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lilavasa [31]
3 years ago
12

pls help........................................................................................................................

........

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf
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3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
Use the drop-down menu to complete the statement.
Crank

Answer:

is that 2.5 or 25?

Step-by-step explanation:

qihdiwhdwjubc

3 0
3 years ago
Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Ang
Paraphin [41]

Answer:

10

Step-by-step explanation:

I just guessed and check :)

But if you recheck my answer it's correct!

Angela: 10 years

Cat: 10 months

In 1 year:

Angela: 11 years

Cat: 22 months

I hope this helps!

4 0
3 years ago
Read 2 more answers
A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and
Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.​

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

Hypotenuse^2=Base^2+Perpendicular^2

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

(9.85)^2=x^2+(x+5)^2

97.0225=x^2+x^2+10x+25

0=2x^2+10x+25-97.0225

0=2x^2+10x-72.0225

Here, a=2, b=10,c=-72.0225. Using the quadratic formula, we get

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}

x=\dfrac{-10\pm \sqrt{676.18}}{4}

Approximating the value, we get

x=\dfrac{-10\pm 26}{4}

x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}

x=\dfrac{16}{4},\dfrac{-36}{4}

x=4,-9

Distance cannot be negative so x\neq -9.

Now we have x=4

x+5=4+5

x+5=9

Therefore, the base is 4 m and the height is 9 m.

5 0
3 years ago
What is 37/200 as a whole number
dalvyx [7]
The answer would be 0.185.
4 0
3 years ago
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