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
daser333 [38]
3 years ago
15

Given that 2^x = 7, find the value of 4^x-1.

Mathematics
1 answer:
Helga [31]3 years ago
4 0

4=2^2\\\\4^x=(2^2)^x=(2^x)^2=7^2=49\\\\4^x-1=49-1=48


If\ is\ 4^{x-1},\ then\\\\4^{x-1}=\dfrac{4^x}{4}=\dfrac{49}{4}=12\frac{1}{4}

Used:\\\dfrac{a^n}{a^m}=a^{n-m}

You might be interested in
Which is faster 80km/h or 60mi/h
Vilka [71]
60 Mi/h is faster than 80 km/h
8 0
2 years ago
The graph shows the commission earned for each week of employment.
frozen [14]

Answer:

A, B, D

Step-by-step explanation:

A is true.  From week 5 to week 11, the curve goes down.

B is true.  After week 11, the curve goes up.

C is false.  The curve passes $320 twice in the first ten weeks, not three times.

D is true.  The curve starts at about $110.

E is false.  As time increases, the graph goes up.  As time decreases, the graph goes down.

8 0
3 years ago
What’s the correct answer
kolezko [41]

An increase from 1950 to 200 means the orange bar needs to be taller than the blue bar.

An increase from 2000 to 2050 means the gray bar needs to be taller than the orange bar.

There are 3 countries that have this, Australia, Canada and Egypt.


The answer is C. three.

8 0
3 years ago
The "off-peak” weekly average cost of hiring a caravan in England is £480.
valina [46]

Answer:

77.08%

Step-by-step explanation:

850 - 480 = 370

(370 / 480 ) × 100 = 77.08333333%

8 0
3 years ago
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 72 type K batteries and a sample of 49
rewona [7]

Answer:

Given:

For battery k(sample 1):

Sample size, n = 75

Sample mean, X' = 9.41

Standard deviation = 0.723

Mean u1 =???

For battery Q(sample 2):

Sample size, n = 49

Sample mean, X' = 9.69

Standard deviation = 0.257

Mean u2 =???

Significance level = 0.05

1) The null and alternative hypotheses, will be given as:

H0 : u1 - u2 = 0

H1 : u1 - u2 ≠ 0

2) This is a two tailed test.

For the test statistic, we have :

Z_o = \frac{X'_1 - X'_2}{\sqrt{\frac{(\sigma_1)^2}{n_1} + \frac{(\sigma_2)^2}{n_2}}}

= \frac{9.41 - 9.69}{\sqrt{\frac{(0.723)^2}{75} + \frac{(0.257)^2}{49}}} = - 3.018

≈ 3.02

The Zo = - 3.02

3) For the p value, using excel, we have:

2 * P(Z > (-3.018))

= 2 * NORMDIST (-3.018, 0, 1, true)

= 0.00254

For critical value:

Zcritical = Za/2 = 0.05/2

Zcritical = 0.025

We have alternative hypothesis,

H1 : u1 - u2 ≠ 0.

Therefore we reject null hypothesis H0 if Zo > Zcritical

4) We reject null hypothesis H0 if Zo > Zcritical. At 0.05 level of significance, there is not enough evidence to conclude that mean u1 and mean u2 are different.

4 0
2 years ago
Other questions:
  • What is the ratio of stars to hearts?
    10·1 answer
  • Express the diameter of a circle as a function of its radius
    7·1 answer
  • A triangle has a 90° angle. What type of triangle is it?
    11·2 answers
  • Help me plz pt2 sorry its the clearest pic I can get
    10·1 answer
  • Gavin has nickels, dimes and quarters in a ratio of 8:1:2 if Gavin's coins are quarters, how many nickels and dimes dose gavin h
    9·1 answer
  • Please someone help!
    10·1 answer
  • Mr. Evans has a plot of land in the shape of a right triangle that he wants to cover with grass sod. The diagram shows his plot
    9·1 answer
  • EASE HELP The sum of two numbers is 23. One number is four less than twice the other. Find the numbers.​
    10·2 answers
  • Can u guys tell me what 1/4 + 1/8 is cause im in a bind right now pls
    6·2 answers
  • Absolute value inequalities. 10-4|9y-10|<-94
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!