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2 years ago

Can someone please help me, this is the last question on my test and I dont understand. please and thanks.

Mathematics

2 answers:

Elina [12.6K]2 years ago

4 0

Step-by-step explanation:

A: ←⭕

B: •→

C: ←•

D: ⭕→

.........

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

(see attached)

Step-by-step explanation:

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A Theater has 500 seats. three-fourths of the seats are filled how many seats are filled? Explain your work

Orlov [11]

75% of 500 is 375
so there are 375 seats filled.
so that mean's there 125 seats left

4 0

3 years ago

Read 2 more answers

What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

5 0

3 years ago

How long does Ashley work on her sculpture?

Alex73 [517]

5 hours and 40 minutes. 3+2= 5 which make it 5 hours and then 2/3= 4/6= 40/60 which makes it 40 minutes

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3 years ago

Write the equation of a circle with a center at (-1,2) and a radius of 7

Sever21 [200]

Answer:

$(x+1)^2+(y-2)^2=49$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where r is the radius, and the center is (h, k).

(h, k) = (-1, 2), r = 7

$(x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49$

5 0

3 years ago

The position of an object moving horizontally after t seconds is given by the function s equals 3 t minus t cubed, for t greate

Anton [14]

Answer:

Step-by-step explanation:

The position of an object moving horizontally after t seconds is given by the function

s = 3t - t³

a) The object is stationary when there is no external force acting on the body. When the body is at rest, the body remains in a position and here is no distance covered by the object i.e s = 0

b) velocity is the change in displacement of a body with respect to time.

v = ds/dt

S = 3t - t³

V = ds/dt = 3-3t²

at t = 2

Velocity = 3-3(2)²

Velocity = 3-12

Velocity = -9m/s

c) acceleration is the change in velocity of a body with respect to time.

acceleration = dv/dt

If v = 3-3t²

a = dv/dt = -6t

When v = 0

0 = 3-3t²

-3 = -3t²

t² = 1

t = ±√1

t = 1sec

The acceleration of the object at v = 0 occurs at t = 1sec and -1sec

a = -6(1)

a = -6m/s²

d) Given the speed of the body v modelled by the function

v = 3-3t²

The speed is decreasing when it is less than zero as shown:

3-3t²< 0

3<3t²

1<t²

±1<t

1<t and -1<t

t>±1

t >1 and t>-1

The speed is decreasing when

3-3t²<0 and t>1 or t>-1

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3 years ago