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MAVERICK [17]
2 years ago
10

Which expression has a value of 3?

Mathematics
1 answer:
Marina86 [1]2 years ago
6 0

Step-by-step explanation:

3(4 *to the power of 2* - 3*to the power of 2*)

  • 3(4²-3²)
  • 3(16-9)
  • 3(7)
  • 21

24-23 x 3

  • 24-23×3
  • 24-69
  • -45

3*to the power of 3* - 3*to the power of 2

  • 3³-3²
  • 9-6
  • 3

(6*to the power of 2* - 3) (9*to the power of 2* - 70)

  • (6²-3)(9²-70)
  • (36-3)(81-70)
  • (33)(11)
  • 363

Hence, Option d. is the correct answer because it gives answer 3 when it is solved.

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Simplify (-2x^4y^-3)^4
elixir [45]

Answer:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

Step-by-step explanation:

We want to simplify:

( - 2 {x}^{4} {y}^{ - 3} )^{4}

We need to apply the exponential property for products of powers.

Recall that:

( {a}^{m}  \times  {a}^{n} )^{p}  =  {a}^{mp}  \times  {a}^{np}

We apply this rule to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = ( { - 2)}^{4} x \times {x}^{16}  \times {y}^{ - 12}

This simplifies to:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = 16 {x}^{16}  \times {y}^{ - 12}

We rewrite as positive index to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

7 0
3 years ago
A newspaper reported that 4040​% of people say that some coffee shops are overpriced. The source of this information was a telep
vampirchik [111]

Answer:

a. Identify the population of interest in this study.

  • all the population of the country

b. Identify the sample for the study.

  • 50 adults (the ones that were surveyed)

c. Identify the parameter of interest in the study.

  • the parameter of interest is the people that believe that coffee shops are overpriced

d. Find and interpret a 95​% confidence interval for the parameter of interest.

z score for a 95% confidence level = 1.96

margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579

95% confidence level interval:

0.4 - 0.13579 = 0.26421

0.4 + 0.13579 = 0.53579

  • 95% confidence interval (0.26421 , 0.53579)

5 0
3 years ago
A circular garden has a circumference of 63 yards. Lars is digging a straight line along a diameter of the garden at a rate of 5
Harrizon [31]

Answer:

4 hours

Step-by-step explanation:

If the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

6 0
3 years ago
Which of the following represents 32=8 x 4
cricket20 [7]
What is the context ? is it multiple choice ?
4 0
3 years ago
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Work out size of angle x
myrzilka [38]

Answer:

Step-by-step explanation:

Comment

You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle

Equation

Cos(x) = a/c the way you have labeled it.

Givens

a = 9

c = 18

Solution

Cos(x) = a / c

Cos(x) = 9 / 18

cos(x) = 1/2

x = cos-1(1/2)

x = 60 degrees

Answer

x = 60

7 0
2 years ago
Read 2 more answers
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