Find the lateral surface area

Find The Lateral Surface Area

Answers

Answer 1

The lateral surface area of given square pyramid is 120 cm².

In the given square pyramid:

lateral height = l = 10mm

With = 6mm

Length =  6 mm

A square pyramid's lateral area is defined as the area covered by its slant of lateral faces.

A pyramid is a three-dimensional object with any polygon as its base and any congruent triangles as its side faces.

Each of these triangles has one side that corresponds to one side of the basic polygon.

Pyramids are called by the shape of their bases. A square pyramid is a pyramid with a square base.

The formula for the lateral surface area of a square pyramid is

L = (Perimeter of base) x (slant height) / 2

Perimeter of base = 6x4

                              = 24 cm

Now put the values into formula;

L = 24 x 10 / 2

  = 120 cm²

The lateral surface area = 120 cm².

To learn more about area of pyramid visit:

https://brainly.com/question/29293530

#SPJ1


Related Questions

Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x-5) and (x-6)?


A. -5 and 6

B. 5 and 6

C. 5 and -6

D. -5 and -6

Answers

If the factors of the polynomial were (x-5) and (x-6), the values of x that would make the polynomial equal to zero would be 5 and 6.

5 - 5 = 0

6 - 6 = 0

Assuming the polynomial is (x-5)(x-6), if one factor is 0 then anything multiplied by 0 is still 0.

Hope this helps!

The revenue earned from tourists in Florida was:
2018 – $4 381 million
2019 – $3 607 million
What is the percentage decrease in revenue from tourists to Florida?
Select one answer
A) 17.67%
B) 21.46%
C) 82.33%
D) 121.46%

Answers

Answer: A) 17.67%
Please see my attached photo for the formula.

What is the degree of the polynomial? 5x² + 8x³ + 4- 6x² - 3x5​

Answers

Answer:

The degree of polynomial is 5.

Step-by-step explanation:

I suppose the polynomial is [tex]\displaystyle{5x^2+8x^3+4-6x^2-3x^5}[/tex]. To find the which degree this polynomial is, we consider the highest exponent of the term which is [tex]\displaystyle{3x^5}[/tex], the 5 is our highest degree of the term and thus, 5 is our highest degree of polynomial.

Answer:

5

Step-by-step explanation:

I'm assuming that the 5 in "3x5​" is supposed to be a exponent. The degree of the polynomial is the greatest of the exponents (powers) of its various terms.

Solve each of the following equations show the solution on a number line check your answers 5-|n-1|=-2

Answers

The solution of  equation 5-|n-1|=-2.

                                                                  n=8

                                                                  n=-6

What is a number line?

A number line is a horizontal line with evenly spaced number increments. The numbers on the line will determine how the number on the line can be answered.

The numbers on the number line increase as one moves from left to right and decrease as one moves from right to left.

Solution for the above equation 5-|n-1|=-2

What is the modulus?

A modulus function is a function that returns the absolute value of a number or variable. It yields the magnitude of the number of variables. It is also known as an absolute value function. This function's output is always positive, regardless of the input.

Open modulus with a positive sign.

                 5-|n-1|=-2

                -|n-1|=-2-5

                 n+1= 7

                 n= 8

Open modulus with a  negative sign.

                5-|n-1|=-2

                -|n-1|=-2-5

                 n-1= -7

                 n= -6

To know more about the  number line visit:

https://brainly.com/question/12801963

#SPJ4

Activity in this activity, you will first find the squares of positive and negative numbers. then you will determine whether the solution to an equation is a perfect square. question 1 part a complete the table by squaring each positive x-value listed.

Answers

The complete table is shown below.

What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. The square root of, the end square root is the symbol for the square root. Finding an integer's square root is the inverse of squaring a number.

Complete the table as follows:

[tex]2^{2} = 2*2 = 4\\3^{2} = 3*3 = 9\\4^{2} = 4*4 = 16\\5^{2} = 5*5=25\\6^{2} =6*6=36\\7^{2} =7*7=49\\8^{2} =8*8=64\\9^{2} =9*9=81\\10^{2} =10*10=100\\11^{2} =11*11=121[/tex]

Therefore, the complete table has been shown.

Know more about square root here:

https://brainly.com/question/428672

#SPJ4

The question you are looking for is here:

Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11.

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.
Which linear inequality is represented by the graph?

y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1

Answers

The graphed inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

Which linear inequality is represented by the graph?

We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:

y  ≥ line.

Now we need to get the linear equation.

It is of the form;

y = a*x + b

Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.

And knowing that the line passes through (0, -1) and (3, 0), the slope is:

[tex]a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}[/tex]

Then the inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

Select the correct expressions.
A ladder that is 25 feet long is leaning against a pillar. The vertical height from the base of the pillar to the top of the ladder is 24 feet. Which
expressions represent the angle, 8, that the bottom of the ladder makes with the ground?
(answer options shown below)

Answers

Answer:

sin-1 (24/25).

Step-by-step explanation:

We are given the opposite side  to the given angle (24 ft) and the hypotenuse (25 ft) .

sin = opposite / hypotenuse

- so it is  sin-1 (24/25).

Which rule describes the composition of transformations that maps δbcd to δb"c"d"? translation of 5 units x, negative 6 units y composition reflection across y = negative x reflection across y = negative x composition translation of 5 units x, negative 6 units y. translation of 6 units x, negative 5 units y composition reflection across the y-axis reflection across the y-axis composition translation of 6 units x, negative 5 units y

Answers

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

  (x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

  if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

  magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

  by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

 and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more about reflection here brainly.com/question/11203617

#SPJ1

The composition of transformations that maps BCD to B"C"D" is described by the following rule:

Composition translation of 6 units x, negative 5 units y across the y-axis last response

Let us rewrite the y-axis reflection, horizontal translation, and vertical translation.

1. If point (x, y) is mirrored across the y-axis, the image of that point is (-x , y)

2. If point (x, y) is translated h units to the right, its image is (x + h, y), and if it is translated h units to the left, its image is (x + h, y) (x - h , y)

3. If point (x, y) is translated k units up, its image is (x, y + k), but if it is translated k units down, its image is (x , y - k)

∵ Triangle BCD has (1, 4) vertices, (1, 2) vertices, and (5, 3) vertices. Triangle B'C'D' has (-1, 4) vertices, (1, 2) vertices, and (5, 3) vertices. The x-coordinates of the B'C'D' vertices have the same magnitude as the x-coordinates of BCD and opposite signs. B'C'D' is the picture of ABC after it has been reflected across the y-axis.

The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3), (1, -2)

The vertices of triangle B"C"D" are (5, -1), (5, -3), (1, -2)

The x-coordinates of the triangle B'C'D' vertices are added by 6.

The image of 4 is -1, the image of 2 is -3, and the image of 3 is -2.

The y-coordinates of triangle B'C'D' vertices are subtracted by 5.

∴ Δ B"C"D" is the image of Δ B'C'D' by translating 6 units to the right

and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more about reflection here:

brainly.com/question/11203617

#SPJ1

Kira exercises no less than 40 minutes per day. Use t to represent Kira's amount of exercise (in minutes per day).

Answers

Kira's time exercising every day can be represented as t  ≥ 40 because she exercises for 40 minutes or more.

How can this situation be represented?

This situation can be represented with an inequality. An inequality is an expression that is used to represent variables. This type of expression uses symbols such as >, < or ≥ to represent different variable values.

What inequality is represented in this situation?

The expression is: t ≥ 40

The inequality represented in this situation implies that Kira exercises is equal or more time than 40 minutes every day.

Learn more about time in: brainly.com/question/26941752

#SPJ1

Approximately ___% of a district’s students that are eligible for free and reduced meals are homeless at any given time.

Answers

Percentages are used to show the fraction of a thing. For example, if 5 students out of 20 like math, the percentage is 5/20 x 100= 25%

What is a Percentage?

This refers to the number of ratios that is described as a fraction of 100 and is denoted by the sign %.

Hence, we can see that although your question is incomplete, I gave you a general overview of percentages for a better understanding of the concept.

Read more about percentages here:

https://brainly.com/question/16865197

#SPJ1

What's the explicit rule for the sequence 3, -6, 12, -24, 48, ...?

