the ishango bone eas found 20000years ago in the congo. why do archaeologist bellieved that the scratxhes on this bine was from people conting​

Answers

Answer 1

Final answer:

The Ishango bone, found in the Congo with scratches believed to represent counting, shows evidence of prehistoric mathematical activity 20,000 years ago. It suggests early numerical understanding and supports the theory that Stone Age humans engaged in proto-mathematics.

Explanation:

The Ishango bone is a significant archaeological find believed by many archaeologists to be evidence of prehistoric mathematical activity. Found 20,000 years ago in what is now the Democratic Republic of Congo, the bone has a series of noticeable scratches that many scholars interpret as a form of counting. The precise nature of these markings is still the subject of debate, but the prevailing theory is that they were used for arithmetic operations, such as keeping track of numbers or simple calculations.

The archaeological context of the Ishango bone, being from the Stone Age, highlights the early presence of numerical comprehension, which could suggest that the humans of that era had some sense of numbers and possibly even a form of proto-mathematics. This idea is reinforced not just by the Ishango bone, but also by the evidence from various archaeological sites across Africa, where other mathematical tools and representations, such as carved stones with depictions of animal figures, which date back tens of thousands of years, have been found.

The discovery of the Ishango bone adds to a growing body of evidence that early humans had the ability to count and perform simple mathematical operations long before the establishment of formal systems of writing or the development of modern number systems. Such artifacts are invaluable for understanding the cognitive abilities of our early ancestors and the origins of mathematical practices.


Related Questions

You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.

Answers

Answer:

The radius of the aquarium tank is [tex]8.25\ ft[/tex]

Step-by-step explanation:

we know that

Applying the Tangent Secant Theorem

[tex]DC^{2}=AC*8[/tex]

we have that

[tex]AC=(D+8)\ ft[/tex]

[tex]DC=14\ ft[/tex]

substitute

[tex]14^{2}=(D+8)*8[/tex]

[tex]196=8D+64[/tex]

Solve for D

[tex]8D=196-64[/tex]

[tex]8D=132[/tex]

[tex]D=16.5\ ft[/tex]

Find the radius

The radius is half the diameter

[tex]r=16.5/2=8.25\ ft[/tex]

Answer:

8.25

Step-by-step explanation:

DC = 14ft

AC = 8ft + the diametre

Lets use d for diametre

The equation we are using is the Segments of Secants and Tangents Theorem, which is [tex]DC^{2}[/tex] = 8ft (or the outside segment) * AC (the whole segment)

[tex]14^{2}[/tex] = 8 * (8 + d)

196 = 64 + 8d

Subtract 64 from 196 to get: 132 = 8d

Divide 8 from 132 to get: d = 16.5

Now the diametre is 16.5, but the radius is half the diametre, so now you have to do: 16.5 / 2

So the radius would end up being 8.25

Jeannie discovered that the ratio of kilometers to miles is 1 to 0.6. When her family was driving in Canada, she saw a sign that said it was 80 kilometers to Moncton. How many miles do they have to drive to get to Moncton?

Answers

Answer:

48 miles

Step-by-step explanation:

1 Kilometer = 0.6 miles

80 kilometers = X miles

1 kilometer/0.6 miles = 80 kilometers/X miles

then cross multiply the ratio

X (1) = 80 (0.6)

X=48 miles

Answer:

48

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

Look at the picture.

Therefore we have:

[tex]\dfrac{4}{3}=\dfrac{x}{2.25}[/tex]            cross multiply

[tex]3x=(4)(2.25)[/tex]

[tex]3x=9[/tex]             divide both sides by 3

[tex]x=3[/tex]

Using the tax table, determine the amount of taxes for the following situations: (Do not round intermediate calculations. Round your answers to 2 decimal places.)


a. A head of household with taxable income of $58,500.



b. A single person with taxable income of $36,400.



c. Married taxpayers filing jointly with taxable income of $72,700.

