Determine whether the following statement is true or false.
If the base of a logarithm is not written, it is assumed to be 2. *
...
Choose the correct answer below.
O A. The statement is false because if the base of a logarithm is not written, it is assumed to be 1.
OB. The statement is true because if the base of a logarithm is not written, it is assumed to be 2.
O C. The statement is false because if the base of a logarithm is not written, it is assumed to be 10.
OD. The statement is false because if the base of a logarithm is not written, it is assumed to be e.
Answer:
D, but careful on conventions
Step-by-step explanation:
Honestly, it's a matter of conventions. Either C or D, then it's a matter on what whoever wrote the book likes and how he got taught. For example, for me, [tex]log_{10} x = Log x =[/tex], please note the capital L, and [tex]log_e x = ln x[/tex], in order to avoid any confusion - if someone has a terrible handwriting and their capital and small Ls look too similar.
Find the binomial that completes the factorization
t^3-u^3=( )(t^3+tu+u^3)
A. t-u
B. t+u
C. t^2
D. u^2
Answer:
I think its t+u
don't take my word for it preciate the points
Step-by-step explanation:
Solve the inequality 2x+3 < 7
Answer:
x < 2
Step-by-step explanation:
2x + 3 < 7
2x < 4
x < 2
Answer:
x<2
Step-by-step explanation:
2x<7−3
2x<4
x<4/2
x<2
5x+3x=16
find X
Thanks
Answer:
5 + 3 = 1 6
8 = 1 6
8 = 1 6
8 /8 = 1 6 /8
= 2
3044 in a base 5 to a base 10
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
Please answer completely
Answer:
58.95
Step-by-step explanation:
I took the quiz using K-12, and this is what I got!
Sorry If I am late to answer!
Find the surface area S of the following cylinder. Enter the exact answer using π
let's notice that that cylinder has a height of 16 whilst a radius of 8, thus
[tex]\textit{surface area of a cylinder}\\ SA = 2\pi r(h+r)\qquad \begin{cases} h= \stackrel{height}{16}\\ r = \stackrel{radius}{8} \end{cases}\implies SA = 2\pi (8)(16+8) \\\\\\ SA = 16\pi (24)\implies \boxed{SA = 384\pi }[/tex]
How many times larger is
9 x 104 than 4.5 x 102 ?
Answer:
477
Step-by-step explanation:
9*104=936
4.5*102=459
936-459=477
PLEASE HELP! Economics
Answer:
Are Included in calculating the parity of purchasing power .Hope helpssolve the following quadratic equation by factorisation method 3 x square - 2 root 6 × + 2 =0
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Learn more about SSS Congruence Theorem on:
https://brainly.com/question/4280133
Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?
Answer:
20,000 feet
Step-by-step explanation:
Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.
The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:
= Initial altitude - (Descent in feet per minute x Number of minutes)
Plugging in the values gives:
= 30,000 - (2,000 × x)
= 30,000 - 2,000x
creds to Parrain
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
Please help quick will give brainly points
Answer: They are not inverse.
Step-by-step explanation:
· Check Your Understandin
What is the absolute value of -10?
What is the absolute value of -10?
Answer:
10
Step-by-step explanation:
the absolute value of a number is the distance from 0
the answer will ALWAYS be positive ;)
If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!
Answer:
y=mx+c
0=m(4)+c
c=4m
positive slope
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Answer:
135%
Step-by-step explanation:
Answer:
35% increase
Step-by-step explanation:
27-20=7
7/20=0.35
Hi gm i need help pls
50 pts
Answer:
y = 3x
Step-by-step explanation:
Rise over Run
3 over 1
or 3
Hope this helps!
Hello help help please help help
Answer:
[tex]8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}[/tex]
how to find 75% of 156
Divide the percent by 100 to get a decimal number:
75% / 109 = 0.75
Now multiply:
156 x 0.75 = 117
75 % 0f 156 = 117
Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. Thus, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results. Once you have the pro forma model created, please briefly describe your results and how various changes in unit volume, price, and costs can change your valuation results. This analysis includes the 20% increase and decrease in sales volumes.
