What’s the answer to the question attached

The radius of the Sphere that submerged in the water is 178.9 mm.

Volume of the Cuboid:

Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space.

The general form of the Volume of the Cuboid is,

Volume of a cuboid = l × b × h    [cubic units]

Where,

l = length

b = breadth

h = height

Given,

A water tank is a cuboid 45cm long, 30cm wide and 26cm high.

It contains water to a depth of 21cm.

A sphere is placed in the tank and is fully submerged. the water level rises by 1.8cm.

Here we need to find the radius of the Sphere and we have to use the Volume of the sphere as 4/3πr³.

First, we need to find the volume of the water,

For that, we have to take the measurement of it.

l = 45 cm

b = 30 cm

h = 21 cm

( here we have to find the volume of water, so we have take the water depth as its height)

Now, the volume of the water is,

V₁ = 45 x 30 x 21

V₁ = 28350 cm³

After placed the sphere on the tank the water level is increased as 1.8 cm,

So, the new height = 21 + 1.8 = 22.8

Now the new volume is,

V₂ = 45 x 30 x 22.8

V₂ = 30780 cm³

So, the Volume of the increased water level is,

=> 30780 - 28350

=> 2430 cm³

Now we have to consider this as the Volume of the Sphere and calculate the radius through it,

=>  4/3πr³ = 2430

=> r³ = 2430 x 3/4 x π

we know that the value of π = 22/7

So,

=> r³ = 2430 x 3/4 x 22/7

=> r³ = 5727.86

=> r = ∛5727.86

=> r = 17.89

Therefore, the radius of the sphere is 17.89 cm

Now we have to convert it into mm,

=> 1 cm = 10 mm

So,

=> 17.89 cm = 178.9 mm

Therefore, the radius of the sphere is 178.9 mm.

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The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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In cuboid , h = 14.5 is  the value of h have to be .

Exactly what is a cuboid?

surface area = 2 ( lh + lw  + hw) = 680

2( 10h + 10(10) + h(10) = 680

20h + 100 + 20h = 680

40h = 680 - 100

40h = 580

h = 14.5

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Answer: the thickness of each sheet of paper is 2in thick.

Step-by-step explanation:

There is none.

If box contains 5 reams of paper, the estimated thickness of 2 sheets of paper is T/1250.

To estimate the thickness of 2 sheets of paper, we can use the given information about the number of reams in the box and the number of sheets in one ream of paper.

First, we know that one ream of paper contains 500 sheets. Since the box contains 5 reams, the total number of sheets in the box is 5 reams × 500 sheets/ream = 2500 sheets.

Next, we can calculate the thickness of one sheet by dividing the total thickness of the reams by the number of sheets. Let's assume the thickness of the 5 reams combined is T.

Thickness of one sheet = T/2500

Now, to estimate the thickness of 2 sheets, we multiply the thickness of one sheet by 2:

Estimated thickness of 2 sheets = (T/2500) × 2 = 2T/2500 = T/1250

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The total costs are the same when a kayak is rented for 5 hours

How do we determine the hours that both have the same costs?

The hours that both shops have the same cost is determined by equating the total cost in shop A to the total  cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge

y=a+bx

y=total cost

a=fixed charge for each shop

b=hourly fee

x=number of hours

Shop A:

total cost=8+3x

Shop B:

total cost=3+4x

8+3x=3+4x

8-3=4x-3x

5=x

At 5 hours both Shops A and B would have the same cost

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The hours when the cost of renting the kayaks would be the same is 5 hours.

The total cost of renting a kayak is $23.

The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.

The form that the equation would be is:

Total cost = rental fee + (hourly fee x number of hours)

Total cost at Shop A = $8 + $3h

Total cost Shop B = $3 + $4h

Where h is the number of hours the kayak was rented.

When the total costs are equal, the two above equations would be equal.

$3 + $4h  =  $8 + $3h

Combine similar terms: $4h - $3h=  $8 - $3

Add similar terms together: h = 5 hours

Total cost = $3 + $4(5)

$3 + $20 = $23

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Answer:

0 + 47 = 47

Step-by-step explanation:

➟ 0 + __ = 47

Let's Change __ to x

➟ 0 + x = 47

Calculate 0 + x = x

➟ x = 47

∴ 0 + 47 = 47

Property used is Identity property of addition

Answer:

1/2 y > 22

Solved: y > 44

Step-by-step explanation:

We are trying to write an inequality

One-half of a number y

1/2 y

is more than

>

22

1/2 y > 22

Solving the inequality

Multiply each side by 2

1/2y * 2 > 22*2

y > 44

Answer: -8

Step-by-step explanation:

-2(2)-4 -> -4-4 = -8

Answer:

reflection

Step-by-step explanation:

triangle ABC reflected to become triangle DEF

Answer:

Step-by-step explanation:

That expression can be written as:

Hope it helped,

The inference is that Ah Fo's reply to the magician giving him the three brass pennies is D.

Ah Fo tells the magician that he doesn't want a reward for his help.

It should be noted that the information is about how the character helped the magician. Despite the help, he didn't request for anything in return.

Therefore, the inference is that Ah Fo's reply to the magician giving him the three brass pennies is that Ah Fo tells the magician that he doesn't want a reward for his help.

In conclusion, the correct option is D.

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Read the excerpt from "The Three Brass Pennies."

“And what might your decision be?” asked the magician, as he spread out the three brass pennies before him.

