

brainly.com/question/25630111

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2 years ago