Answer:
$0.75
Step-by-step explanation:
Since f(x) is linear, the rate of change is is the coefficient of x
Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 4 7 plus space log subscript 4 10
The logarithm expression as a single logarithm is log 4 70.
Logarithm expression of Log 4 7 + log 4 10 = log 4 70.
Log 4 7 + log 4 10
The properties of logarithm is product rule.
Log 4 7 + log 4 10 = Log 4 7 * 10
= log 4 70
It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.
We can apply the quotient rule to find the differentiation of a function.
In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
Hence, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
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n recent years, shopping malls have become a favorite site for companies to test consumers’ responses to new products through interviews. These interviews, called “mall intercepts,” have largely replaced door-to-door interviewing because they are relatively quick and inexpensive. Research has shown that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. (a) Can consumers interviewed in this manner be considered a random sample of the population as a whole? Explain. (b) Is the sample a random sample of people who go to malls? Explain. (c) What about just for people who go to that mall? Explain. \
A. The consumers interviewed in this manner can be considered a random sample of the population as a whole.
B. The sample is a random sample of people who go to malls.
C. It should be noted that the sample applies for just for people who go to that mall.
How to illustrate the information?It should be noted that in a random sample, everyone has an equal chance of being selected.
In this case, the consumers interviewed in this manner can be considered a random sample of the population as a whole. Here, everyone had an equal chance of being picked.
In this case, the sample is a random sample of people who go to malls.
It should be noted that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. This will give the random sample of the people.
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$5.250 marked down 15%
What is 188.4÷60??? Thank you
Answer: 3.14
Step-by-step explanation:
Use the algorithm method.
3 . 1 4
6 0 | 1 8 8 . 4
1 8 0 .
8 . 4
6 . 0
2 . 4 0
2 . 4 0
2 Therefore, 188.4\div 60=3.14188.4÷60=3.14.
3.14
Evaluate (4X-4)(x+1) where X=3
Can someone help with this question?✨
The equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5
How to find the equation of a line perpendicular to another ?The equation of the line is perpendicular to y = 2x + 2 and passing through the points (4, 3).
Perpendicular lines follows the principle below:
m₁ m₂ = -1
where
m₁ and m₂ are the slopes.Therefore,
2m₂ = -1
m₂ = - 1 / 2
Let's find the y-intercept of the line using (4, 3).
y = - 1 / 2 x + b
3 = - 1 / 2 (4) + b
3 = - 2 + b
b = 3 + 2
b = 5
Therefore, the equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5
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- 4/5w = -1 find w please
Answer:
The value of w = 4/5
Step-by-step explanation:
=> -4/5w = -1
=> -4 = -5w
=> 4 = 5w
=> w = 4/5
Answer:
5/4
Step-by-step explanation:
Which two tables represent the same function?
xy
48
6 7
xy
45
64
ху
28
85
xy
2 10
6 14
xy
29
8 6
1st and 5th tables represent the same function
To find the two equal functions we will formulate their equations, using the formula [tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex] where (x1,y1) and (x2,y2) are the endpoints of the equation.
Now finding the equation for each table we get:
Table 1:
(x1,y1) = (4,8) and (x2, y2) = (6,7)
Putting this in the formula we get:
= [tex]\frac{y-8}{x-4} = \frac{7-8}{6-4}[/tex]
So, the equation will be x + 2y = 20
Table 2:
(x1,y1) = (4,5) and (x2, y2) = (6,4)
Putting this in the formula we get:
= [tex]\frac{y-5}{x-4} = \frac{4-5}{6-4}[/tex]
So, the equation will be x + 2y = 14
Table 3:
(x1,y1) = (2,8) and (x2, y2) = (8,5)
Putting this in the formula we get:
= [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]
So, the equation will be x+2y=18
Table 4:
(x1,y1) = (2,10) and (x2, y2) = (6,14)
Putting this in the formula we get:
= [tex]\frac{y-10}{x-2} =\frac{14-10}{6-2}[/tex]
So, the equation will be x-y=-8
Table 5:
(x1,y1) = (2,9) and (x2, y2) = (8,6)
Putting this in the formula we get:
= [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]
So, the equation will be x+2y=20
Hence, table 1 and table 5 represent the same function
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Solve the inequality.
|x + 1| < 27
[?] < x < [ ]
Answer:
|x + 1| < 27
-27 < x + 1 < 27
-28 < x < 26
Tickets to a concert a Lake Sumter Community College cost $5 for general admission or $4
with a student ID. If 184 people paid to see the concert and $812 was collected, how many
of each type of ticket were sold?
On the basis of total cost per day for business travel to New York City and Washington DC
The required number of general admissions is 76 and the number of admission with student id is 108.
Here,
let the number of general admissions be x and the number of the admission with student id be y
Using arithmetic operations
According to the question,
x + y = 184
x = 184 - y - - - -(1)
5x + 4y = 812 - - - - (2)
From equation (1)
5 (184 - y) + 4y = 812
920 - 5y + 4y = 812
-y = 812 - 920
-y = 108
y = 108
Put y in equation 1
x = 184 - 108
x = 76
Thus, the required number of general admission is 76, and the number of admission with student id is 108.
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Helllllp
A construction crew has just built a new road. They worked for 6 weeks. They built the road at a rate of 7.68 kilometers per week. How many kilometers of road
did they build?
Answer:46.08
Step-by-step explanation the only thing you has to do was multiply your keyword was per I hope this helps
which one is the correct answer?
Answer: D 28
Step-by-step explanation:
use the formuls x= -b/2a
the maximum is 28 and the minimum is 2
pls help - find the measure of 6
The measure of the ∠6 which is interior to 144° measures 36°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed at a point where two or more lines intersect. We have acute angles, right angle and obtuse angle depending on the angle measure.
From the diagram:
∠6 + 144 = 180° (interior angles are supplementary)
∠6 = 36°
The measure of the ∠6 which is interior to 144° measures 36°
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What is the conjecture of pattern -3, 6, -9, 12
The conjecture of the pattern - 3, 6, - 9, 12 is all the set of series generated by the expression s = (- 1)ⁿ · 3 · n.
What is the conjecture behind a pattern of an arithmetic sequence?
In this problem we have a sequence with a pattern, which has to be translated into mathematical expressions. We notice two features of this sequence:
The elements of the sequence are multiples of 3.Two consecutive elements have signs opposite to each other.Then, the pattern can be generated by using the following expression:
s = (- 1)ⁿ · 3 · n
Now we check if the pattern is the same as the shown in the question:
n = 1
s = (- 1)¹ · 3 · 1
s = - 3
n = 2
s = (- 1)² · 3 · 2
s = 6
n = 3
s = (- 1)³ · 3 · 3
s = - 9
n = 4
s = (- 1)⁴ · 3 · 4
s = 12
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In Tacoma, the tax on a property assessed at $330,000 is $4,950. If the tax rates in San Francisco are proportional to Tacoma, how much would the tax be on a property assessed at $860,000?
The tax on a property in San Francisco with an assessed value of $860,000 will be $
In San Francisco, the tax on a property with a $860,000 assessed value is $12900.
In Tacoma, the tax on a property assessed at $330,000 is $4,950.
The tax rates are proportional to this city.
Now, to find the tax on a property assessed at $860,000.
So, we need to determine the tax rate of Tacoma first.
Tax Rate = Tax / Property assessed × 100.
[tex]Tax {~}rate = \frac{4950}{330000} \times 100[/tex]
Tax rate = 0.015 × 100
Tax rate = 1.5%
From the question, the tax rates are proportional.
Now, we apply the same tax rate as Tacoma in this city:
Tax = tax rate of property assessed.
Tax = 1.5% of $860,000
[tex]Tax=\frac{1.5}{100} \times 860000[/tex]
Tax = 1.5 × 8600
Tax = $12900
Therefore, the tax on property in San Francisco assessed at $860,000 is $12900.
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In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?
Answer:
3/4
Step-by-step explanation:
If you do a ratio, 18 blue cars to 24 total cars, that would be 18:24. If you simplify that, then you would be left with 3:4. So for every 4 cars, 3 are blue. So 3/4 of the cars in the parking lot are blue.
what does 10x10x10+1-2+1 equal
Answer:
The answer is 1000
Step-by-step explanation:
10x10=100
100x10=1000
1000+1=1001
1001-2=999
999+1=1000
Answer:
1000
Step-by-step explanation:
10x10=100
100x10=1000
1000+1=1001
1001+1=1002
1002-2=1000.
therefore the answer is 1000
How many solutions does this equation have? 6(x + 1) + 5 = 13 - 2 + 6x
Answer:
Step-by-step explanation:
So you start out with this equation
6(x+1)+5=13-2+6x
you simplify it down to get
6x+11=6x+11 if they are the same then there fore you answer is
Infinite solutions
If the New York is 3,000 miles from the Bay area, and a car you are road tripping in can travel
500 miles a day, how many days will it take to reach New York?
Answer:
Step-by-step explanation:
3,000 divided by the 500 is 6. It would take 6 days.
When you come across problems like this usually the best way to answer them is d (distance) divided by s (speed, miles per day, miles per hour, miles per second, etc.).
Which answer is equivalent to 5−2⋅924⋅4−3?
Answer:
-7390
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Addition
Subtraction
5-2x924x4-3
First do multiplication or division what ever comes first and then addition or subtraction what ever comes first from left to right.
5-1848x4-3
5-7392-3
-7390
Find the value of each follow expression use a title diagram or a number line to help you 3(4)
The value of the expression 3(4) can be expressed as 12 with the help of a title diagram or a number line and the explanation for this same can be done easily if we take into consideration a number line.
What does the math number line mean?A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It can also be assumed that every point present on a number line corresponds to a real number, and that every real number also corresponds to a point.
To solve this expression, we can deduce as follows:
As per the number line, for the expression 3(4).
Since it is absolutely positive, thus we will get the final answer in positive that means on the side of the number line lying right to zero.
To express this expression,
3 (4) means we have to move towards the right side of the number line from zero for 4 times and each time covering a total of 3 units each.
Thus, we start from zero, first time we reach 3 then 6, then 9 and then finally 12.
Thus, the value of the expression is received as 12.
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The logarithm is used to define compressed scales, resulting in a decompression of the data.
True
False
The logarithm is used to define compressed scales, resulting in a decompression of the data is a true statement.
A logarithmic scale is a nonlinear scale often used when analyzing a large range of quantities. Instead of increasing in equal increments, each interval is increased by a factor of the base of the logarithm. Typically, a base ten and base e scale are used.
Data compression is the art of reducing the number of bits needed to store or transmit data. Compression can be either lossless or lossy. Losslessly compressed data can be decompressed to exactly its original value.
Information theory places hard limits on what can and cannot be compressed losslessly, and by how much:
There is no such thing as a "universal" compression algorithm that is guaranteed to compress any input, or even any input above a certain size. In particular, it is not possible to compress random data or compress recursively.
Given a model (probability distribution) of your input data, the best you can do is code symbols with probability p using log2 1/p bits. Efficient and optimal codes are known.
Data has a universal but uncomputable probability distribution. Specifically, any string x has probability (about) 2-|M| where M is the shortest possible description of x, and |M| is the length of M in bits, almost independent of the language in which M is written. However there is no general procedure for finding M or even estimating |M| in any language. There is no algorithm that tests for randomness or tells you whether a string can be compressed any further.
Thus , It is true to say that the logarithm is employed to establish compressed scales, leading to a decompression of the data.
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Rearrange the equation and solve for v, a, and t.
