Is 23 a prime number Why or why not?

The conversion of mass unit lbs, 163 lbs to other mass unit kilogram is equals to the 73.93555631 kg.

Kilogram (kg) and pound (lbs) are used to measure the mass of the substance/objects. Kilogram is used for mass in the International System of Units, whereas pound is used in the imperial and US customary systems. To convert lbs to kg, multiply the particular lbs value by 0.45359237 kg. For example, to convert x lbs to kilogram, multiply the x lbs by 0.45359237 kg. So,x lbs = x × 0.45359237 kg

x lbs = 0.45359237x kg, if x = 6

Therefore, 6 lbs is approximately equal to 2.72155422 kg. It is very important skill to convert the lbs to kilograms in mass measurment. Now, we have 163 lbs. We know that one lbs = 0.45359237 kg

Therefore, 163 lbs = 163 x 0.45359237 kg

163 lbs = 73.93555631 kg.

Hence, 163 lbs is equal to 73.93555631 kg.

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An inverse function is defined as a function, which can reverse into another function.

I'm not sure if this is right I can't exactly remember

Answer:

D

Step-by-step explanation:

Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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The scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

Length is a measure of dis dancer size it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept mathematics science engineering and many others build it is used to calculate the dimensions of this area and more it is also used to measure the time it takes to travel A certain distance link this and important concept that is used to measure and compare objects.

To answer this question, we can use the ratio of the length of the cafeteria in the scale drawing compared to the actual length of the cafeteria. The ratio is 11 inches : 88 feet. We can simplify this ratio to 1 inch : 8 feet. Therefore, the scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

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The correct answer is (c) x's tens digit. , if x = 693, that  yield  9 is (x / 10) % 10

Here's how we have to evaluate the expression:

Substitute x = 693 into the expression to get:

(693 / 10) % 10

Perform the division first:

693 / 10 = 69 with a remainder of 3.

Substitute the result of the division into the expression:

(69 % 10)

To Evaluate the remainder use the modulo operator (%):

69 % 10 = 9

The result, 9, is the tens digit of 693.

=(x / 10) % 10.

The tens digit of a number refers to the digit in the second place from the right, or the digit that represents the multiple of 10. For example, in the number 365, the tens digit is 6 because it represents 6 tens or 60.

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The amount invested in AAA - bonds is $5353, amount invested in

A - bonds is $1681 and amount invested in B - bonds is $3369. The solution has been obtained by using matrices.

What are matrices?

The term "matrix of order m by n," sometimes known as "m × n matrix," refers to a rectangular array of m × n numbers (real or complex), organised into m rows and n columns.

Such a range is bounded by [ ] or ( ).

We are given equations as

x + y + z = $10300

0.045x + 0.05y + 0.09z = $620

2y − z = 0

From this, we get the matrix as

[tex]\left[\begin{array}{ccc}1&1&1\\0.045&0.05&0.09\\0&2&-1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10300\\620\\0\end{array}\right][/tex]

This shows that AX = B

X = A⁻¹B

[tex]\left[\begin{array}{ccc}x\\y\\z\end{array}\right][/tex] [tex]= \left[\begin{array}{ccc}2.42&-31.57&-0.42\\-0.47&10.52&0.47\\-0.94&21.05&-0.05\end{array}\right][/tex]     [tex]\left[\begin{array}{ccc}10300\\620\\0\end{array}\right][/tex]

On solving this, we get

[tex]\left[\begin{array}{ccc}x\\y\\z\end{array}\right][/tex]    [tex]=\left[\begin{array}{ccc}5353\\1681\\3369\end{array}\right][/tex]

Hence, the amount invested in AAA - bonds is $5353, amount invested in A - bonds is $1681 and amount invested in B - bonds is $3369.

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The customer pays $0.72 for a filled balloon.

Let's denote the cost of the balloon and the helium as x.

According to the problem statement, we know that:

x + 80% of x = $0.50

We can simplify this equation by multiplying both sides by 1.8, which is the same as multiplying the right-hand side by 180%:

1.8x + 1.44x = $0.90

2.24x = $0.90

Dividing both sides by 2.24, we get:

x = $0.40

So the cost of the balloon and helium is $0.40.

The price that the customer pays for the balloon is the cost plus the markup, which is 80% of the cost:

Price = Cost + Markup

Price = $0.40 + 80% of $0.40

Price = $0.40 + $0.32

Price = $0.72

Therefore, the customer pays $0.72 for a filled balloon.

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Answer:

$0.90

Step-by-step explanation:

100%= $0.50

100%+80%= 180%

1%= $0.50/100

   = $0.005

180%= $0.005*180

        = $0.90

The conversion of 300 lbs to kg is 136.054 kg.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given,

Total units = 300 lbs

We have the conversion factor that,

1 kilogram = 2.205 pounds

Or,

2.205 pounds = 1 kilogram

1 pounds = 1 / 2.205 kg

lbs is same as pounds.

