HELP ME PLSSSS!!!
f(x) = x2 What is g(x)?
A. g(x) = 2x²
B. g(x)=1/2x2
C. g(x)=(1/2x)2
D. g(x)=1/4x2
Answers
Answer:
B. g(x)=1/2x2
Step-by-step explanation:
Function f(x):
[tex]f(x) = x^2[/tex]
At [tex]x = 2, y = f(2) = 2^2 = 4[/tex]
Function g:
Function g is a division of function f by a value. When [tex]x = 2, y = 2[/tex], that is, the value of f is divided by two, and thus, the correct answer is given by option b.
Related Questions
..A tin of paint was 2/3 litres full. Tom used 1/2 of
the paint to paint his table. How much was left ?
Answers
Multiply the amount of paint started with by the amount used:
2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3
There is 1/3 liter left
Two similar triangles are shown below:
Which two sets of angles are corresponding angles
Answers
Answer:
angle w and angle v; angle x and angle y (option 1)
Step-by-step explanation:
the little arc things are what tell you two angles are corresponding m
angles w and v both have two arc drawing things.
angle x and y have one
and the other angles that aren't labeled have three
What is the greatest common factor of 35 and 45?
Answers
rewrite x+2y=-4 in slope intercept
Answers
Answer:
y= - 1/2 x-2 ( SEE IMAGE BELOW)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Answer:
How do you write
x+2y=4
into slope intercept form?
Answer is:
y=−12x+2
Step-by-step explanation:
Slope intercept form can be represented as
y=mx+b
To get an equation into this form, we should try to get y all alone.
So then from x+2y=4
first, we can subtract x from both sidesand get 2y=−x+4
then, we can divide both sides by 2 to get it in slope intercept form
y=−12x+2
I think is like this. Hope it helps>3
Write the word or phrase that best completes each statement or answers the question. Solve the problem.
Two kinds of cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 cubic feet in volume and weighs 200 pounds, whereas each crate of cargo B is 10 cubic feet in volume and weighs 360 pounds. The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a maximum load limit of 7200 pounds and 1000 cubic feet. How many crates of each cargo should be shipped on each truck in order to satisfy the load limits and yield the greatest charges? What is the greatest charge?
Answers
Answer:
z(max) = 2350
x₁ = 18 x₂ = 10
Step-by-step explanation:
Vol (ft³) W (p) Income ($)
Cargo A (x₁) 50 200 75
Cargo B (x₂) 10 360 100
Max load limit 1000 7200
Objective Function
z = 75*x₁ + 100*x₂
Constraints:
Volume constraint:
50*x₁ + 10*x₂ ≤ 1000
Weight constraint:
200*x₁ + 360*x₂ ≤ 7200
Model:
z = 75*x₁ + 100*x₂ to maximize
Subject to:
50*x₁ + 10*x₂ ≤ 1000
200*x₁ + 360*x₂ ≤ 7200
x₁ ≥ 0 x₂ ≥ 0 x₁ and x₂ integers
After 6 iterations with an on-line solver optimal solution is:
z(max) = 2350
x₁ = 18 x₂ = 10
QUICK PLEASE HELPPPPPPPPPPPP
Answers
=====================================================
Explanation:
Set the expression equal to 100 and get everything to one side
[tex]d^2 - 12d + 45 = 100\\\\d^2 - 12d + 45 - 100 = 0\\\\d^2 - 12d - 55 = 0\\\\[/tex]
Now use the quadratic formula. We'll plug in a = 1, b = -12, c = -55.
[tex]\ d = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\ d = \frac{-(-12)\pm\sqrt{(-12)^2-4(1)(-55)}}{2(1)}\\\\\ d = \frac{12\pm\sqrt{364}}{2}\\\\\ d \approx \frac{12\pm19.07878403}{2}\\\\\ d \approx \frac{12+19.07878403}{2}\ \text{ or } \ d \approx \frac{12-19.07878403}{2}\\\\\ d \approx \frac{31.07878403}{2}\ \text{ or } \ d \approx \frac{-7.07878401}{2}\\\\\ d \approx 15.53939201\ \text{ or } \ d \approx -3.53939201\\\\d \approx 15.54 \ \text{ or } \ d \approx -3.54[/tex]
We'll ignore the negative d value as we can't have a negative number of days.
