Hunter's favorite integer is -6. Malika's is-9. Connor's is 15. If they add their favoriteintegers, what will the sum equal?

The transformation rule of the given sequence is:  (x,y)→(−x,−y)

There are different types of transformation such as:

Translation

Rotation

Reflection

Dilation

We are told that △RST maps to △R′S′T′ after a sequence of rigid motions.

Since the absolute values of x and y-coordinates are same but the sign of both coordinates are changed. It is possible, if the figure is rotated 180 degree about the origin.

Now, When a figure rotated 180 degree about the origin, then the transformation rule is: (x,y)→(−x,−y)

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Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

Step-by-step explanation:

Number  of windows broken = 10% of 40

                                               \(= \frac{10}{100}*40\\= 4\)

Answer:

4 windows are broken

Step-by-step explanation:

Answer:

  D.  Symmetric

Step-by-step explanation:

The symmetric property of congruence says, for objects A and B, ...

  if A ≅ B, then B ≅ A.

__

The symmetric property of congruence makes your statement true:

  if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

__

Additional comment

The other answer choices involve other properties:

  Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

  Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

  Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

The property which is illustrated by the given statement is Symmetric property.

Reflexive property states that for any number, c, the number is equal to itself.

Or in case of expressions, a + b = a + b.

Symmetric property states that, for any numbers m and n,

If m = n then n = m.

Transitive property states that, for any numbers m, n and o,

If m = n and n = o, then m = o.

Commutative property is for operation of numbers.

a + b = b + c

Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.

This is symmetric statement.

Hence the correct option is D.

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Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.

the distance between the points (−3,−2) and (−7,−6) is 4 √ 2 units.

In the given question endpoints of the line (Hypotenuse) have been given and we have to find the length of the hypotenuse.

Distance between the two points (−3,−2) and (−7,−6) will be:

Distance = √ ( x₂ - x₁)² + ( y₂ - y₁ )²

Distance =√ ( - 7 + 3)² + ( - 6 + 2 )²

Distance = √ 16 + 16

Distance = √ 32

Distance = 4 √ 2 units

Therefore, the distance between the points (−3,−2) and (−7,−6) is 4 √ 2 units.

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Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

If the BMI is directly proportional to the person's weight (in pounds), then:I

Where w is the weight and k is a constant of proportionality. We know that if w = 145 pounds, the BMI is 23.2. Then:

Finally, if the person loses 5 pounds, w = 140 pounds. Using the first equation:

Step-by-step explanation:

thats shape is a delta

:)

Answer:

arrow head

Step-by-step explanation:

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

trump is trustworthy and he is honest  so yes he is what we need

Step-by-step explanation:

Answer:

is this an actual assignment or do u just want our opinion

Step-by-step explanation:

18 supervisors are needed.

42 children for 3 adults to supervise:

First, we have to divide the number of children by the number of supervisors:

42/3 = 14 children for each supervisor.

Then we have to divide the new number of children (252) by the number of children that each supervisor supervises.

252 /14 = 18 supervisors.

Answer:

-1/3x+3 = x-1

Step-by-step explanation:

The solution is (3,-2)

Check and see if the point solves the equation

-1/3x+3 = x-1

-1/3(3) +3 = 3-1

-1+3 = 3-1

2=2 yes

Answer:

C

Step-by-step explanation:

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute

Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.

A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.

A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.

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Full Question:

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.

A) No. You would need to know that LK ⊥ MK

B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK

Answer: n=11 m=3

Step-by-step explanation:

2n+2=3n-9

n=11

3m+6=n+4

3m+6=11+4

3m+6=15

3m=9

m=3

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

20 pizzas

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

x - y = -15 -3x + 3y = 45 (x, y) = the system of two linear equations using the method of elimination ( 5, 45).

x - y = -15

-3x + 3y = 45

written as

3x - 3y = -15

+3x + 3y = 45

6x = 30

x = 5

Substitute x = 5 into either of the linear equations to find y.

x - y = -15

5 - y = -15

y = 45

Therefore, the solution is (5, 45).

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Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = \(\frac{4}{18}\) = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = \(\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}\)

Now, as it is given that P(not B/not T) = 0.92

So, \(\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92\)

      \(\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92\)

      \(\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92\)

\({\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78\)

\({\text{P}(\text{not B} \bigcap \text{not T})}\) = 0.7176

Also, \({\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}\)

\({\text{P}(\text{ B} \bigcup \text{ T})}\) = 1 - 0.7176 = 0.2824  

Now, the formula for \({\text{P}(\text{ B} \bigcup \text{ T})}\) is given by;

\({\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}\)

0.2824 = 0.11 + 0.22 - \(\text{P(B} \bigcap \text{T})\)

\(\text{P(B} \bigcap \text{T})\) = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = \(\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}\)

                                                         = \(\frac{0.0476}{0.22}\) = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

Answer:

Step-by-step explanation:

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Complex numbers z₁ = 6 · \(e^{i\,\frac{17\pi}{20} }\) and z₂ = 6 · \(e^{i\,\frac{27\pi}{20} }\) are the square roots of the complex number in polar form.

In this problem we find a complex number in polar form, that is, a complex number of the form:

z = r · \(e^{i\,\theta}\)

Where:

The square root of this number can be found by means of the De Moivre's theorem:

\(\sqrt{z} = \sqrt{z} \cdot e^{i\,\left(\frac{\theta + 2\pi\cdot k}{n} \right)}\), for k = {0, 1}

If we know that z = 36 and θ = 17π / 10, then the roots of the complex number are:

z₁ = 6 · \(e^{i\,\frac{\frac{17\pi}{10}}{2} }\)

z₁ = 6 · \(e^{i\,\frac{17\pi}{20} }\)

z₂ = 6 · \(e^{\frac{\frac{17\pi}{10} + 2\pi }{2} }\)

z₂ = 6 · \(e^{i\,\frac{27\pi}{20} }\)

The solutions are z₁ = 6 · \(e^{i\,\frac{17\pi}{20} }\) and z₂ = 6 · \(e^{i\,\frac{27\pi}{20} }\).

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Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)

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Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.