We need to find the value for x using the inverse operation:

Then:

[tex]\begin{gathered} 7-x=84 \\ \end{gathered}[/tex]Let us solve for x:

The x is subtracting, so it will add up to the other side:

[tex]7=84+x[/tex]Now, the 84 is positive, so it will be negative on the other side:

[tex]\begin{gathered} 7-84=x \\ x=-77 \end{gathered}[/tex]Hence, **the solution for x is -77**.

counselor at a summer camp are assigned beds to the campers Jackson is assign a bed and then Eva is assigned one are these two events dependent or independent

**Solution;**

**The events are independent**

If g(x)=5x, h(x)=√x, find the composition.

(g . h)(0)

( g . h ) ( 0 ) = _____

The **value **of the **composition** (g . h)(0) is 0

A **function** can be defined as a mathematical law, expression of rule that explains the **relationship** between two variables in an equation.

These variables are;

The independent variableThe dependent variableThe functions are;

g(x) = 5xh(x) = √xThe composite function is gotten by substituting the value of x of the independent variable in the function.

The composite function (g . h)(0) is determined by substituting the value of x as h(x) in the function g(x), we get;

(g . h) = 5√x

Now, substitute the value of x as 0, we have;

(g . h)(0) = 5√0

Find the square root

(g . h)(0) = 5(0)

Find the product

(g . h)(0) = 0

Hence, the **value**** **is 0

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help me with geometry proof, pls I did really bad on this homework and I need help, This is what I hard:State. Just.segment AB ll DC; Given

**Answer:**

Triangle ABC is congruent to DCE by SAS Theorem.

**Step-by-step explanation:**

Since AB is parallel to DC, we can say that BC is congruent to CE and AC is congruent to DE, then:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangle is congruent.

Triangle ABC is congruent to DCE by SAS Theorem.

if you could give me the answer without explantion i would be happy to leave a good review

Answer:

The coordinates of the fourth side are (6, -8)

Explanation:Let the coordinate of the fourth side be (x, y)

The diagonals of a parallelogram bisect eachother, so the midpoint of (-3, -2) and (x, y) is equal to the midpoint of (4, -4) and (-1, -6)

[tex]\begin{gathered} (\frac{x-3}{2},\frac{y-2}{2})=(\frac{4-1}{2},\frac{-6-4}{2}) \\ \\ (\frac{x-3}{2},\frac{y-2}{2})=(\frac{3}{2},-5) \\ \\ \frac{x-3}{2}=\frac{3}{2}\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ \\ \frac{y-2}{2}=-5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(2) \end{gathered}[/tex]Solving these equations:

x - 3 = 3

x = 3 + 3 = 6

and

y - 2 = -10

y = -10 + 2 = -8

The coordinates are (6, -8)

Graph the line y= 3x - 5 using the slope and y-intercept.

Step-by-Step Solution

Step 1: Identify the slope and y-intercept of the line.

y = 3x-5

The slope is m = 1.

(Type an integer or a fraction.)

The required **slope **m is 3 and the **y-intercept **is - 5.

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

· The y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Given : The line y = 3x - 5

This is of the form y = mx + c which is the equation of the line.

On comparing these two equations

Thus the** slope** is 3 .

And** y intercept** is :

y = 3x - 5 and when x = 0

y =- 5.

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x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6 3 7 What are the vertex and range of the function?

The **vertex **is the **turning** **point **of a function while the **range **is the **interval **of the value of the **function** thus **vertex **of the given **function **is at (-4,0) while the **range **is [0,6].

A function's **range **is the set of all values that the function **accepts**, and its domain is the **set **of all **values** for which the **function **is defined.

The **domain** is for the independent variable while the **range **is for the dependent **variable**.

As per the given function,

x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6

The **graph** of this **function **has been **plotted **below,

The **vertex** is the point where the function is **changing **its **sign** of **slope **or turning point.

It is clear that at (-4,0) it is changing its **slope** of **sign **therefore (-4,0) will be the vertex.

The **range** is the interval where the **function exists **since the given function goes from y = 0 to y = 6 so [0,6] will be the **range **of the **function**.

Hence "The **vertex **is the **turning** **point **of a function while the **range **is the **interval **of the value of the **function** thus **vertex **of the given **function **is at (-4,0) while the **range **is [0,6]".

