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
Bezzdna [24]
3 years ago
14

Urgent

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

F(x) = 2^x

64 = 2^x

2^6 = 2^x

x = 6

f(x) = 2^x

log (f(x)) = x log 2

x = log (f(x)) / log 2 = log_2 (f(x))

Therefore, the required logarithmic function is x = log_2 (f(x))

Click to let others know, how helpful is it

Makovka662 [10]3 years ago
5 0

Answer:

6 mosquitoes

Step-by-step explanation:

64 = 2^x

Use log base 2 both sides

log2(64) = log2(2^x)

log2(2^6) = xlog2(2)

6log2(2) = x

x = 6

You might be interested in
Help need to finish!!? 6 and 7
tatyana61 [14]
6. 3X6= 4xm
18=4m
Divide by 4
M=4.5

7.14 x5= b^2
70=b^2
Sq rt of 70
8.4
3 0
3 years ago
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
3 years ago
Help help help help math math
emmainna [20.7K]

Answer:

L = 5u

Step-by-step explanation:

area = 8 × L

L = area ÷ 8

40 ÷ 8 = 5

L = 5u

7 0
3 years ago
What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
Attachment pic:<br> Please help
ad-work [718]
The answer is D :)

I hope this helps! Let me know if you need help with anything else! I'd be happy to help in anyway I can! :D
5 0
3 years ago
Other questions:
  • How many deciliter are equivalent to 5 cups
    12·2 answers
  • Which choice correctly labels the form used in Brutus’ and Mark Antony’s eulogies?
    8·1 answer
  • 540 is 10 Times as much as 5,400
    10·2 answers
  • 4/3 to the third power as a simplified fraction
    8·2 answers
  • Vicky jogged 2 3/4 miles in 1/2 hour.What was her average rate of speed in miles per hour?
    9·1 answer
  • What is the y in 14-6y=44
    6·2 answers
  • Anyone know? Please help ASAP! Thx!
    11·1 answer
  • With the current economy, gas prices are now skyrocketing! The price of gas used to be $3.70, and it is increasing at a rate of
    6·1 answer
  • 1.) A number has 7 tens and 3 more ones than tens. What<br> is the number?<br> be
    15·2 answers
  • Mr. Gatting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!