Answer:
The range of F(x) = logo x is the set of all real numbers is True.
Step-by-step explanation:
Yes, Because range of the logarithmic function is the set of ''all real numbers.'
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = log x
Now,
The given function is a logarithmic function.
And, The range of the logarithmic function is the set of all real numbers.
Hence, The range of function F(x) = log x is the set of all real numbers.
Thus, The range of F(x) = log x is the set of ''all real numbers''.
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or
Find the slope of the line
y
=
9
5
x
−
9
5
.
If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
True or false
1: 4h and 4g are like terms: True or false?
2: 4x and 4xy are like terms. True or false?
3: the coefficient is the number by its self. True or false?
4: in the expression x-4+(-5x), the constant is 4. True or false?
5: in the expression x-4+(-5x), the constant is -4. True or false?
6: in the expression x-4+(-5x), the coefficient -5 is . True or false?
You dont need to explain the steps, if you like you may
Answer:
1 is true
2 is true
3 is true
4 is false
5 is true
6 is true
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
NO LINKS!!!!!!!
What is the approximate discount on the calculator?
20%
25%
30%
35%
Answer:
A 20
Step-by-step explanation:
If you subtract 89.99 -68.25 you will equal 20
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
P and R
Step-by-step explanation:
P and R are similar because R is the same thing as P but 2 times bigger.
4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?
a.3/2
b. -2/3
C.-3/2
d. None of the above
Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?
The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
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Decimals Write decimal in standard form
Answer:
0.81
Step-by-step explanation:8x1x1x 1/10 +1x1/100=0.81
Which of the following is not equivalent to 23 + (-27) - 16-(-32)?
23 – 27 – 16 + 32
o 23 – 27 – 16 – (-32)
O
23 + (-27) + 16 + 32
o
23 + (-27) + (- 16) - (- 32)
Answer: 23 + (-27) + 16 + 32 is not correct
Step-by-step explanation:
23 + (-27) + 16 + 32 is not correct
23 + (-27) + 16 + 32 The +16 should be -16
PLS HELP WILL MARK BRAINLIEST! ANSWER W/ SOLUTION
[tex] = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
Can you help me please and thank you.
Answer:
The length is 40m
Step-by-step explanation:
Length = x
P = 2x + 2W
118 = 2x + 2(19)
118 = 2x + 38
118 - 38 = 2x
80 = 2x
80/2 = x
40 = x Length
y = amount of $ paid for the job
y + $48 = $200 total job for 3 -hours
y ÷ 3 amount paid per hour
A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?
Answer:
25 pesos 80 pw
pesos I'm not sure
Step-by-step explanation:
25. 80
Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
Step-by-step explanation:
Given:
Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢System as per question:
a + l = 1735a + 15l = 395Or
a + l = 170.35a + 0.15l = 3.95Step-by-step explanation:
Let the number of apples be a and lemons be l . Then ,
=> a + l = 17
Also ,
=> 35a + 15l = $ 3.95
-18<3(x+2)<12
⚠️Compound Inequality⚠️
Answer:
-8<x<2
Step-by-step explanation:
divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2
At Keller's Bike Rentals, it costs $36 to rent a bike for 7 hours.
How many hours of bike use does a customer get per dollar
Answer:
I'm sure it's 43 rent a bike cause I'm fat
What are the roots of the equation x²+2x+17=0 in simplest a+bi form?
Answer:
-1 ±4i
Step-by-step explanation:
The quadratic can be written in vertex form as ...
x² +2x +17 = 0
(x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square
(x +1)² = -16 . . . . . . . . . . . . subtract 16
x +1 = ±√(-16) = ±4i . . . . take the square root
x = -1 ±4i . . . . . . . . . . . subtract 1
The roots of the equation are x = -1-4i and x = -1+4i.
_____
Additional comment
It can be worthwhile to remember the form of a perfect square trinomial:
(x +a)² = x² +2ax +a²
If you know the coefficient of x, you can use half of it as the constant in each binomial factor.
In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.
The roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].
To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.
The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
We have a = 1, b = 2, and c = 17.
Substituting these values into the quadratic formula, we get:
[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]
[tex]x = \frac{-2 \pm 8i}{2}[/tex]
[tex]x = -1 \pm 4i[/tex]
So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.
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What is the least common denominator for 5 and 16
Answer: 80
Step-by-step explanation:
16, 32, 48, 64, 80
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80
The formula d=rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles.
What is the average speed of the truck?
A. 38 miles per hour
B. 50.7 miles per hour
C. 74.5 miles per hour
D. 114 per hour.
Please help fast, this test is already late and I'm super stuck. Thanks!
Answer:
50.7 miles per hour
Step-by-step explanation:
I ve seen this question before
Deside whether g(x) = 2x^3 - 7x^2 - 3x^-1
3/8 rounded to the nearest thousand
Answer:
0.38
Step-by-step explanation:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
3 / 8 = 0.375
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 375
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule II applies, so 3/8 (or 0.375) rounded to the nearest hundredth in decimal format is:
0.38
Answer:
.375
Step-by-step explanation:
3/8=.375
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2
Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , − 2 )
B. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
C. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
D. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , 2 )
PLEASE HELP will give 40 points
Answer:
Here are your 3 answers! Hope this helps please mark brainliest! Thanks :)
Step-by-step explanation:
11. X=10
12.X=-9
13.X=7
Answer:
The first one x = 10.
The second one x = -9
The third one x = 7
Step-by-step explanation:
pls help asap MIDSEGMENTS
Answer:
56 degrees
Step-by-step explanation:
The midsegment is parallel to a side and the other side is a transversal. Using the Corresponding Angles Theorem, you get that m<1=56 degrees
What is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?
Answer:
y=-x-4
Step-by-step explanation:
Helppppppppplplppppai
Answer:
D.
Step-by-step explanation:
Well, here we look at the frequency to determine probability. As a dice has 3 even and odd numbers, the probability shall be gotten by dividing the total number of frequencies for even numbers (2,4,6) by the total number of trials.
i.e (10+10+9)/50
so the probability is 29/50 or 0.58 or 58%
Since the probability of getting even numbers is 0.58 and since the total probability is always 1, we can clearly see that the probability of one rolling an even number as per the sample is higher than that of rolling an odd number.
Colin invests £980 into his bank account. He receiv 0.3% per year simple interest. How
much will Colin have after 7 years? Give your answer to the nearest penny where appropriate.
Answer: 1,000.77
Step-by-step explanation:
After 1 year: 980 + 0.3% = 982.94
After 2 years: 982.94 + 0.3% = 985.89
After 3 years: 985.89 + 0.3% = 988.85
After 4 years: 988.85 + 0.3% = 991.82
After 5 years: 991.82 + 0.3% = 994.80
After 6 years: 994.80 + 0.3% = 997.78
After 7 years: 997.78 + 0.3% = 1,000.77
Brainliest?
lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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