State all integer values of xx in the interval -4 ≤ x ≤ 3 that satisfy the following inequality: -5x -3 > 8

Answers

Answer 1

The integer which satisfies both inequalities  -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given first inequality,

-4 ≤ x ≤ 3

The integer associated with the above inequality is -4,-3,-2,-1,0,1,2,3.

As per the given second inequality,

-5x -3 > 8

-5x > 8 + 3

-5x > 11

x < -11/5

x < -2.2

The integer associated with the above inequality is -3,-4....

The integer satisfies both inequalities are -3 and -4.

Hence "The integer which satisfies both inequalities  -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4".

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Related Questions

find the slope line 2x + 5y = 21

Answers

Answer:

Slope [tex]\frac{-2}{5}[/tex]

Step-by-step explanation:

2x + 5y = 21  Subtract 2x from both sides of the equation

5y = -2x + 21  divide all the way through by 5

y = [tex]\frac{-2}{5}[/tex] x + [tex]\frac{21}{5}[/tex]  The slope is the coeffience of the variable (the number before the x)

m = -2/5 I hope this helps!

There are a Total of 11 bicycles and tricycles altogether in the shop window. They have a total of 29 wheels. How many bicycles are there ?

Please answer very correctly

Answers

The number of bicycles that are there is 4.

How to find the number of bicycles?

There are a Total of 11 bicycles and tricycles altogether in the shop window.

They have a total of 29 wheels.

Therefore, the number of bicycles that are there can be calculated as follows;

Bicycles has 2 wheels and tricycles has 3 wheels.

Therefore,

let

x = number of bicycle

y = number of tricycle

2x + 3y = 29

x + y = 11

Multiply equation(ii) by 2

2x + 3y = 29

2x + 2y = 22

y = 7

x = 11 - 7

x = 4

Therefore the number of bicycle is 4.

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A farmer plans to build a rectangular garden behind his house such that he only needs fencing on 3 sides of the garden. If he wants the second side of the garden to be 30 feet longer than the back of his house, and the area of the garden is going to be equal to 400 square feet, how much fencing dose he need to buy?

Answers

The amount of fence the farmer will need to buy is 90 ft

What is Area of Rectangle?

The area of rectangle is the product of its length to its width.

i.e., Area of Rectangle= length x width

let the length of the back of his house be x ft.

Thus, if the second side of the garden to be 30 feet longer than the back of his house,

then the length of the second side is; (x + 30) ft.

Now,

Area = Length × width

400 = x (x + 30)

400 = x² + 30x

x² + 30x - 400 = 0

Solving the quadratic equation:

x = -40 or 10

Thus, length of second side = 10 + 30 = 40 ft

Now, Perimeter of 3 sides = 10 + 2(40)

Perimeter of 3 sides = 90 ft

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Please help on two geometry questions!!!

Answers

Considering the two figures the value of x is

8) x = 12degrees9) x = 8.25 degreesHow to determine the value of x

The value of x is found by the external angle theorem which states that the sum of the two opposite internal angels of a triangle gives the external angle

The value of x is calculated as below

8)  70 + 5x = 9x + 22

70 - 22 = 9x - 5x

48 = 4x

x = 12

9)  65 + 8x + 11 = 16x + 12

65 + 11 - 12 = 16x - 8x

66 = 8x

x = 8.25

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Which parts of the triangles are congruent in the image? If you don’t know skip.

Answers

Answer:

angle LHJ is congruent to angle IKL

Answer:

segment JL is congruent to segment JK

segment HL is congruent to segment KI

Angle LJH is congruent to angle KJI

Step-by-step explanation:

we flip the triangles to look for the corresponding sides

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There are 30 members in a committee. On a certain day.
[tex] \frac{11}{15} [/tex]
of the total members were present. How many members were present? How many were absent?​

Answers

22 members were present and 8 members were absent.

There are 30 members in a committee.

On a certain day 11/15 of the total members were present.

Let x be the number of members who were present.

So, we get an equation,

x = 11/15 * 30

We solve above fraction.

x = 11 * 2

x = 22

So, 22 members were present.

And 30 - 22 = 8 members were absent.

Therefore, 22 members were present and 8 members were absent.

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An element with a mass of 800 g to Cave by 28% per minute. To the nearest minute how long will it take until they were 140 g of the element remaining?

Answers

I guess “to Cave” means decay.
After n minutes the amount remaining = original mass x (1 - 0.28)^n
800 x 0.72^n = 140
0.72^n = 140/800 = 0.175
n = log(0.175)/log(0.72) = 5.305
To the nearest minute it takes 5 mins until there is only 140 g remaining.

