A cube-shaped aquarium has edges that are 1.75 ft long. the aquarium is filled with water that has a density of 72" lb/f" "t" ^3.

(a) should the aquarium be placed on a table that can support a maximum weight of 150 lb? explain why or why not.
(b) would the density of the water change if the aquarium was only half full? explain.

Answer:

12:20:25

I thnk this is it. I'm not sure though

Step-by-step explanation:

........ .......... ....

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, [tex]\frac{4}{3}[/tex] )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = [tex]\frac{A'}{A}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{\frac{4}{3} }{4}[/tex] = [tex]\frac{1}{3}[/tex]

similarly B (1, - 2 ) and B' ([tex]\frac{1}{3}[/tex], - [tex]\frac{2}{3}[/tex] )

[tex]\frac{\frac{1}{3} }{1}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{-\frac{2}{3} }{-2}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

9

Step-by-step explanation:

Do the powers

Then the bracket

Then x or ÷

And then + or -

the first equation is 15

the second equation is 3

the third equation is 17

the fourth equation is 7

the fifth equation is 6

the sixth equation is 50

the seventh equation is 2

the eighth equation is 5

the ninth equation is 11

the tenth equation is 31

Please can i have brainliest I did all answers correct I hope this helps you

Answer:

it 288

Step-by-step explanation:

if u multiply 24x12 it gives you 288 hope this help you

Your answer is 62.8

Have a good day

Answer:  X = 3 and Y = 0           3,0

Answer:

  7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

__

  5 -x > 2x -7

  12 > 3x . . . . . add x+7

  4 > x

The domain of f(x) requires that its argument be non-negative.

  5 -x ≥ 0   ⇒   x ≤ 5

  2x -7 ≥ 0   ⇒   x ≥ 7/2

Together with the domain restriction on f(x), the solution to the inequality is ...

  7/2 ≤ x < 4

Answer:

A

Step-by-step explanation:

You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

Given the following data:

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

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Answer:

There are 176 boys

Step-by-step explanation:

256/16=16

11x16=176

The equation of the quadratic function is y = -1/4(x + 2)² + 4

A quadratic equation is represented as:

y = ax² +bx + c

When x = 0 and y = 3, we have:

3 = a(0)² +b(0) + c

This gives

c = 3

So, we have:

y = ax² +bx + 3

When x = 1 and y = 1.75, we have:

1.75 = a(1)² +b(1) + 3

This gives

a + b = -1.25

Make b the subject

b = -1.25 - a

When x = -2 and y = 4, we have:

4 = a(-2)² +b(-2) + 3

This gives

4a - 2b = 1

Substitute b = -1.25 - a in 4a - 2b = 1

4a - 2(-1.25 - a) = 1

Expand

4a + 2.5 + 2a = 1

Evaluate the like terms

6a = -1.5

Divide both sides by 6

a = -1/4

Substitute a = -1/4 in b = -1.25 - a

b = -1.25 + 1/4

Evaluate

b = -1

So, we have:

y = -1/4x² - x + 3

Factor out -1/4

y = -1/4(x² + 4x) + 3

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

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)² = 4

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

Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3

y = -1/4(x² + 4x + 4 - 4) + 3

Expand

y = -1/4(x² + 4x + 4) + 1 + 3

Evaluate the sum

y = -1/4(x² + 4x + 4) + 4

Express the bracket as a perfect square

y = -1/4(x + 2)² + 4

Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4

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Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.

El porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.

En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.

Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.

El pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.

Entonces:

110%×P=143

Resolviendo:

P= 143 ÷ 110%

Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces  110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:

P=143 ÷ [tex]\frac{110}{100}[/tex]

P= 130

Entonces, el pago original sin la mora del 10% es 130.

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Answer:

6000

Step-by-step explanation:

Answer:

A = 314 cm²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

  = 3.14 × 10²

 = 3.14 × 100

 = 314 cm²

Answer:

I think it's B

Step-by-step explanation:

:)

[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]

[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]

None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The given equation is;

Equation 1;

[tex]\rm 3x+4[/tex]

Equation 2;

[tex]x+6-3x-2[/tex]

After putting the value 2 on the place of x we get;

Equation 1;

[tex]\rm = 3x+4[/tex]

[tex]=3 \times 2+4 \\ =10[/tex]

Equation 2;

[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]

Hence, the none of the given options are matching.

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Answer:

A. (-2√2, -2√2)

Step-by-step explanation:

Just use conversion formulas

hope this helps:)

Answer:

True

Step-by-step explanation:

A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = O (0, 0 ) and (x₂, y₂ ) = A (- 5, 2 )

[tex]m_{OA}[/tex] = [tex]\frac{2-0}{-5-0}[/tex] = [tex]\frac{2}{-5}[/tex] = - [tex]\frac{2}{5}[/tex]

(b)

the angle between a tangent and a radius at the point of contact is 90°

given a line with slope m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

(c)

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{5}{2}[/tex] , then

y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

to find c substitute A (- 5, 2 ) into the partial equation

2 = - [tex]\frac{25}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{25}{2}[/tex] = [tex]\frac{29}{2}[/tex]

y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{29}{2}[/tex] ← equation of tangent

Answer:

5.55 points

Step-by-step explanation:

25% reduction so its 75% of the original value

75% of 7.4 is 5.55

Answers:

P(A) = 7/12

P(B) = 1/2

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

Explanation:

To see how I calculated P(A), check out this link to this very similar question

https://brainly.com/question/27669586

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

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

Answer:

2 cm.

Step-by-step explanation:

Volume of the water is the same in the 2 cyinders,

Volume of water in  A = π r^2 * 18.

Volume in B = π (3r)^2 * h.

So 18πr^2 = 9π r^2 h

18 = 9h

h = 18 / 9

= 2

The system of equations and the corresponding matrix model for the following above is given and explained below.

A system of Equations refers to a set of equations that one must solve or interact with all at once.

Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.

Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:

100 - (5 percent + 3 percent) = 92 percent.

Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.

We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.

Hence, the various equations describing the system will be given as:

Xt+1 = 0.92Xt + 0.92Zt

Yt+1 = 0.05Xt + 0.999Yt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

or

Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt

Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.

The Matrix Model is given as follows:

[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex]  = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex]  = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]

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