a. 2⁵ × 2^(3) = 2^(a) is a = 8.
b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.
c. [tex]8^c[/tex] = 1/64 is c = - 2.
What are some rules of exponents?Some common rules of exponents are
[tex]{a^b}\times{a^c} = a^{b + c}[/tex].
[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]
We can only add and subtract exponents only when we have the same base.
Given,
2⁵ × 2³ = [tex]2^a[/tex].
[tex]2^{5+3}[/tex]= 2^(a).
[tex]2^8[/tex] = [tex]2^a[/tex]
a = 8.
[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]
[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].
4 - b = - 2.
- b = - 6.
b = 6.
[tex]8^c[/tex] = 1/64.
[tex]8^c[/tex] = 1/[tex]8^2[/tex].
[tex]8^c[/tex] = [tex]8^{-2}[/tex]
c = - 2.
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which expression fits this description
.the expression is the quotient of two quantities
. the numerator of the expression is the product of 5 and sum of x and y
. the denominator is the product of negative 8 and x
Answer:
Step-by-step explanation:
Please help me with this!!!
Answer:
True
they intersect at only one point
hope it will help you
your day will full of happiness
Answer:
i think true
Step-by-step explanation:
corret because vertical Lines intersect at one point after a certain amount of time
Wiki
Help I’ll give Brainly est
Amelia invests money in an account paying simple interest. She invests $180
and no money is added or removed from the investment. After one year, she
has $187.20. What is the simple percent interest per year?
Answer:
4%
Step-by-step explanation:
100% represents the starting balance: $180.
Method 1
Express the ending balance as a percentage of the starting balance:
$180
1.04
1.04 times 100=
1.04×100=
104%
Subtract the starting 100% to get the percent interest:
4%
Method 2
$187.20−$180=
$7.20
$180
$7.20
0.04
0.04 times 100=
0.04×100=
4%
Which of ratio is equivalent to 3:4 ?
12:9
9: 20
9:12
803 : 804
Answer:
C
Step-by-step explanation:
3/4 = 9/12
This is because
3 x 3 = 9
4 x 3 = 12
3/4 = 9/12
Hope that helps!
if an is defined as a geometric sequence, is the sequence 1/an also a geometric sequence? explain your reasoning.
Answer:
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
so, the ratio between terms is still constant.
Step-by-step explanation:
If an is defined as a geometric sequence, is the sequence 1/an also a
geometric sequence because the ratio between terms remain constant.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be[tex]T_n = ar^{n-1}[/tex]
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
Therefore, the ratio between terms is still constant.
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Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21
Given:
The set of integers in the options.
-13 , 4, 0, -8
-5 , -2, 3, 1
-12 -18 , -4 , 7
-15, 6 , -9 , -21
To find:
The set of integers that is ordered from least to greatest.
Solution:
We know that the larger negative value is the smaller value and the larger positive value is the greater value.
Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.
In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.
In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.
In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.
In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.
Therefore, all the options are incorrect.
Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit
Answer:
(3x - y)(x + y)²Step-by-step explanation:
3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²Answer:
[tex](3x-y)(x+y)^2[/tex]
Step-by-step explanation:
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Multiply and combine like terms.
[tex]3x^3+xy^2-y^3+5xy^3[/tex]
Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.
[tex]3x^3+5xy^2+y^2x-y^3[/tex]
Find one factor of the form kx^m +n, where kx^m divides the monomial with the highest power 3x^3 and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.
[tex](3x-y)(x^2+2xy+y^2)[/tex]
Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.
[tex](x+y)^2[/tex]
Rewrite the complete factored expression.
[tex](3x-y)(x+y)^2[/tex]
can someone help me do this one problem please like I need help Right now
Answer:
x= 11/12
Step-by-step explanation:
you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12
The sum of two numbers is 25. The difference between twice the first number and the second number is -10. Find the numbers
Answer:
15 and 10
Step-by-step explanation:
Let the two numbers be x and y
x+y= 25
2x-2y=-10
Write an equation of the line that passes through the points (−3,−4) and (0,2).
y=23x−2
y−3=23(x−0)
y−0=23(x−3)
y+0=23(x+3)
which one of them are it
HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is _____ %. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is _____ %. (Round to the nearest hundredth.)
For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%
Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92
Step-by-step explanation:
there ya go!!
Answer:
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .
The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .
Step-by-step explanation:
2.76% + 2.86% + 3.44% + 2.65% = 11.71%
11.71 / 3.44 = .2937
.2937 = 29.37%
Lol my brain just went blank
Answer:
is it 3,4
Step-by-step explanation:
sorry if im wrong i tried.
Point K is located at (1.5) on the coordinate plane. Point K is reflected over the Z-
acis to create point K'. What ordered pair describes the location of K"?
