find the area please and thank you

The equation of line with slope 1/3 and intercept 5 is y = 1/3 x + 5.

The general equation of a straight line is y = mx + c, where m is the gradient or slope, and y = c is the value where the line cuts the y-axis. This number c is called as intercept.

According to the questions,

slope = m = 1/3

and

y-intercept = c= 5

We know that,

The general equation of a straight line is y = mx + c

y = 1/3 x+ 5

The required equation of a line is y = 1/3 x+ 5

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Answer:

1/a^2 is the answer to this question

Answer:

3/4

Because 6 are not white so 6/8 and divide each by 2

6 divided by 2 = 3

8 divided by 2 = 4

= 3/4

Step-by-step explanation:

Hope this helps her!!!

Answer:

1. x=2

2. x= -4

3. x= -7

4. x = -4

Step-by-step explanation:

hope this helps :)

Answer:

the first one is x=2 the second one is x=-4 the third one is x= -7the fourth one is x=4

Step-by-step explanation:

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Belinda would have to pay $10,765.16  at the end of 18 months to clear the remaining balance.

To calculate the final payment, we need to consider the initial loan amount, the interest rate, and the time period. Belinda borrowed $18,500 at a simple interest rate of 4.40% per year.

She made two payments during the loan period. At the end of 3 months, she paid $5,200, and at the end of 6 months, she paid $3,200. These payments reduce the outstanding balance.

To calculate the remaining balance after the initial payments, we subtract the total amount paid from the initial loan amount:

Remaining Balance = Initial Loan Amount - Total Amount Paid

= $18,500 - ($5,200 + $3,200) = $10,100

Now, we need to calculate the interest accrued on the remaining balance for the remaining 12 months (18 months - 6 months). To calculate the interest, we use the formula: Interest = Principal * Rate * Time.

Interest = $10,100 * 0.044 * (12/12) = $443.44

Finally, we add the interest accrued to the remaining balance to find the final payment: Final Payment = Remaining Balance + Interest Accrued = $10,100 + $443.44 = $10,543.44

Therefore, Belinda would have to pay $10,543.44 at the end of 18 months to clear the balance. However, since we are using 'now' as the focal date, and 18 months have already passed, we need to account for the additional 6 months that have elapsed. Hence, the final payment becomes:

Final Payment = Remaining Balance + Interest Accrued for the additional 6 months = $10,100 + $443.44 + ($10,100 * 0.044 * (6/12)) = $10,765.16. Therefore, Belinda would have to pay $10,765.16 at the end of 18 months from 'now' to clear the balance.

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The complete question is:

Belinda borrowed $18,500 at simple interest rate of 4.40% p.a. from her parents to start a business. At the end of 3 months, she paid them $5,200 and $3,200 at the end of 6 months. How much would she have to pay them at the end of 18 months to clear the balance? Use 'now' as the focal date.

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To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

The 95% confidence interval for the mean height of the class is \(\((65.42, 66.94)\)\) inches.

To calculate the confidence interval, we need the sample mean, the standard deviation, and the desired level of confidence. In this case, the sample mean height is 66.18 inches and the standard deviation is 2.96 inches. The level of confidence is 95%.

Using the formula for the confidence interval, which is \(\(\bar{X} \pm Z \frac{\sigma}{\sqrt{n}}\), where \(\bar{X}\)\) is the sample mean, \(\(\sigma\)\) is the population standard deviation, \(n\) is the sample size, and \(\(Z\)\) is the critical value corresponding to the desired level of confidence, we can calculate the confidence interval.

Since the sample size is 30, the critical value for a 95% confidence level is 1.96 (based on the standard normal distribution). Plugging in the values into the formula, we have:

\(66.18 \pm 1.96 \frac{2.96}{\sqrt{30}}\)

Simplifying the expression, we find that the confidence interval for the mean height is \(\((65.42, 66.94)\)\) inches. This means that we can be 95% confident that the true population mean height falls within this range.

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C and A

hope that helps:)

Answer:

q1 i think it is c

q2 is  a

Step-by-step explanation:

if correct plz mark as brainliest

thank you

19NBoli

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

a). Amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new cracker box = 216 in³

Step-by-step explanation:

Volume of the Graham cracker box = volume of the rectangular prism formed

                                                           = Length × Width × Height

                                                           = 6 × 2 × 9

                                                           = 108 in³

a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.

When manufacturer doubles the height,  

Amount of cardboard required = surface area of the rectangular prism

                                                      = 2(lw + wh + hl)

                                                      = 2(6×2 + 2×18 + 18×6)

                                                      = 2(12 + 36 + 108)

                                                      = 2(66)

                                                      = 132 in²

When manufacturer doubles the width,

Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)

                                                               = 2(24 + 36 + 54)

                                                               = 2(114)

                                                               = 228 in²

Therefore, amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new Graham box = 2(Volume of the old box)

                                                           = 2 × 108

                                                           = 216 in³

The expected value is 6.0.

The expected value (or mean) of a probability distribution can be obtained by the formulaµ = E(X) = ∑ xᵢP(xᵢ). The given probability distribution has a mean of 7, a median of 6, a standard deviation of 3, and a variance of 9. Therefore, we can get the expected value using the formulaµ = E(X) = ∑ xᵢP(xᵢ).

Mean = 7Median = 6Standard deviation = 3Variance = 9The formula for variance is:Variance = (Standard deviation)²9 = (3)²Variance = 9The formula for variance can be modified as:

Variance = E(X²) - [E(X)]²Variance + [E(X)]² = E(X²)Substituting the values,9 + 7² = E(X²)E(X²) = 58To find expected value (or mean), the formula is:µ = E(X) = ∑ xᵢP(xᵢ)The median is the value that separates the upper 50% of the distribution from the lower 50%.

The mean is a measure of the central tendency of the distribution. So, the probability distribution is skewed to the right. There are many possible ways to construct a probability distribution with the given mean, median, variance, and standard deviation.

One example of such a probability distribution is shown below:x: 0 1 5 6 9P(x): 0.05 0.1 0.4 0.3 0.15Using the formula µ = E(X) = ∑ xᵢP(xᵢ), the expected value isµ = 0(0.05) + 1(0.1) + 5(0.4) + 6(0.3) + 9(0.15)µ = 0.5 + 2 + 1.8 + 1.35 + 1.35µ = 6.0Thus, the expected value is 6.0.

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Answer:

40 + 6x = 3

Step-by-step explanation:

Multiple all the way through by 8

8( 5 + \(\frac{3}{4}\) x) = (\(\frac{3}{8}\))8

8(5) + \(\frac{8}{1}\)\((\frac{3}{4})\)x = \(\frac{3}{8}\)\((\frac{8}{1})\)

40 + 6x = 3

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

A I think Check it

Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

The function f has the property injective. (D)

An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.

In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.

It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.

As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.

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Answer:

He would look at 3 sites in 20 minutes.

Step-by-step explanation:

Answer:

3 websites

Step-by-step explanation:

6 hours =6*60 min.=  360 minutes

360/20=18

54/18=3 websites

54 web sites                         360 minutes

???????                                   20 minutes

cross multiply

(54*20)/360= 3 websites

The six attributes of a variable in imperative languages are name, address, value, type, lifetime, and scope.

Name: The name of a variable is used to identify it in the program. It is usually a short, descriptive identifier, such as x or y.

Address: The address of a variable is the location in memory where the variable's value is stored.

Value: The value of a variable is the data that is stored in the variable. It can be a number, a string, a Boolean value, or an object.

Type: The type of a variable specifies the kind of data that can be stored in the variable. For example, the type of the variable x could be int, float, or string.

Lifetime: The lifetime of a variable is the period of time during which the variable is accessible in the program. A variable's lifetime begins when it is declared and ends when it is no longer needed.

Scope: The scope of a variable is the part of the program where the variable can be accessed. A variable's scope is determined by the block of code in which it is declared.

These six attributes are essential for understanding how variables work in imperative languages. By understanding these attributes, programmers can write more efficient and reliable code.

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Answer:

\(x = 1 +/- \frac{i\sqrt{10} }{2}\)

Step-by-step explanation:

The equation given is:

\(2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0\)

Using quadratic formula:

\(x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}\)

From the question:

a = 2, b = -4, c = 7

Therefore:

\(x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\\)

=> \(x = 1 +/- \frac{i\sqrt{10} }{2}\)

The solution of given quadratic equation is given as   \(x = 1 \pm i\dfrac{\sqrt{10}}{2}\)

Given the quadratic equation:

\(2x^2 = 4x -7\)

Formula for finding roots of quadratic equation \(ax^2 + bx + c = 0\) is given by:

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\)

Here, we get a = 2, b = -4, and c = 7.

Thus, the roots can be found as:

\(x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}\)

Thus, the solution of the given quadratic equation is given as  \(x = 1 \pm i\dfrac{\sqrt{10}}{2}\).

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According to the values of the kite,

1. m∠QRT will be 51°.

2. m∠QPS will be 110°

3. m ∠ PSR will be 59°

To determine the angles with the figures of the kite given above, note that ∠QPS ≅ ∠QRS

m∠QPS = the sum of m∠QRT and ∠PSR

m∠QPS = 51° + 59°

So, m∠QPS = 110°

Note that angle QRT is gotten by the formula 1/2(180 - m∠PQR)

1/2(180 - 78°)

= 1/2(102)

= 51°

So, with the above calculations, we can arrive at the various angles where angle QRT is 51°, angle QPS is 110°, and angle PSR is 59°.

