subtract 7x2+4x-9 from 5x2+10x-5

Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

(1) H = 4Z is a normal subgroup of G = Z. The Cayley table of G/H can be computed.

(2) The information provided is incomplete to determine if H is a normal subgroup of G. Further details are needed.

(1) In this case, G is the group of integers Z, and H is the subgroup 4Z, which consists of all multiples of 4. H is a normal subgroup of G because in Z, every subgroup is normal. The Cayley table of G/H can be computed by considering the cosets of H in G. The cosets of H in Z are {0 + 4Z, 1 + 4Z, 2 + 4Z, 3 + 4Z}. To construct the Cayley table, we need to compute the product of each pair of cosets. For example, (1 + 4Z)(2 + 4Z) = 2 + 4Z. By performing this operation for all pairs of cosets, we can fill in the Cayley table.

(2) The information provided for G is incomplete, so it is not possible to determine if H is a normal subgroup of G. Further details about the group G and the subgroup H are needed, such as the specific group elements and the group operation. Without this additional information, it is not possible to ascertain if H is a normal subgroup or compute the Cayley table of G/H.

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Over a period of 8 years, with monthly deposits starting at $50 and increasing by $5 each month, and an annual effective interest rate of 10%, we can calculate the accumulated balance at the end of the 8-year period.

To calculate the accumulated balance at the end of 8 years, we need to consider the monthly deposits, the interest earned, and the compounding effects. The annual effective interest rate of 10% needs to be converted to a monthly interest rate.

First, we can calculate the monthly interest rate by dividing the annual effective interest rate by 12 (since there are 12 months in a year). In this case, the monthly interest rate would be (10% / 12) = 0.00833.

Next, we can calculate the accumulated balance using the formula for the future value of an ordinary annuity:

Accumulated Balance = P * [\((1 + r)^n\) - 1] / r

Where:

P = Monthly deposit amount

r = Monthly interest rate

n = Number of compounding periods (in this case, 8 years * 12 months = 96 months)

Plugging in the values, we have:

P = $50 (initial deposit)

r = 0.00833 (monthly interest rate)

n = 96 (number of compounding periods)

Using the formula, we can calculate the accumulated balance at the end of 8 years.

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Solution:

Given:

An exponential function is of the form:

To get the exponential function for the relation;

Part A:

Relating this to the parameters given:

The exponential function that models the problem is;

Part B:

On the twenty-third day,

Therefore, he would have saved 4,194,304 pennies on the twenty-third day.

Answer:

DCB=50 degree (sum of interior angle of quadrilateral)

To find the 85th percentile of combined test scoresZ-score is given by; Z = (X - μ) / σ0.85 = (X - 1499) / 345By solving for X, we getX = μ + σZ = 1499 + 345(1.0364) = 1850.4Therefore, the combined scores corresponding to the 85th percentile is 1850.4.

The given data isMean

= μ

= 1499 Standard deviation

= σ

= 345a) To find the 30th percentile of combined test scoresz-score is given by;  Z

= (X - μ) / σLet's plug in the values  Z

= (X - μ) / σ0.30

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(-0.5244) = 1301.21Therefore, the combined scores corresponding to the 30th percentile is 1301.21.b) To find the 75th percentile of combined test scoresZ-score is given by; Z

= (X - μ) / σ0.75

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(0.6745)

= 1725.4Therefore, the combined scores corresponding to the 75th percentile is 1725.4.c) .To find the 85th percentile of combined test scores Z-score is given by; Z

= (X - μ) / σ0.85

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(1.0364)

= 1850.4Therefore, the combined scores corresponding to the 85th percentile is 1850.4.

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Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

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

Step 2: Solve for x

Here we see that both sides are identical.

∴ our solution is all real numbers.

Answer:24%

Step-by-step explanation:

6 divided by 25 is .24

Answer:

Answer:

c

Step-by-step explanation: got it right prommispromise

The graph of g(x) is obtained by vertically compressing and right-shifting the graph of f(x).

The graph of g(x) can be obtained by applying a vertical compression and a rightward shift to the graph of f(x). When we compress the graph of f(x) vertically, it means that the values of the y-coordinates of the points on the graph of f(x) are multiplied by a constant factor less than 1. This causes the graph to become narrower.

Additionally, when we shift the graph of f(x) to the right, we are moving all the points on the graph horizontally towards the positive x-axis by a specific amount. This shift changes the x-coordinates of the points while keeping their y-coordinates the same. By applying these transformations, we can obtain the graph of g(x) from the original graph of f(x) with the desired vertical compression and rightward shift.

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5/7 is 5÷7

so

5÷7 = 0.7142857143

Answer:

The penguins swan 2 2/5 miles in one hour

Step-by-step explanation:

Regression equation are calculations used to predict a person's to score on one variable when that person's score on another variable is already known. So, option(C) is right one.

Statistical study is used to collect and analyze data and is useful in census. The collected data is used to interpret economic activities. Statistics can be qualitative or quantitative in nature. The regression analysis is used to determine the line of best fit for the dependent variable and independent variables. The equation form of regression line is written as, Y= a + bX, where

It is an analysis to measure the relationship between a dependent variable and two or more. independent variables. So the correct choice is the regression equation.

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Complete question:

____ ____ are calculations used to predict a person's to score on one variable when that person's score on another variable is already known.

A. Pearson product-moment correlation coefficient

B. Coefficient of determination

C. Regression analysis

D. Point-biserial correlation coefficient

Answer:

12   50/50 chance

Step-by-step explanation:

Answer:

The answer is 3 1/3

The value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that,

The expression is:

= −t/u+vw

The values of t = 2, u=−2/3 , v=−1 , and w=−1/3

After pluggin the values of t, u, v, and w in the above expression we get:

= -2/(-2/3) + (-1)(-1/3)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

= 3 + 1/3

= 3 1/3 (in mixed fraction)

Thus, the value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

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3 1/3

Angle(x)=42 degrees

Arc(WV)=2*Angle(x)

Arc(WV)=2*42°=84°

Answer:

5/7/10/21/5

this is not a way how you gave the question

Answer:

If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...

https://www.algebra.com › tutors

Recent problems solved by 'mrduffner' - See tutors' answers!

3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .

IT IS ONE

Answer:

p: Point B lies on line segment AC

q: AB + BC = AC

Step-by-step explanation:

We are given the following conditional statement:

If point B lies on line segment AC, then AB + BC = AC

A conditional statement is usually (although not always) written in the format 'if p, then q', where p is the hypothesis, and q is the conclusion

In our case, our statement is also written in 'if p, then q' format, and we need to identify what p and q are.

As shown earlier, is the hypothesis - these would be all the words after the word 'if', but before 'then'

In the statement given, all the words given after 'if' and before 'then' would be:

If point B lies on line segment AC, then AB + BC = AC

Meaning that p would be 'point B lies on line segment AC'

Meanwhile, q is the conclusion - these are all the words or phrases after the word 'then'

In our statement, all of the things after 'then' are:

If point B lies on line segment AC, then AB + BC = AC

Meaning that q would be 'AB + BC = AC'

Question:

Solution:

Every number different from zero, with zero power, is always equal to 1. Then we can conclude that:

and

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer: 16m²

Step-by-step explanation:

A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:

= 8m × 6m

= 48m²

A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:

= 4m × 2m

= 8m²

Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.

Area of the remaining part of the large rectangle will be:

= 4m × 4m

= 16m²

The number 0.010 has two significant figures.

Significant figures are digits that contribute to the precision of a number. In this case, the leading zero in 0.010 is not considered significant because it simply indicates the decimal point's position.

The significant figures in the number are the non-zero digits, which are "1" and "0".

To determine the number of significant figures in a decimal number, we count all the digits from the first non-zero digit to the rightmost digit. In 0.010, the non-zero digits are "1" and "0", and there are two of them.

The trailing zero after the decimal point does not affect the number's precision or accuracy; it only indicates the decimal place.

Therefore, it is not considered a significant figure.

Knowing the number of significant figures is crucial when performing mathematical operations or expressing the precision of a measurement.

It helps ensure that the result is reported with the appropriate level of precision and maintains consistency throughout calculations.

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\(\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }\)

Answer:

24 hours

Step-by-step explanation:

4·10 = 40

180 - 40 = 140

140/7 = 20 hours from Mon - Fri

4 hours on Sat

20 + 4 = 24

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

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