Evaluate the equation below

Answer:

The volume of the soup can is 602. 88 cubic centimeters

Step-by-step explanation:

Volume of a cylinder = π {r} ^{2} h

Where π = 3.14

r = diameter ÷ 2

r= 8 ÷ 2

r= 4 cm

h= 12 cm

Volume of the soup can= 3.14 × 4 × 4 × 12

= 602. 88 cubic centimeters

Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

Kate can see across the horizon by 3.33 times further than Paul.

The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.

The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= Volume of Kate/Volume of Paul

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

You would plant 2 trees in each row instead of 4.

10 divided by 5 = 2

To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,

                    F(x) = 2^x

will become,

                    F(-4) = 2^(-4) = 1/16 or 0.0625

Answer:

B

Step-by-step explanation:

~ symbol refers to similarity. ∆ABC ~∆XYZ means that the two triangles are similar(Same shapes, not the same size).

Answer:

W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

Kindly check the attached image for more reference

Step-by-step explanation:

Given points of WXYZ ( can be identified by looking at the graph )

Applying translation 3 units left , 15 units down

(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)

Rule for translation (x,y) ===> ( x - 3 , y - 15 )

Applying translation to given points

Applying rotation 270° counterclockwise around the origin

Rotation 270° clockwise rule : (x,y) ===> (y,-x)

Explanation of rule , change the sign of the x values, then swap the x and y values places.

Applying rotation rule to points

So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

To see this graphed, kindly view the attached image.

The red square represents the square before any transformations

The blue square represents the square following the translation

And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .

Answer:

Original image:

W = (14, 10)

X = (12, 4)

Y = (6, 6)

Z = (8, 12)

To translate 3 units left, subtract 3 from the x-values (x - 3)

To translate 15 units down, subtract 15 from the y-values (y - 15)

W' = (14 - 3, 10 - 15) = (11, -5)

X' = (12 - 3, 4 - 15) = (9, -11)

Y' = (6 - 3, 6 - 15) = (3, -9)

Z' = (8 - 3, 12 - 15) = (5, -3)

(red square on attachment)

To rotate 270° counterclockwise around the origin (0, 0),

the point (x, y) becomes (y, -x). So, switch x and y and make x negative.

W'' = (-5, -11)

X'' = (-11, -9)

Y'' = (-9, -3)

Z'' = (-3, -5)

(green square on attachment)

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

[tex]y = - \frac{4}{5} x + 5[/tex]

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Answer:

18

Step-by-step explanation:

the absolute value is 18

If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).

The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.

The height of the trapezium will be 7 units.

The area of the trapezium will be

Area = 1/2 (2 + 7) x 7

Area = 0.5 x 9 x 7

Area = 31.5 square units.

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Answer:

See below ~

Step-by-step explanation:

Question 4

Finding the lateral area :

⇒ Lateral area = 2πrh

⇒ Lateral area = 2π(8)(20)

⇒ Lateral area = 320π cm²

===============================================================

Finding the surface area :

⇒ Surface area = Lateral area + 2 × area of the circle

⇒ Surface area = 320π + 2 × π(8)²

⇒ Surface area = 320π + 128π

⇒ Surface area = 448π cm²

=============================================================

Question 5

⇒ In this scenario, the part that is painted is the lateral area

⇒ Area painted = 6 × 4 × 170

⇒ Area painted = 24 x 170

⇒ Area painted = 4,080 mm³

Answer:

Y = -(1/3)X

Step-by-step explanation:

Extract two points

P1(6; -2) P2(-6; 2)

Now:

Y=mX+n. n=0 (interception with Y axis) exis)

Y=mX +0. m= (y2-y1) / (x2-x1)

m= (2+2) / (-6-6)

m= -(1/3)

Y=-(1/3)X

I believe it is 312, hope this helps, sorry if it doesn't!:)

Answer:

little falls has more

Step-by-step explanation:

show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8

use that to explain :) your welcome

Answer:

  Riverside had the greatest rainfall total

Step-by-step explanation:

The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.

__

Total rainfall in Riverside was ...

  (1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1

  = (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches

__

Total rainfall in Little Falls was ...

  (1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2

  = (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches

__

Riverside had more rainfall, because 3 1/8 is more than 2 1/2.

__

You can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.

The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.

Step-by-step explanation:

Question:-6x + 12 = 3+3x

Answer:- 6x + 12 - 3 - 3x=0

6x-3x+12-3=0

3x+9=0

3x=-9

x=-9/3

x=-3

Hope this helps you

Have a nice day

Answer:

x = -3

Step-by-step explanation:

6x + 12 = 3+3x

6x + (12-12) = (3-12)+3x

(6x-3x) = (3x-3x)-9

3x/3 = -9/3

X=-3

It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.

The approximate amount of water that he has been charged for will be given as follows:

The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.

Which is: (0) + (6.36 *14) + (7.98*20) = R248.64

Recall that the total amount he was charged is R281.27.

Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.

This figure (that VAT)  is: R281.27 - R248.64 = R32.63

Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl

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Answer:

49

Step-by-step explanation:

Simplify the expression such that the variable has a positive exponent.

Substitute x = 7.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = P×T×R

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest that will be charged on the principal amount is,

SI = $159,000×30×0.0505 = 240,885

Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,

Total amount = $159,000 + $240,885 = $399,885

Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,

Number of months = $399,885/$1300 = 307.6 ≈ 308

Hence, it will take 308 months for Diego to pay the complete loan.

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A. 234 cm

multiply the given length value ( 234 ) by 10.

[tex]234 \times 10[/tex]

[tex] = 2340 \: mm[/tex]

B. 15m

multiply the given length value ( 15 ) by 1000.

[tex]15 \times 1000[/tex]

[tex] = 15000 \: mm[/tex]

C. 25km

multiply the length value ( 25 ) by 1000000.

[tex]25 \times 1000000[/tex]

[tex] = 25000000 \: mm[/tex]

a)

234 × 10

= 2340 millimeters

b)

15 × 1000

= 15000 millimeters

c)

25 × 1000000

= 25000000 millimeters

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are

Generally,  Probability is simply defined as the position or attribute of being likely.

In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.

CQ

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.

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Answer:

A & D

Step-by-step explanation:

E2020 Geometry B!! :33

Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.

You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.

We could also see the image of such figure.

Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.

Sampling error is the difference between the estimated value and the  true value if the whole population was enumerated while doing the sampling.

By following the sampling principles one can keep the sampling error to the minimum.

The knowledge of the sampling error  will help in evaluating the sampling process and defining gits efficiency.

The factors that affect Sampling Error are

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.

Therefore , Option D is the correct answer.

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Answer:

42

Step-by-step explanation:

Trapezoid has 4 lines

If each side increase by 7, 4 lines totally increase by 7*4 = 28

Perimeter will be 14 + 28 = 42

Answer:

If the circle touches all 4 sides, the diameter is 2 so the area us 3.14(4) = 12.56.

16 - 12.56 = your answer

Mark brainliest if I am right pls

Explanation:

The mode is the most frequent number. It is the number that shows up the most.

Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.

Answer:

636/928 = 137/200

0.685

68.5%

Step-by-step explanation: