1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allsm [11]
1 year ago
11

Evaluate the given question

Mathematics
1 answer:
Natali5045456 [20]1 year ago
5 0

The value of the given expression is 1/16

<h3>Exponential functions</h3>

Given the exponential function below as shown;

(1/2)^4

This means the product of 1/2 in 4 places. This can be expressed as;

(1/2)^4 = 1/2 * 1/2 * 1/2 *1/2

(1/2)^4 = 1/4 * 1/4

(1/2)^4 =1/16

Hence the value of the given expression is 1/16

Learn more on exponent here: brainly.com/question/725335

#SPJ1

You might be interested in
A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
I am Lyosha [343]

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

7 0
2 years ago
What is the approximate length of the hypotenuse of a right triangle with vertices (-6, 2),
muminat

Answer:

Step-by-step explanation:

A(-6, 2),   B(6,-3) and C(-6, -3)

AB² =  (x₂ - x₁)² + (y₂ - y₁)²

      = ( 6 -[-6])² + ( -3 -2)²

      = ( 6 + 6)² + ( -3 -2)² = 12²  + (-5)²  = 144 + 25 =169

AB = √169 = 13 units

BC²  = ( -6 -6)²  + ( -3 - [-3])² = (-6-6)²  + (-3 +3)²

      = (-12)²  + 0  = 144

BC = √144 = 12 unis

CA²  = (-6 - [-6])²  +(-3-2)²  = (-6 + 6)²  + ( -3-2)²

         = 0 + (-5)²  = 25

CA =√25 = 5 units

length of the hypotenuse of a right triangle  = 13units

4 0
3 years ago
3. A rectangular prism has dimensions of ½ 2, and 7/2 in.
sp2606 [1]

Answer:

answer c is 28 cubes

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
Read 2 more answers
$1400 deposit that earns 10% annual interest compounded semiannually
____ [38]

Answer:Does this helpf(t) = 1400(1 + (0.1)/2))2t

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • 1) simplify 7(n-p) + 5p<br><br> -7n -12p<br> 7n - 12p <br> 7n - 2p
    14·1 answer
  • Pls help!! if f(x) = 2x^2-4x and g(x)=5-2x, evaluate f(x) - g(x) for x=5
    8·1 answer
  • I WILL GIVE BRAINLIEST!!!
    5·1 answer
  • What is the answer to this question. Please help!
    6·1 answer
  • Using the chart above, which of the following statements is true when comparing the account balances?
    10·1 answer
  • The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the me
    14·1 answer
  • Help anybody please idem
    8·2 answers
  • Explain adpose tissue​
    11·2 answers
  • To find the average of some quantities , add them together and then divide the total by the number of
    13·1 answer
  • Round to the nearest hundredth 7.381
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!