The 32 species that make up the dolphin family are closely related to whales and in fact include the animal known as the killer whale, which can grow to be 30 feet long and is famous for its aggressive hunting pods.
(A) include the animal known as the killer whale,which can grow to be 30 feet long and is
(B) include the animal known as the killer whale,growing as big as 30 feet long and
(C) include the animal known as the killer whale,growing up to 30 feet long and being
(D) includes the animal known as the killer whale,which can grow as big as 30 feet long and is
(E) includes the animal known as the killer whale,which can grow to be 30 feet long and it is

Answer:

  EF ≥ 4

Step-by-step explanation:

EF is the midline of the trapezoid so its length is the average of the two base lengths:

  (AD +BC)/2 = EF

  AD +BC = 2·EF . . . . multiply by 2

  8 +2x -4 = 2(x+2) . . . substitute the expressions for the segment lengths

  2x +4 = 2x +4 . . . . . . true for any value of x

We only require that segment BC is non-negative in length, so ...

  BC ≥ 0

  2x -4 ≥ 0 . . . . substitute the expression for BC

  x -2 ≥ 0 . . . . . divide by 2

  x ≥ 2

Then segment EF will be ...

  x +2 ≥ 4 . . . . add 2 to both sides of the inequality for x

The only restriction the figure puts on the length of EF is ...

  EF ≥ 4

_____

We suggest you talk to your teacher about this problem. The figure shown does not require that EF have any particular value.

Answer:

88

Step-by-step explanation:

Answer:

1) -8(v+4) = -8v - 32

2) -9(-8+3x) = 72 - 27x

Answer: P(x≥4) = 0.337

Step-by-step explanation: p = probability of getting head = 0.6, probability of not getting head = q = 1 - 0.6 =0.4

n = number of times experiment was performed = 5

We are to find

P(x≥4) = 1 - P(x≤3)

We can get the value of P(x≤3) using a cumulative binomial probability table.

P(x≤3) = 0.663

P(x≥4) = 1 - 0.663

P(x≥4) = 0.337

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Data

Cylinder                      Cone

height = 12 in              height = 6 in

radius = 4 in                radius = 4 in

Volume = x                 Volume = y

Process

1.- Calculate the volume of the Cylinder

V = πr²h

V =  π (4)²(12)

V =  π(16)(12)

V = 192 π

2.- Calculate the volume of the Cone

V = 1/3  πr²h

V = 1/3  π(4)²(6)

V = 1/3  π(16)(6)

V = 96/3  π

V = 32 π

3.- Calculate the volume of the head

Volume = 192 π + 32 π

Volume = 224 π in³

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Answer:

The answer to your question is       (8 - x) (8 + x)

Step-by-step explanation:

Data

Factor    64 - x²

Process

To factor this polynomial use the rule to factor a difference of squares.

1.- Find the square root of 64

            [tex]\sqrt{64} = 8[/tex]

2.- Find the square root of x²

             [tex]\sqrt{x^{2}} = x[/tex]

3.- Write the result, using two sets of parentheses and alternating sings

          (8 - x) (8 + x)

Answer:

B rentals is better deal for journey  432 miles

If she spending same money either company  the distance travels in a week is[tex]x=600[/tex] miles

Step-by-step explanation:

Given,

Mr K rentals cars [tex]=\$ 99[/tex] per week  and [tex]\$ .11[/tex] for over 100 miles

B rentals car[tex]=\$ 75[/tex] per week and [tex]\$ .15[/tex] for over 150 miles

Let total journey cost of Glenna  if she travels 432 miles

For Mr, K rentals  is Y

Y=99+.11\times \left ( 432-100\right )

[tex]Y=99+.11\times \left ( 432-100\right )[/tex]

[tex]Y=99+36.52[/tex]

[tex]Y=\$ 135.52[/tex]

For  B rental  journey cost is Z

[tex]Z=75+.15\left ( 432-150 \right )[/tex]

[tex]Z=75+42.3[/tex]

[tex]Z=\$ 117.3[/tex]

If she spending same money either company

x mile she drive in a week

[tex]Y=Z[/tex]

[tex]99+.11\left ( 432-100 \right )x=75+.15\left ( 432-150 \right )x[/tex]

[tex]99-75=.15x-.11x[/tex]

[tex]24=.04x[/tex]

[tex]x=24/.04[/tex]

[tex]x=600[/tex]

Answer:

Movietown Theater made a total of 10.2 pounds of butter on Thursday

Step-by-step explanation:

Movietown Theater made [tex]\frac{4}{5}[/tex] fraction of their popcorn with butter and 32.5 ounces without butter.

Fraction made without butter=[tex]1-\frac{4}{5}=\frac{1}{5}[/tex]

It means [tex]\frac{1}{5}[/tex] of total popcorn made(t) was without butter.

[tex]\frac{1}{5}Xt=32.5[/tex]

t=32.5X5=162.5

They made 162.5 ounces of butter in total

Next, we determine the weight in pounds

16 ounces = 1 pound

162.5 ounces = 162.5/16 pounds

=10.2 pounds

Answer:

The answer to your question is Yes, the point P lies on the circle

Step-by-step explanation:

Data

P (2[tex]\sqrt{3}[/tex], 2)

Center (0, 0)

Q (0, -4)

Process

1.- Find the radius of the circle

dCQ = [tex]\sqrt{(0-0)^{2}+ (-4 + 0)^{2}}[/tex]

dCQ = [tex]\sqrt{0^{2} + (-4)^{2}}[/tex]

dCQ = [tex]\sqrt{16}[/tex]

dCQ = 4

2.- Find the equation of the circle

    (x - 0)² + (y - 0)² = 4²

-Simplification

           x² + y² = 16

3.- Substitute P in the equation of the circle

          (2[tex]\sqrt{3}[/tex])² + (2)² = 16

           4(3) + 4 = 16

               12 + 4 = 16

                     16 = 16

4.- Conclusion

The point (2[tex]\sqrt{3}[/tex], 2) lies on the circle because when we evaluate the equation of the circle with this point, we get the length of the radius.

Subset B, D, E, and F are subspaces of P2.

In order for a subset to be a subspace of P2, it must satisfy three conditions: it must be closed under addition, closed under scalar multiplication, and contain the zero vector. Let's analyze each subset to determine if it is a subspace:

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Answer:

The difference in frequency between red light and violet light is 3.2×10¹⁴Hz.

Step-by-step explanation:

Frequency :During any time interval the number of waves which pass through a point in space is known as frequency of that ray.

The unit of frequency is Hz.

There are 7 colors in white ray. The highest frequency color is violet and lowest frequency color is red.

Given that the frequency of red is 4.3 ×10¹⁴Hz.

The frequency of violet ray is 7.5×10¹⁴Hz.

The difference in frequency between red light and violet light is

=(7.5×10¹⁴-4.3×10¹⁴)Hz

=(7.5-4.3)×10¹⁴Hz.

=3.2×10¹⁴Hz.

The difference in frequency between red light and violet light is found by subtracting the frequency of the red light from that of the violet light. The resulting difference is approximately 3.2 x 10^14 Hz.

The frequency of light is a measurement of how many waves pass a point in a given period of time. To find the difference in frequency between the red light and the violet light, we need to subtract the frequency of the red light from the frequency of the violet light.

The frequency of violet light is 7.5 x 1014 Hz, while the frequency of red light is 4.3 x 1014 Hz. To calculate the difference, we subtract these two frequencies as follows:

7.5 x 1014 Hz - 4.3 x 1014 Hz = 3.2 x 1014 Hz

Therefore, the approximate difference in frequency between red light and violet light is 3.2 x 1014 Hz.

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Answer:the total 20

Step-by-step explanation:

Answer:

h(3) = 7

h'(3) = 15/7

Step-by-step explanation:

h(3) = f(g(3)) = f(5(3²)+4)

h(3) = f(49)

h(3) = 7

h(x) = (5x² + 4)^½

h'(x) = ½[(5x² + 4)^-½] × 10x

h'(x) = 5x[(5x² + 4)^-½]

h'(3) = 5(3)/7 = 15/7

Answer:

4

Step-by-step explanation:

Answer: option c

Step-by-step explanation: Qualitative research consist in observing some variables and obtaining information. Usually the qualitative researc does not involve the manipulation of independent variables, these tipes of researches focuses more in collecting "answers" in groups of people, and making staistics with those answers or information. So the variables are not manipulated, and the correct answer is the option c

Answer: option d. Both a and b

Step-by-step explanation:

Qualitative research is a type of social science research that collects and works with non-numerical data and that seeks to interpret meaning from these data that help understand social life through the study of targeted populations or places.

Answer:

Consider two representations. Representation A is abstract and bears no systematic relationship to what it represents, whereas Representation B shares some features of what it represents. Representation A is a **symbolic representation** and Representation B is an **analogical representation**.

Step-by-step explanation:

Symbolic representation as it sounds, uses visual symbols to represent variable/data. This form of representation doesn't need an explanation or a relationship between the symbol and what it is representing. There are numerous examples of these all over Mathematics and Physics. For example, Angular speed is represented by ω; there isn't a direct relationship between ω and angular speed. We have just come to accept that the symbol, ω, stands for angular speed.

Analogical representation hold some of the actual characteristics of what they represent. One can tell much about what is being represented just by looking at the analogical representation.

Pictures, graphs, Maps etc., are great examples of analogical representations.

The mode is 1. 1 shows up the most in the given data.

Answer: 1

Step-by-step explanation:

Answer:

c= 0.10m+ 25

Step-by-step explanation:

using the format y=mx+b

25 is your flat cost that they charge every month, and 0.10 is what they charge per minute.

m is the number of minutes so that is the unknown variable.

c is your total cost.

you take the flat cost per month (25 dollars) and add it to however many minutes multiplied by 0.10 (.10m)

The equation for determining the total phone bill given a monthly fee of $25 and a rate of $0.10 per minute is, c = 25 + 0.10m. Here, c represents the total monthly cost and m represents the number of minutes of phone usage.

The subject of the question is linear algebra, and it requires forming an equation for a given scenario. In this case, the monthly cost of the cellular phone service is a function of the number of minutes of phone usage. The fixed monthly fee is $25, and there is an additional charge of $0.10 per minute.

So if m represents the number of minutes of phone usage, and c represents the total monthly cost, then the equation that can be used is: c = 25 + 0.10m

This is because for each minute used, an extra $0.10 is added to the total cost. If no minutes are used, the total cost is just the fixed $25. If 50 minutes are used, for example, the total cost is $25 + (0.10 * 50) = $30.

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The expression [tex]\(24x + 36y\)[/tex] represents the total cost of Coach Martinez's order for 12 team members, where [tex]\(x\)[/tex] is the cost of each pair of shorts and [tex]\(y\)[/tex] is the cost of each shirt.

The total cost [tex](\(C\))[/tex] of Coach Martinez's order can be represented by the expression:

[tex]\[ C = \text{Cost of shorts} + \text{Cost of shirts} \][/tex]

Since Coach Martinez is ordering 2 pairs of shorts and 3 shirts for each player, and there are 12 members on the team, the expression for the total cost is:

[tex]\[ C = 12 \cdot (2x) + 12 \cdot (3y) \][/tex]

Simplify this expression to get the total cost:

[tex]\[ C = 24x + 36y \][/tex]

Therefore, the expression [tex]\(24x + 36y\)[/tex] represents the total cost of Coach Martinez's order for 12 team members, where [tex]\(x\)[/tex] is the cost of each pair of shorts and [tex]\(y\)[/tex] is the cost of each shirt.

Answer:

Step-by-step explanation:

given that in a round robin tennis tournament, each player plays every other player exactly once.

Suppose there are two players i.e. n=2, we have only one match satisfies

[tex]\frac{2(2-1)}{2} =1[/tex]

Hence P(2) is true

Assume P(k) is true.  For k players no of matches played

= [tex]\frac{k(k-1)}{2}[/tex]

To prove true for n = k+1

If to k players one new player is introduced, then the new player should play all the k players to have the condition satisfied

i.e. no of matches = no for k players + k

= [tex]\frac{k(k-1)}{2} +k\\= \frac{k^2-k+2k}{2} \\= \frac{(k+1)k}{2}[/tex]

So if true for n =k, then true for n =k+1

Already true for n =2

By induction true for all natural numbers starting from 2.

Answer:

Identity; conditional

Explanation:

Identity functions are functions that returns the SAME value which was used in its argument. In this case, f(x) = g(x). Therefore f(x) = g(x) = x.

Conditional functions are conditions that evaluates the condition and returns DIFFERENT values all depending on the condition value. That is, in this case, f(x) is not equal to g(x) for every x domain.

So, while identity functions returns the same value, conditional functions returns different functions.

Final answer:

An equation where f(x) equals g(x) for every x in the domain is an identity equation; otherwise, it's a conditional equation. For f(x) = x² and g(s) = s², they are the same function. Function f can be expressed in terms of y if g is invertible.

Explanation:

If f(x) equals g(x) for every x in the domain, the equation is called an identity. Otherwise, it is called a conditional equation.

For the given functions f(x) = x² and g(s) = s², we can see that they are indeed the same function, as they both satisfy the vertical-line test and map every x in the domain to a unique y in the range.

In the context of variable transformations, if y = g(x) defines a transformation from x to y, we could describe function f(x) in terms of the variable y only if there is a way to express x in terms of y. If g is invertible, then we can write f as a function of y by finding g⁻¹(y) and then applying f to it, yielding f(g⁻¹(y)).

Answer:

Step-by-step explanation:

Let x represent the pounds of walnuts used in the mixture. He wants to mix the pecans and walnuts together to form a 90 pound mixture. This means that the pounds of Pecans in the mixture is (90 - x)

The grocer bought some walnuts for 45¢ per pound and some pecans for 60¢ per pound. If the mixture would sell at 55 cents per pound, The expression representing the total cost of the pecans used in the mixture is

45x + 60(90 - x) = 55(90)

45x + 60(90 - x) = 4950

Answer:

Therefore the dimensions of the fence 24 feet by 10 feet.

Step-by-step explanation:

Rectangle

Given

The perimeter of the fence is 68 feet

The area of the rectangular yard is 240 square feet

Let the length be x feet and breadth is y feet

According to the problem,

2(length+breadth)=68

⇒2(x+y)=68

⇒[tex](x+y)=\frac{68}{2}[/tex]

[tex]\Rightarrow x+y=34[/tex] .......(1)

The area of the rectangular is

length×breadth=240

⇒x×y=240

[tex]\Rightarrow x=\frac{240}{y}[/tex]

Putting the value x in the equation

[tex]\frac{240}{y}+y=34[/tex]

[tex]\Rightarrow \frac{240+y^2}{y}=34[/tex]

[tex]\Rightarrow 240+y^2=34y[/tex]

⇒y²-34y+240=0

⇒y²-24y-10y+240=0

⇒y(y-24)-10(y-24)=0

⇒(y-24)(y-10)=0

⇒y=24,10

When, y=24

[tex]x=\frac{240}{24}=10[/tex]

When y=10

[tex]x=\frac{240}{10}[/tex] =24

Therefore the dimensions of the fence 24 feet by 10 feet.

Final answer:

An appeal to authority is using an expert's statement to support a conclusion, which is valid when the statement is within the expert's field. The authority should be able to provide support for the claim, and the appeal should not be based on the authority's position alone. The fallacy of false authority arises when an individual is not actually an expert in the subject matter they are discussing.

Explanation:

The term appeal to authority or argumentum ad verecundiam involves using the statement of an expert to support a conclusion. However, not every appeal to an authority is valid. A key point is that the statement must fall within the expert's range of expertise. For example, a Nobel Laureate in Economics would not be a qualified authority on medical issues unless their advice pertains to economic factors of medicine.

An argument from authority becomes fallacious when the cited authority is not an expert in the relevant field. Moreover, the authority's position should not be the sole foundation for a conclusion; the authority must be able to provide independent support for the conclusion. When an appeal to authority is appropriate, it means that the person being cited is a recognized expert and is knowledgeable and credible in the area under discussion, such as a doctor when it comes to medical issues or a lawyer in legal matters.

The question provided is incomplete, here is the complete question content from google

December 26 *Received all the goods that Waren authorized Eastern Wisonsin University to return on EWU's return request No. R8034 for credit against their account balance. **Process and record the sales return now. December 26 * Receive check No. 49326 for $10,000 for Eastern Wisconsin University in partial payment of the remaining amount (after sales return) on charge invoice No. 729, and deposited the check. **Do not finalize a deposit slip until you determine whether there are no other cash receipts on the same day. After entering the partial payment for invoice #729 with check 49326, where else am I suppose to post to? With the check from EWU, would you post this in the Cash Disburstments Journal?

Answer:

No. When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

Step-by-step explanation:

When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

In cash disbursement journal, transactions are recorded as related to payments made while in cash Receipt Journal ,transactions are recorded  when the money has been received.

The question refers to a business transaction scenario wherein goods authorized by Waren for return by Eastern Wisconsin University (EWU) have been received. This event will result in a credit against EWU's account balance with Waren, marked by return request No. R8034.

The scenario mentioned refers to a business transaction between two entities, Waren and Eastern Wisconsin University (EWU). In this situation, EWU is returning goods back to Waren, which have been authorized by the latter. Following successfully receiving the goods, Waren would credit the account balance of EWU, essentially setting off the monetary value of the returned goods against any debt that EWU might owe Waren. This is a common practice in various business transactions and is known as Returns against credit.

The return request No. R8034 specifically identifies this transaction, enabling the parties involved to keep track of their exchanges and to effectively manage their financials.

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Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

[tex]Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705[/tex]

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

[tex]\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%[/tex]

Hence, the % increase in price is 41%

Answer:

I) 8.760 * 10 ³ hours

II) 8.76582 * 10 ³ hours

Step-by-step explanation:

1) No. of hours in one year:

24 hours* 365 days= 8760 hours

Scientific Notation= 8.760 * 10 ³ hours

2) 1 year = 31556952 seconds

1 hour=3600

1 year = 31556952 seconds/3600  = 8765. 82 hours

Scientific Notation= 8.76582 * 10 ³ hours

3) The exact numbers of hours using 365 days is 8760 which is written as 8.760* 10 ³ in scientific notation. But using the given data we get =8.76582 * 10 ³ hours

Comparing these answers the first one  has only 3 significant figures

But the second answer has six significant figures if we round these we get 8.8  * 10 ³ hours which has two significant numbers

Aslo rounding the first gives 8.8 * 10 ³ hours which has two significant numbers  and is the same as the other answer rounded

Answer:

a) The mean :1205, standard deviation = 2.887

b)0.5

Step-by-step explanation:

The attached diagram has the solution and explanation

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

[tex]\frac{9}{1}=\frac{x}{3}[/tex]

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

Answer:

Option C. $30

Step-by-step explanation:

As per question buyers are willing to pay $135 per tuning. If David demands more than this amount producer will not choose David to tune.

As we can see on first week David is willing to tune the first piano for $115,

So surplus for producer will be

135 - 115 = $20

Surplus for second week for producer will be

135 - 125 = $10

Since David is willing to tune the third and fourth piano for $140 and $175 then the producer will not choose David for tuning.

Therefore, total surplus for the producer will be $20 + $10 = $30

Option C. $30 is the correct option.

Answer:

The iron will need 10 amps

Step-by-step explanation:

The extension cord can support uptown 8 amps.

The iron has a 1200watts labelled on it

Converting watts to amps by dividing by 120 gives:

1200watts/120 =10 amps

The iron is 10amps