Answer:
4^-5
Step-by-step explanation:
(1/16)^-1/4
(1/4)^4-1/4
4^-4-4^-1
4^-5
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
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witch points has have a distance of 3 units from point S
Landon and chris are playing a video game . At the end of the game the boys scored 209 points total if Landon scored five more than twice the number of Points that chris did how many points did Landon score
Answer:
428
Step-by-step explanation:
209+5=214
214x2= 428
I think this is the correct answer, if it's not I'm sorry :3
Write a recursive formula and an explicit formula for the following arithmetic sequence.
4.25, 4.75, 5.25, 5.75, ...
PLZ HELP ITS SUPER URGENT
Find the length of X
Answer:x is two
Step-by-step explanation:
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
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Find the perimeter. Simplify your answer.
Answer:
20u-26
Step-by-step explanation:
To find the perimeter we have to add up all the sides
9u-6+u-7+9u-6+u-7
Combine light terms and we get
20u-26
Need help on this! Plz help
Answer:
54 degrees
Step-by-step explanation:
First, I need to find the value of t.
So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.
(8t + 6) + (3t + 18) = 90
Now, just solve for t.
11t + 24 = 90
11t = 66
t = 6
Finally, substitute 6 in for t.
8(6) + 6
48 + 6
54
Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867
Step-by-step explanation:
b) 3.14, 31.4, 0.314, 3 2/4, 3.141
3.14, 31.4, 0.314, 3.5, 3.141
0.314, 3.14, 3.141, 3.5, 31.4
PLEASE MARK ME AS BRAINLISTA nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?
Answer:
9.96
Step-by-step explanation:
12 * .83
Answer:
10 hours
Step-by-step explanation:
83% of 12 hours = 0.83 * 12 hours = 10 hours
What is more important: to formulate a believable, testable hypothesis or to develop a good strategy to test the hypothesis accurately
Answer:
It's a matter of opinion. In my opinion you can hypothesize all you want, when you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.
Step-by-step explanation:
Help Please!!
Write an algebraic expression to model the unknown number problem.
the quotient of a number and nine
Which statements are true? Select all that apply
Answer: x/9
Step-by-step explanation: quotient means to divide. X is the unknown number and we divide this by 9.
PLEASE HELP!!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.
Answer:
I think it's 2 and 5
Step-by-step explanation:
I hope this helps
Answer:
4,6,2,7
Step-by-step explanation:
What is 43% of what is 27?
Answer:
[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]
[tex]11.61 \: is \: the \: ans[/tex]
Answer:
11.61
Step-by-step explanation:
% means 100
so we have 43/100
of means multiplication X 27
so we have 43/100x27
and the answer is 11.61
if you want to approximate it is 12
Teacher Kaye is saving ₱2,000 every month by depositing it in a bank that gives an interest of 1% compounded quarterly. How much will she save in 5 years?
Answer:
1,23,098
Step-by-step explanation:
............
What are the roots of the equation?
X^2(6x - 11) (7x– 8) = 0
Answer:
0, 11/6 , 8/7
Step-by-step explanation:
Answer:
[tex]0, \frac{11}6, \frac87[/tex]
Step-by-step explanation:
Good thing it's already written as a product, which spares us the most complicated (and boring) part.
We know that a product is zero if it's 0 any of the factors.
From the first one [tex]x^2=0 \rightarrow x=0[/tex]
from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]
and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]
Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.
Answer:
D. $2,000
Step-by-step explanation:
Found this answer somewhere and it made sense so I hope its correct :D
Answer:
it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500
Step-by-step explanation:
In this assignment, you will conduct research to find the best loan for your first car. Using reference
materials and Internet sites, you will collect information for a used car and loan options to buy the car.
You will use an online loan calculator to find the best option for a used car loan. You will do a multimedia
presentation on the best loan option for a used car and the resources you used, along with the options
you explored to decide on the best loan option. A list of search term suggestions for finding resources is
provided at the end of this guide.
Your presentation should include the following slides. The slides should be a title slide, a slide containing
your used car information, a slide containing information on loan options with a bank and with a credit
union, a slide including calculations, a slide comparing the loan options, a slide with the best choice for a
car loan, and a works-cited slide.
