Estimate the square root of -54 to the nearest integer

Answer:

502.5pi or 1578.1415

Step-by-step explanation:

find area of one triangle (BH divided by 2), then multiply it by two since there are two, then find area of circle(pir^2),  divide in half because it is a semi-circle, add the areas together

Answer:

The first one would be 9

The second one would be 4

Step-by-step explanation:

By adding the same numbers, you make the equations equal and therefore true.

Answerthey die

Step-by-step explanation:

hhhah

If [tex]h(t)=3[/tex] then [tex]h(4)=3[/tex]

Answer:

56

Step-by-step explanation:

The pattern is an arithmetic sequence:

by the first three terms, the common difference is:

28-14=42-28=14

So the next pattern would be:

14+42=56

By the equation x = a + d ( n - 1 )

Substituting when n=1, x=14 and when n=2 x=28

a = 14 and d = 14

x = 14 + 14 ( n - 1 )

substituting n = 4

x = 14 + 14 ( 4 - 1 )

x = 56

28÷14=42-28=14+42=56

Answer:

primero divides 600 entre 6 te da 100

entonces cada mesa vale 100 pesos así que

100x1:100 así que a juan le tocan 100 pesos

100x2:200 así que Alberto le tocan 200 pesos

100x3:300 así que a Luis le tocan 300 pesos

Answer:

2xˆ2-4yˆ2

Step-by-step explanation:

Answer:

2.08

Step-by-step explanation:

Answer:

2.0833333333333

Step-by-step explanation:

use calculator

Answer:

H

(6x - 1)

125

F G

(5x + 16)

Step-by-step explanation:

Answer:

(19x-290)/(4(x+2)(x-6)

Step-by-step explanation:

Apply Fraction Rule:

(41)/(4x+8)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/2(x-6)

LCM:

(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)

Expand:

= (19x-200)/4(x+2)(x-6)

Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)

Answer:

The description is as follows:

Step-by-step explanation:

The description of the net of a rectangular prism is as follows:

The length i.e. 12 centimeters would be multiplied by width of 9 and then it added to the height i.e. 5 centimeters

The above represent the description of the net of a rectangular prism

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer:

150 half chicken and 250 full chicken

Step-by-step explanation:

Represent whole chicken with w and half chicken with h.

So, we have:

[tex]Total = 400[/tex]

Which implies that:

[tex]w + h = 400[/tex]

Also:

[tex]Amount =\$4200[/tex]

Which implies that:

[tex]12w + 8h = 4200[/tex]

So, we are to solve for h and w from:

[tex]w + h = 400[/tex]

[tex]12w + 8h = 4200[/tex]

Make h the subject in the first equation

[tex]h = 400 - w[/tex]

Substitute 400 - w for h in the second equation

[tex]12w + 8(400 - w) = 4200[/tex]

[tex]12w -8w + 3200 = 4200[/tex]

[tex]12w -8w =- 3200 + 4200[/tex]

[tex]4w =1000[/tex]

[tex]w = 250[/tex]

Recall that:

[tex]h = 400 - w[/tex]

[tex]h = 400 - 250[/tex]

[tex]h =150[/tex]

Answer:

10/23

Step-by-step explanation:

15/23 - 5/23 = 10/23(Ans)

Answer:

10/23

Step-by-step explanation:

(15/23-5/23) L. C. M = 23

15-5=10

=10/23

Answer:

Make sure to click on the png file the steps and answer are there!

Answer:

First option

Step-by-step explanation:

-4,-3,-2,-1

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

Answer:

25.8

Step-by-step explanation:

divide

Answer:

divide like i said

Step-by-step explanation:

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

0.125, 0.55, 0.6, 0.8, 0.875

Answer:

the answer will be 9.6 cm

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Answer:

7 6/7

Step-by-step explanation:

To find the area, multiply 2 1/7 by 3 2/3. Then, simplify to get the answer of     7 6/7.

Answer:

7 and 6/7 in.²

Step-by-step explanation:

2 and 1/7 × 3 and 2/3

Answer:

* Ratios are proportional if they represent the same relationship.

*If the reduced fractions are the same, your ratios are proportional.

*If two ratios are proportional is to write them as fractions and then reduce them.

Hope its helpful

Thank you

Answer:

107%p

not much explanation needed here, just conversion of units.

Answer:

12 pounds of grapes cost $18.00

Step-by-step explanation:

The point, (12, 18) as plotted on the graph indicates that 12 pounds of grapes costs $18.

From the graph, we see that when x (pounds) = 12, y (cost) = 18.00.