The following table shows the expressions that represent the sales of two companies:


Company A B
Sales 170(1.04)x 330(1.80)x


Which company has the largest percent of increase?
Both Company A and Company B
Neither Company A nor Company B
Company A
Company B

step 1. Multiply the variable x with 13 .

step 2. Add 2 to it .

Step 1 : Subtract 2 from both sides : 13x + 2 - 2 = 41 - 2 = 39

Step 2 : Divide both the sides by 13 : 13x ÷ 13 = 39 ÷ 13 = 3

x = 3

Step 1. Subtract 3 from the variable .

Step 2. Divide the result by 5 .

\(Step \: 1. \: add\: 3 \: to \: both \: the \: sides : \frac{x - 3}{5} + 3 = - 1 + 3

\)

Step 2 : Multiply both the sides by 5 : 5 × 1/5x = 5 × -2/5

x = -2

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Answer:

There are totally 280 pages in that book

Step-by-step explanation:

let the total pages be x.

From the question we know that 98 pages are the 35% of total pages...

so,

(98/x)*100 = 35

98/x = 35/100

reciprocal both sides...

x/98 = 100/35

x = 2.857 * 98

x = 280

There are total 280 pages in the textbook.

A percentage is a number or ratio expressed as a fraction of 100.

Given that, in a geography textbook, 35% of the page is coloured and there are 98 coloured pages'

Let the total pages in the textbook be x, then,

35% of x = 98

x = 98*35/100

x = 280

Hence, There are total 280 pages in the textbook.

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Answer:

a. False

b. True

c. False

d. False

e.True

f. True

Step-by-step explanation:

The 95% is confidence interval its not a probability estimate. The probability will be different from the confidence interval. Confidence interval is about the population mean and is not calculated based on sample mean. Every confidence interval contains the sample mean. There is 95% confidence that the number of televisions per American household is between 1.15 to 4.20.

Answer:

i really don't know this one ether , can yall help both of us out ?

Step-by-step explanation:

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer:

\(8*8*8*8*3*3= 8^4 * 3^2\)

Step-by-step explanation:

The exponents are used to write mathematical expressions in compact and simple form which is called scientific notation.

Given expression is:

\(8*8*8*8*3*3\)

When two or more same numbers are multiplied they can be written using exponents. i.e. a*a*a = a^3

We can see that 8 is repeated four times in the expression so,

\(8*8*8*8 = 8^4\)

Similarly, 3 is repeated two times

\(3*3 = 3^2\)

Combining both we get

\(= 8^4 * 3^2\)

Hence,

\(8*8*8*8*3*3= 8^4 * 3^2\)

The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

The slope of the graph of y = f(x) is 3

The y-intercept of the line = -5

Equation for the line in slope - intercept form is y = 3x - 5

Given table of linear function is:

x     |    y

-2      -11

-1        -8

0       -5

1        -2

2         1

3        4

Slope = Change in y values/ Change in x-values

          = -8 --11/-1--2 = 3

Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3

So the slope is constant and is m = 3.

y-intercept is the y-value corresponding to when x = 0.

Here, when x = 0, y = -5.

So the y-intercept, c = -5

The equation for the linear function in slope-intercept form is,

y = mx + c , where m is the slope and c, the y-intercept of the function.

So here, the slope-intercept form of the function is,

y = 3x - 5

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The intended population based on the information given is LMC students.

The actual population based on the information illustrated is Transfer Academy.

The sample is the 25 friends that the student talked to.

Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.

According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.

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X must be equal to 0 for M to be singular.

For M to be singular, its determinant must be zero. So, we can set up the equation:

| 2 2 1 |

| 6 2 -x |

| 2 1 3 | = 0

Expanding the determinant along the first row, we get:

2 | 2 -x |

-6 | 1 3 | = 0

Multiplying the determinant of the 2x2 matrix by 2, we get:

4(-x - 3) - (-6)(2) = 0

Simplifying the left-hand side, we get:

-4x - 12 + 12 = 0

Solving for x, we get:

-4x = 0

x = 0

Therefore, X must be equal to 0 for M to be singular.

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The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Let's suppose the equation that models the exponential decline is: y=a(bˣ).