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Summary

Give an example of a proportional relationship and write an equation that represents the relationship.

The ** proportional relationship** is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does

Relationships between two variables that are **proportional **occur when their ratios are equal.

Therefore the ** proportional relationship** is represented by the formula,

y = kx .

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Solve the equation for all complex and real solutions. Use potential zeros and synthetic division[tex]5x^4+7x^3+119x^2+175x-150=0[/tex]

**Answer: the complex solutions are:**

**Step-by-step explanation: x = 5i , -5i , 3/5 ,-2**

Find the four terms of the arithmetic sequence given the 13th term (a_{13}=-60) and the thirty third term (a_{33}=-160).Given terms: a_{13}=-60 and a_{33}= -160Find these terms:a_{14}= Answera_{15}= Answera_{16}= Answera_{17}= Answer

**Given:**

13th term = -60

33rd term = -160

**Find:**

14th, 15th, 16th, and 17th term

**Solution:**

For us to determine the 14 - 17th term, we need to identify the common difference in this arithmetic sequence. The formula is:

[tex]\frac{a_{33}-a_{13}}{33-13}[/tex]Let's plug in the values of a₃₃ and a₁₃ in the formula above.

[tex]\frac{-160-(-60)}{33-13}[/tex]Then, solve.

[tex]\frac{-100}{20}=-5[/tex]*Hence, the common difference between the terms is -5.*

**So, the next 4 terms after a₁₃ are shown below:**

pls help. this is so confusing on how to find the p=S(t)=r+i part of the word problem.

Using a **linear **function, it is found that:

**a)** Sales are **increasing **at a constant **rate **of 30 purchases/month.

**b)** The** linear function** is: p = S(t) = 30t + 3990.

**c) **The total **purchases **will be of 5130 in **June 2010**.

**d) **The **sales **will be of 5400 in **March of 2011.**

A linear function, in **slope-intercept **format, is modeled according to the following rule:

y = mx + b

In which:

The coefficientFor this problem, we have that:

The reference month is of April 2007, hence theThe slope of 30 is the **constant rate** of purchases per month, and the **linear function **is given by:

p = S(t) = 30t + 3990.

**June 2010 **is 3 x 12 + 2 = 38 months after April 2007, hence the **purchases **will be of:

S(38) = 30 x 38 + 3990 = 5130.

The sales will be of 5400 in t months after April 2007, for which:

S(t) = 5400

Hence:

30t + 3990 = 5400

t = (5400 - 3990)/30

t = 47 months.

One month shy of four year, hence in **March of 2011.**

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Hello, I need some assistance with this homework question please for precalculusHW Q30

**EXPLANATION**

Since the degree is 6, the polynomial has 6 zeros:

Then, using the Complex Root Theorem, since the polynomial has 2 complex roots, thus the conjugate of 5 + i is 5 - i, and the conjugate of 7 - i is 7 + i:

In conclusion, the remaining zeros are: **5 - i, 7 + i **

Can anyone answer this

**Answer:**

add the number of sides then divide the number by the number of sides

Solve for n in the proportion 7/3 = n/21.

given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer

Larry and his brother wanted to put new carpet down in threerooms in his house. The three rooms measured 10' x 12, 13' x 15,and 12' x 12'. If the carpet Larry wants to use is $25.56 a sq. yd.and the roll of padding is $99 for a 30 sq.yd. roll, answer thefollowing questions. Remember that 1 square yard = 9 square feet.1. Total square footage to be covered with carpeting would besquare feet.2. How many square yards would that be?sq.yd.3. Based on the price of $25.56 a sq.yd., what would the total costbe for the carpeting? $4. To make sure Larry has enough padding, how many rolls wouldhe have to buy?What would that cost? $5. What would the total cost of the carpeting job be includingcarpet and padding? $

Part 1)**Part 3)****Part 4)**

Find the area of each room and then add the three areas.

[tex]\begin{gathered} 10\times12=120 \\ 13\times15=195 \\ 12\times12=144 \\ \\ 120+195+144=459 \end{gathered}[/tex]The total square footage to be covered is **459**.

