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d1i1m1o1n [39]
3 years ago
12

A plane flies with an average velocity of -98.5 m/s for 45.0s .What is the displacement?

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Answer:

  -4432.5 m

Step-by-step explanation:

Displacement is measured in meters, so will be the product of velocity in m/s and time in s.

  (-98.5 m/s)×(45.0 s) = -4432.5 m

___

If you're concerned with significant figures, you can round this to -4430 m, which has the required 3 significant figures.

Kamila [148]3 years ago
5 0

Answer:

-4432.5 m

Step-by-step explanation:

distance (or displacement) = rate times time.

Here, the displacement is

                                             (-98.5 m/s)(45.0 s) = -4432.5 m

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I need help please.
Ivan

1. It is given that f(x) is 16 times the square root of x.

Putting that in mathematical terms we have,

f(x) = 16 * \sqrt{x}

also, y = f(x)

So, we have the function

y= 16 \sqrt{x}

4. We need to solve the inequality equation : 4x + 2y ≤ 6

Let us take the equation,

4x+2y ≤ 6

2y ≤ 6-4x

y ≤ \frac{6-4x}{2}

y ≤ 3-2x

So, any point (x,y) lies on the given inequality region, where y≤ 3-2x

5. Solving system of equations using addition method

Given:

-5x-y =38          ------> a

-6x-3y =60       -------> b

Divide the equation b by no. 3

(-6x-3y)/3 = 60/3

-2x-y = 20      -------> c

Subtracting equation c from a we have,

-5x-y - (-2x-y) = 38 - 20

-5x-y+2x+y = 18

-3x = 18

x = -6

Now, substituting the value of x in equation a, we get

-5(-6) - y =38

30-y =38

y= 30-38 = -8

y=-8

∴ x = -6 and y = -8

6. Finding composition of functions

Given : f(x) =15x + 7 ; g(x) = x² - 5x

To find : (f+g)(x)

(f+g) (x) = f(g(x))

So, replace the value of x in f(x) by g(x), where g(x)= x² - 5x

(f+g)(x) = 15(x²-5x) +7 =15x²-75x+7

∴ (f + g)(x) = 15x²-75x+7

7. System of 3 equations must be solved to find the solution

-8x-8y-5z=-6

7x-8y-9z =17

9x+2y+6z =-1

Solving by substitution method.

Isolate x from first equation :

x= (-6+8y+5z)/(-8)

Substitute this value of x in 2nd and 3rd equations.

7 (- \frac{-6+8y+5z}{8})-8y -9z = 17

9(- \frac{-6+8y+5z}{8}) + 2y + 6z = -1

Now, isolating y from the 2nd equation rewritten above, we have

y= - \frac{107 z + 94}{120}

Now substituting this value of y in the 3rd equation rewritten above, we have

9(- \frac{-6+8(-\frac{107 z + 94}{120})+5z}{8}) + 2(-\frac{107 z + 94}{120}) + 6z = -1

Isolating z from above equation, we have

z = -2

Substitute z= -2 in the equation of y, we have

y= - \frac{107 (-2) + 94}{120} = 1

y = 1

Substituting the value of y and z, in the equation of x, we have

x= (-6+8(1)+5(-2))/(-8) = 1

x = 1

∴ x=1 ; y = 1 ; z = -2

8. 5x ≤ 7

Solving the above equation, we have

x ≤ 7/5

Please see attachment for the graph.

9. The given function is : g(y) = \sqrt{y} -6

The domain is the set of values of y for which there can be a value of g(y).

Here g(y) can be real only if y is greater than or equal to 0.

∴ The domain of the given function is [0,∞) .

10. Given : y is a function of x.

Definition of function : A function is a relation that associates each element in the domain to one element of another set, the co-domain of the function.

∴ For each element x, in the domain, there is only one value of y in the range.


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3 years ago
What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?
Anastaziya [24]

Step-by-step explanation:

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4 0
3 years ago
Jack is at the zoo looking up at a monkey
sasho [114]

The height of the pole at which the monkey is at the top is 10.2 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Let h represent the height of the pole, hence using trigonometric ratio:

tan(23) = h/24

h = 10.2 feet

The height of the pole at which the monkey is at the top is 10.2 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

4 0
2 years ago
What is the value of p?
Misha Larkins [42]

Answer:

D. 43°

Step-by-step explanation:

interior angle to 90°=90°

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p=180°-47°-90°=43°

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7 0
3 years ago
Lonna uses 8.2 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is
vova2212 [387]

Answer:

the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints

Step-by-step explanation:

The computation of the number of pints of blue paint did she use for painting her bedroom walls is shown below:

= Total pint × blue paint

= 7.5 × (1 - 3 ÷ 4)

= 7.5 ×  1 ÷ 4

= 1.875 pints

Hence, the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints

5 0
3 years ago
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