Find the value of the expression below if x = 6 and y = 7*xy + 3

Answer:

11/12

Step-by-step explanation:

ig not sure

Answer:

\(y=-45\)

Step-by-step explanation:

\(\frac{y}{9}+5=0\)

\(\frac{y}{9}=-5\)

\(y=-45\)

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Answer:

Step-by-step explanation:

Now we know that

sec²θ -tan² θ= 1 ,

So tan²θ =sec²θ - 1

So the left of the given equation will be

sec²20 + sec²40 +sec²80 - 3

So

1/cos²20+1/cos²49+1/cos²80 -3

Remember sec θ= 1/cosθ

So

= since secθ = 1/cosθ

we have

= 1.1324 + 1.7040 + 33.1634 - 3

= 35.9998 - 3

= 33

Answer:

$3

Step-by-step explanation:

5+6e = 23

6e = 23-5

6e = 18

e = 18÷6 = 3

Answer:

Step-by-step explanation:

6e + 5 = 23

6e = 18

e = $3 for each eraser

We know that cos(45) = sin(45) = √2/2.

Substituting these values, we can simplify the expression as follows:

4cos(45) - 2sin(45)

= 4(√2/2) - 2(√2/2) (substituting cos(45) and sin(45) values)

= 2√2 - √2

= √2

Therefore, the answer is √2.

Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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Therefore, the probability of getting exactly 6 successes in 19 trials with a probability of success of 0.4 is approximately 0.1295, rounded to four decimal places.

Probability theory is a branch of mathematics that focuses on calculating the probability that a claim is accurate or a certain event will occur. Chance can be represented by any integer between 0 and 1, where 1 typically denotes certainty and 0 typically denotes possibility. A probability diagram shows the chance that a specific event will occur. .

Here,

The formula for the mass function of the probability function of both the binomial distribution can be used to calculate P(X=6) for a probability density with n = 19 trials and a chance of success of p = 0.4:

P(X = k) is equal to (n pick k) * pk * (1 - p) (n-k)

the binary coefficient, that may be computed as follows:

(n pick k) = n / (k! * (n-k)!)

where the factorial function is indicated by "!"

When we enter the specified numbers into in the formula, we obtain:

P(X=6) = (19 select 6) (19 choose 6) * (0.4)^6 * (1 - 0.4)^(19-6) (19-6)

We can calculate this expression with a machine or software to get:

P(X=6) ≈ 0.1295

So, rounded to four digits, the probability of obtaining 3 to 6 triumphs in 19 attempts with a success rate of 0.4 is roughly 0.1295.

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The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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a. 20.31% of New York's high school teachers earn between 83,000 and 88,000

b.  18.49% of New York teachers earn between 88,000 and 103,000

c. 1.19%  of New York’s state high school teachers earn less than 73,000

Given,

The salary for high school teachers in 2017 = 97010

Standard deviation = 9540

Consider salaries as normal distribution.

Here,

Mean, μ = 97010, Standard deviation, σ = 9540

a. Percentage of New York's high school teachers earn between 83,000 and 88,000

The proportion is the p-value of Z when X = 88,000 subtracted by the p-value of Z when X = 83,000.

That is,

X = 88,000

Z = (X - μ) / σ = (88,000 - 97010) / 9540 = -9010/9540 = -0.944

The p value of z score - 0.944 is 0.3452

Next,

X = 83,000

Z = (X - μ) / σ = (83,000 - 97010) / 9540 = -14010/9540 = -1.468

The p value of z score - 1.468 is 0.1421

Then,

0.3452 - 0.1421 = 0.2031 = 20.31%

That is,

20.31% of New York's high school teachers earn between 83,000 and 88,000

b. Percentage of New York teachers earn between 88,000 and 103,000

The proportion is the p-value of Z when X = 103,000 subtracted by the p-value of Z when X = 88,000

X = 103,000

Z = (X - μ) / σ = (103,000 - 97010) / 9540 = 5990/9540 = 0.6279

The p value of z score 0.6279 is 0.5301

Next,

X = 88,000

Z = (X - μ) / σ = (88,000 - 97010) / 9540 = -9010/9540 = -0.944

The p value of z score - 0.944 is 0.3452

Then,

0.5301 - 0.3452 = 0.1849 = 18.49%

That is,

18.49% of New York teachers earn between 88,000 and 103,000

c.  Percentage of new York’s state high school teachers earn less than 73,000

The proportion is the p-value of Z when X = 73000

X = 73,000

Z = (X - μ) / σ = (73,000 - 97010) / 9540 = -24010/9540 = -2.516

The p value of z score - 2.516 is 0.0119

That is,

1.19%  of New York’s state high school teachers earn less than 73,000

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

65 I think, I hope I'm right :)

Step-by-step explanation:

Well we know that x+(180-(3x-70))=120 so x=65

The value of m ∠JLK will be;

⇒ x = 65°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle JKL is shown in figure.

Now,

Since, The value of m ∠JLK = x°

And, The value of m ∠KJL = 60°

And, The value of m ∠LKM = (3x - 70)°

We know that;

In triangle,

⇒ m ∠KJL + m ∠JLK = m ∠MKL

Substitute all the values, we get;

⇒ 60 + x = (3x - 70)

Solve for x as;

⇒ 60 + x = 3x - 70

⇒ 60 + 70 = 3x - x

⇒ 2x = 130

⇒ x = 65

Thus, The value of m ∠JLK = 65°

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Answer:

0

Step-by-step explanation:

n0t 0

Answer:

All options are wrong.................

2/3 I hope this helps!! :3

Answer:

43.68

Step-by-step explanation:

28÷500=0.056

0.056×780=43.68

hope it helps please mark brainlist

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

To answer this question, we can proceed as follows:

1. We have that the after-tax total was $1,253.07.

2. We have that the tax rate in the area is 7.1%.

3. Then to find the pre-tax subtotal, we can proceed as follows:

Therefore, we have:

4. Finally, we need to add the like terms as follows:

And using technology, we can divide both sides by 1.071:

Therefore, the pre-tax subtotal is $1,170.

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

8x-6y

when x=5 and y=4

=8(5)-6(4)

=40-24

=16

Answer:

Angle 1 = Angle 2 = 5y -23            (Vertically opposite)

We can see that we have a triangle in the figure

Since the sum of all angles of a triangle is 180,

(2x + 13) + (47) + (5y -23) = 180

2x + 5y + 37 = 180

2x + 5y = 143

5y = 143 -2x -----------------(1)

Assuming l and m to be parallel

angle 1  = 3x (corresponding angles)

5y - 23 = 3x

From equation (1)

143 -2x - 23 = 3x

120 = 5x

x = 24 ---------------------- (2)

Using (2) in (1)

5y = 143 - 2(24)

5y = 143 - 48

5y = 95

y = 19

Therefore,

x = 24

y = 19

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The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

First of all, remember that translation is a transformation which doesn't imply a change of size or shape, that is, the image will be congruent to its image.

Having said that, the complete paragraph would be

When a figure is translated its orientation remains the same and the measurements of its angles remain the same.

The orientation doesn't change because it's defined as the position of points of the figure, these points change its position where we rotate the figure, which is not the case here.

Answer:

b b b b

the answer is b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

18n+9 i think

Step-by-step explanation:

Answer:

\((0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\), that is, option C

Step-by-step explanation:

From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.

This means that the proportions are:

\(p_C = \frac{34}{200} = 0.17\)

\(p_K = \frac{54}{200} = 0.27\)

Subtraction of proportions:

In the confidence interval, we subtract the proportions. So:

\(p = p_C - p_K = 0.17 - 0.27\)

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Standard error:

For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:

\(\sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

So the confidence interval is:

\((0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}\), that is, option C

The Casey's rectangular array that is 1,167 units long and 7 units wide has an area of  

The formula for the area of a rectangle is the product of length and wide. This is written mathematically as

= length * wideness

In the problem the rectangular array made by Casey has a the following dimensions

length = 1167 units

wide = 7 units

Area of rectangle = length * wideness

substituting the values

Area of rectangle = 1167 * 7

Area of rectangle = 8169 square units

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