Using arrays multiply 15 x 12.
1. 45
2. 20
3. 180
4. 25

NEED ASAP

Answer: The Modern Language Association of America, often referred to as the Modern Language Association, is the principal professional association in the United States for scholars of language and literature. The MLA aims to "strengthen the study and teaching of language and literature".

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

To find the measure of angle a you must first find m<CED. To do this remember every triangle has a measure of 180.

180-(43+35)=102, that means m<CED=102. Also m<CED=m<AEB because they are vertical angles. So now do the same operation but for the other triangle 180-(102+18)=84. So m<A=84.

Answer:

$85.09

Step-by-step explanation:

Answer:

d all if these things are a part of self awareness

Answer:

d.  All of the above

Step-by-step explanation:

E2020

Answer:

34 and 36

Step-by-step explanation:    7  1  17   15

product of two consecutive even integer   x(x+2)      x is even

product of two consecutive even integer  x(x + 2) plus 36 equal 18(x +x + 2)

x(x+2) + 36 = 18(x +x +2)

x² + 2x + 36  = 18x + 18x + 36    36's cancel, 2x - 36x = -34x

x² - 34x = 0     solve for x

x( x - 34) = 0        x = 0 and 34    only 34 is an even number!

x = 34  and 36  

By solving for the density of the two metal cubes, we can determine that the two metal cubes are not made from the same material.

Density, denoted by ρ, is a property of any substance that is defined as the ratio between the mass and volume of the substance.

ρ = m/v

where ρ = density

m = mass

v =  volume

Solving the density of each cube.

Cube 1 :

ρ = m/v

ρ = m/e^3

ρ = 43. 63 g/(3. 2 cm)^3

ρ = 1.3315 g/cm^3

Cube 2 :

ρ = m/v

ρ = m/e^3

ρ = 683. 5 g/(8. 34 cm)^3

ρ = 1.1783 g/cm^3

If two objects have the same density, then they are made from the same material. Since the density of the two cubes are not equal, then they are not made form the same material.

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Answer:

The y-intercept is -15

Answer:

no

Step-by-step explanation:

Answer:

11$

Step-by-step explanation:

26 - 15 = 11

she got 11 dollars left to spend

The missing angles and side of the triangle are;

m∠FXD = 44°

EG = 14

m∠FZG = 32°

We are told that the angle bisectors of ΔXYZ are XG, YG and ZG

The parameters are;

∠DYE = 94°

∠FXG = 22°

Thus;

m∠FXD = 2* 22°

m∠FXD = 44°

The sum of angles in a triangle is 180 degrees. Thus;

m∠FZE + 94 + 22 = 180

m∠FZE = 180 - (94 + 22)

m∠FZE = 64°

Thus;

m∠FZG = 64°/2

m∠FZG = 32°

The incenter of a triangle lies at equal distances from the three line segments forming the sides of the triangle, and also from the three lines containing those segments. Thus;

DG = EG = FG = 14

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Answer:

-10x^2+4x-8   im 75% sure

Step-by-step explanation:

Answer:

\(\displaystyle \frac{1}{5!} = \frac{1}{120} \approx 0.00833\).

Step-by-step explanation:

Note that all five letters here are distinct (i.e., none of them is repeated.) There are \(\displaystyle P(5,\, 5) = \frac{5!}{(5 - 5)!} = 5! = 120\) ways to arrange five distinct items (where the order of the arrangement matters.)

The reason is that there are five choices for the first item, four choices for the second item, three choices for the third item, etc. Hence, the numerator is \(5 \times 4\times 3 \times 2 \times 1\), which is the same as \(5!\). On the other hand, since there's only one way to choose five items out of five (i.e., to select them all,) the denominator would be \(1\).

Note that the \(\verb!ZAYED!\) is just one of that \(5!\) possible permutations. If the cards are arranged in random, all these permutations ought to have an equal probability. Therefore:

\(\begin{aligned}& P(\verb!ZAYED!) \\ &= \frac{\text{Number of permutations that gives $\texttt{ZAYED}$}}{\text{Number of all permutations involved}} \\ &= \frac{1}{5!} = \frac{1}{120} \approx 0.00833\end{aligned}\).

A graph of the function f(x) = [-x] is shown in the image below.

The domain and range in interval notation are;

Domain = [-∞, ∞].

Range = [-∞, ∞].

In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

f(x) = [x].

By critically observing the graph, we can logically deduce that the parent function was reflected over the x-axis and its domain and range include the following;

f(x) = [-x]

Domain = [-∞, ∞] or all real numbers.

Range = [-∞, ∞] or all real numbers.

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The proportion of the boards that will be greater than 122 inches is 84%

Given :

length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.

we are aske to determine what proportion of the boards will be greater than 122 inches = ?

we have :

μ = 123

σ = 122

now, let x denote the number of boards.

⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)

⇒ P(X>122)=P( X- μₓ/ σₓ >  122-123/1)

⇒ P(Z > -1)

= 0.08413

= 84%

hence we get the value as 84%

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​

Answer:

\(25\)

Step-by-step explanation:

\(\frac{5^8 \times 5^{-2}}{5^4}\)

\(\frac{5^{8+-2}}{5^4}\)

\(\frac{5^{6}}{5^4}\)

\(5^{6-4}\)

\(5^2\)

\(=25\)

The net change in velocity from time t=1 to time t=5 is approximately 34.65 units.

To find the net change in velocity from time t=1 to time t=5, we need to integrate the acceleration function a(t) = ln(3 + t⁴) with respect to time between t=1 and t=5.