We have that for the Question, it can be said that this is a way to approach the presentation
The first slide should bear the presentation titleFollowed by your pick or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information
Generally we are asked to conduct a research on your car using reference
materials and Internet sites
Where Reference materials soak of none internet site that relate to the topic of cars
While
Internet sites refers to sites on the net that gives detailed and affirmed information on used cars
e.g www.cars.com
Hence making use of a calculator online like Loan calculator at www.calculator.net ,you decide the best used cars based on price and Quality ratioUsing a multimedia entails the use of modern media gadgets and apps to make a presentation, and here your material will be those sites visited ,those none site resources used e.g QuestionnairesHow you made your price to quality ratio assessment, the other option you also thought where good in comparison with your optionNow on the slides
The first slide should bear the presentation titleFollowed by your pick or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information
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What time does the clock show?
12
11
1
10
2
9
3
8
4
7
6 5
Answer:
5:20
Step-by-step explanation:
In order to tell the time on an analog clock, we start by looking at the hour (shorter) hand. On this clock, it is pointing between the 5 and the 6, so we know it's a little after 5 o'clock.
Next, we look at the minute hand. Each number on the clock represents five minutes past the hour and the minute hand is pointing at the 4, so we know it is 4 x 5 or 20 minutes past the hour.
Therefore, we know that the time is 20 minutes after 5, or 5:20.
The time shown on the clock, obtained by reading the clock is; 5 : 20
How does one read a clock?Reading an analog clock involves looking at the positions of the clock's hands to determine the time.
The long hand, which is the minute hand of the clock is pointing at the number 4, which indicates that the time is 20 minutes past the hour, because each number on the clock face represents 5 minutes; (4 × 5 = 20). The direction the short hand, which is the hour hand is past the number 5, it indicates that the time is past 5 o'clock.
The position of the hour hand between 5 and 6 indicates that the time shown on the clock is 20 minutes past 5; 5 : 20
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Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer
Which capacities are written in order from least to greatest?
A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL
Answer:
B
Step-by-step explanation:
A. 2L, 2.9L, 2.5L, 2.4L
B. 2L, 2.4L, 2.5L, 2.9L
C. 2.9L, 2.5L, 2L, 2.4L
D. 2.9L, 2L, 2.5L, 2.4L
Answer:
what is in order from least to greatest is B
Step-by-step explanation:
as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)
plsss help me again:((((
#carry on learning
ASAP HELP WILL MAKE BRAINLEST 80 POINTS
Factor 5x^10−80x^2
5x^10−80x^2
=5x^2(x^4+4)(x^2+2)(x^2−2)
Answer:
5x^2(x^4+4)(x^2+2)(x^2−2)
5x^2(x^4+4)(x^2+2)(x^2−2)
Factor 5x^10−80x^2
5x^10−80x^2
=5x^2(x^4+4)(x^2+2)(x^2−2)
Help ASAP! (20 points)
What is the slope-intercept equation for the following line?
y=__x+__
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
what is the value of
r t s 100°
Catalog # Size Package Content Price* Qty
BR1400106 6 reactions of 50 µl Reagents for coupled transcription/translation reactions
€196.00
0
BR1400101 24 reactions of 50 µl Reagents for coupled transcription/translation reactions
€591.00
0
BR1400102 96 reactions of 50 µl Reagents for coupled transcription/translation reactions
€1,864.00
Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3
Answer:
C, you chose the correct answer! Good job. ¯\_(ツ)_/¯
Step-by-step explanation:
3÷[tex]\frac{2}{3}=3[/tex]
Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯
Hope this helps!
-❤AbqveNatural❤
Answer:
e
Step-by-step explanation:
e
Help please I really don’t understand due tomorrow
Answer:
x≥21
Step-by-step explanation:
1) Multiply both sides by the denominator (3)
x+21≥42
2)Move the constant to the right (21)
x≥42-21
3) Calculate it
x≥21
The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?
a) –357,000
B) 357,000-
C) 357,000+
D) +357,000
Hi! i need help, can someone help me please
Answer:
b
Step-by-step explanation:
The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.
Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
The difference in money made by company from first quarter to second is
700,000-343,000
= +357,000
Therefore, the correct answer is option D.
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7/10=r-(-8/9) please help
Answer: -(3/10)
Step-by-step explanation:
7/10=r-(-8/9)
(7/10)=r+(8/9)
(7/10)-(8/9)=r
r =(7/10)-(8/9)
r =(7/10)*(9/9)-(8/9)*(10/10) [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]
r =(63/90)-(80/90)
r = -(27/90) or -(3/10)