a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it t/f

The side of the small square is equal to the length of the rectangles, which is 16cm.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.


We can calculate the area of the small square by using the formula A = side² where A is the area and side is the length of the side of the square. Thus, A = 16² = 256 cm².

Now, the area of the large square is equal to the area of the small square plus the area of the four rectangles. The area of each rectangle is equal to 16 x 4 = 64 cm² Thus, the total area of the large square is 256 + 4(64) = 512 cm²

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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]

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:

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 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

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: 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.

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

Step-by-step explanation:

(2, -2) does not make the equation y = -5x - 2 true.

Why it is and what is an equation ?

We can check if the point (2, -2) satisfies the equation y = -5x - 2 by plugging in the values of x and y and seeing if the equation is true:

y = -5x - 2

-2 = -5(2) - 2

-2 = -12

Since -2 is not equal to -12, the equation is not true for the point (2, -2). Therefore, (2, -2) does not make the equation y = -5x - 2 true.

An equation is a mathematical statement that shows that two expressions are equal.

It typically consists of one or more variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

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The required value of 112 kilograms into pounds using standard conversion relation is equal to 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )

One kilograms is equal to 2.20462 pounds.

We need to convert 112 kilograms into pounds :

This implies :

⇒ 112 kilograms = ( 112 × 2.20462 ) pounds

⇒ 112 kilograms = ( 246.91744 ) pounds

⇒ 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )

Therefore, the converting value of kilogram to pounds is given by :

112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places ) .

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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

15/100

1/10+5/100

step1: di LCM si nye denominator si nye 100..emegbe zã denominator la nàtsɔ ama LCM la ..le ema megbe la, èdzinɛ ɖe edzi kple numerator

10+5/100

afɔɖeɖe 2: ƒo xexlẽdzesifianu la nu ƒu

15/100

ale,1/10+4/100 ƒe ƒuƒoƒo nye 15/100

Answer: 31.5

Step-by-step explanation:  
6*4=24 (Shaded Rectangle)

3*5=15  15/2=7.5 (Shaded Triangle)
7.5 + 24 = 31.5

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

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 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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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:

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.

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 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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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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Answer: Really?

Step-by-step explanation:

The Evaluate the expression (12)2•(3•5−3)+13 is [tex]{7\frac{1}{2}[/tex]

Multiply the numerator by the reciprocal of the denominator:

[tex]5(\frac{3}{2} )[/tex]

Multiply [tex]5(\frac{3}{2} )[/tex]:

Combine [tex]5[/tex] and [tex]\frac{3}{2}[/tex]:

[tex]\frac{5⋅3}{2}[/tex]

Multiply [tex]5[/tex] by [tex]3[/tex]:

[tex]\frac{15}{2}[/tex]

The result can be shown in multiple forms.

Exact Form:

[tex]\frac{15}{2}[/tex]

Decimal Form:

[tex]7.5[/tex]

Mixed Number Form:

[tex]{7\frac{1}{2}[/tex]

Hence, The Evaluate the expression (12)2•(3•5−3)+13 is [tex]{7\frac{1}{2}[/tex]

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Answer:

Step-by-step explanation:

66666

A quadratic equation can be solved by factoring if its coefficients are rational numbers and its discriminant, which is the expression under the square root in the quadratic formula, is a perfect square.

To determine if a quadratic equation can be solved by factoring, you must first ensure that its coefficients are rational numbers, meaning that they can be expressed as a ratio of two integers. Once you have confirmed this, you can calculate the discriminant of the quadratic equation, which is the expression b²-4ac, where a, b, and c are the coefficients of the quadratic equation in standard form.

If the discriminant is a perfect square, then the quadratic equation can be solved by factoring. If the discriminant is not a perfect square, then the quadratic equation cannot be solved by factoring using rational numbers, but may still be solvable using other methods, such as completing the square or the quadratic formula.

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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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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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The solutions to the equation f(x) = g(x) to the nearest hundredth are:  x = -8.85, -5.1 and x = 0.6

To find the solutions to the equation f(x) = g(x), we need to solve for x such that:

0.15x³ + 2x² + 7x - 3.3 = 1.5x - 7.3

We can simplify this equation by bringing all the terms to one side:

0.15x³ + 2x² + 5.5x - 4 = 0

To find the solutions to the nearest hundredth, we can use a graphing calculator or software to graph the functions f(x) and g(x) and find their points of intersection.

Using a graphing calculator , we can plot the two functions and find that they intersect at two points;

approximately x = -8.85, -5.1 and x = 0.6

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