The table below shows the details of three different river rafting adventures. Adventure Duration (in hours) Distance (\text{km})(km)left parenthesis, k, m, right parenthesis High Tide 111 333 Monsoon 222 555 Tsunami 4 Which river rafting adventure offers the lowest average speed? Choose 1 answer: Choose 1 answer: (Choice A) A High Tide (Choice B) B Monsoon (Choice C) C Tsunami

Answers

Answer 1

Answer:

Monsoon

Step-by-step explanation:

in High tide every 1 hour, you move 3 km that is faster then Monsoon which every 2 hours you move 5 km because if you multiply 1 by 2 you get 2 (hours) but if you multipy 3 by 2 yuo get 6 and 6 is more than 5. if you use this method one more time then to you will find that the answer is Monsoon.

Answer 2

The river rafting adventure that offers the lowest average speed would be the option Monsoon.

Explain Multiplication no sign?

We don't write symbols like currency generally and understand it from context.

Also, a sign of multiplication is often hidden if there are non-numeric symbols and numbers being multiplied are written together.

The table below shows the details of three different river rafting adventures.

Adventure Duration (in hours)

Distance (\text{km})(km)left parenthesis, k, m, right parenthesis

High Tide 111 333 Monsoon 222 555 Tsunami 4

In High tide every 1 hour, you move 3 km which is faster than Monsoon

Every 2 hours you move 5 km because 1 x 2 gives 2 (hours)

But 3 x 2 = 6 and 6 is more than 5.

Therefore, The answer is Monsoon.

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Related Questions

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?

Answers

Answer:

b² - 4ac = 0

Step-by-step explanation:

The nature of the roots of a quadratic equation are determined by the discriminant, that is

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

x = - 3 indicates an equal root, hence b² - 4ac = 0

How many solutions does the following equation have?
-6(x + 7) = -4.x - 2

Answers

Answer:

x=-20

Step-by-step explanation:

Given

-6(x+7)= -4x - 2

First of all, we have to solve brackets

So,

-6x-42=-4x-2

To find the solution of this equation, we have to isolate x on one side of the equation.

Adding 4x on both sides

-6x-42+4x = -2-4x+4x

-2x-42 = -2

Adding 42 on both sides

-2x-42+42 = -2+42

-2x=40

Dividing both sides by -2

-2x/2 = 40/-2

x = -20

The equation has only one solution which is x=-20 ..

enter the missing numbers in the boxes to complete the table of equivalent ratios

Time(min)
?
6
?
15

Distance(km)
6
18
24
?​

Answers

Answer:

The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.

2/1.5=1.3

9/1.5=6

18/1.5=12

Hope this helps!

Step-by-step explanation:

Please help I’m desperate for the answer

Answers

The domain is the input value of an equation/ graph, which is the X value.

The X value on a graph is the horizontal axis across the bottom.

The X-axis for this is the months, so the answer is The domain represents a 11-month period of flower production.

The measure of angle A is 15 degrees and the length of side BC is 8. What are the lengths of the other two sides, rounded to the nearest tenth?

Answers

Answer:

AB=30.9 AC=29.9

Step-by-step explanation:

Rest of the answer is in the picture.

Answer:

AC= 29.9

AB= 30.9

simplify ... 4xsquared x 4xsquared

Answers

Answer:

4X4=16

16X16=256

Step-by-step explanation:

Hi there! My name is Zalgo and I am here to provide you with your answer for today! So, 4x^2*4x^2 (4xSquared multiplied by 4xSquared) is quite simply. When you square a number, you are multiplying that number by itself (so, 4 times 4 equals 16). Once you have done that, you are left with 16 times 16. 16 multiplied by 16 is 256!

I hope that this answer helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! :3)

13.5 is 15% of what number?

Answers

Answer:

90

Step-by-step explanation:

13.5/.15

To solve this you must use a proportion like so...

