Answers
Answer:
[tex]x = - 1.[/tex]
Step-by-step explanation:
[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]
♨Rage♨
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{x} = \frac{1}{2} [/tex]
We know that (1/2) can be written as 2^-1. So, it will be;
[tex] {2}^{x} = {2}^{ - 1} [/tex]
Looking on both sides we find that both have same base. So,
x = -1
(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)
Hope it helps...
Related Questions
Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate the difference in Rhode Island and New Jersey's state's population of 8th graders. Express your final answer in scientific notation.
Answers
Answer:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
Amanda's book bag is 0.10. Some of Amanda's pens are removed and replaced with pink pens. Her book bag still contains a total of 20 pens. If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag?
Answers
Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]
Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]
ATQ
[tex]\frac{x}{20}[/tex]≈1
x≈20
So, the number of pink pens can be 19 .
Michael earns $12.50 per hour. Which equation describes this statement?
y=25x
y=12x
y=0.5x
y=12.5x
Answers
Answer: y= 12.5x
Step-by-step explanation:
The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.
Which rational number is larger 5/4 or 1/4
Answers
Answer:
5/4
Step-by-step explanation:
Yeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5/4
Step-by-step explanation:
An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls
Answers
Answer:
I believe its 1,200 pounds.
Step-by-step explanation:
9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.
When rounding to the nearest tenth, which of the numbers below will round to 78.5? Select all that
apply.
A) 78.405
B) 79.4
C) 78.48
D) 78.51
E) 78.54
Answers
Answer:
Step-by-step explanation:
The answer is because when rounding it should be b
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
Answers
Answer:
y=0.25x+3
Step-by-step explanation:
Pens cost $0.20 each. Pencils cost $0.15 each. Write an algebraic expression that represents the total cost of buying p pens and n pencils. (Will give brainliest if correct)
Answers
Answer:
y=0.20p + 0.15n
Step-by-step explanation:
I believe this is correct I am 90% positive that it is right.
The algebraic expression will be C = 0.20 p + 0.15 n
It is given that a pen cost $0.20 and a pencil cost $0.15.
We have to give expression for total cost of p pens and n pencils.
What will be the value if 2 times of x is added to x ?
The value will be 3x.
Cost of 1 pen = $0.20
Cost of p pens will be ;
= 0.20 p
Cost of 1 pencil = $0.15
Cost of n pencils = 0.15 n
If total cost is represented by C then ;
C = 0.20 p + 0.15 n
Thus , the algebraic expression will be C = 0.20 p + 0.15 n
To learn more about algebraic expressions click here ;
https://brainly.com/question/2164351
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Find the reciprocal.
12
Answers
Answer:
1/12
Step-by-step explanation:
finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.
The reciprocal of 12 is 1/12.
Hope this helps! :)
Which expression is equivalent to [4h^7k^2]^4?
Answers
Answer:
614656h²⁸k⁸
Step-by-step explanation:
Exponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]
Step 1: Write expression
[4h⁷7k²]⁴
Step 2: Distribute power 4 to each term
4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾
Step 3: Simplify
256h⁷⁽⁴⁾2401k²⁽⁴⁾
614656h⁷⁽⁴⁾k²⁽⁴⁾
Step 4: Use Exponent Rule
614656h²⁸k⁸
6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr
Answers
9514 1404 393
Answer:
3.5 hr
Step-by-step explanation:
We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...
(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35
Multiplying by 35/8, we have ...
(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5
It will take 8 lumberjacks 3.5 hours to cut down 35 trees.
help is it a, b or c??
Answers
Answer:
B
Step-by-step explanation:
A translation is just moving the same shape on a grid, thus nothing changes.
PLEASE HELPPPP!!!! WILL GIVE BRAINLIEST ASAP!!!
4+8
THANK YOU <3
Answers
Answer:12
Step-by-step explanation:
count you fingers. Easy XD
Answer:
4+8=12
Step-by-step explanation:
If you use your fingers and count
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answers
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
If y° and 150° form a linear pair , then y° ?
Answers
Answer:
Y=30
Step-by-step explanation:
we know that Y+150=180 as it is a linear pair
so, Y= 108-150
which will be 30
What is 1 11/16 simplified
Answers
Answer:
Its already simplified but if you mean a mixed number then its 27/16
Step-by-step explanation:
What is the length of side A, in centimeters, on the enlarged trapezoid?
4
6
12
20
Answers
Answer:
C
Step-by-step explanation:
given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12
So,
The length of side A is 4 centimeters.
(5b+6)°
(4b-6)°
answer B=
Answers
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
The 2 Johnson children are playing a game. The
game has 10 cards that are passed out. Each child
gets the same number of cards. How many cards
does each child get?
Answers
Answer:
each child gets 5 cards
Step-by-step explanation:
just do 10/2 and you get 5
Answer:
5 cards
Step-by-step explanation:
10 divided by 2 is 5
PLEASE ANSWER BOTH QUICK
Answers
Answer:
1.C
2.A
Step-by-step explanation:
dude trust me
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answers
Answer:
I think is c
Step-by-step explanation:
Simplify the expression.
74÷(32)
A. −218
B. 218
C. 76
D. −76
Answers
Answer:
Simplify the expression.
Exact Form:
37
16
Decimal Form:
2.3125
Mixed Number Form:
2
5
16
Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}
The median of the distribution can be found using the formula :
Median = 0.5(n + 1) th term
n = number of terms = 12
Median = 0.5(12 + 1) th term
Median = 0.5(13)th term = 6.5th term
Select the 6th and 7th term = 11, 11
(11 + 11) /2 = 22/2 = 11
Hence, the median = 11
The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.
The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.
Answer:
The median number of hours James worked is 10 . The skew of the distribution is negative .
Step-by-step explanation:
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
Answers
What is the value of x in the proportion?
9/12=12/x
Answers
Answer:0.75
Step-by-step explanation:
Explanation:
Determine the defined range
9/12=12/x, x≠0
Reduce the fraction with 3
3/4=12/x
Simplify the equation using cross-multiplication
3x=48
Divide both sides of the equation by 3
x=16, x≠0
Check if the solution is in the defined range
x=16
What is the distance between 9 and 11?
Answers
Answer:
2
Step-by-step explanation:
11-9 is 2
Help me pleaseeeeeeeeeeeee
Answers
Answer:
b
Step-by-step explanation:
Answer: B
Explanation there is nothing for me to explain
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?
Answers
Answer:
B
Step-by-step explanation:
The equation that represents this direct variation between a and b is:
b = -a. See explanation below.
What is a Direct variation?
Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.
Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a
Learn more about Direct Variation at:
https://brainly.com/question/6499629
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What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answers
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
solve for x please
Answers
Answer: 53°
Step-by-step explanation: If two parallel lines are cut by
a transversal, then same-side interior angles are supplementary.
So if we know one of our angles measures 127,
our other angle will measure 180 - 127, which is 53.
So x is 53 degrees.
Remember, whenever you have two parallel lines cut by a transversal,
same-side interior <'s are supp. or the sum of their measures is 180 degrees.