-27<7x-13<8 Please help do not understand

Answer:

900,000

Explanation:

1 million is 10*100,000, so subtracting 100,000 from it is just like subtracting 1 from 10-- just much much larger numbers.

Answer:

99,900,000

Step-by-step explanation:

Option (A) ​7x+21 is the binomial as it has two terms option (A) is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

We have shown some expressions:

Binomial has two terms

A. 7x+21

It is a binomial.

B. 3/x

It is not a binomial.

C. 8x²+6x+5

It is trinomial as it has three terms

D. 19x⁴

It is monomial as it has only terms.

Thus, option (A) ​7x+21 is the binomial as it has two terms option (A) is correct.

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The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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A conformal mapping that transforms the complex plane minus the positive z-axis onto the interior of the unit circle and maps the point -4 to the origin is given by the function f(z) = (z + 4)/(z - 4).

To find a conformal mapping, we start by considering the transformation of the point -4 to the origin. We can achieve this by using a translation function of the form f(z) = z + a, where a is a constant. In this case, we want -4 to be mapped to the origin, so we set a = 4, giving us f(z) = z + 4.

Next, we need to map the complex plane minus the positive z-axis to the interior of the unit circle. This can be achieved using a fractional linear transformation, also known as a Möbius transformation, of the form f(z) = (az + b)/(cz + d), where a, b, c, and d are complex numbers.

We want the positive z-axis to be mapped to the unit circle. Since the positive z-axis consists of all points of the form z = ti, where t > 0, we can choose c = 0 to exclude the positive z-axis from the mapping.

To map the complex plane minus the positive z-axis to the interior of the unit circle, we can choose a, b, and d in such a way that the unit circle is mapped to itself, while preserving the orientation. One such choice is a = 1, b = 0, and d = 1.

Combining the translation function f(z) = z + 4 with the Möbius transformation f(z) = (az + b)/(cz + d), we obtain the conformal mapping f(z) = (z + 4)/(z - 4), which satisfies the desired conditions.

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There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

yes she did make a home run

Step-by-step explanation:

because, doing the math she makes it there just in time

The Translation is : (x,y) = (x- 1, y- 1).

WHAT IS TRANSLATION?

Translation is the process of conveying the meaning of a text written in the source language through a text written in the target language. The English language makes a terminological distinction between translating (the act of translating a written text) as well as interpreting (the act of communicating orally or symbolically between speakers of different languages); according to this distinction, transcription can only start once writing has been invented within a language community. There is always a chance that a translator will unintentionally render source-language words, grammar, as well as syntax into to the target-language rendering.

Here the triangle B is in translation to triangle C.

the ratio of x-coordinates is 2/-2 = -1, SO the scale factor of the dilation that maps (2,4) onto (-2,-4) is -1.

so, translation: (x,y) = (x- 1, y- 1).

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The scientific nοtatiοn fοr 36,000,000 is 3.6 107, where 3.6 is the number between 1 and 10, and 7 is the pοwer οf 10, which gives the number οf digits in 36,000,000.

Scientific nοtatiοn is a way οf representing very large οr very small numbers in a mοre cοmpact and manageable fοrm. It invοlves expressing a number as a prοduct οf a cοefficient and a pοwer οf 10.

Scientific nοtatiοn is a way οf expressing numbers that are very large οr very small using a pοwer οf 10.

The general fοrm οf a number in scientific nοtatiοn is a × 10ⁿ, where a is a number between 1 and 10 (but nοt equal tο 10), and n is an integer.

Hence, The number 36,000,000 can be written in scientific nοtatiοn as 3.6 × 10⁷, where 3.6 is between 1 and 10, and 7 is the pοwer οf 10 that gives the number οf zerοs in 36,000,000.

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Complete Question:

Shantel read that the distance between the sun and Mercury is about 36,000,000 miles. Which of the following correctly represents this distance in scientific notation?

A. 36 x 10⁸

B. 3.6 x 10⁷

C. 3.6 x 10⁻⁷

D. 3.6 x 10⁶

Hello Hi I think it is Option D

All the other Options are false

Hope it helps

-Rosie (Jewels)

Hello.

In order to find out which option is true, let's simplify all these fractions:

\(\displaystyle\frac{3}{4}\)

This fraction is already in its simplest form.

Let's simplify the following fraction:

\(\displaystyle\frac{9}{16}\)

This fraction is also in its simplest form.

Thus, Option A is false.

\(\displaystyle\frac{6}{8}\)

Divide both the top and bottom by 2:

\(\displaystyle\frac{3}{4}\)

Is it equivalent (equal) to \(\displaystyle\frac{4}3}\)? No, these fractions are reciprocals.

Thus, Option B is false as well; we have two remaining options.

We can see right off the bat that 3 is on no account equal to 8, so we cross out Option C.

Thus, Option D is the correct option.

I hope it helps.

Have a nice day!

\(\boxed{imperturbability\::-))}\)

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Answer:

  B)  108°

Step-by-step explanation:

You want the interior angle measure for a regular pentagon.

The interior angles of a regular n-gon will have measure ...

  180° -360°/n

When n = 5, the interior angles have measure ...