Barton PC is a small-cap computer company located in Wilson NC. The company operations officer, Nancy Simpson, is also part owner in the company. Nancy started the company in the mid-90’s as a producer of small laptop computers. Over the years, laptop computer usage has slowly declined as consumers have moved to more mobile-centric devices. To capture this growing trend, Barton PC created the Barton-1 smartphone. The phone comes in just one model and has generated excellent sales. As with all modern electronics however, technology changes rapidly and the company is concerned sales will fall as new and existing competitors enter the market.
To ensure continued robust sales, Barton PC has spent $750,000 to develop a new prototype smartphone with new and enhanced features. To more fully understand the expected sales of the phone, a marketing study for $200,000 was also conducted
Nancy estimates the new phone’s variable manufacturing cost will be $205 per unit. Fixed costs for the project are estimated to run $5.1 million per year. The estimated 5-year sales volumes for the new phone are as follows: 64,000, 106,000, 87,000, 78,000 and 54,000 per year. Based on market research, Nancy feels the phone can be sold for $485 per phone. However, Nancy also finds there will be considerable upstart costs to start production. New equipment will be purchased for $34.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the market value of the equipment in 5 years will be fully depreciated.
Net working capital for the phone will be 20% of sales and will occur with timing of the cash flows each year. In this case there are no startup costs for networking capital. Changes in net working capital will thus start when sales occur in year 1. The company has a 35% corporate tax rate and a required return on capital of 12%.
To ensure the phone creates value for the company, Nancy has requested a valuation analysis for the project. Specifically, she would like to see the net present value (NPV) and internal rate of return (IRR) for the phone over the 5-year expected sales. She would also like to see how these metrics change with various unit sales scenarios or 20% less and 20% more in unit volume sales.
Answer:How is pro forma income statement calculated?
Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.
How to Create A Pro Forma Income Statement
Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)
Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.
Operating Income - Depreciation = EBIT.
EBIT - Interest Expense = EBT.
EBT – Taxes = Net Income (Net Earnings, EAT, Profits)
Step-by-step explanation:
A garden has width √6 and length 3√6. What is the perimeter of the garden in simplest radical form?
Answer:
[tex]8\sqrt{6}[/tex] units
Step-by-step explanation:
Assuming the garden is in a rectangular shape:
The perimeter of a shape is the sum of all the sides, so in the case of a rectangle, this is
P=l+l+w+w=2(l)+2(w)=2(l+w)
where l is the length and w is the width. Here, you are given the length and width, so plug them in.
[tex]P=2(l+w)=2(3\sqrt{6}+\sqrt{6})=2(4\sqrt{6})=8\sqrt{6}[/tex]
Your answer is [tex]8\sqrt{6}[/tex] units.
I hope this was helpful!
Find the domain of the rational expression:
6x2 - 13x - 5/
x+7
Answer:
Domain (value of x) is any real value except x=13orx=−25
Explanation:
Domain is the value of x in the function. Here the denomintor must not be zero. 6x2+13x−5≠0or6x2+15x−2x−5≠0or3x(2x+5)−1(2x+5)≠0or(3x−1)(2x+5)≠0orx≠13andx≠−52∴Domain (value of x) is any real value except x=13orx=−25 [Ans]
mark me brainliest plss
Domain (value of x) is any real value except x=13 or x=−25
The domain is the value of x in the function.
Here the denominator must not be zero.
What is the domain?
The domain of a function is the set of inputs accepted by the function.
6x^2+13x−5≠0
or 6x^2+15x−2x−5≠0
or 3x(2x+5)−1(2x+5)≠0
or (3x−1)(2x+5)≠0
or x≠13 and x≠−52
∴Domain (value of x) is any real value except x=13 or x=−25.
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Frederick works in a grocery store and also mows lawns . He earns $ 10 per hour at the grocery store and $ 8.50 per hour mowing lawns . He worked a total of 35 hours last week , of which he spent x hours mowing lawns . Which is the simplified equation that represents the relationship between his earnings , y , in dollars and the number hours he spent working last week?
Answer:
just multiply 35 by x and then 10 by however many lawns he mowed (if that makes sense)
Step-by-step explanation:
Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
watch it and tell me what u think
HELP PLS ASAP I WILL AWARD BRAINLIEST!!!
Answer:
32
Step-by-step explanation:
the cofactor of 24 is then subtracted by the diameter of pi and then sent to the power of 2 after that divide by 2 and multiply by 6
