Any body know the answer to this question?

Any Body Know The Answer To This Question?
Any Body Know The Answer To This Question?

Answers

Answer 1

The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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Answer 2

The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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Related Questions

please fill in the missing ​

Answers

According to Table B, There is a series that is being followed next, i.e.,

m = (m+1) * (m-1)

In the given data,

Input is 5, then given output is 6 * 4, similarly

Input is 10, then given output is 11 * 9 which implies that

Output is the products of one more than input and one less than input

⇒5 = (5+1) * (5-1)

⇒5 = 6 * 4

again with 15 = (15+1) * (15-1) ⇒ 16 * 14

with 300 = (300+1) * (300-1) ⇒ 301 * 299

At last, we can construct a series from these data,

m = (m+1) * (m-1)

Where m is input and (m+1) * (m-1) is output of data.

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A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?

Answers

The number of ounces of meat were used is 52 ounces.

Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

Number of sandwiches can make with 91 ounce of meat and cheese

= 91/7

= 13 sandwiches

Number of ounces of meat = 13 × 4 = 52 ounces

Number of ounces of cheese = 13 × 3 = 39 ounces

Therefore, the number of ounces of meat were used is 52 ounces.

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HELP ASAP PLSSSPLSPSLPSLPLSS
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?

Answers

The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.

Which table contains the values of g(x)?

Since f(x) = 3x - 4 and g(x) = f(2x)

so, in f(x) = 3x - 4, we can replace x with 2x:  

g(x) = f(2x) = 3(2x) - 4 = 6x - 4

when x = 1:

g(x) = 6(1) - 4

      = 6 - 4 = 2

when x = 2:

g(x) = 6(2) - 4

      = 12 -  4 = 8

when x = 3:

g(x) = 6(3) - 4

      = 18 -  4 = 14

Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14.  So 4th table contains the values of g(x).

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Answer: D

Step-by-step explanation: I Chose D and got it right for my quiz.

Explain how you could build on know the decimal form of 1/5, to find the decimal form of 3/6. Then, write the decimal.

Answer in Atleast two complete sentences.

Answers

The decimal figure that would be added to 1/5 to give 3/6 = 0.3

What is decimal form?

A decimal form is defined as the expression of figures that are more than a whole number with the use of decimal point.

Examples of figures that are in decimal form include the following: 0.2, 0.3, 0.4, 0.5, 1.2, 2.2,3.3 and 4.4.

To represent the given fractions in decimal form;

1/5 = 0.2

3/6 = 0.5

Therefore, X + 0.2 = 0.5

make X the subject of formula,

X = 0.5 - 0.2

X= 0.3

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A box is to be made out of a
rectangular piece of cardboard that is 12 inches wide and 16 inches long. Squares x inches on a side are cut out of the corners and the sides are bent upwards.

What is the length of the box?

Answers

Length of the resulting box will be of (16-x) inches

How to make a cuboid from a rectangle?

A rectangle can be made into a cuboid by cutting squares of equal length from each corners and then joining the edges.

Given, length of cardboard= 16inches

Width of cardboard= 12 inches

If squares of side x is cut out of the corners and the sides are bent  upwards to make a box,

The dimensions of the resulting box will be,

Length= (16-x) inches

Width= (12-x) inches        

Height= x inches

Therefore the length of the resulting box will be of (16-x) inches.

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3 points
Simplify the following expression

Answers

I WILL USE THE LAWS OF EXPONENTS

[tex] {x}^{n} \times {x}^{m} \\ = {x}^{n + m} [/tex]

AND

[tex] \frac{{x}^{n}}{ {x}^{m} } \\ = {x}^{n - m} [/tex]

[tex] \frac{3 {x}^{ - 2 + 5} }{ {x}^{8} } \\ = \frac{3 {x}^{3} }{ {x}^{8} } \\ = 3 {x}^{3 - 8} \\ = 3 {x}^{ - 5} [/tex]

ATTACHED IS THE SOLUTION.

Answer:

i hope this one is good for you

How do you find ratios?

Answers

For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

[tex]5\colon7[/tex]

it can also be written as a fraction :

[tex]\frac{5}{7}[/tex]

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

[tex]\begin{gathered} 7\colon5 \\ or \\ \frac{7}{5} \end{gathered}[/tex]

The sequence is important.

Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros of − 2 , − 4 , 3 , and 3 .

Answers

The equation of the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

How to determine the polynomial equation?

The given parameters are

Leading coefficient = 1

Zeros =  − 2 , − 4 , 3 , and 3 .

Polynomial equations have their multiplicities to add up to their degree.

This means that the multiplicity of the zeros is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

From the question, the polynomial is to be factored

This means that we represent it as

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

Hence, the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

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Polynomial is an expression consisting of indeterminates and coefficients the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3)

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, which involves  the operations like addition, subtraction, multiplication, and positive-integer powers of variables

Factors are the numbers which divide the expression or number with a remainder zero.

We need to write the factored form of the polynomial functions with real; coefficients and zeros minus two comma  minus four comma three and 3.

The leading coefficient of the polynomial is 1. Leading coefficient means coefficient of leading term.

Zeros =  − 2 , − 4 , 3 , and 3 .

Let the polynomial is of variable x.

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

(x-(-2))=x+2

(x-(-4))=x+4

(x-3)=x-3

So the factored form is (x+2)(x+4)(x-3)(x-3)

the polynomial is P(x)=(x+2)(x+4)(x-3)(x-3)

Hence the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3).

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Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.

Answers

The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Therefore, the p-value for study b exists 0.080.

What is meant by p-value?

The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.

In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)

Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -

[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]

simplifying the above equation, we get

[tex]$P \frac{\alpha}{2}=0.040$[/tex]

Substituting the given value in above equation, we get -

Probability values for a two tailed test

= 0.040 + 0.040

= 0.080

Therefore, the p-value for study b exists 0.080.

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Use slope to determine if lines AB and CD are parallel, perpendicular, or neither 10. A(3, 1), B(3,-4), C(-4,1), D (-4,5)m(AB) m(CD) Types of lines

Answers

Answer:

Neither parallel nor perpendicular

Explanations:

The points are:

A(3, 1), B(3,-4), C(-4,1), D (-4,5)

The slope of a line is given as:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]

The slope of the line AB, m(AB), with gthe points A(3, 1), B(3,-4) is given as:

[tex]\begin{gathered} m(AB)\text{ = }\frac{-4-1}{3-3} \\ m(AB)\text{ = }\frac{-5}{0} \\ m(AB)\text{ =- }\infty \end{gathered}[/tex]

The slope of the line CD, m(CD), with the points C(-4,1), D (-4,5) is given as:

[tex]\begin{gathered} m(CD)\text{ = }\frac{5-1}{-4-(-4)} \\ m(CD)\text{ = }\frac{4}{-4+4} \\ m(CD)\text{ = }\frac{4}{0} \\ m(CD)\text{ = }\infty \end{gathered}[/tex]

A line that has an infinite slope is a vertical line

For the two lines to be parallel, m(AB) should be equal to m(CD)

For the two lines to be perpendicular, m(AB) = -1 / m(CD)

None of the conditions for paralleleism and perpendicularity is met, the lines AB and CD are neither parallel nor perpendicular

-3+n ≥ -4n-3 or 3n-4≥4n + 1

Answers

Answer:

-3+n ≥ -4n-3

Step-by-step explanation:

its good to use a number for n

if n = 5

-3+n ≥ -4n-3 or 3n-4≥4n + 1

for

-3+n ≥ -4n-3

-3+5 ≥ -4(5)-3

-2 ≥ -20-3

-2 ≥ -23

true

for

3n-4≥4n + 1

3(5)-4≥4(5) + 1

15-4≥20 + 1

11 ≥20 + 1

11 ≥21

not true

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

Answers

2:4

explanation: both would simplify to 1/2 (its like a fraction)

cards are drawn from a deck (52 cards) until the first spades comes out. the eighth card drawn is the first spade. what is the probability the next card drawn is the ace of spades?

Answers

Probability that an ace is pulled from the deck = A/T=4/52=1/13

52 cards are there in all.

Four aces are found in all of the card A's.

Thirteen spades in all.

Probability that an ace is pulled from the deck = A/T=4/52=1/13

likelihood that a spade will be the next card drawn =S/T=13/52=1/4

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If [tex]f(x) = -4x^{5} and g(x) = 10x^9 - 12x^4 + 6[/tex] (what is f x g) x?


A.) [tex]-40x^{14} + 48a^{3} x^{9} +6[/tex]

B.) [tex]40x^{14} - 12x^{4} + 6[/tex]

C.) [tex]-40x^{14} + 48x^{9} - 24x^{5}[/tex]

D.) [tex]-40x^{9} + 48x^{4} - 24[/tex]

Answers

Answer:

C

Step-by-step explanation:

(f×g)x just means

f(x) × g(x)

Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.

see image.

Select the correct answer.
Which of these graphs represents a function?

A. W
B. X
C. Y
D. Z

Answers

Answer:

The second graph (B: X?)

Step-by-step explanation:

The second graph (B?) is a function because the graphed line passes the vertical line test (no two points are vertically on top of each other).

A triangle has two sides of length 12 and 12. What is the largest possible whole-number length for the third side?

Answers

The largest possible whole-number length for the third side of the triangle is 23.

The total of any two sides in a triangle with sides a, b, and c MUST be less than the length of the third side.  

You have a line segment, not a triangle if the third side's length equals the sum of the other two sides' lengths.  

Here, the sum of the two sides of the triangle is 12 + 12 = 24.  

Therefore, the length of the third side should be less than 24, and the whole number which is less than 24 is 23.  

Hence, the length of the third side is 23.

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Find the value of x in the following equation:

1.2(3x + 5) = 3.6x + 6

Infinite solutions
No solution
x = 1.8
x = 0

Answers

1.2(3x+5)=3.6x+6

We move all terms to the left:

1.2(3x+5)-(3.6x+6)=0

We multiply parentheses

3.6x-(3.6x+6)+6=0

We get rid of parentheses

3.6x-3.6x-6+6=0

We add all the numbers together, and all the variables

=0

x=0/1

Hence, x = 0

Let f: R - {2} => RX => f (x) = (3x + 4) / (x-2)Is F a bijection?

Answers

A function is called bijective if it is one-to-one and onto.

To check one to one, let x1 = x2 , where x1, x2 belongs to R.

so, we can say that:

[tex]3x_1+4=3x_2+4[/tex]

and

[tex]x_1-2=x_2-2[/tex]

Given the condition that x1 and x2 are not equal to 2. So, the above equation implies that

[tex]\frac{3x_1+4}{x_1-2}=\frac{3x_2+4}{x_2-2}\Rightarrow f(x_1)=f(x_2)[/tex]

So, it is a one-to-one function.

For onto function, let y= (3x + 4) / (x-2). Now, interchange x and y, and solve the equation fo y:

[tex]\begin{gathered} x=\frac{3y+4}{y-2} \\ \Rightarrow xy-2x=3y+4 \\ \Rightarrow xy-3y=2x+4 \\ \Rightarrow y(x-3)=2x+4 \\ \Rightarrow y=\frac{2x+4}{x-3} \end{gathered}[/tex]

Here, the domain of the inverse of the function is R - {3}. But the function is R - {2} => R. So, it is not onto.

thus, the given function is not a bijection.

What is the probability of landing on a number greater then 5 and then landing on a number greater then 4

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating probability

[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}[/tex]

STEP 2: Find the probability of landing on a number greater than 5

[tex]\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}[/tex]

STEP 3: Find the probability of landing on a number

q - r - 3s = p solve for q

Answers

Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

f(x)=-2x-3 find f(6)

Answers

f(6)=-15

f(6)=-2(6)-3
f(6)=-12-3= -15

What is the maximum volume of a rectangular prism (or box) if the prism has a square base and a total surface area of 100 cm^2?

A) First, let x = the side length of the base and h = the height of the prism. Write and solve the equation for h.

B) Write a function for the volume of the box, V, in terms of x.

Answers

a. The equation for h is h = 100/x²

b. The function for the volume of the box V, in terms of x is:

v(x) = x²×h

Given, the prism has a square base and a total surface area of 100 cm².

A) let x = the side length of the base and

h = the height of the prism.

equation for h = ?

Volume = b × h

100 cm² = x² × h

h = 100/x²

B) a function for the volume of the box, V, in terms of x.

we know that x is the base and h is the height.

So, volume in terms of x :

v = b×h

v = x² × h

Hence we get the required answers.

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Mei Mei is younger than Xin. Their ages are consecutive integers. Find Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143.

Answers

Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143. is 23 years.

Let the ages be x and x+1 since they're consecutive numbers.

In this case the sum of Mei Mei's age and 5 times Xin's age is 143. This will be:

x + 5(x + 1) = 143

x + 5x + 5 = 143

Collect like terms

6x + 5 = 143

6x = 143 - 5

6x = 138

Divide

x = 138 / 6

x= 23

Mei Mei is 23 years.

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Question 3 (5 points) Convert the decimal 0.929292... to a fraction.

Answers

Answer:

92 over 100

Step-by-step explanation:

what is 4 2/3 + 1 3/4?

Answers

Answer: 6 5/12

Step-by-step explanation: You could do 3x4 = 12

so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.

Answer:

6 5/12

Step-by-step explanation:

We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4

After reordering, it becomes:

4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4

Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)

5 + 8/12 + 9/12

5 + 17/12

Simplifying the improper fraction gives us:

5 + 1 + 5/12

And the final answer is:

6 + 5/12

6 5/12

Hope this helped!

24, 10:33:13
If f(x) = 4x4 - 3x² + 4, then what is the remainder when f(x) is divided by
x + 3?

Answers

Answer:Given : f(x)=x

4

−3x

2

+4

f(2)=(2)

4

−3(2)

2

+4

=16−12+4=8

This can also be verified by the actual divison

A cereal bar contains 130 calories. The number c of
calories consumed is a function of the number b bars
eaten.
a. Does this situation represent a linear function?
Explain.
b. Find the domain of the function. Is the domain
discrete or continuous? Explain.
c. Graph the function using its domain.

Answers

The domain of the function will be; [0 ∞) and the domain is continuous.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

The number c of calories consumed is a function of the number b bars

eaten is represented by the linear function b = 130c

The domain of the linear function would be [0 ∞).

A whole number or a decimal number may be c.

Any data which can be expressed as a decimal is continuous data.

Therefore, the domain of the function will be; [0 ∞) and the domain is continuous.

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A membership at Gym A costs $50 for 5 months. A membership at Gym B down the street costs $40 for 3 months. You write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year. What is the value of k for the cheaper membership?
HELP PLS I NEED A ANSWER QUICKLY

Answers

The cost for a year is cheaper in Gym A.

The value of k for the cheaper membership is $10.

Which gym membership is cheaper?

An equation in the form y = kx is known as a linear equation. A linear equation is an equation that increases at a constant rate.

In the equation : y = kx

y = dependent variable = total cost x = number of months k = constant of proportion / cost per month

k = y/x

Cost per month at Gym A = $50 / 5 = $10

Cost per month at Gym B = $40 / 3 = $13.33

Membership cost at Gym A for a year = $10 x 12 = $120

Membership cost at Gym B for a year = $13.33 x 12 = $160

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what is the answer to 8x= - 44 ?

Answers

We need to solve the following equation for x:

[tex]8x=-44[/tex]

To isolate x, we divide both sides

5 Let A(-2,5) and B(5,0) be the endpoints of AB. What is the length of the segment?

Answers

The equation for finding the length between two points is:

[tex]l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).

We assign A to be point 1 and B be point 2

Therefore,

[tex]\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}[/tex]

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What is your decision regarding H0?multiple choiceDo not reject H0Reject H0 Purple hibiscusChapter 9Give at least 3 specific details from the first paragraph of this chapter about life at Aunty Ifeomas. f(x) =-x + 2x + 6Find f(-7) graduating from college and moving to a new city can create stress as well as provide an opportunity for growth. this type of stress is called group of answer choices strain distress eustress adaptive response Valentina opened a savings account and deposited 1,000.00 as principal the account earns 3%interest compounded monthly what is the balance after 8 years factor the equationx^2-17x+42 The two-way table represents the number of clubs that two hundred high school studentswere involved in.One Club Two clubsBoys 17Girls 28Total 45256893Three or more clubs Total50126292108200What is the probability that a student will be in two clubs only and a girl? La vaquita marina, que se encuentra solo en el golfo de California, se acerca con gran velocidad a la extincin. Se conoce su existencia solo desde 1958, cuando se encontraron tres crneos en una playa. Las vaquitas podran convertirse, efectivamente, en el segundo cetceo en perder el combate contra la accin humana, y en 2018 probablemente habrn desparecido.El gobierno mexicano cre una comisin para la conservacin de este animal en 2012, cuando los cientficos calcularon que su poblacin apenas alcanzaba los 200 ejemplares. En 2005 Mxico cre un refugio para las vaquitas, prohibiendo en l la pesca comercial, e invirti ms de 30 millones de dlares para compensar a los pescadores y promover el uso de otros mtodos de pesca. Adems, form un equipo cientfico internacional para estudiar su poblacin, los ritmos reproductivos y el hbitat de estos animales.Durante los ltimos tres aos, la pesca ilegal de totoaba, una especie de pez amenazado que puede llegar a medir casi dos metros de largo y pesar ms de 130 kilogramos, ha ido en aumento (La vejiga natatoria de las totoabas es muy preciada en China.). Desgraciadamente, las vaquitas, de tamao similar, viven en la misma zona del golfo.El equipo calcula que al da se extienden unos 700 kilmetros de redes legales durante la temporada de pesca (entre septiembre y junio), y eso sin contar las ilegales. Para los expertos, solo hay una solucin para salvar a las vaquitas: prohibir todo tipo de pesca con red en la regin. Reconocen que es una decisin difcil, porque perjudicara enormemente a los pescadores, pero si no se hace, las vaquitas terminarn por extinguirse.Segn la lectura, cul es el tema principal? El tema principal es ________. A. la necesidad urgente de salvar las vaquitas de la extincinB. la necesidad urgente de encontrar trabajo para los pescadoresC. la cantidad de dinero que Mxico ha invertido en proteger las vaquitasD. las similitudes entre los peces totoaba y las vaquitas A) A highway noise barrier is 120 m long is constructed in 2pieces. One piece is 45 m longer than the other one. Findthe length of each piece. B) If you are to construct arectangle with each of the sizes of the pieces being thelength and width then what is the perimeter? c) What would bethe area of that rectangle? (Note: Use an Equation to solve) Find the exact length of the arc intercepted by a central angle on a circle of radius . Then round to the nearest tenth of a unit. Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes. If she continues at the same rate, how many hours will it take for Selena to make 264 more pancakes? 4x - 2y = 5 if the range is {-5,-3,0,7} Which activities should startups perform before determining the price of their product or service? select all that apply. f(x) is concave down on the interval (a, b) if f'(x) is decreasing on (a, b).O TrueO False 12x=8x+1 what is the answer The adaptive advantage associated with the filamentous nature of fungal mycelia is primarily related to ________. What is the slope and y-intercept? Toms car has 11 1/9 gallons of gas. If he uses 38 of the gas, how much gas does the car have left?