Answers
Answer:
0.903
Step-by-step explanation:
[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]
Related Questions
1. Which equation does not match the diagram? A. 6 +3x= 30
B. 3(x+6) = 30
C. 3x = 30- 6
D. 30 = 3x + 6
Answers
Answer:
B
Step-by-step explanation:
The solution is Option B.
The equation which does not satisfy the relation is 3 ( x + 6 ) = 30
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of x in the diagram be = 3
So , the total number of x = 3x
The sum of the values in the box = 30
So , the equation will be
6 + x + x + x = 30
On simplifying the equation , we get
6 + 3x = 30 be equation (1)
a)
6 + 3x = 30
The equation satisfies
b)
3 ( x + 6 ) = 30
On simplifying the equation , we get
3x + 18 = 30
The equation does not satisfy
c)
3x = 30 - 6
Adding 6 on both sides of the equation , we get
3x + 6 = 30
The equation satisfies
d)
30 = 3x + 6
The equation satisfies
Hence , the equation which does not satisfy the relation is 3 ( x + 6 ) = 30
To learn more about equations click :
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Sergio claims that 20/20 equals 1% . Which statement is true regarding his claim? A .Sergio is correct because 20/20 equals 1% B . Sergio is correct because 20 out of 20 represents 1 whole. C. Sergio is incorrect because 20/20 equals 100/100 D.Sergio is incorrect because the ratio simplifies to 0.
Answers
Step-by-step explanation:
Percentage = (20/20) * 100% = 100%.
Hence Sergio is incorrect because 20/20 equals 100/100, so it would be 100% instead of 1%. (C)
Answer:
Percentage = (20/20) * 100% = 100%.
Step-by-step explanation:
What is the slope of the line represented by the equation y=X3?
40 Points I need help doing a test !!
Answers
Answer:
B
Step-by-step explanation:
trust
Answer:c) 4/5
Step-by-step explanation:
y= mx+c, here, m is the slope.
In this case, m= 4/5, c= -3
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answers
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
The area of a square shaped park measures 16900 square feet. How many feet of fencing would be needed to enclose that park?
Answers
Answer:
520 feet
Step-by-step explanation:
The area=16900
Area formula=b^2
b^2=16900
square root of 16900=130
130*4=520
solve the equations 7(x+4)=21
iready
Answers
Step-by-step explanation:
[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]
[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]
[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]
[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]
[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]
[tex]\bullet\rightharpoonup\sf x=-1 [/tex]
Expand and simplify
3(x + 5) + 2(x + 4)
Answers
3x+15+2x+8
The answer is 5x+23
Answer:
5x + 23
Step-by-step explanation:
3 ( x+5) + 2 ( x+4 )
3x+15+2x+8
3x+2x+8+15
5x+23
There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?
Answers
95 divided by 7 is 13.57 so Round up to 14.
Answer:
about 14 chairs
Step-by-step explanation:
All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14
true or false all states have a sale tax
Answers
Answer:
False
Step-by-step explanation:
As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.
2.3a+3.5b-1.8a-2.7b simplify. Show work.
Answers
Answer:
a = -1.6b
Step-by-step explanation:
Simplifying
2.3a + -1.8a + 3.5b + -2.7b = 0
Combine like terms: 2.3a + -1.8a = 0.5a
0.5a + 3.5b + -2.7b = 0
Combine like terms: 3.5b + -2.7b = 0.8b
0.5a + 0.8b = 0
Solving
0.5a + 0.8b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.8b' to each side of the equation.
0.5a + 0.8b + -0.8b = 0 + -0.8b
Combine like terms: 0.8b + -0.8b = 0.0
0.5a + 0.0 = 0 + -0.8b
0.5a = 0 + -0.8b
Remove the zero:
0.5a = -0.8b
Divide each side by '0.5'.
a = -1.6b
What is the value of the expression shown? 4[4.5 − 2(1.2)]
Answers
2x1.2
4(4.5-2.4)
4 x 2.1
8.4
ANSWER: 8.4 or 8 2/5 or 42/5
please mark brainliest if my answer is correct;)
Convert Repeating Decimal to Fraction
Convert the repeating decimal to a rational number.
ITEM BANK: Move to Bottom
4936/990
530/900
4311/9900
8099/990
674/990
0.4354 drag and din answer har
0.58 drag and drop wether
0.680 - drag and drop shower bord
4.985 - drag and drop antworten
8.180ding and dan wel
Answers
Step-by-step explanation:
0.345454...... = 4311/9900
0.5888..... = 530/900
0.68080..... = 674/990
4.98585..... = 4936/990
8.18080...... = 8099/990
4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?
Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.
Balanced equation: 1N2 (g) + 3H2(g) 2NH3(g)
Molar mass of H2 = g/mol
100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3
Molar Mass of N2 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3
A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product
B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product
C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3
Answers
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
What is 3×7×7×7×7 using index notation
Answers
Answer: 3 x 7^4
Because there's one 3 & four 7's .
Step-by-step explanation:
Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?
Answers
Answer:
.........................
Answer:
200
Step-by-step explanation:
she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answers
Answer:
There is no other way you can expand the brackets
Step-by-step explanation:
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answers
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)
Answers
Answer:
We see that the original material was a base, after adding the other material into the base it reduces its basicity.
So we can infer that the substance added was an acid as if we add bases it will increase the basicity.
PLZ MARK BRAINLIEST
What is the numerical expression of 28
Answers
Answer:
the answer is 5 i think
Step-by-step explanation:
Will give brainliest please help
Answers
Answer:
49
Step-by-step explanation:
In the middle of the figure , there's a square whose each side length is 7. So area of the square will be [tex] {7}^{2} = 49 \: {unit}^{2} [/tex]
16 liters to quarts (dry measure)
Answers
Answer:
16 litres =14.53 US qt dryStep-by-step explanation:
Please mark my answer as a brainliest. ❤❤❤Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answers
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
PLEASE HELP!! I will mark brainliest
Answers
Answer:
the top one and bottom one
Step-by-step explanation:
Answer:
first and sixth
Step-by-step explanation:
they match
Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answers
Answer:
a
Step-by-step explanation:
24) 30 people are running a 5k. How many different ways can the runners finish in 1st, 2nd, and
3rd place?
Answers
Answer:
90 different ways
Step-by-step explanation:
30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.
Can someone help please
Answers
Answer:sorry i cant
Step-by-step explanation:
Solve for x. 2x – 16 = -9
Answers
Answer:
x = 7/2
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
2x-16=-9
2x=-9+16
2x=7
x=7/2 or 3.5
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answers
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
Please help!! I have trouble in math and will give points and thanks for this!!
Answers
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answers
Answer:
The mode are: 7, 8
Step-by-step explanation:
Given
[tex]7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7[/tex]
Required
Determine the mode
We start by arranging the given data in ascending order
The ordered data are:
[tex]7,7,7,7, 8,8,8,8, 10, 11, 11[/tex]
From the above data.
7 has a frequency of 4
8 has a frequency of 4
10 has a frequency of 1
11 has a frequency of 2
The data with the highest frequency is the mode.
We can see that 7 and 8 both have frequencies of 4
Hence, the mode are: 7, 8
Answer:
The mode are: 7, 8
Step-by-step explanation: