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Alja [10]
3 years ago
13

A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate

times the number of hours h. Dependent Variable: Independent variable: Equation:
Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

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A stadium has 39 sections. there are 18 sections that each have 478 seats. The remaining sections each have 292 seats. If 13,528
vesna_86 [32]

Answer: 1,208 seats

Step-by-step explanation:

39-18= 21

18 x 478 = 8,604

21 x 292 = 6,132

8,604 + 6,132 = 14,736

14,736 - 13,528 = 1,208

6 0
3 years ago
Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

3 0
4 years ago
Hi answer as fast as you can
Aleonysh [2.5K]

Answer:

864 cm

Step-by-step explanation:

8 0
3 years ago
A table measures 3.6 feet long.<br><br> How long does the table measure in inches and in yards?
sattari [20]

Answer:

43.2 inches  is  3.6ft

1.2 yards is 3.6ft

7 0
3 years ago
Determine the missing information in the paragraph proof. Given: Lines a and c intersect at point S, creating 4 angles. Prove: C
Alenkasestr [34]

Answer:

©The answer is Parallel

Step-by-step explanation:

9 0
4 years ago
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