What is the verbal sentence for 4(a+b)=9a the

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Answer:

what u need help with

Step-by-step explanation:

Answer:

15. 2

16. \(\frac{27}{16}\) or 1.6875

17. \(\frac{17}{30}\) or 0.5666666667

18. 5

19. \(\frac{35}{8}\) or 4.375

20. \(\frac{22}{5}\) or 4.4

Step-by-step explanation:

Find common denominators. Multiply then simplify (if possible).

Answer: 40

Step-by-step explanation:

Answer:

40 basketballs in 5 hours

Step-by-step explanation:

If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8

Multiply how much she can make every hour by the amount of hours.

8 x 5 = 40

To prove that (6,1) is a solution to the system, we have to evaluate it in each equation, if it satisfies both equations, then it's a solution to the system.

EVALUATING (6,1) IN THE FIRST QUESTION.

As you can observe, the given coordinated pair satisfies the first equation.

EVALUATING (6,1) IN THE SECOND EQUATION.

The pair also satisfies the second equation.

The derivative  of y with respect to x is -2.

To find \(\frac{dy}{dx}\), we first need to express y and x in terms of a common variable, which we choose to be t.

Given x = t^2, we can differentiate both sides with respect to t using the chain rule to obtain:

\(\frac{dx}{dt}\) = 2t

Solving for t, we get:

t = (1/2) \(\frac{dx}{dt}\)

Substituting this value of t into the equation y = 8 - 2t, we get:

y = 8 - 2((1/2) \(\frac{dx}{dt}\))

Simplifying, we get:

y = 8 -\(\frac{dx}{dt}\)

Differentiating both sides with respect to x using the chain rule, we get:

\(\frac{dy}{dx}\) = d/dx(8 - \(\frac{dx}{dt}\))

Using the chain rule again, we have:

\(\frac{dy}{dx}\) = -    \(\frac{d(dx/dx)/dt }\)

Since \(\frac{dx}{dt}\) = 2t, we can substitute this to obtain:

\(\frac{dy}{dx}\) = -\(\frac{d2t}{dt}\)

Taking the derivative of 2t with respect to t, we get:

\(\frac{dy}{dx}\) = -2

Therefore, the derivative of y with respect to x is -2.

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Answer:

x≥12, Michael must grow for 12 more months (a year) before he can ride a roller coaster.

Step-by-step explanation:

The inequality to represent how tall you must be to go on a roller coaster is

x≥48 because you must be a minimum of 48 inches tall, 'x' represents how tall you must be

If Michael is already 42 inches tall, that is his base point but you need to know how many more months he will need to grow for.

1/2x represents the amount of months Michael needs to grow, x is the unknown variable we need to solve for which represents the months he needs to grow, 1/2 is how many inches he grows in 1 month

42+1/2x≥ 48

subtract 42 from each side) 1/2x≥6

multiply both sides by 2) x≥12

Answer:

0.0015

0.0050

0.0150

0.1050

Step-by-step explanation:

Answer:

0.0015

0.0050

0.0150

0.1050

Answer:

Option 6

Step-by-step explanation:

we note the coordinates as follow

(x,y)-> (x,y)

but here the y position has come in front in the coordinates of image and its sign also changes.

The x coordinate has moved behind in place of y and its sign remains the same.

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Answer:

x= -2

Step-by-step explanation:

Answer:

Vertex - (2,1)

minimum

Step-by-step explanation:

minimum y≥1

Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer:

9 pounds of chocolate candy

6 pounds of sugar candy

Step-by-step explanation:

x will represent pounds of chocolate candies used

y will represent pounds of sugar candies used

x + y = 15

x · $7.00 + $2.00 · y = $5.00 · 15

x = 15 - y

(15 - y) · $7.00 + $2.00 · y = $5.00 · 15

105 - $5.00 · y = 75

105 - 75 = $5.00 · y

$30 = $5.00 · y

$30 ÷ $5 = y

$30 ÷ $5 = 6

y = 6

x + y = 15

x + 6 = 15

x + 6 - 6 = 15 - 6

x = 9

Approximately 10 pounds of hazelnuts and 22 pounds of peanuts should be used to make the 32-pound mixture that sells for $4.97 per pound.

To solve this problem, we can use a system of equations. Let x be the number of pounds of hazelnuts and y be the number of pounds of peanuts. Then we have:

x + y = 32 (since we want a 32 pound mixture)
7.10x + 4.00y = 4.97(32) (since we want the mixture to sell for $4.97 per pound)

Simplifying the second equation, we get:

7.10x + 4.00y = 159.04

Now we can use the first equation to solve for one of the variables in terms of the other. For example, solving for y, we get:

y = 32 - x

Substituting this into the second equation, we get:

7.10x + 4.00(32 - x) = 159.04

Simplifying and solving for x, we get:

3.10x + 128 = 159.04

3.10x = 31.04

x = 10

So we need 10 pounds of hazelnuts. To find the number of pounds of peanuts, we can use the first equation:

x + y = 32

10 + y = 32

y = 22

So we need 22 pounds of peanuts. Therefore, we should use 10 pounds of hazelnuts and 22 pounds of peanuts to make a 32 pound mixture that sells for $4.97 per pound.

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Answer:

uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli

Step-by-step explanation:

Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

According to the statement

we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.

So, For this purpose, we know that the

Discrete events are those with a finite number of outcomes

And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.

The main example of this is Binomial.

And the two conditions of the probability distribution is :

So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

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Answer: C, 217

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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The result of force and displacement is referred to as the work performed by moving particles. The particle is pushed along the x-axis between 0 and 9 feet, and the work is measured in pound-feet (9).

The result of force and displacement is referred to as the work performed by moving particles. Additionally, it can be found with the aid of integration by integrating force in relation to displacement.

Given,

\(F = \frac{10}{1+x^{2} }\)

The particle's separation from the origin is equal to 9 pounds.

The formula for the task completed is known to be provided by

W= F∫dx will be the work performed on the particle.

W = 10 [ 0.1 + 1 ]

W = 10 [ 0.9 ]

W = 9

So, 9 pound-feet of work were completed.

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Answer: 7.4

Step-by-step explanation:

\(\frac{x}{\sin 46^{\circ}}=\frac{5}{\sin 29^{\circ}}\\\\x=\frac{5\sin 46^{\circ}}{\sin 29^{\circ}}\\\\x \approx 7.4\)

Answer:

Step-by-step explanation:

The phase of the systems life cycle during which users are trained to use the new system is called the implementation phase. In this phase, the new system is installed and made operational, and users are trained on how to use it effectively. This phase typically follows the design and development phases and precedes the maintenance phase.

What is the main focus of the implementation phase in the systems life cycle?

The main focus of the implementation phase is training users to use the new system effectively. This includes installing the system and making it operational, as well as providing necessary support and training to ensure users are able to utilize the system efficiently.

The phase of the systems life cycle during which users are trained to use the new system is the implementation phase. This is the phase where the new system is actually implemented and made available for use by the users. It is important to provide training to users during this phase so that they are able to effectively use the new system and understand its functionality.

Therefore, users are trained to use the new system during the implementation phase.

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The implementation phase of the systems life cycle is the time when users are taught how to utilize the new system.

The new system is installed, made operational, and users are instructed on how to utilize it efficiently during the implementation phase. In most cases, this phase comes after the design and development phases and comes before the maintenance period.

Why is user training important during the implementation phase of the systems life cycle?

User training is important during the implementation phase of the systems life cycle because it ensures that users are able to effectively use the new system and understand how it works. This is essential for the successful adoption and utilization of the system by the organization. Without proper training, users may struggle to use the system effectively, leading to reduced productivity and potentially even causing issues with data accuracy and integrity. By providing thorough user training, organizations can ensure that their employees are able to use the new system efficiently and effectively, leading to a successful implementation.