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

15 is a percent and percent's are always taken out of the 100. This means that one proportion will have 15 as the part and 100 as the whole

We want to know out of what number is 13.5 15% of. This means 13.5 is the part and the unknown (let's make this x) is the whole.

[tex]\frac{13.5}{x} =\frac{15}{100}[/tex]

Now you must cross multiply

13.5*100 = 15*x

1350 = 15x

To isolate x divide 15 to both sides

1350/15 = 15x/15

90 = x

This means that 15% of 90 is 13.5

Hope this helped!

~Just a girl in love with Shawn Mendes

simplify the polynomial by combining like terms
[tex]11x {}^{2} + 11x {}^{2} [/tex]

A.
[tex] - 12x {}^{2} [/tex]
B.
[tex]12x {}^{2} [/tex]
C.
[tex] - 24x {}^{2} [/tex]
D.
[tex]24x {}^{2} [/tex]

Answers

Answer:

22 x^2

Step-by-step explanation:

Simplify the following:

11 x^2 + 11 x^2

Hint: | Add like terms in 11 x^2 + 11 x^2.

11 x^2 + 11 x^2 = 22 x^2:

Answer:  22 x^2

none of your answers are correct.

find the total area for the regular pyramid
(please follow the answer set up in the picture)

Answers

Answer:

T.A. = 144 + 36√3

Step-by-step explanation:

The pyramid has a regular triangle for a base.  The other three faces are isosceles triangles.

The height of base can be found by dividing it into two right triangles.  We can either use properties of a 30-60-90 triangle, or use Pythagorean theorem.

h = 6√3

So the area of the base is:

A = 1/2 bh

A = 1/2 (12)(6√3)

A = 36√3

Similarly, the height of the three isosceles triangles can be found by dividing them into two right triangles and using Pythagorean theorem.

h = √(10² - 6²)

h = 8

So the area of the isosceles triangles is:

A = 1/2 bh

A = 1/2 (12)(8)

A = 48

So the total surface area of the pyramid is:

T.A. = 3(48) + 36√3

T.A. = 144 + 36√3

the population of a city has increased by 15% since it was last measured. If the current population is 59.800, what was the previous population?​

Answers

Answer:

about 50 000 i think sorry if this didnt hep

Step-by-step explanation:

Final answer:

To calculate the previous population before a 15% increase that resulted in a current population of 59,800, we use the formula: Previous Population = Current Population / (1 + Percentage Increase), which yields a previous population of approximately 52,000.

Explanation:

The question pertains to determining what the previous population of a city was before it experienced an increase of 15%. Given that the current population is 59,800, we can calculate the previous population using the formula:

Current Population = Previous Population * (1 + Percentage Increase)

To find the Previous Population, we rearrange this formula:

Previous Population = Current Population / (1 + Percentage Increase)

By substituting in the given values:

Previous Population = 59,800 / (1 + 0.15)

Previous Population = 59,800 / 1.15

Previous Population = 52,000 (approximately)

Therefore, the previous population of the city was around 52,000 inhabitants before the 15% increase.

Which is f(5) for the function –2x2 + 2x - 3?

Answers

Answer:

f(x)=-13

Step-by-step explanation:

-2x2+2x-3

-2(5)*2+2(5)-3

-10*2+10-3

-20+7=-13

I hope this helps!

Answer:

The value of f(5) is -43

Step-by-step explanation:

[tex]f(x)=-2x^2 + 2x - 3[/tex]

To find f(5) we plug in 5 for x in the given equation f(x)

Replace all x by 5

[tex]f(x)=-2x^2 + 2x - 3[/tex]

[tex]f(5)=-2(5)^2 + 2(5) - 3[/tex]

[tex]f(5)=-2(25) + 10 - 3[/tex]

[tex]f(5)=-50+ 10- 3=-43[/tex]

The value of f(5) is -43

what is the similarity ratio for two circles with areas 2pi m^2 and 200pi m^2​

Answers

Answer:

The scale factor is equal to 10

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger circle

y ---> the area of the smaller circle

so

[tex]z^{2}=\frac{x}{y}[/tex]

we ahve

[tex]x=200\pi \ m^{2}[/tex]

[tex]y=2\pi \ m^{2}[/tex]

substitute

[tex]z^{2}=\frac{200\pi}{2\pi}[/tex]

[tex]z^{2}=100[/tex]

[tex]z=10[/tex]

therefore

The scale factor is equal to 10

The radius of the larger circle is 10 times greater than the ratio of the smaller circle

Which of the following is the coefficient in the algebraic expression 22y + z ?!

Answers

Answer:

22

Step-by-step explanation:

Answer:

22 is the coefficient.

Step-by-step explanation:

Because the coefficient is always beside the variable

For Ex: 10x

where x is your variable and 10 is your coefficient.

Hope my answer has helped you!

What is the slope of the graph? Leave your answer as a reduced fraction.

Slope =

Identify the y-intercept. Write as a coordinate.

y-intercept =

Write an equation in slope-intercept form for the graph above.

y=

Answers

Answer:

-¼ = Slope

[0, 2] = y-intercept

y = -¼x + 2

Step-by-step explanation:

Your y-intercept is [0, 2] and your x-intercept is [8, 0] (not all the time your x-intercepts will be endpoints)]. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then eight blocks over east, since in this case, you are moving by increments of 2. If you were to recreate this graph in increments of 1, you would see that the simplification of -2\8, is -¼. That is why the rate of change is -¼. Do you understand?

What is the slope and the y-intercept of the line on the graph below?

Answers

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

Answer: OPTION C

(c) slope = Negative one-fourth, y-intercept = 1

     slope = -1/4, y -intercept =1

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
Using the properties of integer exponents, match each expression with the correct equivalent expression.

Answers

Answer:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4} \implies 2^{-32}[/tex]

2. [tex]2^4 . (2^2)^{-2} \implies 1[/tex]

3. [tex](-2^{-4}).(2^2)^0 \implies -2^8[/tex]

4. [tex](2^2).(2^3)^{-3} \implies 2^{-5}[/tex]

Step-by-step explanation:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4}[/tex] :

[tex] = \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}[/tex]

2. [tex] 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } [/tex] :

[tex]= 2^4 \times \frac{1}{2^4} = 1[/tex]

3. [tex](-2^{-4}).(2^2)^0[/tex] :

[tex]= (-2^4)^2 \times 1 = -2^8[/tex]

4. [tex](2^2).(2^3)^{-3}[/tex] :

[tex]= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}[/tex]

Answer:

The answer is 1-2 2-4 3-4 and 4-3

Step-by-step explanation:

Which system below has no solution?

y = 4x and y = 2x - 3
y = -4x and y = 2x - 3
y = -4x and y = 2x + 3
y = -4-x and y = 2x - 3

it is multiple choice

Answers

Final answer:

The system of equations with y = -4x and y = 2x + 3 has no solution.

Explanation:

The system of equations with y = -4x and y = 2x + 3 has no solution. To determine this, we can set the two equations equal to each other and solve for x:

-4x = 2x + 3

Adding 4x to both sides, we get:

0 = 6x + 3

Subtracting 3 from both sides, we get:

-3 = 6x

Dividing both sides by 6, we get:

-1/2 = x

Substituting x = -1/2 back into either equation will result in a false statement, indicating that the system has no solution.

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Can someone give me the answer because I’m clueless

Answers

Answer:

D

Step-by-step explanation:

In year 0, we have 6.

In year 1, we have 6(4)

In year 2, we have 6(4)(4) or 6(4)^2

The 4 is the repeated factored

The answer is D

If Alessandra had 392,396 school books, what is the square root of half of her school books?

Answers

Answer:

Step-by-step explanation:

She likely has more books than the Library of Congress.

First of all you have to take 1/2 the number

(1/2) 392,396 = 196198

sqrt(196198) = 443 rounded to the nearest whole number.