300 lbs = 300 × (1 / 2.205) kg

             = 136.054 kg

Hence the measurement of conversion of 300 lbs is 136.054 kg.

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After converting 1.77 meters to feet its value is equal to 5.8071 feet ( approximately ) .

Conversion of meters to feet we get,

1 meter is equal to 3.28084 feet

Substitute the value given meters to convert into feet.

Now convert 1.77 meters to feet

⇒ 1.77 meters =  ( 1.77 ) × ( 3.28084 ) feet

⇒ 1.77 meters =  5.8070868 feet

⇒ 1.77 meters =  5.8071 feet ( approximately )

Therefore, the conversion unit of 1.77 meters to feet is given by 5.8071 feet ( approximately ) .

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Option C. The transformation that does not preserve congruence is a dilation by a scale factor of 5.

Congruence is the property of having the same size and shape. In geometry, transformations are operations that change the position, size, or orientation of a figure. Some transformations, such as reflections, translations, and rotations, preserve congruence, meaning that the resulting figure is congruent to the original figure. Other transformations, such as dilations, do not preserve congruence, meaning that the resulting figure is not congruent to the original figure.

A dilation is a transformation that changes the size of a figure by stretching or compressing it. A dilation by a scale factor of 5 means that every point of the figure is multiplied by 5 with respect to a fixed point called the center of dilation. The resulting figure is similar to the original figure, but not necessarily congruent.

On the other hand, reflections, translations, and rotations preserve congruence. A reflection across the x-axis reflects the figure across the x-axis while preserving its shape and size. A translation 4 units up moves the figure up without changing its shape or size. A rotation 90° counter-clockwise rotates the figure 90 degrees counter-clockwise while preserving its shape and size.

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A transformation is applied to create a new figure. Which transformation does not preserve congruence?

A. A reflection across the x-axis

B. A translation 4 units up

C. A dilation by a scale factor of 5

D. A rotation 90° counter clockwise

Answer:

Arranging the temperature data in descending order, we get:

45, 44, 44, 43, 42, 42, 41, 40, 40, 40, 39, 38, 38, 37, 36

The range of a set of data is the difference between the highest and lowest values.

Here, the highest temperature is 45°C and the lowest temperature is 36°C. Therefore, the range is:

Range = highest value - lowest value = 45°C - 36°C = 9°C

So the range of the temperature data is 9°C.

The required converted value of the temperature Fahrenheit to Celsius for the value 115°F is given by 46.1111°C .  

To convert Fahrenheit to Celsius use the following formula we have:

( F − 32 ) × ( 5 / 9 ) = °C

Substitute the 115 Fahrenheit to convert into Celsius we get,

= ( 115°F − 32 ) × ( 5 / 9 )

= ( 83 )  × ( 5 / 9 )

= ( 415 / 9 )°C

= 46.1111 °C

Therefore, the converted unit of Fahrenheit to Celsius using standard relation between the two is equal to 46.1111°C .

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Answer: The function of graph 2 has a higher rate of change than the function of graph 2

Step-by-step explanation:

1. The division expression represents the average number of people per minute is (1.04 x 10⁶) / 25

2. The divisor in scientific notation is (2.5 x 10¹)

3. The rewritten expression is (1.04 x 10⁶) / (2.5 x 10¹)

4. The simplified expression is (1.04 x 10⁶) / (2.5 x 10¹)

5. The average number of people who entered Estadio Azteca per minute is 4.16 x 10⁴.

1. The division expression that represents the average number of people per minute is the total number of spectators who filled Estadio Azteca (1.04 x 10⁶)  divided by the amount of time it took them to enter (25 minutes). This expression can be written as

=> (1.04 x 10⁶) / 25

2. To express the divisor (25) in scientific notation, we would need to move the decimal point three places to the left, giving us

=> (2.5 x 10¹)

3. Rewriting the division expression from Exercise 1 with the divisor expressed in scientific notation, we get

=> (1.04 x 10⁶) / (2.5 x 10¹)

4. We can use the Associative Property to regroup the expression as

=> (1.04 x 10⁶) / (2.5 x 10¹)

=>  4.16 x 10⁴.

5. In scientific notation, the average number of people who entered Estadio Azteca per minute was 4.16 x 10⁴.

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Answer: Really?

Step-by-step explanation:

Since there appear to be no outlier in the data set, and since the mean is close to the median, the range can be considered best to describe the variability in the quiz scores

The dataset is given as

87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100

There are no outliers in the dataset

This means that the measure of variability to use is the range

Also, it means that the median and the mean are close to one another

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Answer:

Estimate: 22,400

Actual Product: 21,828

Step-by-step explanation:

To estimate the product of 68 and 321 by rounding to the nearest ten, you can round 68 to 70 and round 321 to 320. Then you can find the product of 70 and 320:

70 × 320 = 22,400

This is an estimate of the actual product.

To find the actual product, you can multiply 68 and 321:

68 × 321 = 21,828

Therefore, the estimate is 22,400 and the actual product is 21,828.

P is located at the point (31/13, 44/13).

How to determine?

Let A and B be two points on a line segment, and let P be the point that divides AB in the ratio 3:10. We can find the coordinates of P as follows:

Suppose that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2). Then the coordinates of P can be found using the following formula:

P = ( (10 * x1 + 3 * x2) / (10 + 3), (10 * y1 + 3 * y2) / (10 + 3) )

In other words, we add 10 parts of x-coordinates of A to 3 parts of x-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the x-coordinate of P. Similarly, we add 10 parts of y-coordinates of A to 3 parts of y-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the y-coordinate of P.

So if we know the coordinates of A and B, we can plug them into the formula above to find the coordinates of P.

For example, suppose that A has coordinates (1, 2) and B has coordinates (7, 8). Then the coordinates of P can be found as follows:

P = ( (10 * 1 + 3 * 7) / (10 + 3), (10 * 2 + 3 * 8) / (10 + 3) )

= ( (10 + 21) / 13, (20 + 24) / 13 )

= (31/13, 44/13)

Therefore, P is located at the point (31/13, 44/13).

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The length of side {x} in simplest radical form with a rational denominator is 2√6.

According to the Pythagoras theorem, we can write -

        (hypotenuse)² = (base)² + (perpendicular)²

        (h)² = (b)² + (p)²

Given is the right - angled triangle.

We can write using the Pythagoras theorem as -

x² = √12² + √12²

x² = 12 + 12

x² = 24

x = √2 x 2 x 2 x 3

x = 2√6

Therefore, the length of side {x} in simplest radical form with a rational denominator is 2√6.

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To convert meter into miles we simply have to divide meter by 1609.34 so we have 1000 m as 6.21 miles.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.

first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).

The imperial unit system uses the symbol mi to designate the mile as a unit of length.

Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.

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Answer:

1) Put equation or function in y= form.

2) Multiply out (expand) any factored polynomials in the numerator or denominator.

3) Remove everything except the terms with the biggest exponents of x found in the numerator and denominator. These are the "dominant" terms.

The value of length of 65-inch after converting in decimals is 165.1 centimeters.

The conversion is important because some countries, such as those in Europe and Asia, use the metric system, which is based on centimeters, while others, such as the United States, use the imperial system, which is based on inches.

Knowing the conversion rate between these two systems can be useful in many situations, especially when it comes to purchasing electronics or other goods that are measured in different units of measurement.

Here,  to convert inches to centimeters the formula used is:

1inch is equal to 2.54 cm.

In this case, 65 x 2.54 equals 165.1 centimeters.

The length of 65-inch  is equal to approximately 165.1 centimeters.

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Answer:

7:11

Step-by-step explanation:

The ratio is 56:88

We simplify by 8 and get the ratio

7:11

We can't simplify anymore, so the answer is 7:11

As they want to compare who takes the longest time to ride their bike to school, such data will be considered as numerical because it involves quantitative measurements (time taken to ride a bike) and can be represented by numbers.

Numerical data, also known as quantitative data, is information that is typically presented in the form of numbers and does not include any language or descriptive information. It's always measurable and can be added up.

We can perform mathematical and arithmetic operations on this type of data, and it can be expressed in decimal or fraction form. It can be useful in presenting information such as height, weight, distance and age, for example.

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A) note that the above graph is attached accordingly including at least 5 points and the vertex.

(-4, -3)

(-3, 0)

(-2, 1)

(-1, 2)

(0, 1)

(1, 0)

B) The function f(x) is a reflection of the parent function y=|x| over the vertical axis, shifted one unit to the left and two units up.

C) The domain of f(x) is all real numbers since the absolute value of any real number is always non-negative.

The range of f(x) is from negative infinity up to (but not including) 2, since the highest value f(x) can attain is 2 due to the vertical shift of the function, and it can take on any value less than 2 (down to negative infinity) due to the reflection and vertical stretching of the absolute value function. In interval notation, the range can be expressed as (-∞, 2).

D) The vertex of the function f(x)=-|x+1|+2 is (-1, 2)

A domain is the set of all possible input values for a function. It specifies the range of values over which the function is defined.

Vertex is the point on the graph of a parabolic function that represents either the maximum or minimum value of the function. It is also known as the "turning point" of the function.

A Parent function is basic or "template" function that represents a particular type or family of functions. It can be transformed to create various related functions.

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The correct conclusions about the triangle reflections are -

        {y} - axis.

        {x} - axis.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.

Given is the boxplot as shown in the image.

From the box - plot, we can write the results as -

Therefore, We c

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Answer: 10in

Step-by-step explanation: It's been awhile since I have done a problem like this but what you would do first is LxHxW of coarse. I believe you would multiply 5x2=10 3x10=30 30+10=40 40 divided by 4= 10. I'm sorry if it's wrong like I said it's been awhile.

Answer:

V = [tex]40in^{3}[/tex]

Step-by-step explanation:

V = [tex]\frac{lwh}{3}[/tex]= [tex]\frac{5*4*6}{3}[/tex]= [tex]40in^{3}[/tex]