Which explains why the graph is not a function?
5
4
.3
It is not a function because the points are not
connected to each other.
It is not a function because the points are not related
by a single equation.
It is not a function because there are two different x-
values for a single y-value.
It is not a function because there are two different y-
values for a single x-value.
1 -
-5 -4 -3 -2 -1.
-17
1
2
3
4
5
х
-2
-3
4

Question 16:

\(\alpha\) and \(\beta\) are the roots of the equation.

That means \((x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\\)

\((x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\)

          \(2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0\)

          \((x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta\)

So,

\(x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}\)

Compare coefficient

\(\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}\)

Consider \(\frac{\beta }{\alpha } + \frac{\alpha }{\beta }\)

\(\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }\)

\(= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}\)

Ans: 8/5

Question 19:

\(f(x+2) = 2x^{2} +5x-3\\\)

Substitute x with -1

So,

\(f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6\)

Ans: -6

The simplified expressions are 2^-2 and 60^6

Expression (a)

We have:

2^3 * 2^-5

Apply the product law of indices

2^3 * 2^-5 = 2^(3 - 5)

Evaluate the difference

2^3 * 2^-5 = 2^-2

Expression (b)

We have:

(60^2)^3

Apply the power law of indices

(60^2)^3 = 60^(2 * 3)

Evaluate the product

(60^2)^3 = 60^6

Hence, the simplified expressions are 2^-2 and 60^6

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The solution to the differential equation y" y' = xe using reduction of order is y(x) = Cu(x)^2(e^(x^2)).

To solve the differential equation y" y' = xe using reduction of order, we first assume that the solution can be written in the form y(x) = u(x)v(x), where u(x) and v(x) are functions of x. We then differentiate this expression twice to obtain:

y'(x) = u'(x)v(x) + u(x)v'(x)

y''(x) = u''(x)v(x) + 2u'(x)v'(x) + u(x)v''(x)

Substituting these expressions into the original differential equation, we get:

u''(x)v(x) + 2u'(x)v'(x) + u(x)v''(x))(u'(x)v(x)) = xe

Expanding and simplifying, we get:

u''(x)v(x)(u'(x)v(x)) + 2u'(x)v'(x)(u'(x)v(x)) + u(x)v''(x)(u'(x)v(x)) = xe

Rearranging terms, we get:

v(x)(u''(x)(u'(x))^2 + 2(u'(x))^3) + u(x)(v''(x)(u'(x))v(x)) = xe

Since we assumed that y(x) = u(x)v(x), we know that y' can be expressed as:

y' = u'v + uv'

Substituting this expression into the original differential equation, we get:

(u'v + uv')(u'v) = xe

Expanding and simplifying, we get:

(u')^2(v^2) + 2uv(u')(v') = xe

We can now solve for v' by dividing both sides by 2uv(v') and integrating with respect to x:

∫ (1/2uv(v')) dv' = ∫ (x/2u) dx

Simplifying and integrating, we get:

ln|v(x)| = (1/2)ln|u(x)|^2 + (1/2)x^2 + C1

where C1 is the constant of integration.

Exponentiating both sides, we get:

v(x) = Cu(x)(e^(x^2)/4)

where C is a constant of integration.

We can now substitute this expression for v(x) into our original assumption that y(x) = u(x)v(x), to obtain:

y(x) = u(x)Cu(x)(e^(x^2)/4)

Simplifying, we get:

y(x) = Cu(x)^2(e^(x^2))

where C is a constant of integration.

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Question 1: MetaSpace is unlikely to succeed in a legal battle against Marcus Superberg under the Australian Consumer Law.

Question 2: Ingrid may be entitled to workers compensation as an employee of RoadRunners.

Question 1:

Issue: Can MetaSpace succeed in a legal battle against Marcus Superberg under the Australian Consumer Law?

Rule: Under the Australian Consumer Law, businesses are prohibited from engaging in misleading or deceptive conduct in trade or commerce. To establish a claim, MetaSpace needs to show that Marcus Superberg made false representations about the security and privacy of DeltaVerse, which misled or deceived the general public.

Application: Marcus Superberg claims that DeltaVerse complies with privacy and cybersecurity legislation worldwide, and personal data cannot be accessed, stolen, or sold. He further claims to have an unbreakable unique algorithm protecting user data. Will Bates, the founder of MetaSpace, argues that such claims are impossible and accuses Marcus Superberg of misleading the public.