Which best explains why this triangle is or is not a right triangle?

Answers

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras

If the square of the longest side equals the sum of the squares on the other 2 sides then the triangle is right.

longest side = 39

39² = 1521

36² + 15² = 1296 + 225 = 1521

The triangle is right since 36² + 15² = 39²

Answer:

This triangle is a right triangle:36² + 15² = 39².

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

[tex]a^2+b^2=c^2[/tex]

We have

[tex]a=15\ in,\ b=36\ in,\ c=39\ in[/tex]

Check the equality:

[tex]L_s=15^2+36^2=225+1296=1521[/tex]

[tex]R_s=39^2=1521[/tex]

[tex]L_s=R_s[/tex]

It's a right triangle.

4(10x+2)-40x
Each step of the equation

Answers

Answer:

8

Step-by-step explanation:

We cannot solve this, since this is an expression, not an equation.

Lets simplify the expression

4(10x+2)-40x

Distribute the 4

40x +8 - 40x

8

Answer:

[tex]\displaystyle =8[/tex]

Step-by-step explanation:

Distributive property:

       ↓

 A(B+C)=AB+AC

A=4,  B=10x, and C=2

[tex]4*10x+4*2[/tex]

Simplify.

[tex]40x+4*2[/tex]

[tex]4*2=8[/tex]

[tex]40x+8[/tex]

[tex]40x+8-40x[/tex]

Group like terms

[tex]40x-40x+8[/tex]

Add numbers from left to right.

[tex]40x-40x=0[/tex]

[tex]\displaystyle 8[/tex], is the correct answer.

Hope this helps!

a jeweler cut a rhinestone in the shape of a rhombus. If one of the angles of the rhinestone measures 130 degrees, what is the measure of the consecutive angle, x?

A. 180 degrees
B. 130 degrees
C. 50 degrees
D. 90 degrees

Answers

C. 50 I believe. Because it has to be equal to 180 making 2 different angles together to get 180. If that makes sense

The measure of the consecutive angle x is 50 degrees in the given rhinestone. The given angles are supplementary angles.

What are the properties of a rhombus?

A rhombus shape has also been named a diamond. Its properties are as follows:

A rhombus has 4 equal length of sides.Its opposite sides are parallel.The diagonals bisect each other at right angles.The opposite angle are equal in measure.The adjacent angles are supplementary to each other i.e., their sum is 180 degrees.The Sum of all the angles in the rhombus is 360 degrees

Calculating angle x:

The measure of one of the angles = 130 degrees

The angle x is supplementary to the given angle. So, their sum is 180 degrees. I.e.,

130 + x = 180

⇒ x = 180 -130

⇒ x = 50°

Thus, the measure of the angle x is 50°.

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What is the product of -2x^3 + x - 5 and x^3 - 3x - 4 ? Show your work.

Is the product of x^3 - 3x - 4 and -2x^3 + x - 5 equal to the product of and ? Explain your answer.

Answers

For this case we must find the product of the following expressions:

[tex](-2x ^ 3 + x-5) (x ^ 3-3x-4)[/tex]

We apply distributive property, that is, we multiply term by term, taking into account that:

[tex]- * - = +\\- * + = -[/tex]

[tex]-2x ^ {3 + 3} + 6x^{3 + 1} + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

If we multiply:

[tex](x ^ 3-3x-4) (- 2x ^ 3 + x-5)[/tex]

We will obtain the same result because we would be applying the commutative property of multiplication.

ANswer:

[tex]-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

Answer:

2x^6+7x^4+3x^3-3x^2+11x+20

Step-by-step explanation:

.................. yw!! for nyone still wondering

Kris has 4 yards of ribbon. it takes 2/3 yard to wrap one package. How many packages can Kris wrap?
A.Kris can wrap 5 packages
B.Kris can wrap 4 Packages
C.Kris can wrap 6 packages

Answers

Answer:

C. 6 packages

Step-by-step explanation:

4 divided by 2/3

=>4x3/2=6

mark me as the brainliest plz

Final answer:

Given 4 yards of ribbon and each package requires 2/3 yard, Kris can wrap 6 packages.