Answers

Final answer:

To calculate taxes for each scenario, use the progressive tax rate schedules to find the correct tax bracket, apply the marginal tax rate, add any base tax amount, and complete the calculation for the head of household, single person, and married taxpayers filing jointly.

Explanation:

To calculate the amount of taxes for the given situations, we use the tax rate schedules provided. For each scenario, the tax is calculated based on the income brackets and the corresponding tax rates in the tax table, which align with a progressive tax system. Detailed calculations are needed with step-by-step explanations for accuracy.

Head of Household with taxable income of $58,500: First, determine the tax bracket according to the tax table and then apply the relevant tax rate and base amount.Single person with taxable income of $36,400: Identify the appropriate bracket from the tax table, then calculate the taxes owed by applying the marginal tax rate.Married taxpayers filing jointly with taxable income of $72,700: Locate their bracket in the shared tax table and calculate the corresponding taxes using the stipulated rate and base amount.

The mentioned tax brackets and rates are based on example tax tables; the actual calculations would depend on the specific tax brackets and rates set forth by the IRS for the given tax year.

PLEASE FIND SURFACE AREA OF THIS CYLINDER. URGENT!!!

Answers

Answer:

131.9468915

Step-by-step explanation:

Side length= 6*4*pi

Circles=2(9*pi)

Add them and you get that answer.

Easy! The formula to help with surface area is the first equation.

How many triangles satisfy the conditions a=14, b=2, and A=66?

Answers

Answer:

1

Step-by-step explanation:

0 Triangles satisfy the given condition.

What is the triangle inequality?

Triangle inequality theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c.

In this question:

a,b and A are three sides of triangle.

a=14

b=2 and

A=66

In this triangle

A+b=64>14A+a=80>2but, a+b=16<64 which violates the triangle inequality.

Therefore, no such triangle with given dimension can exist.

To know more about triangles refer:https://brainly.com/question/1620555

#SPJ2

What is a quadrilateral that has no lines of symmetry

Answers

Answer:

A parallelogram is a quadrilateral with no axis of line symmetry.

Answer:

parallelogram

Step-by-step explanation:

a parallelogram does not have an axis of a line of symmetry

Which is a true statement about the diagram?
A- m25+ m26 = m_1
B- m23 + m24+ m25 = 180°
C- mz1 + m_2 = 180°
D- m22 + m23 = m_5

Answers

Answer:

C

Step-by-step explanation:

The statement deduced from the diagram is m∠1 + m∠2 = 180°

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠2 = 180° (sum of angles in a straight line)

The statement deduced from the diagram is m∠1 + m∠2 = 180°

Find out more on angle at: https://brainly.com/question/25770607

Choose the correct graph of the given system of equations.

y + 2x = −1
3y − x = 4

Answers

Answer:

The correct graph is which x= -1 and y =1

Step-by-step explanation:

The question is on simultaneous equations

2x+y= -1.........................(a)

-x+3y = 4

Eliminate on side of the equation;

{2x+y= -1} 3

{-x+3y = 4} 1

open brackets

6x + 3y = -3

-x + 3y = 4......................eliminate y by subtraction

7x= -7.....................divide both sides by 7

x= -7/7 = -1......................use  this in (a) above

2x+y = -1

2(-1) + y = -1

-2 +y = -1

y= -1+2 = 1

hence x= -1 and y = 1

Use the zero product property to find the solutions to the eqation 6x^2 -5x=56​

Answers

Answer:

B. 7/2, -8/3

Step-by-step explanation:

Move all the terms to the left side and set them equal to zero.  Then set each factor equal to zero.

An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are green, 1 4 of all are blue and the rest 26 eggs are red.

Answers

Answer:

56 eggs

Step-by-step explanation:

If [tex]\frac{2}{7}[/tex] of all eggs are green, [tex]\frac{1}{4}[/tex] of all are blue, then

[tex]1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}[/tex]

of all eggs are red.

