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2 years ago

Malcolm and Theo's families are both traveling to the same vacation resort.

Mathematics

1 answer:

Art [367]2 years ago

8 0

Solution :

Equation for Malcom's family travels after t hours is d = 65 t

From the graph, equation for Theo's family travels after travels after t hours is

$d=\frac{225}{4.5}t$

$d=50 t$

For Malcom's family, speed $= \frac{d}{t}$ = 65 miles per hour

For Theo's family, speed $= \frac{d}{t}$ = 50 miles per hour

Malcom's family traveled faster than Theo's family by

= (65-50) miles per hour

= 15 miles per hour

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Hoochie [10]

Answer:

Step-by-step explanation:

6c + 5

term : 6c and 5....coefficient : 6......constant : 5

a coefficient is the number multiplied by the variable (the letter)....a constant is just a number with no variables (letters)

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2 years ago

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DiKsa [7]

0.45033504848

Explanation:

The binomial formula is given by
nCk⋅ρk(1−ρ)n−k thus the result for x would be

p(x=2)=(5!(5−2!)2!)(.4)2(1−.4)5−2=0.3456

p(x=3)=(5!(5−3!)3!)(.4)3(1−.4)5−3=0.13824

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p(a∪b∪c)=p(a)+p(b)+p(c)−p(a)⋅p(b)−p(a)⋅p(c)−p(b)⋅p(c)=.3456+.13824+.027648−.047775744−.0095551488−0.00382205952

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2 years ago

Identify the real and imaginary parts of the following complex number: 39i

Nataliya [291]

Answer:

An i is an imaginary value. So 7i is the imaginary part and 9 is the real part.

Hope this helps!!

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1 year ago

How can you determine the same price if you are given the regular price and a percent of markdown

OLEGan [10]

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2 years ago

Can someone help me with number 4,5 and 6?

True [87]

4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!

(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5 5
--------- = ----- = 1
-3-(-8) 5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY

So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13

y=1x+13 is our final answer.

5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)

We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :(

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2 years ago