A square has an area of 349.69m2.
Work out the perimeter of the square.

Step-by-step explanation:

Given equation, 2x

3

+3x

2

+3x+1=0

⟹2x

3

+2x

2

+x

2

+2x+x+1=0⟹(2x+1)(x

2

+x+1)=0

Solving the 2 equations, we have x=

2

−1

,

2

−1±

3

i

Answer:

y( y^2+1+2y+2)

Step-by-step explanation:

taking common of all

Answer:

i think BC = 8.5

Step-by-step explanation:

19-(2+6.5+2)

19-10.5

8.5

Answer:

The line y = 1/4x −3 and the half-plane lying above it.

Step-by-step explanation:

I attached the work to your problem. Please see the attachment.

Answer:

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

Step-by-step explanation:

Simplify the following:

-(2 x^2 - 3 x^3 + 1) - x^3 + 4 x + 3

Factor -1 out of -3 x^3 + 2 x^2 + 1:

--(3 x^3 - 2 x^2 - 1) - x^3 + 4 x + 3

(-1)^2 = 1:

3 x^3 - 2 x^2 - 1 - x^3 + 4 x + 3

Grouping like terms, 3 x^3 - x^3 - 2 x^2 + 4 x - 1 + 3 = (-x^3 + 3 x^3) - 2 x^2 + 4 x + (3 - 1):

(-x^3 + 3 x^3) - 2 x^2 + 4 x + (3 - 1)

3 x^3 - x^3 = 2 x^3:

2 x^3 - 2 x^2 + 4 x + (3 - 1)

3 - 1 = 2:

2 x^3 - 2 x^2 + 4 x + 2

Factor 2 out of 2 x^3 - 2 x^2 + 4 x + 2:

Answer: 2 (x^3 - x^2 + 2 x + 1)

Answer:

Step-by-step explanation:

4x - x^3 + 3 - 2x^2 + 3x^3 - 1

2x^3 - 2x^2 + 4x + 2 is the solution

Answer:

Heloo

Step-by-step explanation:

Simplifying

3x + 21 = 6x + -60

Reorder the terms:

21 + 3x = 6x + -60

Reorder the terms:

21 + 3x = -60 + 6x

Solving

21 + 3x = -60 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

21 + 3x + -6x = -60 + 6x + -6x

Combine like terms: 3x + -6x = -3x

21 + -3x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0

21 + -3x = -60 + 0

21 + -3x = -60

Add '-21' to each side of the equation.

21 + -21 + -3x = -60 + -21

Combine like terms: 21 + -21 = 0

0 + -3x = -60 + -21

-3x = -60 + -21

Combine like terms: -60 + -21 = -81

-3x = -81

Divide each side by '-3'.

x = 27

Simplifying

x = 27

Answer:

Step-by-step explanation:

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

a. The equation whose roots are 1/a and 1/b is:

x² - [(-3 + √33) + (-3 - √33)]x + [(3 + √33)(3 - √33)]/4 = 0

b.  The evaluation of 1/a + 1/b is:

4(3 - √33) + 3(3 + √33) = 24 - 4√33 + 9 + 3√33 = 33

This  is used to solve for the roots of a quadratic equation, which is an equation in the form of ax² + bx + c = 0.

A) The equation whose roots are 1/a and 1/B can be found by using the quadratic formula.

The general form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

We can substitute the values of a, b, and c into the equation to get: 2x²- 3x - 6 = 0.

To solve this equation, we can use the quadratic formula, which is: x = [-b ± √(b2-4ac)]/2a.

In this equation, a = 2, b = -3, and c = -6. Therefore, the equation becomes:

x = [-(-3) ± √((-3)2-4(2)(-6))]/2(2)

x = [3 ± √(9+24)]/4

x = [3 ± √33]/4

Therefore, the roots of the equation 2x2 - 3x - 6 = 0 are:

a = (3 + √33)/4

b = (3 - √33)/4

To find the equation whose roots are 1/a and 1/b, we can first rearrange the roots to make them the subject of the equation.

The rearranged roots are:

a = 1/(3 + √33)

b = 1/(3 - √33)

We can then substitute these values into the general form of a quadratic equation, which is ax² + bx + c = 0.

In this equation, a = 1, b = -(3 + √33) + (3 - √33) and c = [(3 + √33)(3 - √33)]/4.Therefore, the equation whose roots are 1/a and 1/b is:

x² - [(-3 + √33) + (-3 - √33)]x + [(3 + √33)(3 - √33)]/4 = 0

B) To evaluate 1/a + 1/b, we can first substitute the values of a and b into the equation. The values of a and b are:

a = (3 + √33)/4

b = (3 - √33)/4

Therefore, 1/a + 1/b becomes:

1/[(3 + √33)/4] + 1/[(3 - √33)/4]

We can then simplify this equation by multiplying the numerator and denominator of the first fraction by 4, and the numerator and denominator of the second fraction by 3.

The resulting equation is:

4(3 - √33) + 3(3 + √33)

Therefore, the evaluation of 1/a + 1/b is:

4(3 - √33) + 3(3 + √33) = 24 - 4√33 + 9 + 3√33 = 33

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Answer:

the answer is true because it tells you why the statements Is that

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

12, sorry if I'm wrong

Step-by-step explanation:

hope it helps

Answer:

Both are correct

Step-by-step explanation:

Tan = Opposite / Adjacent

Tan A = 3/4....... therefore she is correct

Tan C = 4/3........therefore she is also correct

After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

Answer:

92 inches squared

Step-by-step explanation:

T/P = 8 * 3

L/R = 3 * 2

F/B = 8 * 2

Solving for surface area!

2(24) + 2(6) + 2(16) = 92

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

s = 1

Step-by-step explanation:

original equation: 3(s + 1) = 6

distribute: 3s + 3 = 6

isolate the variable: 3s + 3 = 6

                                        -3    -3

your new equation: 3s = 3

Divide to cancel out the integer: 3s/3s = 3/3s

Your answer is: s = 1

hope this helps :)

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

16/5=7

Step-by-step explanation:

Answer:

\(y=\frac{3}{4}x^2\)

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

\(y=a(x-h)^2+k\) where the vertex is \((h,k)\)

Plug in the vertex (0,0)

\(y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2\)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

\(3=a(-2)^2\\3=4a\\\frac{3}{4} =a\)

Therefore, the value of a is \(\frac{3}{4}\). Plug this back into \(y=ax^2\):

\(y=\frac{3}{4}x^2\)

I hope this helps!

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5 (use the slope formula)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

Answer:

Step-by-step explanation: -3/2 divided by 9/6

= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1

Hope this helps lol

The simplified result is -1. The correct option is b.

Given that:

Expression, -3/2 ÷ 9/6

To solve the given expression, follow as:

Rewrite the division as multiplication by the reciprocal of the second fraction.

-3/2 ÷ 9/6 = -3/2 × (6/9)

Now, simplify the fractions:

-3/2 × (6/9) = -3/2 × (2/3)

-3/2 × (6/9) = - (3 × 2)/(2 × 3)

-3/2 × (6/9) = -6/6

Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:

-6/6 = -1

So, the simplified result is -1. The correct option is b.

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Complete question:

Simplify Negative 3 over 2 divided by 9 over 6.

a. −4

b. −1

c. 4

d. 1

Answer:

b

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

depending on the question but it's most likely 103

Step-by-step explanation:

The ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is 204 : 1505.

A ratiο is a way οf cοmparing twο quantities by expressing the relatiοnship between them in terms οf their relative sizes. It is usually written in the fοrm οf a fractiοn οr using a cοlοn (:).

The tοtal number οf bοοks in the library is:

12345 + 7842 + 32178 + 7116 = 59481

The tοtal number οf bοοks in languages οther than English, French, and Arabic is:

7116

The ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is:

7116 : (59481 - 7116) = 7116 : 52365

Simplifying this ratiο by dividing bοth numbers by their greatest cοmmοn factοr gives:

7116 : 52365 = 204 : 1505

Therefοre, the ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is 204 : 1505.

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