The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters

Answers

Answer 1

Answer:

Step-by-step explanation:

I believe it will be B. -318 meters

not entirely sure but that's what I think so hope this help and sorry if I'm wrong

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The roots of x2 − ( ) + 34 are 5 ± 3i.

Answers

use quadratic formula
if you had ax^2+bx+c=0, then
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$
a=1
b=?
c=34
subsitute
$\frac{-b+/- \sqrt{b^(2)-4(1)(34)} }{2(1)}$ =5+/-3i
$\frac{-b+/- \sqrt{b^(2)-136} }{2}$ =5+/-3i
make 5+/-3 into fraction over 2,(10+/-6i)/2
$\frac{-b+/- \sqrt{b^(2)-136} }{2}$ =(10+/-6i)/2
multiply both sides by 2
$-b+/- \sqrt{b^(2)-136}$ =10+/-6i
we conclude that -b=10
b=-10

ok so equaton is
x^2-10x+34

The roots of x² -bx+34=0 are 5 ± 3i. Then b = ?

-------------------

Vieta's formulas :

5 - 3i + 5 + 3i = b ⇒ b =10

Now, we have the equation:

x² -10x + 34 = 0

Which of the following representative fractions would indicate the largest scale map? Options: • 1:1 • 1:0 • 1:1,000,000 • 1:24,000

Answers

Final Answer:

The largest scale map is indicated by the representative fraction 1:1. Option A is correct.

Explanation:

In cartography, the representative fraction (RF) of a map indicates the scale of the map, specifically the ratio between a distance on the map and the corresponding distance on the Earth's surface. A larger RF value means a larger scale map, which represents smaller areas with more detail.

Now, let's compare the given options:

1. 1:1 - This RF means that one unit on the map represents one unit on the ground, essentially a one-to-one scale. It doesn't get any larger than this, so this is the largest scale possible.

2. 1:0 - This doesn't make sense in cartography because you cannot represent the Earth's surface with zero on one side of the ratio. It's an invalid option.

3. 1:1,000,000 - This RF indicates that one unit on the map represents one million units on the ground. This is a much smaller scale compared to 1:1, so it represents a much larger area with less detail.

4. 1:24,000 - This RF means that one unit on the map represents 24,000 units on the ground. While this is a larger scale than 1:1,000,000, it is still smaller than 1:1, which is the largest scale.

In summary, the largest scale map is represented by 1:1. Option A is the answer.

Learn more about fraction

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Answer:

The representative fraction (RF) of a map indicates the scale of the map. In a representative fraction, the first number represents a unit of measurement on the map, and the second number represents the corresponding unit of measurement in the real world.

Among the options provided, a larger scale map would have a smaller second number because it means that one unit of measurement on the map represents a smaller unit of measurement in the real world. So, the largest scale map in the given options is:

1:24,000

In this case, 1 unit on the map represents 24,000 units in the real world, indicating a very detailed and large-scale representation of the area.

What is the solution set of {x | x < 2} ∪ {x | x ≥ 2}

Answers

The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-2,-1,0,1) and the second eveluates to (2,3,4,5,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less that 2 and also equal to to greater than 2?" Clearly there is no number that fits both of those.

Question 5Two similar triangles are shown in the diagram below, where
AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.

Answers

Answer:

Perimeter of ΔABC is 9.5 in.

Step-by-step explanation:

Given:

ΔABC $\sim$ ΔDEF

DE = 6 in.

EF = 5.25 in.

DF = 3 in.

AB = 4 in.

We need to find the Perimeter of ΔABC.

Solution:

First we will find the sides of ΔABC.

Now By Triangle similarity property which states that:

"When two triangles are similar the the ratio of their corresponding sides are equal."

From Above property we can say that;

$(AB)/(DE) =(BC)/(EF)=(AC)/(DF)\n\n(4)/(6)=(BC)/(5.25)=(AC)/(3)$

Now we will find BC and AC

$(4)/(6)=(BC)/(5.25)\n\nBC = (4*5.25)/(6)= 3.5 \ in$

Also;

$(4)/(6)=(AC)/(3)\n\nAC = (4*3)/(6) = 2 \ in$

Now In ΔABC

AB = 4 in

BC = 3.5 in

AC =2 in.

Now Perimeter of ΔABC can be calculated as sum of all sides.

Perimeter of ΔABC = AB +BC +AC = 4 + 3.5 + 2 = 9.5 in

Hence Perimeter of ΔABC is 9.5 in.

Need a bit of help on the question please

Answers

Hello,

as 6^3=6*6*6=216
∛(-216)=-6

remember
∛(mn)=(∛m)(∛n)
and
if you have the 3rd root of a negative number, the root will be negative

∛-216=(∛216)(∛-1)
we know that 216=6^3 (you know, just fun fact)
6(∛-1)
3rd root of -1 is -1 ((-1)^3=-1)
6(-1)
-6

Which expression is equivalent to 3sqt 216x^3y^6z^126xy^2z^4
18xy^3z^6
36xy^2z^4
72xy^3z^6