The weight remaining follows this sequence: 800, 576, 414.7, 298.6, 215, 154.8, 111.5
so the closest weight to 140 is after 5 minutes

Draw the dilation of ABC with center P scale factor 2. label the dilation GHI

Answers

Using dilation rules, the dilated triangle whose coordinates of the vertices are as follows: A'(-2 , 2), B'(-1,0), C'(1 , 2).

What is the rule for a dilation?

To dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x, y) -> (ax, ay).

suppose the coordinates of the vertices of ABC are given as follows:

A(-6,6), B(-3,0), C(3,6).

After a dilation with a scale factor of 1/3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-2 , 2), B'(-1,0), C'(1 , 2).

These coordinates are derived multiplying the coordinates of A, B and C by 1/3.

For the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by 2 to generate the dilated triangle.

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(y − 1)(y + 10)(y-6) < 0

Answers

Solve for y by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

y<−10 or 1<y<6

Interval Notation:

(−∞,−10)∪(1,6)

The first three terms of a sequence are given. Round to the nearest thousandth. 10, 5, 5/2. Find the 6th term

Answers

Answer:

0.3125

Step-by-step explanation:

10 / 2 is 5

5 / 2 is 2.5

2.5 / 2 is 1.25

1.25 / 2 is 0.625

0.625 / 2 is 0.3125

An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:

C(m) = 11.99m + 7

In the above function, what is the slope?

What is the y-intercept?

How do we interpret the slope of this function?

How do we interpret the y-intercept of this function?

Answers

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

C(x) = 11.99 + 7

The slope of the function is 11.99.

The y-intercept of the function is 7.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

C(m) = 11.99m + 7

The equation is in the form of y = mx + c

So,

m = 11.99

c = 7

The slope of the function is 11.99.

The y-intercept of the function is 7.

Thus,

The slope of the function is 11.99.

The y-intercept of the function is 7.

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5-1 Homework
1. An electronics store has a frequent
shopper program. The buyer earns
4 points for every movie purchased.
Draw a graph which models this
situation.

Answers

Answer:

f(x) = 4x
for graph see attachment

Step-by-step explanation:

when the buyer gets 4 points for each movie purchased, the equation for the graph is f(x) = 4x

x being the movies, 4 being the amount of points per movie granted.


At the start of the year, the soup kitchen had v volunteers. During the year, 12 more
volunteers joined them. Write an expression that shows how many volunteers there are now.

Answers

V+12 is the expression that shows how many volunteers there are now

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

At the start of the year, the soup kitchen had v volunteers.

During the year, 12 more volunteers joined them

Joined them means added, it means 12 volunteers are added to the v volunteers

v plus twelve.

v+12

Hence v+12 is the expression that shows how many volunteers there are now

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Graph the point on the graph.

Answers

Answer:

see below

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

Info down in Explaination

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

How many liters of a 25% saline solution
must be mixed with 4 liters of a 40% saline
solution to make a 30% saline solution?

Answers

The required amount of 25% saline solution is 8 liters.

Finding unknown quantity using Linear equation:

In mathematics, the equation that used to find an Unknow quantity is known as Linear Equation. Here we use different types of variables to represent the unknown value like x, y, z or a, b, c.. etc.

               

Here we have

4 liters of a 40% saline  

we need to make it a 30% of saline solution by adding a mount of 25% saline solution

Let us assume that we added x L of 25% of saline solution  

After adding x L of 25% saline into 4 liters of 40% saline to get 30% saline solution then the resultant solution is “x+4” liters of 30% saline.

The mathematical representation for the above line will be

⇒ x litres 25% saline + 4 litres 40% saline = (x+4) litres 30% saline

⇒ x(25%) + 4(40%) = (x+4)(30%)

⇒ 25x/100 + 4(40/100) = (x+ 4)30/100  

⇒ 25x + 160 = (x +4)30  

⇒ 25x + 160 = 30x + 120

⇒ 30x - 25x = 160 - 120

⇒  5x = 40

⇒ x = 8

Therefore

The required amount of 25% saline solution is 8 liters

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A giant tortoise moves at a slow but steady pace. It takes the giant tortoise 1 hour to travel 2 miles. ¿How many miles (mi) a tortoise travels in ¼ hour? Use the bar diagram to help you.

Answers

The distance travelled by the tortoise in 1/4 hour is 0.5miles

What is rate?

