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Trava [24]
1 year ago
5

Name Date Core Writing Linear Equations 1. An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet p

er minute. Assume the plane continues at the same rate of descant. The plane's helght and minutes above the ground are related to each other Identify the variables in this situation: xa minutes ya height What is the glven Information in this problem (find all that apply)? y-intercept 30.000 slope2000, one point a second point ) 3. Write an equation to model the situation. y2000x130.000 b. Use your equation to find the altitude of the plane after S minutes, Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then each week thereafter, you add $5 ta the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed. you Identify the variables in this situation: x- What is the given information in this problem (And all that apply)? pintercept slope _- one point ) a second point ) a Find an equation for the amounty you have afterx weeks,
Mathematics
1 answer:
Anna [14]1 year ago
6 0

1) So writing in terms of x, we have: y=30,000-2000x or f(x) = -2000x +30,000

Hence, the y intercept is the point 30,000 ( 0, 30000) and the slope is -2000 for it is a decreasing function.

2) Identifying the variables we have, setting a table

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koban [17]

2/3 =0.66666666666 ........

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2 because 93 only goes in to 100 once and you only have 253
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A passenger flies on a heading of N40W with an airspeed of 240 km/h. His actual
Kryger [21]

A passenger flies on a heading of N40W with an airspeed of 240 km/h. His actual ground velocity is 250 km/h at a bearing of N60E.  the speed and direction of the wind are V=245.15kw/h at N83.46E. This is further explained below.

<h3>What is the speed and direction of the wind.?</h3>

Generally, the equation for the cosine rule is mathematically given as

a2 = b2 + c2 – 2bc cos ∠x.

Therefore

V^2 = (240^2 + 250^2) – (2(240*250)* cos 100)

V^2=140937.7813

V=375.42kw/h

In conclusion, the sine rule is mathematically given as

Sin x/240=sin60/375.42kw/h

Therefore

sin x=sin100*250/375.42kw/h

x=40.981

Hence

\theta= 180-2*48.27

Direction N83.46E

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5 0
2 years ago
Searches related to Searches related to A motorboat travels 135 kilometers in 3 hours going upstream. It travels 183 kilometers
svetlana [45]

Answer:

\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

\dfrac{135}{v-r}=3=\dfrac{183}{v+r}

It means that

135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}

But we can as well use the second equation:

3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}

and then

\boxed{v=\dfrac{159*8}{24}=53}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago
3/4*6000<br> What is the answer
natali 33 [55]

Answer:

4500 is the answer

Just use the calculator smh

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