delta math (z^r)^2r i need to simplify

c^2-2cd+d^2 = (c-d)^2

We can verify this with the following steps

(c-d)^2 = (c-d)(c-d)

(c-d)^2 = c(c-d) - d(c-d)

(c-d)^2 = c^2-cd-cd+d^2

(c-d)^2 = c^2-2cd+d^2

Answer:  93 boxes will be needed

Step-by-step explanation:

     If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.

1,486 / 16 = 92.875

    We will assume you cannot have 0.875 of a box, so we will round up to:

              93 boxes will be needed

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

let's evaluate :

\(\\ \sf\longmapsto (c-7)(c+5)\)

\(\\ \sf\longmapsto c(c+5)-7(c+5)\)

\(\\ \sf\longmapsto c^2+5c-7c-35\)

\(\\ \sf\longmapsto c^2-2c-35\)

Question 7

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Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

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

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

By answering the presented question, we may conclude that I used the following procedures to produce this graph.

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph contains vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.

I used the following procedures to produce this graph:

I classified the personnel as full-time, part-time, and temporary.

I estimated the proportion of employees who assessed the company's work-life balance as "very good" or "excellent" for each employee category, as well as the percentage who rated it as "good" or "fair/poor."

I used the following procedures to produce this graph:

I classified the personnel as full-time, part-time, and temporary.

I estimated the proportion of employees who assessed the company's work-life balance as "very good" or "excellent" for each employee category, as well as the percentage who rated it as "good" or "fair/poor."

I made the segmented bar graph using these percentages.

The graph was made using Excel technology. You may make a similar graph with Excel or any other software that supports segmented bar graphs.

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Answer:

My push

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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The converse of each theorem that justifies why each set of lines are parallel lines are explained below.

The converse of a theorem is when the conclusion of a theorem is switched with the hypothesis. For example, according to the same-side interior angles theorem, if two lines are parallel and they are crossed by a transversal, then the two alternate interior angles that are on the two parallel lines would be congruent angles.

The converse of this theorem would then be stated as, if two alternate interior angles are congruent, then the two lines are parallel lines.

Below shows the given statement, the parallel lines involved, and the converse of the theorem involved.

Given                       Parallel lines        Converse                                        

a. ∠2 ≅ ∠4                      c║d               Corresponding ∠s theorem

b. ∠5 ≅ ∠10                    a║b                Alternate interior ∠s theorem

c. m∠6 + m∠10 = 180     a║b                Same-side interior ∠s theorem

d. ∠1 ≅ ∠14                     a║b                Alternate exterior ∠s theorem

e. m∠6 + m∠10 = 180     c║d                Same-side interior ∠s theorem

f. ∠11 ≅ ∠16                    none               Vertical ∠s theorem

g. ∠4 ≅ ∠15                    a║b                Alternate exterior ∠s theorem

h. ∠10 ≅ ∠12                   c║d               Corresponding ∠s theorem

i. m∠9 + m∠13 = 180      none              Linear pair ∠s theorem

j. ∠2 ≅ ∠7                       c║d                Alternate interior ∠s theorem

k. ∠6 ≅ ∠11                    none              none              

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The integer n has 2n-2 compositions in which neither the first nor the last entry is 1.

To understand this, we need to consider the possible outcomes when creating a composition of length n. Each entry in the composition can either be 0 or 1, except for the first and last entries which must not be 1. This leaves us with 2n-2 possible combinations.

The number of compositions that the integer n has in which neither the first nor the last entry is 1 can be calculated using the following formula:
Number of compositions = 2^(n-3)
For example, if n = 5, the number of compositions would be 2^(5-3) = 2^2 = 4.
Therefore, the integer n has 4 compositions in which neither the first nor the last entry is 1.
It is important to note that this formula only applies to integers greater than or equal to 3. If n is less than 3, there are no compositions in which neither the first nor the last entry is 1.
In conclusion, the number of compositions that the integer n has in which neither the first nor the last entry is 1 can be calculated using the formula 2^(n-3).

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The scale factor used to dilate triangle ABC to triangle A'B'C' is approximately 4. So, correct option is C.

