ASAP!! ITS URGENT

What is the volume of a rectangular prism if the base area is 672 cm^2 and its altitude is 72 cm?

The boys' data has a greater degree of variability

The table displays the number of cheesy biscuits within lunchboxes for a group of 18 children, comprising 9 boys and 9 girls.

It outlines individual values for both sets of data:

Boys: 5, 7, 9, 11, 13, 15, 18, 20, 22

Girls: 8, 10, 12, 12, 13, 14, 15, 16, 18.

Upon calculating the interquartile range (IQR) for each respective dataset.

The following values were obtained: Boys' IQR calculates to an approximately higher value of 11 as compared to the girls who have an IQR of nearly five points lower than that of the former at only five points in magnitude.

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The table below represents the number of cheese crackers in the lunchboxes of 9 boys and 9 girls:

Boys Girls

5 8

7 10

9 12

11 12

13 13

15 14

18 15

20 16

22 18

Examining the table, is the degree of variability in the boys' data greater, lesser, or equal to the girls'? Work out the interquartile range of each set. Utilizing the interquartile range, compare the magnitude of variability between the two sets. Describe how the comparison affirms your first answer.

Answer:

Problem 1 all you need to do is move the decimal place over four times as it says in your text book. Start out by making the decimal point visible by doing this 58,927. right there then move it over four times like this 5,892.7 one 589.27 two 58.927 three 5.8927 four. When they say move it over four places that's what it means. Now you should be able to do the rest on your own. GOOD LUCK!!!

Answer: 39 square inches

Step-by-step explanation:

area of trapezium = 0.5 X (sum of parallel sides) X height

= 0.5 X (5 +8) X 6

= 0.5 X 13 X 6

= 39 (square inches)

Answer:

Step-by-step explanation:

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

The inside angles of any triangle always add to 180 degrees. This is regardless of what the side lengths are.

Answer: False.

Step-by-step explanation:

       No matter the length of a triangle's sides, the interior angles will always add up to 180 degrees (on a singular place). You can see a visual of this attached.

Answer:

(0,1)

Step-by-step explanation:

Answer:

2/3

----------------------

This is the same as p(x) = -x^2-5x

The degree is the largest exponent to determine what kind of polynomial we're dealing with.

For choice C, the degree is 2, so we have a quadratic here.

-----------

Extra info:

The equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

The equation of the plane that passes through points (1, 1, 1), (2, 0, 3), and (-1, 4, 2) can be found using the point-normal form of the equation of a plane.

To find the normal vector of the plane, we can take the cross product of two vectors formed by the given points. Let's call the vectors formed by (1, 1, 1) and (2, 0, 3) as vector A, and the vectors formed by (1, 1, 1) and (-1, 4, 2) as vector B.

Vector A = (2-1, 0-1, 3-1) = (1, -1, 2)
Vector B = (-1-1, 4-1, 2-1) = (-2, 3, 1)

Now, taking the cross product of A and B, we get the normal vector of the plane:
Normal vector = A x B = (1, -1, 2) x (-2, 3, 1) = (-1, -5, -5)

Using the normal vector and one of the given points (let's use (1, 1, 1)), we can write the equation of the plane as:
-1(x - 1) - 5(y - 1) - 5(z - 1) = 0

Simplifying the equation, we get:
-x - 5y - 5z + 11 = 0

So, the equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

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UDP (User Datagram Protocol) is a transport layer protocol that provides a lightweight, connectionless communication mechanism in IP networks.

The UDP segment consists of several fields that carry information necessary for the delivery of data. The segment structure diagram illustrates the different fields within a UDP segment:

0      7 8     15 16    23 24    31

+--------+--------+--------+--------+

|      Source Port      | Destination |

|                       |    Port    |

+--------+--------+--------+--------+

|            Length             |  Checksum |

+--------+--------+--------+--------+

|                                       |

|            Data (if any)        |

|                                       |

+---------------------------+

The fields in the UDP segment include:

Source Port (16 bits): Identifies the source application or process port number.

Destination Port (16 bits): Specifies the destination application or process port number.

Length (16 bits): Indicates the length of the UDP segment, including the header and the data, in bytes.

Checksum (16 bits): Provides error detection by verifying the integrity of the UDP segment.

Data: Contains the actual payload or application data being transmitted.

The UDP segment is a minimalistic and simple structure, primarily focused on providing an efficient and lightweight transport mechanism without the overhead of error recovery and flow control present in TCP (Transmission Control Protocol).

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Answer:

1000/2=500

Max=498000+500=498500

Min=498000-500=497,500

497500≤c<498500

Step-by-step explanation:

I.

The measure of the angle that is complementary to the angle 20° is 70°, 67° is 23°, 14° is 76°, 81° is 9° and 45° is 45°.

The sum of the complementary angles is 90°

Thus,

The complement of the angle 20° is 90°-20°=70°

The complement of the angle 67° is 90°-67°=23°

The complement of the angle 14° is 90°-14°=76°

The complement of the angle 81° is 90°-81°=9°

The complement of the angle 45° is 90°-45°=45°

II.

The measure of the angle that is supplementary to the angle 120° is 60°, 56° is 124°, 29° is 151°, 162° is 18° and 83° is 97°.

The sum of the supplementary angles is 180°

Thus,

The supplement of the angle 120° is 180°-120°=60°

The supplement of the angle 56° is 180°-56°=124°

The supplement of the angle 29° is 180°-29°=151°

The supplement of the angle 162° is 180°-162°=18°

The supplement of the angle 83° is 180°-83°=97°

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Answer:

1 and 11/15.

Step-by-step explanation:

To solve, we can separate the integers from the fractions.

(6 - 4) + (2/5 - 2/3)

= 2 + (6/15 - 10/15)

= 2 + (-4/15)

= 1 + 15/15 - 4/15

= 1 + 11/15

= 1 and 11/15

Hope this helps!

Answer:

below

Step-by-step explanation:

Part A)

The radius of a circle is half of its diameter.

Therefore, the radius of the circle is:

radius = diameter/2 = 8cm/2 = 4cm

So, the radius of the circle is 4cm.

You can also find radius by just dividing the diameter in half, or by 2.

Part B)

The area of a circle can be found using the formula:

Area = πr^2

where π is the mathematical constant pi (approximated as 3.14), and r is the radius of the circle.

Substituting the values given in the question, we get:

Area = πr^2

= 3.14 × (4cm)^2

= 3.14 × 16cm^2

Therefore, the area of the circle is:Area = 50.24cm^2 (rounded to two decimal places)

So, the area of the circle with a diameter of 8cm is 50.24cm^2.

The answer is ( 2x-1) (3X+2)

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

STEP 1-: Combine like terms

6z²-3Z-2+4Z

6Z²+1Z-2

STEP 2-: Multiply by 1

6Z²+1Z-2

6Z²+Z-2

STEP 3-: Use the sum-product pattern

6Z²-3Z-2+4Z

6Z²+4Z-3Z-2

STEP4-: Common factor from the two pairs

6Z²+4Z-3Z-2

2Z(3Z+20) -1 (3Z+2)

STEP 5-:Rewrite in factored form

2Z(3Z+20) -1 (3Z+2)

(2Z-1) (3Z+2)

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\(110\cdot 10^{4x}=55\implies 10^{4x}=\cfrac{55}{110}\implies 10^{4x}=\cfrac{1}{2}\implies 10^{4x}=2^{-1} \\\\\\ \log\left( 10^{4x} \right)=\log\left( 2^{-1} \right)\implies 4x\log_{10}\left( 10 \right)=-1\log_{10}(2)\implies 4x(1)=-\log(2) \\\\\\ 4x=-\log(2)\implies x=-\cfrac{\log(2)}{4}\implies {\LARGE \begin{array}{llll} x\approx -0.08 \end{array}}\)

Answer:

largest number =76

Step-by-step explanation:

let the consecutive integers be x,x+1,x+2,x+3

x+x+1+x+2+x+3=298

4x+6=298

4x=298-6

4x=292

x=292/4=73

numbers are 73,74,75,76

When water is pumped out from well A in a square formed by wells A, B, C, and D, the drawdown at the center is 15 ft. If water is pumped out from A, B, and C while pumped into D, the drawdown at the center is uncertain.

In the given scenario, pumping water out only from well A causes a drawdown of 15 ft at the center of the square formed by wells A, B, C, and D. However, when water is simultaneously pumped out from wells A, B, and C, while being replenished at well D, determining the drawdown at the center becomes more complex. The drawdown at the center of the square will depend on various factors such as the rate of pumping, the permeability of the aquifer, the distance between the wells, and the properties of the surrounding geology. Without specific information regarding these factors, it is not possible to determine the exact drawdown at the center.

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Answer:

Step-by-step explanation:

Limits exist for:

\(\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}\) = \(\frac{(x-4)(x+3)}{4-x}\) = ( - 1 )( x + 3 ) = - 7

\(\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}\) = \(\frac{(x+4)(x-2)}{2-x}\) = ( - 1 )( x + 4 ) = - 6

\(\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}\) = \(\frac{(x+5)(x-2)}{(x+2)(x-2)}\) = \(\frac{x+5}{x+2}\) = \(\frac{7}{4}\)

Answer:

-a²,a, a²,2a²,a³,2ab

Step-by-step explanation:

-------

Step 1:

Write the parent coordinates

(4 , 6)

Step 2

The point can bo on the positive y-axis or on the negative y-axis.

New coordinates

( 4 + 5, 6 + 5)

= (9 , 11)

Or

( 4 - 5, 6 - 5)

= (-1 , 1)

Final answer

Smaller y-value = 1

Larger y-value = 11

Answer:

picture A goes with c y= 2x^2

im not sure about B and C sorry but i got A for you

Step-by-step explanatioxn:

Answer:

a) C

b) A

c) B

Step-by-step explanation:

Please see the attached screenshot for details.

Graph A represents y = x² - 1, which is the vertical translation of the graph 1 unit down.

Graph B represents y = 2x², which is the narrowing of the parent graph, y = x².

Graph C represents y = x² - 1, which is the horizontal shifting of the parent graph, 1 unit to the left.

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the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.

We are given the coordinates of the points:

A (3 , 2)

B (3 , 6)

C (5 , 4)

We need to plot them on the graph paper.

Now, we need to translate the points 2 units to the up and 5 units to the left.

So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)

So, we get that:

A (3 , 2) will become A' ( - 2 , 4)

B (3 , 6) will become B' ( - 2 , 8)

C (5 , 4) will become C' ( 0 , 6)

Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.

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Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

Answer:

distance = independant; time = dependant

Step-by-step explanation:

You are able to change the distance you travel, making it the independant. As you go farther, the time increases, so it is dependant on the distance traveled, therefore it is the dependant.

An engineer is designing a fuel tank in the shape of a cylinder, the approximate radius of the cylinder is 8.2 inches.

Volume:

V = πr²h

Height:

h = 2r

V = πr²h

V= πr²(2r)

V= 2πr³

And we know that the volume must be 3,500 in³, now we can replace that and solve for R, we will get:

V= πr²h

3500 = 3.14 x 2 x (r)³

r = 8.2 inch

The cylinder's approximate radius must be 8.2 inches.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterised as an infinitely curved surface.

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