I need help with number 35.

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

2x^2+3x-13x-1

Step-by-step explanation:

Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.

Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.

Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.

Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.

Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.

Answer:

c

Step-by-step explanation:

its c bc i got it right on test

To make the graph a function, remove points (-3, -) and (5, X). 2 points need to be eliminated.

We must eliminate all of the points from the following graph that don't conform to the definition of a function, which stipulates that each input (x-value) should only have one output (y-value). Observing the graph that is provided -5-4-3-2-1₁ 7 78 7 -2 -3- 2 3 4 5 X Because they have different y-values for the same x-value, the points (-3, -) and (5, X) are in violation of the definition of a function, as can be seen. As a result, we must eliminate these two points. In order for this graph to be a function, two points must be eliminated from it.

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Without a visual representation of the graph or adequate context, it's impossible to accurately determine the number of points that need to be removed for it to be a function. A function must pass the vertical line test, meaning any vertical line drawn through the graph only intersects the graph at one point.

Sorry, but without a visual representation of the graph or sufficient context, we cannot answer this question accurately. In general, for a graph to represent a function, it must pass the vertical line test. This means that for any vertical line drawn through the graph, the line can only intersect the graph at one point. If your graph doesn't pass this test, removing points on the graph that cause this may turn it into a function. However, without viewing your particular graph, the specific number of points that need to be removed cannot be determined.

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Answer:

His answer is wrong.

Step-by-step explanation:

-4(6-R)=12  <-- Since R is negative, -4 times -R results in a positive so, 4R.

-24+4R=12

+24       +24

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

4R = 36

R= 9

Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

D)2

Hope I helped! Hope you make an 100%

-Amelia♥

Answer:

C. 1/5

Step-by-step explanation:

Use any two points and substitute the values for the variables in the slope formula.

Slope formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

\(\frac{3-2}{10-5}=\frac{1}{5}\)

Answer:

Part B: r = 180/t

Step-by-step explanation:

In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.

A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.

Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:

U(X, Y) = 6X - Y

It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.

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The equation would have three roots.

The highest power term in a cubic equation is a variable raised to the third power, making it a polynomial equation of degree three. A cubic equation's general form is as follows:

Ax3 + Bx2 + Cx+ D = 0

There can be one, two, or three real roots in a cubic equation. Complex roots, which come in pairs called complex conjugates, are possible for cubic equations. The equation still has three roots in this instance, although they could not be true roots.

The roots of the equation are;

x1 = -2.19682

x2 = 0.14684

x3 = 1.54998

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To find the midpoint

(0,4 ) (4,8)

x₁ = 0 y₁=4 x₂=4 y₂=8

Formula for finding mid-point is;

[ x₁+x₂ /2 y₁+ y₂ /2]

Substituting the values into the above formula;

x₁+x₂ /2 = 0+4 /2 = 4/2 = 2

Similarly,

y₁+ y₂ /2 = 4+8 /2 = 12/2 =6

The coordinates of the midpoint are (2 , 6)

Answer:

To find out how much the TV is worth now, we need to apply the depreciation rate of 9% to the original price for 8 months:

First, let's calculate the value after the first month:

Value after 1 month = $2740 - (9% of $2740) = $2501.40

Now, let's calculate the value after 2 months:

Value after 2 months = $2501.40 - (9% of $2501.40) = $2275.80

We can continue this process for 8 months to find the current value:

Value after 3 months = $2071.67

Value after 4 months = $1888.81

Value after 5 months = $1725.10

Value after 6 months = $1579.92

Value after 7 months = $1452.16

Value after 8 months = $1339.53

Therefore, the TV is worth $1,339.53 now.

Answer:

Tiana scored 20 points.

Step-by-step explanation:

Answer: Tiana scored 20 points.

Step-by-step explanation:

44-20=24

If Jenny scored 4 more points than Tiana then Jenny scored 24 and Tiana scored 20.

The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

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Answer:

A.  21.

Step-by-step explanation:

4x + 2 = 31 + 55  (external angle of a triangle theorem).

4x + 2 = 86

4x = 86 - 2

4x = 84

x = 84/4 = 21.

Answer:

\(P =5x-260\)

Step-by-step explanation:

Given

\(R = 3x^2 + 4x - 60\) --- Revenue

\(C = 3x^2 - x + 200\) --- Cost

Required

The expression for profit (P)

This is calculated as:

\(P =R - C\)

So, we have:

\(P =3x^2 + 4x - 60 - (3x^2 -x+200)\)

Open bracket

\(P =3x^2 + 4x - 60 - 3x^2 +x-200\)

Collect like terms

\(P =3x^2 - 3x^2+ 4x +x- 60-200\)

\(P =5x-260\)

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

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Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

The student made an error in their solution by mistakenly separating the equations into two parts. The student solved the equation as sinθ = 1/2 and then sin²θ = 1/2 sinθ. However, these are the same equation and thus the student should have only solved for the single equation.

The student could have solved for the general solution by noting that sinθ = 1/2 and then utilizing the quadratic formula to solve for the other two values of x. However, they did not do so and thus only provided one solution.

The student should have taken into consideration the restrictions 0 ≤ θ&lt;2π and used this to find the specific values of θ that solve the equation. By not doing this, the student only provided one value for the equation, when there were in fact two. To rectify this error, the student should use the general solution and consider the restrictions to find the full set of solutions.

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Answer:The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).

What is an expression?

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of four and the sum of a number and three,

The above statement can be written as,

4÷(x + 3)

Here, x is the number

Step-by-step explanation:4÷(6+3)

6+3 is the sum of a number and 3, and you divide 4 by that.

Answer:

It's going to be the graph with the straight line that intersects through 0,1 and 2,1 and 3,1 and so on.

Step-by-step explanation:

f'(x) = 6x^2 - 6x, f''(x) = 12x - 6, the critical points are x = 0 (local maxima) and x = 1 (local minima), and the inflection point is x = 1/2.

(a) First, deriving the first and second derivatives of f(x) = 2x³ - 3x² + 1.

f'(x) = 6x² - 6x (first derivative)
f''(x) = 12x - 6 (second derivative)

(b) To find the critical points, we set f'(x) to 0 and solve for x:

6x² - 6x = 0
6x(x - 1) = 0

Critical points are x = 0 and x = 1.

(c) Findng he inflection points, we set f''(x) to 0 and solve for x:

12x - 6 = 0
12x = 6
x = 1/2

The inflection point is x = 1/2.

(d) Determining if the critical points are local maxima or local minima, we analyze the sign of the second derivative f''(x) at those points:

- f''(0) = -6 (negative), so x = 0 is a local maxima.
- f''(1) = 6 (positive), so x = 1 is a local minima.

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The required answer is :

a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

In this case, the sum of the two given sides (6 cm + 8 cm = 14 cm) is less than the length of the third side (12 cm).

Therefore, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 12 cm.

(b) The third side of the reflective sticker cannot be 2 cm long.

Applying the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

The sum of the two given sides (6 cm + 8 cm = 14 cm) is greater than the length of the third side (2 cm).

Hence, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 2 cm.

Therefore, a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

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Answer:

Step-by-step explanation:

x = -2

F(x)=1.5(2)^x=0.375 , G(x)=-3(1/4)^x=-48

x=0

F(x)=1.5(2)^x=3, G(x)=-3(1/4)^x=-3

x=1/2

F(x)=1.5(2)^x=1.06 , G(x)=-3(1/4)^x=-6

A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer:

sample space: 1,2,3,4,5,6

chance of a 5: 1/6

chance of not getting 3: 5/6

chance of even: 1/2

Step-by-step explanation:

there's a 1/6 in getting a 5 bc there's only one 5

there's 5/6 chance getting something other than 3 bc there's only one 3 so there are 5 other probabilities

1/2 or 3/6 chance at an even number bc half the numbers are even