Plsss helppppp I neeed this

Plsss Helppppp I Neeed This

Answers

Answer 1

Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.

How to find the bisector of ST?

In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

For exercise 1, we have:

ST = SM + MT

ST = 19 + 19

ST = 38.

For exercise 2, we have:

First of all, we would determine the value of x as follows;

3x - 6 = x + 8

3x - x = 8 + 6

2x = 14

x = 14/2

x = 7.

ST = SM + MT

ST = 3x - 6 + x + 8

ST = 3(7) - 6 + 7 + 8

ST = 30.

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Related Questions

question below


What matrix is the result of m*H?


Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.

Answers

Answer:

[tex]m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right][/tex]

Step-by-step explanation:

Calculate the value of m

Given:

[tex]3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right][/tex]

Therefore:

[tex]\implies 3=\dfrac{2}{3}m[/tex]

[tex]\implies m=3 \times \dfrac{3}{2}[/tex]

[tex]\implies m=\dfrac{9}{2}[/tex]

Calculate the value of H

Given:

[tex]\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)[/tex]

Therefore:

[tex]\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]

Calculating m × H

[tex]\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]

[tex]\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right][/tex]

[tex]\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right][/tex]

3. Adjacent sides of a rectangle are in the ratio 5:12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal. 3. Adjacent sides of a rectangle are in the ratio 5:12 , if the perimeter of the rectangle is 34 cm , find the length of the diagonal.​

Answers

Answer:

Adjacent sides are in the ratio 5 : 12

That means,

Let length = 12x and breadth = 5x

Perimeter = 34

2(l+b) = 34

12x + 5x = 17

17x = 17

x = 1

Lenth =12 cm

Breadth = 5 cm

By Pythagorean theorem

The length of the diagonal of rectangle = 13 cm

Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3 create a dot plot that represents the data.

Answers

The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.

Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.

We have to create dot plot of the data given in the question.

Firstly we have to give a code to each value which represents friend of Tricia.

A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.

After giving codes the table will look like:

Friend                       Number of pets

1                                      0

2                                      3

3                                      2

4                                      4

5                                      1

6                                      0

7                                      0

8                                      3

9                                      2

10                                    1

11                                    2

12                                    1

13                                    1

14                                    3

15                                    4

16                                    2

17                                    0

18                                    0

19                                    1

20                                    1

21                                    1

22                                    0

23                                    3

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-19+[27-(14+(5-2)×4÷2))]
simplify ​

Answers

Answer:

-12

Step-by-step explanation:

What is the polynomial? Quick I need answer

Answers

Answer:

An algebraic expression containing two or more terms is called a polynomial

Answer:

Its C

Step-by-step explanation:

it worked finally

Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were $96, and the fixed costs were $574,800. management expects per unit data and total fixed costs to remain the same in 2022. the president of cullumber company is under pressure from stockholders to increase net income by $106,400 in 2022.

Answers

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit  sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

Refer to the attachment for the required questions.

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after this i will only have 4 questions please and ty!

Answers

Answer:D

Step-by-step explanation:

this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied

pls help!! determine the period! thx

Answers

Answer:

T=5

Step-by-step explanation:

A shoe making company makes 256 pairs of boots in a day how many pairs of boots do they make in 260 days​

Answers

Answer:

66560 pairs

Step-by-step explanation:

let the number of pairs of boots the company makes in 260 days = X

1day -----------------256pairs

260days-------------X

cross multiplying

1×X = 260×256

X= 66560

therefore, in 260days, he makes 66560 pairs

3x[tex]3x^{2} +8x-10[/tex]

Answers

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

Solving quadratic equations.

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

3x² + 8x - 10

Using the quadratic formula:

[tex]\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

where:

a = 3b = + 8c = - 10

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}[/tex]

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}[/tex]

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}[/tex]

x = 0.927 or -3.594

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write a function rule for the table

hours worked 2,4,6,8 and pay 15,30,45,60

Answers

Answer:

f(x) = 7.5x

Step-by-step explanation:

you can find the slope by using the slope formula (y2-y1)/(x2-x1). you can use any of the values but for this example I'll be using (2, 15) and (4, 30).

(30-15)/(4-2) = 15/2 = 7.5.

now we can use one of the coordinates to find the y-intercept by plugging the known values in the equation y=mx+b where m is the slope and b is the y-intercept.

for this example I'll be using (2, 15) but you could use any of the values you gave.

15 = 7.5(2) + b

15 = 15 + b

0 = b

so now we have the function rule

f(x) = 7.5x + 0 or just f(x) = 7.5x

Pam’s eye-level height is 324 ft above sea level, and adam’s eye-level height is 400 ft above sea level. how much farther can adam see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet.