A rate is a more general measure in which one quantity is divided by another quantity, where both quantities don't necessarily need to have the same unit of measure. For example , Tayo typed 500 words in 50 minutes. This means that the rate of Tayo in typing is 500/50= 10words per minutes.

The tortoise travels 2miles in 1hour. There are two terms of different unit, which are distance in miles and time in hours

if the tortoise travels 2miles in 1hour

then in 1/4 hours,

the tortoise will travel 2×1/4

= 0.5mile

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A sailboat is headed due north, and its sail is set perpendicular to the wind, which is from the south of west. The component of the force of the wind in the direction of the heading is 480N, and the component perpendicular to the heading (the drift component) is 650 N. What is the force exerted by the wind, and what is the direction of the wind?

Answers

The direction of force is [tex]53.6^0[/tex] South of West and force exerted by the wind is 596.4N.

What are the component of force?

If a force acting at some angle [tex]\theta[/tex] with respect to x axis then the force can be resolved into two perpendicular forces ([tex]Fcos\theta[/tex] and [tex]Fsin\theta[/tex]). These perpendicular forces are known as component of forces.

Consider the following diagram of the sialboat.

The component of force along the heading direction is 480N and the component of force perpendicular to the heading is 650N.

If F is the foce the direction of wind then then component of force in the East direction will be [tex]Fcos\theta[/tex] and the component of force in the heading direction is [tex]Fsin\theta[/tex]. Now, take the ratio of these two compnents to find the angle [tex]\theta[/tex] as follows:

[tex]tan\theta=\frac{Fcos\theta}{Fsin\theta}\\tan\theta=\frac{650N}{480N}\\\\\theta=tan^{-1}(1.354)\\=53.6^0[/tex]

Now, calculate the force exerted by the wind. Equate the force in heading direction to find the force.

[tex]Fsin\theta=480N\\F=\frac{480N}{sin\theta}\\=\frac{480N}{sin53.6^0}\\=596.4N[/tex]

Hence, the direction of force is [tex]53.6^0[/tex] South of West and force exerted by the wind is 596.4N.

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y = 3x + 18
y = 15






..............................

Answers

Answer:  " x = 1 ".

    The answer for this 'system of equations' is:  " [1, 15] ".

_________

Step-by-step explanation:

To solve for x :

Given:
  y = 3x + 18

  y = 15 ;

_________
 We know that:

 3x + 18 = 15 ;  Now, subtract 18 from Each Side of the equation:

  3x + 18 − 18 = 15 − 18 ;

  to get:

  3x = 3 ; Now, divide Each Side of the equation by 3 ;

     to isolate x on one side of the equation;

      and to solve for x :
 

   3x / 3 = 3 / 3 ;

   to get:    x = 1

_________

The answer is: " x = 1 " ;

 The answer for this 'system of equations' is:
   " [1, 15] " <== { written as:  " [x, y] "} ;

                         in which: " y = 15 " ; is given in the problem.

_________
Hope this answer is helpful.
 Best wishes!
_________

The graph of y = f(x) is graphed below. What is the end behavior of f(x)?

Answers

Answer:

  (a)  as x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞

Step-by-step explanation:

You want to know the end behavior of the 4th-degree function shown in the graph.

Arrows on the graph

The graph has an arrow on each end of the curve shown in the figure. The left arrow points upward, indicating a tendency to +∞ as x gets more negative.

The right arrow also points upward, indicating a tendency to +∞ as x gets more positive.

  As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and
4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?
• $3.25
O $5.25
• $7.75
• $17.25

Answers

The answer is $5.25 because if you look at the equation it’s clear that the pizza is more expensive than the sodas so there for you do a little multiplying and that’s what you get

The cost of 1 slice of cheese pizza and 3 sodas cost will be;

⇒ $5.25

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75.

And, Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50.

Now,

Let the cost of 1 slices of cheese pizza = x

And, The cost of 1 slices of soda = y

Since, Richard bought 3 slices of cheese pizza and 2 sodas for $8.75.

Hence, We get;

⇒ 3x + 2y = $8.75  ..(i)

And, Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50.

