what is equivalant to - 2 ( -6x + 3y - 1)?​

Answer:

A. The shirt at Store "A".

Step-by-step explanation:

How to find 10% of 28.

First, we need to convert 10% into a decimal.

To do that, we just divide the number by 100.

[tex]\frac{10}{100}[/tex] [tex]= 0.1[/tex]

Now, we take the original number (28) and multiply it by the decimal

[tex]28 x 0.1 = 2.8[/tex]

Finally, we subtract.

[tex]28.00 - 2.80 = 25.20[/tex]

[tex]25.20[/tex] > [tex]25.00[/tex]

Therefore, Store "A" Has the cheapest shirt

93 chocolate chip cookies

The average normal stress in the links connecting:

(a) points B and D is:

|σ_max| = 13.7 MPa

(b) points C and E is:

|σ_max| = 13.0 MPa

To determine the maximum value of the average normal stress in the links connecting points B and D, we need to calculate the bending moment and the axial force in the link. Assuming the links are in pure bending, we can use the bending stress formula to calculate the maximum normal stress:

σ_max = Mc / I

where M is the bending moment, c is the distance from the neutral axis to the outer fiber, and I is the moment of inertia of the cross-sectional area.

The bending moment in the link BD can be calculated as the sum of the moments due to the applied loads and the reactions at the pins. The axial force can be calculated as the sum of the forces in the link due to the applied loads.

M = 4kN * 80mm - 8kN * 120mm = -640 Nm

F = 4kN - 8kN = -4kN

        I = bh³ / 12

        I = (8mm) * (36mm)³ / 12 = 186624 mm⁴

       σ_max = (-640 Nm) * (4mm) / 186624 mm⁴ = -13.7 MPa

        |σ_max| = 13.7 MPa

       M = 4kN * 40mm + 8kN * 80mm = 800 Nm

        F = 4kN + 8kN = 12kN

I = bh³ / 12 = (36mm) * (8mm)³ / 12 = 24576 mm⁴

       σ_max = (800 Nm) * (4mm) / 24576 mm⁴ = 13.0 MPa

       |σ_max| = 13.0 MPa

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Answer:

The amount the company charges in dollars can be represented as a linear function of the number of hours the employee works. We can use the slope-intercept form of a linear equation to graph this relationship:

y = mx + b

where y is the amount charged in dollars, x is the number of hours worked, m is the hourly rate charged by the company, and b is the initial charge for coming to the customer's home.

In this case, we have:

m = $50/hour (hourly rate)

b = $25 (initial charge)

Substituting these values into the equation, we get:

y = 50x + 25

This is the equation of a line with a slope of 50 and a y-intercept of 25. To graph this line, we can plot the y-intercept at (0, 25) and then use the slope to find other points on the line. For example, if the employee works for 1 hour, the company will charge:

y = 50(1) + 25 = $75

So we can plot the point (1, 75) on the graph. Similarly, if the employee works for 2 hours, the company will charge:

y = 50(2) + 25 = $125

So we can plot the point (2, 125) on the graph.

By connecting these points with a straight line, we get the graph of the linear function that represents the relationship between the number of hours worked and the amount charged by the company:

Step-by-step explanation:

Answer:

It has letters

Step-by-step explanation:

The area of the resulting two-dimensional cross-section is 480 inch².

The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

The Resulting Cross section will Have the Size

= 20 inch by 14 inch

So, Area of two dimensional Cross section

=  20 x 14

= 240 inch²

As prism is Sliced so this cross section will on the face of two prism.

Then, the Total cross section area

= 2 x 240

= 480 inch²

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The expected number of points per roll is -1.5.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Outcomes when rolling a number cube.

= 1, 2, 3, 4, 5, or 6.

If the number is odd, you win the same number of points as the number on the cube.

So,

If the number is 1, you win 1 point.

If the number is 3, you win 3 points.

If the number is 5, you win 5 points.

Now,

If the number is even, you lose 4 points.

If the number is 2, you lose 4 points.

If the number is 4, you lose 4 points.

If the number is 6, you lose 4 points.

The probability of rolling an odd number.

= 3/6

= 1/2

Similarly,

The probability of rolling an even number.

= 3/6

= 1/2

Now,

The expected number of points per roll.

= Probability of rolling an odd number x (1 + 3 + 5) + Probability of rolling an even number  x (-4 - 4 - 4)

= (1/2) x (1 + 3 + 5) + (1/2) x (-12)

= (1/2) x 9 - 6

= 9/2 - 6

= (9 - 12)/2

= -3/2

= -1.5

Thus,

The expected number of points per roll is -1.5.

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The region bounded by[tex]x=3√3y,x=0,y=5[/tex] is rotated about the y-axis to form a solid. The volume of this solid is V. The region, the solid and a typical disk or washer can be sketched using the given curves.

To calculate the volume V of the solid obtained by rotating the region bounded by [tex]x=3√3y,x=0,y=5[/tex]about the y-axis, we will use the equation [tex]V=π∫a b[(R)^2-(r)^2]dy,[/tex] where R is the outer radius, r is the inner radius, a is the lower limit of the integral and b is the upper limit of the integral. Substituting the given values, we get

[tex]V=π∫0 5[(3√3y)^2-(0)^2]dy[/tex]

This simplifies to [tex]V=π∫0 5[9y^2]dy.[/tex] Integrating this expression, we get [tex]V=π(5^3-0^3)[/tex]. Substituting the limits, we get [tex]V=π(5^3-0^3)[/tex]. This simplifies to V=125π. Hence, the volume of the solid is 125π.

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First we multiply 9 and 15, which is 135cm. 100cm = 1m so the plant will grow 1.35m, so the plant is now 9.35m

Answer:

3 over 18 puppies per litter

Step-by-step explanation:

usually, you want to go with the smaller number first, it's like a fraction.

The difference between the highest guess and the lowest guess, in the whole number, is 120.

Mathematical operations include subtraction. It is employed in order to exclude phrases or objects from the expression.

Given:

A table that shows the relationship between the guessed amount and the number of weeks.

Week          Amount

1                      120

2                      140

3                      160

4                      240

Here, the highest guess is 240.

And the lowest guess is 120.

The difference  between the highest guess and the lowest guess,

= 240 - 120

= 120

120 is a whole number.

Therefore, 120 is the required number.

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The complete question:

A table that shows the relationship between the guessed amount and the number of weeks.

Week          Amount

1                      120

2                      140

3                      160

4                      240

What was the difference between the highest guess and the lowest guess? Write your answer as a fraction, mixed number, or whole number

A function f with domain R is strictly increasing provided that - f(x) < f(y).

A function f with domain R is not strictly increasing provided that - f(x) >= f(y).

A function f with domain R is not strictly increasing provided that -  x < y, but f(x) >= f(y)

(a) A function f with domain R is strictly increasing provided that for all real numbers x and y, if x < y, then f(x) < f(y).

(b) A function f with domain R is not strictly increasing provided that there exist real numbers x and y such that x < y, but f(x) >= f(y).

(c) A function f with domain R is not strictly increasing provided that there exist two real numbers x and y such that x < y, but f(x) >= f(y), i.e., the function does not strictly increase between x and y.

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The correct statement about the ordered pair (-4,0) and the system of equations is given as follows:

The ordered pair (-4,0) is a solution to the system because it makes both equations true.

The system of equations for this problem is defined as follows:

The ordered pair (-4,0) means that when x = -4, y = 0.

Hence we verify if the first equation is satisfied, as follows:

2(-4) + 0 = -8

-8 = -8 -> Satisfied.

For the second equation, we have that:

-4 - 0 = -4

-4 = -4 -> Satisfied.

As both equations are satisfied, the ordered pair is a solution for the system of equations.

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Answer:

Its not A!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Its not!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

The number in standard form is 304.014.

Answer:

The Standard form of the number is 44,410.

What is Multiplication?

To multiply means to add a number to itself a particular number of times.

 Multiplication can be viewed as a process of repeated addition.

Here, given number(3 X 100) + (1 X 110) + (4 X 11000)(300) + (110) + (44000)300 + 110 + 44000410 + 4400044410

Thus, the Standard form of the number is 44,410.

The ordered bases for the T-cyclic subspaces generated by z in (a), (b), (c), and (d) are[tex]B={e1, Te1, T^2e1, T^3e1}, B={x^3, 3x^2, 6x, 6}, B={(0 1 1 0), (1 0 0 1), (0 1 -1 0), (-1 0 0 -1)}[/tex] and [tex]B={(0 1 1 0), (1 2 2 2), (2 3 3 3), (3 4 4 4)}[/tex], respectively.

a)The T-cyclic subspace generated by z = e1 = (1,0,0,0) is spanned by the vectors e1, [tex]Te1=(1,b,-c,a+d), T^2e1=(b,-c,a+c,2a+d)[/tex] and [tex]T^3e1=(-c,a+c,2a+d,3a+2d)[/tex]. So the ordered basis for the T-cyclic subspace generated by e1 is [tex]B={e1, Te1, T^2e1, T^3e1}[/tex].

b)The T-cyclic subspace generated by [tex]z=x^3[/tex] is spanned by the vectors [tex]x^3, Tx^3=3x^2, T^2x^3=6x, T^3x^3=6[/tex]. So the ordered basis for the T-cyclic subspace generated by x^3 is [tex]B={x^3, 3x^2, 6x, 6}[/tex].

