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nikitadnepr [17]
3 years ago
11

A group of students go out on a boat to go scuba diving. The instructor takes the group 57.52 feet below the surface to start. T

hen they go up 24.88 feet and stop to see some fish. Estimate the total change in distance from where they started at the surface. Find the total change in distance from where they started at the surface..
Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer:

it is  82.13

Step-by-step explanation:

you can add the 57.52+24.88

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
Which integer represents 100 feet below sea level
Lena [83]
-100 feet ( below means negative )
5 0
3 years ago
Read 2 more answers
A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the proba
saul85 [17]

Answer:

5/8

Step-by-step explanation:

12+30+20+10 +8 =80 total marbles

12+30+8=50 red blue and black

50/80

5/8

6 0
3 years ago
In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.
BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

\frac{14x}{14} =\frac{168}{14} Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

7 0
3 years ago
wanting to cut down his television-watching time slowly, Vince decides to watch 30 fewer minutes of television each week after t
Effectus [21]

Answer:

f(n) = - 0.5n + 6

Step-by-step explanation:

Because Vince cuts down his television watching at a steady pace, his situation models a linear function. As such, we can use slope-intercept form to write and predict his hours watching tv in n weeks.

Slope-intercept form is y=mx+b. In this case, we are choosing to use f(n) instead of y to show the number of hours he is watching tv. We are also choosing to use n weeks instead of x. So we have the form f(n)=mn+b.

We know that Vince starts out at watching 6 hours a week. This is our initial value known as the y-intercept and represented by b. As each week passes, he will decrease from the previous week by 30 minutes or -0.5 hours since 30 out of 60 minutes is 0.5. And since he is decreasing it should be a negative rate of -0.5 and is represented by m.

We substitute b=6 and m=0.5 into our form to get f(n)=-0.5n+6. Let's test week 1. After 1 week he should be down from 6 hours to 5.5 hours or 5 hours and 30 minutes. Let's substitute n=1.

f(n)=-0.5(1)+6=-0.5+6=5.5

We can substitute for any n week and find the amount.


7 0
2 years ago
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