Answers
Answer:
[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]
Step-by-step explanation:
Given;
[tex]\text{log}_a(2)=\frac{1}{2}[/tex]
[tex]\text{log}_a(3)=5[/tex]
By using logarithmic properties,
[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]
[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]
Related Questions
4. The ratio of skateboards to bikes is 3:1.
If there are 12 skateboards, how many
bikes are there?
A 1
B 2
C3
D4
Answer quick PLZZ no website
Answers
Answer:
D
Step-by-step explanation:
3 represents skateboards and 1 represents bikes. We need to get from 3 to 12 and 1 to the answer by using the same number you used to get from 3 to 12.
To get from 3 to 12 you multiply by 4
3*4=12
So let's go ahead and multiply 1 by 4 as well
1*4=4
Your ratio is now 12:4 and 4 stands for bikes so there are 4 bikes
explanation: 12/3 = 4
What are the solutions to 6x²-5x-4=0?
Answers
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
What is the slope of the line?
Answers
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answers
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answers
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answers
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Mrs. Kephat's sixth grade class has been collecting aluminum cans. They receive a dollar a can. What percent of the goal still needs to be achieved?
Answers
Answer: A. 40%
amount achieved: 600/1000 = 3/5
amount not achieved = 2/5
2/5 as percent is 40%
Tysm only this one left
Answers
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6
Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1
Answers
Answer:
y= -1/3x - 6
Explain:
For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be y = -1/3x - 6.
i need help :( this problem is very confusing
Answers
Answer:
Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD
Step-by-step explanation:
It's arithmetic b/c you're just adding 1
arithmetic
1
1
are the answers , the last one is b/c that's the common difference.
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
Answers
This would be unlikely because you only have a 6/100 chance of this happening. It’s rare but could happen. It isn’t likely that it will but it isn’t impossible. If it were 50-50, the percentage of chance would be 50%. So you are left with one option... unlikely.
Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answers
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answers
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
Ben decides to start a business walking dogs and cleaning swimming pools. It
takes him 15 minutes to walk one dog and 20 minutes to use a skimmer and clean
one swimming pool.
Which expressions would represent how long it would take ben to walk some dogs and clean some swimming pools?
A.
15+20
B.
15x + 20x
C.
35 + 20x
D.
20 + 35 + 2
Answers
Answer:
It would be B (15x + 20x)
HELP PLEASE ASAP i need the help right answers only!
Answers
Answer:
8
Step-by-step explanation:
good luck. hope this helps.
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Answers
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
HELP ME ASAP!!!!!!!!!
Please help
See picture attached.
WINNER GETS THANKS, A STAR RATING-EXCELLENT AND BRAINLIEST!!!!!!!!!! Good Luck!
Happy Easter!
apokibunnyavatar
Answers
Answer:
23,26,29,32,35,38,41,44
Step-by-step explanation:
In mathematics, WHOLE NUMBERS are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
Answers
Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.
Answers
Answer:
20.4
Step-by-step explanation:
The answer is 2011.4
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answers
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
Mr. Bumpkin was
planting vegetables in his
garden. His garden was 4
leet long and 2 feet wide.
What is the area of his
garden
Answers
Answer:
8 feet²
Step-by-step explanation:
A = lw
A = 4(2) = 8 ft squared
Answer: 8 feet squared
Step-by-step explanation:
area=lw
area=4x2
area=8
please help there is a picture below
Answers
Answer:
4 glasses, point is (32,4)
Step-by-step explanation:
Really tired but if you want an explanation, do tell me.
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answers
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
Find out more information about probability here:
https://brainly.com/question/24756209
what is 2.1 times 3.2 find the missing partial products HELP.
Answers
Given:
The area model for [tex]2.1\times 3.2[/tex].
To find:
The value of [tex]2.1\times 3.2[/tex] and the missing values in the area model.
Solution:
2.1 can be written as 2 and 0.1 on the left side of the area model.
3.2 can be written as 3 and 0.2 on the top of area model.
Area of the four parts of the area model are:
[tex]2\times 3=6[/tex]
[tex]2\times 0.2=0.4[/tex]
[tex]0.1\times 3=0.3[/tex]
[tex]0.1\times 0.2=0.02[/tex]
The complete area model is shown below.
After adding all areas of the area model, we get
[tex]6+0.4+0.3+0.02=6.72[/tex]
Therefore, the value of [tex]2.1\times 3.2[/tex] is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.
If x=7 and y=−3, evaluate the following expression:3x−y2
Answers
21-6=15
the answer is 15
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answers
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answers
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
Answers
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
Find out more on equation at: https://brainly.com/question/2972832
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Passes through the points (-2, 1) and (2, 3)
Answers
Answer:
slope 1/2
Step-by-step explanation:
Please help it’s a group assignment and due today (no links!)
Answers
Answer: problem 1 A
Step-by-step explanation: