Many calculators express very large and very similar numbers in Scientific notation if the number 4.32×104 appears in the display of the calculator what is the value of this number 

Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).

A polynomial is a mathematical expression that solely uses additions, erasures, multiplications, and powers of positive integer variables. It is composed of coefficients and uncertainty. A single uncertain x polynomial is indicated by the expression x2 4x + 7. In mathematics, a polynomial is a mathematical equation made up of variables and factors that can be added, subtracted, duplicated, and raised to negatives integer powers.

Here,

Given :

Factors can obviously be stated in any sequence.

There are thus various responses to this question.

1. x² -2x -15

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

(a, b, c, d) = (1, -5, 1, 3)

2. 2x² -6x -36

= > 2(x² -3x -18)

=> 2(x -6)(x +3)

(a, b, c, d) = (2, -12, 1, 3)

3. 4x² +10x +4

=> 2(2x² +5x +2)

=> 2(2x +1)(x +2)

(a, b, c, d) = (4, 2, 1, 2)

Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).

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The lengths of sides are 20 and  12.3.

The measure of angles are 128 and 55.

Given:

5. As, the opposite sides of the parallelogram are equal.

b+ 14.5 = 20.5

b = 20.5 - 14.5

b = 6

and, the lengths are: b+ 14.5 = 6 + 14.5 = 20 and 3b-6.3 = 18-  6.3 = 12.3

6. Now, the adjacent angle in parallelogram are supplementary

8s + 5 + 3s + 10 = 180

11s + 15 = 180

11s = 165

s = 15

So, the angles are:

8s + 5= 8(15)+ 8= 128 and 3s+10 = 3(15)+10 = 55

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Step-by-step explanation:

Given that for a moving object force acting on the object varies directly with the object's acceleration. If F be the force and a be the acceleration, then ;

[tex]\implies \rm F \propto a\\ [/tex]

[tex]\implies \rm F = ka \dots (1)\\ [/tex]

Initially, let force be F and the acceleration is 4m/s² .So

[tex]\implies \rm F = k (4) \\ [/tex]

If the force is increased 15 times then ,

[tex]\implies \rm 15F = k a \dots (2) \\ [/tex]

Divide (1) and (2) ,

[tex]\implies \rm \dfrac{F}{15F}=\dfrac{k(4)}{k(a)}\\ [/tex]

simplify,

[tex]\implies \rm \frac{1}{15}=\frac{4}{a}\\[/tex]

[tex]\implies \rm a = \dfrac{4}{15} m/s^2[/tex]

And we are done!

-Rishabh

Answer:

x = 140

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the 6 interior angles and equate to 720

x + 90 + 104 + 123 + 155 + 108 = 720

x + 580 = 720 ( subtract 580 from both sides )

x = 140

Answer:

Step-by-step explanation:

Answer:

Last year they earned 269.28

The inequality that matches the graph is y ≥ 5.

Inequality is a term used to describe the unequal distribution of resources or opportunities among members of a society. It is a state of being where people are not treated with equal rights and access to resources and services. Inequality can manifest itself in various forms, such as income inequality, gender inequality, racial inequality, or educational inequality. Inequality is a social issue that has been present throughout history and continues to exist in many countries today. It can lead to a variety of negative consequences, ranging from poverty, social unrest, and violence to discrimination and exclusion. The issue of inequality is a complex one and requires a multi-faceted solution that incorporates economic, social, and political initiatives.

This is because the graph shows a line that is greater than or equal to 5 on the y-axis. The line does not fall below 5, indicating that the inequality is y ≥ 5.

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This equation doesn't have any real solutions.

[tex]\frac{1}{6} (3x-6)=\frac{1}{8} (4x+8)[/tex]

Here, we apply the distributive property of multiplication (check attached image 1).

[tex](\frac{1}{6} )(3x)+(\frac{1}{6})(-6)=(\frac{1}{8})(4x)+(\frac{1}{8})(8)\\ \\\frac{3x}{6} +(\frac{-6}{6})=(\frac{4x}{8} )+(\frac{8}{8} )\\ \\\frac{1}{2} x+(-1)=\frac{1}{2}x+1\\ \\\frac{1}{2} x-1=\frac{1}{2}x+1[/tex]

[tex]\frac{1}{2} x-1+1=\frac{1}{2}x+1+1\\ \\\frac{1}{2} x=\frac{1}{2}x+2[/tex]

[tex]\frac{1}{2} x-\frac{1}{2} x=\frac{1}{2}x+2-\frac{1}{2} x\\ \\0=2[/tex]

This equation doesn't have any real solutions, because when we got a false statement (0=2) when attempting to solve it.

