List the new coordinate of point J' when the figure is reflected over the y-axis.

Step-by-step explanation:

a. lim(x→2) [g(x) + h(x)]

Use additive property of limits.

= lim(x→2) g(x) + lim(x→2) h(x)

= 0 + 5

= 5

b. lim(x→2) [3 h(x)]

Use multiplication property of limits.

= [lim(x→2) 3] [lim(x→2) h(x)]

= 3 lim(x→2) h(x)

= 3 (5)

= 15

c. lim(x→2) [g(x) h(x)]

Use multiplication property of limits.

= [lim(x→2) g(x)] [lim(x→2) h(x)]

= (0) (5)

= 0

Answer:

Pyramid

Step-by-step explanation:

Figures in the diagram:

The first two have two dimensions and the third one has three dimensions

Therefore pyramid does not belong

Answer:

Interval

Step-by-step explanation:

The interval scale is guageable and data following this scale can be added and subtracted.

Years are values we can either subtract or minus so they fall under the interval scale.

Also, they have no absolute zero, which is a characteristic of the interval scale.

Answer:

j=5.25

Step-by-step explanation:

j+22/8=8

j=8/1-22/8

j=64-22/8

j=5.25

Proof:

5.25+22/8=8

525/100+22/8=8

4200+2200/800=8

6400/800=8

8=8

Answer:

Domain: [- ∞, 4.5],

Range: [0.5, ∞]

Step-by-step explanation:

One approach is a graphical representation to solving the problem, which you can see as the two attachment's below. Clearly the domain would be on the interval [- ∞, 4.5] and the range would be on the interval [0.5, ∞]. There is another approach to this though,

We can determine the domain by finding what value for p makes the function undefined

Given : h(p) = (p + 3) / (2p - 9),

Value for p where denominator = 0 :

2p - 9 = 0,

2p = 9,

p = 9 / 2 = 4.5

And to determine the range we have to determine the set of values that corresponds with the domain. In this case it's p = 0.5.

Answer:

[tex]8^{\frac{8}{3}}[/tex]

Step-by-step explanation:

Rule of Exponents: [tex](r^n)^m=r^{m(n)}[/tex]

Simply multiply the powers together:

2/3(4) = 8/3

[tex]8^{\frac{8}{3}}[/tex]

Answer:

Its 8 and eight-thirds

Step-by-step explanation:

Answer:

∠POA= ∠POB = 50°

Step-by-step explanation:

The diagram of the given question has been drawn in the attachment.

From the diagram

Δ PAO  is congruent to Δ PBO.

as PO is common in Δ

∠ PAO = ∠PBO = 90°

PA =PB [ tangent from an external point]

⇒∠POA= ∠POB

Also, ∠APB+ ∠AOB = 180°

⇒ 80° + ∠AOB = 180°

⇒∠AOB = 100°

⇒ ∠POA= ∠POB = 50°

Answer: Between 12 and 13

Step-by-step explanation: When put into the calculator to solve the answer comes up as 12.846325...

The answer would be A!

The reason it's A is because you have two arrors on the number line! Hope this helps with your odyssey ware work!

[tex]\overline{AB}[/tex] is the correct name for the given line.

A line is called a line segment when it has two endpoints.

A line is called a ray when it has one initial point and the other end is denoted by an arrow stating it can be extended in one direction.

A line with two arrows can be extended in both directions generally called a line.

According to the question we have been given a diagram and we have to determine the correct name of the line AB with two points.

We know that when a line has two end points it is called a line segment.

∴ The correct name is [tex]\overline{AB}[/tex]

Learn more about lines here :

https://brainly.com/question/11689511

#SPJ2

Answer:

The divison would be:

My two yonger siblings: P3000 Each

Me: P4000.

This idea came about due to the fact that, the eldest an the youngest siblings are not meant to receive equal amount of anything when it is shared among them.

Step-by-step explanation:

This is the only logical way in which the P10,000 can be shared between me and my younger siblings in-order to obtain a whole pesos division and with no fractions. Anything aside this, would give room to involve spare change.

The amount each person gets from P10,000 in whole pesos and with no spare change is P4,000, P,3000 and P3,000 respectively.

Total amount given as allowance = P10,000

Number of people to share it = 3

1 older and 2 younger siblings

Let

the older sibling get P4,000

Each younger sibling gets P3,000

Each person gets a whole value of pesos without a remainder in the total allowance given.

Therefore, the amount each person gets from P10,000 is P4,000, P,3000 and P3,000

Read more:

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Answer:

Base = 16cm

Height = 7cm

Answer:

base = 16 cm

height = 7 cm

Step-by-step explanation:

area of a rectangle = base (b) x height (h)

base (b) = 9 + h

area = 112 cm²

plug in values:

112 = (9 + h) * h

112 = 9h + h²

h² + 9h - 112 = 0

h can be solved using quadratic equation

       -9 ± √ (9² - 4 (1) (-112))

h = --------------------------------------

                        2

     -9 ± √529

h = ----------------

            2

h = 7  ;    h = -16

therefore  the height of  a rectangle (h) = 7 cm

solve for base (b)

base (b) = 9 + h

base (b) = 9 + 7

base (b) = 16 cm

proof:

area of a rectangle = base (b) x height (h)

112 = 16 * 7

112 = 112 ---- ok

Answer:

2.45

Step-by-step explanation:

1. Probability distribution shows us sample space(number of calls) and their probabilities

Number of calls. Probability

0. 0.10

1. 0.15

2. 0.30

3. 0.20

4. 0.15

5. 0.19

2. We are to find expected number of calls

(0x0.1) + (1x0.15) + (2x0.30) + (3x0.20) + (4x0.15) + (5x0.10)

E(X) = 0 +0.15 + 0.6 + 0.6 + 0.6 + 0.5

= 2.45

The expected number of Service calls per day is 2.45

Thank you!

Answer:

The answer is

Step-by-step explanation:

To find the percentage at which the number decreased we use the formula

From the question

The original number is 35

To find the change subtract the smaller number from the larger number

That's

Change = 35 - 33 = 2

Substitute the values into the above formula and solve.

That's

We have the final answer as

Therefore the number decreased by 5.7%

Hope this helps you

Answer:5.7

Step-by-step explanation:

Hope that helps

Solution:

Given,

Volume of the-

First cube box=1728 in³

Second cube box=13824in³

We know that volume of cube =a³

So for the first box

a³= 1728 in³

a= 12 in

Now, surface area of the first box

6a²= 6×(12)²

= 864 in²

and for the second box

b³= 13824 in³

b= 24 in

Now, the surface area of the second box

6b²= 6×(24)²

= 3456 in²

Now, the ratio of the surface area of first box to the second box will be

864:3456

=1:4

The surface area of the larger of two boxes is

3456 in²

Answer:

plane because i know what it is                                                                                                  

Answer: plane

Step-by-step explanation: I just did it

Answer:

60 ; 5220

Step-by-step explanation:

A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5

(80 + 5) = 85

B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate

From the graph :

85 per 100 could spell weird correctly while,

About 25 per 100 could spell inoculate correctly.

Difference In number per 100 people

(85 - 25) = 60 people per 100

We could round 8719 to the nearest 100 = 8700

Number of 100's in 8700 = 8700/100 = 87

(87 × 60) = 5,220 people

Answer: Reflection.

Step-by-step explanation:

In the image, we can see that the right angles share a common side. In this common side, we can see that the right angles of the triangles are next to each other (because we have a straight line cut by a perpendicular one) and the same case for the top angle.

Then if we do a reflection over this common line of one of the triangles, the result will be the other triangle.

Then the correct option is a reflection

The rigid motion that verifies the triangles are congruent by SAS is reflection.

The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.

According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.

Read related link on:

https://brainly.com/question/17296106

Answer:

  d, e

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

In this case, it means the product is ...

  (6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

__

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

__

Only the last two choices, d and e, apply.

Answer:

the loss per part was - $31

Step-by-step explanation:

If the total of losses was $2480 for 80 identical parts, then the loss per part is the division of $2480 by 80:

$2480/80 = $31

So the loss per each part was $31

which normally will be given with a negative sign in front indicating loss:

- $31

Answer:2

Step-by-step explanation:

you just  do 6 divided by 3 and get 2

Answer:

-6

Step-by-step explanation:

you multiply (3)x(-2). a negative times a positive is a negative. so you get -6

Answer:

x=(-1+B)/A

Step-by-step explanation:

1+Ax-B=0

Ax-B=0-1

Ax=0-1+B

x=(0-1+B)/A or 0/A-1/A+B/A

:)

Answer:

A point (r, s) on the graph of w(x) moves to (r + 19, s).

