If 72 = 7 * 7 = 49, then 8² -

Answer: 12 x 8

Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.

Expanding the product gives

(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i

so a = 17.

Answer:

A. The bag weights for brand A have less variability than the bag weights for brand B.

Step-by-step explanation:

In a box plot display, measure of variability can be determined by the length of the rectangular box or/and by the length of the whiskers.

The longer or greater the length, the more the variability the data set has. The shorter or smaller the length, the lesser the variability.

The box plot display of Brand A has shorter rectangular box and a shorter whisker length compared to the box plot display of Brand B. Therefore, it can be concluded that: bag weights for Brand A have less variability compared to bag weights for Brand B.

The correct statement of comparison is:

"A. The bag weights for brand A have less variability than the bag weights for brand B."

Option B is incorrect. Bag weights for Brand A do not have more variability than those of Brand B.

Option C and option D are both incorrect. Neither an outlier nor range can be used to represent or describe "typical value" for a given data set.

Typical bag weights can be well represented or described by average bag weights or median weight of the data set.

Answer:

The answer is A.

Step-by-step explanation:

Answer:

The difference between the 2 possible lengths is 3.2 inches.

Step-by-step explanation:

Answer:

8m=10m

Step-by-step explanation:

Diane plans to arrive at 7:30 A.M.

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

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Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

It is D.

Step-by-step explanation:

proof I just took it

The answer to the given equation question is Option C - 2

A square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 4^2 = (−4)^2 = 16.

Given : \(\frac{\sqrt{2x} }{\sqrt{x-1} }\) = 2

On taking square roots on both sides we get :

=>  \(\frac{2x}{x-1}\) = 2

On cross multiplying

=> 2x = 2x - 2

After the calculations we get the solution as 2

Thus the correct answer is option c - 2 .

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Answer:

4 units right, 2 units up

Step-by-step explanation:

For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).

Answer:

$3.30

Explanation:

15/100 = 0.15

22*0.15 = 3.3

Answer:

Hi! The answer to your question is D. \(3.30\)

Step-by-step explanation:

\(Price = 22\)

\(Discount = 0.15\)

\(22 * 0.15 = 3.3\)

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Hope this helps!!

- Brooklynn Deka

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

I'm assuming you meant to write y = 3x-4

We know that the y-intercept of the given line is (0,-4), so we need to find the equation of the line passing through (-2,5) and (0,-4).

The slope is

\(\frac{-4-5}{0-(-2)}=-\frac{9}{2}\)

So, this means the equation is \(\boxed{y=-\frac{9}{2}x-4}\)

Answer:

1383g

Step-by-step explanation:

1.5kg equals 1500g

1500g - 117g = 1383g

Answer:

1383 grams

Step-by-step explanation:

Shara began with a 1.5 kg container of flour equal to 1500 grams.

She removes 117 grams from the container.

Therfore 1500grams - 117grams = 1383 grams

Hence Shara has 1383 grams of flour in her bag (1.38) KG.

Answer:

idk

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32F = [ C × (9/5) + 32 ] Given that, C = 25F = 25 × (9/5) + 32F = 45 + 32F = 77Thus, 25° C is equivalent to 77° F.

Answer: False.

Step-by-step explanation:

False. Negative numbers have imaginary roots, represented by \(i\).

For instance, the square root of negative 36 would be 6i.

Answer:

5.14 and 18.86

Step-by-step explanation:

They give us the following information:

mean (m) = 12

standard deviation (sd) = 3.5

For cutting extreme 5% under the normal distribution curve standard normal score is + - 1.96

we have to:

z = (x - m) / sd

Lower limit is

-1.96 = (x -12) /3.5

-6.86 = x - 12

x = 5.14

Upper limit is

1.96 = (x -12) /3.5

6.86 = x - 12

x = 18.86

Therefore, the raw scores are 5.14 and 18.86

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Using the normal distribution, we have that:

a) The 80th percentile of small package weights at Company #1 is of 3.3 pounds.

b) 0.0122 = 1.22% of small packages at this shipping company require additional fees.

c) Due to the higher z-score, the 8.1 pound package at Company A is heavier relative to items shipped at the same company.

d) |Z| > 2, thus, it is an outlier.

Normal Probability Distribution

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Item a:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.84 = \frac{X - 2.3}{1.2}\)

\(X - 2.3 = 0.84(1.2)\)

\(X = 3.3\)

The 80th percentile of small package weights at Company #1 is of 3.3 pounds.

Item b:

This proportion is 1 subtracted by the p-value of Z when X = 5, thus:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{5 - 2.3}{1.2}\)

\(Z = 2.25\)

\(Z = 2.25\) has a p-value of 0.9878.

1 - 0.9878 = 0.0122.

0.0122 = 1.22% of small packages at this shipping company require additional fees.

Item c:

The z-score for an 8.1 pound package at Company A is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{8.1 - 2.3}{1.2}\)

\(Z = 4.83\)

For Company 2, we have \(\mu = 266, \sigma = 10.7\).

For a 265 pound package, the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{265 - 266}{10.7}\)

\(Z = -0.09\)

Due to the higher z-score, the 8.1 pound package at Company A is heavier relative to items shipped at the same company.

Item d:

295 pounds, so \(X = 295\), and the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{295 - 266}{10.7}\)

\(Z = 2.71\)

|Z| > 2, thus, it is an outlier.

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Answer:

89

Step-by-step explanation:

178/2=89

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation: