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3 years ago

Kia rides her bicycle at 20 miles per hour. Which equation represents the situation?

Mathematics

1 answer:

sergejj [24]3 years ago

7 0

Answer:

(A)d=20h

Step-by-step explanation:

If Kia rides her bike at 20 miles per hour.

20 miles per hour is referred to as the Kia's Speed.

Now we know that:

$$Speed=\frac{Distance \:Travelled}{Time \:taken}$

Given:

Number of hours traveled=h
Distance traveled=d
Speed = 20 mph

Substituting these three into the formula above, we have:

$20=\dfrac{d}{h}\\$

Cross multiply

d=20h

The correct option is A.

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Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres

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Answer: D . $N(t) = 3 + (0.25t)^3 - 8(1.06)^t$

Step-by-step explanation:

Given : Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function,

$A(t) = 5 + (0.25t)^3$

The number of bacteria of species B, B(t), after t hours is represented by the function, $B(t) = 2 + 8(1.06)^t$

Then, the difference in the number of bacteria, N(t), of both the species after t hours will be :-

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Hence, the correct answer should be : D . $N(t) = 3 + (0.25t)^3 - 8(1.06)^t$

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4 years ago

Find an equation for the nth Term of a geometric sequence where the second and fifth terms or -8 and 512, respectively

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)

Arlecino [84]

first, write the equation of the parabola in the required form: 
(y - k) = a·(x - h)² 

Here, (h, k) is given as (-1, -16). 
So you have: 
(y + 16) = a · (x + 1)² 

Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): 

-15 + 16 = a· (0 + 1)² 
.·. a = 1 

.·. the equation of the parabola in vertex form is 
y + 16 = (x + 1)² 

The x-intercepts are the values of x that make y = 0. So, let y = 0: 

0 + 16 = (x + 1)² 
16 = (x + 1)² 

We are trying to solve for x, so take the square root of both sides - but be CAREFUL! 

± 4 = x + 1 ...... remember both the positive and negative roots of 16...... 

Solving for x: 
x = -1 + 4, x = -1 - 4 
x = 3, x = -5. 

Or, if you prefer, (3, 0), (-5, 0).

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3 years ago