Step-by-step explanation:

May be wrong, haven’t checked yet

Answer:

n = 22

Step-by-step explanation:

Using

n = p(1-p)(Zc/E)²

From table E = 0.2 while p= 0.37

So substituting

We have n= 22.4

Thats a sample size of approximately 22

Answer:

X=53. X=38

Step-by-step explanation:

46+81+x=180

X=180-127

X=53 degrees

31+112+x=180

X=180-143

X=37 degrees

Answer: OPTION 3 10i

Step-by-step explanation:

First of all, you need to know about imaginary number, or i.

i (imaginary number)= √-1

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

√-100=√100 × √-1 ⇔ This splitting up √-100 to make it easier for you to understand.

√-1=i ⇔ As mentioned before of the concept of imaginary number

√100= 10 ⇔ It is a perfect square

√-100=√100 × √-1

√-100=10 × i

√-100=10i

Hope this helps!! :)

Please let me know if you have any question

Answer:

1 ten

6 ones

1 tenth

0 hundredths

3 thousandths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

Answer:

Step-by-step explanation:

Given the vertices of a rectangle EFGH as E(7,7), F(1,5), G(2,2), and H(8,4), the perimeter if the rectangle will be the sum total of all the sides of the rectangle.

Using the expression Perimeter of rectangle EFGH = EF+FG+GH+EH

Taking the distance between adjacent vertices to get the length of each segment using the formula;

D = √(x₂-x₁)²+(y₂-y₁)²

For segment EF with vertices E(7,7), F(1,5);

EF = √(1-7)²+(5-7)²

EF = √(-6)²+(-2)²

EF = √36+4

EF = √40

EF = 2√10

For segment FG with vertices F(1,5) and G(2,2);

FG = √(2-1)²+(2-5)²

FG = √(1)²+(-3)²

FG = √1+9

FG = √10

For segment GH with vertices G(2,2), and H(8,4)

GH = √(8-2)²+(4-2)²

GH = √(6)²+(2)²

GH = √36+4

GH = √40

GH = 2√10

For segment EH with vertices E(7,7), and H(8,4)

EH = √(8-7)²+(4-7)²

EH = √(1)²+(-3)²

EH = √1+9

EH = √10

Since  perimeter of rectangle EFGH = EF+FG+GH+EH

Perimeter of rectangle EFGH = 2√10+√10+2√10+√10

Perimeter of rectangle EFGH = 6√10

Answer:

at ∠A     sin Ф = 180 + (2 / [tex]\sqrt{22}[/tex] )

at ∠B     cos Ф = 180 + (3[tex]\sqrt{2}[/tex]  / [tex]\sqrt{22}[/tex] )

at ∠C     tan Ф = 180 + (2 / 3[tex]\sqrt{2}[/tex]  )

Step-by-step explanation:

let (a) = 3[tex]\sqrt{2}[/tex]

let (b) = 2

let (c) = r

to get the value of hypotenuse (r) use pythagorean theorem

a² + b² = c²

2² + (3[tex]\sqrt{2}[/tex] )² = c²

c = [tex]\sqrt{22}[/tex]

use the law of sines to get the value of angle A (point origin)

sin Ф = opp / hyp

cos Ф = adj / hyp

tan Ф = opp / adj

at ∠A

sin Ф = 180 + (2 / [tex]\sqrt{22}[/tex] )

at ∠B

cos Ф = 180 + (3[tex]\sqrt{2}[/tex]  / [tex]\sqrt{22}[/tex] )

at ∠C

tan Ф = 180 + (2 / 3[tex]\sqrt{2}[/tex]  )

Answer:

use conects thats the best for any math problem including word problems

Answer:

$1500/$7.50 = 200 hours

Step-by-step explanation:

Divide the amount she made by how much she makes an hour.

[tex]\frac{1500}{7.50}[/tex] = 200 hours