  180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

__

Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

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Answer:

1,500 words in 10 min Btw it also depends how fast each person can type

Step-by-step explanation:

Have great day

Answer:

See the attachment

Step-by-step explanation:

Please review the images before posting them.  This was very difficult to read, so review my responses carefully.

Ratios are the same if both the numerator and denominator are multiplied or divided by the same number.

1/2 is the same as 5/10, since both were multiplied by 5 ((1*5)/(2*5))

Fractions (ratios) can be shown to be equivalent if the numerator and denominator can both be multiplied or divided by the same number to reach the reference ratio.  

8/14 is equivalent to 4/7 since (8/2)/(14/2) = 4/7

Answer:

X = 5

Y = 7

Step-by-step explanation:

First we will find x

4x + 2 = 3x + 7

x + 2 = + 7

x = 5

Next we will find y

2y + 9 = 4y - 5

-2y + 9 = -5

-2y = -14

y = 7

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

Answer:

g(-4) = 112

Step-by-step explanation:

Hi there!

\(g(n)=-n^3+3n^2\)

To find g(-4), replace all n's with -4:

\(g(-4)=-(-4)^3+3(-4)^2\\g(-4)=-(-64)+3(16)\\g(-4)=64+48\\g(-4)=112\)

I hope this helps!

Answer:

$702.53

Step-by-step explanation:

Start with Jose's initial balance.

\(178.74\)

He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.

\(36.52+18.92+25.93\)

Solve.

\(81.37\)

Subtract the total amount of the checks from Jose's initial balance.

\(178.74-81.37\)

Solve.

\(97.37\)

The amount above is now what is in Jose's checking account.

But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.

\(300.00+100.00+205.16\)

Solve.

\(605.16\)

The amount above is what Jose adds to his checking out.

Add the total value of the deposited money and his new balance.

\(605.16+97.37\)

Solve.

\(605.16+97.37=702.53\)

We can get the exact value of a using the vertex and one point on the parabola.

This means h = 2, k = -7, x = 0, and y = -3. We use this value in the vertex form

Now, we solve for a

The image above shows the vertex point of the given parabola. Also shows the point we used.

Answer:

7n - 4

Step-by-step explanation:

Answer:

-65536

Step-by-step explanation:

-1*4^8

Answer:

-65536

Step-by-step explanation:

Divide 8 by 4

Because is PEDMAS, division comes first.

Answer:

divide 8 by 4

Step-by-step explanation:

PEMDAS or BODMAS

1) Remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2) Their difference will be divisible.

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor).

1. Suppose the a random number is x and 4 consecutives number are x, x+1, x+2, x+3

Given that,

x² + (x+1)²+ (x+2)²+ (x+3)²

x² + (x² +2x+1) + (x² +4x+4)+ (x²+6x+9)

4x² + 12x + 14

is divisible by 4 with remainder 2

\($ \frac{4x^2 + 12\text x + 14}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 +2}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 }{4} $\) \($+\frac{2}{4}\)

Hence proved, remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2. As both 14 and 21 is divisible by seven, their difference is also divisible by 7, i.e. 70-42 = 28, all the numbers are divisible by 7 and hence the squares of the number are also divisible by seven as well as their numbers.

14²⁰ - 21²

(7 × 2)²⁰ - (7 × 3)²

Thus, their difference will be divisible.

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A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Answer: yesss  its linear too

Step-by-step explanation:

Answer:

points D, E

Step-by-step explanation:

The points on the line AB are points A, B, C

Points not on the line AB are points D, E

The domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.

The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.

So, the domain will be all real numbers, except for those that make g(x)=0.

g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.

Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.

Therefore, we get that, the domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.

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Your question was incomplete. Please refer the content below:

Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period

{x ∈ ℝ}

{x ∈ ℝ| x ≠ −5}

{x ∈ ℝ| x ≠ −1, −2, 2}

{x ∈ ℝ| x ≠ −2, 2}

The mean proportion of samples made with chocolate liquor would be 0.20, which is the same as the population proportion.

The problem states that 20% of all candies produced by the factory are made with chocolate liquor. This means that the population proportion of candies made with chocolate liquor is 0.20.

If we take a random sample of 500 candies, we can calculate the proportion of candies made with chocolate liquor in that sample. This proportion is called the sample proportion.

The central limit theorem states that, as long as the sample size is large enough, the distribution of sample proportions will be approximately normal, with a mean equal to the population proportion.

In this case, the sample size is 500, which is large enough for the central limit theorem to apply. Therefore, the mean of all sample proportions will be equal to the population proportion, which is 0.20. Therefore, the answer is that the mean proportion of samples made with chocolate liquor would be 0.20.

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Human Development Index (HDI), Gross National Happiness (GNH), Happy Planet Index (HPI), Better Life Index (BLI), and Genuine Progress Indicator (GPI) are statistical measures that we could use to measure our "well-being" other than GDP.

These measures are important because GDP alone does not provide a complete picture of a country's well-being. GDP measures the market value of goods and services produced within a country, but it does not take into account factors such as income distribution, environmental quality, and social well-being.

By using these additional measures, we can gain a more comprehensive understanding of a country's progress and its impact on people and the planet.

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