Write an equation of the line in STANDARD FORM with a slope of 3 and passes through the point (6,-2) in standard form.

Answer:

-2x + 25

Step-by-step explanation:

-2(x - 10) + 5

-2x +20 +5

-2x + 25

Answer:

(B)25

Step-by-step explanation:

If Lines DE and AB intersect at point C; and

\(\angle ACE =(2x+2)^\circ\\\angle ECB=(5x+3)^\circ\)

From the attached diagram, we can see that Angles ACE and ECB are supplementary angles by the linear postulate.

Therefore:

\(\angle ACE +\angle ECB=180^\circ\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\2x+5x+2+3=180\\7x+5=180\\7x=175\\$Divide both sides by 7\\x=25\)

The correct answer is B.

Answer:

B. 25

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

40

Step-by-step explanation:

The spinner gives you 5 choices.

The die gives you 8 choices

Answer: The total number of choices is 5* 8 = 40

it is saying that You spin a spinner with five equal spaces so, we have 5

roll an eight - sided die so, we have 8

then, it is saying that

How many possible outcomes are in the sample space

= 5 × 8

= 40

Answer:

Step-by-step explanation:

there would be 2 left over

Answer:

0.216

Step-by-step explanation:

\(8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216\)

is this the standard form?

Answer: \(\frac{2}{9}\)

Step-by-step explanation:

4  out of 18 is:

\(\frac{4}{18}\)

but dividing both the top and bottom by 2 gives you:

\(\frac{2}{9}\)

Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

Answer:

\(y=8(0.7)^x\)

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

\(y=a(b)^x\)

where a is the original value and b is the percent change.

In your question:

\(y=8(0.7)^x\)

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

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Answer:

there no photo so I cant answer without seeing it

Answer:

\(2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}\)

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be \(y\). The magnitude of \(40\text{ m/s}\) will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is \(60^{\circ}\), we have:

\(\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}\)(Recall that \(\sin 60^{\circ}=\frac{\sqrt{3}}{2}\))

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation \(v_f^2=v_i^2+2a\Delta y\) to solve this problem, where \(v_f/v_i\) is final and initial velocity, respectively, \(a\) is acceleration, and \(\Delta y\) is distance travelled. The only acceleration is acceleration due to gravity, which is approximately \(9.8\:\mathrm{m/s^2}\). However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

Solving for \(v_f\):

\(v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}\)

Answer: 13

Step-by-step explanation:

-4 - 9 = -13

the critical value to test the given claim is ±1.96. If the test statistic falls outside this range, we would reject the null hypothesis in favor of the alternative hypothesis.

To determine the critical value for testing the given claim, we need to perform a hypothesis test. The claim is that the percentage of adults who paid with an interest-bearing credit card during Black Friday has increased.

We will use a two-proportion z-test to compare the proportion in the survey with the known population proportion. The null hypothesis (H₀) is that the percentage has not increased, and the alternative hypothesis (H₁) is that it has increased.

Given that the significance level is 0.05, we can find the critical value from the standard normal distribution table. For a two-tailed test at α = 0.05, the critical z-value is approximately ±1.96.

Therefore, the critical value to test the given claim is ±1.96. If the test statistic falls outside this range, we would reject the null hypothesis in favor of the alternative hypothesis.

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THE FUNCTION IS CONTINOUS - True

We see from the table that for every hour given, there will be a value of juice (cups). The graph would have been a linear graph between the time 4 hours and 8 hours with no jump or holes in the chart.

TIME REPRESENTS THE DEPENDANT VARIABLE - False

Time is the independent variable as it does not depend on any other value. The number of cups, on the other hand, depends on the number of hours, hence is a dependent variable

THE SCENARIO IS REPRESENTED BY

A LINEAR FUNCTION, SINCE THE RATE OF CHANGE, IS CONSTANT - True

The rate of change is 53 cups per hour, hence the function is linear.

AS THE AMOUNT OF TIME CONTINUES, THERE ARE FEWER CUPS OF JUICE POURED PER HOUR - False

The rate of change is a positive value, hence the number of cups poured per hour will increase

FOR EVERY ADDITIONAL HOUR, 53 CUPS OF JUICED IS POURED - True

The difference between the number of cups poured hourly is a constant of 53

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Firstly multiplication operation will be performed and the value on simplification will be -7.

The expression will be solved based on the sequence in order of operations. In the mentioned expression, parenthesis and exponents are not there. Thus, firstly we will multiply the values followed by division. Then we will perform addition and subtraction (PEMDAS).

Performing multiplication first -

Value = 27 ÷ 27 - 8

Performing division at second step -

Value = 1 - 8

We are left with subtraction, so performing it -

Value = -7

Therefore, firstly multiplication will be performed and the value is -7.

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Coupon STRIPS can be created from the given T-bond by removing the coupon payments from the bond and selling them as individual securities. Let's calculate how many coupon STRIPS can be created from this T-bond.

The bond has a 5% coupon, which means it will pay $5 million in interest every year. Over a period of 29 years, the total interest payments would be $5 million x 29 years = $145 million.

The par value of the bond is $100 million. After deducting the interest payments of $145 million, the remaining principal value is $100 million - $145 million = -$45 million.

Since there is a negative principal value, we cannot create any principal STRIPS from this bond. However, we can create coupon STRIPS equal to the number of coupon payments that will be made over the remaining life of the bond.

