What is the value of log Subscript 0. 5 Baseline 16? –4. 00 –0. 25 1. 51 2. 41.
The value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + log_b(c) = \log_a(c)\\[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
For this case, we have to simplify the expression [tex]log_{0.5}(16)[/tex]
Let this is equal to 'a', then:
[tex]a = \log_{0.5}(16)\\\\0.5^a = 16\\(\dfrac{1}{2})^a = 16\\\\1^a/2^a = 2^4\\\\1 = 2^4 \times 2^a\\2^0 = 2^{4+a}\\\\0 = 4 + a\\a = -4[/tex]
(we used the property that: [tex]b^0 = 1[/tex] and [tex]k^m \times k^n = k^{m+n}[/tex] )
Thus, the value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00
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Thomas uses 4 1/2 cups of flour to make 3 loaves of banana bread. Write and solve an equation to find how many cups of flour are needed to make one loaf of banana bread.
The equation that best represents the relationship between the number of loaves of bread which is denoted by b and the number of cups of bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas are needed to make 5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼ represents how many cups are needed to make 1 loaf of bread.
35. Priscila's age is k years while Mary's age is byears. If Mary is 15 years older than b Priscila, which of the following stateinents is correct? 2k + b = 15 -K= 15 6 K-6= 15 D. 20+k=15 A. В.
The relationship between Priscilla's and Mary's age illustrates algebraic expression
The correct representation of the statements is b - k = 15
How to determine the representation of their ages?From the question, we have:
Priscilla = k
Mary = b
Mary = 15 years older
The third highlight above means that:
Mary = 15 + k
Substitute b for Mary
b = 15 + k
Subtract k from both sides
b - k = 15
Hence, the correct representation of the statements is b - k = 15
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Plzzzzzz meeeeeeeeeeeee
Answer:
add all terms together and simplify
Step-by-step explanation:
Answer:
x= 2.1
Step-by-step explanation:
Is ✓ 10 greater than, less than or equal to 5? Use the drop-down menus to explain your answer.
Because 10 lies between two consecutive perfect squares,
Choose.
1.110 is located between the choose...
these two numbers
of
This means that 10 is located between
Choose
.so V 10 is
Choose
5
Answer:
Step-by-step explanation:
✓9 = 3
And
✓16=4
=> ✓10 is between number 3 and 4
=> ✓10 is less than 5
Number √10 is less than 5.
Because 10 lies between two consecutive perfect squares of 3 and 4.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The number is √10.
Since, Value of √10 = 3.16
Which is less than 5.
That is, 3.16 < 5
And, Value of 3² = 9
Value of 4² = 16
⇒ 3² < 10 < 4²
Hence, 10 is lies between two consecutive perfect squares 3 and 4.
Thus, Number √10 is less than 5.
Because 10 lies between two consecutive perfect squares of 3 and 4.
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Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.
Answer:
I hope this helps
Step-by-step explanation:
The answer is 5454
Can some one plz help me plz
1. 10 + 5x = 20
2. 5 + 10x = 20
3. 20 - 5x = 10
4. x/5 + 10 = 20
I need help you ASAP I need the answer
Answer:
[tex]\huge\boxed{<BCA = 48\°}[/tex]
Step-by-step explanation:
The measure of exterior angle is equal to the sum of the non-adjacent interior angles.
So,
∠NAB = ∠ABC + ∠BCA
105° = 57° + ∠BCA
Subtracting 57 to both sides
∠BCA = 105°-57°
∠BCA = 48°Hope this helped!
~AnonymousHelper1807Which expression is equivalent to
numerator: (8 × 10−4) + (6 × 10−4)
denominator: 3.5 × 102
fraction^
?
A. 4 × 10-2
B. 4 × 10-6
C. 4 × 10-8
D. 4 × 10-10
Answer:
Step-by-step explanation:
i cannot find an answer from the expression but i can guess if you didnt follow pemdas, it would be d
3.5 × 102 is 357
(8 × 10−4) + (6 × 10−4) is 132
132/357= .369 or .37 or 0 simplified
d is 4*10-10
10-10 is 0
4*0 is 0
(5, 3) and (5,-9) slope:
30 POINTS
The vertex is located at (8.33, 236.67).