We know that there are 26 red eggs

[tex]26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}][/tex]

Make a proportion

[tex]\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56[/tex]

What is the following product sqrt 12 times sqrt 18

Answers

Answer:

6√6 or 14.69694 (hope this helps)

Step-by-step explanation:

Product [tex]\sqrt{12}[/tex] times [tex]\sqrt{18}[/tex] is  6[tex]\sqrt{6}[/tex].

How to find the product of square roots?

The square root of 12 can be written as

[tex]\sqrt{12} = \sqrt{2*2*3} = 2\sqrt{3}[/tex]

The square root of 18 can be written as

[tex]\sqrt{18} = \sqrt{2*3*3} = 3\sqrt{2}[/tex]

so, [tex]\sqrt{12} *\sqrt{18} = 2\sqrt{3} * 3\sqrt{2}[/tex]

=6[tex]\sqrt{3*2}[/tex]

=6[tex]\sqrt{6}[/tex]

To learn more about square root, refer :

https://brainly.com/question/11388449

#SPJ2

GRADUATING THIS WEEK NEED THIS ALL ANSWERED


5. Tanika drove 189 miles. She drove 63 miles per hour. For
how many hours did Tanika drive? t=. hours
6. -2x< 4
7. 5t+7< 32
t=
8. 12s-17 2s +33
SE
9. -8m >-24
m=
10. 8n+7 > 4n+35
n=​

Answers

Answer:

3 hours

Step-by-step explanation:

We have the amount of miles that Tanika passed, 189 miles. We also have the speed at which Tanika was driving, 63 miles per hour. Basically, Tanika was passing 63 miles on every one hour of driving. In order to find out how much time was Tanika driving with that speed to pass those miles, we just simply need to divide the miles passed with the speed of driving:

189 / 63 = 3

So we have a result of 3, thus Tanika needed three hours with a speed of 63 miles per hour to pass 189 miles.

Question 1:

For this case we can raise a rule of three:

63 miles ---------------> 1 hour

189 miles -------------> x

Where "x" represents the number of hours it takes Tanika to travel 189 miles.

[tex]x = \frac {189 * 1} {63}\\x = 3[/tex]

So, Tanika takes 3 hours to travel 189 miles

Answer:

Three hours

Question 2:

For this case we must solve the following equations:

A) [tex]-2x <4[/tex]

Dividing between -2 on both sides of the inequality:

[tex]x <\frac {4} {- 2}\\x <-2[/tex]

B) [tex]5t + 7 <32[/tex]

We subtract 7 on both sides of the inequality:

[tex]5t <32-7\\5t <25[/tex]

Dividing between 5 on both sides of the inequality:

[tex]t <\frac {25} {5}\\t <5[/tex]

C) [tex]12s-17 \geq2s + 33[/tex]

We subtract 2s on both sides of the inequality:

[tex]12s-2s-17 \geq33\\10s-17 \geq33[/tex]

We are 17 on both sides of the inequality:

[tex]10s \geq33 + 17\\10s \geq50[/tex]

We divide between 10 on both sides of the inequality:

[tex]s \geq \frac {50} {10}\\s \geq5[/tex]

D) [tex]-8m> -24[/tex]

Dividing between -8 on both sides of the inequality:

[tex]m> \frac {-24} {- 8}\\m> 3[/tex]

E) [tex]8n + 7> 4n + 35[/tex]

Subtracting 4n on both sides of the inequality:

[tex]8n-4n> 35-7\\4n> 28[/tex]

Dividing between 4 on both sides of the inequality:

[tex]n> \frac {28} {4}\\n> 7[/tex]

Answer:

[tex]x <-2\\t <5\\s \geq5\\m> 3\\n> 7[/tex]

A pendulum has 991 J of potential energy at the highest point of its swing. how much kinetic energy will it have at the bottom of its swing?
Your Answer:
Answer:
units:

Answers

Answer:

991 J

Step-by-step explanation:

At the bottom of the swing all of the potential energy has been converted to kinetic energy (assuming a lossless system).

Answer:

991 J

Step-by-step explanation:

At the highest point, an object has maximum potential energy and no kinetic energy. And at its lowest point, an object has maximum kinetic energy and no potential energy. All of the potential energy it had was converted into kinetic.

Three boys share 1.92 equally how much money does each boy get

Answers

Divide the total amount of money by the number of boys:

1.92/3 = 0.64 cents

Each boy gets 0.64 cents.

Which of the following are independent variables?

gasoline

insurance

tires

car payment

registration fee

oil

Answers

A variable in mathematical terms is said to be Independent, if it's value does not depend on other variable.

For, example

 y=x²

Here , you can take any one among, x and y as independent and other as Dependent to get value of other.

For, example

 x=2, gives y=4.

So,variable y is dependent on variable x.So, y is Dependent and x is Independent.

Now, Among the given options

 The Naturally Occuring product found on earth are Independent ,and Man made product which is a combination of Natural and Human beings are Dependent.

⇒Option A

Gasoline

Option F

Oil

Gasoline, tires, and oil are the independent variables from the given options.

The independent variables are the ones that can be directly controlled or manipulated in an experiment or analysis.

The independent variables would typically be:

Gasoline: The amount of gasoline can be controlled by choosing how much to put in the vehicle.

Tires: The type and condition of tires can be chosen and changed.

Oil: The choice and frequency of oil changes can be controlled.

Hence, the independent variables are gasoline, tires and oil.

To learn more on Independent variables click here:

https://brainly.com/question/32711473

#SPJ6

identify the features of the graph

Answers

-is a positive parabola

-has two roots at x= 1 and x= 5

- has a y-intercept at y=5

- has a minimum at (3, -4)

- axis of symmetry is x=3

What they said ^^^^^^^^^^^^^^^

the red trail is 3 1/4 miles long. the blue trail is 7/8 times as. long as the red trail. a group finished hiking 3/5 of the red trail when it started to rain. what is the distance that they hiked before it started to rain?

Answers

Answer:

2 13/20

Dude the blue trail is trying to trick you. scratch it out.

Step-by-step explanation:

Make the denominators the same

3 1/4 -->3 5/20

3/5   -->  12/20

covert this to an improper fraction-->3 5/20 --> 65/20

Subtract 65/20 - 12/20= 53/20

simplify 53/20 --> 2 13/20

Final answer:

To find the distance hiked before it started to rain, the length of the red trail (3 1/4 miles) is multiplied by 3/5, giving a distance of 1.95 miles.

Explanation:

The student has asked about the distance hiked on the red trail before it started to rain. To find the distance, we need to calculate 3/5 of the red trail length, which is 3 1/4 miles long. First, we must convert the mixed number to an improper fraction. 3 1/4 miles can be expressed as (3 × 4 + 1)/4 = 13/4 miles. Then we multiply 13/4 by 3/5 to find the distance hiked: (13/4) × (3/5) = (13 × 3) / (4 × 5) = 39/20. Converting this back to miles gives us 1.95 miles.

PLZZZ HELP ME SOLVE!!!!!!!

Answers

Answer:

D. 6^30

explanation:

(6^36)/(6^6)= 6^30

Which description can be written as the expression n/4 - 13?

Answers

Answer:

Step-by-step explanation:

Weren't there possible answer choices?  Whenever there are, would you please share them.  Thank you.

n/4 - 13 could be written "13 less than one quarter of the number n."

What is the area of this composite shape ?

Answers

Answer: 53 inches

Step-by-step explanation:

so to figure this out..

1. split the shape. there will be a 6 by 8 rectangle and a Height of 2 inches and the length of 5 inch triangle.

2.then find the area of 6 * 8 equals 48

3.Then find the area of the triangle. 5 * 2 equals 10. then  Divide 10 / 2 your answer will be 5

4.Then  add 48 and 5 together your answer will be 53

The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2

Answers

Hello!

