Answer:
You need to write log_2 80 in terms of log_2 5 , such that:
log_2 80 = log_2 (8*10)
Using the properties of logarithms, you need to convert the logarithm of product in summation of logarithms, such that:
log_2 (8*10)= log_2 8 + log_2 10
Since log_2 10 = log_2 (2*5) , yields:
log_2 (8*10)= log_2 8 + log_2 (2*5)
log_2 (8*10)= log_2 8 + log_2 2 + log_2 5
You need to write 8 as power of 2, such that:
log_2 (8*10) = log_2 (2^3) + log_2 2 + log_2 5
Using the power property of logarithms, log_a b^c = c*log_a b yields:
log_2 (8*10) = 3log_2 2 + log_2 2 + log_2 5
Since log_2 2 = 1 yields:
log_2 (8*10) = 3 + 1 + 2.3219
log_2 (8*10) = 4 + 2.3219 => log_2 (8*10) = 6.3219
Hence, evaluating the given logarithm , using the indicated properties of logarithms, yields log_2 (8*10) = 6.3219 .
Step-by-step explanation:
The value of [tex]log_2{80}[/tex] if [tex]log_25 = 2.3219[/tex] is 6.3219.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, [tex]log_25 = 2.3219[/tex].
Now, To obtain the value of [tex]log_2{80}[/tex] we'll break it into suitable smaller parts.
Therefore,
[tex]log_2{80} = log_2({8\times10})[/tex].
[tex]log_2{80} = log_28 + log_210[/tex]
[tex]log_2{80} = log_28 + log_2({2\times5})[/tex].
[tex]log_2{80} = log_28 + log_22 + log_25[/tex].
[tex]log_2{80} = 3 + 1 + 2.3219[/tex].
[tex]log_2{80} = 6.3219[/tex].
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please answer this. thank you
Same question I answered it but I don’t know if it’s correct
Answer:
Yes it is correct
Step-by-step explanation:
A good way to know it's correct is the "three times a number" because that's how you would know it's 3x
A bag contains 5 cherry, 8 orange, 2 grape, 7 bubblegum, and 3 apple
lollipops. What is the probability of choosing grape for your first lollipop
and orange for your second? (if you ARE replacing it) *
1/75
2/75
10/625
16/625
Answer:
16/625
Step-by-step explanation:
Step one:
sample space
A bag contains
5 cherry,
8 orange,
2 grape,
7 bubblegum, and
3 apple lollipops.
sample size= 5+8+2+7+3= 25
Required:
The probability of choosing grape for your first lollipop
and orange for your second?
1. The probability of choosing the grapes lollipops
=2/25
2. the probability of choosing the orange lollipops----Note in the second choice the sample size will reduce because the first choice was done with out a replacement
=8/24
The total is
2/25*8/25= 16/625
PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
x squared plus y squared minus 16 x plus 12 y equals 21
Answer
he diameter of the circle is 22 units.
x² + y² - 16x + 12y = 21
If this answer is correct, please make me Brainliest!
HAVE AN AMAZING DAY GOODLUCK
-Ary
Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)
Answer:
1) 5280 feet/sec
2)$3.41
Step-by-step explanation:
60 miles is 316800 feet, divided by 60 which is 5280 feet/sec
2)2.4x1.42 is 3.41
You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.
Answer:
1. $1.2
2. $0.14
Step-by-step explanation:
Step one:
given data
Black beans last week that cost $1.34
Step two:
This week's price
5 cans of beans cost $6.00
The cost per can is
= 6/5
=$1.2
The difference in price
=1.34-1.2
= $0.14
find x intercept if y=-5x+60
Answer:
-12 bla bla bla bla bla bla bla
1st correcct will get brainliest
Answer:
it s A
Step-by-step explanation:
if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten
Brianliest plz thanks
write the equation of the line that passes through the point (2,-1) and has a slope of -3
Answer:
y=2/-1 -3
Step-by-step explanation:
what is the expression in radical form? (5x^3 y^2) 2/8
Answer: (y^{2}x^{3}⋅5)/4
Step-by-step explanation:
Convert to Radical Form
[tex](5x^3y^2)\frac{2}{8}[/tex]
Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.
Factor 2 out of 2.
[tex]5x^3y^2\frac{2(1)}{8}[/tex]
Factor 2 out of 8.
[tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]
Cancel the common factor.
[tex]5x^3y^2 \frac{1}{4}[/tex]
Combine 5 and [tex]\frac{1}{4}[/tex].