Answers

Answer:

[tex]a_{n}[/tex] = 3 [tex](-2)^{n-1}[/tex]

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

- 6 ÷ 3 = 12 ÷ - 6 = - 24 ÷ 12 = 48 ÷ - 24 = - 2

this indicates the sequence is arithmetic with explicit rule

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = - 2 , then

[tex]a_{n}[/tex] = 3 [tex](-2)^{n-1}[/tex]

Answer:

[tex]\sf \dfrac{-3}{2}(-2)^n[/tex]

Step-by-step explanation:

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

  [tex]\sf \boxed{\bf t_n = ar^{n-1}}[/tex]

a is the first term.

r is the common ratio.

r = second term ÷ first term.

   3 , - 6 , 12, - 24, 48 ,........

a = 3

r = -6 ÷ 3 = -2

         [tex]\sf t_n = 3*(-2)^{(n-1)}\\\\[/tex]

             [tex]\sf = 3*(-2)^{n}*(-2)^{-1}\\\\ =3*(-2)^n*\dfrac{-1}{2}\\\\= \dfrac{-3}{2}(-2)^n[/tex]

Check:

[tex]\sf t_1 =\dfrac{-3}{2}*(-2)^1=\dfrac{-3}{2}*(-2) = 3\\\\\\t-2 = \dfrac{-3}{2}*(-2)^2 = \dfrac{-3}{2}*4=-6\\\\\\t_3=\dfrac{-3}{2}*(-2)^3=\dfrac{-3}{2}*(-8)=12[/tex]

What is the height, x, of the equilateral triangle shown?
60°
60°
10 in.
60°
O A. 5in.
O B.
OC. 10in.
OD. 10√3in.
5√/3in.

Answers

Answer:

B

Step-by-step explanation:

Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.

By the Pythagorean theorem, it follows that the answer is B.

Which of the following represents the divisor and the dividend for the
synthetic division problem below?
-1)29 7
OA. x+1 and 2x² +9x+7
OB. x+1 and -2*² -9x-7
OC. x-1 and 2x² +9x +7
OD. x-1 and -2*² -9x-7

Answers

The dividend is [tex]2x^2+9x+7[/tex] while the divisor is x + 1

Option A is correct

Division of polynomial using synthetic division

The coefficient outside the division block is -1.

This means that the divisor = x + 1

Also, the coefficients of the dividend are:

2, 9, 7

The highest exponent is 2 since there are three terms in the polynomial. Three terms show that the expression is a quadratic expression

Therefore, the dividend is [tex]2x^2+9x+7[/tex]

Learn more on synthetic division of polynomial here: https://brainly.com/question/24662212

#SPJ1

What is the y-value of point A? On a coordinate plane, point A is 6 units to the right and 1 unit up.

Answers

Answer:

1

Step-by-step explanation:

Points on a coordinate plane are written as (x,y) coordinates. The vertical axis is the y axis. If your point is "one unit up" its y-value is 1. (The horizontal axis is the x-axis. The x-value is 6.)


Which measure represents the standard deviation of the sample means and is used in place of the population standard deviation when
the population parameters are unknown?


Answers

The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.

Which measure is used when the population parameters are unknown?

A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.

Read more on t-test;

https://brainly.com/question/6501190

#SPJ1

Answer:

standard error of the mean

Step-by-step explanation:

Plato/Edmentum

What is the simplified form of startroot startfraction 48 over 192 endfraction endroot?

Answers

By the use of factor decomposition and algebra properties, we conclude that the rational number 48/192 is equal to the rational number 1/4.

How to simplify rational numbers

In this question we should simplify a rational number into its simplest form based on two facts. First, that all natural numbers except 1 and the prime numbers are products of prime numbers and, second, the simplification of the fraction can be done by using the following algebra property:

(a · c)/(b · c) = a/b, where a, b, c are natural numbers.     (1)

Along with power properties.

Now we proceed to simplify the rational number:

48/192 = (2⁴ × 3) / (2⁶ × 3)

48/192 = 1 / 2²

48/192 = 1 / 4

By the use of factor decomposition and algebra properties, we conclude that the rational number 48/192 is equal to the rational number 1/4.

To learn more on fractions: https://brainly.com/question/10354322

#SPJ1

Answer:

4

Step-by-step explanation:

PLEASE HELP ME! FAST

Answers

The quadrants in which all the coordinates given are located is; As explained below.

How to Identify Quadrants in coordinates?

1) (2, 4) is located in Quadrant I where both x and y-values are positive.

2) (0, -3) is located in Quadrant II where x - values are positive but y-values are negative.

3) (-1, 1/2) is located in Quadrant IV.

4) (-2 1/2, -7) is located in Quadrant III where x and y values are both negative.

5) (0, 6) is located in Quadrant I where both x and y-values are positive.

6) (-5, 0) is located in Quadrant IV where x is negative but y is positive.

Read more about Quadrant Coordinates at; https://brainly.com/question/863849

#SPJ1

Question 1 of 21
Which of the following steps would you perform to the system of equations
below so that the equations have equal x-coefficients?
4x+2y = 4
12x+y = 22
O A. Divide both sides of the top equation by 3
B. Multiply both sides of the top equation by 3
C. Multiply both sides of the bottom equation by 3
OD. Divide both sides of the bottom equation by 2

Answers

The answer of this is 6 flags at 8 are rousters that are very loud x+6 description chicken x-9 plus a side of gravy and cheese x-9 x+6 d

A​ _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.

Answers

A conditional probability of an event tells us that the event has already occured.

Given a _______ probability of an event is a ............. other event has already occurred.

We have to fill the blank with appropriate term or word associated with probability.

The right term is conditional.

Conditional probability of an event is a probability obtained with knowledge that some other event has already occured.

It is denoted as P(A I B).

It satisfies the following equation:

P(AIB)=P(A and B ) / P(B)

where P( A and B) is the probability of A and B together.

Hence conditional probability of an event is obtained with knowledge that some other event has already occured.

Learn more about conditional probability at https://brainly.com/question/10739997

#SPJ4

Petra opens her mail one day to find that an anonymous donor has given her $3000 cash. (woohoo!) she sets aside $1000 to refurnish her apartment, and decides to invest the other $2000. unfortunately, the value of the stock swhe invested in started going down almost as soon as she invested her money. if the stock decreases at a rate of 15% per year for eight years, how much is the stock worth when she sells it eight years later?

Answers

The stock worth when she sells it eight years later $545, If the stock decreases at a rate of 15% per year for eight years.

According  to the question,

Petra opens her mail one day to find that an anonymous donor has given her $3000 cash. She sets aside $1000 to refurnish her apartment, and decides to invest the other $2000.

If the stock decreases at a rate of 15% per year for eight years. In order to find the stock worth when she sells it eight years later we have the formula

Value of stock after 'n' years = Principal[1-Rate/100]ⁿ

Value of stock after '8' years = 2000[1-15/100]⁸

= 2000[1-0.15]⁸

=2000[0.85]⁸

=2000[0.2725]

=545$

Hence, the stock worth when she sells it eight years later $545, If the stock decreases at a rate of 15% per year for eight years.

Learn more about stock decreases here

https://brainly.com/question/13939400

#SPJ4

Please help. was due 2 days ago

Answers

Answer:

[tex]x=-\frac{1}{2},\frac{5}{2}[/tex]

Step-by-step explanation:

1) Split the second term in [tex]4{x}^{2}-8x-5[/tex]  into two terms.

1- Multiply the coefficient of the first term by the constant term.

[tex]4\times -5=-20[/tex] to -8 and multiply to -−20?

2 and −10

3 - Split -8x as the sum of 2x and -10x.

[tex]4x^2+2x-10x-5[/tex]

2)  Factor out common terms in the first two terms, then in the last two terms.

[tex]2x(2x+1)-5(2x+1)=0[/tex]

3) Factor out the common term [tex]2x+1[/tex].

[tex](2x+1)(2x-5)=0[/tex]

4) Solve for [tex]x[/tex].

1 - Ask: When will (2x+1)(2x-5) equal zero?

