How would you classify the number 89?A. the number is neither a perfect square nor a perfect cubeB. the number is a perfect squareC. the number is both a perfect square and a perfect cube

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

Angle ABC,

Step-by-step explanation:

Please give more detail to your question, this doesn't help at all...

The state income tax owed on a $40,000 per year salary is $1,500.

We have,

To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.

Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.

The amount of income that falls within this range.

= $40,000 - $10,000

= $30,000.

So we can calculate the tax owed on this income as:

tax = 5% x $30,000

= 5/100 x 30,000

= $1,500

Therefore,

The state income tax owed on a $40,000 per year salary is $1,500.

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Answer: 1,800

Step-by-step explanation:

Answer:

it's almost 12 years

Step-by-step explanation:

Answer:

Your answer would be 12 years!

Hope this helps!

Answer:

$6.39

Step-by-step explanation  

well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39

Answer:

25.56

Step-by-step explanation:

30 divided by 4 is 6 so 30- 6=24

6.5% of 24=1.56 sooooo           24+1.56=25.56

Answer:

image c is formed by reflection of the letter w

Answer:

130.5 cm²

Step-by-step explanation:

1) total length = 60 cm

Divided in ratio 7 : 3,  it's like it was divided on 7+3=10 pieces, and then were taken 7 pieces and 3 pieces.

60: 10 = 6 cm

6*7 = 42 cm big piece

6*3= 18 cm small piece

2) It was made squares.

A square  has 4 equal sides, so

42 : 4 = 10.5 cm is a side of the large square,

18: 4 = 4.5 cm is a side of the small square

3) Area of the square = side²

Area of the large square = (10.5)² = 110.25 cm²

Area of the small square = (4.5)² = 20.25 cm²

4) Total area of both squares

110.25 + 20.25 = 130.5 cm²

Answer:

nearest ten thousand – 2,620,000

nearest hundred thousand – Two million, six hundred thousand

Step-by-step explanation:

hope this helps.

Answer:

(P - 8) / 5

I'm not sure exactly what you're asking for here, but I assume you want an equation that matches the statement. Hope this helps! :)

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

\(\boxed {\boxed {\sf A.\ r=0.17454}}\)

Step-by-step explanation:

The correlation coefficient helps us understand the relationship between variables.

A positive correlation is a positive number. A negative correlation is a negative number.

We can automatically eliminate choices B and D because they are negative, but we are looking for a positive correlation.

A number closer to 1 indicates a strong correlation. If the number is closer to 0, it's weak.

The two choices left are:

C is very close to 1, so it's a strong correlation.

We want to find the weak one, which must be A because it is closer to 0.

90% confidence interval is 82.11 < μ < 93.89

"Information available from the question"

The complete question is this:

The managers of a company are worried about the morale of their employees. In order to determine whether a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.

Due to financial limitations, the managers decide to take a sample of 45 employees. This yields a mean score of 88 points. What is the 90% confidence interval?

Now, According to the question:

We have :

The confidence level = 0.90

The significance level, \(\alpha\) = 0.10

The sample mean, x = 88

The population standard deviation, σ = 24

The sample size, n = 45

Critical value of z using the z - distribution table:

z(critical) = \(z_\alpha\) /2

               =  \(z_0_._0_5\)

               = ±1.645

90% confidence interval:

μ = x ± z. σ/\(\sqrt{n}\)

μ = 88 ± 1.645 x 24 / \(\sqrt{45}\)

μ = 88 ± 5.89

82.11 < μ < 93.89

Hence, 90% confidence interval is 82.11 < μ < 93.89

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Answer:

\(x < 3\)

Step-by-step explanation:

hope this helps

Answer:

If y=−3,

then

4y/4+y

=4×(-3)/4+(-3)

= -12/1

= -12 ,,

The option C is correct.

In the given statement is:

Solve the inequality for x and identify the graph of its solution.

|x+2|<2

Here, The question is :

|x+2|<2

The modulus sign means that the absolute value of x + 2 is less than 2. This means that

-2 < x + 2 < 2

This is what is called double inequality. We must treat it as two separate inequalities.

From the left we get -2 < x + 2 and by subtract 2  to both sides we obtain

-4 < x.

On the right we have x + 2 < 2 , and by subtract 2 to both sides we get,

x < 0

We can write these solutions together as :

-4 < x < 0

and this range of values of x is illustrated on the number line see the image :

Hence, The option C is correct.

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The distance in miles between the two electric scooters travelling in opposite direction is 2 miles.

An equation is a formula that proves the equality of two mathematical expressions in algebra and is the most commonly used formula. For example, in the expression 3x + 5 = 14 the two terms 3x + 5 and 14 are separated by the "equals" symbol.

What is distance?

The length or width in between two objects, points, lines, etc. Distance is the condition or fact that something or someone is physically apart.

Given 4x - 4 = 2x,

so 2x = 4

x = 2

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Answer:

hw correct option based on the information given about the parabola will be B. X.

How to explain the parabola

The observed parabola has its vertex situated at (0, 0), declining until (0, 0) then again rising. Its equation falls in the form of f(x) = a(x - 0)² + 0, which simplifies to ax².

In order to detect the value of 'a' we can utilize any point on the parabola itself. Let's take (1, 1):

1 = a(1)²

1 = a

Therefore, the formula for the presented parabola is exsiting in the form of f(x) = x².

Now consider g(x) = (x + 1)² such that it's merely a horizontal movement of function f(x) = x². The vertex of g(x) stands at (-1, 0) and linearly declines until (-1, 1) prior to onching higher again. All this leaves us with option X as the only conceivable graph for g(x).

Therefore, the answer is B) X.

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The binomial that is a factor of the polynomial is (x-2).

STEP - BY - STEP EXPLANATION

What to find?

The binomial that is a factor of the polynomial.

Given:

P(x) =3x³ - 11x² -2x + 24

The factor can be determine by simply finding the zeros of the polynomial.

The zeros of a polynomial when substituted into the polynomial makes it zero.

From the given option, we shall test to see which makes the polynomial zero.

Substitute x=2 into the given polynomial and simplify.

That is;

p(3) = 3(2)³ - 11(2)² -2(2)+ 24

=3(8) - 11(4) - 2(2) + 24

=24 - 44 - 4 + 24

=0

Hence, p(x) = 0 when x=2.

This implies x-2 is a factor of the polynomial.

Since x=2 is the only digit among the option that makes p(x) =0, then (x-2) is the only binomial that is a factor among the options given.

Answer:

need a pohot

Step-by-step explanation:

Hope it's help

Answer:

y = 2

Step-by-step explanation:

This equation can be solved three steps, classifying it as a multi-step equation.

To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.

3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.

y + 2 = 4 Subtract 2 from both sides of the equation.

y = 2

Answer:

i belive its d or c

Step-by-step explanation:

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Missing Information

Suppose the officials conducted a survey for 4 days to determine the actual number of families residing in the barangay and the secretary constructed a tableto keep track of the data.

Day 0:

Number of families: 850

Amount of relief each family will receive: 520

Answer:

f(x) = 442000/x

Step-by-step explanation:

Given

The data in the above table

Required

Determine a model or equation

First, we need to determine the amount of relief for all families.

Using data in day 0.

Total Amount = 850 * 520

Total Amount = 442000

Next, we determine the function of equation.

Let the number of families he represented by x

The function or equation is gotten by dividing the total amount by the number of families.

Hence:

f(x) = Total Amount ÷ x

Substitute values for total amount and x

f(x) = 442000/x

Hence, the model that satisfies the given information is:

f(x) = 442000/x

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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1. b=117°

2.c=67°

have an amazing day <3

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

This is the simplified form of the expression\((11x^11 - √(64) x 14x^14x14).\)

To simplify the expression \((11x^11 - √(64) x 14x^14x14)\), let's break it down step by step:

First, let's simplify the square root of 64, which is equal to 8:

\((11x^11 - 8 x 14x^14x14)\)

Next, let's multiply the terms inside the parentheses:

\((11x^11 - 8 x 2744x^14)\)

Now, let's simplify further by multiplying the constants:

\((11x^11 - 21952x^14)\)

In this simplified form, we have subtracted 21952x^14 from 11x^11. The exponents on x are different for the two terms, so we cannot combine them further.

It's important to note that without specific values assigned to x, we cannot simplify the expression any further or provide a numerical answer. The expression remains in terms of x with different exponents for the terms.

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