[tex]d=vt+\frac{1}{2}at^2[/tex]
Rearranging the equation to solve for the variables gives;
v = d - at^2/t
a = 2d - 2vt/t^2
How to solve for the variablesGiven the equation;
d = vt + 1/2 at^2
Let's solve for v
First, collect like terms
vt = d - 1/2 at^2
Now, divide both sides by the coefficient of v which is 't', we have;
vt/t = d - at^2/t
v =
[tex] \frac{d - a {t}^{2} }{t} [/tex]
Let's solve for a
d - vt = at^2/2
cross multiply
2( d - vt) = at^2
expand the bracket
2d - 2vt = at^2
divide both sides by the coefficient of a which is t^2, we have;
2d - 2vt /t^2 = a
a = 2d - 2vt/t^2
Thus, rearranging the equation to solve for the variables gives v = d - at^2/t and a = 2d - 2vt/t^2 respectively.
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CALCULUS:
The position in feet of a race car along a straight track after t seconds is given by s(t) = t^2 − 4t + 4. Find its instantaneous velocity at t = 2 seconds.
The velocity of the car at t = 2 seconds is 0 ft/second.
How to find the instantaneous velocity at t = 2 seconds?We know that the position equation (in feet) of the race car is:
s(t) = t^2 - 4t + 4
To get the velocity equation we need to find the first derivative of the position equation, we will get:
v(t) = 2t - 4
Now we just need to evaluate this in t = 2 seconds, we will get:
v(2) = 2*2 - 4 = 4 - 4 = 0
The velocity of the car at t = 2 seconds is 0 ft/second.
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PLS HELP I NEED THE EQUATION IN SLOPE INTERCEPT Or POINT SLOPE FORMAT
Answer: [tex]y=\frac{3}{4}x+5.8[/tex]
Step-by-step explanation:
We can think of this as a linear function with the slope being the 3/10 of a mile and the y intercept being the initial amount you can run.
So, using the information about 24 weeks, we get that:
[tex]13=\frac{3}{10}(24)+b\\\\b=5.8[/tex]
So, the equation is [tex]y=\frac{3}{4}x+5.8[/tex]
4. Stanley quilts a square rug that has an area of 400 square inches. What is the length of each side of the
rug?
A. 14 inches
B. 16 inches
C. 18 inches
D. 20 inches
Answer:
D. 20 inches
Step-by-step explanation:
Area = length * width
20 * 20 = 400 square inches
20 inches
what is the surface area of a cylinder with a height of 8 feet and a base of 6 feet
The surface area of a cylinder = 527.52 feet
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.
The total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area:
total area = base area + lateral area ,
or
total area = 2πr² + (2πrh ),
or
total area = 2πr (r + h)
where h= Height
r= Radius
given that
height = 8 feet
base radius = 6 feet
Find the lateral surface area of a cylinder with a base radius of 6 feet and a height of 8 feet.
L.S.A.=2π(6)(8)=96π feet
for the total surface area of a cylinder is T.S.A.=2πrh+2πr².
T.S.A. = 96π + 2π (6²)
T.S.A. = 96π + 72π
T.S.A. =168π
where π= 3.14
T.S.A. = 168×3.14
T.S.A. = 527.52 feet
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Can anyone answer this question please
Answer:
30/5
15/5
-15/5
-10/5
Step-by-step explanation:
Solve for Y
19= y/5 + 16
The solution to the given equation 19= y/5 + 16 is y = 15.
What is the solution to the given equation?Given the equation in the question;
19 = y/5 + 16y = ?First reorder the equation by moving all terms not containing y to the right side of the equation.
19 = y/5 + 16
19 - 16 = y/5
y/5 = 19 - 16
Subtract 16 from 19
y/5 = 19 - 16
y/5 = 3
Multiply both sides of the equation by 5
5( y/5 ) = 3 × 5
5y/5 = 15
y = 15
Therefore, the solution to the given equation 19= y/5 + 16 is y = 15.
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8. William gave the cashier $20, for 3 hamburgers. The cashier gave him back $4.70. Each hamburger cost the same amount. What was the cost of each hamburger in dollar and cents?
Please help me!!