Use the Quadratic Formula to solve the equation x^2 - 6x = - 18.

if 308 tenths then the answer is 30.8

if 300+8 tenths then the answer is 300.8

The value of x = 50°

What is the triangle?

A triangle is a 3 line segments with a closed diagram. It has 3 vertices, 3 sides and 3 angles. The sum of all interior angles is 180°.

Given figure y° = 40° and right angle triangle.

So, all interior angles sum is 180°.

90° + y° + x° = 180°

90° + 40° + x° = 180°

x° = 50°

Therefore, the value of x = 50°

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On solving the provided question, we can say that - The difference between them is \(47.5 - 34 = 13.5%\)

Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. The standard deviation, abbreviated as, expresses how much the data deviate from the mean. When the standard deviation is low, the data tend to be grouped around the mean, but when the standard deviation is large, the data are dispersed more widely.

95% of the population will be within 2 standard deviations, according to the empirical rule. 68% of the population is within 2 standard deviation. Divide these percentages in half if you just want to find above-the-mean values between these values rather than both.

\(68/2 = 34%\\95/2 = 47.5%\)

The difference between them is \(47.5 - 34 = 13.5%\)

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Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

Answer:

a. x² + 6x + 9 = -22 + 9

Step-by-step explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.

Answer:

In TTM/Imagine Math it is top left or a.

Step-by-step explanation:

9514 1404 393

Answer:

  1

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  8 = 2×2×2 = 2³

  4 = 2×2 = 2²

so the problem can be rewritten as ...

  \(\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}\)

__

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

______

Alternate solution

You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.

Answer: c. Point S

Step-by-step explanation:

Answer:point s

Step-by-step explanation:

The 5 "Ws" that are typically included in a table to articulate and evaluate the value of a work project are Why, What, Who, When, and Where.

These 5 "Ws" provide essential information about the project and help in understanding its purpose, scope, and impact.

1. Why: This addresses the motivation and justification behind the project. It explains the problem or opportunity that the project aims to address and the reasons for undertaking it. It helps stakeholders understand the significance and relevance of the project.

2. What: This describes the objectives, deliverables, and desired outcomes of the project. It outlines the specific tasks, activities, or milestones that need to be achieved to accomplish the project's goals. It provides clarity on the project's scope and helps set expectations.

3. Who: This identifies the individuals or groups involved in the project. It includes project team members, stakeholders, sponsors, and any other relevant parties. Understanding the roles and responsibilities of different stakeholders helps in effective project management and collaboration.

4. When: This defines the project timeline and milestones. It includes the start and end dates of the project, as well as any important deadlines or key dates associated with specific deliverables or activities. It helps in tracking progress and ensuring timely completion of the project.

5. Where: This specifies the project location or the context in which it is taking place. It could be a physical location, such as a specific site or office, or it could refer to a specific department or division within an organization. Understanding the project's environment helps in planning and coordinating resources effectively.

Including these 5 "Ws" in a table provides a comprehensive overview of the project, covering its purpose, scope, stakeholders, timeline, and context. It facilitates effective communication, decision-making, and evaluation of the project's value and progress.

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Answer:

-f = 10

Step-by-step explanation:

f(x) = 13 · \((1.3)^{x}\), if x = -1

f(-1) = 13 · \(1.3^{-1}\)

-1f = 13 · \(1.3^{-1}\)

-f = 13 · \(\frac{1}{1.3}\)

-f = 1.3 (10) · \(\frac{1}{1.3}\)

1.3 cancels

-f = 10

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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Answer:

D. a shift to the right

Step-by-step explanation:

As my teacher use to say, you run the opposite way of your crazy ex. So, if the number is negative, it moves to the right. If it's positive, it moves to the left. If it's a power, it goes up or down.

// have a great day //

Answer:

D, shift to the right

Step- by-step explanation:

When equations or functions have numbers that are subtracting it's shifted to the right

When they are adding they are shifted to the left

Hope this helps!

Answer:

The equation of the perpendicular bisector is y =  \(\frac{-1}{2}\) x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

∵ A line passes through points (-1, 5) and (-7, -7)

∴ x1 = -1 ad y1 = 5

∴ x2 = -7 and y2 = -7

→ Use the rule of the slope above to find the slope of the line

∵ m = \(\frac{-7-5}{-7--1}\) = \(\frac{-12}{-7+1}\) = \(\frac{-12}{-6}\) = 2

∴ m = 2

→ Reciprocal the value of m and change its sign to find the slope of

  the line perpendicular line

∴ m⊥ = \(\frac{-1}{2}\)

→ Substitute in the form of the equation above

∵ y = \(\frac{-1}{2}\) x + b

∵ The ⊥ line is also the bisector of the given line, find the mid-point

   of the given line because it is also lying on the ⊥ line

∵ M = (\(\frac{-1+-7}{2},\frac{5+-7}{2}\)) =  (\(\frac{-8}{2},\frac{-2}{2}\)) = (-4, -1)

∴ M = (-4, -1)

→ Substitute the coordinates of M in the equation of the ⊥ line above

∵ x = -4 and y = -1

∴ -1 = \(\frac{-1}{2}\) (-4) + b

∴ -1 = 2 + b

→ Subtract 2 from both sides

∴ -3 = b

→ Substitute the value of b in the equation

∴  y =  \(\frac{-1}{2}\) x + -3

∴ y =  \(\frac{-1}{2}\) x - 3

∴ The equation of the perpendicular bisector is y =  \(\frac{-1}{2}\) x - 3

Answer:

x + 6 = -6

Step-by-step explanation:

Assuming x = -6

\(x+6=0\)

Subtract 6

\(x+6-6=0-6\)

Simplify arithmetic

\(x=0-6\)

Simplify arithmetic(again)

\(x=-6\)

we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.

Hope this helps, have a great day!

The square root of a number can also be negative number so x could also be -9

Square root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.

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The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.

Thus, the required question, solution, and answer are mentioned above.

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Answer:

whats the full question?

Step-by-step explanation:

The answer is C.

The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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To write linear density in Wileyplus, first identify the mass of the linear object, as well as the length of the linear object. Then, divide the mass by the length to calculate the linear density.

To write linear density in WileyPlus, you can use the following steps:

1. First, open the WileyPlus platform and navigate to the assignment or problem you are working on.

2. Next, identify the linear density equation you need to use. The most common equation for linear density is p = m/L, where p is the linear density, m is the mass, and L is the length.

3. Once you have identified the equation, input the values for the mass and length into the equation. For example, if the mass is 10 grams and the length is 2 meters, the equation would be p = 10/2.

4. Solve the equation to find the linear density. In this example, the linear density would be 5 grams per meter.

5. Finally, input the linear density into the appropriate field in WileyPlus. This may be a text box, a drop-down menu, or another type of input field.

By following these steps, you can easily write linear density in WileyPlus. Remember to always double-check your work and make sure that your answer is accurate and complete before submitting it.

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answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

The volume of the given cylinder is 400π cubic millimeter.

Given that, a cylinder has a radius of 5 mm and a height of 8 mm.

We know that, the volume of a cylinder is πr²h.

Here, volume = π×5²×8

= π×25×8

= 400π

Therefore, the volume of the given cylinder is 400π cubic millimeter.

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The correct option regarding the inverse function is given by:

B.They are reflections of each other.

The inverse function is the reflection of the original function over the line y = x, that is, they are reflections of each other, hence option B is correct.

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Rounding to the nearest integer, the predicted calorie count for a cereal with 14 grams of sugar per serving is approximately 163 calories.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics,

To calculate the predicted calorie count for a cereal with 14 grams of sugar per serving using the predictive regression equation y^ = 94.639 + 4.918x, we substitute x = 14 into the equation.

y^ = 94.639 + 4.918(14)

y^ = 94.639 + 68.852

y^ ≈ 163.491

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The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."

The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.

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Answer:

3.06 change

Step-by-step explanation:

total cost food 16.94. 20-16.94=3.06

Answer:

170 cm

Step-by-step explanation:

2 * 1 1/2 * 2 = 6

1 1/2 * 4 * 2 = 12

2 * 4 * 2 = 16

In total: 6 + 12 + 16 = 34.  

Samir needs to cover 5 of these blocks so: 34 x 5 = 170

I also did the quiz.

Answer: 170cm

Step-by-step explanation: I did the test!! From k12

If each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. BetaMarket chooses the price of $33.33 in equilibrium.

AlphaMart sells groceries at the west end of Main Street, a street that is one kilometer long. AlphaMart competes with BetaMarket, which is located at the east end of the street. AlphaMart and BetaMarket sell groceries that are identical in every respect, apart from the locations of the two stores. The marginal cost of an item of groceries is $3 for both retailers.

Main Street is home to 200 consumers; the consumers are evenly spaced along the street. Each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. To calculate the equilibrium price of BetaMarket, we first need to find out the quantity demanded at each price point.

The quantity demanded for each price point can be found by subtracting the number of consumers who are closer to AlphaMart than to BetaMarket from the total number of consumers. Let the price charged by BetaMarket be P. If BetaMarket charges P, then the demand for BetaMarket's groceries is given by:

QB = 200/2 - 1/2 (P + 12) = 100 - 1/2 (P + 12)

QB = 100 - 1/2P - 6

We can now write down BetaMarket's profit function as:

πB = QB(P - 3) = (100 - 1/2P - 6)(P - 3)

πB = 100P - 3/2P² - 309

From this, we can find the first-order condition for profit maximization by differentiating the profit function with respect to P and setting it equal to zero:

∂πB/∂P = 100 - 3P = 0P = 100/3

Thus, BetaMarket chooses to set the price at $33.33 in equilibrium.

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x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

What is, axis of symmetry, vertex and x - intercept?

A vertical line that splits the parabola into two equal half is the axis of symmetry. The equation x = - b/2a tells us where the line of symmetry lies. The parabola's vertex, which is a point (x, y), is where it crosses its axis of symmetry.

A line's x-intercept is the location at which the x-axis is crossed.

Consider, the given equation,

\(f(x) = \frac{1}{4}(x - 1)(x + 7)\)

Let,

\(y = \frac{1}{4}(x - 1)(x + 7)\)             ..(1)

To find x - intercept, plug y = 0 in above equation,

\(\frac{1}{4}(x - 1)(x + 7) = 0\\ (x - 1)(x + 7) = 0\\(x - 1) = 0, (x + 7) = 0\\x = 1, x = -7\)

Therefore, x = 1 and x = -7 are the x - intercepts.

Since, the x-coordinate of the vertex is at the midpoint of the x-intercepts.

So,

\(x = \frac{-7+1}{2} = \frac{-6}{2} = -3\)

Plug x = -3 in equation (1)

\(y = \frac{1}{4}(-4)(4) = -4\)

Therefore, the vertex is, (-3, -4).

The x - coordinate of the vertex is the axis of symmetry.

Therefore, axis of symmetry is x = -3.

Hence, x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

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