Ten subtracted from the product of 5 and a number is at least -27

Given:

The relation is:

\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)

To find:

The pair of coordinates that clarify why this relation is not a function.

Solution:

A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.

The given relation is:

\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)

This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.

Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.

Answer:

Step-by-step explanation:

Any value <0 that has the absolute value taken of it, becomes positive. Any positive number stays positive when the absolute value taken of it.

abs(-2/3) = 2/3

abs(4) = 4

Answer:

4y + 92

Step-by-step explanation:

4y - 13 + 9(7) + 42 is the question

Do the brackets first so

9 x 7 = 63

becomes

4y - 13 + 63 + 42

collect like terms, so:

63 + 42 = 13 = 92

4y + 92 is the final answer because you cannot simplify it anymore

Answer:

D. 140

Step-by-step explanation:

∠ 1 + ∠ 2 = 180

So:

(3x + 20) + x = 180

4x + 20 = 180

4x = 180 - 20

4x = 160

x = 160 / 4

x = 40

∠ 1 = ∠ 4

∠ 2 = ∠ 3

If ∠ 1 is equal to ∠ 4, just plug in for x and solve.

3x + 20 = 3(40) + 20 = 120 + 20 = 140

Step-by-step explanation:

When adding or subtracting fractions, they must have a common denominator....20 is the easiest for these...this then becomes

b +  16/20  = 35/20     now subtract 16/20 from both sides of the equation

b = 35/20 - 16/20

b = (35-16)/20 =  19/20      

Answer:

i believe it is

Step-by-step explanation:

a 10.7

Answer: c

Step-by-step explanation:

we can use process of elimination because the side that x is on is bigger than the opposite side so there fore it is c

The polynomial 6x2 + 3x + 1 represents the calculator's surface area in standard form.

The problem asks us to find the polynomial that represents the area of the calculator, given that the width of the calculator is represented by (3x+1) inches and the length is twice the width. The formula for the area of a rectangle is A = L x W, where A is the area, L is the length, and W is the width.

We are given that the width is (3x+1) inches, and the length is twice the width, so the length is 2(3x+1) = 6x+2 inches. We can now substitute these values into the formula for the area to get:

A = (6x+2)(3x+1)

Expanding the product, we get:

A = \(18x^2 + 12x + 2\)

So the polynomial that represents the area of the calculator is \(18x^2 + 12x + 2\), written in standard form.

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The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

This is only one that includes 12 in its quotient, other quotients are 11 and 13 so I didn't add them :)

47.6/3.9

Step-by-step explanation:

so it is a estimate to 12 not 12 exact

Step-by-step explanation:

sorry

Answer:

A =180 in ^2

Step-by-step explanation:

The area of a rectangle is given by

A = lw where l is the length and w is the width

A = 15 * 12

A =180 in ^2

Answer: The Area of that figure would be 180

Step-by-step explanation:

You would multiply 12 and 15 to get your answer

Answer:

Undefined

Step-by-step explanation:

The equation for finding the slope is:

y2 - y1

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

x2 - x1

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

4 - (-8)

----------

-7 - (-7)

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

4 + 8

--------

-7 +7

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

12

----

0

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

The slope is Undefined, so there is no answer

From the graph, choose two points to find the values

choose (0, -1) and the vertex (1, -4)

the vertex formula of the quadratic equation is:

y = a(x – h)^2 + k

where the vertex is (h, k)

so, h = 1 and k = -4

so,

y = a (x - 1)^2 + (-4)

using the point (0, -1) to find a

so,

-1 = a ( 0 - 1)^2 - 4

a = -1 + 4 = 3

so,

y = 3(x - 1)^2 - 4

y = 3( x^2 - 2x + 1) - 4

y = 3 x^2 - 6x + 3 - 4

y = 3 x^2 - 6x - 1

1. How to find f(4)?

2. Substitution and Evaluate

\( \large{f(4) = - {(4)}^{2} - 6(4) + 12} \)

Follow BODMAS/PEMDAS rules as well! Exponent first.

\( \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}\)

3. Final Answer

Answer:

ITS 12

Step-by-step explanation:

The required rate of miles per gallon is given as 30.8 miles per gallon.

Given that,

Jack drove 38 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon is to be determined.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,

Distance = 38 1/2 mile = 38.5 mile
Fuel used = 1 1/4 = 1.25 gallon

Rate = distance/fuel
Rate = 38.5/1.25
Rate = 30.8 miles/gallon.

Thus, the required rate of miles per gallon is given as 30.8 miles per gallon.

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(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Answer:

The true options are:

2) Has exactly one pair of parallel sides

4) Has exactly one pair of congruent sides

5) Both pairs of opposite sides are congruent

7) There are right angles at all 4 vertices

9) The diagonals are congruent

10) The diagonals bisect each other.

Use the properties of logarithms to condense the expression: log₃(x²+13x+42) - log₃(x+7).

To condense the given expression, we can apply the quotient rule of logarithms, which states that the difference of two logarithms with the same base is equal to the logarithm of their quotient. In this case, we have log₃(x²+13x+42) - log₃(x+7), which can be condensed as a single logarithm using the quotient rule.

The quotient rule and the calculations for the simplification of logarithm is shown as below:

Step 1: Use the quotient rule of logarithms: logₐ(b) - logₐ(c) = logₐ(b/c).

Step 2: Apply the quotient rule to the given expression: log₃(x²+13x+42) - log₃(x+7) = log₃((x²+13x+42)/(x+7)).

Step 3: Simplify the numerator of the quotient: (x²+13x+42).

Step 4: Factor the numerator: (x+6)(x+7).

Step 5: Substitute the simplified numerator back into the expression: log₃((x+6)(x+7)/(x+7)).

Step 6: Cancel out the common factor (x+7) in the numerator and denominator: log₃(x+6).

In summary, the given expression log₃(x²+13x+42) - log₃(x+7) can be condensed to log₃(x+6) using the properties of logarithms.

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The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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The lateral and surface area of the given shape above in terms of π would be = 48π yd²:120π yd². That is option A.

To calculate the lateral surface area of the cylinder the formula below is used:

Lateral surface area = 2πrh

where;

r = diameter/2 = 12/2 = 6 yd

h = 4 yd

Lateral surface area = 2 ×π × 6×4 = 48π yd²

To calculate the surface area of the cylinder the following formula is used:

Surface area = 2πrh + 2πr²

r = diameter/2 = 12/2 = 6 yd

h = 4 yd

surface area = (2×π×6×4)+(2×π×36)

= 48π+72π

= 120π yd²

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The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

  the can with the 5-inch radius will cost more

Step-by-step explanation:

The cost will be given by the formula ...

  cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)

In terms of radius and height the areas are ...

  top & bottom area = 2πr²

  lateral area = 2πrh

So, the total cost of a can with radius r and height h is ...

  c(r, h) = 1.40·2πr² +0.90·2πrh

Filling in the given values and doing the arithmetic, we find the costs to be ...

  c(4, 5) = $253.84

  c(5, 4) = $333.01

The cost of the can with the 5-inch radius is the greatest.

Answer:

The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Step-by-step explanation:

First Can:

Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches

Cost for top and bottom surface area = 1.40 * 100.53 = $140.74

Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $140.74 + $113.10 = $253.84

Second Can

Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches

Cost for top and bottom surface area = 1.40 * 157.08 = $219.91

Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $219.91 + $113.10 = $333.01

So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

Answer:

so i'm guessing since 5 times 5 is 25 but there is a 2 on top of the number 25 that means squared meaning your're going to multiply. can i get a thanks and a rate!

Step-by-step explanation:

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3(2x - 1) - 11x ≤ -3x + 5

Step 2: Solve for x

Answer:

4 inches

Step-by-step explanation:

Let b = base length

h = height

A = area

\(A = \dfrac{1}{2}\cdot b \cdot h\\\\\)

Multiply throughout by 2

\(2 \cdot A = 2\cdot \dfrac{1}{2}\cdot bh\\\\2A = bh\\\\h = \dfrac{2A}{b}\)

We are given A = 16 in² and b = 8 inches

So, h = 2(16)/8 = 32/8 = 4 inches

Check to see if this is correct

A = (1/2)(8)(4) = (4)(4) = 16

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation: