simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a if l write tge answers as 1a- 6ab is it correct ?​

The solution of the given function will be F(4)=14

Since we know that Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.

We have been given a function as;

F(x)=3x+2

F(4)=3x+2

WE have to substitute the value of x as 4 then we get;

F(4)=3(4)+2

F(4)=14

Therefore, the value of the given function will be as 14.

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The combinations can be calculated using the following formula:

In our case n=6 and r=2, then:

Hence the answer is 15

Answer:

There are significant differences among the mean tensile strengths for different temperatures.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}\).

Hₐ: There is a significant difference between the means, i.e.at least one of the mean is different.

Use MS-Excel to perform the analysis of variance.

Go to Data → Data Analysis → Anova: Single Factor.

A dialog box will open.

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-value is, 8.40458.

The p-value of the test is, 0.00139.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.00139 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Concluding that there are differences among the mean tensile strengths for different temperatures.

Answer:

0.416667 foot

Step-by-step explanation:

Answer: 0.41666667

Step-by-step explanation:

From the internet

Answer:

\(P = 24k-6m\)

Step-by-step explanation:

The correct expressions are:

\(W = 7k - 2m\)

\(L = 5k - m\)

Required

The perimeter (P)

This is calculated as:

\(P = 2 *(L + W)\)

So, we have:

\(P = 2 *(5k - m + 7k -2m)\)

Collect like terms

\(P = 2 *(5k + 7k- m -2m)\)

\(P = 2 *(12k-3m)\)

Open bracket

\(P = 24k-6m\)

Answer:

1/6

Step-by-step explanation:

9: 9,18,27,36,45,54,63,72,81,90

10: 10,20,30,40,50,60,70,80,90,100

Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...

5/90 x 3/90

The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6

HOPE THIS HELPED :D

Answer:

I can try my best

Step-by-step explanation:

IG: greg.7077

Answer:

Please stop spamming this 0-0

Step-by-step explanation:

I don't want to be rude but its a little annoying

One possible equation is (6b+2)+40 = 90

That equation solves to b = 8

======================================================

Explanation:

The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.

So (6b+2)+40 = 90 is one possible equation.

Let's solve for b.

(6b+2)+40 = 90

6b+42 = 90

6b = 90-42

6b = 48

b = 48/6

b = 8

---------------

A slight alternative.

The angles (6b+2), 40, and the 90 degree angle form a straight line.

The three angles add to 180

(6b+2)+(40)+(90) = 180 is another possible equation

6b+132 = 180

6b = 180-132

6b = 48

b = 48/6

b = 8

Answer:

For #3 it is 7/56

Step-by-step explanation:

Multiply 7/8 by 7!

Answer:

15.5

Step-by-step explanation:

23-20=3

6x-3=90

3-90=93

93÷6=15.5

Answer:

14.5

Step-by-step explanation:

i got it right on the test

Answer:

7 6/7 tons.

Step-by-step explanation:

2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.

The product of these two numbers is 55/7 tons, or 7 6/7 tons.

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

____________________________________

\( \large \tt Solution \: : \)

The values of x for which curves cuts/touches the x - axis are the roots of that particular polynomial.

And that polynomial can be depicted in form :

\(\qquad \tt \rightarrow \: a(x - h1) (x - h2) (x - h3)........ (x - hn) = 0\)

[ where, h1, h2, h3... hn represents roots of that polynomial, and " a " is the stretch of curve]

And by that, we can sort out the roots of given polynomial that are :

Since there are four roots, the least degree polynomial formed will have bi - quadratic polynomial.

And it will be represented as :

\(\qquad \tt \rightarrow \: y=a(x - ( - 3)) (x - ( - 2))(x - 1)(x - 2) \)

\(\qquad \tt \rightarrow \:y=a (x + 3)(x + 2)(x - 2)(x - 1) \)

And it can be further solved to get ~

\(\qquad \tt \rightarrow \: y=a(x + 3)( {x}^{2} - 4)(x - 1)\)

\(\qquad \tt \rightarrow \:y= a( {x}^{2} - 4)( {x}^{2} + 2x - 3)\)

\(\qquad \tt \rightarrow \: y=a( {x}^{4} + 2 {x}^{3} - 3 {x}^{2} - 4 {x }^{2} - 8x + 12)\)

