CAN SOMEONE PLS HELP ME ANYONE ITS ALMOST DUE

the breadth of the rectangle is 3

A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side. The width of a rectangle is sometimes referred to as the breadth (b).

Area =9x -6 ,

length=3x-2,

 breath =?​

Therefore, the area of a rectangle formula states that:

Area of rectangle = Length x Width

A = L * W, where A is the area, L is the length, W is the width or breadth.

now put the given value in the formula

9x-6 = (3x-2 )*W

3( 3x -2) / (3x-2) = W

W =3

Hence , the breadth of the rectangle is 3

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49 - 2/3 x = 32 - 1/6 x

Move the constant terms to one side and the terms containing x to the other:

49 - 32 = 2/3 x - 1/6 x

Simplify the left side, and pull out the common factor of x on the right side:

17 = (2/3 - 1/6) x

Write the fractions in terms of a common denominator. In this case, you would take

2/3 = 4/6

so that

(2/3 - 1/6) x = (4/6 - 1/6) x = 3/6 x = 1/2 x

Then the equation is

17 = 1/2 x

Multiply both sides by 2:

2 × 17 = 2 × 1/2 x

34 = x

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The range of possible values should be (7,34), i.e 7 < x < 34.

The answer must be more noteworthy than 7, else the two sides are less than or rise to to the third. That triangle is outlandish. The reply must moreover be less than 34, since at that point the two other sides would rise to the third, making an impossible triangle.

By the property of triangle, Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

To prove above propert, let us assume a  ΔABC

extend AB to D in such a way that AD=AC.

In ΔDBC, as the angles opposite to equal sides are always equal, so,

∠ADC=∠ACD

so,

∠BCD>∠BDC

As the sides opposite to the greater angle is longer, so,

BD>BC

AB+AD>BC

Since AD=AC, then,

AB+AC>BC

Hence, sum of two sides of a triangle is always greater than the third side.

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Answer:

7 < x < 34

Step-by-step explanation:

√-7 is an imaginary number.

A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are the first few prime numbers. Composite numbers are those that have more than two components.

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Thus, √-7 will be imaginary number

Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Thus, -26 is rational whole number

Irrational numbers have endless non-repeating digits after the decimal point.

thus, √64 irrational whole number

Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers.

thus, 0.424242 and 0.363636 are real irrational root decimal

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers.

Thus, 1/4 is Real rational root decimal.

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The area of the shape is 89m²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The original shape is a rectangle and a triangle cut out from it.

The area of the shape = area of rectangle - area of triangle

area of rectangle = 13× 8

= 104m²

Area of the triangle = 1/2bh

= 1/2 × 5 × 6

= 5×,3

= 15m²

therefore area of the shape = 104-15 = 89m²

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The expression used to represents the total number of cards with Nina and Krisha is given by 10C + 9H.

Let us denote the number of cards in each castle pack by C.

And H is the number of cards in each hero pack.

Number of castle cards with Nina = 4C

Number of hero cards with Nina = 5H

Number of castle cards with Krisha = 6C

Number of castle cards with Krisha = 4H

Total number of cards with Nina

= Number of castle cards + hero cards

= 4C + 5H

Total number of cards with Krisha

= Number of castle cards + hero cards

= 6C + 4H

Total cards for both ( Nina and Krisha )

= (4C + 5H) + (6C + 4H)

= 10C + 9H

Therefore, the total number of cards that Nina and Krisha have together is 10C + 9H.

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The above question is incomplete , the complete question is:

Nina and Krisha click trading cards Nina has four packs of castle cards and five packs of hero cards. Krisha has six packs of castle cards and four packs of hero cards. Each castle pack holds C cards and each little pack codes each cards. Write an expression with exactly two terms to represents total number of cards Nina and Krisha have together?

Answer:

$12.72

Step-by-step explanation:

Answer:

$15.60

Step-by-step explanation:

100%-$12

10%-$6

1%-0.6

6%-$3.60

$12.00+$3.60=$15.60

Answer:

Question 1 is statistical.

Question 2 is not statistical

Statistical means there will most likely be different answers, especially when it is being asked to several people. If it is a certain number for the answer it is considered not statistical.

Answer:

x=-7

Step-by-step explanation:

(x+59)+(x+51)+84=180       180-84=96

(x+59)+(x+51)=96          2x+110=96

2x=-14

-7+59=52       -7+51=44

52+44+84=180

The equation in slope-intercept form that describes the relationship in the graph is: y = -20x + 100.

An equation is a mathematical statement that shows the equality between two expressions. It contains one or more variables, and the values of these variables can be solved for to make the equation true. An equation can be represented using symbols, numbers, and operators such as addition, subtraction, multiplication, division, and exponents. Equations are used in many fields of mathematics and science, and they are a fundamental tool for solving problems and making predictions.

Here,

Part A:

The equation in slope-intercept form that describes the relationship in the graph is:

y = -20x + 100

Part B:

To determine the equation, we need to find the slope of the line passing through the two given points.

Slope, m = (change in y) / (change in x)

m = (0 - 100) / (5 - 0)

m = -20

The y-intercept can be found by substituting the slope and any point on the line into the slope-intercept form of the equation:

y = mx + b

100 = (-20)(0) + b

b = 100

Therefore, the equation in slope-intercept form is:

y = -20x + 100

Part C:

In the given situation, the slope represents the rate of decrease in the percentage of battery remaining per hour. The negative value indicates that the percentage of battery remaining decreases over time, and the magnitude of the slope (-20) indicates that the battery percentage decreases by 20% per hour.

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Answer:

K(x, y) —> K’(-x, y - 7)

Step-by-step explanation:

The amount of interest John will get after 12 years given his savings and interest rate is 1,680 Euros

Simple interest is a type of interest rate paid only on principal. It is called by multiplying principal by interest rate by time.

Simple interest = principal × rate × time

= 14,000 × 0.01 × 12

= 1,680 Euros

In conclusion, given John's savings and interest rate, he'll earn 1,680 Euros as interest after 12 years.

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Answer:

vance got the better deal

Step-by-step explanation:

Answer:

75/120 = 15/24 = 5/8

Step-by-step explanation:

3 + 5 = 8 There are 8 parts

120 / 8 = 15

15 X 5 = 75

There are 75 sheeps with 2 lambs

The total number of sheep having 2 lambs in farm A is \(0.625\).

To find the fraction of the sheep who have lambs on farm A have 2 lambs, we need to have the total number of sheep having 2 lambs in farm A.

How to determine the fraction of sheep?

According to the question, the ratio of the sheep having 1 lamb and 2 lambs is \(3:5\) and the total number of sheep is 120.

So, the total number of sheep having 2 lambs in farm A is calculated as-

\(L_2=\dfrac{5}{3+5}\times 120\\=5\times 15\\=75\)

Now, the fraction of the total number of sheep having 2 lambs in farm A is-

\(F=\dfrac{75}{120}\\=0.625\)

Thus, the total number of sheep having 2 lambs in farm A is \(0.625\).

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Answer:

{(1, 2), (3, 2), (5, 7)}

Step-by-step explanation:

A function has a one to one correspondence

Each x can go to only 1 y value

{(1, 2), (3, 2), (5, 7)} function

{(3, 5), (-1, 7), (3, 9)} 3 goes to more than 1 y value

{(1, 2), (1, 4), (1, 6)} 1 goes to more than 1 y value

Answer:

\(\huge \boxed{ \{(1, 2), (3, 2), (5, 7)\} }\)

Step-by-step explanation:

\(\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.\)

\(\{(1, 2), (3, 2), (5, 7)\} \ \sf represents \ a \ function.\)

\(\{(3, 5), (-1, 7), (3, 9)\} \ \sf does \ not \ represent \ a \ function.\)

\(\{(1, 2), (1, 4), (1, 6)\} \ \sf does \ not \ represent \ a \ function.\)

This equation can be used to predict the value of y for any given value of x that falls within the Range of the data.

Equation for a line of fit for the given data, we need to first determine the slope and y-intercept of the line. We can use the two ordered pairs (0, 1) and (6, 10) to do this.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values from the given points, we get:

m = (10 - 1) / (6 - 0) = 1.5

So the slope of the line is 1.5.

Next, we can use the point-slope form of a linear equation to write the equation of the line passing through the point (0, 1) with slope 1.5:

y - y1 = m(x - x1)

Substituting the values of the point (0, 1) and the slope m = 1.5, we get:

y - 1 = 1.5(x - 0)

Simplifying and rearranging, we get:

y = 1.5x + 1

So the equation of the line of fit in y = mx + b form is:

y = 1.5x + 1

This equation can be used to predict the value of y for any given value of x that falls within the range of the data.

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a.Therefore, the sample does not provide enough evidence to claim that the proportion of site users who get their world news on the site has changed since 2013. b.

the null value 0.46 is within the 95% confidence interval. Hence, we fail to reject the null hypothesis that the proportion of site users who get their world news on the site has not changed since 2013.

a. State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site. Reject H0 or do not reject H0 and interpret the conclusion.

Null Hypothesis (H0): The proportion of site users who get their world news on the site has not changed since 2013.

Alternative Hypothesis (Ha): The proportion of site users who get their world news on the site has changed since 2013Level of significance: α = 0.05The sample data

In 2018, 1695 users out of 3621 users get most of their news about world events on this site. In 2013, only 46% of all the site users reported getting their news about world events on this site.Test statistic:The standard error of the sample proportion of users who get their world news on the site in 2018 is given by:SE = sqrt[p*(1-p)/n]where, p = proportion of site users who get their world news on the site in 2018= 1695/3621 = 0.468, n = sample size = 3621.

Therefore, SE = sqrt[0.468 * (1 - 0.468) / 3621] = 0.0107The test statistic is given by:z = (p - P) / SEwhere, P = proportion of site users who get their world news on the site in 2013= 0.46Therefore, z = (0.468 - 0.46) / 0.0107 = 0.7483The corresponding p-value for z = 0.7483 is 0.2434.Interpretation:Since the p-value (0.2434) > α (0.05), we fail to reject the null hypothesis. Therefore, the sample does not provide enough evidence to claim that the proportion of site users who get their world news on the site has changed since 2013.

b. After conducting the hypothesis test, a further question one might ask is what proportion of all of the site users get most of their news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for the population proportion.