Since each square yard has 9 square feet, divide the square footage by 9 to find how many yards is that equal to:

[tex]\frac{459}{9}=51[/tex]Then, the area is equal to **51 square yards**.

The cost for each square yard is $25.56. Multiply that amount by 51 to find the total cost:

[tex]25.56\times51=1303.56[/tex]The total cost for the carpeting is **$1303.56**.

Each roll of padding has 30 square yards. Since 51 yards must be covered, and two rolls would yield 60 square yards, then, the minimum amount of rolls needed is **2**.

The cost for **2** rolls would be 2*$99 = **$198.**

Add the cost of the two rolls of padding and the carpeting job to find the total cost:

[tex]\text{ \$}198+\text{ \$}1303.56=\text{ \$}1501.56[/tex]Then, the total cost of the carpeting job including the carpet and padding would be **$1501.56**.

**Therefore, the answers are:**

**Part 1) 459 square feet.**

**Part 2) 51 square yards.**

**Part 3) $1303.56**

**Part 4) 2 rolls for $198**

**Part 5) $1501.56**

identify the set of numbers that best describes each situation explain your choice. 9. the amount of money in a bank account

The sets of the real numbers are

Whole numbers

Integers

Rational numbers

Irrational numbers

The whole numbers mean positive integers with zero

The integers mean positive , negative whole numbers, and zero

Rational numbers mean

Find a point N on the segment with endpoints K(-2, -3) and L(4,3) that partitions thesegment, starting at point K, 1/3 of the way to point L.

First find the length of the segment KL

Apply the formula for distance between two points as;

d = √{y2-y1}^2 + {x2-x1}^2 where

y1= -3 , y2 = 3 , x1 = -2 and x2 = 4

d= √ {3--3}^2 + { 4--2}^2

d= √ 9^2 + 6^2

d= √ 81 + 12

d= √93 = 9.6

So the length of the segment is 9.6

From point K {-2, -3} , find 1/3 of the length to locate point L

This will be : 1/3 * 9.6 =3.2

This means point L is 3.2 units from point K, now apply the distance formula to find x and y coordinates for L, where K is {-2,-3} and L {x,y}

d = √{y2-y1}^2 + {x2-x1}^2

3.2 = √{y--3}^2 + {x--2}^2

3.2 =√ {y+3}^2 +{x+2}^2

3.2^2 = {y+3}^2 + {x+2}^2

10.3 = y^2 + 6y + 9 + x^2 +4x +4

10.3 = y^2 + 6y +x^2 +4x +9+4

10.3 = y^2 + 6y +x^2 +4x +13

0=y^2 +6y +x^2 +4x +13-10.3

0= y^2 +6y +x^2 +4x +2.7

y^2 + 6y +x^2 +4x +2.7 = 0

**{-0.9,-0.5)**

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he

has 3 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many

chairs does Liam have?

Liam has

chairs.

The most appropriate choice for **linear equation** will be given by-

Liam have 43 chairs

**What is linear equation?**

At first, we need to know the meaning of **algebraic expressions.**

**Algebraic expressions** consists of **numbers **and **variables** connected with **addition,subtraction, multiplication and division sign.**

**Equation** shows the **equality **between **two algebraic expressions** by connecting the two **algebraic expressions** with an **equal to sign**

A **one degree equation** is known as **linear equation.**

Let the number of chairs in one row be x

Number of chairs in 8 rows = 8x

3 chairs are left

Total number of chairs = 8x + 3

Number of chairs in 6 rows = 6x

13 chairs are left

Total number of chairs = 6x + 13

By the problem,

[tex]8x+3=6x+13\\8x-6x=13=3\\2x=10\\x=\frac{10}{2}\\x=5[/tex]

Number of chairs Liam has =

[tex]6\times 5 + 13\\30+13\\43[/tex]

Liam has 43 chairs

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I will show you the pic

The general form of a linear equation is given by:

**y = kx**

where k is a constant.

From the given options you can notice that the only equation similar to the previous one is:

**y = 1/6 x**

**Then, the previous equation is the linear equation.**

let k(x)=3h(x)+4x^4/g(x). given the following table of values, find k'(-1)

k(x)=3h(x)+4x^4/g(x). given the following table of **values**, k'(-1) will be 3.

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable in mathematics. A crucial calculus technique is the derivative. the procedure for determining a function's derivative, or rate of change, in mathematics. **Differentiation** is the method used to calculate a function's derivative. The derivative is the rate at which two variables, x and y, change relative to one another.

Given Data

k(x) = -3h(x) + [tex]\frac{4x^{4} }{g(x)}[/tex]

k(x) = -3h'(x) + 4[tex]\frac{4x^{3} g(x)- x^{4}g'(x) }{gx^{2} }[/tex]

k'(-1) = -3h'(-1) + 4 [tex]\frac{4g(-1)-g(-1)}{g(-1)^{2} }[/tex]

k'(-1) = -3(-1) + 4(0)

k(-1) = 3 + 0

k'(-1) = 3

k(x)=3h(x)+4x^4/g(x). given the following table of **values**, k'(-1) will be 3.

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S

SOLUTION

Mr. McClary writes the equation 3(3x - 10) = 5(x + 10). The equation shows

the relationship between the perimeter of an equilateral triangle and the

perimeter of a regular pentagon. What is the perimeter of the pentagon?

A 20

B 50

C 100

D 150

Nikia chose A as the correct answer. How might she have gotten that answer?

The **perimeter of pentagon** is** 150** so** option D** is correct**.**

Given:

Mr. McClary writes the **equation **3(3x - 10) = 5(x + 10). The equation shows the relationship between the perimeter of an **equilateral triangle **and the perimeter of a regular pentagon.

3(3x-10) = 5(x+10)

9x - 30 = 5x + 50

9x - 5x = 30 + 50

4x = 80

divide by 4 on both sides

4x/4 = 80/4

x = 80/4

x = 20.

perimeter of pentagon = 5(x+10)

= 5(20+10)

= 5*30

= 150.

Therefore the perimeter of pentagon is** 150 **so **option D** is correct.

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Ron's Tea Shop has caffeinated tea and decaffeinated tea. During the lunchtime rush, the tea shop served 25 teas in all, 20% of which were caffeinated. How many caffeinated teas did the tea shop serve?

The number of **caffeinated** teas that the tea shop serve is 5.

Number of **teas** served = 25 teas.

Percentage that was **caffeinated.=** 20%

Therefore the number that was caffeinated will be the percentage **multiplied** by the number of teas. This will be:

= 20% × 25

= 0.2 × 25

= 5

Therefore, 5 are **caffeinated**

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Here is a vertical algorithm that we can use to find 60.19 – 47.52.Which place value column(s) will require regrouping?Please see image below.

Regrouping happens when we need to "borrow" value from the higher order digits to perform a subtraction properly. This happens on the tenths, because we need to subtract 5 from 1, which we can't do normally. So we need to regroup from the ones and tens, in order to solve the problem. **The correct answer is B.**

how much bags of fertilizer will brett need to cover the entire garden.

Area A = ?

Bag area covers = 54 ft2

Square Area S = 18ft X 18 ft

. = 324 ft2

Then now divide S/B

S/B = 324/54

. = 36/6

. = 6

Then answer is

Brett will need 6 bags of fertilizer

A triangle is placed in a semicircle with a radius of , as shown below. Find the area of the shaded region.Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.

**Solution:**

Given the figure below:

The area of the shaded region is expressed as

[tex]area\text{ of shaded region = area of semicircle - area of triangle}[/tex]step 1: Evaluate the area of the semicircle.

The area of the semicircle is expressed as

[tex]\begin{gathered} area\text{ of semicircle=}\frac{1}{2}\times\pi r^2 \\ where\text{ r is the radius of the circle} \end{gathered}[/tex]Thus, we have

[tex]\begin{gathered} area\text{ of semicircle = }\frac{1}{2}\times3.14\times4cm\times4cm \\ \Rightarrow area\text{ of semicircle =25.12 cm}^2 \end{gathered}[/tex]step 2: Evaluate the area of the triangle.

The area of the triangle is expressed as

[tex]\begin{gathered} area\text{ of triangle =}\frac{1}{2}\times base\times height \\ thus,\text{ we have} \\ area\text{ of triangle =}\frac{1}{2}\times8cm\times4cm \\ =16\text{ cm}^2 \end{gathered}[/tex]step 3: Evaluate the area of the shaded region.

