Answer:
Answer(s): (2,0,-4,-5)
log12 144 = 2
log15 1 = 0
log3 ( 1/ 81 ) = -4
log 0.00001 = -5
The values of the expression are,
1. 2
2. 0
3. -4
4. -5
What is Logarithm?How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).
For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).
Given that;
We have to use the property as;
aᵇ = x then
b = logₐx
So, we get;
log₁₂ 144 = a
12ᵃ = 144
12ᵃ = 12²
On comparing the base
= 2
Now, second is,
log₁₅ 1 = a
15ᵃ = 1
a = 0
Now, log₃ (1/81)
3ᵃ = 1/81
3ᵃ = 3⁻⁴
a = - 4
And, log 0.00001
= log (10)⁻⁵
= -5 log 10
= -5
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John changes £450 to euros.
The exchange rate is £1 = 1.16 euros.
Change £450 to euros.
1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5
4x + 5: m = 4
8x - 3: m = 8
1/2x - 4 = x/2 = -4
0.5x + 3.5: m = 0.5
Evaluate x+y
when x=−4/5
and y=1/3
. Write your answer as a fraction or mixed number in simplest form.
Answer:
4/5+1/3=1 2/15
Step-by-step explanation:
help, please see picture, and explain: no decimals please,
[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]
[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]
[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]
Rational Expressions Multiplying I need to know how to do it
Answer:
(x -3)/4
Step-by-step explanation:
You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.
[tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]
We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.
type the dimensions of a different shaped box that has the same volume
Step by Step Explanation:
120ft³ = 3ft × 4ft × 10ft
120ft³ = 1ft × 1ft × 120ft
120ft³ = 2ft × 2ft × 30ft
120ft³ = 5ft × 3ft × 8ft
...
Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.
Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
Answer:
1) The convers of the conditional statement is;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) The convers of the conditional statement is true
Step-by-step explanation:
1) The given statement is presented as follows;
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
The hypothesis = A class has 3 left-handed people and 24 right-handed people = p
The conclusion = The ratio of lefties to righties is 1:8 = q
We have;
If p, then q which is p → q
The converse statement = If q, then p which is q → p
Then the converse of the conditional statement can be written as follows;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.
In the function f(3) = 9 the input is
Answer:
Your answer is 3
Step-by-step explanation:
3 x 3 = 9
Answer:
The answer is 3 like so take 9÷3=3 or 3x3=9.
For rhis problem you will have to simplify correctly .
Answer:
Step-by-step explanation:
Answer:
The mistake was -9, the answer is 1x -6
Step-by-step explanation:
3 (x - 6) + (4x + 12) - 6x =
3x - 18 + 4x + 12 - 6x = (use distributive property for this step)
3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)
1x - 6 (use addition and subtraction to get the final answer)
I hope this helps you :)
can someone pls solve 8 < 4r < 12
8 < 4r < 12
Solve for r by dividing all terms by 4:
2 < r < 3
4. You put $420 into a savings account with an interest rate of 8% compounded annually which earns $33.60 over a period of time. How long was the period of time?
(how to find compound interest time)
Answer: 1 year
Step-by-step explanation:
[tex]\mathrm{Compound \ Interest \ Formula}\\$$\begin{aligned}&A=p\left(1+\frac{r}{n}\right)^{n t} \\&A=420+33.60=\$ 453.60 \\&p=\$ 420 \\&r=8 \% \\&n=1\end{aligned}$$[/tex]
[tex]\mathrm{Solving \ for \ t:}[/tex]
[tex]$$\begin{gathered}453.60=420\left(1+\frac{8}{100}\right)^{1 . t} \\453.60=420\left(\frac{108}{100}\right)^{t} \\\frac{453.60}{420}=\left(\frac{108}{100}\right)^{t} \\1.08=(1.08)^{t}\end{gathered}[/tex]
[tex]\mathrm{Taking \ log \ of \ both \ sides}\\\log 1.08=\log (1.08)^{t}$ \\\log 1.28=t \log (1.08)$ \\1=t$ \\$t=1$\\[/tex]
Therefore, the period of time taken to earn $33.60 was 1 year
What is the overlap of Team 1 and Team 2? high medium low none.
The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.
Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.
The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.
In the attached image, it seen that the overlap of the team one and team 2 is higher.
Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.
Learn more about the dot plot here;
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My car travels at 600 miles in 4 hours, my is my cruising speed. This is a science question but it has math so please help
Answer:
yikes 150mph
Step-by-step explanation:
i need help with my math asap
Answer:
Q2. yards/ second= 92/8 = 11.5
Q3. 192/6 =32
Q4 123/15 =8.2
Q5. 192/3 =64
remember you need to add the unit
Step-by-step explanation:
coffe beans are packaged in 50 kg cartons with an allowable error of 0.7 percent what is the acceptable weight range for a carton of coffee beans?
Answer:
0.35
Step-by-step explanation:
you mutiply 50 times 0.7%
Answer:
It is 50.35 kg
Step-by-step explanation:
50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)
0.35 + 50 = 50.35 kg
I hope my answer helps :)
sioban scores 4 out of 10 marks in a science test
what is her score as a percentage
Answer:
40%
Step-by-step explanation:
4/10 = 40/100 = 40%
If you need further explanation, let me know!
- profparis
Pleaseee helppp me question 2 !!!
Answer:
2.is a function
Domain:(0,1,2,3)
Range: (0,-1,-2,-3）
3. Not a function
4. Is a function
D:(0,1,2,3)
R:(1,2,3,4,)
A pet store is advertising that everything is 20% off the entire weekend. You also have a coupon for an additional 10% off your entire purchase after any store discounts. If the total bill is $56 before any discounts are applied, what will you pay after the discounts are applied?
What is the amount of the 20% discount? $______
What is the bill after the 20% discount? $______
What is the amount of the additional discount of 10%? $_______
What is the final cost after the additional discount? $_______
Answer:
The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32
Read the sentence. The person on trial for theft was found guilty by a jury, and once a jury announces a verdict, that decision is final. Which word in the sentence is the best clue to defining the word verdict?
A. theft
B. guilty
C. jury
D. decision
Answer:
The answer that yoy are looking for is D
Step-by-step explanation:
HOPE THIS HELPS :)
Answer:
D
Step-by-step explanation:
I did the quiz on edge
name a pair of angles that are a linear pair.
Answer:
D: PUR and SUR
Step-by-step explanation:
A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.
The answer is D) <PUR and <SUR
A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles formed by two intersecting lines.
PLZ HELP!!!
A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.
Which of the given statements is true?
A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0
The experimental probability of drawing blue is 1/2. Then, option A is correct.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.
The probability is calculated as:-
P = 5 / 10 = 1 / 2
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help me please on this question
Answer: 50
Step-by-step explanation:
equation is 5x-40+150=360
combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50
A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?
The perimeter is the all the side's lengths added up together
-- so: Perimeter = 2 + 10 + 2 + 10 = 24 feet
Hope that heped!
What is the probability of rolling a number less than 3?
Answer:
2/6
Step-by-step explanation:
possible outcomes are 1, 2, 3, 4, 5, and 6. since there are 6 outcomes its out of 6. less that 3 is 1 and 2. 2/6
1/3
olivia is looking at a map with a scale of 1cm : 18km. if the actual area of a farm is 2106 km (squared), what is the area of the farm on the map?
1 cm.......18 km
so area
1 cm² = 18x18 = 324 km²
n cm² = 2106 km²
324 x n = 1 x 2106
n = 2106 : 324 = 6,5 cm²
What is 1 1/5 as a decimal
Answer:
1.2
Step-by-step explanation:
1/5 = 0.20
1.2
Hope this helped!
Answer:
Step-by-step explanation:
2.2
What percent of 72 is 9?
18%
114%
1212%
125%
Answer:
125%
Step-by-step explanation:
i have an answer of that
What is the total price of a $5 book with a 10% sales tax?
solve pls brainliest
I believe the answer is 21/32
A boat travels 452 km in 17 hours (with a constant speed). How far can it travel in 9 hours (with the same speed)?
Answer:
so first we have to find km per hour
so lets divide 452/17=26.5882352941
so it travels 26.6 km per hour so lets mulitply for the 9 hours
26.6*9=239.4
it can travel 239.4 km in 9 hours
Hope This Helps!!!