The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below.
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Part A
What are the actual lengths of the sides of the deck?

Part b

Decking cost $1.75 per square foot. How much will it cost to build the deck?

Answer:

y=0.5x-4 or y=[tex]\frac{1}{2}[/tex]x-4

Step-by-step explanation:

For this equation, it is mostly just rearranging variables.

We start with 3x-6y=24.

By subtracting 3x from both sides, you get -6y=-3x+24.

From there, dividing both sides by -6 leaves you with y=0.5x-4 aka y=[tex]\frac{1}{2}[/tex]x-4 depending what format is asked.

** You may want to revise simplifying linear equations and algebraic equations. I'm always happy to help!

Answer:

When  x =  -2     P  ( -2 ;  5)

When   x = -1       Q  (  -1 ; 2)

When   x  = 0       R  ( 0 ;  1)

Step-by-step explanation:

y =  x²  +  1

When    x  =  -2

y  =  ( -2)²  + 1        y  =  5     point  P  ( -2 ;  5)

When  x  =  -  1

y  =  (  -1)² + 1         y  =  2     point  Q  ( -1 ; 2 )

When x   =  0

y  =  (0)²  +  1         y  =  1      point   R  (  0 ;  1 )

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

Answer:

the Velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

According to the Question,

since the velocity of wind and plane is exactly opposite

[tex]V_{r} = V_{p} -V_{w}[/tex]  , where  [tex]V_{p}[/tex] is the velocity of plane = 150mi/hr and [tex]V_{w}[/tex] = velocity of wind = 50 mi/hr

Thus, the velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

a)

[tex](3x-4y+2z)^2\\=9x^2+16y^2+4z^2+2.3.(-4)xy+2.3.2xz+2.(-4).2yz\\=9x^2+16y^2+4z^2-24xy+12xz-16yz[/tex]

b)

[tex](4a+1)^3\\= 64a^3+3.(4a)^2.1+3.4a.1^2+1\\=64a^3+48a^2+12a+1\\[/tex]

Answer:

C

Step-by-step explanation:

Let find the measure of the angle supplementary to Angle 1.

[tex] \frac{123 + 84}{2} = 103.5[/tex]

Angle 1 is supplementary to that angle so

[tex]103.5 + x = 180[/tex]

[tex]x = 76.5[/tex]

Answer:

well then you fail and thats that

Step-by-step explanation:

Answer:

The letter P represents 1/8 on the number line

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Answer:

I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.

Step-by-step explanation:

Hope this helps

Answer:

s=0

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1) / x2-x1)

   -1 = (s-6)/(-3 - -9)

   -1 = (s-6)/(-3 +9)

   -1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0

Answer:

[tex] \large\sf \: s = 0[/tex]

Value of s is 0.

Step-by-step explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Answer:

For this case, the first thing you should observe is that you have a different function in two distinct intervals.

We have then:

For [-10, 2]:

The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)

For [2, 10]:

We have a constant function whose equation is:

y = 5

Answer:

D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.

Step-by-step explanation:

Answer:

A

because if you go to (-6,0) you can find that the line runs through there

Answer:

angle 3 = 79 degree

Step-by-step explanation:

given:

angle 1 = 98 degree

angle 2 : 19 degree

angle 3 =?

angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)

19 + angle 3 = 98

angle 3 = 98 - 19

angle 3 = 79 degree

Answer:

Its volume is 2 times the original volume.

Step-by-step explanation:

It cant be the first 2 because you are making it bigger, not smaller. and it cant be the last one because you are only doubling one of the parts.

Answer:

Step-by-step explanation:

its is the second one

Answer:

Ace here. What do you need help with?

Step-by-step explanation:

hope you can understand it properly

Answer:

The answer is D because when you plug in 0 for the x value, you get positive 2

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

Answer:

B. use a larger sample size

Step-by-step explanation:

the bigger the sample size, the more accurate the results are in stats.

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

Read more about leading coefficient at:

https://brainly.com/question/19624646

#SPJ6

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

Answer:

No

Step-by-step explanation:

The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Answer:

Step-by-step explanation:

Though the difference is the same, the original value is different. Therefore they are not the same.

Percentage increase from  50 to 70

                                                 [tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]

Percentage decrease from 70 to 50

                                                 [tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]

Answer:

[tex]\bar x = 3.0[/tex]

Step-by-step explanation:

Given

[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]

Required

The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]

[tex]\bar x = \frac{15.0}{5}[/tex]

[tex]\bar x = 3.0[/tex]

Respuesta:

24 horas

Explicación paso a paso:

El primer medicamento se toma cada 8 horas.

El segundo medicamento se toma cada 12 horas.

Para Obtian el momento en que ambos medicamentos se volverán a tomar juntos:

Encontramos el mínimo común múltiplo de 8 y 12

Múltiplos de:

8 = 8, 16, 24, 32, 40, 48, 56

12 = 12, 24, 36, 48, 60

El mínimo común múltiplo de 8 y 12 es 24.

Por lo tanto, ambos medicamentos se volverán a tomar después de 24 horas.

Answer:

r = -6

Step-by-step explanation:

-1 × -6 = 6

6 × -6 = -36

-36 × -6 = 216

Answer:

-6

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

6/ -1 = -6

Check the third term and divide by the second term

-36/-6 = -6

And the 4th divided by the third

216/ -36 = -6

The common ratio is -6

Answer:

-12

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Step-by-step explanation:

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