Answer:
hold on i'm abt to answer it
Step-by-step explanation:
What is the midpoint of the line segment with endpoint (1,-2) and (9,8)?
A. (3,5)
B. (4,3)
C. (5,3)
D. (5,5)
PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
Answer:
C. 43.98
Step-by-step explanation:
2+2
1+1
5+10
q+3=21 What is q
Answer:
18
Step-by-step explanation:
21 - 3= 18
/:
Answer:
Step-by-step explanation:
2+2 = 4
1+1 = 2
5+10 = 15
q+3 = 21, q = 21-3 = 18
Or if you meant all of them added together is 21, 2+2+1+1+5+10+q+3=21
q = -3
write an equation for the table below representing the relationship between the number of games and the total cost
Answer:
Answer is the Equation is 2x+2
Answer:
2x+2
Step-by-step explanation:
hope it helpssssss
In this triangle, the value of y is:
Answer:
It's either b or d more likely d though.
Step-by-step explanation:
1
Which expression can be simplified as m18?
Answer:
D : ( n^-3)6
Step-by-step explanation:
Which expression is equal to x^2- y^5?
Round to nearest degree.
8
х
11
Answer:
36
Step-by-step explanation:
tan^-1(8/11)=36.027
2. Nadia has 5 pairs of jeans, 3 blouses, and 4 pairs of tennis shoes. How many different
combinations can be made of 1 pair of jeans, 1 blouse, and 1 pair of shoes?
A)12
B)11
C)60
D)90
Answer:
try to be clear enough so that the answerer can understand
Step-by-step explanation:
.
The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?
G (10, 10)
H (12, 12)
I (14, 14)
A
(12, 10)
B
(10, 9)
C
(12, 9)
D
(12, 14)
GUYSSSSSS!!!SOLVE IT WITH EXPLAIANTION
Answer:
Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]
Step-by-step explanation:
6 of 7
£25 = 700 rubles, how many £ are in 1,260 rubles?
£
Answer:
45
Step-by-step explanation:
25 = 700
Y = 1260
Now you need to do cross multiplication .
25 X 1260=700Y
Since it's in a multiplying form you can simplify by dividing 700 by 25
1260=700Y/25
1260=28Y
Y=45
Solve for n.
7n - 4 = 317
n =
Step-by-step explanation:
[tex]7n - 4 = 317 \\ 7n = 317 + 4 \\ 7n = 321 \\ n = \frac{321}{7} \\ n = 45 \frac{6}{7} [/tex]
Answer:
[tex]n = \frac{321}{7} [/tex]
Step-by-step explanation:
1) Add 4 to both sides.
[tex]7n = 317 + 4[/tex]
2) Simplify 317 + 4 to 321.
[tex]7n = 321[/tex]
3) Divide both sides by 7.
[tex]n = \frac{321}{7} [/tex]
Therefor, the answer is n = 321/7 and in decimal form it would be, 45.857143.
if $45 is divided into the ratio 4:5 the smaller part is A. $1.50 B.$3.50 C.$4.50 D.$24.50 Asap
Answer:
Step-by-step explanation:
When you do 45 divided by 9 you get 5.
45 / 9 = 5
To figure out what the smaller number (in this the 4) equals,
you have to do 4 times 9 to get 36.
4 * 9 = 36
So your answer is 36.
(3ax + 4a) - (9x + 15a)
Answer:
3ax−11a−9x
Step-by-step explanation:
3ax+4a−(9x+15a)
Distribute the Negative Sign:
=3ax+4a+−1(9x+15a)
=3ax+4a+−1(9x)+−1(15a)
=3ax+4a+−9x+−15a
Combine Like Terms:
=3ax+4a+−9x+−15a
=(3ax)+(4a+−15a)+(−9x)
=3ax+−11a+−9x
4x + 3 = x + 2(x + 7)
step by step
Answer:
x=11
Step-by-step explanation:
4x + 3 = x+ 2x + 14
4x + 3 = 3 x + 14
4x - 3x = 14 -3
x= 14 - 3
x= 11
Answer:
x=11
Step-by-step explanation:
Distribute :
4x + 3 = x + 2( x+ 7)
4x + 3 = x + 2x + 14
Combine like terms :
4x + 3 = x + 2x + 14
4x + 3 = 3 x+ 14
Subtract 3 from both sides of the equation :
4x + 3 = 3x + 14
4x + 3-3 = 3x + 14 -3
Simplify :
what ever way you know how to subtract the numbers you should get this answer :
4x = 3x + 11
Subtract 3 from both sides of the equation :
4x = 3x + 11
4x - 3x = 3x + 11 - 3x
Simplify :
combine like terms
multiply by 1
combine like terms
x= 11