Paulo comprou 60 maçãs e 24 laranjas. Ele pretende organizar essas frutas em embalagens plásticas. Em cada embalagem plástica ele colocará apenas um tipo de fruta e na maior quantidade possível, para que todas as embalagens fiquem com a mesma quantidade de frutas. Qual a quantidade de embalagens plásticas que Paulo irá precisar para organizar essas frutas? 7. 12. 84. 120.

Answer:

See Below

Step-by-step explanation:

When you have a negative exponent, you divide by the exponent hence the flipping. Here is an example to make it easier to explain.  Below are some power of ten:

[tex]10^3=1000\\10^2=100\\10^1=10\\10^0 =1\\10^{-1}=\frac{1}{10} =\frac{1}{10^1} \\10^{-2}=\frac{1}{100} =\frac{1}{10^2}[/tex]

When you go from an exponent to the one below it, you divide by the base. For example, to go from [tex]10^3[/tex] to [tex]10^2[/tex], you divide by ten. This is the same principle used to find the values of negative exponents. [tex]10^0[/tex] is [tex]10^1[/tex] divided by 10, so [tex]10^{-1}[/tex] should be [tex]10^0[/tex] divided by ten. [tex]10^0[/tex] is 1, making the value of [tex]10^{-1}[/tex] as [tex]\frac{1}{10}[/tex]. When you divide by ten, you multiply by [tex]\frac{1}{10}[/tex], this effect makes the exponent stack on the bottom and correspond to the magnitude of the power.

For this specific example, we can write:

[tex]2x^{-2}[/tex]

We are raising x to the power of negative 2, so we can say it is the same as [tex]\frac{1}{x^2}[/tex]. We are also multiplying by 2, so that's how we get [tex]\frac{2}{x^2}[/tex]

If you need more of a visual, here are the powers of x:

[tex]x^2\\x^1=\frac{x^2}{x} \\x^0=\frac{x^1}{x}=1 \\x^{-1}=\frac{1}{x} \\x^{-2}=\frac{x^{-1}}{x}=\frac{1}{x*x}=\frac{1}{x^2}[/tex]

And we just multiply 2 times the value of [tex]x^{-2}[/tex].

Hope this helps.

Answer:

(0.5, -3.5)

Step-by-step explanation:

(x1 + x2/2,   y1 + y2/2)

(-2 + 3 / 2,   -5 - 2 / 2)

(1/2, -7/2)

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

Answer:

the first one

Step-by-step explanation:

Answer:

Q

Step-by-step explanation:

it is between -1 and -2 were -2/3 would be located

Answer:

THE ANSWER IS 54

Step-by-step explanation:

Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

Answer:

C

Step-by-step explanation:

4x^2 - 3 - (x+1)

Distribute the -

4x^2 - 3 - x -1

=4x^2-x-4

So c

Answer:

The true statements are;

1) The center of the ellipse is at (-2, -5)

3) The covertices are at (-2, -4) and (-2, -6)

4) The distance between the center and each focus is 2·√6 units

Step-by-step explanation:

The given graph of the ellipse gives;

1) The location of the center of the ellipse = (-2, -5)

2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)

The distance between the center (-2, -5) and each vertex, d, is given as follows;

d = -2 - (-7) = 5 and d = 3 - (-2) = 5

Therefore, the distance between the center (-2, -5) and each vertex is 5 units

3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)

4) The coordinates of the focus of an ellipse = h - c, k

c = √(a² + b²)

Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6

∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)

The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6

5) The x-coordinate of the directrices of the ellipse = ± a/e

Where; a = 5

b² = a²·(1 - e²)

∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25

e = 2·√6/5

The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1

The distance between the center and the directrices ≈ 5.1 units

Therefore, the directrices are vertical lines approximately 5.1 units from the center

Answer:

Step-by-step explanation:

This is only my guess, as I haven’t done this topic in a few months

A. 398/427

0.93

B. 123/1192

0.10

C. 339/403

0.84

Answer:

(0, - 5)

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

if the vertex is at:

(h, k)

Then the focus is at:

(h, k + 1/(4*a))

Here we have the parabola:

x^2 = -20*y

if we isolate y, we get:

y = (-1/20)*x^2

First, we need to find the vertex.

remember that for a general quadratic equation

a*x^2 + b*x + c = 0

the x-value of the vertex is at:

x = -b/2*a

in this case we have b = 0, then our vertex is at x = 0.

If we evaluate the function at x = 0 we get:

y = (-1/20)*0^2 = 0

Then the vertex is at (0, 0)

Thus the focus will be at:

(0, 0 + 1/(4*a))

and we have

a = -1/20

then:

1/(4*a) = -20/4 = 5

Then the focus is:

(0, 0 -5) = (0, - 5)

Answer:

(0,-5)

Step-by-step explanation:

Did the test on Edge

Step-by-step explanation:

Let each side of square be x

So, x+x+x+x = 12.32

4x = 12.32

x = 12.32/4

x = 3.02 cm

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

Answer:

225 hahahahahahahhahahahhaha

Hahhahahahaha

The equation in slope-intercept form will be; y = 200- 25x

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

We have been given that Juanita opens a savings account with $200.

For Each month, she deposits $25 into her account and does not withdraw any money from it.

Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,

y = 200- 25x

Here the slope is - 25.

Hence, the equation in slope-intercept form will be; y = 200- 25x

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

because c has y=x-2.

Answer:

Step-by-step explanation:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1). Distance between (4, 1) and (2, 2) = [tex]\sqrt{(4-2)^2+(1-2)^2}[/tex]

                                                        = [tex]\sqrt{5}[/tex]

                                                        = 2.24

2). Distance between (-5, 2) and (-3, -2) = [tex]\sqrt{(-5+3)^2+(2+2)^2}[/tex]

                                                            = [tex]\sqrt{20}[/tex]

                                                            = 4.47

3). Distance between (3, -4) and (-2, 1) = [tex]\sqrt{(3+2)^2+(-4-1)^2}[/tex]

                                                          = [tex]\sqrt{50}[/tex]

                                                          = 7.07

4). Distance between (-1, -2) and (1, -4) = [tex]\sqrt{(1+1)^2+(-4+2)^2}[/tex]

                                                          = [tex]\sqrt{8}[/tex]

                                                          = 2.83

5). Distance between (5, -2) and (-1, -1) = [tex]\sqrt{(5+1)^2+(-2+1)^2}[/tex]

                                                           = [tex]\sqrt{37}[/tex]

                                                           = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Answer:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  

1). Distance between (4, 1) and (2, 2) =

                                                       =

                                                       = 2.24

2). Distance between (-5, 2) and (-3, -2) =

                                                           =

                                                           = 4.47

3). Distance between (3, -4) and (-2, 1) =

                                                         =

                                                         = 7.07

4). Distance between (-1, -2) and (1, -4) =

                                                         =

                                                         = 2.83

5). Distance between (5, -2) and (-1, -1) =

                                                          =

                                                          = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Step-by-step explanation:

Answer:

r=42 degrees

This is because of vertically opposite angles

s=68

This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees

Answer:

r = 42° , s = 68°

Step-by-step explanation:

r and 42° are vertical angles and are congruent , then

r = 42°

The sum of the 3 angles in a triangle = 180° , then

s = 180° - (70 + 42)° = 180° - 112° = 68°

Step-by-step explanation:

the answer is in the image above

Answer:

12

Step-by-step explanation:

[tex]\sqrt{0^{2} + 12^{2} }[/tex]

12

Answer:

c

Step-by-step explanation:

If it equals the double of one angle that means it is bisected in to 2 equal parts

Answer:

=11p-5r

Step-by-step explanation:

3p+(-q)-7r-(-8p)-q+2r=

3p-q-7r+8p-q+2r=

3p+8p-q-q-7r+2r=

11p-5r=

Answer:

[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]

Step-by-step explanation:

Start by converting miles to feet:

[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]

Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.

Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.

Therefore, we have:

[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]

In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).

Therefore, the length of the plane's path is:

[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

https://brainly.com/question/9288523

Step-by-step explanation:

the answer is in the image above

Answer:

6h + 5b = a

Step-by-step explanation:

Answer:

1 -1

2-4

3-9

4-16

5-25

6-36

7-49

8-64

9-81

10-100

11-121

12-144

Those are the first 12

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

Answer:

69.825

Step-by-step explanation: