Answer:The equation of that is y=kx
Substitute it in and you get
20=6k
Divide 6 on both sides
k=3 1/3
Then since it asks what is the value of y when x is 24 use k in the equation
y=3 1/3*24
so y=80 is the answer
Step-by-step explanation:
what decimal is equivalent to 4/100 + 5/10
Answer: 0.54
Step-by-step explanation:
im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.
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:
https://brainly.com/question/20379727
Which method is best used to solve -2/3c=16
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 : -2/3
c = 16 . 3/-2
c = 8 . 3/-1
c = 8 . -3
c = -24
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 * 3/-2
c = -8 * 3
c = -24
Find the values of m for which the equation
x^2 +2mx + 9 = 0 has no real roots
Answer:
Interval notation for m: (-3,3)
Inequality notation: -3<m<3
In words: Anything between -3 and 3 without including either -3 or 3.
Step-by-step explanation:
If we want no real roots then b^2-4ac must be less than 0.
a=1
b=2m
c=9
These values were found by comparing your equation to ax^2+bx+c=0.
b^2-4ac<0 is what we are trying to satisfy
(2m)^2-4(1)(9)<0
4m^2-36<0
Divide both sides by 4:
m^2-9<0
Add 9 on both sides:
m^2<9
m^2<9 when m<3 and m>-3.
Interval notation (-3,3).
HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.
1/8 x^3 - 1/27 y^3
Answer:
1/8x³- 1/27y³
Step-by-step explanation:
1/216×(27x³-8y³)
1/216×(3x-2y)×(9x²+6xy+4y²)
1/216×(3x-2y)×(9x²+6xy +4y²)
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE
Answer:
look at the picture..................
[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]
[tex]\\ \rm\leadsto a^5[/tex]
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his old job?
Answer:
20hours
Step-by-step explanation:
Old Job hours = 54 -34 = 20 hours
The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362
Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.
Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
Which of the following statements are true regarding functions?
(Check all that apply)
A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
Step-by-step explanation:
A, B are right.
when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.
it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.
in other words, it is a numbered list of real numbers.
and it is definitely NOT D !
see A and B.
Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37
Answer:
60+37x=245
Step-by-step explanation
x = 5
Choose the expression that correctly compares 0.501 and 0.051
Answer:
0.501>0.051
Step-by-step explanation:
Answer:
0.501 > 0.051
Step-by-step explanation: blah
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.
Answer:
faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?
Step-by-step explanation:
SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST
PLEASE HELPPP!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.
Answer:
24
Step-by-step explanation:
Im not sure by 64-40=24?Please help! People on my last post didn’t help :(! I’ll give brainliest.
Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.
(The questions are listed in the photo)
Answer:
It is 7823
Step-by-step explanation:
This is the right answere because it shows us how each number is placed and what we do with it
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?
Answer:
$233.82
Step-by-step explanation:
$12.99 a ball times 18 players (12.99x18) equals 233.82$
Which of the following expresses (2.4 on going) as a fraction in simplest form?
2 and 1/4th
2 and 2/5ths
2 and 11/25ths
2 and 4/9ths
Answer:
2 and 4/9ths
Step-by-step explanation:
2 ⁴/9 is equal to 2.4 constant
need help with this.
First one is for number 2 and vice versa.
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
Pick two points on the line
(0,1) and (1,2)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-1)/(1-0)
= 1/1
=1
) Use distributive property and solve
74×94
Answer:
6956
Step-by-step explanation:
i dont get the Question
A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
4
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 38(x) ≤ 160
8 + 38x ≤ 160
38x ≤ 160 - 8
38x ≤ 152
x ≤ 152/38
x ≤ 4
The number of people that can go to the amusement park will be at most 4.
Hence the answer is 4.