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
seraphim [82]
3 years ago
8

What is the value of k in the product of powers below? welp

Mathematics
2 answers:
8090 [49]3 years ago
7 0
I guess : k = -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
defon3 years ago
6 0

Answer:  The required value of k is -1.

Step-by-step explanation:  We are given to find the value of k in the product of the following powers :

10^{-3}.10.10^k=10^{-3}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following properties of exponents to solve the given equation.

(i)~a^b.a^c=a^{b+c},\\\\(ii)~a^x=a^y~~~~\Rightarrow x=y.

From equation (i) we have

10^{-3}.10.10^k=10^{-3}\\\\\Rightarrow 10^{-3+1+k}=10^{-3}\\\\\Rightarrow 10^{-2+k}=10^{-3}\\\\\Rightarrow -2+k=-3\\\\\Rightarrow k=-3+2\\\\\Rightarrow k=-1

Therefore, the required value of k is -1.

You might be interested in
In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu
olya-2409 [2.1K]

Answer:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

Step-by-step explanation:

Information given

\bar X= 19.6 represent the sample mean

\mu population mean

\sigma= 5.8 represent the population deviation

n=42 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom, given by:

df=n-1=42-1=41

Since the Confidence is 0.98 or 98%, the significance would be \alpha=0.02 and \alpha/2 =0.1, and the critical value would be t_{\alpha/2}=2.42

Replacing we got:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

8 0
3 years ago
Help if you can but this is kinda urgent any help is welcome tho
Ivanshal [37]

Answer:

(Change in y)/(change in x) is defined as the average rate of change.

For a linear equation:

y = a*x + b

A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.

Then the sentence will be:

"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)

In a linear function, this is called the slope, and it is constant"

4 0
3 years ago
Someone, please help me with this asap! And no links or weird answers, please!
kupik [55]

Answer:

b = 4

Step-by-step explanation:

subtract by 5 on both sides. ur left with

{b}^{2}  = 16

square root b and 16. the square root cancels out b squared. find the square root of 16. the square root of 16 is 4

3 0
2 years ago
Read 2 more answers
E2020 preformance task
kkurt [141]

Answer:

Step-by-step explanation:

F2021   preformance task

7 0
3 years ago
Evaluate the following expressions for p = 21.<br><br> a) 3p + 52<br> b) 432 - 2p
Reil [10]
A) the answer is 115
B)390
7 0
3 years ago
Read 2 more answers
Other questions:
  • How many tall cups of coffee will it take to equal the number of ounces in one venti
    13·1 answer
  • What is the f of x over the g of x when f(x) = 6x3 − 19x2 + 16x − 4 and g(x) = x − 2? (2 points)
    10·1 answer
  • Recall that you can use the built-in functions rem(m,n) or mod(m,n)to find the remainder of the division m/n.
    12·1 answer
  • Is 7.6157731 irrational
    13·1 answer
  • Which of the following could be the graph of y=x^2-3
    15·1 answer
  • NEEP HELP QUICKLY PLEASE
    11·2 answers
  • Choose the verbal descriptions that would best be modeled by polynomial functions. (Able to pick more than one)
    13·2 answers
  • Can someone help me find x
    12·1 answer
  • 8. The sum of two numbers is 23 less than twice the first number. Their difference is 19 less than
    7·1 answer
  • 6x-9y+45 in slope intercept form
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!