What does this point represent in context?
Answer:
The vertex is the maximum of the graph. The y-coordinate of the maximum is 236.67, which means the greatest possible daily profit from the sale of soccer balls is $236.67. This maximum profit occurs when x = 8.33, or when the store charges $8.33 per soccer ball.
Answer:
The vertex is the maximum of the graph. The y-coordinate of the maximum is 236.67, which means the greatest possible daily profit from the sale of soccer balls is $236.67. This maximum profit occurs when x = 8.33, or when the store charges $8.33 per soccer ball.
Step-by-step explanation:
Determine what comes next in the given pattern.
15, 10, 14, 10, 13, 10,
Answer:
→ 12..........
I hope this will help you....
Answer: 12, 10,
Step-by-step explanation:
The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will not have the digit 2 on it?
Answer:
1/10
Step-by-step explanation:
20 21 22 23 24 25 26 27 28 29 30
X. X. X. X. X. X. X. X. X. X. V
1/10
20-29 all have a 2 in it meaning 30 is the only digit that doesnt have a 2 so 1/10 numbers
If one card taken from the bag then the probability that will not have the digit 2 on it is 1/11.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Numbers from 20 to 30 are written on individual cards.
The total numbers of cards = 11
And numbers on cards = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
To find the probability of cards that have not the digit 2 on it.
Since, there is only one digit 30, which does not have digit 2,
Therefore, probability = favorable outcome / total outcome
= 1 / 11
The required probability of choosing a card that will not have the digit 2 on it is 1/11.
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Find the value of k?
Answer:
15
Step-by-step explanation:
We should know that the angles in a triangle always add up to 180. We can subtract 75 and 30 from 180 giving us 75. Now we have 5k=75. Divide 75 by 5 and we have k which is 15. Hope this helps!
Find the fourth term in the expanded form of (5x + 1)4.
Which statement regarding these four states is true? the state with the lowest population has the greatest population density. the state with the second lowest population has the lowest population density. the state with the lowest population has the lowest population density. the state with the second greatest population has the lowest population density.
State B with the second-lowest population has the lowest population density. Then the correct option is B.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The second-lowest density for the states will be given as
[tex]\rm D_A = \dfrac{1055173}{2677} = 394.16[/tex]
[tex]\rm D_B = \dfrac{1333089}{36418} = 36.61[/tex]
[tex]\rm D_C = \dfrac{3596677}{5543} = 648.87[/tex]
[tex]\rm D_D = \dfrac{6745408}{10555} = 639.07[/tex]
Thus, state B with the second-lowest population has the lowest population density. Then the correct option is B.
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Find the value of x. (It's an obtuse scalene triangle with two angles of 33° and 29°)
Answer:
118
Step-by-step explanation:
33+29 = 62
180 - 62 = 118
Please help I’m giving out likes and etc
A number is chosen at random from the whole numbers
between 1 and 100, inclusive.
(a) What is the probability that the number ends in a zero?
(b) What is the probability that the number is odd?
(c) What is the probability that the number is odd or ends in
a zero?
Answer:
90 for the first oneoneoneone
Step-by-step explanation:
If you are interested in purchasing 20 year term life insurance and every $10,000 of coverage costs $1.00 per month, how much would your monthly payment be for $250,000 of coverage?
Answer: 1,200
Step-by-step explanation:
What additional information would be sufficient, along with the given, to conclude that lmno is a parallelogram? check all that apply. ml ∥ no ml ⊥ lo lo ≅ mn ml ≅ lo mn ⊥ no
The conditions ML ║ NO and LO ≅ MN are sufficient to show that the LMNO is a parallelogram.
What is a parallelogram?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal. And its diagonals are not equal but intersect at the mid-point.
The side ML is parallel to the NO that is given as
ML ║ NO
And the side LO is equal to the side MN
LO ≅ MN
These conditions are sufficient to show that the LMNO is a parallelogram.