The answer is:

The x-coordinate of the solution to the system of equations is:

[tex]x=-2[/tex]

Why?

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

[tex]\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.[/tex]

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

[tex]\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.[/tex]

[tex]5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2[/tex]

Now, substituting "y" into the first equation, to isolate "x" we have:

[tex]y=x+4\\\\2=x+4\\\\x=2-4=-2[/tex]

Hence we have that the x-coordinate of the solution to the system of equations is

[tex]x=-2[/tex]

Have a nice day!

Answer:

The x coordinate of the solution is -2

Step-by-step explanation:

* To find the x-coordinate of the solution to the system of the

  equations y = x + 4 and 3y = -2x + 2 solve the equations by the

  substitution method

- In the substitution method we substitute one of the two variables

 by the other to make an equation of one variable

∵ y = x + 4 ⇒ (1)

∵ 3y = -2x + 2 ⇒ (2)

- Substitute the value of y in equation (2) by the value of y in equation (1)

∵ The value y = 4 + x in the equation (1)

- Put this value of y in the equation (2)

∴ 3(x + 4) = -2x + 2 ⇒ open the bracket

∴ 3x + 12 = -2x + 2 ⇒ subtract 12 from both sides

∴ 3x = -2x - 10 ⇒ add 2x to both sides

∴ 5x = -10 ⇒ divide both sides by 5

∴ x = -2

* The x coordinate of the solution is -2

CAN ANYBODY FIGURE THIS OUT ​

Answers

Because you are told the two are similar, find the ratio of them.

Side AB = ft and side EF is 25 feet.

This means the larger rectangle is 5 times larger ( 25 /5 = 5).

Area is in square units, so square the ratio: 5^2 = 25

The area of the larger rectangle is 25 times the area of the smaller one.

Area = 35 x 25 = 875 ft^2

forty brackets are made from a strip of metal costing $0.80. What is the direct material cost per item?​

Answers

$0.20 per item/ bracket

Solve the system of equations 6x-5y=15 x=y+3

Answers

Step 1: In the equation 6x - 5y = 15 everytime you see the "x" plug in y+3. This will solve for y

6(y + 3) - 5y = 15

Step 2: Distribute the 6 to all the numbers in the parentheses

6y + 18 - 5y = 15

Step 3: Combine like terms (6y and -5y)

(6y - 5y) + 18 = 15

y + 18 = 15

Step 4: Isolate y by subtracting 18 to both sides

y + (18-18) = 15 -18

y = -3

Step 5: Plug y (-3) into the equation x= y + 3 to solve for x

x = -3 + 3

x = 0

For this system of equations y = -3 and x = 0

Hope this helped!

The solution to the system of equations 6x-5y=15 and x=y+3, using the substitution method, results in x = 0 and y = -3.

To solve the system of equations 6x-5y=15 and x=y+3, we can use the method of substitution since one equation is already solved for one of the variables. First, we replace x in the first equation with the expression from the second equation, (y + 3), resulting in a new equation 6(y + 3) - 5y = 15. Simplifying that gives 6y + 18 - 5y = 15, which simplifies to y = -3. Substituting y = -3 back into the second equation gives x = 0.

Verify the identity.

cos(x+pi/2) = -sinx

Answers

Answer:

see explanation

Step-by-step explanation:

Using the cosine addition identity

cos(x + y) = cosxcosy - sinxsiny

and cos([tex]\frac{\pi }{2}[/tex]) = 0, sin([tex]\frac{\pi }{2}[/tex]) = 1

cos(x + [tex]\frac{\pi }{2}[/tex])

= cosxcos([tex]\frac{\pi }{2}[/tex]) - sinxsin([tex]\frac{\pi }{2}[/tex])

= cosx × 0 - sinx × 1

= 0 - sinx

= - sinx

Multiply.
(d-8)(d+8)
Simplify your answer.​

Answers

Answer:

d^2 - 64

Step-by-step explanation:

This is the difference of squares. The middle 2 terms cancel out.

d^2 - 8d + 8d - 8*8

d^2 - 64

FOIL

FIRST

OUTSIDE

INSIDE

LAST

First:

(d-8)(d+8)

d * d

[tex]d^{2}[/tex]

Outside:

(d-8)(d+8)

d * 8

8d

Inside:

(d-8)(d+8)

-8 * d

-8d

Last:

(d-8)(d+8)

-8 * 8

-64

so...

d^2 + 8d + (-8d) + (-64)

d^2 - 64

Hope this helped!

