Cuales son las dimensiones de un rectángulo con un perímetro igual a 578 pulgadas, si su largo es 6 pulgadas menos que 4 veces su ancho

The top line has 4x^-2, they needed to move the x^-2 to the denominator using the negative exponent rule, so in line 1 instead of 1/y^-2, it should be 1/x^-2

Then the answer would become 4y^3 / x^3

Answer:

The option on the top left

Step-by-step explanation:

As the equation is [tex]x^2+(y-4)^2=16[/tex]

We know that the circle will have a radius of 4 and will be shifted 4 units up

The center and radius of given circle equation are (0, 4) and 6√6 units respectively.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

The given circle equation is x²+(y-4)²=216.

Find the properties of the conic section

Center: (0,4)

Radius: 6√6

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain:

[−6√6,6√6],{x∣∣−6√6≤x≤6√6}

Range: [4−6√6,4+6√6],{y∣∣4−6√6≤y≤4+6√6}

Therefore, the center and radius of given circle equation are (0, 4) and 6√6 units respectively.

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Carlos is 15 years old and Andre is 30 years old.

Let's represent Carlos' age as 'x', and Andre's age as 'y'.

We are given that Carlos is half as old as Andre, so we can write the equation:

x = (1/2)y

We are also told that Andre is 15 years older than Carlos, so we can write the equation:

y = x + 15

Substituting the value of y from the second equation into the first equation, we get:

x = (1/2)(x + 15)

Now, we can solve for x:

2x = x + 15

x = 15

Therefore, Carlos is 15 years old. Andre's age can be found by substituting the value of x into the second equation:

y = 15 + 15

y = 30

So, Andre is 30 years old.

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Answer:

It is cryptic

Step-by-step explanation:

It is cryptic bc it means secretive and with hidden meaning

Answer:

Cryptic

Step-by-step explanation:

Cryptic means "having a meaning that is mysterious or obscure," so this would be the right answer

Why the others aren't correct:

Boisterous- Noisy, energetic, cheerful, rowdy [This doesn't fit the sentence]

Petulant- Childishly sulky [pouty] or bad tempered [This doesn't fit the sentence]

Jovial- Cheerful and friendly [This doesn't fit the answer]

Thus, the answer is cryptic.

I hope this helps!

ANSWER

p

[tex]{f}^{ - 1} (x) = 3x + 4[/tex]

EXPLANATION

The line r has equation,

[tex]f(x) = \frac{x - 4}{3} [/tex]

The line that represents

[tex] {f}^{ - 1} [/tex]

is p.

To find the equation of p, we let

[tex]y = \frac{x - 4}{3} [/tex]

We now interchange x and y.

[tex]x= \frac{y - 4}{3} [/tex]

We solve for y,

[tex]3x=y - 4[/tex]

[tex]y = 3x + 4[/tex]

Therefore

[tex] {f}^{ - 1} (x) = 3x + 4[/tex]

Answer:

f(x) = x² + 2x - 3  ..….equation1

The graph of function will be a parabola

Standard form of parabola:

y=ax²+bx+c

x-coordinate of the vertex can be found using

x = [tex]\frac{−b}{2a}[/tex]

from equation 1 find values for a, b, and c.

a = 1, b = 2, c = -3    ⇒  x=−2/2(1) ⇒  x = -1

substitute the value of x into equation 1 for y-coordinate

f(-1) = (-1)² + 2(-1) – 3 ⇒ −4

vertex =(-1,−4)

Axis of symmetry = x = -1,  

Axis of symmetry is vertical and passes through the vertex with equation

x = -1

For x-intercept, put y = 0

x² + 2x - 3=0   ⇒   x² + 3x -x - 3=0     ⇒  x( x + 3 ) -1 ( x + 3 )  ⇒ ( x − 1 )( x + 3 ) = 0

equate each factor to zero and solve for x

x − 1 = 0  ⇒  x = 1,         x + 3 = 0  ⇒  x = -3

x-intercept = { 1, -3 }

For y-intercepts put x = 0

y = (0)² + 2(x) - 3

y = -3

y-intercept = ( 0 , -3 )

The points for the vertex, x-intercepts, and y-intercept and axis of symmetry are plotted on the graph.  

Answer:

I am not sure i am sorry if i was smart i would know but ya sorry

Step-by-step explanation:

::::::::::::::

ANSWER=5

EXPLANATION

The Mode is known as the number that occurs most often in a set of data, so the data being 5,5,5,5,5 only has fives in it so the answer must be 5.

Hello There!

The mode is the number that occurs the most in a set of numbers. In this case, there is only 5 numbers but they are all the same so the mode of the data set shown would be 5.

Answer:

95

Step-by-step explanation:

Week                Number of Beetles

0                               16

1                                16 + (16/4) = 20

2                                20 + (20/4 ) = 20 + 5 = 25

3                                25 + (25/4 ) = 25 + 6.25 ≈ 31

4                                31 + (31/4) = 31 + 7.75 ≈ 31+8 ≈ 39

5                                39 + (39/4) = 39 + 9.75 ≈ 39 + 10 ≈ 49

6                                 49 + (49/4) =  49+ 12.25 ≈ 49+12 ≈ 61

7                                 61 + (61/4) = 61 + 15.25 ≈ 61 + 15 ≈ 76

8                                 76 + (76/4) = 76 + 19 = 95

Hence there will be approximately 95 beetles by 8th week                  

Step-by-step explanation:

price before increased be x

After it is increased by 8% it becomes1.08x

equal to 486

so 1 .08x=486

x=£450

The price of the ring before the increase was £450.

This refers to the value given to a product when sold to consumers from the retailers or wholesalers.

Hence,

Given that the price before the increase is X

If increased by 8%,

It becomes 1.08x=486

Collect like terms

x= £450

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Answer:x=4√6

Step-by-step explanation:

In ∆DCB, cos30°=BC/DB

√3/2*16=BC

BC=8√3

Applying PYTHAGORAS THEOREM in ∆BAC,

(8√3)^2=2x^2

x=4√6

Answer:

[tex]x=4\sqrt6}[/tex]

Step-by-step explanation:

Look at the picture.

ΔACD it's a triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

CD : CB : DB = 1 : √3 : 2.

If BC = 16, then CD = 16 : 2 = 8 and CB = 8√3

ΔABC it's a triangle 45° - 45° - 90°. The sides are in ratio 1 : 1 : √2.

Therefore

AC : AB : CB = 1 : 1 : √2

If CB = 8√3, then AB = x = (8√3)/(√2)

[tex]x=\dfrac{8\sqrt3}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{8\sqrt6}{2}=4\sqrt6[/tex]

Answer:

(7,5) is the vertex

Step-by-step explanation:

She could've subtracted 19 from both sides of the equation in the second step to find the value of [tex]x[/tex] immediately, rather then add 19 to both sides.

[tex]34=x+19 \\ \\ 34-19=x+19-19 \\ \\ x=15[/tex]

Answer:

19  should have been subtracted from, not added to, both sides of the equation.

Step-by-step explanation:

The minimum amount of water she needs to completely fill the sphere is; 904.32 inches³

The formula for Volume of a Sphere is given as;

V = ⁴/₃πr³

We are given;

Diameter; d = 12 inches

Thus;

Radius; r = 12/2 = 6

To get the minimum amount of water she needs to completely fill the sphere, we just plug in the relevant values into the volume equation to get;

V = ⁴/₃π(6)³

V = 904.32 inches³

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Answer:

[tex]A=\$6,768.75[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$5,600\\ r=0.019\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,600(1+\frac{0.019}{4})^{4*10}[/tex]  

[tex]A=\$5,600(1.00475)^{40}=\$6,768.75[/tex]  

Answer: W=-1.8

Step-by-step explanation:

Divide both sides by 2.02 and you are left with W=-1.8.

Hope this helps!

Answer:

W = -1.8

Step-by-step explanation:

Step 1: Divide 2.02 on both sides.

W = -1.8

Answer: OPTION A.

Step-by-step explanation:

You can observe that in the figure CDEF the vertices are:

[tex]C(-2,-1),\ D(-2,0),\ E(2,2)\ and\ F(2,1)[/tex]

And in the figure C'D'E'F'  the vertices are:

[tex]C'(-8,-4),\ D'(-8,0),\ E'(8,8)\ and\ F'(8,4)[/tex]

For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:

For C'(-8,-4) and C(-2,-1):

[tex]\frac{-8}{-2}=4\\\\\frac{-4}{-1}=4[/tex]

Let's choose another vertex. For E'(8,8) and E(2,2):

[tex]\frac{8}{2}=4\\\\\frac{8}{2}=4[/tex]

You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.

Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:

[tex](x, y)[/tex]→[tex](4x, 4y)[/tex]

Answer:

A. (x, y) => (4x, 4y) this will help you out ;-)

Answer:

Step-by-step explanation:

Base x width x height

For this case we have by definition that the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where we have to:

A: It is the radius of the cylinder

h: It is the height of the cylinder

To find the volume of a cylinder we must have the radius and the height. In an equivalent way we can have the diameter, the radius is obtained by dividing the diameter by 2.

Answer:

[tex]V = \pi * r ^ 2 * h[/tex]

Answer:

x² + 11x + 30

Step-by-step explanation:

Solve using the FOIL method. The FOIL method is:

FOIL =

First

Outside

Inside

Last

, and is the order in which you do the problem.

(x + 5)(x + 6)

Follow FOIL. First, solve First (multiply x with x)

(x)(x) = x²

Next, multiply Outside (multiply x with 6)

(x)(6) = 6x

Then, multiply Inside (multiply 5 with x)

(5)(x) = 5x

Finally, multiply Last (multiply 5 with 6)

(5)(6) = 30

Combine like terms (terms with the same amount of variables, and the same variables)

x² + 6x + 5x + 30

x² + (6x + 5x) + 30

x² + 11x + 30

x² + 11x + 30 is your answer.

~

90.34 because you divide 29,560 and 12 and then the answer to that by 12 and then divide by 4 and then divide by 7 and round

Answer:

  The number of complex roots is 6.

Step-by-step explanation:

Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.

_____

The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.

Answer:

6

Step-by-step explanation:

The independent variable is manipulated or controlled by the experimenter and is usually placed on the horizontal axis of a graph. The dependent variable is the variable that is measured to see the effect of the independent variable and is usually placed on the vertical axis of a graph.

In a scientific study, the independent variable is the variable that is manipulated or controlled by the experimenter, and it is usually placed on the horizontal axis of a graph. The dependent variable is the variable that is measured to see the effect of the independent variable, and it is usually placed on the vertical axis of a graph.

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Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

Possible length of 3rd side would be between "x - y" and "x + y"

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

Answer:

its D between 30 and 150 just took test on ed got a 100

Step-by-step explanation:

Answer:

B. Systematic Random Sampling

Step-by-step explanation:

The process of systemic random sampling involves randomly selecting the starting point but the succeeding points will be based on the interval in between each point. The interval is computed by dividing the population by the sample size.

Answer:

B. Systematic Random Sampling

Step-by-step explanation:

none that i can explain

let's use those two endpoints in the line of (-5 , 2) and (5 , -1)

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-2}{5-(-5)}\implies \cfrac{-3}{5+5}\implies -\cfrac{3}{10}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-\cfrac{3}{10}[x-(-5)]\implies y-2=-\cfrac{3}{10}(x+5) \\\\\\ y-2=-\cfrac{3}{10}x-\cfrac{3}{2}\implies y=-\cfrac{3}{10}x-\cfrac{3}{2}+2\implies y=-\cfrac{3}{10}x+\cfrac{1}{2}[/tex]

Answer:

y=-(3/10)x+(1/2)

Step-by-step explanation:

Let

A(-5,2),B(5,-1)

step 1

Find the slope m

m=(-1-2)/(5+5)

m=-3/10

step 2

Find the equation of the line into slope point form

we have

m=-3/10

point A(-5,2)

y-2=(-3/10)(x+5) ----> equation of the line into slope point form

Convert to slope intercept form -----> isolate the variable y

y=-(3/10)x-(15/10)+2

y=-(3/10)x+(5/10)

simplify

y=-(3/10)x+(1/2)

Answer:

-5(t+3)(t-6)

Step-by-step explanation:

-5²+15+90

= -5(t²-3t-18)

= -5(t+3)(t-6)

10.50+4.50x=46.50

This is the fuction to use to solve the problem.

The function that can be used to find the number of rides he went on is

46.50 = 4.5x + 10.50

A linear equation is a mathematical expression involving variables raised to the first power only.

It takes the form ax+b=0, where

a and b are constants, and x is the variable.

Represent the number of rides he went on by x

the total amount on rides will be

4.5x

The entrance fee = $10.50

Total amount = 45x + 10.50

Therefore, the equation that represents the number of rides he went on is

46.50 = 45x + 10.50.

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Answer: x = 239

Step-by-step explanation:

You need to get rid of everything else except the x = #

So, to do that you need to take the -47 and add 47 on each side.

That would get you x = 239

Answer:

239

Step-by-step explanation:

X - 47 = 192

       X = 192 + 47

       X = 239

ANSWER

[tex]y= log_{x}(p)[/tex]

EXPLANATION

The given expression is

[tex] {x}^{y} = p[/tex]

We take logarithm of both sides to base x.

[tex] log_{x}( {x}^{y} ) = log_{x}(p) [/tex]

Apply the power rule of logarithms to get:

[tex]ylog_{x}( {x}) = log_{x}(p)[/tex]

Logarithm of the base is 1.

This implies that,

[tex]y( 1) = log_{x}(p)[/tex]

[tex]y= log_{x}(p)[/tex]

Answer:

a) If order matters, choices the player have = 5040

b) If order does not matter, choices the player have = 210

Step-by-step explanation:

n = 10, r = 4

When the order matters, its permutation.

permutation without repetition = P(n, r) =  [tex]\frac{n!}{(n - r)!}[/tex]

= [tex]\frac{10!}{(10 - 4)!}[/tex]

= [tex]\frac{10!}{6!}[/tex]

= 5040

When the order doesn't matter, its combination.

combination without repetition= C(n, r) = [tex]\frac{n!}{r!(n - r)!}[/tex]

= [tex]\frac{10!}{4!(10 - 4)!}[/tex]

= [tex]\frac{10!}{4! × 6!}[/tex]

= 210

If order matters, there are 5,040 different choices. If order does not matter, there are 210 different choices.

a) If order matters, the player has 10 choices for the first number, 9 choices for the second number (since it cannot be the same as the first), 8 choices for the third number, and 7 choices for the fourth number. Therefore, the total number of different choices is 10 * 9 * 8 * 7 = 5,040.

b) If order does not matter, the player is selecting a combination rather than a permutation. The number of combinations of four numbers chosen from a set of ten is given by the formula nCr = n! / (r!(n-r)!). In this case, n = 10 and r = 4, so the number of different choices is 10! / (4!(10-4)!) = 210.

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