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vladimir1956 [14]
3 years ago
8

4. John cashed a check for $630. The teller gave him three fifty-dollar

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

12 ten dollar bills, t = 12

Step-by-step explanation:

$630

3 x 50 = 150

18 x 20 = 360

360+150 = 510

$630 - 510

$120

---------

  10

12

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Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The fun
Phoenix [80]

Answer:

<em>100feet</em>

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

<em>y = 100 feet</em>

<em>Hence the maximum height reached by the object is 100feet</em>

4 0
3 years ago
A tall glass can hold 750 cm3 of water. A bottle can hold twice as much water as the glass. A jug can hold four times as much wa
AURORKA [14]


From the information we have the capacity of the glass is 750

The capacity of the bottle will be:

2 * 750 = 1500

The jug will hold four times more than the bottle so it will hold:

1500 * 4 = 6000

Three bottles will hold :

3 * 1500 = 4,500

Four  jugs will hold:

4 * 6000 = 24,000

To find out the total capacities of the three bottles and four jugs we add:

4,500 + 24,000 = 28,500

Therefore the total capacity of 3 bottles and 4 jugs is 28,500 cm3

3 0
3 years ago
A greenhouse room at a botanical Garden is in the Shape of a hemisphere. The height at the center of the dome is 24 feet what is
DaniilM [7]

Answer:

The volume is 9,216\pi\ ft^{3}

Step-by-step explanation:

we know that

The volume of the hemisphere ( a greenhouse room) is equal to

V=\frac{4}{6}\pi r^{3}

In this problem we have

r=24\ ft

substitute

V=\frac{4}{6}\pi (24)^{3}=9,216\pi\ ft^{3}

7 0
3 years ago
Rewrite the equation below so that it does not have fractions.
svp [43]
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5 0
3 years ago
a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening t
Aleonysh [2.5K]

The angle for shooting laser gun should be 89.98°.

The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).

Writing the formula for tan theta, that relates the given height and distance

Now, tan θ = vertical height ÷ horizontal distance

Keep the values in above mentioned equation of theta to find the angle.

tan θ = \frac{443443443}{181818}

Performing division to find the tan theta and subsequently calculate the angle

tan θ = 2438.94

θ = tan⁻¹ 2438.94

Calculating tan inverse to find the value of theta

θ = 89.98°

Therefore, the  angle for shooting laser gun by a men in black agent  should be 89.98°.

Learn more about calculation of angle -

brainly.com/question/21865829

#SPJ4

7 0
1 year ago
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