[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]
The above expression can be written as :
[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]
[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]
As Bases are same, we can add the powers with same base
[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]
[tex]\implies \sf{10^{9}}}}[/tex]
[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]
The above expression can be written as :
[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]
[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]
[tex]\implies\sf{10^{(5 - 11)}}[/tex]
[tex]\implies\sf{10^{-6}}[/tex]
[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]
[tex]\implies\sf{10^{(-5 + 10)}}[/tex]
[tex]\implies\sf{10^{5}}[/tex]
[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]
[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]
[tex]\implies \sf{(20)(10^{11})}[/tex]
[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]
[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]
What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4
Answer:
3
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]y = a(b)^x[/tex]
In which a is the value of y when x = 0.
In this question:
When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.
Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet
Answer:
Your answer would be 4^-3.
Step-by-step explanation:
So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.
In this case, 4 would be the number and -3 would be the negative exponent.
So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.
1/x^y ---> x^-y
1/4^3 ---> 4^-3
Your answer would be 4^-3.
who was the artist that cut off his ear?
Answer:
Vincent Van Gogh
Step-by-step explanation:
He was the artist who cut off his ear in 1888 in December I think...
I hope this helped :))
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000
Answer:260000
Step-by-step explanation:
Which could be the length of BC
11 ft
13 ft
15 ft
18 ft
Please help and thank you
Answer:
2.7>217/100
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
From Pythagoras Rule
c=√1²+2²
c=√5 cm
c= 2.2cm
To the Nearest tenth..
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
[tex]l = 14cm[/tex]
[tex]w = 11cm[/tex]
[tex]h = 7cm[/tex]
Required
The length of the longest segment (d)
This is calculated using:
[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]
So, we have:
[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]
Using a calculator, the equation becomes
[tex]d = \sqrt{366[/tex]
Take square roots
[tex]d = 19.13cm[/tex]
can someone do this for me thanks ok bye
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
log2 10=3x
Step-by-step explanation:
is the amswer
What is the answer to that
Answer:
can you show me the picture? I will edit my answer if you show me full picture
Step-by-step explanation:
please help!!!!
ignore the writing -_-
Answer:
Haha once again 1200 and 8.5 are the answers
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
Four-thirds
Step-by-step explanation:
If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.
The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
f(x) = x² - (1/3)x x ≠ -1
= -1 x = -1
[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)
f(x) = 1 + (1/3)
f(x) = 4/3
To know more about Function
https://brainly.com/question/12431044
#SPJ5
What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88
search up mean calculator
What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
Rewrite the function by completing the square. f(x)=x^{2}+8x+4
Answer:
[tex]\implies f(x) = ( x + 2)^2[/tex]
Step-by-step explanation:
Given :-
f(x) = x² + 8x + 4 .And we need to rewrite the function by completing the square. The function is ,
[tex]\implies f(x) = x^2+8x + 4[/tex]
We can rewrite the function in the form of ,[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]
Rewriting the function :-
[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]
This is similar to the whole square form stated above . So ,[tex]\implies f(x) = ( x + 2)^2[/tex]
Hence the function in whole square form is (x + 2)² .
The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.
Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?
Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )
{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
2 + 2 =
very easy beainliest :)
Answer:
4
Step-by-step explanation:
1+1+1+1=4
Answer:
wow, hardest question I've ever answered! It's either 4 or 22, I can't decide
Step-by-step explanation:
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
B. parallelogram
Step-by-step explanation:
Given
See attachment for quadrilateral
Required
Select the type of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Since all 4 sides are not equal, then it is neither a square; nor a rhombus
Hence, the shape is a parallelogram
WILL
GIVE BRAINLIST
ANSWER
MATH
The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?
Answer:
tbh i may be too late but the answer is 6
Step-by-step explanation:
the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls
if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36. 21- 15= 6 giving us the anser
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta
Answer: No puedo responder a esto sin que me muestres el problema.
Algebraic expression for six times 4 Less Than 3 times x
Answer:
6(3x - 4)
Step-by-step explanation:
From the question, we can deduce the following points;
- 6 is multiplied by 3x minus 4
Translating the word problem into an algebraic expression, we have;
6 * (3x - 4)
Simplify.
Help me please
Answer:
answer is 3^2
hopefully this helps someway
PLS HELPPPP ! I need itttt
Answer:
x = 10
Step-by-step explanation:
Please don’t troll include work
during the council meeting, the number of women is 2 times the number of men.how many women and men attended the meeting if there were 30 people present?