Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.

a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"

Answer:

y = -4

Step-by-step explanation:

When y is directly proportional to x,

= y ∝ x

= y = kx

Finding k

the value of y = -2 when x = 4

-2 = k4

k = -2/4

k = -1/2

. What is the value of y when x = 8

Finding y

y = kx

y = -1/2 × 8

y = -4

Answer:

Step-by-step explanation:

pN = 64/100 = 0,64 = 64%

pW = 80/100 = 0,8 = 80%

The planes of Waxwing airlines are more punctual

Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

σ = √σ²

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Answer:

7/100

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 70 and 100 is 10

Divide both the numerator and denominator by the GCD

70 ÷ 10

100 ÷ 10

Reduced fraction:

7

10

Therefore, 70/100 simplified to lowest terms is 7/10.

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

Answer:

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Step-by-step explanation:

La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo

cos α   (  α  angulo que forma la escalera con el piso )

cos α =   x / L

Tomando derivadas con respecto al tiempo (L es constante ) se tiene:

- sen α  *  dα / dt   =  dx/ dt / L

Cuando  el extremo superior de la escalera está a 18 pies del piso, entonces  sen α  =  18 / 30  =  0.6

dx/dt = 1/2 pie/sec

dα/dt  = - (1/2)/ L* 0.6

dα /dt  = -  0.5 / 18

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Answer: 4/5

Step-by-step explanation:

Answer:

[tex]2^2+2+6^2[/tex]

Step-by-step explanation:

Answer:

From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.

Step-by-step explanation:

Write as a number equation ---->  2 - (-6) = 8

Answer:

the answer is 90

Step-by-step explanation:

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct

Answer:

c

Step-by-step explanation:

Answer:

D, a sentence that includes only one independent clause

Step-by-step explanation:

A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.

This isn't a math question but idrc

Answer:

Answer is D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1.) Multiply Denominator:

9x3= 27

27 will be your new denominator for your answer.

then take 5 and multiply by 3.

5x3=15

then take 1 and multiply by 9.

1x9=9

Afterwards, you plus 15 and 9 to get 24.

so your fraction for the end will be 24/27.

Answer:

g(x) = (2x)²

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

h + h

h=2

2+2

4

Answer:

As seen on the picture, all the steps A to D are correct.

Note:

Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = a³ (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

Answer:

53

Step-by-step explanation:

one angle is 37

the triangle means one is 90

a trianlge always = 180 total so

(37+90)-180

=53