So, We get;

⇒ 2x + 4y = $8.50  ..(ii)

Multiply by 2 with (ii);

⇒ 2 (3x + 2y) = 2 × $8.75

⇒ 6x + 4y = $17.5  

Subtract from (ii), we get;

⇒ 6x + 4y - 2x - 4y = $17.5 - $8.50

⇒ 4x = $9

⇒ x = $2.25

And, ⇒ 2x + 4y = $8.50

⇒ 2 × $2.25 + 4y = $8.50

⇒ $4.5 + 4y = $8.50

⇒ 4y = $8.50 - $4.5

⇒ 4y = $4

⇒ y = $1

Thus, The cost of 1 slice of cheese pizza and 3 sodas cost will be;

⇒ $2.25 + 3 × $1

⇒ $2.25 + $3

⇒ $5.25

Therefore, The cost of 1 slice of cheese pizza and 3 sodas cost will be;

⇒ $5.25

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what are the two estimates of 1,624 divided by 3

Answers

A number is divisible by 3 it the sum of its digits is divisible by 3. In this case, we have

which is not divisible by 3. The nearest multiples of 3 are 1623 and 1626. If you divide these numbers by 3, you have

So, the result of our division is between 541 and 542.

If these numbers are too complex to divide, we have to choose easier numbers, but we will lose some accuracy. For example, we can see that 1624 is between 1500 and 1650, which are very easily divisible by 3. We have

So, the result of our division is between 500 and 550. This is still true, but as you can see it is a much looser approximation than the one before.

Ashley has a $80 gift card to her favorite coffee shop. Each day, she uses her gift *
card to buy a coffee for $4.50, Aaron has a $60 gift card to the same coffee shop.
Each day, he uses his gift card to buy an iced tea for $2.50. For what number of
drinks purchased will Ashley's gift card balance be greater or equal to Aaron's?

Answers

Step-by-step explanation:

I assume this means that both purchase one item every day.

so, their number of purchases are the same (x).

80 - 4.5x >= 60 - 2.5x

20 - 4.5x >= -2.5x

20 >= 2x

10 >= x

our

x <= 10

after 10 purchased drinks their balances will be equal.

before that, Ashley's card balance will be greater than Aaron's.

after that, Aaron's card balance will be greater than Ashley's.

so, for up to 10 purchased drinks Ashley's card balance will be greater or equal to Aaron's.

Find the unknown term in the geometric proportion x = 4 :: 8 : 2​

Answers

Arithmetic proportions:

Arithmetic proportions are those whose means are not equal and are called discrete arithmetic proportions. On the contrary, if the means of the arithmetic proportion are equal, it is called continuous.

[tex]\bf\large{\underline{\fcolorbox{blue}{aqua}{Problem:}}}[/tex]

[tex] \sf x = 4 :: 8 : 2[/tex]

Since the unknown term is an extreme and as we have seen, it is equal to the product of the means divided by the other extremes, we will have:

[tex]\boxed{\: x = \frac{4 \times8}{2} = \frac{32}{2} = 16 }[/tex]Therefore, the resulting geometric proportion would be:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \red\longmapsto \sf \orange{16 : 4 :: 8 : 2}[/tex]

CARD #8:
For community service, Ben is picking
up litter along Avondale and Bedford
Way. Adam is picking up litter along
Oakley Street.
Avondale
39 yds
Oakley Street
52 yds
Bedford Way
How many more yards of roadside is
Ben cleaning than Adam?
Samson says Ben is
cleaning 65 more
yards than Adam.
Sheridan says Ben
is cleaning 26 more
yards than Adam.

Answers

The yards of roadside that Ben is cleaning more than Adam is 26 yards. Sheridan is correct.

Who is correct?

The first step is to determine the length of Oakley Street. Pythagoras theorem would be used to determine the length.  Oakley Street is the hypotenuse of the right triangle that is formed by the streets.

The Pythagoras theorem: a² + b² = c²

where:

a = lengthb = basec = hypotenuse

39² + 52² = c²

1,521 +  2704 = c²

c² = 4,225

c = √4225

c = 65 yards

Total yards Ben picked = 39 + 52 = 91 yards

Yards picked by Adam = 65 yards

Difference in the yards of litters picked = 91 - 65 = 26 yards

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The number of students in nine faculties of a university are given as 168, 285, 397, 331, 383, 359, 366, 280 and 369 Find the mean number of students per Faculty

Answers

The mean number of students per Faculty is 326.

What is mean?

Mean simply means the average of a set of numbers.

In this case, the number of students in nine faculties of a university are given as 168, 285, 397, 331, 383, 359, 366, 280 and 369. The mean will be:

= Total values / 9

= (168 + 285 + 397 + 331 + 383 + 359 + 366 + 280 + 369) / 9

= 2938 / 9

= 326.44

The mean is 326.

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Copy the triangle. Start at any vertex and label the triangle as WVU.
.
What sides include

Answers

Top right. It has the same angle

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.25 0.5987 0.35 0.6368 0.45 0.6736 1.00 0.8413 1.26 0.8961 1.35 0.9115 1.36 0.9131 9% 24% 59% 91%

Answers

Answer:

0.5867  (or 58.7%)

Step-by-step explanation:

The probability that a randomly selected student has a score between 350 and 550 is  59%.