To construct a 95% confidence interval for the population proportion, we can use the formula given below:CI = p ± z*(SE)where, CI = confidence interval for the population proportionp = sample proportion of users who get their world news on the site in 2018z = 1.96 (at 95% confidence level)SE = standard error of the sample proportionp = 1695/3621 = 0.468 (as calculated in part a)SE = 0.0107 (as calculated in part a)Therefore, the 95% confidence interval is given by:CI = 0.468 ± 1.96*(0.0107)CI = (0.447, 0.489).

The calculated confidence interval supports the hypothesis test conclusion, as the null value 0.46 is within the 95% confidence interval. Hence, we fail to reject the null hypothesis that the proportion of site users who get their world news on the site has not changed since 2013.

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The value of 9792381 ÷ 13 with the remainder will be 753260 remainder 1.

In contrast to multiplication, division is the process of dividing a given sum into equal pieces.

To solve the division will be illustrated as thus;

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder.

Calculate the division as usual using your calculator. Once you have the result in decimal form, take the entire number out and multiply the decimal value that remains by the original problem's divisor. The outcome is your remainder.

In this case, the value when we divide 9792381 by 13 is 753260 remainder 1.

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Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

Considering the given scatter plot, it is found that:

a) The number of students who attended the fourth meeting is greater than 20.

b) Using a line of best fit, the estimate for the fourth meeting is an attendance of 17.67 students.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The first four observations are: 18, 21, 17 and x.

The mean is of 20, hence:

20 = (18 + 21 + 17 + x)/4

56 + x = 80

x = 24.

The number of students who attended the fourth meeting is greater than 20.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given by:

(1, 18), (2,21), (3,17).

Hence, using a calculator, the line of best fit is given by:

y = -0.5x + 19.67.

The estimate for the fourth meeting is:

y = -0.5(4) + 19.67 = 17.67.

Using a line of best fit, the estimate for the fourth meeting is an attendance of 17.67 students.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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The volume of the given combined solids is 675 cm³.

The given combined solid is made up of two solids. A rectangular solid and a triangular prism. The dimensions of the rectangular solid are length, width, and height 15 cm, 6 cm, and 5 cm, respectively, while the triangular prism has a height of 6 cm and a base of 5 cm.

The rectangular solid is placed on the triangular prism such that the rectangular solid's width coincides with the base of the prism's triangle.Find the volume of the given combined solids.

Since the rectangular solid is on top of the triangular prism, we will compute the two volumes separately and then add them together to obtain the combined volume.

Volume of rectangular solid = l × w × h= 15 cm × 6 cm × 5 cm= 450 cm³

Volume of triangular prism= 1/2 × base × height × length= 1/2 × 5 cm × 6 cm × 15 cm= 225 cm³

To get the combined volume, we add the two volumes together:Combined volume= 450 cm³ + 225 cm³= 675

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Answer: final answer = 3/8

Step-by-step explanation:
it says 1/8 + 1/4. before you can add them you have to make sure that both fractions have the same denominator first you have to make both of the bottom denominators the same so its 1/8+2/8.
1/8+2/8=3/8

The amount of wire that can be bought from 21 cents is 7 inches.

It is given in the question that 12 inches of wire costs 36 cents.

We have to find the amount of wire that can be bought from 21 cents.

We will use the unitary method to solve this question.

Amount of wire that can be bought from 1 cent = 12/36 = 1/3 inches

Hence, according to the data given in the question, we can write,

The amount of wire that can be bought from 21 cents = (1/3)*21 = 7 inches.

Unitary method

The unitary method is a mathematical problem-solving technique where the value of a single unit is found out from the value of multiple units prior to finding the necessary result.

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The translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

In geometry, a translation is a transfer that occurs either horizontally to a left or right as well as vertically up or down. It may also consist of a mix of the two.

Given data:

Parent function- y = x²

New function -  y = (x - 2)² +1

Thus, the translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

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Complete question:

1. Which of the following most accurately describes the translation of the graph from y = x² to y = (x - 2)² +1?

A.  shift of 2 units right and then shift of 1 unit up.

B.   shift of 2 units left and then shift of 1 unit up.

The mass of the plate  (22/3)π.

The problem says that the radial density function is equal to two times the average density of the plate, and that the radius is the same.

The mass of the plate can be found by integrating the radial density over the area of the plate.

Using the formula for the area of a circle, A = πr², we can find the mass as follows:

M = ∫₀¹ρ(x) dA
= ∫₀¹(7x+4) dA
= ∫₀¹(7x+4) (2πx) dx
= 2π ∫₀¹(7x²+4x) dx
= 2π [(7/3)x³ + 2x²]₀¹
= 2π [(7/3)(1)³ + 2(1)² - (7/3)(0)³ - 2(0)²]
= 2π [(7/3) + 2]
= 2π (11/3)
= (22/3)π

Therefore, the mass of the plate is (22/3)π.

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Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)