Answers

Adam can see the horizon at a distance of [tex]\sqrt{6}mi.[/tex]

Given that the height of Pam's eye level above sea level is [tex]324ft[/tex] and the height of adam's eye level above sea level is [tex]400ft[/tex].

The formula used to find the distance they see in miles is [tex]d=\sqrt{\frac{3h}{2}}[/tex].

Let the height of Pam's is [tex]h[/tex] and the height of adam's is [tex]h'[/tex].

The distance of Pam from the horizon can be given as [tex]d=\sqrt{\frac{3h}{2}}[/tex].

Substitute these values,

[tex]\begin{aligned}d&=\sqrt{3\times \frac{324}{2}}\\ d&=\sqrt{486}\\ d&=\sqrt{81\times 6}\\ d&=9\sqrt{6}\end[/tex]

And the distance of adam from the horizon can be given as [tex]d=\sqrt{\frac{3h'}{2}}[/tex].

Substitute these values,

[tex]d'=\sqrt{3\times \frac{400}{2}}\\ d'=\sqrt{600}\\ d'=\sqrt{100\times 6}\\ d'&=10\sqrt{6}[/tex]

The net distance of adam from the horizon is

[tex]\begin{aligned}d_{\text{net distance}}&=d'-d\\ &=10\sqrt{6}-9\sqrt{6}\\&=\sqrt{6}\end[/tex]

Hence, the adam can see the horizon at a distance of [tex]\sqrt{6}mi[/tex].

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Answer:

B

Step-by-step explanation:

it said sooo

I dare u to solve this!​

Answers

Answer:

? = 26

Step-by-step explanation:

Challenge accepted!

For the bottom left corner:

[tex]10^{2} + 6^{2} \\= 100 + 36\\= 136[/tex]

Now, 10 - 6 = 4

136 / 4 = 34

For the top left corner:

[tex]7^{2} + 5^{2} \\= 49 + 25\\= 74[/tex]

Now, 7 - 5 = 2

74 / 2 = 37

For the top right corner:

[tex]8^{2} + 4^{2} \\= 64 + 16\\= 80[/tex]

Now, 8 - 4 = 4

80 / 4 = 20

For the bottom right corner:

[tex]6^{2} + 4^{2} \\= 36 + 16\\= 52[/tex]

Now, 6 - 4 = 2

52 / 2 = 26

Another method:

5×6+7=37

7×6-5=37

6×4+10=34

10×4-6=34

4×3+8=20

8×3-4=20

So, 4×5+6=26

6×5-4=26

Firstly we have to multiply number with smaller number from the both number, then, multiply that constant number with larger number and then subtract smaller number you will get same number, in this with 4 only 5 constant number following this rule 4×5+6=26, 6×5-4=26, if you multiply 4 with 6, then, 4×6+6=30, 6×6-4=32, and with 7, 4×7+6=34, 6×7-4=38. So, 26 is the right answer of this question

You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3

Answers

Answer: same slope, y int are different

Step-by-step explanation:

Both these lines never intersect because they have the same slope.

they both go down 1 over 1, and also their y interecepts are different

Drop the class bro no cap cus I don’t know any of this and you don’t either my bad my boy

What is the best name for the part of the figure
identified by the arrow?
O line of reflection
O line of symmetry
O plane of reflection
O axis of symmetry

Answers

The best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have given a three-dimensional figure.

As we can see the arrow is pointing at the plane.

A triangular prism is reflected over the given plane and creates a mirror image of a triangular prism.

A plane is a plane of symmetry.

Thus, the best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.

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Which set of equations has 3, 1 as its solution

Answers

Answer:

D.) A and D

Step-by-step explanation:

To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.

First, look for x = 3. This is the number located on the x-axis (horizontal line).

From this spot, since y = 1, move up 1 unit.

At this point, two lines intersect. These lines are lines A and D.

Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?

Answers

60 forks 60÷3=$20

60 spoons 60÷4=$15

$20+$15=$35 total spent for forks and spoons

Total spent is 35 dollars

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6
4
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10 8 64-2
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ctrich ar Of EICS
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2 4 6 8 10
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Ta OnciC
A circle centered at the origin contains the point
(0, -9). Does (8, √17) also lie on the circle? Explain.
O No, the distance from the center to the point
(8, √17) is not the same as the radius.
O No, the radius of 10 units is different from the
distance from the center to the point
(8, √17).
O Yes, the distance from the origin to the point
(8, √17) is 9 units.
O Yes, the distance from the point (0, -9) to the point
(8, √17) is 9 units.

Answers

Approximate value of √17

~4+

So the point is (8,4)

As we can see in graph the point is contained by the circle

Hence the distance

√(0-8)²+(9-4)²√8²+5²√89

Approximately 9 units

Option D

Answer:

Yes, the distance from the origin to the point (8, √17) is 9 units

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

(a, b) is the centerr is the radius

Given:

center = (0, 0)r = 9

Substitute the given values into the formula to create the equation of the circle:

[tex]\implies (x-0)^2+(y-0)^2=9^2[/tex]

[tex]\implies x^2+y^2=81[/tex]

To find if point [tex]\sf (8, \sqrt{17})[/tex] lies on the circle, substitute x = 8 into the found equation and solve for y:

[tex]\implies 8^2+y^2=81[/tex]

[tex]\implies 64+y^2=81[/tex]

[tex]\implies y^2=81-64[/tex]

[tex]\implies y^2=17[/tex]

[tex]\implies y=\sqrt{17}[/tex]

As y = √17  when x = 8, this proves that point (8, √17) lies on the circle.

The distance from the origin to any point on the circle is the radius.

Therefore, as the radius is 9 units, the distance from the origin to the point (8, √17) is 9 units.

The probabilities that Sani, Kolo and Tato will hit a target are 3/4, 2/3 and 7/3 respectively If all three men shot once what is the probability that target will be hit only once​

Answers

Step-by-step explanation:

get the lcm of the numerals and the denominators then simplify

hope it is correct

Given lJK , which is an isosceles right triangle, IJ=4 and m

Answers

As IJK is isosceles

IJ=JK

Hypotenuse must not counted counted among equal sides so

IK²=2(LJ)²

Apply roots

IK=LJ√2

Option C

Question 1
swere
>
Find the equation for the line that passes through (2, 8) that has slope 4. Give your answer in point-slope
form. You do not need to simplify.

Answers

Answer:

The point-slope form is y - 8 = 4(x - 2)

Step-by-step explanation:

Given:

slope = 4passes through (2, 8)

the point-slope form is y - y1 = m(x - x1)

(x1, y1) is a known pointm is the slope of the line(x, y) is any other point on the line

Hence the point-slope form is y - 8 = 4(x - 2)

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5.7x10^6 as an ordinary number​

Answers

Answer:

5700000

Step-by-step explanation:

. put these numbers in order, from least to greatest. if you get stuck, consider using a number line. 3.5 -1 4.8 -1.5 -0.5 -4.2 0.5 -2.1 -3.5 2. write two numbers that are opposites and each more than 6 units away from 0.

Answers

-4.2, -3.5,-2.1,-1.5,-1,-0.5,0.5,2,3.5,4.8

Dude this should be so easy but this is going in one ear and out the other how do I do this send help ​

Answers

Answer:

0.5 hours

Explanation:

Given:

speed: 17 miles/hourdistance: 8 miles

Formula:

time taken = distance ÷ speed

Solve:

time taken = 8 ÷ 17 = 0.4706 ≈ 0.5 hours  (rounded to nearest tenth)

Please please help what is equivalent to this??

Answers

The correct option is Option A: [tex]16^{3x/4}[/tex] is equivalent to the expression  [tex](\sqrt[4]{16})^{3x[/tex].

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

here the given expression is [tex]16^{3x/4}[/tex]

we can rewrite the expression as

[tex]16^{3x/4}[/tex]

as we know by the rule of the exponent that    [tex](a^b)^c=a^{bc}[/tex]

=[tex](16^{1/4})^{3x[/tex]

as we know by the rule of the exponent  [tex]\sqrt[n]{a}=a^{1/n[/tex]

=[tex](\sqrt[4]{16})^{3x[/tex]

Therefore the correct option is Option A: [tex](\sqrt[4]{16})^{3x[/tex]

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Select the correct answer.
What is the solution for x in the equation?
9-10x=2x+1-8x
OA.
O B.
O C.
O D.
x = 2
x = -2
X =
x
= -1
||
12
112

Answers

[tex]9-10x=2x+1-8x\\\\9-10x=-6x+1\\\\9=4x+1\\\\8=4x\\ \\ x=\boxed{2}[/tex]

The value of the x in the equation 9 - 10x = 2x + 1 - 8x is 2. The correct answer is A) x = 2.

An equation is a combination of numbers, variables, functions, and often symbols arranged in a peculiar order. The equation comprises two or more expressions distinguished by the equality sign(=). The equations are solved to estimate the values of variables.

The given equation is

9 - 10x = 2x + 1 - 8x

-10x - 2x + 8x = 1 - 9

-4x = -8

4x = 8

x = [tex]\frac{8}{4}[/tex]

x = 2.

Thus, the correct option is A) x = 2.

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Solve x/3 = x+2/2. X=

Answers

Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)."  Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2   [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2  YES

if three hard drives are using 132 5/8 watts, what is the number of watts used per hard drive?

1. 44 7/24 watts

2. 42 5/24 watts

3. 42 7/24 watts

4. 44 5/24 watts

whoever answers correctly i will give brainliest.​

Answers

132/3 = 44

5/8 / 3 = 5/8 x 1/3 =5/24


answer: 4. 44 5/24 watts

Answer:

[tex]\sf 4. \quad 44\frac{5}{24}\:\:watts[/tex]

Step-by-step explanation:

Given information:

3 hard drives are using 132 5/8 watts

To find the number of watts used per hard drive, divide the total amount of watts by 3.

Convert the mixed number into an improper fraction:

[tex]=\sf 132 \frac{5}{8}[/tex]

[tex]\sf =\dfrac{132 \times 8+5}{8}[/tex]

[tex]\sf =\dfrac{1061}{8}[/tex]

Divide by 3:

[tex]=\sf \dfrac{1061}{8} \div 3[/tex]

[tex]\sf =\dfrac{1061}{8} \times \dfrac{1}{3}[/tex]

[tex]\sf =\dfrac{1061 \times 1}{8 \times 3}[/tex]

[tex]\sf =\dfrac{1061}{24}[/tex]

Convert back into a mixed number:

[tex]\sf =\dfrac{1061}{24}[/tex]

[tex]\sf =\dfrac{1056+5}{24}[/tex]

[tex]\sf =\dfrac{1056}{24}+\dfrac{5}{24}[/tex]

[tex]= \sf 44\frac{5}{24}[/tex]

Therefore, the number of watts used per hard drive is [tex]\sf 44\frac{5}{24}[/tex] watts.

Today’s weather map shows the jet stream flowing west to east toward Washington, D.C., at a speed of 70 knots. If the ground speed needs to be 450 knots to make it from Washington to Kansas City on time, what does the plane’s speed need to be?

Answers

Considering the direction of the wind, it is found that the plane's speed needs to be of 520 knots.

What is the ground speed?

The ground speed, considering that the wind is flowing from Kansas City to Washington, and the trip is Washington to Kansas City, is given by:

G = Plane speed - Wind speed.

Hence:

450 knows = Plane speed - 70 knots.

Plane speed = 520 knots.

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Which expression is equivalent to (3^2) ^-2

Answers

[tex](3^{2} )[/tex]^-2=(9)^-2=1/9^2=1/81

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PLEASE HELP!!! Q: How does war and conflict affect individuals and societys in unbroken chapter 7 ? given the following pyramid identify the L, P, and B then find the surface area Solve for u. -5/6u = 15 Odysseus and Achilles hesitated to show their __________ in the proposed war.a. loyaltyb. daringc. leadership Newton's second law of motion states that Choose one: A. the force of gravity is proportional to the masses of the two objects and the inverse of the square of the distance. B. the acceleration of an object is proportional to the net force acting on it. C. objects have inertia. D. every action has an equal and opposite reaction. Which statement describes the work of Aristotle and Linnaeus?Aristotles classification system had many levels, while Linnaeuss classification system only had two levels.Aristotles and Linnaeuss classification systems both divided all life into two groups: plant and animal.Linnaeus proved that many organisms, which were classified as plants by Aristotle, were animals.Aristotle and Linnaeus worked side by side examining organisms on many trips. In this excerpt, Schlosser claims that fast food restaurants are Misplacing your cell phone and waiting in long lines to register for classes are examples of help fr . D: D: D: D: Which statement best represents how an organism maintains homeostasis?A)Offspring inherit traits from their parents.B)Desert pack rats are active at night to conserve water.C)Female barn swallows mate with long-tailed males.D)Young eagles have different kinds of feathers than adult hawks. there are 1,500 pupils in school , 0.6 are boys how many pupils are girls A year has 365 day and a day has 24 hours. if an hour has 60 minutes and a minute has 60 seconds how many seconds are in a year pls help answer ASAP Use pseudocode to write a function or procedure that will find the maximum of three numbers a, b, and c. 10. The cheetah is the fastest land animal subjects and predicates The cash price of a mobile phone is $540. Andrea bought the mobile phone by paying $42 monthly instalments over 15 months. Find the flat rate interest of the instalments, give your answer correct to 3 significant figures. Prove Triangle ABC is congruent to Triangle CDA. Jeremy has difficulty recognizing that a sibling is scared or angry. Jeremy's difficulty would be especially common for those with Mr. T has 784 marbles. he has 263 marbles more than Indie. how many marbles do they have altogether? Which best describes the authors viewpoint in this passage from an earlier chapter of The Dark Game?The author is suggesting that the telegram sparked the US decision to go to war.The author believes the telegram added to the strength of US troops. The author claims that the telegram had no effect on the course of events.