Check attached image 2 to see a representation of this problem.

See how the lines never meet, that means that there isn't an x value that makes these lines meet, because they have the same slope, making them be parallel to each other. Therefore, there's not a real solution for this problem.

Area, A, is x times y. Rectangle: 5.5 in x 14.4 in = 77.2 [tex]in^{2}[/tex]

Triangle: (1/2) x 3.3 in x 6.1 in = 9.945 [tex]in^{2}[/tex]

The area of a form is the measurement of its surface. To calculate the area of a rectangle or square, multiply the length and breadth of the rectangle or square. A is equal to x times y. To summarize, scale drawings share a proportionality constant, ‘k,’ which explains the connection between similar lengths in the scaled picture and the original. The scaled area may be calculated by multiplying the original area by the square of ‘k’.

Actual cash value (ACV) is a method of determining the worth of your commercial property that is being repaired or replaced due to covered damage. ACV is calculated by deducting depreciation from the replacement cost value of an item.

The shape is a rectangular prism, which has three dimensions - length, width, and height. The length is 5.5 inches, the width is 14.4 inches, and the height is 3.3 inches. To calculate the area of this shape, we need to calculate the area of all six faces.

The area of the two side faces (length x height): 5.5 in x 3.3 in = 18.15 [tex]in^{2}[/tex]

The area of the top face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex]

The area of the bottom face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex].

The area of the front and back faces (width x height): 14.4 in x 3.3 in = 47.52 [tex]in^{2}[/tex]

The total area of the rectangular prism is 18.15 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 47.52 [tex]in^{2}[/tex] = 223.35 [tex]in^{2}[/tex]

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The function rule that models the amount I spend on my car per month is 299m.

The total cost after the full term of the lease will be c = 2500 + 299m

From the information given, it should be noted that it was stated that in order to lease the car, the person put $2500 down and then paid $299 per month

The function rule that models the amount I spend on my car per month is:

= 299 × m

= 299m.

The total cost after the full term of the lease will be:

= 2500 + (299 × m)

= 2500 + 299m

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Answer:

55 - 19.95 = 35.05

35.05 > 28.50

she can buy 3 shirts and one pair of pants

Step-by-step explanation:

Answer:

(i)The value of the ratio=250/3feet per second

(ii)Unit rate=250/3feet per second

(iii){Where, k is the constant of proportionality}

k= Distance/Time =250/3feet per second

Step-by-step explanation:

By assertions Chelsie's claim is true because it has been multiplied by 4, and the result of 16 and 4 is symbolized by y.

The unit method is a type of troubles where you first evaluate the price of a specific unit, then multiply that value to get the answer. Simply written, a minimum unit value is extracted from a specified multiple using the unit method. For contrast, 40 pens will costs you 400 rupees, or $1.01. The strategy used to perform this might be defined. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its homologue and reciprocal are equivalent. (Linear Equation is an equation, Quantitative Analysis, Mathematics of Matrix or Operators)

given

Mary multiplied 16 by 4.

Since it states that 16 + 4 = x

x = 4 is incorrect, it is divided.

Chelsie divided 16 by 4, and the result was

16 x 4 = y

y = 64, which is the right answer according to the statement.

By assertions Chelsie's claim is true because it has been multiplied by 4, and the result of 16 and 4 is symbolized by y.

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The given expression is a directly proportional expression.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Given expression,
4.2x-12=0.7y-12

Adding 12 on both sides
4.2x = 0.7y

Divide by 0.7 on both sides

y = 6x

Thus, the given expression is a directly proportional expression.

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Answer: The z-score, also known as the standard score, is a measure of how many standard deviations an individual's score is from the mean. To calculate the z-score, we can use the following formula:

z-score = (x - μ) / σ

Where x is the individual's score, μ is the mean, and σ is the standard deviation.

In this case, the mean is 140, the standard deviation is 40, and the individual's score is 48. So, we can plug these values into the formula:

z-score = (48 - 140) / 40

z-score = -3

So, the person who scored 48 on the exam has a z-score of -3 which means the score is 3 standard deviation below the mean.

Step-by-step explanation:

Answer:-2

Step-by-step explanation: i put in -3 DM said it was wrong. its -2

Depends on where you stay. Here it costs something around ₹400 - ₹500 per square foot.