“I would ask first,” went on Ah Fo, “for the power to read accurately the thoughts of others; secondly, for the power to foretell my own future at least a month in advance of any given moment; third, for the power to acquire all learning without any effort!”

When he had finished, the magician sat back with a gasp, took off his spectacles and wiped them, put them on once more, and stared at Ah Fo in astonishment and not a little dismay. “This is most unusual,” he stammered, “not to say somewhat dangerous! Have you duly considered, my son, the extent of all you ask?”

Answer:

48

Step-by-step explanation:

set up a proportion of 1/3 and x/144 and then divide 144 by 3 which is 48

[tex]\stackrel{\textit{ratio of 1~:~3}}{\cfrac{males}{females}~~ = ~~\cfrac{1}{3}}\implies \cfrac{males}{144}~~ = ~~\cfrac{1}{3}\implies 3males=144 \\\\\\ males=\cfrac{144}{3}\implies males=48[/tex]

Answer:

The 2 is placed in the Hundredths place

Step-by-step explanation:

Hope it helps! =D

Left-handedness is _more_______ common than usual among mathematicians and ___more_____ common than usual among artist

The relationship between handedness and mathematical ability is still highly controversial.

While some researchers have claimed that left-handers are gifted in mathematics and strong right-handers perform the worst in mathematical tasks, others have more recently proposed that mixed-handers are the most disadvantaged group.

However, the studies in the field differ with regard to the ages and the gender of the participants, and the type of mathematical ability assessed.

To disentangle these discrepancies, we conducted five studies in several Italian schools (total participants: N = 2,314), involving students of different ages (six to seventeen) and a range of mathematical tasks.

The results show that (a) linear and quadratic functions are insufficient for capturing the link between handedness and mathematical ability; (b) the percentage of variance in mathematics scores explained by handedness was larger than in previous studies.

The last theory drawing a causal link from handedness to mathematical ability through cognition is the hemispheric indecision hypothesis.

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Answer:

2x^2+2x+2

Step-by-step explanation:

7-7+5x-5x+2+2x^2+2x

ok first off i see 7-7, which is zero so we can leave that out

i also see 5x-5x which is also zero

now we have 2+2x^2+2x left, and to order it properly we put the number with the exponent and variable first, then the number with the variable, and then the number

so your final answer would be

2x^2+2x+2

i hope that helps! if you have any questions just ask!

By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.

Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:

r = l' / l      

Where:

If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:

l' = 5 · r

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Answer:

0.6

Step-by-step explanation:

Divide 2 by 3 to convert 2/3 in its decimal form.

The quotient obtained on dividing 2 by 3 will be 0.6

So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.6

Applying the triangle proportionality theorem, the length of line EC is: 7.2 units.

Since lines AC and DE are parallel to each other in the triangle, and DE intersects sides AB and AC, then we would have the following proportion based on the triangle proportionality theorem:

BD/DA = CE/EA

BD = 18 units

DA = 15 units

CE = ?

EA = 6 units

Plug in the values

18/15 = CE/6

(18)(6) = (CE)(15)

108 = CE(15)

Divide both sides by 15

108/15 = CE(15)/15

7.2 = CE

EC = 7.2 units

Therefore, applying the triangle proportionality theorem, the length of line EC is: 7.2 units.

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The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.

In geometry, a plane is a flat plate which extends in all directions to infinity.

Now, as per the question;

Consider the following equation.

y = 1 denotes a vertical plane in the xy plane.

Z = 7 denotes a horizontal plane parallel to the xy plane.

Both planes intersect and are perpendicular to each other.

y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.

Therefore, the points are (0,1,7), and also the line is parallel to the x axis.

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The distance between the two points in simplest radical form is 2√5.

Given the points are (₋8 , 7) and (₋4 , 5)

Let (₋8 , 7) be (x₁ , y₁) and

(₋4 , 5) be (x₂ , y₂)

we know that distance between two points is:

√(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

Substitute (₋8 , 7) and (₋4 , 5) into the above distance formula.

√(₋4 ₊ 8)² ₊ (5 ₋ 7)²

calculate the sum or the difference.

√(4)² ₊ (₋2)²

Determine the sign for radical or exponential expressions.

√16 ₊ 4

√20

Now factor and rewrite the radicand in the exponential form.

√2²×5

Rewrite the expression using ⁿ√ab = ⁿ√a . ⁿ√b

√2² × √5

simplify the radical expression.

2√5

hence we get the distance between two points in radical form as 2√5 units.

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Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

Answer:

119 r 9

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

That just means to multiply the number by itself 4 times.

4 x 4 = 16 x 4 = 64 x 4 =  256

Answer:

I couldn't understand the question well

Step-by-step explanation:

(-15) x 3 = -45

(-15)^3 = -3375

Answer:

The GCF is 1.

Step-by-step explanation:

The factors of 1 are: 1

The factors of 1 are: 1

The factors of 2 are: 1, 2

The factors of 3 are: 1, 3

The factors of 4 are: 1, 2, 4

The factors of 5 are: 1, 5

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 89 are: 1, 89

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 176 are: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Then the greatest common factor is 1.

Answer:

thyjdbbdhehwjwnwjehe

Based on the number of seals that were tagged near Avila Beach, the approximate number of seals near Avila Beach is 44 seals

The number of seals near Avila beach can be said to be x. If it is x, then the formula is:
12 = 27% x ×

27%x = 12

0.27x = 12

Solving for x then gives:

x = 12 / 0.27

x = 44.44

= 44 seals

In conclusion, there are approximately 44 seals near Avila beach.

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