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erastova [34]
3 years ago
5

Solve for X Tysm!! I need help ASAP

Mathematics
1 answer:
amm18123 years ago
6 0

X-4/3 <= 5

Multiply both sides by 3:

X-4 <= 15

Add 4 to both sides:

X <= 19

The answer is the third one.

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The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels
Anastaziya [24]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

<span>distance = 475
</span>time = 9.5 hrs

<span>since distance and time varies directly
</span>
therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles
<span>and in 4 hrs train travells 50*4 i.e 200 miles </span>
6 0
3 years ago
Read 2 more answers
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
Artemon [7]

Answer:

a) The height decreases at a rate of \frac{7}{12} ft/sec.

b) The area increases at a rate of \frac{527}{24} ft^2/sec

c) The angle is increasing at a rate of \frac{1}{12} rad/sec

Step-by-step explanation:

Attached you will find a sketch of the situation. The ladder forms a triangle of base b and height h with the house. The key to any type of problem is to identify the formula we want to differentiate, by having in mind the rules of differentiation.

a) Using pythagorean theorem, we have that 25^2 = h^2+b^2. From here, we have that

h^2 = 25^2-b^2

if we differentiate with respecto to t (t is time), by implicit differentiation we get

2h \frac{dh}{dt} = -2b\frac{db}{dt}

Then,

\frac{dh}{dt} = -\frac{b}{h}\frac{db}{dt}.

We are told that the base is increasing at a rate of 2 ft/s (that is the value of db/dt). Using the pythagorean theorem, when b = 7, then h = 24. So,

\frac{dh}{dt} = -\frac{2\cdot 7}{24}= \frac{-7}{12}

b) The area of the triangle is given by

A = \frac{1}{2}bh

By differentiating with respect to t, using the product formula we get

\frac{dA}{dt} = \frac{1}{2} (\frac{db}{dt}h+b\frac{dh}{dt})

when b=7,  we know that h=24 and dh/dt = -1/12. Then

\frac{dA}{dt} = \frac{1}{2}(2\cdot 24- 7\frac{7}{12}) = \frac{527}{24}

c) Based on the drawing, we have that

\sin(\theta)= \frac{b}{25}

If we differentiate with respect of t, and recalling that the derivative of sine is cosine, we get

\cos(\theta)\frac{d\theta}{dt}=\frac{1}{25}\frac{db}{dt} or, by replacing the value of db/dt

\frac{d\theta}{dt}=\frac{2}{25\cos(\theta)}

when b = 7, we have that h = 24, then \cos(\theta) = \frac{24}{25}, then

\frac{d\theta}{dt} = \frac{2}{25\frac{24}{25}} = \frac{2}{24} = \frac{1}{12}

7 0
3 years ago
Heyy i need help please help mee thank U​
Mnenie [13.5K]

Answer:

click the text you will see the answer

Step-by-step explanation:

I hope it's helpful for u

6 0
3 years ago
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The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck
bixtya [17]

Answer:

14hrs

Step-by-step explanation:

8 0
3 years ago
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Volume of 120 grams divided by 480cm3
ch4aika [34]

Answer:

= 0.25 g/cm3

Step-by-step explanation:

this is called density the grams per volume.

density = <u>mass</u>

               volume

             =   <u>120g</u>

                480cm3

  = 0.25 g/cm3

6 0
3 years ago
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