[tex]x^3y^2\frac{5}{4}[/tex]
Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .
[tex]y^2\frac{x^3(5)}{4}[/tex]
Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]
[tex]\frac{y^2x^3*5}{4}[/tex]
what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question
6/7 - 1/2 equals 5/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:
Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.
Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
Therefore, 6/7 - 1/2 equals 5/14.
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how many times larger then 2x10² is 2x10⁸
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x [tex]10^{8}[/tex] = 200,000,000
2 x [tex]10^{2}[/tex] = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]
2 ÷ 2 = 1
Now solve:
1 x [tex]10^{6[/tex] = 1,000,000
How do I figure this out?
Which value is included in the situation set for the inequality graphed on the number line?
Answer:
-5 is the only one. -2 would be if the circle on the line was solid, but it's an open circle so the number it's on isn't included.
I'm On that test ATM and was wondering if you could give me the aswners to numbers 7 8 9
But the awnser to that question is -5
Find the GCF of 6x+4 and divide
Can someone please help me on this please?!
Tim is a first grader and reads 43 words per minute. Assuming he maintains the same rate, use the double number line to find how many words he can read in 5 minutes. Words 0 43 Minutes 0 1 Tim can read words in 5 minutes.
as a timeline
Answer:
all you have to do is Just divided the numbers
Step-by-step explanation:
÷
Algebra Question that I need help in since I’m taking a test
Answer:
D, the Addition Property of Equality
Step-by-step explanation:
This is the Addition Property of Equality. The Addition Property of Equality is, "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal." In this case, the person added 5 to both sides. The expression is still equal to what is was before. I hope this helps!
Answer:
The answer is D
Step-by-step explanation:
This is an example of a(n)?
A) Contraction
B) Enlargement
Answer:
A) Contraction
Step-by-step explanation:
Answer:
The answer to this question is Contraction.
Are these triangles similar and why
Answer:
can give me a picture
Step-by-step explanation:
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8
Answer:
B. 6 7/10
Step-by-step explanation:
We solve the above y by carrying out addition.
The quarts of Lemonade she made is calculated as:
1 2/5 quarts of syrup + 5 3/10 quarts of water
= 1 + 5 + (2/5 + 3/10)
Lowest common denominator = 10
= 6 ( 4 + 3/10)
= 6 7/10 quarts of Lemonade
Mrs Olive made 6 7/10 quarts of Lemonade
Help will give brainlist!
If correct. Thanks!
Answer:
B y=0.5x-1
Step-by-step explanation:
Answer:
Y=-1/2x-1
Step-by-step explanation:
The slope is found using rise/run
Y-int can be found on the graph
if x Multiplied by 7 = 21, what is x
Step-by-step explanation:
Given that x is multiplied by 7 = 21 Then
7 * x = 21
or x = 21/ 7
Therefore x = 3.
Answer:
Solution,
here,
x+7=21
x=21-7
Therefore,x=14
Drag the missing statements and reasons to the correct spot to complete the proof
Answer:
The two column proof can be presented as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
2. [tex]\overline{AD}[/tex] ≅ [tex]\overline{CB}[/tex] [tex]{}[/tex] Given
3. [tex]\overline{BD}[/tex] ≅
4. ΔABD ≅ ΔBCD [tex]{}[/tex] SSS
Step-by-step explanation:
Given that we have;
Segment [tex]\overline{AB}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CD}[/tex] of triangle ΔBCD and segment [tex]\overline{AD}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CB}[/tex] of triangle ΔBCD, and that the common segment [tex]\overline{BD}[/tex] of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
-7 - 2 ..........................................................
..
Answer:
-9 is the answer
Step-by-step explanation:
hope it helps!
Question 1 (1 point)
Find the area of the circle.
A) 37.82
B) 43.86
C) 17.72
D) 28.26
Answer:
ok
Step-by-step explanation:
A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation.
A. an = 11 + 4n
B. an = 4 + 15n
C. an = 19 + 4n
D. an = 15 + 4(n + 1)
Answer:
a
Step-by-step explanation:
i just took the test
The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n thus option (A) is correct.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.
As per the given,
Cost of a tie-dye kit + 1 T-shirt = $15
Additional T-shirt = $4
This, means,
Cost of a tie-dye kit + $4 = $15
Cost of a tie-dye kit = $11
The total cost with n number of T-shirts will be as,
[tex]a_{n}[/tex] = 11 + 4n
Hence "The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n".
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16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
Step-by-step explanation:
20.6 feet
hope it helps !
Answer:
c
Step-by-step explanation:
