How does Algebra act as a tool to improve communication

[tex] \frac{3}{6} = three \: sixths[/tex]

[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3

SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1

Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Therefore, your answer is: x = 1 or x = -5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Angle A=87°

Step-by-step explanation:

(5x-3)°+(4x+21)°=180°

9x°+18°=180°

9x°+18°-18°=180°-18°

9x°=162°

9x°/9°=162°/9°

x=18°

Angle A=(5x18-3)°

(90-3)°

Angle A=87°

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

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Answer:

the 852 is the perfect fit q3

Step-by-step explanation:

The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.

Given data set is,

{852, 687, 515, 986, 907, 784, 967, 685, 965}

Arrange this in ascending order first.

{515, 685, 687, 784, 852, 907, 965, 967, 986}

Minimum value = 515

Maximum value = 986

First we have to find the median or the second quartile.

Second quartile, Q₂ = Middle element of the set

Q₂ = 5th element = 852

First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element

Q₁ = (685 + 687) / 2 = 686

Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element

Q₃ = (965 + 967) / 2 = 966

Hence the five-number summary of this data set are found.

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Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong

Step-by-step explanation:

Answer: Your solution is 34206

Hope this helps you!!!!

Answer:

(N+2)^2+6

Step-by-step explanation:

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

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

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

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The composition of functions f ( g ( 1 ) ) = 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

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Answer:

y = -12

Step-by-step explanation:

-7/3y - 2/9 = 1/3

cross multiple for 1/3:

-21/3y - 6/9 = 1

cross multiply for 3y and 9:

-21 - 6 = 3y + 9

3y + 9 = -27

3y = -36

y = -12

Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)

Calculate Principal Amount, solve for P. P = A / (1 + rt)

Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)

Calculate rate of interest in percent. ...

Calculate time, solve for t

Step-by-step explanation:

b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).

Answer:

D. 0.109

Step-by-step explanation:

Just did the test, its not B

Answer:

Option D is correct

The answer is 42 square unit.

Step-by-step explanation:

Now,

A = ½ (a + b) × h

A = ½ (9 + 12) × 4

A = (21) × 2

A = 42 square unit

Thus, The estimated area of the Trapezoid is 42 square unit.

-TheUnknownScientist 72

Answer:

The mean is 24 ( I think)

Step-by-step explanation:

SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.

The mean of magazines he sold is 24

Answer:

A = 150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.

A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.

Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:

x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶

x = 8.512 × 10⁶

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]

To learn more on direct proportions, we kindly invite to check this verified question: https://brainly.com/question/14389660

Step-by-step explanation:

CLS

INPUT " Enter total marks "; M

IF M > 40 THEN

PRINT "You are passed "

ELSE

PRINT " You are failed "

END IF

END..

Answer:

220

Step-by-step explanation:

first u gotta bla bla bla

Answer:

137°

Step-by-step explanation:

a straight line is 180°

x = 180 - (22 + 21)

x = 180 - 43

x = 137

Answer:

100 mm

Step-by-step explanation:

this right awnser

Answer:

Formula for area of circle (since two semi circles form a full circle);

a = π[tex]r^{2}[/tex]

First, figure out our radius,

D/2 = Radius

10/2 = 5 is our radius.

Plug in your values:

a = π[tex]r^{2}[/tex]

a = 3.14(5^5)

a = 3.14(25)

a = 78.5 is the area of the two semi circles.

Now the square;

A = L x W

A = 10(10)

A = 100.

Add your areas;

78.5 + 100

= 178.5 mm2

Answer:

  f(x) = 5/4x

Step-by-step explanation:

The equation of the line can be found using the 2-point form of the equation of a line:

  y -y1 = (y2 -y1)/(x2 -x1)(x -x1)

This can be rearranged to the desired funtional form.

__

Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...

  y -10 = (5 -10)/(4 -8)(x -8)

  y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify

The equation can be written ...

  f(x) = 5/4x

Answer:

2/4 * 40 4/5 * 5/7 = 102/

7

= 14 4/

7

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

5

= 200/

5

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

4

* 204/

5

= 2 · 204/

4 · 5

= 408/

20

= 102 · 4/

5 · 4

= 102/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

5

.

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

7

= 102/

5

* 5/

7

= 102 · 5/

5 · 7

= 510/

35

= 102 · 5/

7 · 5

= 102/

7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

7

.

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

Let's see

[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]

[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]

[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]

So

[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]

[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]

[tex]\frac{3}{22}[/tex]

Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]

~Learn with lenvy~

Answer:

[tex]\\[/tex]

Step-by-step explanation:

Given that Height of cone shaped roof is 30 ft and radius is 15 ft.

To calculate the lateral surface area and Surface area of the cone we will use the formula given below:

[tex]\\[/tex]

[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]

[tex]\\[/tex]

[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]

[tex]\\[/tex]

Finding the Slant height of the cone:

[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]

[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]

Substituting values in above formula:

[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]

[tex]\\[/tex]

Hence, Lateral surface area of cone is 1580 feet²

Now, Calculating surface area:

[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]

[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]

[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]

[tex]\\[/tex]