To determine the scale factor used to dilate triangle ABC to triangle A'B'C', we can use the formula:

scale factor = distance(A', B') / distance(A, B)

We can choose any pair of corresponding vertices to calculate the distance, but it's usually easiest to use the endpoints of a side. Let's use points A and A', and points B and B', respectively:

distance(A', B') = √[(12 - (-12))² + (12 - (-12))²] = √(24² + 24²)  ≈ 34

distance(A, B) = √[(3 - (-3))² + (3 - (-3))²] = √(6² + 6²) = 6√2

Substituting these values into the formula, we get:

scale factor = 34 / (6√2) ≈ 4

This means that every length in triangle A'B'C' is 4 times the corresponding length in triangle ABC.

Therefore, Correct option is C.

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Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

Answer:

$ 15680

Step-by-step explanation:

From the question given above, we were told that Karen earn a commission of $ 140 per course.

To know her commission for selling 112 courses, we simply do the following:

Karen earn a commission of $ 140 for 1 course.

Therefore, she will ear $ X for 112 courses i.e

$ X = $ 140 × 112 course/ 1 course

$ X = $ 15680

Therefore, Karen commission for selling 112 courses is $ 15680

The trigonometric functions sine and cosecant have a positive sign.

In this problem we must determine what trigonometric functions associated with a vector of the form (x, y) have a positive sign. This can be done by computing on each function:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

If we know that x = - 12 and y = 5, then the values of the trigonometric functions are, respectively:

sin θ = 5 / √[(- 12)² + 5²]

sin θ = 5 / 13

cos θ = - 12 / √[(- 12)² + 5²]

cos θ = - 12 / 13

tan θ = - 5 / 12

sec θ = - 13 / 12

csc θ = 13 / 5

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Step-by-step explanation:

130 = 2x

2x = 130

x = 130/2

x = 65

Answer:

h = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = 8 / h

h sin 45 = 8

h = 8 / sin 45

h = 8 / (1 sqrt(2)

h = 8 sqrt(2)

Answer:

right answer is option D

Step-by-step explanation:

tan 45 = BC/8. ; BC - Lower side

BC = 8

h = 8sq. + 8sq = √128 = 8√2

Answer:

D

Step-by-step explanation:

This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180

\(\color{plum}\tt\bold{(D) \: 17}\)

Given :

▪︎Angle (5x)° and angle 95° are supplementary angles.

Which means :

\( = \tt5x + 95 = 180\)

\( = \tt5x = 180 - 95\)

\( = \tt5x = 85\)

\( \hookrightarrow\tt \color{plum}x = 17\)

Thus, the value of x = 17

Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:

\( =\tt5 \times 17 + 95 = 180\)

\( =\tt 85 + 95 = 180\)

\( =\tt 180 = 180\)

Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.

Therefore, the correct option is (D) 17

Given:

89.3%

To convert into decimal:

Hence, the answer is 0.893.

Answer:

\( \huge{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }} \)

Step-by-step explanation:

\(\huge{ \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div \frac{ {a}^{2b} - {ab}^{2} }{ {a}^{2b} - {ab}^{2} }} \)

\( \huge{\frac{ {x}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div 1}\)

\( \huge{\boxed{\green{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}}} \)

Answer:

Step-by-step explanation:

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Answer:

x= - 20

y= 6

Step-by-step explanation:

2x + 5y = -10

-2x + y = 46

if u solve it

it is 6y= 36 so y =6

and substitute y value into the equation:

-2x+ 6 = 46

-2x= 40

so x= -20

Step-by-step explanation:

174 + 10x = 102 + 10x - 6x

174 - 102 = 10x - 6x -10x

72 = - 6x

- x = 72/6

- x = 12

x = -12

Answer:

29

Step-by-step explanation:

P = 2l + 2w

64 = 6 + 2w

58/2 = w

=29

Answer:

Sophie in 9 days and Susan in 12 days

Step-by-step explanation:

This question is very vague and the answer in clearly in front of your eyes.

Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

correct on Edge 2020

The denominator in a fraction tells you the number of parts by which the upper number is being divided.

A fraction is a way to represent a part of a whole. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts in the whole. For example, in the fraction 2/5, the numerator is 2, which means we are considering 2 out of the total 5 parts in the whole. The denominator, in this case, is 5, which represents the total number of equal parts in the whole. Therefore, the denominator is the number of parts by which the numerator is being divided, or the size of each of the equal parts.

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