What is z score?

Standard score or z score in statistics is defined as the number of standard deviations by which that the value of a score is above or below the mean value.

Given that,

The scores of the students on a standardized test are normally distributed.

Mean, μ = 500

Standard deviation, σ = 110

z score = (x - μ) / σ

For x = 350,

z = (350 - 500) / 110 = -1.36

Probability = 1 - 0.9131 = 0.0869

For x = 550,

z = (550 - 500) / 110 = 0.45

Probability = 0.6736

Probability that a randomly selected student has a score between 350 and 550 is,

P = 0.6736 - 0.0869 = 0.5867 ≈ 59%

Hence the required probability is 0.5867 or 58.67%.

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Could you guys please help?

Answers

The real roots of the function is {0,-2} and there are no repeated roots.

Given function:

f(x) = [tex]x^{2} +2x[/tex]

[tex]x^{2} +2x=0[/tex]

take x as common

x(x+2) = 0

x = 0 and x + 2 = 0

x+2 = 0

x = -2,0.

Therefore the real roots of the function is {0,-2} and there are no repeated roots.

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Sally can paint a room in 6 hours while it takes Steve 8 hours to paint the same room. how long would it take them to paint the room if they work together

Answers

Answer:

It will take them 3.5 hours to paint the room.

Step-by-step explanation:

Step 1: Add the number of hours it takes them together

    A. 6 + 8

Step 2: Divide the total number of hours by two (since two people are working together)

    B. 12 / 2 = 7 hours

Step 3: Divide by two again since you now have twice the speed

    C. 7 / 2 = 3.5 hours

Enter an inequality that represents this graph

Answers

The inequality that represents the graph is y < 4

The graph is shown in the figure

The graph is the pictorial representation of the collection of data. It has 2 axis . The x axis and y axis

Consider the each block of the graph as 1 units

At y = 4 there is dotted line parallel to the x axis of the graph

The dotted line represents the inequality symbol less than, Therefore the value of y is less than 4

From the graph, the entire region of the graph that y less than 4 are shaded therefore for all the value of x the value of y is less than 4

The inequality will be

y < 4

Hence, the inequality that represents the graph is y < 4

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HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X) approximately how many times greater is the atmospheric pressure in jupiter's core than on earth's surface? If the only force acting on the rock is its weight, what is the magnitude of the rate of change of its angular momentum at this instant? express your answer in kilogram-meters squared per second squared. discuss the factors that influence the compressive strength of concrete exposed to a fire of medium intensity (1200 f, short-duration exposure). compared to the compressive strength, how would the elastic modulus be affected? Whom whose who who whom whosE In 3-5 sentences, describe the advantages and disadvantages of using these two different images to model Mitosis. Hello! I need help on this transversals of parallel lines: name angle pairs. If someone can help it would be great! How much more atp is generated from glucose 6-phosphate, compared to glucose, when it is metabolized by the glycolytic pathway?. one important way of gaining access to those in government is to employ former officials as lobbyists. True or False Why is it so important to learn about the constitution?? Which adaptation was the most important in enabling the first terrestrial animals to eliminate their dependence on aquatic habitats?. How was the colony of Georgia different from therest of the Southern Colonies? after a bank reconciliation is completed, journal entries are prepared for items in the balance per company's records as well as items in the balance per bank statement. true false a client was admitted with a diagnosis of schizophrenia and exhibiting behaviors of hostility, paranoia, and isolation. the student nurse discussed with the nurse what the most therapeutic approach to take with the client would be. which would indicate to the nurse that the student understands the best approach? Find the range and standard deviation of the set of data.11, 10, 5, 13, 16The range is 11.(Simplify your answer.)The standard deviation is ____(Round to the nearest hundredth as needed.)Find the standard deviation please All of the following groups are at increased risk of testicular cancer EXCEPT:Circumcised males.White males.Men with undescended testicles.Men with a family history of it. Read the following sentence:Nathan's lawyer had done everything they could to prove he was all he could do now is wait and hope the jurywould be fair.What is the connotative meaning of the word "fair" as it is used in the sentence? Why were many African Americans dissatisfied with the Constitution why did Washington use military strategy rather than military strength to defeat the British at Trenton and prevent the British from marching into Princeton. The area of a rectangle i 223. 2 m2. If the length i 16 m, what i the perimeter of the rectangle?