Answer:47

Step-by-step explanation:

complementary angles are angles that add up to 90.

Writing this as an equation and using x so substitute for unknown values, we have:

     x +(x+4) = 90

    2x+4 = 90

subtract 4 from both sides

   2x = 86

now divide by 2

  x = 43

To find the larger one, we add 4 to this : 47

The rational numbers are -1.75, -3/4, 1/4, 0.75, 1 1/2

You should recall that a rational number is a number that can be expressed as the quotient or fraction. A Rational Number can be made by dividing two integers

The number line contains all real integers positive and negative

Starting from left to right the numbers  should be

-1.75, -3/4, 1/4, 0.75, 1 1/2

Simply go from the smallest to the largest number.

If it's a negative the bigger the number is actually going to be less

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The distributive property can be used to eliminate the parentheses in the equation.

The value of h in the equation -10 + 6(h - 8) = -4(2h + 3) is 3.29.

To use the distributive property, we would first multiply the -4 and 2h inside the first set of parentheses, and -4 and 3 inside the second set of parentheses.

-10 + 6(h - 8) = -4(2h + 3)

-10 + 6h - 48 = -8h - 12

Collect the like terms

6h + 8h = -12 + 10 + 48

14h = 46

h = 46 / 14

h = 3.29

The value of h is 9.

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Answer:

-10 + 6(h - 8) = -4(2h + 3)

-10 + 6h - 48 = -8h - 12

Collect the like terms

6h + 8h = -12 + 10 + 48

14h = 46

h = 46 / 14

h = 3.29

Step-by-step explanation:

well, in the II Quadrant, let's recall the sine or opposite side is positive, whilst the cosine or adjacent side is negative, so hmm

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{hypotenuse}{13}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2 - 5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a\implies \stackrel{II~Quadrant}{-12=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\underset{hypotenuse}{13}}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{-12}} ~\hfill cot(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\underset{opposite}{5}}~\hfill \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{adjacent}{-12}}\hspace{3.2em} csc(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{opposite}{5}}[/tex]

By property of congruence of triangles we must have ∠M=∠D

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given here: TH=SE,TM=SD, ME=HD

Thus by SSS property of congruence we must have ΔEDS≅ΔHMT

Therefore by property of congruence we must have ∠M=∠D

Hence, by property of congruence we must have ∠M=∠D

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Starting temperature 29 degrees would serve as the beginning point.

The term "initial value" describes a variable's initial value, which is its value at the start of a process or time period. A variable's end value or value at the conclusion of a procedure or time frame is referred to as its final value.

The initial value in the context of a mathematical function would be the value of the function at the start of the domain, and the final value would be the value of the function at the end of the domain.

If in the course of six hours, the outside temperature fell by 23 degrees. A beginning temperature of 29 degrees (-6 + 23) would be appropriate given the final temperature of -6.

(-6 + 23) would equal 29 degrees as the beginning temperature.

In this case, 29 degrees would be the beginning temperature.

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The measure of the largest angle is 87°. The solution has been obtained using angle sum property of triangle.

What is angle sum property?

The inner angles of a triangle add up to 180°, which is known as the triangle's "angle sum property."

Let the smallest angle be 'x'.

We are given that one angle in a triangle has a measure that is three times as large as the smallest angle.

So, the angle is 3x.

Also, we are given that the measure of the third angle is 35 degrees more than that of the smallest angle.

So, the third angle is (x+35).

Now, using angle sum property, we get

⇒x + (x+35) + 3x = 180

⇒5x + 35 = 180

⇒5x = 145

⇒x = 29°

So, other angles come out to be

3x = 29*3 = 87°

x+35 = 29+35 = 64°

Hence, the measure of the largest angle is 87°.

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The difference  between a simple random sample and a systematic sample are;

(5).In a systematic sample, the only samples possible are those including every kth item from the random starting position.

(8).In a simple random sample, every sample of size n has an equal chance of being included.

A simple random sample is defined as a subset of a statistical population whereby each member of the subset has an equal probability or chance of being chosen or selected.

Meanwhile systematic sampling is defined as a probability sampling method where researchers select members of the population at a regular interval.

Looking at the given options, we can conclude that the correct ones are;

In a simple random sample, every sample of size n has an equal chance of being included.

In a systematic sample, the only samples possible are those including every kth item from the random starting position.

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Answer: w=-1

Step-by-step explanation: