Combine like terms: 3 + 2 + 7t - 4t *

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

x=3

Step-by-step explanation:

graphed on desmos.com

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The value of the unit digit 8433165483 x 946621539 x 5514381138 will be6.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

For getting a number, we will first multiply each digit by its position and then;

8433165483 x 946621539 x 5514381138

Which is;

3 x 9 x 8

= 27 x 8 = 216

Therefore, the unit digit number will be 6.

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Answer:

yes, it is!

Step-by-step explanati

Answer:

I dont think it is. one its a percentage meaning its not whole. So no its not a natural number.

Step-by-step explanation:

Im really not for sure for sure though.

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Herb spent 55 hours at the library.

Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total time spent in the Library = 1/6 + 1/4 + 1/2

Total time spent = 11/12 x 60 mins

Total time spent = 55 hours

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Answer:

Shown from the explanation below..

Step-by-step explanation:

From the graph, it's a graph with a vertex hence its a quadratic equation without

When g(X)=2; x=0

F(4) =-10; from x=4 on the graph of f(x)

The required value of f(4) = -10, value of function evaluated from the graph.

A graph has been shown of f(x) and g(x).
g(x) = 2 is given and f(4) is to determine with the help of the graph.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The graph has been shown to find the value of f(x) coordinates located on the curve for every x on the number line of the x-axis.
In manner to locate f(4) draw the verticle from x = 4 the intersect at cover f(x)(yellow point). Now, draw the horizontal line from the yellow mark the line intersects at y = -10 on the y axis. i.e.
f(4) = -10

Thus, the required value of f(4) = -10, value of function evaluated from the graph.

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Suppose H (x)=(2x+4)⁶. Find two functions ƒ and g such that (f°g)(x) = H (x). One of the possible solution is

f(x) = (2x + 4)^3

g(x) = x^2

(f°g)(x) = f(g(x)) = f(x^2) = (2x^2 + 4)^3

One possible solution is to set f(x) = (2x + 4)^3 and g(x) = x^2.

f(x) = (2x + 4)^3

g(x) = x^2

Then, (f°g)(x) = f(g(x)) = f(x^2) = (2x^2 + 4)^3

And, (2x^2 + 4)^3 = (2(x^2) + 4)^3 = (2x^2 + 4)^3 = H(x).

Note that this is just one of the possible solutions. There could be other functions ƒ and g that would satisfy the equation (f°g)(x) = H (x).

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The total cost of the metal needed to cover the tank shaped like a metal is $5,099.36.

In order to determine the total metal cost, we are to first calculate the total surface area of the tank. Since the tank is a closed cylinder, we are to determine the total surface area of a cylinder.

The total surface area of a closed cylinder can be determined by adding the area of all its faces.

Total surface area of the closed cylinder = 2πr(r + h)

Where:

r = radius = diameter / 2 = 8/2 = 4ft

h = height

π = pi = 3.14

(2 x 3.14 x 4)(4 + 3)

25.12 x 7 = 175.84 ft²

Total cost of the metal = $29 x 175.84 = $5,099.36

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The value of the equation is f ( 5 ) = 36

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( n ) = 8n - 4   be equation (1)

Now , when the value of n = 5 , we get

Substitute the value of n = 5 in the equation , we get

f ( 5 ) = 8 ( 5 ) - 4

On simplifying the equation , we get

f ( 5 ) = 40 - 4

f ( 5 ) = 36

Hence , the value of equation is f ( 5 ) = 36

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Answer:

4

Step-by-step explanation:

First off, \(\frac{2}{3}\) can be changed to \(\frac{4}{6}\) and still be equal to \(\frac{2}{3}\).

Lastly, you can find out how many can fit,

4  \(\frac{1}{6}\) yard stripes can fit

Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬).

j ∧ s ∧ ¬k

j - Jasmine attends

s - Samir attends

¬k - Kanti does not attend

∧ - Logical And operator

j ∧ s ∧ ¬k -

Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬). The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".

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Answer:

Area=153 cm²

Step-by-step explanation:

Length × Width= Area

17×9=153

Answer:

153

Step-by-step explanation:

Area= length x width

area= 17 x 9

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

To calculate Miranda's discretionary income, we need to first add up her expenses:

$60 + $85 + $195 + $55 + $575 = $970

Next, we need to calculate her monthly income.

Since Miranda gets paid semi-monthly, we'll need to multiply her paycheck amount by 24 (the number of pay periods in a year) and divide by 12 (the number of months in a year):

$550 x 24 / 12 = $1,100

Now we can calculate her discretionary income by subtracting her expenses from her income:

$1,100 - $970 = $130

Therefore, Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

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Answer:

  1, 5, 10, 10, 5, 1

Step-by-step explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

  1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

  5!/(k!(5-k)!)

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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8.99ft rate is the people moving apart 15 minutes after Lyudmyla starts walking.

We’ve defined x and y to be the distance john and Lyudmila, respectively, have traveled since they started walking.

As these distances are increasing, the rates of change will be positive for both.

dx/dt=4ft/s  dy/dt=5ft/s

We can calculate x and y as well:

x= 4ft/s· 20 min · 60 s/min = 4, 800 ft

y = 5ft/s·15 min · 60 s/min = 4, 500 ft

We’re interested in how fast the distance between John and Lyudmyla is changing, the distance is labeled as z. This means we want to find dz/dt

We need an equation that relates x, y, and z. so we can use the Pythagorean Theorem:

It is the way in which you can find the missing length of a right-angled triangle.

It is in the form of a²+b²=c²

(x + y)^2 + 500^2 = z^2

This also gives us that z ≈ 9313.43 ft after the woman has been walking for 15 minutes.

Differentiating this we get

2(x + y) ·(dx/dt +dy/dt )= 2zdz/dt

Plug in our values, and we get that dz/dt ≈ 8.99ft

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Answer:

Factory overhead is a liability account

Factory overhead is a liability account.

"Factory overhead is the costs incurred during the manufacturing process, not including the costs of direct labor and direct materials. Factory overhead is normally aggregated into cost pools and allocated to units produced during the period."

"A liability (generally speaking) is something that is owed to somebody else. Liability can also mean a legal or regulatory risk or obligation. In accounting, companies book liabilities in opposition to assets."

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

38.68 cm

Step-by-step explanation:

Perimeter of an equilateral triangle : P = 3a

Area of an equilateral triangle : A = \(\frac{\sqrt{3} }{4}a^2\)

a = side length

The area is given, solve for a.

\(72= \frac{\sqrt{3} }{4}a^2\)

\(a = 12.894839\)

The side length is 12.894839 centimeters.

Find the perimeter.

P = 3a

P = 3(12.894839)

P = 38.684517 ≈ 38.68

The perimeter is 38.68 centimeters.

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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