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Therefore, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

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Answer:

2b+8 is the simplify expression

Answer:

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

__________________________

another way

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

= b = \(\frac{8}{2} \\\\\)

= b= 4

Ans: b= 4

Answer:

x=20

Step-by-step explanation:

Answer:

Annual tax bill of Ashley = $2,354

Step-by-step explanation:

Given:

Market value of house = $135,000

Assessed value of house = $110,000

County's tax rate = $21.40 per $1,000

Find:

Annual tax bill of Ashley

Computation:

Annual tax bill of Ashley = [Assessed value of house / 1,000 ]21.40

Annual tax bill of Ashley = [110,000 / 1,000 ]21.40

Annual tax bill of Ashley = [110]21.40

Annual tax bill of Ashley = $2,354

Answer:

105 cm squared

Step-by-step explanation:

15 × 6 to get the rectangle = 90

Now we have a triangle left so you do 15 - 9 for the base which equals = 6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15, and once we add those together, we get 105. (I really hope that help!!)

Answer:

105 cm²

Step-by-step explanation:

Divide the shape into a rectangle and a triangle.

Area of a rectangle = width x length

Therefore, Area = 6 x 15 = 90 cm²

Area of a triangle = 1/2 x base x height

Therefore, height = 11 - 6 = 5cm

                    Base = 15 - 9 = 6 cm

So, area of the triangle = 1/2 x 5 x 6 = 15 cm²

Sum both areas to find total area:

90 + 15 = 105 cm²

The values of k that would make the product of ᵏ⁄3 × 12 be greater than 12 is: D. for any value of k greater than 3.

The product of two numbers is the result obtained when one number is multiplied by another.

A. For values of k that are less than 1 but greater than 0, i.e 1.5, we have:

0.5/3 * 12 > 12

2 > 12 [false]

B. For values of k that are less than 3 but greater than 1, i.e 2, we have:

2/3 * 12 > 12

8 > 12 [false]

C. For any value of k that is equal to 3, i.e. 3, we have:

3/3 * 12 > 12

12 > 12 [false]

D. For values of k that are greater than 3, i.e 6, we have:

6/3 * 12 > 12

24 > 12 [true]

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Answer:

If I'm correct, the answer is 1296.

Step-by-step explanation:

6 x 6 x 6 x 6 = 1296

Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

Answer:

30 units^2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Multiply length times width

Each side is 6 units. That would be your length

And both the top and bottom are 5 units each. This would be your width.

5 times 6= 30

Answer:

-5/6

-2/3

Step-by-step explanation:

it's easiest to write the line in the following form:

y=mx+b

where m is the slope

and b is the y intercept

In other words, we want to get y by itself

5x+6y= -4

6y= -4-5x

y=(-4-5x)/6

y=(-5/6)x-4/6

Thus, -5/6 is the slope

and -4/6= -2/3 is the y intercept

The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

Suppose the circle has radius of 'r' units, then, its area is given as:

\(A = \pi \times r^2\) sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

\(\pi \times (\dfrac{d}{2})^2\) sq. units

Suppose that a considered circle has:

Then, we get:

\(C = 2\pi r \: \rm units\)

So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.

That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).

The graph given describes the region of scan.

The blue region's area = Outer circle's area - Internal circle's area

The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:

\(471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles\)

The outer circle has the radius = internal circle's radius + diameter of the radar circle =  \(\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles\)

Thus, we get:

Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²

Net area which is searched by the search plane ≈ 16957.42 miles²

Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

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The equation of the line in the slope-intercept form is: y = -2.00 x + 10.

The slope and provided point are both in the equation for the straight line.

The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.

y-y₁ = m(x-x₁)

It is the necessary equation for a line in the form of a point-slope.

That gift card to the Coffee Café has been provided. = $10

Medium coffee = $2.00

customers

The quantity of coffees a consumer can purchase can be represented using a linear equation.

Slope formula

m = (8 - 10)/(1 - 0)

m = -2

Now consider the line's point-slope shape.

y-y₁ = m(x-x₁)

( y - 10) = -2.00 ( x - 0)

y = -2.00 x + 10

The slope: m = - 2.00

The equation of the line: y = -2.00 x + 10

The y-intercept is 10

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Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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first off, let's find out how much he's making on the 2nd year, so since he's getting slashed by 20%, that means his new commission is 100% - 20% = 80%, so 80% of 60000, how much is that?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 60000}}{\left( \cfrac{80}{100} \right)60000}\implies 48000\)

now, if we want to go up to 57600, that means we need to increase his commission by 57600 - 48000 = 9600.

So, if we take 48000(origin amount) to be the 100%, what's 9600 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 48000 & 100\\ 9600& x \end{array} \implies \cfrac{48000}{9600}~~=~~\cfrac{100}{x} \\\\\\ 5 ~~=~~ \cfrac{ 100 }{ x }\implies 5x=100\implies x=\cfrac{100}{5}\implies \boxed{x=20}\)

Answer:

Step-by-step explanation: