Answers
Answer:
a) [tex]\frac{d-5.50}{0.45}[/tex]
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45
Related Questions
if a=10, What is a/ 2 plus 9
Answers
Answer:
a=14
Step-by-step explanation:
if a=10, 10/2 = 5 plus 9 = 14
Answer:
The anwer is 14
Step-by-step 1explanation:
10/2= 5 and 5 plus 9 is 14
the two-way table shows the attendant careers among the incoming class of first-year college students, divided by gender. If a female student is chosen at random, what is the probability that she intends to be a research scientist?
Answers
Answer: 4.64%
[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]
Two friends can paddle a canoe at a rate of 6 km/h in still water. It takes them 1 h in total to paddle 2 km up a river and another 2 km back. Find the speed of the current, rounded to the nearest tenth.
Answers
Answer: The speed of the current is 3.5 km/h.
Step-by-step explanation:
When they move in the river, the speed of the canoe is:
Sc is the speed of the canoe and Sr is the speed of the current.
Sc + Sr (when they move in the same direction as the current)
Sc - Sr (when they move in the opposite direction as the current)
So we have that in one hour, they moved 2km and then they returned other 2km.
Now, using the relation:
Velocity*time = distance
we can write 1hour = T1 + T2 such that:
(Sc + Sr)*T1 = 2km
(Sc - Sr)*T2 = 2km
T1 + T2 = 1hour -------> T2 = 1h - T1
Sc = 6km/h.
So we can write this as two equations:
(6km/h + Sr)*T1 = 2km
(6km/h - Sr)*(1h - T1) = 2km.
Now, the first step will be isolate one of the variables in one equation, we can get:
T1 = 2km/(6km/h + Sr)
and replace it in the second equation:
(6km/h - Sr)*(1h -2km/(6km/h + Sr)) = 2km.
Now we solve this for Sr, i will ignore the units, so it is easier to read the math.
(6 - Sr) - 2*(6 - Sr)/(6 + Sr) = 2
(6 - Sr)*(6 + Sr) - 2*(6 - Sr) = 2*(6 + Sr)
6^2 - Sr^2 - 12 + 2*Sr - 12 - 2*Sr = 0
-Sr^2 + 36 -12 -12 = 0
-Sr^2 + 12 = 0
Sr = √12 = 3.5km/h
(where we take the positive value of the square root)
The speed of the current is 3.5 km/h
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the current and t₁ represent the time spent paddling up and t₂ represent the time spent paddling back. Hence:
(6 - a)(t₁) = 2 km
t₁ = 2 / (6 - a) (1)
(6 + a)(t₂) = 2 km
t₂ = 2 / (6 + a) (2)
t₁ + t₂ = 1 hour
[2 / (6 - a)] + [2 / (6 + a)] = 1
12 + 2a + 12 - 2a = 36 - a²
a² - 12 = 0
a = 3.5 km/h
The speed of the current is 3.5 km/h
Find out more at: https://brainly.com/question/22610586
What is 2a+50=5a-4? Thank you for your time.
Answers
Answer:
2a+50=5a-4
5a-2a=50+4
3a=54
a=18
Answer:
[tex]a=18[/tex]
Step-by-step explanation:
[tex]2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1[/tex]
[tex]=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18[/tex]
1. A U.S. student studied abroad in Zürich, Switzerland. When he arrived in Zürich in January 2005, he exchanged $20,000 for Swiss francs when the exchange rate of USD/CHF (U.S. dollars to Swiss francs) was 1.15. When he left Zürich in January 2006, the exchange rate was 1.30. If he had started his year abroad in January 2006 instead of January 2005, would he have gotten more or fewer francs? What is the exact difference?
Answers
Answer:
Yes
With an extra 3000CHF
Step-by-step explanation:
In year 2005, the exchange rate was 1$ = 1.15CHF
The student came in with $20,000.
The amount he had in CHF(swiss franc) = ?
$1 = 1.15C
$20,000 = x CHF
X = (20000 × 1.15) / 1
X = 23,000CHF
When he came to Zürich in 2005, he has 23,000 swiss franc.
But the exchange rates changed in 2006 to C1.30 against the dollar.
$1 = 1.30CHF
$20,000 = xCHF
X = 26,000CHF
In 2006, he would've had 26,000CHF.
The difference between what he would've had in 2006 against 2005 is
26,000CHF - 23,000CHF = 3000CHF
He would've had an extra 3000CHF if he came in the year 2006.
Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Help Jeff plan the rest of the seating by solving for how many seats are in row 25. Then explain to Jeff how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences.
Answers
Answer:
Its a sequence question so, you have to find the nth term.
Step-by-step explanation:
If there are 5 more seats, and first value is 12, then:
nth terms = 5n + 12
Try substituting n with 1 to check
Hope this helps
what is half x 3a or 1/2 x 3a
Answers
Answer:
the answer is
3a/2
Step-by-step explanation:
1/2 × 3a = 3a/2
Step-by-step explanation:
1/2 times 3a=3a/2
hence one and a half a, or 1 and 1/2a
Please help with this question
Answers
Answer:
2nd graph from top
Step-by-step explanation:
a/ -5 ≥ 10
Multiply each side by -5, remembering to flip the inequality
a/-5 *-5 ≤ 10*-5
a ≤ -50
closed circle at -50 line going to the left
Please if you know this please help me I’m stuck I don’t know
Answers
Answer:
The vertical angles theorem
Step-by-step explanation:
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.
evaluate 1/2^-2x^-3y^5
A) -1/32
B) 16
C) -16
D)-4
Answers
Answer:
To answer this question you need to x and y
Step-by-step explanation:
help me please i need this done
Answers
Answer:
[tex]7n-6, \: 4n+8[/tex]
Step-by-step explanation:
[tex]+7[/tex] difference.
So it becomes [tex]7n[/tex].
[tex]7(1)+c=1[/tex]
[tex]c=-6[/tex]
Therefore, the nth term becomes:
[tex]7n-6[/tex]
[tex]+4[/tex] difference.
So it becomes [tex]4n[/tex].
[tex]4(1)+c=12[/tex]
[tex]c=8[/tex]
Therefore, the nth term becomes:
[tex]4n+8[/tex]
Answer:
a) 7n-6
b) 4n+8
Explanation:
a) 7 times tables but take away 6 for the start
b) 4 times tables but add 8 for the start
I need which other form can you represent the number 2 1/3
Answers
To keep the same denominator, multiple the number two by three.
You should get the number 6.
Once you have this number, add it to the remaining 1/3.
It should look like this:
7/3
Answer:
You can also represent it as [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]
Witch graph represents the given equation?
Answers
Answer:
graph c
y= 3/2 x² +4x-2 would be graphed on the left side of the graph and the vertex would be just a little more than -4
Anyone know how this can be solved?
Answers
Answer:
127.235cm^2
Step-by-step explanation:
A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]
Answer:
[tex]127.251 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
plz help me w this!!! lowkey forgot how to do it lol. marking brainiest aswell!!!
Answers
Answer:
B
Step-by-step explanation:
A = 1/2π * r²
A/(1/2π) = r² (Divide by 1/2π)
r = √(2A/π) (Take the square root of both sides then simplify)
Answer:
B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]
Step-by-step explanation:
First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]
HELP! Which of the following are interior angles in the figure below? PLEASEEE!!!!! URGENT dont need to explain
Answers
Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°
Answers
Answer:
To find angle x we must first find y
For angle y
Angles on a straight line add up to 180°
56 + 51 + y = 180
y = 180 - 56 -51
y = 73°
Now for angle x
Angles in a triangle add up to 180°
y + x + 72 = 180
y = 73°
73 + x + 72 = 180
x = 180 - 73 -72
x = 35°
Therefore angle x is 35°
Hope this helps.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=47°
Consider the following equations:
−x − y = 1
y = x + 3
If the two equations are graphed, at what point do the lines representing the two equations intersect?
a
(−1, 2)
b
(−2, 1)
c
(1, −2)
d
(2, −1)
Answers
Answer:
The Answer is: (-2,1)
Step-by-step explanation:
Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20 km/h a la de la moto B, con lo que llega a la meta 3 minutos después que B. Calcula la velocidad de cada moto.
Answers
Answer:
motorcycle A: 180 km/h
motorcycle B: 200 km/h
Step-by-step explanation:
To solve this question we need to write a system of equations for A and B, using the equation:
distance = speed * time
The speed of A is 20 less than the speed of B, so:
speedA = speedB - 20
And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:
timeA = timeB + 0.05
Then, using the distance equation, we have that:
distanceB = speedB * timeB
90 = speedB * timeB
distanceA = speedA * timeA
90 = (speedB - 20) * (timeB + 0.05)
90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1
90 = 90 + 0.05 * speedB - 20*timeB - 1
20*timeB = 0.05 * speedB - 1
timeB = (speedB - 20)/400
using this timeB in the distance equation, we have:
90 = speedB * (speedB - 20)/400
90 * 400 = speedB^2 - 20*speedB
speedB^2 - 20*speedB - 36000 = 0
Solving this quadratic equation, we have speedB = 200 km/h
And the speedA is:
speedA = speedB - 20 = 200 - 20 = 180 km/h
Somebody please help! And show your work!
Answers
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
what is called circle
Answers
Answer:
A round plane figure whose boundary (the circumference)consists of points equidistant from a fixed point (the center)
Answer:
A round plane figure
Step-by-step explanation:
If a polynomial function f(x) has roots 0, 4, and 3+ sqrt 11, what must also be a root of f(x)?
a. 3+i sqrt 11
b. -3+i sqrt 11
c. 3- sqrt 11
d. -3- sqrt 11
Answers
Answer:
The answer is C 3- sqrt 11
Step-by-step explanation:
Sean is drinking a slushy as fast as he can.
The amount of slushy left in the cup (in milliliters) as a function of time in seconds) is graphed.
How much slushy did sean drink every 5 seconds
Answers
Answer:
40 millimetres
Answer:
40
Step-by-step explanation:
Select the graph for the solution of the open sentence. Click until the correct graph appears.
4|x| - 1 < -4
Answers
Answer:
No solution!
Just turned it in <3
Answer:
tis indeed no solution your honor
Step-by-step explanation:
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer
Answers
Answer:
-72 + 4 = -68
Help! I need to know if 7√3+2√9 is rational or irrational
Answers
Answer:
Irrational
Step-by-step explanation:
[tex]7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}[/tex]
Therefore, this is irrational. Hope this helps!
I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the rest of the cupcakes are chocolate. How many of each type of cupcake do we have?
Answers
Answer:
21 7/8 is choclate
1/2 or 2 is vanilla
1/8 is strawberry
Step-by-step explanation:
1/2 x 4 is is 2
1/8 < 2
2 of the cupcakes (into eights) are vanilla from which a dominatorof 8
2 plus 1/8 is 2 1/8
24 - 2 1/8 is 21 7/8
If m2 CBD = 42 and m2 DBE = 26, what is the measure of ZABE?
A. 26
B.42
C.112
D.124
Answers
3w + 4u - 6
Simplify
Answers
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
What is the square root of -1?