The average cricket jumps vertically with an initial upward of 10 ft/s. What is the hang time of such a jump, ignoring air resistance? Use the formula h=-16t^2+10t, where h is the height of the cricket in feet and t is the time in seconds after the jump. Round your answer to the nearest tenth.

Answers

Answer:

The hang time is 0.63 seconds

Step-by-step explanation:

We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.

The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..

[tex]h=-16t^2+10t\\\\-16t^2 +10t=0\\\\\\[/tex]

We take t as a common factor

[tex]-16t^2 +10t=0\\\\t(10-16t)=0[/tex]

Then the height is zero when t = 0 and when (10-16t) = 0

[tex]t=0[/tex]

[tex]10-16t= 0[/tex]

[tex]10 = 16t[/tex]

[tex]t=\frac{10}{16}\\\\t= 0.63\ sec[/tex]

At t = 0 seconds the cricket is still on the ground.

Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground

Complete the square:

[tex]-16t^2+10t=-16\left(t^2-\dfrac58t\right)=-16\left(t^2-\dfrac58t+\dfrac{25}{256}-\dfrac{25}{256}\right)=-16\left(t-\dfrac5{16}\right)^2+\dfrac{25}{16}[/tex]

That is, [tex]h(t)[/tex] has a maximum value of [tex]\dfrac{25}{16}\approx1.6[/tex] ft when [tex]t=\dfrac5{16}\approx0.3[/tex] s. It takes the cricket twice as much time to jump up to its maximum height and return to the ground, so that the hang time is about 0.6 s.

Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d

Answers

Answer:

x³ + 4 x² + x - 6

Step-by-step explanation:

( x - 1 ) ( x + 2 ) ( x + 3 )

( x - 1 ) ( x + 2 ) = x² + 2 x - 1 x - 2 = x² + x - 2

( x² + x - 2 ) ( x + 3 ) = x³ + 3 x² + x² + 3 x - 2 x - 6 = x³ + 4 x² + x - 6

The expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

= (x-1)(x+2)(x+3)

After multiplying first and second terms:

[tex]\rm =\left(x^2+x-2\right)\left(x+3\right)[/tex]

Again multiplying:

[tex]\rm =x^3+4x^2+x-6[/tex]

Thus, the expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

I want to paint all three walls of the kitchen. One was a half cylinder. I want to paint the walls only not the ceiling. The walls are 9-foot high how many square feet will I be painting round to the nearest tenth ​

Answers

Answer:

[tex]490.9\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area is equal to

[tex]A=10(h)+2\pi r(h)+10(h)[/tex]

we have

[tex]h=9\ ft[/tex]

[tex]r=5.5\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]A=10(9)+2(3.14)(5.5)(9)+10(9)[/tex]

[tex]A=490.9\ ft^{2}[/tex]

