What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.

Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Answer:

A

Step-by-step explanation:

In the proof, it says that MO is congruent to MO, <PMO is congruent to <NMO, and <POM is congruent to <NOM. We can locate these angles and side to find that these congruent angles surround the side. Therefore, the congruent relation is ASA (angle-side-angle) postulate

Answer:

a. ASA Postulate

Step-by-step explanation:

The proof is using an angle, a side, and an angle, in that order, to prove two triangles congruent, so the missing reason in ASA Postulate.

Answer: a. ASA Postulate

The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem.

The DTKF (Discrete-Time Kalman Filter) equations are used for estimating the state of a dynamic system based on observed measurements. In the given system, the state equation is In = Xn-1, and the observation equation is Yn = X + 20n.

The DTKF equations consist of two main steps: the prediction step and the update step. In the prediction step, the estimated state and its covariance are predicted based on the previous state estimate and the system dynamics. In the update step, the predicted state estimate is adjusted based on the new measurement and its covariance.

For the given system, the DTKF equations can be derived as follows:

Prediction Step:

Update Step:

These DTKF equations are specific to the given linear dynamic system and differ from those in the Gallager problem, as they depend on the system dynamics, observation model, and noise characteristics.

The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem. Each dynamic system has its own unique set of equations based on its specific characteristics, and the DTKF equations are tailored to estimate the state of the system accurately.

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Answer:

Look at the explanation below ...

Step-by-step explanation:

1. 4 more than n & 4 plus n

2. 9 less than m & m minus 9

3. g over 2 & g divided by 2

4. 4 time z & 4 multiplied by z

The two ways to write each algebraic expression in words are given below:-

1. 4 more than n & 4 plus n

2. 9 less than m & m minus 9

3. g over 2 & g divided by 2

4. 4 time z & 4 multiplied by z

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The two ways to write each algebraic expression in words.

1. 4+n = 4 more than n & 4 plus n

2.m - 9=  9 less than m & m minus 9

3.g / 2 =  g over 2 & g divided by 2

4. 4z = 4-time z & 4 multiplied by z

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The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

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What is the equation of the line passing the point (-1, 2) with a slope m?

Answer:

fghdd rtttuyer rfggysset hhgfd ishrhr Keith ieuru

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The number of gigabytes of data she can use while staying within her budget is 4.2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Cost of the flat per month = $51.50

Cost per gigabyte = $3

g = the number of gigabytes.

Now,

Maximum cost per month = $64.10

We can make an equation.

51.50 + 3g = 64.10

Solve for g.

51.50 + 3g = 64.10

Subtract 51.50 on both sides.

3g = 64.10 - 51.50

3g = 12.6

Divide 3 into both sides.

g = 12.6/3

g = 4.2

Thus,

The number of gigabytes she can use is 4.2.

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Answer:

No

Step-by-step explanation:

To solve, input 1 for x and -3 for y

y < x - 1

-3 < 1 - 1

-3 < 0

TRUE

y > -x + 2

-3 > -1 + 2

-3 > 1

FALSE

SSR represents the amount of variation in Y that is explained in regression analysis.

It is also known as the sum of squares due to regression, which measures the difference between the predicted values and the actual values of the dependent variable (Y).

The higher the value of SSR, the better the fit of the regression line to the data. This is because a higher SSR indicates that more of the variation in Y is being explained by the independent variable (X).

Therefore, the correct answer to the multiple choice question is "The amount of variation in Y that is explained."

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Answer:

Step-by-step explanation:

THe oppsite is that the fraction is a whole number think of it as 1/2 as a unit fraction

Answer:

-1/4

Step-by-step explanation:

its the opposite.

Answer:

$32.09

Step-by-step explanation:

Um....yeah I just used an online calculator lol

There are 210 different flag signals that can be made when there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags. To solve the given problem, we can use the concept of permutation, which is used to count the number of possible arrangements of objects.

The given flag signals consist of 3 indistinguishable red flags, 2 blue flags, and 2 white flags arranged vertically. The total number of flags is 7. Therefore, the total number of different flag signals that can be made can be calculated by using the following permutation formula:                                                                                                                                nPr = n! / (n - r)!                                                                                                                                                                       where n is the total number of objects, and r is the number of objects selected for each arrangement. In this case, n = 7 since there are 7 flags, and r = 7 since each arrangement consists of all 7 flags.

Now, let's calculate the number of ways to arrange the 7 flags such that they are all unique. To do this, we can use the permutation formula:                                                                                                                                                                   7P7 = 7! / (7 - 7)! = 7! / 0! = 7! = 5040. However, in this problem, there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags. Therefore, we must divide the total number of unique arrangements by the number of arrangements of each group of indistinguishable objects. To do this, we can use the following permutation formula:                                                       n! / (n1! * n2! * ... * nk!),                                                                                                                                                                        where n is the total number of objects, and n1, n2, ..., nk are the number of objects in each group of indistinguishable objects. In this case, we have 3 indistinguishable red flags, 2 indistinguishable blue flags, and 2 indistinguishable white flags. Therefore, the total number of different flag signals that can be made is given by:                                                          7P7 / (3! * 2! * 2!) = 5040 / (6 * 2 * 2) = 210.

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Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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Answer:

a x (23a+5a^4 - 11)

Step-by-step explanation:

(a x (13a - 6a^4 - 2) + 10a^2 + 11a^5 - 9a

rewite the expression and remove any unnecessary parentheses.

a x (13a - 6a^4 -2) + 10a^2 +11a^5 - 9a

factor the expression.

a x (23a - 6a^4-2+11a^4-9)

connect like terms.

your welcome

Answer:

See below.

Step-by-step explanation:

The question doesn't ask you to find the area, it just ask for the expression that represents the area.

The area of rectangle is A=bh, where b and h are each of the side lengths.

Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:

\((2x+7)(5x+9)\)

To find the degree and classification, expand the factors:

\(=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63\)

Thus, this is a second degree quadratic expression

And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.

.

Answer:

see below

Step-by-step explanation:

Part A

(2x+7) ( 5x+9)

Foil

first 2x*5x = 10x^2

outer: 2x*9 = 18x

inner: 7*5x= 35x

last: 7*9 = 63

Add together

10x^2 +18x+35x+63

10x^2+53x+63

Part B

This is a second degree polynomial called a quadratic

Part C

When we multiply two polynomials together, we get another polynomial.  This is the closure property for multiplication of polynomials

Answer:AC>BC>AB

Step-by-step explanation:We can compare the lengths of the sides with the angles given the side opposite to the largest angle is the largest and vice versa.

Angle ABC=75 greatest angle therefore the side opposite to it is the largest.

Answer:

sdd

Step-by-step explanation:

seds

Answer:

The set of books for 15 with a 15% discount is 12.75

The Blue-ray player is 36.96

The jeans are 14.8

The bicycle is 93.5625

and the sneakers are 26.86

Step-by-step explanation:

Make the percents into decimals then subtract that decimal by 1. After you mutiply the decimal by the original amount to get your answer

The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer:

-11, 4, and 22

Step-by-step explanation:

Expression: 3b-5

when b=-2

Expression: 3(-2)-5=-11

When b=3

Expre; 3(3)-5=4

When b=9

Expre; 3(9)-5=22

The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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Answer:

Option number D) Square root of 6

Step-by-step explanation:

square root of 16 = 4 and it can be express in p/q form as 4/1, 4/2 etc.

(a) If the curl of F is zero, then F is conservative.

(b)  the line integrals of F over curves C1 and Cs which start and end at the same point are equal.

(c) the same curve in the opposite direction are equal.

(d) the line integral of F over a simple closed curve C is zero.

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

(a) A vector field F is conservative if it is the gradient of a scalar potential function f, i.e., F = ∇f.

To check if a vector field is conservative, we can compute the curl of F. If the curl of F is zero, then F is conservative. Mathematically, this can be expressed as curl(F) = 0.

(b) If things are "nice," i.e., all curves are simple curves in a simply connected region D and all functions are continuously differentiable on D, then the line integrals of F over curves C1 and Cs which start and end at the same point are equal. Mathematically, this can be expressed as ∫C1 F · dr = ∫Cs F · dr.

(c) If things are "nice," then the line integrals of F over curves C1 and -Ci, the same curve in the opposite direction, are equal. This result holds even if we do not know that F is conservative. Mathematically, this can be expressed as ∫C1 F · dr = -∫Ci F · dr.

(d) If things are "nice," then the line integral of F over a simple closed curve C is zero. This result holds if and only if F is conservative. Mathematically, this can be expressed as ∮C F · dr = 0 if and only if F is conservative.

Hence, (a) If the curl of F is zero, then F is conservative.

(b)  the line integrals of F over curves C1 and Cs which start and end at the same point are equal.

(c) the same curve in the opposite direction are equal.

(d) the line integral of F over a simple closed curve C is zero.

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The frog needs 10 leaps to escape the well

Polya's four-step problem-solving strategy is as follows:

Step 1: Understand the problem.

We are given that a frog is at the bottom of a 19-foot well. Each time the frog leaps, it moves up 3 feet. If the frog has not reached the top of the well, it slides back 1 foot before it is ready to make another leap. We are asked to find out how many leaps the frog needs to escape the well.

Step 2: Devise a plan.

To solve this problem, we need to determine how many leaps the frog needs to reach the top of the well. We can use a table to keep track of the frog's progress. Each row of the table represents a leap, and each column represents the frog's position after each leap.

Step 3: Carry out the plan.

Table:

According to the table inserted above, the frog needs 10 leaps to escape the well.

Step 4: Evaluate the solution.

We can verify our answer by checking the last row of the table. After the 10th leap, the frog reaches a position of 21 feet, which is above the top of the well. Therefore, the frog has escaped the well in 10 leaps.

Therefore, the frog needs 10 leaps to escape the well.

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The combined cost of c dollars is a xπx² + 2πxhb. The volume of the tank will be V = πx²h. Maximum value of V is when c > 2a(2hb).

a. The cost of the base is given by a xπx², and the cost of the curved surface is given by 2πxhb. The combined cost of the base and curved surface is given by:

c = a xπx² + 2πxhb

b. To find the volume of the tank, we can use the formula for the volume of a cylinder:

V = πx²h

Substituting in the expression for c from part (a), we have:

V = πx²h = πx²(c - 2πxhb) / a

c. To find the maximum value of V, we can differentiate with respect to x and set the derivative equal to 0:

dV/dx = 2πx(c/a - 2hb) = 0

Solving for x, we get:

x = (c / 2a) / (2hb)

Since x is the radius of the tank, it must be positive, so we must have c > 2a(2hb) for the maximum value of V to exist.

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