\(\qquad \tt \rightarrow \: y=a({x}^{4} + 2 {x}^{3} - 7{x }^{2} - 8x + 12)\)

Now, it's time to evaluate the value of a, for that we can just use a point that satifys the curve ( i.e (0 , -2)

plug in the values :

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0⁴ +2(0)³-7(0)²-8(0) + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0 +0-0-0 + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a( 12 )} \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -2 ÷ 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -1/6} \)

Therefore, the required equation is :

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

x = 28

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Then x/(x +10) = 42/(42 +15)

x(57) = 42(x + 10)

57x = 42x + 420

15x = 420

x = 28

The theorem that justifies the similarity of the two triangles is given as follows:

A: AA.

The Angle-Angle (AA) Congruence Theorem states that if two pairs of corresponding angles are congruent, then the triangles are similar.

In other words, if two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle must also be equal in measure, and the two triangles are therefore congruent.

The two pairs of corresponding angles that are congruent in this problem are given as follows:

Hence the third angle will also have the same measure for both triangles.

Hence the AA theorem can be used and the correct option is given by option A.

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The Solution to Question 1:

Kaitly's painting class meets for 1.25 hours twice a week.

This means that in 1 week:

We are required to find the number of hours Kaitly will spend in the painting class for 4 weeks.

Therefore, the correct answer is 10 hours.

Answer:

The cost of buying salad per pound) is more than or equal to $4.50.

Step-by-step explanation:

The inequality represents the cost of at least $4.50 will be x ≥ 4.50 thus option (A) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

The cost of salad is at least $4.50 thus means it is the minimum cost so x ≥ 4.50 refers to the cost equal and more than $4.50.

Hence "The inequality indicates that the price will be x ≥ 4.50, which must be at least $4.50".

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Answer:

70,79

Step-by-step explanation:

jwhsbsvevshwksksnbs

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

A)  A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program.

The courses were not listed, but let's assume the courses are:

EPR 646,

EPR 602

EPR 679

EPR 622

EPR 684

In this case, we can see there are 5 possible courses.

Selecting them:

\(^5C_2 = \frac{5*4*3*2*1}{2*(5-2)!} = 10\)

Therefore, there are 10 selections.

All possible two course selections:

(622,602); (622, 684); (622, 679);  (622, 646); (646, 602); (646, 679)

(646,684);  (602, 684); (602, 679);

(679, 684)

b) Likelihood that EPR 646 and EPR 679 will be selected

From the data abeve, EPR 646 and EPR 679 can be selected just once.

Therefore, the likelihood =

P(selecting EPR 646 and EPR 679) = \(\frac{num. of . times. event. occured}{total. number. of. outcome} =\frac{1}{10}\)

Likelihood that EPR 646 and EPR 679 will be selected is \(\frac{1}{10}\) = 0.1

Answer:A student entering a doctoral program in educational psychology is required to select courses from the list of courses provided as part of his or her program.

​(a) List all possible ​-course selections.

​(b) Comment on the likelihood that will be selected

Step-by-step explanation:

It depends they are at the time your asking the question

Answer:

I'm going with the first one

Step-by-step explanation:

The velocity experimented by the car is equal to - 1 feet per second.

Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:

y = m · t + b

Then, the functions for the velocity and acceleration are shown below:

Velocity

dy / dt = m

The slope represents the velocity of the car.

Acceleration

d²y / dt² = 0

Then, the velocity of the car is found by means of the secant line formula:

dy / dt = (0 ft - 10 ft) / (10 s - 0 s)

dy / dt = - 1 ft / s

The velocity of the car is - 1 feet per second.

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Answer:

me

Step-by-step explanation:

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

The answer is b

Step-by-step explanation:

(-3,1)

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

To solve such problems we must know about the system of equations and underdetermined systems.

The system of equations doesn't have a unique solution.

When a system of equations has more variables than the equation, therefore, it has fewer rules to curb the variables, giving the variables more freedom to take up values from their respective domain(Usually it is a set of real numbers), in such a condition the system of equations has infinite solutions. This kind of system is known as an underdetermined system.

Hence, the system of equations doesn't have a unique solution.

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Answer:

\(y - 4 = - 3(x - 2)\)