Therefore, we can create 29 coupon STRIPS of $5 million each from this T-bond. These coupon STRIPS will be sold separately and will not include the principal repayment of the bond.

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Answer:

\(4x + 5x + {9}^{ \degree} = {90}^{\degree} \\ 9x = {81}^{ \degree} \\ x = \frac{ {81}^{ \degree}}{9} \\ \therefore \: x = {9}^{ \degree}\)

Fοr x rοunding tο the nearest hundredth the value οf x = 0.115.

The pοwer tο which a number must be increased in οrder tο οbtain additiοnal values is referred tο as a lοgarithm. The easiest apprοach tο express enοrmοus numbers is this manner.

Many significant characteristics οf a lοgarithm demοnstrate that additiοn and subtractiοn lοgarithms may alsο be represented as multiplicatiοn and divisiοn οf lοgarithms. "The lοgarithm οf a pοsitive real integer, nοt equal tο οne, a, with regard tο base b

The given expressiοn is:

10⁵ˣ = 88

Taking lοg οn bοth sides we have:

lοg(10⁵ˣ) = lοg(88)

Using the pοwer rule:

5x * lοg(10) = lοg(88)

5x = lοg(88)

x = lοg(88) / 5

x = 0.115

Hence, rοunding tο the nearest hundredth the value οf x = 0.115.

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The probability that neither of the people have their ears pierced is 0.6157

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

The probability of A happening is the number of people who do not have their ears pierced divided by the total number of people in the sample, which is:

P(A) = (2000 - 430) / 2000 = 1570 / 2000 = 0.785

The conditional probability of B given A is the number of people who do not have their ears pierced and are still available to be selected as the second person divided by the total number of people available to be selected as the second person, which is:

P(B|A) = (2000 - 430 - 1) / (2000 - 1) = 1569 / 1999 = 0.7845

Therefore, the probability that neither of the people have their ears pierced is:

P(A) * P(B|A) = 0.785 * 0.7845 = 0.6157

Hence, the probability that neither of the people have their ears pierced is 0.6157

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

The expression 2(x + 3) is equivalent to 2x + 6

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Two expressions are said to be equivalent if their values are the same with each other.

For example, the expression 2(x + 3) is equivalent to 2x + 6 because:

2(x + 3)

Opening the parenthesis and simplifying:

= 2x + 6

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Answer:

720,800/(10^5)

Step-by-step explanation:

divide by 10 = move one place to the left

720,800=7.208

that is 5 places so divide by 10^5

Hope this helps :D

Answer:

116.2

Step-by-step explanation:

The circumference formula is C= 2 (pi)r

Plugin our number

C=2(pi )18.5

Then mulitply and we get the product

116.24

round to the nearest tenth

116.24

The circumference of the circle to the nearest tenth is approximately 116.1 meters.

Circumference refers to the distance around the edge or boundary of a circular object or shape. It is the measurement of the total length of the circle.

The formula for the circumference of a circle is given by:

C = 2πr

where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting the given value of the radius into the formula, we get:

C = 2π(18.5)

= 37π

≈ 116.1

Therefore, the circumference of the circle to the nearest tenth is approximately 116.1 meters.

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Step-by-step explanation:

\(2 \sqrt{17} \)

Hope it can help you lovelots

The solution to the original equation is approximately 1.4422.

To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:

- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422

Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.

In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.  

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False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

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Answer: a

B

Step-by-step explanation:

Be

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let y represent the cost of producing x number of beach balls.

Using the point (10000, 587500) and (50000, 717500):

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-717500=\frac{717500-587500}{50000-10000} (x-10000)\\\\y=3.25x+685000\)

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

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To determine the convergence or divergence of the sequence with the given nth term a_n = (9n)! (9n - 1)!, we can use the Ratio Test. The Ratio Test states that if the limit as n approaches infinity of the absolute value of a_(n+1) / a_n is less than 1, the sequence converges. If the limit is greater than 1, the sequence diverges.

Let's find a_(n+1) / a_n:

a_(n+1) = (9(n+1))! (9(n+1) - 1)!
a_n = (9n)! (9n - 1)!

a_(n+1) / a_n = [(9(n+1))! (9(n+1) - 1)!] / [(9n)! (9n - 1)!]

Now, let's simplify the expression:

a_(n+1) / a_n = [(9n+9)! (9n+8)!] / [(9n)! (9n - 1)!]

To evaluate the limit as n approaches infinity, we can look at the behavior of the factorials:

As n approaches infinity, the factorials in the numerator and the denominator grow rapidly. However, (9n+9)! and (9n+8)! will grow faster than (9n)! and (9n-1)!. Therefore, the limit as n approaches infinity of the absolute value of a_(n+1) / a_n will be greater than 1.

Since the limit is greater than 1, the sequence diverges. Your answer: the sequence diverges.

We can use the ratio test to determine the convergence or divergence of the sequence.

Using the ratio test, we have:

lim┬(n→∞)⁡〖|a_(n+1)/a_n|=lim┬(n→∞)⁡|((9(n+1))!/(9(n+1)-1)!)((9n-1)!/(9n!))| 〗

= lim┬(n→∞)⁡(9n+1)/(9n-1)

= 9

Since the limit is greater than 1, the series diverges. Therefore, the sequence also diverges.

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