" A projectile is launched in the air according to the equation h(t)= -16t^2 + 125t + 5. At what time does the projectile land?" and how do I do problems like these!?

Answers

Answer 1

Answer: "according to the equation is a sloppy description, and announces that whoever said it or wrote it doesn't really have a clue to what the equation means or what it's good for.

h (t) is the HEIGHT of the projectile above the ground at any time 't'. When the projectile hits the ground, h (t) is zero. Write that ! Then you have a quadratic equation that you can easily solve for 't'.

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Lucy wants to put out 32 ounces of orange juice in her favorite cylindrical pitcher for her family brunch. The pitcher is 13 cm in height and has a radius of 3 cm. Will the orange juice fit? A) No, because the volume of the vase is approximately 489.84 cubic centimeters, which is equivalent to 16.56 fluid ounces. B) No, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 12.42 fluid ounces. C) Yes, because the volume of the vase is approximately 1469.52 cubic centimeters, which is equivalent to 49.69 fluid ounces. D) Yes, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 10864.71 fluid ounces.

Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?A) f(x) = abx
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x

Answers

Answer: The answer is (D) $f(x)=a^((1-b)x).$

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

$f(x)=a^(bx).$

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

the correct function is D

I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.
(7, −6)

Determine the value of k such that the points whose coordinates are given lie on the same line.
(k, 0), (0, −1), (10, −11)

Find the slope of the line containing the given points.
P1(5, −9), P2(1, 7)

Find the equation of the line that passes through the midpoint of the line segment between
P1(4, 1) and P2(−2, 3) and has slope of 3.
Let y be the dependent variable and let x be the independent variable.

Find the equation of the line that contains the given point and has the given slope.
P(0, 6), m = 1

Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10 7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(-11+1)/(10-0)\Rightarrow m=-1\n-11=-1*(10)+b\therefore b=-1\Rightarrow f(x)=-x-1\nf(k)=-k-1\n0=-k-1\therefore k=-1$

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(7+9)/(1-5)\Rightarrow m=(16)/(4)=-4$

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

$Midpoint=((x_(1)+x_(2))/(2)+(y_(1)+y_(2))/(2))\n$

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

$m(x-x_(0))=y-y_(0)\n3(x-2)=y-2\n3x-6=y-2\Rightarrow 3x-y=6-2\Rightarrow -y=4-3x\Rightarrow y=3x-4$

5) Similarly to the previous one:

$m(x-x_(0))=y-y_(0)\n(x-0)=y-6\nx=y-6\Rightarrow -y=-x-6\Rightarrow y=x+6$

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9) $m=(9-0)/(3-0)\Rightarrow m=3\therefore 9=3(3)+b\Rightarrow b=0\Rightarrow f(x)=3x$

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

$100y=331-500x\rightarrow y=(331-500x)/(100)\n500x=331-100y\nx=(331-100y)/(500)\n400((331-100y)/(500))+250y=326\n52.96-80y+250y=326\Rightarrow y=(9)/(25) \,and \,x=(59)/(100)$

Six diminished by twice a number is ten

Answers

6-2a = 10
6-10 = 2a
a = -2

Situation #3: Jamie can type 243 words in 3 minutes. How many words canshe type in 10 minutes?

Answers

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

I ain’t never seen two pretty best friends

Complete the solution of the equation. find the value of y when x equals -8
8x+8y=-48

Answers

8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
(8) (−8) + 8y = −48
−64 + 8y = −48
8y − 64 = −48
-----------------------------------------
Add 64 to each side
8y − 64 + 64 = −48 + 64
8y = 16
---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = 2
----------------------------------------------------------------
y = 2 is your answer

Which choice gives the solution of this inequality? 3t+ < 28

Answers

Answer:

its 9.33 reapetting or just 9.33

Step-by-step explanation:

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