Attempts to find the inverse by cross-multiplying and an attempt to collect all the x-terms (or swapped y-terms) onto one sideM1:A fully correct method to find the inverse a level edexcel maths

Answer: the last one is 5/11

Step-by-step explanation:

just simplify you can use mathvvay to simplify

Answer:

The first one is 5/9 and 75/135 and the answer to the second is 5/11

Step-by-step explanation:

The answer for the second would be 5/11 because 11x2 is 22 and 5x2 is 10 pls mark as brainliest!

Answer:

6

Step-by-step explanation:

You would first divide 48/8 than you would get 8 baskets per minute.

Answer:

6

Step-by-step explanation:

Mario: 1 minute = 5 baskets and 5 x 6 = 30.

Chris: 1 minute = 6 baskets and 6 x 8 = 48.

A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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Answer:

2x - 3x -6y - 5y +35x

Step-by-step explanation:

-3 multiplied by x is -3x

-3 multiplied by +2y is -6y

-5 multiplied by y is -5y

-5 multiplied by -7x is +35x

2x remains the same.

Answer:

c. 2x – 3x – 6y – 5y + 35x

Step-by-step explanation:

edge 2021

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The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer: x= 4/1289 not sure if this was what you were looking for.

Step-by-step explanation:

Step 1: Subtract 143x from both sides.

1432x−3−143x=143x+1−143x

1289x−3=1

Step 2: Add 3 to both sides.

1289x−3+3=1+3

1289x=4

Step 3: Divide both sides by 1289.

1289x/1289 = 4/1289

x= 4/1289

D and F are functions on an appropriate domain. A, C, and D are functions that take in a real number and output a real number, so they are valid functions on the domain of real numbers.

A domain is a set of names or IP addresses that are associated with a particular website or web server. It is what allows users to access a website's content using a web browser. Domains are typically purchased from a domain registrar and can be used to host websites, email accounts, and other services.

B and F are invalid functions because they take in a real number and output something that is not a real number.

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Answer:

5/57 is the answer i think so dont get mad if wrong.

if right mark brainlyest

Step-by-step explanation:

Answer:

y = 4, x=1 or x=110

Step-by-step explanation:

1. 4y-2=18                      2. x/2+5=11

       -2  -2                         x/10=11

4y = 16                               x=1

4y/4 = 16/4                         or

y=4                                  x/10=11

                                       0.1x=11

                                        0.1x/0.1 = 11/0.1

                                         x=110

The nullspace of A is the set of all scalar multiples of the vector [1;-2;1].

As a language model, I do not have access to the specific exercises you are referring to. However, I can provide a general explanation of how to find the nullspace of a matrix.

The nullspace of a matrix A is the set of all solutions to the equation Ax = 0. In other words, it is the set of all vectors x that satisfy the equation Ax = 0.

To find the nullspace of a matrix, we need to solve the equation Ax = 0. This can be done by reducing the matrix A to its reduced row echelon form (RREF) using row operations. The RREF will have a certain structure that makes it easy to identify the solutions to the equation Ax = 0.

The RREF of a matrix A will have one or more leading 1's in each row, with all other entries in the row equal to 0. The columns containing the leading 1's are called pivot columns, and the columns without leading 1's are called free columns.

If a column is a pivot column, then the corresponding variable is a basic variable and can be expressed in terms of the free variables. If a column is a free column, then the corresponding variable is a free variable and can take on any value.

Using this information, we can express the solutions to the equation Ax = 0 in terms of the free variables. The nullspace of A is then the set of all linear combinations of the free variables that satisfy the equation Ax = 0.

For example, consider the matrix A = [1 2 3; 4 5 6; 7 8 9]. To find its nullspace, we first find its RREF:

[1 0 -1; 0 1 2; 0 0 0]

The RREF has two pivot columns (columns 1 and 2) and one free column (column 3). The corresponding variables are x1 and x2 (basic variables) and x3 (free variable). Expressing the solutions in terms of the free variable, we get:

x1 = x3

x2 = -2x3

The nullspace of A is then the set of all linear combinations of the free variable x3:

null(A) = {t[1;-2;1] : t is a scalar}

So, the nullspace of A is the set of all scalar multiples of the vector [1;-2;1].

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Answer:

Step-by-step explanation:

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60) = \frac{AB}{1250}}\)

Make AB the subject

\(\mathbf{AB = 1250 \times \tan(60)}\)

Next, we calculate distance AC using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}\)

\(\mathbf{\tan(70) = \frac{AB + BC}{1250}}\)

Make AB + BC, the subject

\(\mathbf{AB + BC = 1250 \times \tan(70)}\)

Make BC the subject

\(\mathbf{BC = 1250 \times \tan(70) - AB}\)

Substitute \(\mathbf{AB = 1250 \times \tan(60)}\)

\(\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}\)

\(\mathbf{BC = 1269}\)

Hence, the distance between the two skyscrapers is 1269ft

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The sequence of transformation is reflection over the y-axis, followed by a 90 degrees counter-clockwise rotation about the origin

Here, we want to describe the kind of transformation that gave B from A

Firstly, what we have here is a reflection across the vertical y-axis

Then after this reflection, what followed was a 90 degrees counterclockwise rotation about the origin

Answer:

20

Step-by-step explanation:

4+40-3(8)

44-24

20

Answer: 20

Step-by-step explanation:

(2)^2+4(10)-3(10-2)

PEMDAS!

(2)^2+4(10)-3(8)

4+4(10)-3(8)

4+40-24

44-24

20

An inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

From Newton's second law of motion,

mass × acceleration = Force acting on the mass

Resolving the force F along x and y directions and applying Newton's second law of motion,

Using,

\(r = \sqrt{x^2+y^2}\)

​

Therefore,

\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and cos⁡θ = \(\frac{x}{\sqrt{x^2+y^2} }\)

Similarly using,

\(r = \sqrt{x^2+y^2}\)

we get,

 \(m\frac{d^2y}{dt^2} = -|F|sin\theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)

Therefore we showed that holds

\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)

Hence the answer is an inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

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Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

The functions f1(t) = 4t-3, f2(t) = t2 + 1, and f3(t) = 6t2 - t are linearly independent.

To determine whether the functions are linearly dependent or independent, we need to check if there exist constants c1, c2, and c3, not all zero, such that c1f1(t) + c2f2(t) + c3f3(t) = 0 for all t.

Assume that there exist such constants. Then, we have:

c1(4t-3) + c2(t2 + 1) + c3(6t2 - t) = 0

Simplifying this equation, we get:

(6c3)t2 + (c2)t + (4c1 - c3) = 3c1 - c2

This is a polynomial equation in t, and it must hold for all t. Therefore, the coefficients of the polynomial must be equal to zero. This gives us the following system of equations:

6c3 = 0

c2 = 0

4c1 - c3 = 0

From the first equation, we have c3 = 0. Substituting this in the third equation gives us c1 = 0. But then, the second equation implies that c2 = 0 as well. Therefore, the only solution to the system of equations is c1 = c2 = c3 = 0. This means that the functions are linearly independent.

Therefore, we conclude that the functions f1(t) = 4t-3, f2(t) = t2 + 1, and f3(t) = 6t2 - t are linearly independent.

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Answer:

(-5, -7) and (-2, -1)

Step-by-step explanation:

The graph of y = h(x) is a line segment joining the points (−7, −5) and (-1, -2).  (Blue line on the attached graph).

The graph of the inverse function is a reflection in the line y = x.

Therefore, the endpoints of the inverse function are:

The graph of the inverse function y = h⁻¹(x) is shown in green on the attached graph.

Answer:

(-5, -7) and (-2, -1)

Step-by-step explanation:The graph of y = h(x) is a line segment joining the points (−7, −5) and (-1, -2).  (Blue line on the attached graph).The graph of the inverse function is a reflection in the line y = x.Therefore, the endpoints of the inverse function are:(-5, -7) and (-2, -1)The graph of the inverse function y = h⁻¹(x) is shown in green on the attached graph.

Step-by-step explanation:

11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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Answer:

  2.76×10^-3 m/s²

Step-by-step explanation:

You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².

The acceleration of one body by another is ...

  a = GM/r²

where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.

  a = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg

  a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²

Answer:

The expression you use to find the amount of miles would be 5xT=X miles.

or 5t

You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.

The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.

If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.

In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.

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Answer:

p<11-4

p<7

Step-by-step explanation:

we have 4+p<11 where we send 4 in another side and we get p<11-4 =p<7

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

Sarah has a larger average

Step-by-step explanation:

to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.

Answer:

THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN

Step-by-step explanation:

Answer:

165 g

Step-by-step explanation:

Median means the middle number so here the middle number is 165g.

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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