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Licemer1 [7]
3 years ago
12

An object is projected vertically upwards from ground level. When asked a question about its maximum height, you should use: A)

S=0 B) U=0 C) V=0 D) A=0
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

V = 0

Step-by-step explanation:

Given

At maximum height

Required

Select which of the options is true

At the maximum height of an upward projectile, the final velocity (v) is always equal to 0.

i.e.

V = 0

Other parameters such as initial velocity (u), acceleration (a or g) are not 0.

Hence:

(c) answers the question

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Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

Using this rule, we get

M(-4,6)\to M'(1.5(-4),1.5(6))

M(-4,6)\to M'(-6,9)

And,

N(2,6)\to N'(1.5(2),1.5(6))

N(2,6)\to N'(3,9)

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0
3 years ago
A hardware store owner has 1,152 screws. If she wants to put them in packages of 32, how many packages can she make?
melomori [17]

Answer:

i think 36

Step-by-step explanation:

1152 / 32= 36

5 0
3 years ago
A country's population in 1993 was 94 million. in 1999 it was 99 million
Ulleksa [173]

Answer:

i dont get it

Step-by-step explanation:

5 0
3 years ago
Find the surface area of the prism.
Mekhanik [1.2K]

Answer: B 386

Step-by-step explanation:

(7*15)*2 + (7*4)*2 + (15*4)*2

= 210+120+56

= 386

3 0
3 years ago
Read 2 more answers
Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
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