Recall that

[tex]\begin{gathered} area\text{ of shaded reg}\imaginaryI\text{on = area of sem}\imaginaryI\text{c}\imaginaryI\text{rcle- area of tr}\imaginaryI\text{angle} \\ \end{gathered}[/tex]Thus, we have

[tex]\begin{gathered} area\text{ of shaded region = \lparen25.12 -16\rparen cm}^2 \\ =9.12\text{ cm}^2 \end{gathered}[/tex]**Hence, the area of the shaded region is**

Which graph correctly represents ? 1/5y - 1/2x > 2

A **graph** which represents the solution to this **inequality** is shown in the image attached below.

An **inequality** can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

Next, we would evaluate and simplify the given **inequality** in order to determine the **graph** which represent its solution as follows:

1/5y - 1/2x > 2

Subtracting 2 both sides, we have:

1/5y - 1/2x - 2 > 2 - 2

1/5y - 1/2x - 2 > 0

(2y - 5x - 20)/10 > 0

2y - 5x - 20 > 0

2y > 5x + 20

Dividing both sides by 2, we have:

y > 5x/2 + 10

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Lily is making kool-aid. She uses 1/4 cup of sugar for every 2/3 cups of kool-aid. how 4many cups of sugar does she need to make 4 cups of kool aid. HELP PLS

Lily needs 3/2 **cup **of **sugar **to make 4 cups of **kool**-**aid**.

The **ratio **is defined as a relationship between two quantities, it is expressed as one **divided **by the other.

Lily is making kool-aid. She uses 1/4 **cup** of **sugar **for every 2/3 cup of **kool**-**aid **which is given in the question.

We have to determine the **number **of **cups **of **sugar **she needs to make 4 cups of kool-aid.

Let the number of cups of sugar would be x she needs to make 4 cups of **kool**-**aid**.

As per the given information, we can write the **ratio **as:

1/4 cup of sugar : 2/3 cup of kool-aid = x cup of sugar : 4 cup of kool-aid

⇒ 1/4 ÷ 2/3 = x ÷ 4

⇒ (1/4) / (2/3) = x / 4

⇒ (1/4) × (3/2) = x / 4

⇒ 3/8= x / 4

⇒ x = (3 × 4)/8

⇒ x = 12/8

⇒ x = 3/2

Therefore, she needs 3/2 **cups **of **sugar **to make 4 cups of **kool**-**aid**.

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please answer this using the foil method[tex] {9x}^{2} + 60x + 100[/tex]

**Answer**

Given expression

[tex]9x^2+60x+100[/tex]By factorization, we have

[tex]\begin{gathered} 9x^2+30x+30x+100 \\ 3x(3x+10)+10(3x+10) \\ (3x+10)(3x+10) \end{gathered}[/tex]Now to check, using **FOIL method,** we have

F = First, i.e 3x(3x) = 9x²

O = Outer = 3x(+10) = +30x

I = Inner = +10(3x) = +30x

L = Last = +10(+10) = +100

Round 0.4275 to the nearest thousand

we have

0.4275

if we round to the nearest thousand, we look at the third digit of our number

0.42**75**

**do you know the answer now?**

**0.42 is not correct**

** and only 2 decimals will be rounded to the nearest hundreth**

**becuase we have a 5 after 7, the number will be rounded up**

**0.428**

**this is the answer**

if we would have for example

0.3521

the rounded to the nearest thousand would be 0.352

What is the congruence correspondence, if any, that

will prove the given triangles congruent?

A) ASA

B)SAS

C) SSS

D) none

**Answer:**

A) ASA

**Step-by-step explanation:**

You want to know the relevant **congruence postulate** given the **markings** of **angles and sides** shown in the **diagram**.

The arc and hash marks show on the angles mean the angles with matching markings are congruent. Two angles are shown as congruent to their corresponding angles in the other triangle.

The hash mark on the sides mean the sides with matching markings are congruent. One side between the marked angles is shown as congruent to the corresponding side in the other triangle.

The letters A and S in the congruence postulate designations refer to corresponding Angles and Sides, respectively. So, two angles with a side between them would be identified as ASA.

**The ASA congruence postulate applies**.

Option A) ASA is the correct answer for the given triangle in the question. ASA is the **congruence correspondence**.

**What is congruence correspondence?**

Each triangle's vertices must match one another exactly. This expression signifies that each triangle's side and angle measurements match up with a side or angle of the other triangle. To have a one-to-one **correspondence**, triangles don't necessarily have to be **congruent**, but when they are, knowing the **correspondence **of the triangles is important to determine precisely which sides and which angles are **congruent**.

According to **congruence postulate**,

Angles with matching markings are **congruent **if an arc or hash mark appears on them. The relationship between two angles and the **corresponding angles **in the other triangle is demonstrated.

The hash marks on the sides indicate that the markings on the sides that match are consistent. The opposite triangle's equivalent side is shown to be **congruent **to the side between the highlighted angles.

The **congruence postulate **designations begin with the letters A and S, which stand for matching Angles and Sides, respectively. Therefore, ASA would be used to describe two angles with a side in between them.

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parallel linessolve for x

We have two parralel lines with angles 32x + 4 and 34x - 2

From the figure, the angles are corresponding angles

Corresponding angles are equal

That is,

34x - 2 = 32x + 4

Collect the like terms

34x - 32x = 4 + 2

2x = 6

Divide both sides by 2

2x / 2 = 6 / 2

x = 3

The answer is 3

Sammy is 5 years younger than twice Lizzy's age. Sammy os 15 years old. How old is Lizzy?
if the spot rate of the euro is $1.10 per euro and the 30-day forward rate is $1.00 per euro and you believe that the spot rate in 30 days will be $1.05 per euro, you can maximize speculative gains by:
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Examine graphs A and B. What do you notice about the difference between the Y axis for the good graph A and the Poot graph B? How is a break shown on the Y axis of graph A
How many moles are in a gas sample occupying 0.500L at 170 mmHg and 250C?Group of answer choices0.004570.006002.183.483.85
Benefits of Gaming Video games can aid in building brain functions that are important to learning. People who play video games have increased attention spans and visual recognition because they need these abilities while playing in-depth, strategy-based games. Many of these games take long periods of time to play, thus players must stay focused for longer. Developing focus can aid in learning and is an important trait for all people to have. Problem-solving, something vital for success in school and careers, is another skill that can be developed through gaming. Many games, including action and sports games, require players to solve problems quickly in order to be successful. These skills can be developed through continuous playing of video games. The multiple cognitive actions required by video games, such as those required by strategy-based games, help students develop the ability to multi-task. A recent study also suggests that those with dyslexia have improved reading and brain skills with repeated gaming experiences. With all of these benefits, there are still opponents who believe gaming is negative. Opponents believe that some games promote violence and lead to violent emotions. However, if a parent or guardian spends time discussing any violent images or situations from video games with players, these objections can be overcome. The positive benefits of perseverance and patience can become the focus of video games.3Which sentence would be the best conclusion to the essay? A. These benefits are important and overcome the negative parts of gaming. B. So, even the things people say are bad about gaming can be turned into benefits. C. Perseverance, patience, problem solving and focus are things that will help students do better. D. The lessons learned from gaming can be applied not only in school, but in everyday life as well.
A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolleda. What is the probability of getting an even number?b. What is the probability of getting a factor of 6?
Once a cell completes mitosis, molecular division triggers must be turned off. What happens to mpf during mitosis?.
3x-(2x+10) for x= 7 5/13
I need to write to objective function and the constraints
18.Calcium-49, a radioactive isotope, has a half-life of 9 minutes. If an 80-gram sample of the isotope decays for 27 minutes, how many grams of the original sample remain?Select one:a. 60b. 10c. 40d. 20
How do you think the first transoceanic connectionschanged long-distance trade routes from 1450 to1750? Trace one new trade route on your map andprovide an annotation for why it emerged.
Equation fraction X over 9 equals 7
Find the domain and range of the following graph in interval notation. 5+ 4 3 2 1 -5 4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ a Domain: Range: NOTE: If you do not see an endpoint, assume that the graph continues forever in the same direction. Entry example: [2,3) or (-00,5). Enter -oo for negative infinity and oo for infinity.
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