Explanation:

This question is about dividing total resources, in this case, ribbon, by the amount needed for each unit, in this case, a package. Kris has 4 yards of ribbon, and each package requires 2/3 yard of ribbon to wrap. To find out how many packages Kris can wrap, we need to do a division: total yards of ribbon ÷ yards of ribbon per package.

The equation for this would be: 4 ÷ 2/3. When we divide by a fraction, we multiply by its reciprocal. The reciprocal of 2/3 is 3/2, so we set up the equation like this: 4 x (3/2).

The answer to this equation is 6. Hence, Kris can wrap 6 packages with 4 yards of ribbon.

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What is the missing reason in the proof?

Prove –(–y – x) – x = y

–(–y – x) – x = –[–y +(–x)] – x
Definition of subtraction

–[–y +(–x)] – x = y + x – x
Opposite of a sum property

y + x – x = y + x + (–x)
Definition of subtraction

y + x + (–x) = y + [x + (–x)]
Associative property of addition

y + [x + (–x)] = y + 0
Additive inverse property

y + 0 = y
(blank)

Answer options for (blank):

A. Symmetric Property

B. Additive Inverse Property

C. Additive Identity Property

D. Opposite of a Sum Property

Answers

Answer:

Option C is correct.

Step-by-step explanation:

The last step is y+0 =y

This represents additive identity property.

This property states if zero is added to any number we get the same number.i.e if 0 is added to y then we get y (y+0=y)

So, Option C is correct

Final answer:

The missing reason in the proof that demonstrates –(–y – x) – x equals y is the Additive Identity Property, which indicates adding zero to a number does not change its value.

Explanation:

The question refers to a series of algebraic manipulations with the aim of proving the equation –(–y – x) – x = y. The final step in the proof involves the simplification of y + 0 to y. The correct reason for this step is the Additive Identity Property, which states that adding zero to any number does not change the value of that number. Therefore, the missing reason in the proof is option C.

NEED HELP ASAP!

What is the value of x?



x =

Answers

The Intersecting Secant Theorem says

EC × ED = EB × EA

(x+4)(x+4+1) = (x+1)(x+1+11)

(x+4)(x+5)=(x+1)(x+12)

x^2 + 9x + 20 = x^2 + 13 x + 12

8 = 4x

x = 2

Check:

6(7)=42

3(14)=42, good

Answer: 2

Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes

Answers

Answer:

0.6389

Step-by-step explanation:

This question is on a rectangle distribution

We apply; Area × probability

9× height = 1 unit square................find the height of the rectangle

h=1/9

The waiting time greater than 3.25  will be = 9-3.25= 5.75

P(time> 3.25 minutes) = 5.75 × 1/9 = 0.6389

A regular convex polygon has eight sides. What is the measure of an exterior angle?

Answers

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

Answer:

Exterior angle = 45°

Step-by-step explanation:

We know that the sum of exterior angles of a polygon is 360 degrees.

Since here we a regular polygon with eight sides (which makes it an octagon) so this means that the interior angles each would be equal to:

[tex]\frac{(n - 2) \times 180}{n} \\ \frac{(8 - 2) \times 180}{8}\\ \frac{6 \times 180}{8} \\ \frac{1080}{8} [/tex] = 135 degrees

We know that each interior angle is supplementary to the exterior angle at the vertex.

So each exterior angle = [tex]180-135[/tex] = 45 degrees

evaluate f(x)=-x^-4 for x=3

Answers

The answer would be -0.012345679.

