Answers
[tex] c.\:{x}^{ - 4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]
Note:-
[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Related Questions
Which equation best describes the situation below?
5 less than a number is 15.
Answers
Let the number is X
So the equation will be X-5 = 15
Find the value of x and y.
Answers
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
Step-by-step explanation:
What is the solution to this equation? log6(x) + log6(3) = log6( x+1)
Answers
Answer:
A
Step-by-step explanation:
got it right
The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.
What is a logarithm?A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.
How to solve this problem?We know that logₐx + logₐy = logₐ(xy)
Here, log₆(x) + log₆(3) = log₆( x+1)
i.e. log₆(3x) = log₆( x+1)
i.e. 3x = x + 1
i.e. 3x - x = 1
i.e. 2x = 1
i.e. x = 1/2
Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.
Learn more about logarithm here -
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a manufacturer made a profit of 60% when he sold each plate for $10. calculate the cost of manufacturing each plate
Answers
Answer:
160:10
100:x
160x=1000
x=1000/160
x= $6.25
BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)
Answers
Answer:
take care everyone be safe
stay home , stay safe
take vaccination
solving equations
x-1=19
Answers
Answer:
x=20
Step-by-step explanation:
x-1 = 19
Add 1 to each side
x-1+1 = 19+1
x=20
Answer:
x = 20
Step-by-step explanation:
x - 1 = 19
Add 1 to both sides
x = 20
What is the slope of the line ?
Answers
Answer:
B. ½
Step-by-step explanation:
____________________
Which of the following functions is graphed below?
Answers
A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible
Answers
Answer:
I would say about a billion because numbers can be put in any combination
Step-by-step explanation:
EXAMPLES:
012345678
023456781
034567812
045678912
123456780
234567801
345678012
456780123
567801234
678012345
780123456
801234567
123456789
234567891
345678912
456789123
567891234
678912345
789123456
891234567
912345678
There are 3,628,800 possible ways to create passwords .
What is permutation?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.
The symbol [tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
is used to denote the number of permutations of n distinct objects, taken r at a time.
According to the question
Website requires users to create a password consisting of digits only.
i.e Digits are:
0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 7 , 8 , 9 = total 10 digits
no digit may be repeated and each password must be at least 9 digits.
i.e Digits taken at a time is 9 with no repetitions
Now ,
Applying permutation
[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
substituting the value
n = 10
r = 9
[tex]P_{9} ^{10}[/tex] = [tex]\frac{10!}{(10-9)!}[/tex]
[tex]P_{9} ^{10}[/tex] = 10!
= 3,628,800
Hence, There are 3,628,800 possible ways to create passwords .
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The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
Answers
Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
-8 * 2/3 answer as a fraction
Answers
Answer:
-8 x 2/3
=–16/3.
or -5⅓
Have a great day!
I need help looking for the answer,but is my answer correct.
Answers
OMG last one please help
Answers
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answers
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
the sum of two consecutive number is 15. the number are and solve
Answers
By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,
Let us take :-
First number = x Second number = x + 1According to the Question :-
[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]
Therefore :-
First number = 7 Second number = 8Hence the two numbers are 7 and 8.
¿Cómo se mide el grado de una ecuación algebraica?
Answers
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
[tex] \sqrt{91 + 9} [/tex]
need help please
Answers
HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS
There are 4 blue tiles and 6 red tiles with the letter A written on them in a bag. In the same bag, there are 2 red tiles and 8 blue tiles with the letter B written on them. What is the probability that a randomly selected tile has the letter B or is blue? Give your final answer as the nearest whole percent.
Answers
Answer:
70%
Step-by-step explanation:
4 blue tiles A
6 red tiles A
2 red tiles B
8 blue tiles B
total: 20
total B: 2 + 8 = 10
total blue, not B: 4
p(B or blue) = (10 + 4)/20 = 0.7 = 70%
i need the answer to this question
Answers
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm
Answers
Answer:
Step-by-step explanation:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 5 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 5 cm * 20 cm + 25 cm**2 =
5 cm * 10 cm + 25 cm**2 =
50 cm**2 + 25 cm**2 = 75 cm**2
solve:
[tex] \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} [/tex]
Answers
Explanation:
sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)
sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15
sqrt(5x + x^2) + 5 + x = 15
sqrt(5x + x^2) = 10 - x
Take square of both sides
5x + x^2 = (10 - x)^2
5x + x^2 = 100 - 20x + x^2
Cancel x^2
5x = 100 - 20x
25x = 100
x = 4
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answers
Answer:
B. C. and D.
Step-by-step explanation:
HELP PLZ I LOVE YOU GUY LET GOOOOO
Answers
Answer:
9 no answer 10
10 no answer 630
11 no answer 12.56 ft^3
12 no answer 268.1 km^3
Step-by-step explanation:
A color wheel is divided into 6 equal pieces.
Select all of the true statements about the pieces of the color wheel. A.
Two pieces have a total of 180°.
B.
Four pieces turn through 240 one-degree angles.
C.
Two 90° angles can fit into 3 pieces of the color wheel.
D.
Two pieces have a total angle measure of 90°.
E.
Each piece has an angle measure of 60°.
Answers
Answer:
B,C,E your welcome
Step-by-step explanation:
Answer: b e and c hope this was useful
Pls help kendjehdjjekekebwvujfjej
Answers
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet
Answers
Answer:
carl and ben aint human chief
Step-by-step explanation:
Answer:
1 11/12
because they ain't human chief ant answer
I NEED HELP PLEASE !!!
Answers
Answer:
Step-by-step explanation:
1. PW
2.UT
3.CR
4.QW
A jar of 150 marbles costs $4.50. If the cost varies directly with the number of marbles in the
jar, what should a jar of 250 marbles cost?
Answers
4.50/150=0.03
0.03x250=7.5
which number represents 4%
400
40
0.4
0.04
Answers
Answer:
0.04
Step-by-step explanation:
need help with this question
Answers
Answer:
n = 12.5t
Step-by-step explanation:
add up the calories burned in both days
275 + 450 = 725
add up the minutes running on both days
22 + 36 = 58
divide calories by minutes
725 calories/58 minutes = 12.5 calories/1 minute
So 12.5 multiplied by any number of minutes tells you how many calories you burned
The number of calories you burned is dependent on the number of minutes you ran.