When 2x + 1 = 0 or 2x - 5 = 0

2 - Solve each of the 2 equations above.

[tex]x=-\frac{1}{2},\frac{5}{2}[/tex]

One circle has a circumference of 12x cm. Another circle has a circumference of 32 cm. What is the ratio of the
adius of the smaller circle to the radius of the larger circle?
O 3:8
O 8:3
O 1:3
O 3:1
56:23
21

Answers

The ratio of the radius of the smaller circle to the radius of the larger circle as required in the task is; 3:8.

What is the ratio of the radius of the smaller circle to the radius of the larger circle?

It follows from the task content that the circumference of the smaller circle is; 12cm while that of the bigger circle is; 32cm.

Since, the circumference of a circle is directly proportional to the radius of the circle from the formula; C = 2πr.

The ratio is therefore; 12:32, in which case, when expressed in its simplest form is; 3:8.

Read more on circumference of a circle;

https://brainly.com/question/20489969

#SPJ1

If you gain 7 dollars every 65 second how long will it take to get 50000 dollars

Answers

Answer:

5 days

(the exact number of days below)

Step-by-step explanation:

65/7=9.28571429

9.28571429 sec = 1 dollar

464285.715 seconds=50000 dollars

464285.715 seconds=5.373677256944 days

Need help with this problem
put into quadratic formula

Answers

Answer: [tex]\frac{-7+\sqrt{49-4(15)(-12)} }{30}[/tex]

Step-by-step explanation:

Use the quadratic formula:

[tex]\frac{-b+-\sqrt{b^{2}-4(ac) } }{2a}[/tex]

Substitute the values, A = 15, b = 7, c = -12

[tex]\frac{-7+-\sqrt{7^{2}-4*(15*-12) } }{2*15}[/tex]

Simplify to answer:

[tex]\frac{-7+49-4(15)(-12)}{30}[/tex]

I hope this helps!

This is the answer for the quadratic formula

which of the following is the product of the rational expression shown below

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{x}{x-3}[/tex] × [tex]\frac{2x}{x+5}[/tex] ( no factors cancel on numerator / denominator )

= [tex]\frac{x(2x)}{(x-3)(x+5)}[/tex]

= [tex]\frac{2x^2}{x^2+2x-15}[/tex]

Subtract.


3 x - z + 9
3 x - 16 y - z + 9
3 x + z + 9

Answers

Answer:

1)3×-8

-24

Step-by-step explanation:

2)bshejejnenenejejkejehrh

A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours are needed to get all the water out of the boat when 10 people work together. It takes 8 hours to get all the water out if 5 people work together. How many people are needed to get all the water out in 2 hours

Answers

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

Learn more about AVERAGE here https://brainly.com/question/8728504

#SPJ4

I can find the 3 third side of the triangle

Answers

Answer:

15

Step-by-step explanation:

First side is 20

Second side is 20 * (3/2), as it is 1 and 1 half times longer than the first

Second side is 30(as calculated above)

65-20-30 = 15

what is x and y? i am having trouble finding what x and y are

Answers

Answer:

x = 10

y =10√2

Step-by-step explanation:

45° - 45° - 90° triangle:

 The ratio of the sides of 45°- 45° - 90° triangle is a : a :  a√2

The side opposite to angle 45°  is a

a = 10

⇒ x =  a

  [tex]\sf \boxed{\bf x = 10}[/tex]

The side opposite to 90° is a√2

  y = a√2

    = 10√2

[tex]\sf \boxed{\bf y= 10\sqrt{2}}[/tex]

Answer:

y = 14.1 or 10√2

Step-by-step explanation:

is an isosceles right triangle, so x = 10

to find y we use pythagoras

y = √(10²+10²)

y = √200

y = 14.1 or 10√2

8
45°
Find the value of x.
A. 4
B. 8√√2
2
X
C. 4√2
D. 8√√2
45°

Answers

Hello,

Pythagorean theorem :

