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Georgia [21]
2 years ago
5

The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velo

city​
Mathematics
1 answer:
nordsb [41]2 years ago
4 0

Answer:

initial velocity = 64 m/s

Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity = \frac{dH}{dt} = 64 - 32t

Initial velocity (u) is when t = 0:

   u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s

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José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris ea
kaheart [24]

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

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3 years ago
Round 30.410 to the nearest hundredth
ch4aika [34]
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5 0
3 years ago
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Evaluate the limit 8n^2+5n+2/3+2n
Vlada [557]

Answer:

8n^2+7n+2/3

Step-by-step explanation:

combine like terms

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Which method would you use to prove that the two triangles are congruent?
tankabanditka [31]
You can use the SSS, SAS, ASA, AAS congruency for any triangles and the HL congruency for just the right triangle
4 0
3 years ago
What is the area?
balu736 [363]

Answer:

Solution given:

For rectangle

length [L]=BC=16in

breadth [b]=AB=4in

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=L×b+2×1/2×[b×h]

=16×4+8×3=88in² is your answer

4 0
3 years ago
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