Please help, i dont understand

The  Weight  of Mary is 80. Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.

Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.

the justifications.

Inquiry 1.

Formula: w = 10 8 pound

Answer: x = 80 lb

Inquiry 2:

Formula: d = 108 lb - 8 pound

d = 72 lb

Explanation:

First of all

When Mary was born, she weighed 8 pounds.

Statement 2: Mary weight 10 times as much when she was 10 years old.

w = 10 8 pounds, or 80 pounds.

Description of the illustration:

She was born weighing 8 pounds, which is represented by each cell. The 10 cells indicate that the number 8 lbs. has been repeated 10 times.

Next, the sum of the multiplication is shortened:

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80.

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A factor is a number that divides another number, leaving no remainder

The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

The correct option is (C).

Given,

The fraction is given as:

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

To find the above fraction which choice is equivalent to the fraction?

Now, According to the question:

Simplify or expand

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

Rationalize the denominator:

[tex]\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }[/tex]

Expand the expression:

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{(\sqrt{x})^2-(\sqrt{x+2} )^2 }[/tex]

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}[/tex]

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}[/tex]

Determine the sign and cross out the common factor:

[tex]\sqrt{x+2}-\sqrt{x}[/tex]

Hence, The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

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Therefore the required polynomial is [tex]f(x) = a(x^5+13x^4+53x^3+83x^2+52x+70)[/tex]

What is an leading coefficient?

The numbers placed in front of the variable with the biggest exponent are known as leading coefficients. They can be whole numbers, fractions, or decimals, as well as positive, negative, real, or imaginary, just like conventional coefficients.

According to fundamental theorem of algebra , if a + bi be a zero of a polynomial with real coefficients then a-bi is also a zero

Now given that f(x) be a polynomial with degree 5 and with zeros -7,-i,-3+i

and f(x) be a polynomial with real coefficients.

therefore by fundamental theorem of algebra

+i and -3-i are also zeros of f(x)

so zeros of f(x) are 7, -i, -3 + i, i, -3 -i

Degree is 5, so there is at most 5 zeros therefore the required polynomial will be

f(x) = a(x + 7)(x + i )(x - i)(x +3- i)(x +3 +i)

= a[(x +7)(x² + 1)(x² +6x + 10)]

[tex]= a\left[x^5+ 13x^4 + 53x^3 +83x^2 + 52x + 70]\right[/tex]

[tex]f(x) = a(x^5+13x^4+53x^3+83x^2+52x+70)[/tex]

Therefore the required polynomial is [tex]f(x) = a(x^5+13x^4+53x^3+83x^2+52x+70)[/tex]

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Answer:

answer should be d

Step-by-step explanation:

it's d because if u fraction 6 u will get d

The value of (2/3) ÷ (1/4) is 8/3 and the value of 7 ÷ (2/3) is 21/2.

This is a question from the division of fractions.

We know the property of fractions is given by:-

(m/n) ÷ (a/b) = (m/n)*(b/a) = mb/na

Hence, we can write,

(2/3) ÷ (1/4) = (2/3) * (4/1) = 2*4/3*1 = 8/3

7 ÷ (2/3) = (7/1)*(3/2) = 7*3/ 1*2 = 21/2

Fractions

A fraction represents a part of a whole or, more generally, any number of equal parts. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

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Answer:

.7 kg

Step-by-step explanation:

1. Convert answers in grams into kilograms

1000g = 1 kg

750g = .75kg

705g = .705 kg

2. Find smallest number of kg

= .7 kg

Answer: -6

Step-by-step explanation:

The scale factor of the drawing that Desmond is illustrating is is 1/125.

A scale factor is the ratio between rte scale of a particular object and the new object.

In this case, Desmond made a scale drawing of a house, the garage is 4 centimeters wide in the drawing and the actual garage is 5 meters wide.

100 centimeters = 1 meters

5 meters = 500 centimeters

Therefore, the scale will be:

= 4 / 500

= 1 / 125

= 1:125

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If each has the same probability of performance. If the system is to have a .92 probability of performing, The minimum probability of performing needed by each of the individual components is: 0.97126.