c)The T-cyclic subspace generated by z=(0 1 1 0) is spanned by the vectors (0 1 1 0), [tex]T(0 1 1 0)=(1 0 0 1), T^2(0 1 1 0)=(0 1 -1 0), T^3(0 1 1 0)=(-1 0 0 -1)[/tex]. So the ordered basis for the T-cyclic subspace generated by (0 1 1 0) is [tex]B={(0 1 1 0), (1 0 0 1), (0 1 -1 0), (-1 0 0 -1)}[/tex].

d)The T-cyclic subspace generated by z=(0 1 1 0) is spanned by the vectors (0 1 1 0). So the ordered basis for the T-cyclic subspace generated by (0 1 1 0) is [tex]B={(0 1 1 0), (1 2 2 2), (2 3 3 3), (3 4 4 4)}[/tex].

The ordered bases for the T-cyclic subspaces generated by z in (a), (b), (c), and (d) are [tex]B={e1, Te1, T^2e1, T^3e1}, B={x^3, 3x^2, 6x, 6}, B={(0 1 1 0), (1 0 0 1), (0 1 -1 0), (-1 0 0 -1)}[/tex], and [tex]B={(0 1 1 0), (1 2 2 2), (2 3 3 3), (3 4 4 4)}[/tex], respectively.

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So x → T(S(x)) satisfies homogeneity.

x → T(S(x)) is a linear transformation from P to M.

The completed statement is: "T maps n onto m if and only if A has pivot columns in every row."

One theorem that explains why this is true is the Rank-Nullity Theorem, which states that the rank of a matrix plus the nullity of the matrix (the dimension of the nullspace) equals the number of columns. If A has pivot columns in every row, then the rank of A is equal to the number of rows, which means that the nullity is 0, and therefore T is onto. Conversely, if T is onto, then the range of T has dimension equal to the number of rows, which means that the rank of A is equal to the number of rows, so A has pivot columns in every row.

To show that the mapping x → T(S(x)) is a linear transformation, we need to show that it satisfies the two properties of linearity: additivity and homogeneity.

Additivity: Let x and y be vectors in P. Then we have:

T(S(x + y)) = T(S(x) + S(y)) (by definition of + in P)

= T(S(x)) + T(S(y)) (since T is linear)

= (x → T(S(x))) + (y → T(S(y))) (by definition of the mapping)

= (x + y) → (T(S(x)) + T(S(y))) (by definition of + in M)

So x → T(S(x)) satisfies additivity.

Homogeneity: Let x be a vector in P and let c be a scalar. Then we have:

T(S(cx)) = T(cS(x)) (by definition of scalar multiplication in P)

= cT(S(x)) (since T is linear)

= c(x → T(S(x))) (by definition of the mapping)

So x → T(S(x)) satisfies homogeneity.

x → T(S(x)) is a linear transformation from P to M.

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The largest and smallest degree of f(x) + a * g(x) if  a be a constant is 4 and 1 respectively.

According to the question  f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1

f(x) + a * g(x) = x^4-3x^2 + 2 + a( 2x^4 - 6x^2 + 2x -1)

                    = x^4(1 + 2a)x^4 +(-3-6a)x^2 +2 + 2ax -a

The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.

The largest possible degree of f + ag is 4

When a = -1/2, the first two terms disappear and the sum becomes

f + ag = -x +1/2

The smallest possible degree of f + ag is 1.

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Answer:

There are 3.28542 months in 100 days.

Step-by-step explanation:

For every 100 days, there are approximately 3.28542 months. To solve for any given number of days, divide the time value by 30.417.

For example, to solve for 200 days:

Therefore, 100 days make approximately 3.28542 months.

Answer:

Step-by-step explanation:

Value in months = value in days × 0.0328542

Value in months = 100 × 0.0328542 = 3.28542 (months)

Answer:

.534

Step-by-step explanation:

add, then convert meters to kilometers

Yes, the given figure is a parallelogram.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given is a parallelogram as shown in the image.

We have -

S(0, 0), T(3, 0), U(4, 3), V(1, 3)

For the figure to be parallelogram, we will have to prove -

ST = VU   &   SV = TU

We can calculate -

ST = 3

VU = 3

SV = 3.1

TU = 3.1

So -

ST = VU   &   SV = TU

Hence, it is a parallelogram.

Therefore, yes, the given figure is a parallelogram.  

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The vertex form of the equation is,

⇒ y = (d - 4)² - 26

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ y = d² - 8d - 10

Now, We can change in vertex form as;

⇒ y = d² - 8d - 10

⇒ y = d² - 8d + 16 - 16 - 10

⇒ y = (d - 4)² - 16 - 10

⇒ y = (d - 4)² - 26

Thus, The vertex form of the equation is,

⇒ y = (d - 4)² - 26

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The binomial distribution is solved as

a) The probability that no more than 2 students out of the random 5  plan to go out on vacation is P ( X ≤ 2 ) = 0.0579

b) The probability that more than 2 students out of the random 5  plan to go out on vacation is P ( X > 2 ) = 0.9421

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability be represented as P

Now , the total number of trials = 5

The number of students going for vacation be represented as n

Now , the probability of success p = 0.8

So , the value of q = 0.2

a)

The probability that no more than 2 students out of the random 5  plan to go out on vacation is P ( X ≤ 2 ) = P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

Substituting the values , we get

The probability that no more than 2 students out of the random 5  plan to go out on vacation is P ( X ≤ 2 ) = 0.0579

The probability that no more than 2 students out of the random 5  plan to go out on vacation is P ( X ≤ 2 ) = 5.79 %

b)

The probability that more than 2 students out of the random 5  plan to go out on vacation is P ( X > 2 ) = P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

Substituting the values , we get

The probability that more than 2 students out of the random 5  plan to go out on vacation is P ( X > 2 ) = 0.9421

The probability that more than 2 students out of the random 5  plan to go out on vacation is P ( X > 2 ) = 94.21 %

Hence , the binomial distribution is solved

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By using the unitary method, 28 students in the school band play woodwind instruments.

Unitary method, which involves finding the value of a single unit and then using that value to find the value of multiple units. In this case, the single unit represents the percentage of students who play woodwind instruments.

Here we need to find the value of a single unit

To find the value of a single unit, we need to divide the given percentage by 100. So, 35% can be written as 0.35.

Therefore, the value of a single unit is 0.35.

Now use the unitary method to find the number of students who play woodwind instruments

Now, we can use the value of a single unit to find the number of students who play woodwind instruments. To do this, we multiply the value of a single unit by the total number of students in the band.

So, the number of students who play woodwind instruments is:

0.35 x 80 = 28

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The probability of having i children, i = 1,2,3,4,5 is 0.2, 0.4, 0.25, 0.1, 0.05 respectively. The probability that a randomly chosen child comes from a family with i children are 0.0741, 0,2963, 0.2773, 0.1481, 0.0926.

The probability that a randomly chosen family has i children is given by the ratio of the number of families with i children to the total number of families. Therefore:

P(1 child) = 4/20 = 0.2

P(2 children) = 8/20 = 0.4

P(3 children) = 5/20 = 0.25

P(4 children) = 2/20 = 0.1

P(5 children) = 1/20 = 0.05

(b) To calculate the probability that a randomly chosen child comes from a family with i children, we need to take into account the different numbers of children in each family. There are a total of 4+8x2+5x3+2x4+1x5=54 children in the community organization. Therefore, the probabilities are:

P(child from 1-child family) = 4/54 ≈ 0.0741

P(child from 2-child family) = 2x8/54 ≈ 0.2963

P(child from 3-child family) = 3x5/54 ≈ 0.2778

P(child from 4-child family) = 4x2/54 ≈ 0.1481

P(child from 5-child family) = 5/54 ≈ 0.0926

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____The given question is incomplete, the complete question is given below:

A small community organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children,2 have four children, and 1 has five children.

(a) If one of these families is chosen at random, what is the probability it has i children, i = 1,2,3,4,5?

(b) If one of the children is randomly chosen, what is the probability this child comes from a family having i children, i =1,2,3,4,5?

The solution of the system of equations given is (-7/2, 11/2)

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, a system of equations using any method x+y = 2 and -3x-y = 5,

The equations are:

x+y = 2...(i)

-3x-y = 5...(ii)

Since, the signs of y variable in the both equations are opposite, if we add both the equations the y variable will get eliminated,

Therefore, the most suitable method to solve is elimination method,

Adding equations i and ii,

(x+y = 2) + (-3x-y = 5)

-2x = 7

x = -7/2

Put x = -7/2 in eq(i)

-7/2 + y = 2

-7 + 2y = 4

2y = 11

y = 11/2

Hence, the solution of the system of equations given is (-7/2, 11/2)

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Answer:

Step-by-step explanation:To evaluate F(x) at a specific value, we simply replace x with that value in the expression for F(x). In this case, we want to find F(-3), so we substitute -3 for x in the expression for F(x):

F(-3) = 3(-3) - 5

Simplifying the right-hand side:

F(-3) = -9 - 5

F(-3) = -14

Therefore, F(-3) = -14.