A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find the value of x in the drawing below:

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)

Answer:

-x^2-2x+3

1/2x^2-2x-1

Step-by-step explanation:

Answer:I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

Answer:

I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

Answer:

you get 0.4 litres for every dollar

Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.

The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.

Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.

The scale is represented as a fraction as follows: measured on the map/measured in reality

In this case, you know that:

Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:

5 cm/ 120 miles= measured on the map/2320 miles

(5 cm/ 120 miles)× 2320 miles= measured on the map

96.667 cm= measured on the map

Finally, the length of the Mississippi River on the map is 96.667 cm.

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Answer:

He worked for 5.75 hours

Step-by-step explanation:

Answer: segments and rays

Step-by-step explanation:

Answer:

Answer:

They are equal

Step-by-step explanation:

Answer:

.007 is in the thousandths place.

Step-by-step explanation:

In decimals it goes tenths, houndredths, thousandths, and so on.

Answer:

a₂ = -3

a₃  = -1

Step-by-step explanation:

We have to  insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d    

1  + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2          ∵ d = 2

a₂  = -3

a₃ = a₁ + (3-1)d

a₃  = -5 + 2d

a₃  = -5 + 2(2)   ∵ d = 2

a₃  = -5 + 4

a₃  = -1

Thus,

a₂ = -3

a₃  = -1

Thus, the sequence becomes:

-5, -3, -3, 1

The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .

We have given two equation of lines -7x + 3y = 2    ....(1)  and -3x + 7y = 1 ....(2)        3y = 7x +2

                 y = 7x/3 +2

On comparing with slope intercept form y = mx + c , we get slope of equation (1)         m₁ =  7/3

      7y = 3x +1

        y = 3x /7 +1

On comparing with slope intercept form y = mx + c , we get slope of equation (2)        m₂ = 3/7

If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by

                    m₁ × m₂ = -1

                    7/3 × 3/7 = -1

                      1 ≠ -1

Hence the given lines are not perpendicular to each other.

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Answer:

The zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]

To find zeros, put f(x)=0

[tex]0=2x^2-17.5x+35.6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]

[tex]0=20x^2-175x+356[/tex]

switch sides

[tex]20x^2-175x+356=0[/tex]

subtract 356 from both sides

[tex]20x^2-175x+356-356=0-356[/tex]

[tex]20x^2-175x=-356[/tex]

divide both sides by 20

[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]

[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]

[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]

applying perfect square

[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]

[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=5.53[/tex]

also solving

[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]

[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=3.22[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Therefore, the zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Answer:

7

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Answer:

divid 1500 to 50

Step-by-step explanation:

Answer: 1500 0/0

Step-by-step explanation:

Answer:

I dont get itt

Step-by-step explanation:

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]

Answer:

9/2

Step-by-step explanation:

f(x)=5-1/2

plug in 4

f=9/2

9/2

The number of smaller pieces of land that can be sold at the stated size is 2^6

The given parameters are:

Total area = 2^15 square miles

Smaller piece = 8^3 square miles

The number of smaller pieces of land that can be sold at the stated size is

Number = Total area/Smaller piece

So, we have:

Number = 2^15/8^3

Rewrite as

Number = 2^15/2^9

Apply the law of indices

Number = 2^6

Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6

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Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Answer:

2/35

Step-by-step explanation:

fifteen total, 4 live in Gaston

so

4/15 times 3/14

because there is only 14 left to be selected and 3 left in Gaston

so 0.05714285714

or 2/35

Answer:

1 4/5

Step-by-step explanation:

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]