As head of the Parks Department, Jada has been tracking the park’s use of different supplies over the last several years. Her research shows that, up through last year, the park’s total water usage per year was 13,505 gallons for all regular days, plus another 18.5 gallons for each special event hosted by the park. How many special events did the park host last year? Show your work.

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°

the side across from 90° (the hypotenuse) is double the side across from 30°

9514 1404 393

Answer:

  408.4 in²

Step-by-step explanation:

The lateral area of a cone is ...

  LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height

Using the given dimensions, the area of the hat is ...

  LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²

The surface area is about 408.4 in².

Answer:

102 degrees

Step-by-step explanation:

Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.

41+37+x = 180

78 + x + 180

x = 102

Answer:

I think this is the answer 36 unit

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

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The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Answer:

$630

Step-by-step explanation:

week 1 : $336

week 2 : $294

gross pay : $630

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

Answer:

5.66

Step-by-step explanation:

(-1,-3) (-5,1)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-1)]² + [1 - (-3)]²

√(-4)² + (4)²

√(16) + (16)

√32

= 5.66

Answer:

option : x is positive

Step-by-step explanation:

[tex]log_2 x = y => x = 2^y[/tex]

Therefore, x is always positive

Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

Answer:

c

Step-by-step explanation:

An input can only have one output.

Answer:

5/9

Step-by-step explanation:

You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.

This means that out of the 9 marbles that you have left, 5 of them are gold.

This means you have a 5/9 chance of drawing a gold marble next.

Answer: x = 7/3

Step-by-step explanation:

You join the X’s first which will give you

6x-14 = 0

Then you move the 14 to the right

6x = 14

Then you dived them and it give you 7/3

Hope this helped

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]

Answer:

11x^2+4x-6

Step-by-step explanation:

[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]

Remember

Here

there is no starting or ending point

so domain is

(-oo,oo)

The domain of the absolute value function given is (-∞, +∞).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of a function is the set of all the input values and the range of the function is the set of all the output values.

Given is an absolute value function.

Absolute value functions are functions which has the absolute value symbols in the expression.

From the graph, we can see that the value of x moves from negative infinity to infinity.

Domain of the function is the set of input values which is the set of values of x.

So the domain is (-∞, +∞).

Hence the domain is (-∞, +∞).

Learn more about Absolute Value Function here :

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Sample Answer:

2x^12

Step-by-step explanation:

So whenever an exponent is to an exponent, simply multiply the exponents together:

(2x^3)^4 --> 2x^12

This simplified form of the question is a new, equivalent expression.

Multiply the original by the first 50% discount:

40,000 x 0.5 = 20,000

Now multiply that by the second 50 % discount:

20,000 x 0.5 = 10,000

The price would be 10,000 rupees

Answer:

Step-by-step explanation:

[tex]\frac{50}{100}[/tex] × 40 000 = 20 000

Answer:

382 in ^3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

y = 1/7x + 3

Step-by-step explanation:

Graph

P1(-7,2)

P2(0,3)

m = y2-y1/x2-x1

m = (3-2)/(0-(-7))

m = 1/0+7

m = 1/7

y - y1 = m(x-x1)

y - 2 = 1/7*(x -(-7))

y-2 = 1/7*(x+7)

y = 1/7x+7*1/7+2

y = 1/7x+1+2

y = 1/7x+3

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

Answer:

either take the value as 3.14 or press     SHIFT      x10^x

Answer:

15.85%

Step-by-step explanation:

Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.

Given mean (μ) = 41 months, standard deviation (σ) = 5 months

One standard deviation = μ ± σ = 41 ± 5 = (36, 46)

Therefore 68% falls within 36 months and 41 months

Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)

Therefore 95% falls within 31 months and 51 months

Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)

Therefore 99.7% falls within 26 months and 56 months

The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%

Answer:

x = {2, 8}

Step-by-step explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}

Answer:

x = 8, -2

Step-by-step explanation:

[tex](x-3)^2=25[/tex]

[tex](8-3)^2=25[/tex]          Substitute x for 8 the subtract 8 - 3

[tex](5)^2=25[/tex]                Multiply 5 by 5

[tex]25=25[/tex]

[tex](x-3)^2=25[/tex]

[tex](-2-3)^2=25[/tex]       Substitute x for -2 then subtract -2 - 3

[tex](-5)^2=25[/tex]             Multiply -5 by -5

[tex]25 = 25[/tex]