This means d = 15.54 is the only approximate solution we'll consider.
If we plugged in d = 15, then,
d^2 - 12d + 45
(15)^2 - 12(15) + 45
90
This tells us that 90 masks were sold on day d = 15.
Now try d = 16
d^2 - 12d + 45
(16)^2 - 12(16) + 45
109
We see that 109 masks were sold on day d = 16. Somewhere between those days, 100 masks were sold. At the end of the 15th day, we got to 90. So in the middle of day 16 is when we reach the exact 100 mark we're after.
In short, we would round d = 15.54 up to d = 16 so that we clear the hurdle.
In other words, if you rounded d = 15.54 to d = 15, then you'd be 10 masks short of the goal. Besides, 15.54 rounds to 16 when rounding to the nearest whole number.
Which of the following expressions have a difference of 5? Check all that apply.
VX
0-3-(-8)
-2-3
1-(-4)
07-(-2)
Answers
9514 1404 393
Answer:
A, C
Step-by-step explanation:
A: -3 -(-8) = -3 +8 = 5
B: -2 -3 = -5
C: 1 -(-4) = 1 +4 = 5
D: 7 -(-2) = 7 +2 = 9
__
Differences A and C are 5.
Answer: A: -3- (-8)
B:1 -(-4)
Step-by-step explanation:
in A your subtracting them in B your adding them
Line c has an equation of y=-1/6x+5. Perpendicular to line c is line d, which passes through the point (-3,-8). What is the equation of line d
Answers
Answer:
The equation of line d is [tex]y + 8 = 6(x + 3)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the slope is m and the point is [tex](x_0,y_0)[/tex]
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=-1/6x+5
Slope of - 1/6, so:
[tex]-\frac{1}{6}m = -1[/tex]
[tex]m = 6[/tex]
So
[tex]y - y_0 = 6(x - x_0)[/tex]
Passes through the point (-3,-8).
This means that [tex]x_0 = -3, y_0 = -8[/tex]. So
[tex]y - y_0 = 6(x - x_0)[/tex]
[tex]y - (-8) = 6(x - (-3))[/tex]
[tex]y + 8 = 6(x + 3)[/tex]
What is the volume of a rectangular prism that has a length of 15 mm, a width of 11 mm, and a height of 4 mm?
269 mm 3
660 mm 3
538 mm 3
1,320 mm 3
Answers
Answer:
Option 2: 660
Step-by-step explanation:
Multiply the three numbers together
Answer:
660mm 3
Step-by-step explanation:
Rectangular prism formula: V=LWH
15 x 11 x 4 = 660mm 3
Hope that helps <3
convert .25 cups to mL?
Answers
Answer: 59.14706
Step-by-step explanation:
Answer:
59.14706 mL
Step-by-step explanation:
Formula is
for an approximate result, multiply the volume value by 237
which is 59.25
12=x/5 plsss helpppppp
Answers
Answer:
The correct answer or value of xis 60
Step-by-step explanation:
12=x/5
or,12×5=x
or,60=x
Step 1: Rewrite equation
12=x/5
Step 2: Get x alone on the right side
To solve this equation we will need to get x alone on the right side. We can do this by undoing the division with multiplication. This will have to be done to both sides by multiplying x/5 by 5 and 12 by 5.
Step 3: Solve equation
12=x/5
12•5= x/5 •5
60= x
PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR
ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE
TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
PART 2, PART 1 ALREADY POSTED CHECK PROFILE
Answers
Answer:
B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees
a = 6 because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.
c = 10. 876 because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c
Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.