The implementation phase of the systems life cycle is the time when users are taught how to utilise the new system. In this stage, the new system is really put into use and made accessible to users. During this stage, it's crucial to give users training so they can utilize the new system correctly and comprehend its functions.

Therefore, during the implementation phase, users are instructed on how to utilize the new system.

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This behavior demonstrates the theory of social contagion, where individuals are influenced by the actions and emotions of others in a social setting.

The theory of social contagion suggests that individuals in a social setting can be influenced by the emotions, behaviors, and actions of those around them. When people laugh, clap, or cheer in a crowded arena, it creates a contagious atmosphere where the emotions and behaviors spread rapidly among the individuals present. This phenomenon can be attributed to various psychological mechanisms, such as conformity, social facilitation, and emotional contagion.

Conformity plays a role in this scenario, as individuals have a natural tendency to conform to the norms and expectations of the group. When others laugh, clap, or cheer, it signals social approval and acceptance of the speaker's performance. Consequently, individuals may feel inclined to join in, even if they do not genuinely find the speaker entertaining or compelling.

Social facilitation also contributes to this behavior. The presence of a large crowd can heighten arousal and increase individuals' performance on simple or well-practiced tasks. In this case, clapping, laughing, or cheering are relatively easy actions that require minimal cognitive effort, making it more likely for individuals to engage in these behaviors.

Emotional contagion is another factor at play. Humans are wired to empathize and connect with others emotionally. When people around us display positive emotions, such as laughter or excitement, we tend to "catch" those emotions and experience them ourselves. This emotional contagion further reinforces the tendency to follow along with the crowd's actions.

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Answer:

girl what SOBS

Step-by-step explanation:

i dont know what language u speaking bur pop off girl

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

Answer:

172 1/2 lb

Step-by-step explanation:

Determine the rate of change per month = lifts lifted in march - lift lifted in February

142 1/2 - 135 = 7 1/2

Determine the number of months from march to July = 4

increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb

weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

The customer should conclude that the GEM Fund is being sold at a premium, as its POP is higher than its NAV. Conversely, the ABC Fund is being sold at a discount, as its POP is lower than its NAV.

The Net Asset Value (NAV) represents the value of a mutual fund's assets per share. It is calculated by dividing the total value of the fund's assets by the number of shares outstanding. The Public Offering Price (POP), on the other hand, is the price at which new shares of the mutual fund are being sold to investors.

In the given scenario, the GEM Fund has an NAV of $12 and a POP of $12.50. Since the POP is higher than the NAV, it indicates that investors are required to pay a premium of $0.50 per share to purchase the GEM Fund. This premium can be seen as an additional cost or fee associated with buying into the fund.

On the other hand, the ABC Fund has an NAV of $11.50 and a POP of $10.98. Here, the POP is lower than the NAV, suggesting that investors can purchase shares of the ABC Fund at a discount of $0.52 per share compared to its underlying asset value.

Therefore, based on the provided information, the customer can conclude that the GEM Fund is being sold at a premium, while the ABC Fund is being sold at a discount.

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To find the area of the region enclosed by the curves y = x^2 + 12 and y = x^4, we need to determine the points of intersection of the two curves and then integrate the difference between the curves within that interval.

First, let's find the points of intersection by setting the two equations equal to each other:

x^2 + 12 = x^4

Rearranging the equation, we have:

x^4 - x^2 - 12 = 0

Factoring the equation, we get:

(x^2 - 4)(x^2 + 3) = 0

This gives us two sets of solutions:

x^2 - 4 = 0, which yields x = -2 and x = 2

x^2 + 3 = 0, which has no real solutions

Therefore, the region enclosed by the curves lies between x = -2 and x = 2.

Next, we need to determine which curve is above the other within this interval. By plotting the two curves, we can see that the curve y = x^2 + 12 is above the curve y = x^4.

Now, we can calculate the area using the integral:

Area = ∫[a,b] (f(x) - g(x)) dx

In this case, the area is given by:

Area = ∫[-2,2] ((x^2 + 12) - (x^4)) dx

Evaluating this integral will give us the area of the region enclosed by the curves.

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