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √128

x = √(64 × 2)

x = √(8² × 2)

x = 82

Answer D

Other Questions
Transfer payments include:____.i. social security benefits ii. medicare and medicaid benefits iii. unemployment benefits What causes some caretakers to abuse their elderly charges? A patient with chronic hypertension is admitted to the hospital. During the admission assessment, the nurse notes a heart rate of 96 beats/minute, a blood pressure of 150/90 mm Hg bibasilar crackles, 2 pitting edema of the ankles, and distention of the jugular veins. What will the provider order in response to this assessment data Mark and paula are storing masks. Paula has 70% of the total number of masks. If paula has 840 more masks thatn mark, how many masks should paula give to mark si they both have an equal number of masks For a report to focus on the needs of typical business readers today, it needs to be trustworthy, contain decision-related information, and: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 24 minutes, 5.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. FInd the solution for the ordered pair 2x + y = 5 and x + y = 6 Part of the problem with regulating herbal drugs is that it is unclear whether they should be classified as _____. A measure of the burden of continual deficit financing over time is the ratio of:. A grocery store sells a bad of 4 oranges for $1.04. how much would it cost for 11 oranges? Paul's budget for food is 30% of the budget he has for rent.If his budget for food is $225, what is his budget for rent? The security team at an organization looks to protect highly confidential servers. Which method does the team propose when protecting the servers against explosives? A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other. a)Explain why the shape of the pool is a prism. 1.2 m b)The pool is filled with water at a rate of 2 m per minute. How long will it take to fill the pool? A lengthy illustration with a plota beginning, complications, a climactic point, and an end is called a(n) _____ illustration.a. hypothetical.b. brief.c. extended.d. literal. 1. Determine the molecular formula of an oxide of iron in which the mass of iron and oxygen are 69.9% and 30% respectively given that the molar mass of the oxide 159.898/mol, find the empirical and molecular formula.2. a crystalline salt when heated becomes anhydrous and loses 51.2% of its weight the anhydrous salt analysis gave the percent composition as magnesium is equal to 20.0% and sulphur is equal to 26.66% and oxygen is equal to 53.33%.3. In three moles of Ethane calculate the following1. calculate number of carbon atoms.2. number of moles of hydrogen atoms3. number of molecules of Ethane. The average heart rate of an adult human is 72 beats per minute. For an adult elephant, the average heart rate is 35 beats per minute. A. Whose heart beats more times in one hour B. Whose heart makes 1,000,000 beats in less time Perform the indicated equation Associations between land cover categories, gaseous PAH levels in ambient air and endocrine signaling predicted from gut bacterial metagenome of the elderly A student is asked to write an essay on the following essay question: "In Shakespeare's Romeo and Juliet who is the strongest character in the play?" Which of the following shows a proofread opening paragraph with a strong thesis statement and formal language? A. In Shakespears Romeo and Juliet, I believe Juliet Capulet stands out at the strongest character in the play. She shows her strength in a variety of ways. First she shows her defiance to her parents as she continues to see Romeo against their wishes. She also shoes her cunning in executing the plan Friar Lawrence presented to her in secret. Lastly she shows her courage when she drinks the poison despite her fear of ending up buried alive. B. In Shakespeare's Romeo and Juliet, Juliet Capulet stands out at the strongest character in the play. She shows her strength in a variety of ways. First she shows her defiance to her parents as she continues to see Romeo against their wishes. She also shows her cunning in executing the plan Friar Lawrence presented to her in secret. Lastly she shows he courage when she drinks the poison despite her fear of ending up buried alive. C. In Shakespeares Romeo and Juliet, I believe Juliet Capulet stands out at the strongest character in the play. She shows her strength in a variety of ways. First she shows her defiance to her parents as she continues to see Romeo against their wishes. She also shoes her cunning in executing the plan Friar Lawrence presented to her in secret. Lastly she shows he courage when she drinks the poison despite her fear of ending up buried alive. D. In Shakespeares Romeo and Juliet, Juliet Capulet stands out as the strongest character in the play. She shows her strength in a variety of ways. First she shows her defiance to her parents as she continues to see Romeo against their wishes. She also shows her cunning in executing the plan Friar Lawrence presented to her in secret. Lastly she shows her courage when she drinks the poison despite her fear of ending up buried alive. I need this asap!!!!!!!!!