To assess MetaSpace's likelihood of success, it is important to determine if MetaSpace falls within the scope of consumers under the Australian Consumer Law. While MetaSpace is a competitor, it is possible for businesses to be considered consumers if they acquire goods or services for personal, domestic, or household use. If MetaSpace can establish that it falls within the definition of a consumer, it may have standing to bring an action against Marcus Superberg.

Conclusion: Based on the information provided, it is unclear whether MetaSpace can succeed in a legal battle against Marcus Superberg under the Australian Consumer Law. MetaSpace's ability to establish its consumer status and prove that Marcus Superberg engaged in misleading or deceptive conduct would be crucial factors in determining the outcome.

Question 2:

Issue: Is Ingrid entitled to workers compensation?

Rule: The entitlement to workers compensation depends on the classification of Ingrid's working relationship with RoadRunners. If she is considered an employee, she may be eligible for workers compensation benefits. However, if she is classified as an independent contractor, she may not have the same entitlements.

Application: Ingrid works for RoadRunners as a delivery courier, using her bicycle to deliver packages. She receives a fixed rate for each delivery, works at her own discretion, and follows RoadRunners' guidelines. She also faces penalties for exceeding the 15-minute delivery guarantee. Ingrid has been injured while performing her delivery duties.

To determine Ingrid's employment status, it is necessary to consider various factors, including the level of control exercised by RoadRunners over Ingrid's work, the degree of independence she has, the provision of equipment, and the nature of the work relationship. The fact that Ingrid uses the RoadRunners application and follows their guidelines suggests a degree of control indicative of an employment relationship.

If Ingrid is found to be an employee, she may be entitled to workers compensation benefits, including medical expenses and income replacement during her recovery period. However, if she is classified as an independent contractor, she may need to seek compensation through other avenues, such as a personal injury claim.

Conclusion: Based on the information provided, Ingrid may be entitled to workers compensation if she is classified as an employee of RoadRunners. The determination of her employment status will depend on a thorough assessment of the specific circumstances of her working relationship with RoadRunners, considering factors such as control, independence, and the nature of her work. Ingrid should seek legal advice to fully evaluate her entitlement to workers compensation benefits.

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The correct answer to the question, "Which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?" is: B. P( z < 50 — 55/ √55(45)/100).

To find the probability, we first calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value (50%), μ is the mean (55%), and σ is the standard deviation.

The standard deviation can be calculated as:

σ = √(np(1-p))

where n is the sample size (100) and p is the proportion of democrats (0.55).

Now, plug in the values into the z-score formula:

z = (50 - 55) / √(100 * 0.55 * 0.45)

The probability is then found as P(z < z-score), which is represented by the option B.

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Answer:

(5, -9)

Step-by-step explanation:

y = -9

5x + 3y = -2

5x + 3y = -2

5x + (3) (−9) = -2

5x - 27 = -2

5x = 25

x = 5

y = -9, x = 5

The value οf a = 1/2  and b = 19/4 in the equatiοn x² - x + 5 = (x-a)² + b.

The part οf mathematics in which letters and οther general symbοls are used tο represent numbers and quantities in fοrmulae and equatiοn is called algebra.

x² - x + 5 = (x-a)² + b

x² - x + 5 = x² + a² - 2xa + b

-x + 5 = -2xa + a² + b

By matching cοrrespοnding terms,

2a = 1          and        a²+ b = 5

a= 1/2          and        a²+ b = 5

Substituting value οf "a"

(1/2)² + b = 5

1/4 + b = 5

b = 5- 1/4

b = 19/4

Thus, a = 1/2  and b = 19/4.

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Answer:

H i think i might be worng sorry

Step-by-step explanation:

The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Step-by-step explanation:

Simplifying

36 = byx

Solving

36 = bxy

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1bxy' to each side of the equation.

36 + -1bxy = bxy + -1bxy

Combine like terms: bxy + -1bxy = 0

36 + -1bxy = 0

Add '-36' to each side of the equation.

36 + -36 + -1bxy = 0 + -36

Combine like terms: 36 + -36 = 0

0 + -1bxy = 0 + -36

-1bxy = 0 + -36

Combine like terms: 0 + -36 = -36

-1bxy = -36

Divide each side by '-1xy'.

b = 36x-1y-1

Simplifying

b = 36x-1y-1

Answer:

y = \(\frac{36}{bx}\)

Step-by-step explanation:

Given

36 = byx ( isolate y by dividing both sides by bx )

\(\frac{36}{bx}\) = y

Both options a. A = 129.9° and b. A = 53.1° are correct.

To find the possible values for angle A in triangle ABC, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

Using the Law of Sines, we have sin(A)/a = sin(B)/b. Plugging in the given values, we get sin(A)/36 = sin(51°)/35.

To find the two possible values for angle A, we can solve the equation sin(A)/36 = sin(51°)/35. Taking the arcsine of both sides, we have A = arcsin((sin(51°)/35)*36).

Calculating this expression, we find two possible values for angle A:

A ≈ 53.1° (rounded to the nearest tenth)

A ≈ 129.9° (rounded to the nearest tenth)

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Answer:

144

Step-by-step explanation:

24 books at 6 points each would be 24 x 6 which equals 144

Answer:

They'll have 144 points if they read 24 books.

Step-by-step explanation:

6 x 24 = 144

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

The probability that the total weight of 12 eggs falls between 775g and 825g is 0.6388 or about 63.88%.

The weight of each egg is normally distributed with mean 65.2g and standard deviation 5.6g. Let X be the weight of a single egg. Then X ~ N(65.2, 5.\(6^2)\).

The sum of the weights of 12 eggs, Y, is also normally distributed with mean μY = 12μX = 12(65.2) = 782.4g and standard deviation σY = √(12σ\(X^2\)) = √(12(5.\(6^2\))) = 19.12g.

We want to find the probability that the total weight falls between 775g and 825g, i.e., P(775 ≤ Y ≤ 825).

Using the standard normal distribution, we can transform Y to a standard normal variable Z as follows:

Z = (Y - μY) / σY

Z ~ N(0,1)

Now we can calculate the probability as follows:

P(775 ≤ Y ≤ 825) = P[(775 - μY) / σY ≤ Z ≤ (825 - μY) / σY]

= P[(775 - 782.4) / 19.12 ≤ Z ≤ (825 - 782.4) / 19.12]

= P[-0.39 ≤ Z ≤ 2.24]

= Φ(2.24) - Φ(-0.39)

= 0.9871 - 0.3483

= 0.6388

where Φ(z) is the cumulative distribution function of the standard normal distribution.

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Answer:

It is 40.

Step-by-step explanation:

This is because the rectangle is 24, and both the triangles are 8.

Let A, B, and C be three propositions. We need to prove that (A ∧ B) ⇒ C if and only if A ⇒ (B → C).Proof:Using the contrapositive method, we need to prove that if (A ∧ B) ⇏ C, then A ⇏ (B → C) and vice versa.

First, let's consider the left side of the equation.(A ∧ B) ⇏ C can be represented as ¬(A ∧ B) ∨ CBy using De Morgan's law and distributivity, we get(¬A ∨ ¬B) ∨ CAlso, (B → C) ⇔ (¬B ∨ C). So we can represent the right side of the equation as A ⇒ (¬B ∨ C).Now we can prove both sides of the equation:1) Assume (A ∧ B) ⇏ C. Using the logical equivalences shown above, we can represent this as(¬A ∨ ¬B) ∨ C, which is logically equivalent to A ⇒ (¬B ∨ C). Thus, (A ∧ B) ⇏ C ⇒ A ⇒ (B → C)2) Assume A ⇏ (B → C). Using the logical equivalences shown above, we can represent this as A ∧ ¬(¬B ∨ C). Using De Morgan's law, we get A ∧ (¬¬B ∧ ¬C).

Simplifying, we get A ∧ (B ∧ ¬C). Therefore, A ∧ B ∧ ¬C ⇏ C, which is the same as (A ∧ B) ⇏ C. Thus, A ⇏ (B → C) ⇒ (A ∧ B) ⇏ C By proving both sides of the equation, we have shown that (A ∧ B) ⇒ C if and only if A ⇒ (B → C).

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If a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .

The Percent Error can be calculated by the formula

Percent Error = (measured value - actual value)/(actual value)  ×100

In the question ,

it is given that

the original length of the stick is 60 inches .

the measured length of the stick is 63 inches .

So, the measured value = 63 inches ,

actual value = 60 inches .

Substituting the measured values and actual value in the percent error formula , we get

Percent Error = (63-60)/60 × 100

= 3/60 × 100

= 1/20 × 100

= 100/20

= 5 %

Therefore , if a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .

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The gradient of the stream is 1 meter per kilometre, which means that the stream drops 1 meter for every kilometre travelled. This is a relatively gentle slope and suggests that the stream is not flowing rapidly or eroding its bed very quickly.

The gradient of a stream is a measure of its steepness and is calculated by dividing the change in elevation by the distance travelled. In this case, the stream drops 15 meters in 15 kilometres, which means that the gradient can be calculated as follows:
Gradient = Change in elevation ÷ Distance travelled
Gradient = 15 meters ÷ 15 kilometers
Since we need to express the gradient in terms of meters per kilometre, we can simplify the above equation as follows:
Gradient = (15 meters ÷ 15,000 meters) × 1,000
Gradient = 1 meter per kilometer
Therefore,  understanding the gradient of a stream is important for a range of activities, including flood control, erosion management, and habitat restoration. By monitoring changes in the gradient over time, scientists and engineers can gain insights into the health and behaviour of streams and develop strategies to protect them.

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Answer:

I am not good in maths but I think it is

A 1/4

A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,

\(\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}\)

Hence, the scale factor of the triangle is (1/2).

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The length of CD is 6.32 units.

From the question, we have

CB / AB = DB / CB

CB / 14 = 10 / CB

CB² = 14 × 10

CB = √140

using the Pythagorean theorem,

AB² = CB² + AC²

14² = (√140)² + AC²

196 - 140 = AC²

AC = √56

Using the ratio of the similar triangle,

CD / AC = DB / CB

CD / √56 = 10 / √140

CD = (√56 × 10)/√140

CD = 6.32 units

the length of CD is 6.32 units.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Answer:

3(3a+4)

Step-by-step explanation:

Answer:

I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same

Step-by-step explanation:

The distance in the standard (x, y) coordinate plane between the given points (1, 0) and ( 0, 5) is equal to √26 units.

As given in the question,

In the coordinate plane :

The distance in the standard (x, y) coordinate plane is:

Distance between the given points (x₁ , y₁) = (1, 0) and (x₂ , y₂) = (0,5) is given by :

Standard distance formula :

d = √ ( x₂ - x₁)² + (y₂ - y₁)²

  = √ ( 0 -1)² + (5-0)²

  = √1 + 25

  = √26 units

Therefore, The distance in the standard (x, y) coordinate plane between the given points (1, 0) and ( 0, 5) is equal to √26 units.

The complete question is :

What is the distance in the standard (x, y) coordinate plane between the points (1,0) and (0,5)?

a. 4      b. 6                c. 16           d. 36          e. √26

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Answer:

Step-by-step explanation:

an account at the bank so where she earns a simple interest rate of 10/%. If she does not add any money to this account, How much money will Kyra have after 1 year? After 2 years ... Where I(t) is the interest earned/owed after t years, ... annually. How much money will Jack have after 1 year? 2 years? 5 years? 10 years?

Answer:

The answer is 57 and 46

Step-by-step explanation:

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The total surface area of the pyramid is 144 m².

The total surface area of the regular pyramid is calculated as follows;

Total surface area = area of the base + 3 (area of lateral surfaces)

The area of the base is calculated as follows;

A = ¹/₂bh

where;

A = ¹/₂bh

A = ¹/₂ x 10 m  x 8.7 m

A = 43.5 m²

The lateral surface area is calculated as follows;

L.S.A = 3 (¹/₂ bh)

where;

L.S.A = 3 (¹/₂ x 10 m x 6.7 m )

L.S.A = 100.5 m²

The total surface area of the pyramid is calculated as follows;

T.S.A =  100.5 m² + 43.5 m²

T.S.A = 144 m²

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Answer:

Step-by-step explanation:

An equation contains a sign equality (=) between two expressions.

And an expression is a simple algebraic statement.

By these definitions,

          Equations                          Expressions

         x = 2x + 5                            21x - 13 + 11x

         \(\frac{1}{2}x=5+3\)                           -3.7x - 13  

         3x + 1 = -2.1                          \(\frac{1}{2}x+5\)

Step-by-step explanation:

\(area \: ofa \: circle = \pi {r}^{2} \)

\(\pi {r}^{2} = \frac{22}{7} \times {r}^{2} \\ 153.86 = \frac{22}{7 } \times {r}^{2} \: \: \: \: \: \: \\ {r}^{2} = \frac{153.86 \times 7}{22} \\ {r}^{2} = \frac{1,077.02}{22}\\ r = \sqrt{48.95} \\ = 6.99\)

So let's take r as 7

\(circumference \: of \: a \: circle = 2\pi r\)

\(2\pi r = 2 \times \frac{22}{7} \)

= 2× 22/7 × 7

= 44

Answer:

Step-by-step explanation:

I need help