Cindy has a board that is 7 inches wide 1 and 23. 4 inches long. she needs to use the board to replace a shelf that is 7 15 inches long. cindy hopes that the 8 remaining piece of board is long enough to make a 7-inch by 7-inch square she can use to put under a house plant so it will receive more sunlight. how long is the remaining piece of board? is it long enough?

Answer: $20

Step-by-step explanation:

First, the earnings per share will be:

= $600 mill / 100 mill shares

= $6 per share

Since the retention ratio is 20%, it means that the payout ratio = 100% - 20% = 80%.

Therefore, the dividend per share will be:

=$6 × 80%

= $6 × 0.8

=$4.80

We will calculate then calculate market price as:

Dividend yield =Dividend per share / Market price

0.04 =$4.80 / Market price

Market price =$4.80 / 0.04

Market price = $120

The price earnings ratio will be:

= Market price / EPS

= $120 / $6

= $20

Answer: 667.95 and 233.05

Step-by-step explanation: Just add and subtract 217.45 from 450.50 to get the answers. Hope this helps! Brainliest?

Answer:

1. 11

2. D: 90

Step-by-step explanation:

Hope I helped and can I have brainliest please? :)

Steps:

1. if you put this in a calculator this is how you would get the answer:

(2*3)^(2) -5^(2) and you get 11.

2. same with this one: 3^(4)+9

so 3x3x3x3+9=90

Answer:

1. 7

2.A

Step-by-step explanation:

Using the line of best fit, it is found that a person would remember 5 words after being distracted by 7 text messages.

Researching the problem on the internet, it is found that it states that the number of words a person remembers after being distracted by x text messages is given by a linear function.

Looking at the line, it is found that when x = 7, N(x) = 5, hence a person would remember 5 words after being distracted by 7 text messages.

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The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:

If x + y is irrational then x is irrational or y is irrational.

If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.

Let our statements be,

p: x and y are both irrational

∴ p': x is irrational or y is irrational

q: x + y is irrational.

∴ q': x + y is irrational.

The given theorem is the relation, p ⇒ q.

We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.

This relational statement is:

If x + y is irrational then x is irrational or y is irrational.

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Answer:

there are a lot of numbers that begin 39 so your answer is 2...

Step-by-step explanation:

mr clean, mr cleans dog soonTM

6x2y÷3

we will first multiply 6 by 2y

This will give 12y

Then we will divide 12y by 3

That is;

12y/3 = 4y

Hence:

6x2y÷3 = 4y

Answer: 13

Step-by-step explanation:

Answer:

9.

Step-by-step explanation:

The GCF of 36, 9 and 18 = 9

The GCF of x^3, x^2 and zy^2 = 1

So the answer is 9 * 1.

Answer:

9

Step-by-step explanation:

i

Answer:

4

Step-by-step explanation:

If u is parallel to v, so:

(24x - 1) + (20x +5) = 180

24x - 1 + 20x + 5 = 180

24x + 20x - 1 + 5 =180

44x - 1 + 5 = 180

44x + 4 = 180

44x = 180 - 4

44x = 176

44x / 44 = 176 / 44

To sketch the curve of the given functions, we can follow these steps:

7. \(\( y = \frac{1}{5}x^5 - \frac{8}{3}x^3 + 16x \)\)

We can start by analyzing the function to understand its behavior. The given function is a polynomial function of degree 5. It consists of three terms, each involving different powers of x.

By observing the coefficients of the terms, we can determine the general shape of the curve. The leading term is \(\( \frac{1}{5}x^5 \)\), indicating that the curve will have a positive slope and the end behavior will rise on both ends. The second term, \(\( -\frac{8}{3}x^3 \)\), suggests that the curve will have points of inflection or changes in concavity. The third term, \(\( 16x \)\), is a linear term, which contributes to the overall slope of the curve.

To further analyze the behavior of the curve, we can find the critical points by taking the derivative of the function and setting it equal to zero. This will help us identify local maxima, local minima, and points of inflection.

Taking the derivative of the function, we get:

\(\( y' = x^4 - 8x^2 + 16 \)\)

Setting \(\( y' = 0 \)\), we can solve for x:

\(\( x^4 - 8x^2 + 16 = 0 \)\)

This equation can be factored as:

\(\( (x^2 - 4)(x^2 - 4) = 0 \)\)

Which gives us:

\(\( x = \pm 2 \)\)

These critical points indicate possible local maxima or minima.

Using all the information gathered, we can now sketch the curve. We start by plotting the critical points at x = -2 and x = 2. We also consider the end behavior, which rises on both ends. By connecting these points and considering the concavity changes, we can sketch the curve of the function.

19. \(\( y = \frac{x^3}{x^3 + 1} \)\)

Similar to the previous function, we can analyze the given function to understand its behavior. The function is a rational function involving a fraction with a numerator and a denominator.

By examining the terms, we can observe that the degree of the numerator and denominator is the same, which suggests a horizontal asymptote. The numerator, \(\( x^3 \)\), indicates that the curve will rise on both ends, while the denominator, \(\( x^3 + 1 \)\), provides additional information about the behavior of the curve.

To find the vertical asymptote(s), we set the denominator equal to zero:

\(\( x^3 + 1 = 0 \)\)

Solving this equation, we find that there is a vertical asymptote at \(\( x = -1 \)\).

Using this information, we can now sketch the curve. We plot the vertical asymptote at \(\( x = -1 \)\), consider the behavior of the numerator and denominator, and connect the points accordingly.

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

y= mx+c

-3=-4(6)+c

-3=-24+c

-3+24=c

21=c

c=21

y=-4x+21

Your answer is in bold below!

8.5 x 3 = 25.5

Answer: Her brother is 25.5 kg.

Step-by-step explanation:

If her brother is 3 times as heavy, we need to multiply 8.5 kg by 3.

8.5 kg times 3 is 25.5 kg.

Answer:

bro got you

x>-6

Step-by-step explanation:

 \(\bold{x}\) ≥ \(\bold{-6}\)

______________________________

  - We have to get rid of both numbers on each side, so to do so, we do the opposite of what we see: Since we have a negative 7, we add 7 on each side.

Equation at the end of Step 1:

 -  We have to get rid of numbers on each side, so do to so, we do the opposite of what we see. Since we have a negative 3 being multiplied, we divide by -3 instead.  

 - Since -3 is negative, the inequality direction is changed as well.

Equation at the end of Step 2:

______________________________

Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

C.

Step-by-step explanation:

A negative number divided by a negative number is a positve number.

Answer:

c and d

Step-by-step explanation:

C

A function represents the relationship between the inputs and outputs.

Vertical Line Test

The question gives us multiple representations of relationships, so we need to use different methods to evaluate each. For the graph, we can use the vertical line test. This test is when you draw vertical lines on the graph. If you can draw a vertical line anywhere on the graph and not have it intersect with more than one point, then the graph is a function.

For answer A, if you draw a vertical line at x = -1, the line intersects with 2 different points. This means that A cannot be a function.

Repeating X-Values

For all of the other answer choices, we are given some form of a table of x and y-values. In functions, x-values do not repeat. This means that for every x-value there will only be 1 y-value.

For example, answer B has 2 different y-values for x = -1; thus B cannot be a function.

Also, answer D has different y-values for x = 3, so it is also not a function.

However, every x-value in answer C is unique. Y-values repeat, but it's still a function because x-values do not. This means that C is the only function.

Answer:

24.00

Step-by-step explanation:

24.oo to the nearest hundred

Answer: 1/7 is the answer

The number of nickels and dimes that Ariana has are 58 and 91

Linear Equation:

The polynomial equation with 1 degree representing an unknown quantity is known as a Linear equation. Here to represent the unknown quantity we will use variables like x, y, z .... etc.

From the given problem,

The amount that Ariana = $12.00

As we know 1 dollar = 100 cents

⇒ $12.00 = 12 × 100 = 1200 cents  

Total number of nickels and dimes = 149

Since we don't know the number of nickels and dimes we will represent them with variables x and y respectively.

The amount of x nickels coins

= x × 5 cents = 5x cents   [ ∵ nickels = 5 cents ]  

The amount of y dimes coins

= y × 10 cents = 10y cents   [ ∵ dimes = 10 cents ]  

From the above calculations the equation that can be formed

Total amount that Ariana is 5x + 10y = 1200 cents

=> x + 2y = 240 ----- Equation (1)  

Total number of coins is  x + y = 149 ----- Equation (2)    

Now solve (1) and (2) to find the number of each coin  

Do (1) - (2)

=> x + 2y - [ x + y ] = 240 - 149

=> x + 2y - x - y  = 91  

=> y  = 91      

Substitute y = 91 in Equation (2)      

(2) => x + 91 = 149

=> x = 58

The number of nickels and dimes that Ariana has are 58 and 91

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Answer:

A) T and R

B) <SQR or <RQS

C) Q

Step-by-step explanation:

A) The sides of a angle are the end points which are T and R in this case.

B) Angle 2 has S and R and its end points. And the vertex which is Q is always in the middle, so the angle is <SQR and <RQS

The  distance John would have to walk to get from point A to point B without going through the pond is 60.84 meters.

Since, John walks 36 m south and 49 m east which covered the distance equal to the hypotenuse of a right triangle

Using the Pythagorean theorem

c² = a² + b²

c² = 36² + 49²

c² = 1296 + 2401

c² = 3697

c = √3697

c = 60.84 m

Thus, the distance is 60.84 meters.

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An expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

"It is a combination of numbers, variables and some mathematical operations."

It is an acronym and it stands for Bracket , Order , Division , Multiplication , Addition and Subtraction .

In this question ,

its been said to first add then multiply

First add 450 to 348

(450 + 348)

now multiply the result with 7

(450 + 348  ) × 7

Therefore, an expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2×2=4 4-4=0 so the answer is 2

Answer:

2

Step-by-step explanation:

g(x)=2x-4

x=? when g(x)=0

we know,

g(x)=2x-4

0=2x-4

4=2x

x=4/2

x=2#