If x = - 2 and y = 3, what is the value of - x∧- y? the answer is 1/8. how?

Answers

Answer 1

Answer: $-x^(-y)$

You have to know that every number to negative power is the inverse, for example:

$3^(-1)=(1)/(3^1)$

in this exercise we will make the same thing

when $x=-2~~and~~y=3$

$-(-2)^(-3)$

let's do the inverse

$-(1)/((-2)^3)$

now $(-2)^3=-8$

$-(1)/(-8)$

doing the signal rule

$\boxed{\boxed{(1)/(8)}}$

Answer 2

Answer: $-x^(-y)\n \n -(-2)^(-3)=-(1)/((-2)^3)=-(1)/(-8)=(1)/(8)$

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Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?a.r + 1.50 = 1.5r b. r + (5 – r) = 5 c. 1.5r + 2.5(5 – r) = 10.50 d. 1.5r + 2.5(5 – r) = 5
Perform the following computations. retail price of steel-belted radial tire = $89.50 discount offered = 10% federal tax = 12% local sales tax = 5% selling price = _____. 66.86 94.24 95.76 112.15
Solve to the nearest tenth
Complete the missing value in the solution to the equation.

a vertical pole 5 feet long cast a shadow of 2 feet. if at the same time a nearby tree casts a shadow of 10 feet, how tall is the tree?

Answers

The tree is 25 feet log becuase the shadow of the tree is 5 times bigger than the shadow of the pole so the tree should be 5 times bigger than the vertical pole which is 5 feet long.

In parallelogram ABCD, E is the midpoint of AB and F is the midpoint of DC . Let G be the intersection of the diagonal DB and the line segment EF . Prove that G is the midpoint of EF.

Answers

The midpoint of the line $\overline{EF}$ is the point that divides $\overline{EF}$ in two halves of the same length.

ΔDFG ≅ ΔBGE and $\overline{FG}$ ≅ $\overline{EG}$ by CPCTC, therefore, Gis the midpoint of $\overline{EF}$

Reasons:

The given parameters are;

The midpoint of AB in parallelogram ABCD = E

The midpoint of DC = F

Point of intersection of EF and DB = Point G

Required:

To prove that point G is the midpoint of EF.

Solution:

Statement ${}$ Reason

1. m∠BDC ≅ m∠ABD ${}$ 1. Alternate angles theorem

2. m∠DGF ≅ m∠BGE ${}$ 2.Vertical angles theorem

3. $\overline{DC}$ = $\overline {AB}$ ${}$ 3. Opposite sides of a parallelogram ABCD

4. $\overline{CF}$ ≅ $\overline{DF}$ ${}$ 4. Definition of midpoint of DC

5. $\overline{CF}$ = $\mathbf{\overline{DF}}$ ${}$ 5. Definition of congruency

6. $\overline{CF}$ + $\overline{DF}$ = DC ${}$ 6. Segment addition property

7. $\overline{CF}$ + $\overline{CF}$ = DC ${}$ 7. Substitution property

8. 2· $\overline{CF}$ = DC ${}$ 8. Addition

9. $\overline{CF}$ = 0.5· $\overline{DC}$ = $\overline{DF}$ ${}$ 9. Division property

Similarly;

10. $\overline{AE}$ = 0.5· $\overline{AB}$ = $\overline{EB}$ ${}$ 10. Division property

11. 0.5· $\overline{DC}$ = 0.5· $\overline{AB}$ ${}$ 11. Multiplication property of equality

12. $\overline{AE}$ = $\overline{EB}$ ${}$ 12. Substitution property

13. ΔDFG ≅ ΔBGE ${}$ 13. Angle-Angle-Side rule of congruency

14. $\overline{FG}$ ≅ $\overline{EG}$ ${}$ 14. CPCTC ${}$

15. $\overline{FG}$ = $\overline{EG}$ ${}$ 15. Definition of congruency

16. Point G is the midpoint of $\overline{EF}$ ${}$ 17. Definition of midpoint

Learn more about the midpoint of a line here:

brainly.com/question/5127222

Answer:

GF = GE that prove G is the mid-point of EF

Step-by-step explanation:

In the Parallelogram ABCD

∵E is the mid-point of AB

∵F is the mid-point of CD

∵AB = CD opposite sides in the parallelogram

∴EB = DF⇒(1)

∵AB // CD opposite sides in the parallelogram

∴m∠EBD = m∠FDB alternate angles ⇒(2)

∵BD intersects EF at G

∴m∠BGE = m∠DGF vertically opposite angles ⇒(3)

By using (1) , (2) and (3) you can prove:

ΔBGE is congruent to ΔDGF ⇒ AAS

∴GF = GE

∴G is the mid-point of EF

State whether the conclusion shown below could be reached using coordinate methods. Give a reason for your answer. a. yes; same slope
b. no; may not have intersection point
b
c. yes; product of slopes = –1
d. no; may need angle measures

Answers

State whether the conclusion shown below could be reached using coordinate methods. no; may not have intersection point. The answer is letter B

Here are the possible outcomes when a pair of fair dice is rolled.1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12

In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive

Answers

I don't understand the big table of numbers at the top at all,
and don't see how it relates to the question.

There are 36 possible outcomes for the roll of a pair of dice.
According to your specifications, the successes are:

-- Multiples of 3:
   1 ... 2 (3)
   2 ... 1
   3 ... 3 (6)
   1 ... 5
   5 ... 1
   2 ... 4
   4 ... 2
   3 ... 6 (9)
   6 ... 3
   4 ... 5
   5 ... 4
   6 ... 6 (12)
(12 different outcomes)

-- Even numbers:
   1 ... 1 (2)
   1 ... 3 (4)
   3 ... 1
   2 ... 2
   3 ... 3 (6)
   1 ... 5
   5 ... 1
   2 ... 4
   4 ... 2
   2 ... 6 (8)
   6 ... 2
   3 ... 5
   5 ... 3
   4 ... 4
   4 ... 6 (10)
   6 ... 4
   5 ... 5
   6 ... 6    (12)
(18 different outcomes)

The events are NOT mutually exclusive.
A roll of 6 (5 ways) or 12 (1 way) meets both requirements.

Successful outcomes:
Multiples of 3 . . . . 12
Even numbers . . . 18
       Duplicates . . . . 6

So there are 24 different successful outcomes.

Probability = (24) / (36) = 2/3 = (66 and 2/3) %

A system of equations is given. Equation 1: 4x-6y=10 Equation 2: 9x+2y=7

Answers

Solve for the first variable in one of the equations,
then substitute the result into the other equation.
x = 1 ; y = - 1

Find ratio equal to 12:7

Answers

12:7
12(2):7(2)
24:14

12:7 = 24:14
I hoped I helped(:

12:7
You can multiply it by like anything so....
Like if you multiply it by two it will equal
24:14
Or by 3
36:21
It by 4
48:28
It really doesn't matter which one because all the ratios that I just gave you are all equal to 12:7
I really hope I helped

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