Please awnser this problem and please show work!!

If we can write

[tex]5x^2 + nx + 48 = (ax + b) (cx + d)[/tex]

then expanding the right side gives

[tex]5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd[/tex]

so that [tex]ac=5[/tex], [tex]ad+bc=n[/tex], and [tex]bd=48[/tex], where [tex]a,b,c,d[/tex] are integers. We want to maximize [tex]ad+bc[/tex].

5 is prime, so [tex](a,c)[/tex] can be either (1, 5) or (5, 1). Let [tex]a=5[/tex] and [tex]b=1[/tex]. Then maximizing

[tex]ad+bc=5d + c[/tex]

is just a matter of picking the largest possible value for [tex]d[/tex], which is 48. Then [tex]\max\{ad+bc\}=5\times48+1\times1=\boxed{241}[/tex].

By using the exponential value calculation, the value of 5^5/5^2 is 125.

The multiplier is represented by the base B, which is written as "B x," and the exponent "x," which indicates how many times the base is multiplied. When "8" is the base, "3" is the exponent, and the entire equation is the power, the result is 8X8X8=512.

It can be expressed as -

5⁵ / 5² = 5×5×5×5×5 / 5×5

= 5 × 5 × 5

= 5³

= 125

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Answer: 5. x=110 degrees

y=70 degrees

6. c=8

Step-by-step explanation:

5. x=110 degrees  ==> x and 110 are congruent angles.

110+y=180      ==> y is the supplement of an angle which is congruent to 110.

110-110+y=180-110

y=180-110

y=70 degrees

6. c/4 = 6/3

c/4 =2

c=8

The base of the triangle is 9 2/11 cm.

Given the height of the triangle is = 2 3/4 cm

area of the triangle is = 12 5/8 cm²

we know the area of the triangle is = 1/2 × b × h

but base = ?

therefore, 12 5/8 cm² = 1/2 × b × 2 3/4 cm

convert improper fraction to proper fraction.

101/8 = 1/2 × b × 11/4

101/8 = 11b/8

like terms gets cancelled

101 = 11b

b = 101/11

b = 9 2/11 cm

Hence we get the base of the triangle as 9 2/11 cm.

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Answer:

slope:12

Step-by-step explanation:

I HOPE IT HELP YOU

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Answer:

12

Step-by-step explanation

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]

Doing the same for v

[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]

Now adding both vector together

[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]

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An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.

Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.

An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.

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a) The area of rectangle ABCD in terms of x and y = 4xy.

b) xy = 10

c) area of triangle EBF​ = 5 m².

Part A) The area of rectangle ABCD:

See the diagram;

The length of rectangle is 2x.

The width of breadth is 2y.

Area = length×breadth

Area = 2x × 2y

Area of ABCD = 4xy m².

Part b) value of xy.

The area of the triangle DEF is 15m².

area ΔDEF = area ABCD - area ΔADE - area ΔBEF - area ΔDFC.

Put the values;

area ΔDEF = 4xy - 2xy/2 - 2xy/2  - xy/2

area ΔDEF = 3xy

equate;

ΔDEF = 3xy and DEF = 15m².

3xy/2 = 15

xy = 10

Thus, the value of xy = 10.

Part c) area of triangle EBF​:

area ΔEBF = xy/2

Put the value of xy = 10.

area ΔEBF = 10/2  = 5

Thus, the area of the triangle EBF 10m².

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The inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850

The given parameter is'

Height = About 8850 meters

Death zone = Location above 8000 meters

Let the height be represented with x

So, the inequality that represents x is

Death zone  < x ≤ Height

This gives

8000 < x ≤ 8850

Hence, the inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850

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Step-by-step explanation:

t = 7°

Use angles on a straight line add up to 180°.

The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.

What is density?

Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.

Calculation of the total mass of gas contained in the rectangular tank

Given:

Length of the rectangular tank, l = 27 cm

Breadth of the rectangular tank, b = 7 cm

Height of rectangular tank, h = 11.25 cm

Volume of rectangular tank = l × b × h

= 27 × 7 × 11.25

= 2,126.25 cubic cm

Density = 0.020 g/ml         (1 ml = 1 cubic cm)

Mass / Volume = 0.020

Mass = 0.020 × 2,126.25

= 42.525 g

Hence, the mass of gas contained in the tank is 42.525 g.

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Answer:

Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.

Using the function concept, it is found that relations b and c does not represent a function.

A relation represents a function when each value of the input is mapped to only one value of the output.

On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.

For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.

In item b, when x = 6, there are two values of y, hence this is also not a function.

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The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units

The formula for the area of a triangle ABC with 3 coordinates is;

Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|

The coordinates are;

(x₁, y₁) = (-6, 6)

(x₂, y₂) = (2, 3)

(x₃, y₃) = (-3, -2)

Thus;

Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|

Area (ΔABC) = (¹/₂)|-30 - 16 + 9|

Area (ΔABC) = ¹/₂ * |-35|

We are taking absolute value and so;

Area (ΔABC) = ¹/₂ * 35

Area (ΔABC) = 17.5 square units

To get the perimeter, we will use distance formula between two coordinates and we have;

AB = 8.544

BC = 7.071

AC = 8.544

Thus;

Perimeter = 2(8.544) + 7.071

Perimeter = 24.16 units

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Answer:

Answer: (2a+3b)-(a+b) = a + 2b.

Answer:

-2a² - 3b² + 5ab

Step-by-step explanation:

(b-a) - (2a-3b)

= b(2a-3b) -a(2a-3b)

= 2ab - 3b² - 2a² + 3ab

= -2a² - 3b² + 3ab + 2ab

= -2a² - 3b² + 5ab

Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.

6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.

The translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.

To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping  the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.

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Answer:

a.

t=11

A=210-14(11)

A=210-154

A=56

$56 left

b.

A=0

0=210-14t

14t=210

t=210/14

t=15

in 15 trips he'd be broke

The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ[tex]_{2}[/tex]-µ[tex]_{1}[/tex].

A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.

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The number of significant digits the quotient should have is 5. Option D

Significant digits are important single digits from 0 to 9 in the coefficient of an expression.

They are also known as meaningful digits.

Significant figures or digits are the zeros that occur between any two non zero digits.

From the information given, we have;

Let's take the quotient

3.021 x 10^9 /1.0482 x 10^−4

This gives;

2. 88208 × 10^13

We can see that the number of significant digits are 5

Thus, the number of significant digits the quotient should have is 5. Option D

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Answer:

m<1 = 111 degrees, m<2 = 69 degrees

Step-by-step explanation:

The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:

x + 88 + 3x = 180  

4x = 108

x=23 degrees

Next, substitute 23 into the given angles:

m<1 = (23 + 88) = 111 degrees

m<2 = 23 * 3 = 69 degrees

Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps

The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

i) Total number of problems =10

Correct problems = 6

Incorrect problems = 4

Ratio =  Correct / incorrect

Ratio = 6/4

Ratio = 3/2

= 3 : 2

ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.

Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

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Answer:

bein estas for

Step-by-step explanation:

lerni :) kaj preterpasi

Additionally, the picture would contain two parallel side pairs.

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

The parameters are as follows:

A stiff transformation is the translation transformation.

This indicates that it maintains the orientation that is changing.

Two sets of parallel sides comprise the initial figure.

There would be two sets of parallel sides on the picture as a result.

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Olivia purchases gifts for her mom and grandma for Mother's Day. The  linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.

Given that

o find

So, according to the question

We have

So, we can say that

Now, putting the all given values,

So, we get

                                             = $(39.75 - 16.35)

    The amount of bracelet = $ 23.4        

She spend $ 23.4 on bracelet for Mother’s Day.

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Answer:

k = -10

Step-by-step explanation:

(-8-3k)/2 = 11

Multiplying both sides with 2:

2{(-8-3k)/2} = 11(2)

-8-3k = 22

-8-3k+8 = 22 + 8

-3k = 30

k = 30/-3

k = -10

Check:

(-8-3k)/2 = 11

Putting the value of k that is -10:

{-8-3(-10)}/2 = 11

(-8+30)/2 = 11

22/2 = 11

11 = 11

Hence, it is proved that, k is, in fact, equal to -10

The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.

It follows from the task content that the equation of the transformed graph be determined.

First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.

Hence, the resulting equation is;

y = |-x + 4|-8

y = |4 -x|-8

Also, when the graph is translated 2 units down; we have;

y -2 = |4 -x|-8

y = |4 -x|-8 +2

y = |4 -x| -6

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Answer:

Box plot B

Step-by-step explanation:

Hope this helps