question is in photo

Answer:ok I will

Step-by-step explanation:

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

The limit as x approaches negative infinity of the function (9x^6 + x) / (3x^3) is equal to 3.

To determine the limit of the given function, we can analyze the highest power of x in the numerator and denominator.

For the numerator, the highest power of x is 6, and for the denominator, the highest power of x is 3. Since the degree of the denominator is greater than the degree of the numerator, as x approaches negative infinity, the term with the highest power of x dominates the behavior of the function.

Thus, we can simplify the expression by dividing both the numerator and denominator by the highest power of x, which is x^3: lim(x→-∞) (9x^6 + x) / (3x^3) = lim(x→-∞) (9 + 1/x^5) / 3

As x approaches negative infinity, 1/x^5 approaches zero since the denominator becomes increasingly large.

Therefore, the limit simplifies to: lim(x→-∞) (9 + 1/x^5) / 3 = (9 + 0) / 3 = 9/3 = 3. Hence, the limit of the function as x approaches negative infinity is 3.

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Answer:

308 beef tacos

Step-by-step explanation:

Let chicken tacos = c

Let beef tacos = 3c

Let fish tacos = c + 50

945 = c + 3c + c + 50

Simplify to 945 = 5c + 50

Subtract 50 on both sides and divide 5 to get

chicken tacos = 179

Plug in 179 to beef tacos to get 179*3 = 537

Plug in 179 to fish tacos to get 179 + 50 = 229

Subtract 537-229 to get how many more beef tacos than fish tacos, and so the answer is 308 beef tacos

The explicit formula for the sequence 2, 8, 14 is an = 6n - 4, where n is the position of the term in the sequence.

To find the explicit formula for a sequence, we need to look for a pattern that relates each term to its position in the sequence. In this case, we can observe that each term is obtained by adding 6 to the previous term. Thus, the formula for the nth term can be written as:

an = a(n-1) + 6

where a1 = 2. Substituting this formula recursively, we get:

a2 = a1 + 6 = 2 + 6 = 8

a3 = a2 + 6 = 8 + 6 = 14

and so on.

Simplifying the formula, we get:

an = a1 + 6(n-1) = 2 + 6n - 6 = 6n - 4

Therefore, the explicit formula for the sequence 2, 8, 14 is an = 6n - 4.

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it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

In statistics, the normal distribution or Gaussian distribution is a continuous probability distribution that is commonly used to approximate the distribution of many random variables. One of the main applications of the normal distribution is to model the sampling distribution of the sample mean. However, the accuracy of the normal approximation depends on the sample size.

To determine the smallest sample size that would be reasonable to use the normal model as an approximation for the sampling distribution, we need to look at the histograms of the data. If the histograms are approximately bell-shaped and symmetric, the normal model is likely to be a good approximation.

In this case, it is stated that the normal model would be reasonable to use for a sample size of at least 75. This means that if the sample size is 75 or larger and the histogram is approximately bell-shaped and symmetric, we can use the normal model to approximate the sampling distribution of the sample mean.

Regarding the Success/Failure Condition, it is a condition that applies when we are using the normal model to approximate the sampling distribution of a proportion. The condition states that if np and n(1-p) are both at least 10, where n is the sample size and p is the probability of success, then we can use the normal model to approximate the sampling distribution of the proportion.

However, in this case, it is not clear whether the data is related to proportions or not. Therefore, the statement that "the Success/Failure Condition is satisfied for sample sizes of at least 75" may not be applicable in this context.

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Answer:

12.5% decrease

Step-by-step explanation:

[(V2 - V1)  /  V1] x 100 = Percent Change

Answer:

x = 3y + 1

Step-by-step explanation:

0-(-1) = 1

1-0 = 1

2-1 = 1

1-(-2) = 3

4-1 = 3

7-4 = 3

As x increases by 1, y increases by 3. At x = 0, y is already 1. Thus:

x = 3y + 1

Answer:

Slope-intercept Form:  \(y = 3x + 1\)

Standard Form:  \(9x -3y = -3\)

Point-slope Form:  \(y -7 = 3(x - 2)\)

Step-by-step explanation:

Answer:

2nd equation

Step-by-step explaination:

1st. -7≠-2(3)

2nd. Sastifies all

3rd. -10≠-3(4)

4th. -4≠-2(2)-3

Answer:

y=10 when x=7

Step-by-step explanation:

y=2x-4

y=10

Substitute y with "10": 10=2x-4

Add 4 on both sides: 14=2x

x=7

Answer:

substitute 10 for y in the equation y=2x-4

10=2x-4

2x=10+4

2x=6

divide both side by 2

x=3

Answer:

f(x) = Ca^x

x = years since 2000.

f(0) = 220000 = Ca^0 = C

f(x) = 220000a^x

f(1) = 220000(1-0.11) = 220000a^1

a = 0.89

f(x) = 220000(0.89)^x

So each year reduces by 89%

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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Without specific data on the number of students who prefer each option, we cannot calculate the probability.

To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.

To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:

P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1

However, without specific data on the number of students who prefer each option, we cannot calculate the probability.

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Answer:

\(5\times10^3\)

Step-by-step explanation:

\(3.55\times10^6 \div 7.1 \times 10^2\)

Exponents are positive:

\(3.5.5.0.0.0.0. = 3550000\)

\(7.1.0.=710\)

\(3550000 \div 710 = 5000\)

Convert back into scientific notation:

\(5000 = 5 \times 10^3\)

\(= 5 \times10^3\)

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

A diaper manufacturing company wanted to investigate how the price of their machine depreciates with age. An audit department of company took a sample of eight machines and collected information on their ages.

1 8 550

2 3 910

3 6 740

4 9 350

5 2 1300

6 5 780

7 4 870

8 7 410

(i) Determine the least square regression equation that can be used to estimate the prices of the machine on the age of the machine. (ii) Find the correlation of coefficient and comment on the strength of correlation that exists between the two variables. Comment on your answer. (iii) Calculate the coefficient of determination of the data above and comment on your answer. (iv) Estimate the price of the machine at the age of 3.5 years. ( 2 marks)

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Answer:

UP=78

Step-by-step explanation:

TP=TU+UP

103=2x+3+6x+12

103=8x+15

103-15=8x

8x=88

x=11

UP=6x+12

UP=6(11)+12

UP=66+12

UP=78

Answer:

UP = 78

Step-by-step explanation:

TU + UP = TP, substitute values

2x + 3 + 6x + 12 = 103, that is

8x + 15 = 103 ( subtract 15 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

UP = 6x + 12 = 6(11) + 12 = 66 + 12 = 78

Answer: Hoops Haven

Step-by-step explanation:

Answer:

No it is not a rational number. A rational number consists of decimal on it

To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

f(x) = (x - 2)(x + 1)(x - 3)(2x - 4)

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

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Answer:

If you overshare online your talking to strangers who can learn more about you

Step-by-step explanation:

Another danger is that they can find out more about you and try to kidnap you

Answer:

See explanation.

Step-by-step explanation:

1.

Someone can steal your information.

2.

They can pretend to be you, if your info is stolen.

3.

They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.

hope this helps.

The correct option is; A. Approximately normal because n ≤ 0.05N and np(1 - p) < 10, best describes the shape of the sampling distribution of p.What is sampling distribution?The distribution of the values of the statistic that comes from the random sampling of the population is called the sampling distribution.

For instance, the proportion of people who purchase a particular product, the mean weight of people belonging to a specific group, the difference between two population means, and so on are all statistics.

σp = √[pq/n]where:p is the population proportion (of a particular characteristic)q is 1-pn is the sample size

Therefore, here is the sampling distribution of p for the given values of n, p, and N(15000).Here,

N=15000np=600 × 0.7

= 420 (i.e., the mean of the distribution)

q=0.3

n=600

Now we can check the normality of the distribution using the following criteria:n ≤ 0.05N and np(1 - p) < 10n = 600,

N = 15000n/N

= 600/15000

= 0.04 (≤0.05)np(1 - p)

= 420(0.3)

= 126 (≤10)

Therefore, the shape of the sampling distribution of p is approximately normal because n ≤ 0.05N and np(1 - p) < 10.

The correct option is A.

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Answer: one hundred + fourteen point six hundred + seventy four

Step-by-step explanation:

Answer:

One hundred and fourteen point six seven four

Hexadecimal and binary are two numbering systems that are commonly used in computing. Binary is a base-2 numbering system, which means it uses only two digits, 0 and 1, to represent all numbers. Hexadecimal, on the other hand, is a base-16 numbering system, which means it uses 16 digits, from 0 to 9 and A to F, to represent numbers.

One hexadecimal digit can represent 16 different values, while one binary digit can represent only two values (0 or 1). This means that one hexadecimal digit can represent 16 times as many values as one binary digit.

To understand this better, let's consider an example. The binary number 1111 is equivalent to the hexadecimal number F. In binary, 1111 can represent only one value, which is 15 in decimal. However, in hexadecimal, the digit F can represent 16 different values, from 0 to 15 in decimal.

Therefore, using hexadecimal notation can be more efficient and compact than using binary notation, especially when dealing with large numbers. In addition, hexadecimal is often used in computing to represent memory addresses, color codes, and other values that need to be represented in a compact and easily readable format.

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Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

correct on edmentum or plato

The average value of the function f(x) over the interval (2, 20) is approximately -\((π/2) (sin(π/20) + sin(π/2)).\)

To find the average value of the function f(x) = (9π/x^2)(cos(π/x)) on the interval (2, 20), we need to evaluate the definite integral of the function over that interval and then divide it by the length of the interval.

The average value of a function f(x) over the interval [a, b] is given by the formula:

Average value = \((1 / (b - a)) * ∫[a, b] f(x) dx\)

In this case, the interval is (2, 20), so a = 2 and b = 20.

Let's calculate the integral first:

\(∫[2, 20] (9π/x^2)(cos(π/x)) dx\)

To simplify the integral, we can rewrite it as:

\((9π) ∫[2, 20] (1/x^2)(cos(π/x)) dx\)

Now, we can evaluate this integral using standard integration techniques. Let's perform the integration:

\((9π) ∫[2, 20] (1/x^2)(cos(π/x)) dx = - (9π) (sin(π/x)) evaluated from x = 2 to x = 20\)

Evaluating at the limits, we have:

\(= - (9π) (sin(π/20)) - (- (9π) (sin(π/2))) = - (9π) (sin(π/20) + sin(π/2))\\\)

Now, we can calculate the length of the interval:

Length of interval = b - a = 20 - 2 = 18

Finally, we can compute the average value by dividing the integral by the length of the interval:

Average value = (1 / (20 - 2)) * - (9π) (sin(π/20) + sin(π/2))

Simplifying further, we have:

Average value = \(- (9π/18) (sin(π/20) + sin(π/2))\)

Therefore, the average value of the function f(x) over the interval (2, 20) is approximately - (π/2) (sin(π/20) + sin(π/2)).

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Answer:

10: -11n^5

12: 6k^2 -6k+7

Step-by-step explanation:

Ok so what your gonna do is add or subtract the ones with the same exponent.

so -15+4= -11 since they are both n^5 you can add them so your answer is:

-11n^2

now you have 8k^2-k-5k+7-2k. so you are gonna rearrange them so the same exponents are together.(keep the sign in front in front, if no sign it is positive)

8k^2-2k^2-5k-k+7

add like exponents

6k^2-6k+7