Given data:

Number of identical component = 3

Probability of performing = .92

Now let determine the probability

Probability =  0.92 ^(1/3)

Probability = 0.92^0.3333

Probability =.9726

Therefore the probability is .9726.

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The range of market return is 15.9% and the mean of market return is 2.94%

Productive Investments Limited provided the returns for Laska stocks for 2017 to 2021.

Year         Laska return

2017         -2.2%

2018          -3.4%

2019         12.5%

2020         -0.8%

2021          8.6%

The range of market return = Highest return - lowest return

= 12.5 - (-3.4)

= 15.9%

mean market return = (-2.2 +(-3.4) + 12.5 +(-0.8) + 8.6)/5

mean market return = 2.94%

Therefore, the range of market return is 15.9% and the mean of market return is 2.94%

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Answer:

-2/3 or -0.6666

Step-by-step explanation:

-3x + 6 = 4 -6x

Let's move the x to one side

-3x +6x=4-6

Combine like terms

3x = -2

Divide both sides by 3

-2/3=x

or -0.666666

Answer:

36

Step-by-step explanation:

substitute m = - 3 into the expression

m² - 7m + 6

= (- 3)² - 7(- 3) + 6

= 9 + 21 + 6

= 36

The equation of the line  in slope-intercept form is y = -x/12 + 23/4

Given that: the line is perpendicular to the line y= 12x−2 and it contains the (−3,6).

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

y = 12x−2   and m₁ x m₂ = 12

m₁ x m₂ = -1

12 x m₂ = -1

m₂= -1/12

Line 2(unknown) with the point (−3,6):

y = mx + c

6 = -1/12 (-3) + c

6 = 1/4 + c

c = 6 -1/4 = 23/4

y = -x/12 + 23/4

Therefore, the slope-intercept form of the equation of the line is y = -x/12 + 23/4

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The required net income of the companies is given as 49,000.

Given that,
Accounts receivable of 88000 and accounts payable of 39000 and have revenues of 121000 and expenses of 83000 what is the company's net income is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total income = 88000 + 121000 = 209000
Total outflow = 39000 + 83000 = 122000
Net income = 209000 - 122000 = 49000

Thus, the required net income of the companies is given as 49,000.

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The capital is £430,600.

Define capital.

The money that a company has on hand to support both its current operations and potential expansion is known as capital. One source of funding for it is the earnings from its operations. When calculating a company's capital worth, all of the company's physical assets and financial assets would be included (minus its liabilities).

The capital account—also referred to as the capital and financial account—records the net flow of investment transactions into an economy and is used in macroeconomics and international finance.

Solution Explained:

Given, Assets = £451,100 and liabilities = £20,500

Capital = Assets - Liabilities

            = 451100 - 20500
            = £430,600

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The numbers that are correctly written in scientific notation are:

Scientific notation is a shorthand (approximate) manner of writing long or short numbers using decimal forms raised to 10 power a baseline.

The rules for correctly writing a scientific notation include the following:

Thus, the scientific notation rules are correctly satisfied by Options B and D, unlike Options A, C, and E.

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A) 42 x 10⁵

B) 1.1 x 10⁴

C) 7.0 x 20⁴

D) 6.01 x 10⁻⁴

E) 18.0 x 10³

Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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The Required Factors   (x + 1) (x - 3 ) (x + 2) (x - 2).

Given equation.
x^4 - 2x^3 - 7x^2+8x+12 = 0

Factors : factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

polynomial : an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable

Now, factorize the polynomial of degree 4 as follows.

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

Then, again factorize polynomial of degree 2.

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

This is the required factors.

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The correct option regarding the price is C. no; The packs of socks are marked up to $7 and then discounted to $4.20.

In this situation, a shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The price will be:

= Original price + Markup

= 5 + (40% × 5)

= 5 + 2

= $7

Then, the store decides to discount the packs of socks by 40%. This will give a price of:

= 7 - (40% × 7)

= 7 - 2.8

= $4.2

The price isn't discounted to $5.

