BRANILIEST ANSWER GETS PICKED!

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mars1129 [50]

Answer:

$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

3 0

3 years ago

Read 2 more answers

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring every 100 feet of material.

Naily [24]

Answer:

b. Binomial distribution.

Step-by-step explanation:

As a manufacturer is interested in the number of blemishes or flaws occurring every 100 feet of material which shows that only two possible outcomes with fixed number of trials are present here, so the probability distribution that has the greatest chance of applying to this situation is a binomial distribution that summarizes the possibility that a value will take one of two independent values under a provided set of parameters.

5 0

3 years ago

Moussa is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $0.75 per

diamong [38]

Answer:

$4.25

Step-by-step explanation:

.75 x 3 +2 +4.25

8 0

2 years ago

Oliver has a piece of chocolate. What is the volume of the piece of chocolate?

Ira Lisetskai [31]

Answer:

60 cubic centimeters

Step-by-step explanation:

$3 * 4 * 5 = 60$

6 0

2 years ago

Read 2 more answers

Which exponent makes this statement true? 1/5^9= 5^?

Aleks04 [339]

Answer:

The exponent -9 makes the given statement true.

Step-by-step explanation:

We have been given an incomplete mathematical statement and we need to figure out the exponent for 5 on the right hand side to complete the statement.

The given incomplete statement is $\frac{1}{5^{9}}=5^{?}$ .

Let us rewrite the left hand side of the expression by moving the exponential term to the numerator using exponent property. As per this property, if we shift an exponential term from denominator to numerator (or vice versa), the sign of exponent changes.

Therefore, we get:

$5^{-9}=5^{?}$

Now that we have common bases on both the sides, we can equate the exponents. And upon equating the exponents, we can see that the 'question mark' should be replaced by -9 in order for statement to be true.

Therefore, exponent -9 on the right hand side will make the statement true.

5 0

2 years ago