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Answer:
ML ∥ NO, LO ≅ MN (1 and 3)
Step-by-step explanation:
edg
if you drive 25 miles at a rate of 50 miles per hour. how long will this take?
Answer:
30 minutes
Step-by-step explanation:
50/25 =2 x 15 = 30
Which deal is better? Pizza A is 10-inch diameter for $15 or Pizza B is a 12-inch diameter for $27? Which do you get more pizza per dollar spent?
Answer:
the answer is pizza b
Step-by-step explanation:
first i did 15 divided by 10=1.50
then i did 27 divided by 12=2.25
then i did 1.25%of 12=0.15
then 2.25 of 12=0.27
you get more pizza per dollar with pizza b
Need a quick help with the point lol
Answer: Point
Step-by-step explanation: Point
Answer:
its 14 because you divide the circumfrece and then pi
Step-by-step explanation:
4
1
5x
$x + šy
Use the work shown. Which expression is equivalent to
2 3 2 4 1.
39
Y-
X+-y?
5
5 3
X +
No
(3)
4
y -
2 2
O
x+
ch
5
9 34-5%
O
-Y
4 22 3
x + -+-y+=X
5
9
2 2
4
O
7
X
Colt
5
3
5
3 34
9
2.
31
7 2
X+-+y
5 9
Answer:
[tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex]
Step-by-step explanation:
[tex]-\dfrac23y-\dfrac35x+\dfrac29-\dfrac45x+\dfrac13y[/tex]
Collect like terms:
[tex]\implies -\dfrac23y+\dfrac13y-\dfrac35x-\dfrac45x+\dfrac29[/tex]
Combine like terms:
[tex]\implies -\dfrac13y-\dfrac75x+\dfrac29[/tex]
[tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex]
Collect like terms:
[tex]\implies \dfrac13y-\dfrac23y-\dfrac75x+\dfrac23-\dfrac49[/tex]
Combine like terms:
[tex]\implies -\dfrac13y-\dfrac75x+\dfrac29[/tex]
Therefore, [tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex] is equivalent to [tex]-\dfrac23y-\dfrac35x+\dfrac29-\dfrac45x+\dfrac13y[/tex]
Jessica paid $25.50 for 3.4 pounds of shrimp. How much would it cost her to buy 8 pounds?
Answer: The answer would be $60
Step-by-step explanation: You would first wanna solve for how much one pound of shrimp costs, which is $7.5 (you divide 25.50 by 3.4) Then you would want to multiply 7.5 by 8 to get how much 8 pounds of shrimp costs.
 The ratio of men to women working for a company is 8 to 5 if there are 135 woman working for the company what is the total number of employees
Answer:
351 employees
Step-by-step explanation:
5x27=135
8x27=216
135+216=351
can anyone help me with this one
Answer:
180+216= 396cm²
please mark brainliest♡♡
Step-by-step explanation:
First separate the shape into two rectangular
27 - 9= 18
18×10= 180cm²
9×24= 216c m²
Answer:
396 cm²
Step-by-step explanation:
Area = 10 x (27 - 9) + 24 x 9
= 10 x 18 + 24 x 9
= 20 x 9 + 24 x 9
= 44 x 9
= 396 cm²
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
12x - y = 25
9x+y = 17
A. (-2,3)
B. (2, -1)
O C. (1,-2)
D. (3,-2)
Answer:
B. (2,-1)
Step-by-step explanation:
Try plugging the X and y coordinates and the ones that give you the correct answer are correct try and error method
Solve
1/5x + 2/5x - 12 = -6.
The solution is x=
Please explain
Answer:
X = 10
Step-by-step explanation:
Multiply both sides of the equation by 5
x + 2x - 60 = -30
Collect like terms
3x - 60 = -30
Move constant to the right-hand side and change its sign
3x = -30 + 60
Calculate the sum
3x = 30
Divide both sides of the equation by 3
x = 10
Solution
x = 10
Answer: x = 10
Step-by-step explanation:
1/5x + 2/5x - 12 = -6 Add 12 to both sides
+12 +12
1/5x + 2/5x = 6 Combine like terms on the left side
3/5x = 6 Divide both sides by 3/5
x = 10