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Answer:

4/9

Step-by-step explanation:

(2/3)²

Distribute the square to the numerator and denominator.

2²/3²

Square the numerator and denominator.

4/9

The answer is 4/9.

Answer:

\(\frac{4}{9}\)

Step-by-step explanation:

Firstly, This is not an equation. This is an expression!

Now, The solving:

=> \((\frac{2}{3})^2\)

=> \(\frac{(2)^2}{(3)^2}\)

=> \(\frac{4}{9}\)

This is the Answer!

Hope it helps!

Don't hesitate asking anything regarding this!

Answer: x = 72

Step 1: Add 17 to both sides.

Step 2: Multiply both sides by 8/3.

The British entrepreneurs than for British corporate managers at a significance level of 0.05.

The two-sample t-test for the difference in means, with unequal variances.

The null hypothesis is

H0: μ1 - μ2 = 0

where μ1 is the population mean number of job changes for British entrepreneurs, and μ2 is the population mean number of job changes for British corporate managers.

The alternative hypothesis is:

Ha: μ1 - μ2 > 0

We will use a significance level of α = 0.05.

The test statistic is:

t = (x1 - x2 - 0) / sqrt[(\(s1^2\)/n1) + (\(s2^2\)/n2)]

Where x1 is the sample mean number of job changes for British entrepreneurs,

x2 is the sample mean number of job changes for British corporate managers,

s1 is the sample standard deviation of job changes for British entrepreneurs,

s2 is the sample standard deviation of job changes for British corporate managers,

n1 is the sample size for British entrepreneurs and

n2 is the sample size for British corporate managers.

Substituting the given values, we get:

t = (1.91 - 0.21 - 0) / sqrt[(\(1.32^2\)/125) + (\(0.53^2\)/86)]

t = 5.46

Using a t-distribution table with degrees of freedom approximated by the smaller of n1 - 1 and n2 - 1.

The critical value for a one-tailed test at α = 0.05 is 1.66. Since our calculated t-value of 5.46 is greater than the critical value of 1.66, we reject the null hypothesis.

Therefore,

We have sufficient evidence to conclude that the mean number of job changes is higher for British entrepreneurs than for British corporate managers at a significance level of 0.05.

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Answer:

see below

Step-by-step explanation:

Question 1: D

Question 2: A

Question 3: B

Question 4: B

Question 5: C

Question 6: D

Question 7: A

Question 8: D

Answer:

isosceles triangle

Answer:

sorry i coldent find the anser

Step-by-step explanation:

ello

+v+

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

The truth value of proposition 2a, [(x ⊃ a) • (b ⊃ ∼ y)] ⊃ [(b ∨ y) • (a ⊃ x)], given that a and b are true and x and y are false, is TRUE.

In the provided scenario where a and b are true while x and y are false, proposition 2a, [(x ⊃ a) • (b ⊃ ∼ y)] ⊃ [(b ∨ y) • (a ⊃ x)], is evaluated to be true. Let's break it down to understand why.

The proposition is in the form of an implication (⊃), where the antecedent is [(x ⊃ a) • (b ⊃ ∼ y)] and the consequent is [(b ∨ y) • (a ⊃ x)]. To determine the true value, we need to examine both the antecedent and the consequent.

In the antecedent, we have two conditions connected by a conjunction (∧): (x ⊃ a) and (b ⊃ ∼ y). Since x and y are false, the condition (x ⊃ a) is vacuously true because false implies anything. Similarly, (b ⊃ ∼ y) is also true because b is true, and ∼ y (not y) is true since y is false. Therefore, the antecedent is true.

Moving on to the consequent, we have two conditions connected by a conjunction (∧): (b ∨ y) and (a ⊃ x). In this case, b is true, so (b ∨ y) is true regardless of the truth value of y. Additionally, a is true, and since x is false, (a ⊃ x) is false. Therefore, the consequence is false.

Now, when we evaluate the entire proposition, [(x ⊃ a) • (b ⊃ ∼ y)] ⊃ [(b ∨ y) • (a ⊃ x)], we find that a true antecedent implies a false consequent, which results in a true overall proposition. Hence, the truth value of proposition 2a is TRUE in the given scenario.

In conclusion, proposition 2a holds true when a and b are true, and x and y are false. Understanding the evaluation of logical propositions like these can help in reasoning and problem-solving tasks.

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Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

\(\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}\)

\(\text{Probability}=\dfrac{2}{7}\)

Therefore, the probability of picking an N is \(\dfrac{2}{7}\).