The first thing you would do is substitute 3 in for x, seeing that you've told us x = 3. After you've substituted x, the equation would look something like:

f(3) = -3^-4. From here, all you have to do is solve! -3 to the power of -4 equals -0.012345679. Therefor, f(3) = -3^-4 equals -0.012345679

Answer:

- [tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{-n}[/tex] ⇔ [tex]\frac{1}{a^{n} }[/tex]

Hence

f(3) =- [tex]3^{-4}[/tex] = - [tex]\frac{1}{3^{4} }[/tex] = - [tex]\frac{1}{81}[/tex]

(20 Points)


Perform the indicated operations.

Answers

Answer:

5x-8/12y

Step-by-step explanation:

x+1

3y

+

x−2

4y

−(

x+3 /6y

=

30xy2−48y2

72y3

=

30x−48/72y

=

5x−8 /12y

Other Questions
Question 9 (5 points)The iron triad of transition metals includes____iron, zinc, and coppercobalt, iron, and nickelcopper, silver, and gold,zinc, cadmium, and mercury Find the volume of a cone with a diameter of 12 m and a height of 7 m Given: STU with Prove: Complete the steps of the proof. ?: angle STU is congruent to angle XYUtriangle STU is congruent to triangle XYUtriangle STU is similar to triangle XYU ?: substitution propertysubtraction propertytransitive property a restaurant offers a lunch special in which a customer can select from one of the 7 appetizers, one of the 10 entrees, and one of the 6 desserts. How many different lunch specials are possible? Which is the best example of imagery in sec.29 of "the invalid's story"?A. ...the original smell stood up out of it just as sublime as ever...and my, how rich it was!B. ...i didn't make these reflections there--there wasn't time...C. ...and breaking for the platform, thompson got suffocated and fell...SECTION 29When they got well started, I couldn't see, myself, how even the corpse could stand it. All that went before was just simply poetry to that smell,--but mind you, the original smell stood up out of it just as sublime as ever,--fact is, these other smells just seemed to give it a better hold; and my, how rich it was! I didn't make these reflections there--there wasn't time--made them on the platform. And breaking for the platform, Thompson got suffocated and fell; and before I got him dragged out, which I did by the collar, I was mighty near gone myself. When we revived, Thompson said dejectedly,--"We got to stay out here, Cap. We got to do it. They ain't no other way. The Governor wants to travel alone, and he's fixed so he can outvote us." Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.y < 8y 3 Which will form a composite function? The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle Who were experts in iron metallurgy?- the bantu- shiites- eastern orthodox christians- the polynesians How do you measure density Sec(pi/2)=csc x-true or false A fly has two alleles for the color of its eyes. the green allele is recessive and is represented by q. the blue allele is dominant and is represented by p. if 44 of 100 organisms are green, what is p? Use matrix operations and substitution to determine which of the following numerical values for z can be substituted into the second equation to solve for y?2x + y - z = -82y + 3z = -6-1/2x + y + z = -4A. z = -9/8B. z = 2C. z = -9/4D. z = 1 The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of the lighthouse, from the height of the lighthouse. Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change The ____ocean and the ____ ocean surround Europe need help with the correct answer Do Xuan nam isgoing to invest $1000 at a simple interest rate of 4% how long will it take for the investment to be worth $1040? what is the factor of 144-49x"2 Read the following excerpt from "The City Without Us" by Alan Weisman:Yet with each new acid-free rainfall, trees that still endurewill have fewer contaminants to resist as chemicals aregradually flushed from the system. Over centuries,vegetation will take up decreasing levels of heavy metals,and will recycle, redeposit, and dilute them further. Asplants die, decay, and lay down more soil cover, theindustrial toxins will be buried deeper, and eachsucceeding crop of native seedlings will do better.Which best explains how the structure of this passage supports the author's purpose?A. The passage traces several events in the order that they will occur tohighlight how people have harmed the environment.B. The passage describes the effects of rain in the posthuman world tohighlight that nature will eventually neutralize the pollution created bypeople.C. The passage shows the effects of rain on certain plants to prove that lawsprotecting the environment are necessary for human survival.D. The passage compares the acidity of rain before and during a posthumanworld to underscore that pollution levels will remain the same.