∫(a(t) dt) from 1 to 5 = ∫(ln(3 + t⁴) dt) from 1 to 5

Using the substitution u = 3 + t⁴ and du/dt = 4t³, we get:

∫(ln(3 + t⁴) dt) = (1/4)∫(ln(u) du)

= (1/4) [u × ln(u) - u] from 3 + 1⁴ to 3 + 5⁴

= (1/4) [(3+5⁴)×ln(3+5⁴) - (3+1⁴)×ln(3+1⁴) - (3+5⁴) + (3+1⁴)]

≈ 34.65

Therefore, the net change in velocity from time t=1 to time t=5 is approximately 34.65 units.

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Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

Answer:

its a right ray

Step-by-step explanation:

Answer:

The ray is called EF. You should write it like this:

Answer:

4x(5 − x^2)

Step-by-step explanation:

20 − 4x^3

= 4x(5 − x^2)

The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

What is Mathematical expression?

The combination of numbers and variables by using sign addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The expression is;

⇒ 20 - 4x³

Now, Take common factor as;

⇒ 20 - 4x³ = 2 × 10 - 2 × 2x³

                 = 2 (10 - 2x³)

Thus, The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

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Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Using the discriminant test to decide what the equation represents, we know that it represents a Hyperbola.

The discriminant is a value that can be calculated from the coefficients of the quadratic equation that represents the conic section. The value of the discriminant tells us whether the conic section is a parabola, an ellipse, or a hyperbola.

To use the discriminant test, we first need to write the quadratic equation in standard form. The equation 2x + 4xy + 3x + 25y – 6 = 0 can be rewritten in standard form as follows:

(2x + 3)(y + 2) = 6

The discriminant is:

b² - 4ac

Using the equation once more:

= 3²- 4(2)(-6)

= 9 + 48

= 57

Since the discriminant is greater than zero, we know that the conic section is a hyperbola.

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The line passing through points (5, 8) and (-2, 8) has a slope of 0, indicating that it is a horizontal line parallel to the x-axis.

To find the slope (m) of the line passing through the points (5, 8) and (-2, 8), we can use the slope formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates:

x₁ = 5, y₁ = 8

x₂ = -2, y₂ = 8

m = (8 - 8) / (-2 - 5)

m = 0 / -7

m = 0

Therefore, the slope (m) of the line passing through the given points is 0.

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Answer:

a conditional relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total. To find the conditional relative frequency of rows, we divide each frequency in a row by the row total. For example, the conditional relative frequency of learning salsa given that the student learns ballet is 23/38 = 0.61. The table that best shows the conditional relative frequency of rows for the data is:

Learn salsa Do not learn salsa Total

Learn ballet 0.61 0.39 1

Do not learn ballet 0.76 0.24 1

Total 0.68 0.32 1

Step-by-step explanation:

The y-intercept of the line is -13.

To find the y-intercept of the line, we can use the slope-intercept form of the equation of a line: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-10, 52) and has a slope of -6.5, we can substitute these values into the equation:

52 = -6.5(-10) + b

Simplifying the equation:

52 = 65 + b

To isolate b, we subtract 65 from both sides:

52 - 65 = b

Simplifying further:

b = -13

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The width of the piece of metal will be 24 inches while the length will be 29 inches.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

Volume = (w+3)(w-2)1

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

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The exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.

Let's assume that the window is a rectangle, which means that opposite sides are equal in length. If the perimeter of the window is 8 feet, that means that the sum of all four sides is 8 feet.

Let's label the length of the two horizontal sides as x, and the length of the two vertical sides as y. That means that:

2x + 2y = 8

Simplifying that equation, we get:

x + y = 4

Now, we want to find the exact value of x that will allow the greatest amount of light to be admitted. We know that the area of a rectangle is length x width, so in this case:

Area = x * y

We want to maximize this area, so we need to express y in terms of x using the equation we derived earlier:

y = 4 - x

Substituting that into the area equation, we get:

Area = x * (4 - x)

Expanding that equation, we get:

Area = 4x - x^2

To maximize this area, we need to find the value of x that will give us the maximum value of Area. We can do this by taking the derivative of the area equation and setting it equal to zero:

d(Area)/dx = 4 - 2x = 0

Solving for x, we get:

x = 2

Substituting this value of x back into the equation for y, we get:

y = 4 - 2 = 2

So the exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.

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Answer:

okayy where is question

Step-by-step explanation:

The critical numbers of the function h(p) = (p - 1) / (p^2 - 5) are "dne" (does not exist).

To find the derivative of h(p), we can apply the quotient rule. Taking the derivative, we have:

h'(p) = \([(p^2 - 5)(1) - (p - 1)(2p)] / (p^2 - 5)^2\)

Simplifying this expression, we get:

h'(p) = \((p^2 - 5 - 2p^2 + 2p) / (p^2 - 5)^2\)

= \((-p^2 + 2p - 5) / (p^2 - 5)^2\)

To find the critical numbers, we set h'(p) equal to zero and solve for p:

\(-p^2 + 2p - 5 = 0\)

However, this quadratic equation does not factor easily. We can use the quadratic formula to find the solutions:

p = (-2 ± √\((2^2 - 4(-1)(-5))) / (-1)\)

p = (-2 ± √(4 - 20)) / (-1)

p = (-2 ± √(-16)) / (-1)

Since the discriminant is negative, the equation has no real solutions. Therefore, the critical numbers of the function h(p) = (p - 1) / (\(p^2\) - 5) are "dne" (does not exist).

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Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.