Step-by-step explanation:
Alix is 10 years older than tamia. Alanna is twice as old as tamia. If the sum of their ages is 74, how old is alanna
Answers
Answer:
Alanna is 32 years old
Step-by-step explanation:
Hi there!
We're given that Alix is 10 years older than Tamia and Alanna is twice as old as Tamia.
Since Alix and Alanna's ages are in relation to Tamia's, let's make Tamia's age x
Alix is 10 years older than Tamia, so Alix must be x+10 years old
Alanna is twice as old as Tamia, so she must be 2x years old
We're also given that Alix+Alanna+Tamia=74
When we substitute it with the expressions we have, it becomes:
x+x+10+2x=74
now combine like terms
4x+10=74
subtract 10 from both sides
4x=64
divide both sides by 4
x=16
We found the value of x (Tamia's age)
However, the problem asks for Alanna's age, which we have set as 2x
So Alanna is 2*16, or 32 years old
Hope this helps! :)
Answer:
32 years
Step-by-step explanation:
that is the procedure above
Find each event probability
Answers
Answer:
Event 4 (0%), Event 2 (45%), Event 3 (80%), Event 1 (100%)
Step-by-step explanation:
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 6)
Answers
Answer:
-5 =x
Step-by-step explanation:
0 = In(x + 6)
Raise each side to base e
e^0 = e^ ln (x+6)
1 = x+6
Subtract 6 from each side
1-6 = x
-5 =x
If you have consistently been exercising during the school year but then take the
summer off, once school starts again your fitness level will be exactly the same as it
was before the summer.
A.
True
B.
False
1
SEE ANSWER⇒
Answers
Answer:
Step-by-step explanation:
B
2 units
5
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Answers
Divide the figure into 4 small triangles, 2 rectangles, and one big rectangle on the center.
Area of ONE small triangle:
1/2 • 2 • 2 = 2 square units
Multiply that by 4 because we have 4 small triangles: 2 • 4 = 8 square units
Area of ONE small rectangle:
2 • 6 = 12 square units
Multiply that by 2 bcos we have 2 of those rectangles: 12 • 2 = 24 square units
Area of the big rectangle on the center:
6 • 8 = 48 square units
ADD the area of the big rectangle, 4 small triangles, and 2 small rectangles:
48 + 24 + 8 = 80
FINAL ANSWER: 80 square units
BRAINLIEST WILL BE APPRECIATED IF I GOT THIS RIGHT (pls comment me back if my answer was correct)
Have a nice day -SpaceMarsh
How long does it take to get more skips
Answers
Answer: Just create an account and you have unlimited skips.
The sound pressure P for a given sound is given by:
P= 10 log W/ Wo
Its units are decibels (dB). W is the size of a variable energy source (called the sound power), measured in Watts. Wo is the lowest threshold of sound that humans can typically hear. It is a constant given by:
Wo=10^-12 W/m2
a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.
b) If the variable sound power W is given by W = t2 +t +1, find the rate of change of the sound pressure P, at time t = 3s.
c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)
Answers
Answer:
a. 0.302 dB/s
b. 2.34 dB/s
c. 1.24 dB/s
Step-by-step explanation:
a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.
Since P = 10log(W/W₀), its rate of change with respect to time is
dP/dt = dP/dW × dW/dt
dP/dW = d[10logW - 10logW₀]/dt
dP/dW = d[10lnW/2.303 - 10logW₀]/dt
= 10/2.303W - 0
= 10/(2.303W)
dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × dW/dt
Since dW/dt = 0.5 when W = 7.2, then
dP/dt = 10/(2.303 × 7.2) × 0.5
dP/dt = 10/16.5816 × 0.5
dP/dt = 0.603 × 0.5
dP/dt = 0.302 dB/s
b) If the variable sound power W is given by W = t² + t + 1, find the rate of change of the sound pressure P, at time t = 3s.
Since P = 10log(W/W₀), its rate of change with respect to time is
dP/dt = dP/dW × dW/dt
dP/dW = d[10logW - 10logW₀]/dt
dP/dW = d[10lnW/2.303 - 10logW₀]/dt
= 10/2.303W - 0
= 10/(2.303W)
and dW/dt = d(t² + t + 1)/dt = 2t + 1
So, dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × (2t + 1)
dP/dt = 10(2t + 1)/(2.303W)
dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]
we then substitute t = 3 into the equation
dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]
dP/dt = 10(2(3) + 1)/[2.303((3)² + 3 + 1)]
dP/dt = 10(6 + 1)/[2.303(9 + 3 + 1)]
dP/dt = 10(7)/[2.303(13)]
dP/dt = 70/29.939
dP/dt = 2.34 dB/s
c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)
Since dP/dt = dP/dW × dW/dt and dP/dW = 10/(2.303W) and W = cos(0.2t), dW/dt = -0.2sin(0.2t)
So, dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × -0.2sin(0.2t)
dP/dt = -20sin(0.2t)/(2.303W)
dP/dt = -20sin(0.2t)/(2.303cos(0.2t))
dP/dt = -20tan(0.2t)/2.303
when t = 15, we have
dP/dt = -20tan(0.2 × 15)/2.303
dP/dt = -20tan3/2.303
dP/dt = -20 × -0.1425/2.303
dP/dt = 2.8509/2.303
dP/dt = 1.238
dP/dt ≅ 1.24 dB/s
The quotient of 365.085 and 79.8
Answers
Answer:
4.575
Step-by-step explanation:
365.085/79.8=4.575
A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:
Bacteria 1: y = 4x
Bacteria 2: y = 4x2
In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?
Answers
Answer:
bacteria 1
Step-by-step explanation:
i got it right
What are the values of m and 0 in the diagram below?
Answers
Answer:The correct answer is m= and θ = 30º.
Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) =
where H is the hypotenuse, in this case, the radio.
θ = ()
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) =
m = cos 30º * H
m =
m =
Have a nice day!
given that abc=def what is the measure of d
Answers
Answer:
C. 47 deg
Step-by-step explanation:
m<A = 180 - 94 - 39 = 47
m<D = m<A = 47
find the equation of the line passing through points A(3,4) and B(1,10)
Answers
Answer:
y = -3x + 13
Step-by-step explanation:
First, find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]
Finally, find the equation:
[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]
Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?
Answers
Answer:
Step-by-step explanation:
11 22 6 34 19
find all possible values for each expression
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
The sine function is negative only for angles greater than 180°. This eliminates choice B.
The sine function is periodic with a period of 360°, eliminating choices A and C.
The only viable choice is D, which is the correct one.
x/2-y/3=3,4x-3y=22
[tex] > < [/tex]
Answers
Answer:
x = 10
y = 6
Step-by-step explanation:
x/2 - y/3 = 3 - - - (1)
4x - 3y = 22 - - - (2)
From (1):
x/2 - y/3 = 3
(3x - 2y)/6 = 3
3x - 2y = 18 - - - - (11)
4x - 3y = 22 - - - - (2)
Multiply (11) by 1.5
4.5x - 3y = 27 _____(111)
4x - 3y = 22 - - - (2)
Subtract :
0.5x = 5
x = 5 / 0.5 = 10
From :
4x - 3y = 22
Put x = 10
4(10) - 3y = 22
40 - 3y = 22
-3y = 22 - 40
-3y = - 18
y = 6
reduce 1/2 × 16/9 is to lowest form
Answers
Answer:
The correct answer will be "[tex]\frac{8}{9}[/tex]".
Step-by-step explanation:
The given expression is:
= [tex]\frac{1}{2}\times \frac{16}{9}[/tex]
By applying multiplication, we get
= [tex]\frac{16}{18}[/tex]
= [tex]\frac{8}{9}[/tex]
Thus, the above is the lowest form.
What transformation of the parent function f(x) is made to get f(−x)+1
Answers
Answer:
It moved one space to the right , so it is a translation.
Step-by-step explanation:
shown below.
Answer:
Handling Data and probability
Help help help help help
Answers
Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°