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jok3333 [9.3K]
3 years ago
15

7 apples cost 4.55 dollars how much do 9 apples cost

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0
To calculate how much 9 apples cost, you must multiply 9 to 4.55 and then divide by 7. This is done by setting up a proportion.
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A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.
sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}

Where:

y_{o} - Initial height of the ball, measured in feet.

v_{o} - Initial speed of the ball, measured in feet per second.

g - Gravitational constant, equal to -32.174\,\frac{ft}{s^{2}}.

t - Time, measured in seconds.

Given that y_{o} = 0\,ft, v_{o} = 95\,\frac{ft}{s}, g = -32.174\,\frac{ft}{s^{2}} and y = 120\,ft, the following second-order polynomial is found:

120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}

-16.087\cdot t^{2} + 95\cdot t -120 =0

The roots of this polynomial are, respectively:

t_{1} \approx 4.075\,s and t_{2} \approx 1.831\,s.

Both roots solutions are physically reasonable, since t_{1} represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas t_{2} represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0
3 years ago
Addition-subtraction method<br><br> 8.92x-5.42y=3.41 5.83x+1.07y=2.37
lyudmila [28]
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41             (1)
5.83x + 1.07y = 2.37             (2)

We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42  to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487        (3)

5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454   (4)

Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009

From (2), obtain
1.07y = 2.37 - 5.83x
         = 2.37 - 5.83*0.4009
         = 0.0328
y = 0.0307

Answer:
 x = 0.4009
 y = 0.0307
4 0
3 years ago
Please help !!!!picture shown
dexar [7]
<span>A. H(w) gets very large. </span>
7 0
3 years ago
I provided the answers I just need you to show work. I’ll even mark you the Brainliest!
Sindrei [870]

The intercepts and the graph on your worksheet are not correct. Please see below for details:

x^2-2x-3=0 has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:

(-1,0) and (3,0).

The y-intercept comes from setting x=0 and calculating the y value:

y=0^2-2\cdot0-3=-3

so the y-intercept is (0,-3).

Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

y = x^2-2x-3=(x-1)^2-4

and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).

Knowing the apex, the x intercepts, and the y intercept, we can graph it now.

Graph is in the image attached.

6 0
3 years ago
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?
Varvara68 [4.7K]
I think the answer is 2 13/20
Or, in decimals:             1.3
3 0
3 years ago
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