Other Questions
Given: OC = 1/2 OD DC is a tangent line Find: mDAC find the volume of a cube with the length of each side is 6 cmon which of the following is the quotient of the rational expressions shown below?x-4/2x^22x+3/x+4 Describe the occurrence of monsoons in southern China. A health care worker needs to know the last time a patient ate. He or she sees the patient's spouse so he or she asks the spouse the question and records the information in the chart. This is an example of a. Effective communication because the worker immediately recorded the resultsb. Ineffective communication because the health care worker did not give the spouse enough time to ask questions and explainC. Effective communication because he or she received and answer in a timely mannerd. Ineffective communication because he or she did not go directly to the source What attracts attention and adds spatial depth to a two-dimensional design. Handel spent the major portion of his life inA. Germany.B. England.C. Italy.D. Ireland. My computer teacher was telling us that the dark web is not a safe place to visit. Is that true? When did the military develop video game-style simulations to help train military personnel? 1980s 1990s 2000s 2010s We intend to begin on the first of February unrestricted submarine warfare. We shall endeavor in spite of this to keep the United States of America neutral. In the event of this not succeeding, we make Mexico a proposal of alliance on the following basis: make war together, make peace together, generous financial support and an understanding on our part that Mexico is to reconquer the lost territory in Texas, New Mexico, and Arizona. -Zimmermann Telegram, 1917A. It led President Wilson to issue a proclamation reinforcing U.S. neutrality. B. It influenced President Wilson to order attacks on German merchant ships. C. It appealed to Mexicans and caused Mexico to join the war as a German ally. D. It engaged Americans and generated U.S. popular support for the declaration of war. 1. What is the main issue being addressed by the political cartoon #1? A. Rising cost of smartphonesB. Many voters appear uninformedC. Voter fraudD. Too many people don't vote2. What is the "irony of the information age" addressed in the political cartoon?A. The number of people owning smartphones had gone up dramatically, while the price of smartphones has also risen fast.B. The number of voting has increased at the same rate as the number of people owning smartphones.C. As the number of people owning smartphones has increased so has the number of low informed voters.D. Many more people own smartphones, yet they are not voting.3. Often times there is a lot going on in a political cartoon. There may not be many words, but there are often many symbols. Political cartoons should leave you with some questions about issues and symbols in the cartoon. Based on the political cartoon, please write a meaningful question that could be used to fuller understand the problem in the cartoon #1. Questions should be directly related to the cartoon and should be open-ended (cannot be answered yes or no). HR activities are exclusively carried out by an HR specialist in small organizations. T/F French!!!-----------------------Decide if the following sentence is grammatically CORRECT or INCORRECTIl y a un ours dans la cuisine.CorrectIncorrectFill in the blank with the correct partitive article. Je veux ______ eau s'il te plat.dude l'd'de laChoose the best translation of the following sentence. There is no computer on this desk.Il n'y a d'ordinateur sur ce bureau.Il n'y a pas d'ordinateur sur ce bureau.Il y n'a pas d'ordinateur sur ce bureau.Il y a pas d'ordinateur sur ce bureau.Decide if the following sentence is grammatically CORRECT or INCORRECT.Pauline a vendu toutes les cerises qu'elle a cueillies. CorrectIncorrectFill in the blank with the correct form of the adjective.Wes est un _____ garon.vilainvilainevilainsvilaines Abby has chosen to introduce her analysis of the setting of To Kill a Mockingbird through visual media and has found a website with photos of an advertisement for talcum powder from 1929 in her presentation. The website includes the following caution:All rights reserved. Copyright Cribtoys Closet Original work and images of original work are the property of CribtoysCloset.com and may not be used without permission. January 2002Which of the following would MOST accurately cite the source?Ask for permission to purchase a sample of the copyrighted material through the website.Seek permission to copy a photo by contacting the property owner through the website.Purchase the original product and photograph it for use in her oral presentation.Use a currently sold version of the product and describe the original to her audience. Generally, which of the three families of elements (metals, nonmetals, or inert gases) has the least tendency to form ionic bonds? Pick the correct match.cellulose: phospholipids and protein: gives strength to cell: selective membrane: What was the Exodus of 1879?Blacks left the South for the western frontier.Blacks left the South for Liberia.Carpetbaggers left the South for the Northern cities. Solve the equation x^2=64 for x A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (3, 1), (1, 1), and (1, 2). What is the perimeter of the triangle? From 1870 to 1915, how many immigrants came to North America?100,0003 million20 million35 million Steam Workshop Downloader