In conclusion, the correct option is C.

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If Midland is 20 miles from Odessa, and Lubbock is 113 miles from Midland. Then 111.22 miles is Odessa from Lubbock.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

The cities of Midland, Lubbock, and Odessa form a triangle.

The distance between Midland and Odessa is 20 miles.

The distance between Lubock and Odessa is unknown, we need to find this.

This can be find by using Pythagorean theorem

Odessa  from Lubbock=20²+x²

113²=20²+x²

12769=400+x²

12369=x²

x=111.22

Hence, 111.22 miles, Odessa could possibly be from Lubbock.

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In the given picture the polygon ABCD is the formed polygon (in red color) and the reflection of the polygon is A'B'C'D' (in green color).

Graphing the polygon and reflection in a graph:

A polygon is a 2 - dimensional shape, that is formed by three or more straight edges. To graph, a polygon, plot the given points on the plane and connect the vertices using straight lines, without crossing any lines.

To reflect the image in the line y = x, switch the values of x to y and y to x. After switching the points, join the formed points and draw the reflected image.

Here we have

A(2, -1),  B(-1, 2),  C(2, 3),  D(4,2)

After switching the values of x to y and y to x the resultant points are

A'(-1, 2),  B'(2, -1),  C'(3, 2),  D'(2,4)

In the given picture the polygon ABCD is the formed polygon (in red color) and the reflection of the polygon is A'B'C'D' (in green color).

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Answer: Yes

Step-by-step explanation:It can because math works like that.

The mean is xbar = Σxf/Σf = 64,950/43 = 1510.47

acc to our question-

hence,The mean is xbar = Σxf/Σf = 64,950/43 = 1510.47

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The zeros of the polynomial x⁴ - 6x³ - 21x² - 150x - 100  are 0.6511 and 8.262 respectively

Zeros of polynomial are the points where the polynomial equals zero on the whole. In simple words, we can say that zeros of polynomial are values of the variable such that the polynomial equals 0 at that point. Zeros of a polynomial are also referred to as the roots of the equation and are often designated as α, β, γ respectively.

The zeros of a polynomial f(x) are the values of x which satisfy the equation f(x) = 0. Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the f(x) value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation f(x) = 0. All such domain values of the function, for which the range is equal to zero, are called the zeros of the polynomial.

To find the zeros of this polynomial function, we have to write the function appropriately.

x⁴ - 6x³ - 21x² = 150x - 100

x⁴ - 6x³ - 21x² - 150x - 100 = 0

The roots of this function is 0.6511 and 8.262 respectively

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The dimension of the rectangular room in the actual building are 55 feet by 30 feet.

Scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.

A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building.

The dimensions of this rectangular room in the actual building can be found as follows:

let's find the length of the actual room

1 inches = 10 feet

3 inches  = ?

cross multiply

length = 30 ft

Let's find the width of the room

1 inches = 10 feet

5.5 inches  = ?

cross multiply

width = 55 ft

Therefore, the width and length of the room are 55 feet and 30 ft respectively.

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The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

height of the office window , a = 45 feet

the bottom of a building that is horizontal  from the office, b = 600 feet

let x represent the angle

tan(x) = a/b

tan(x) = 45/600

x = tan⁻¹(0.75)

x = 4.28 degree

the height of the statue, h  = ?

the statue is from the building, c = 125 feet

tan(45/600) = h/125

h = tan(0.075) x 125

h = 9.3926 feet

The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

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The area of a square with a side length √8 represents a rational number, which is equal to 8 square units.

Rational numbers are real numbers of the form m / n, where m and n are integers, where n ≠ 0. The rest of real numbers are irrational (i.e. π, √5, ∛7, e) Besides, the area of the square is determined by the following formula:

A = l²

Where l is the side length of the square.

First, substitute the side length of the square in the area formula:

A = (√8)²

Second, use algebraic properties to simplify the expression and find the corresponding result:

A = ([tex]8^{\frac{1}{2} }[/tex])²

A = 8

This number represents a rational number as 8 is equivalent to the rational number 8 / 1.

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