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NNADVOKAT [17]
2 years ago
10

A referee moves along a straight path on the side of an athletic field. The velocity of the referee is given by v(t) = 4(1-6)cos

(21+5), where is measured in minutes and v(t) is measured in meters per minute.
What is the total distance traveled by the referee, in meters, from time 1 = 2 to time 1 = 6 ?

(A) 3.933

(B) 14.578

(C) 21.667

(D) 29.156
Mathematics
1 answer:
stepan [7]2 years ago
6 0

Answer:

(A). 3.93

Step-by-step explanation:

You need to find the following integral

{\displaystyle  \int\limits_{2}^{6} 4(t-6)\cos(2t+5) \, dt } = 3.93

Therefore the answer is (A). 3.93

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Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig
BigorU [14]

Answer:

Step-by-step explanation:

Delivery fee = $7.50

Price per pizza = $14

Planned amount = $60

7.50 + 14p < 60

Subtract 7.50 from both sides

14p < 60 - 7.50

14p < 52.50

Divide both sides by 14

p < 52.50 / 14

p < 3.75

Each pizza is cut into 8 slices

Total slices she can afford = 3.75 × 8

= 30 slices

5 0
1 year ago
Which shows a recursive and an explicit formula for a sequence whose initial term is 14 and whose common difference is −4? A. A(
liberstina [14]

Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)

Step-by-step explanation:

Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.

For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,

a, a+d, a+3d, a+4d...

Notice that each new term keep increasing by a common difference 'd'

The nth term of the sequence Tn will therefore give Tn = a+(n-1)d

If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;

Tn = 14+(n-1)-4 (which gives the required answer)

Tn = 14-4n+4

Tn = 18-4n

5 0
1 year ago
Read 2 more answers
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy
motikmotik

Answer:

Hello your question is incomplete attached below is the complete question

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

Step-by-step explanation:

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

attached below is the detailed solution

4 0
1 year ago
You roll a colored cube with one white side, two red sides, and three blue sides. What is the expected number of red sides you w
miskamm [114]

Hello!

This is an example of theoretical probability. If you rolled the die 1,000 times, you would probably roll red about 333 times. On average, this is 1/3, and with a die it is 2/6. As you can see, it will be rolled 2/6 of the time on average, so our answer is A) 2.

I hope this helps!

3 0
1 year ago
Read 2 more answers
(1 point) Suppose F⃗ (x,y)=−yi⃗ +xj⃗ F→(x,y)=−yi→+xj→ and CC is the line segment from point P=(4,0)P=(4,0) to Q=(0,5)Q=(0,5). (a
scZoUnD [109]
I really don’t this anwser it look so hard
4 0
1 year ago
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