the cost of using 19 hcf of water is $36.48 and the cost of using 32 hcf is 56.63 what is the cost of using 28 hcf of water?
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Answer:

See answers below

Step-by-step explanation:

Given the following functions:

r(x) = x - 6

s(x) = 2x²

r(s(x)) = r(2x²)

Replacing x with 2x² in r(x) will give;

r(2x²) = 2x² - 6

r(s(x)) = 2x² - 6

(r-s)(x) = r(x) - s(x)

(r-s)(x) = x - 6 - 2x²

Rearrange

(r-s)(x) = - 2x²+x-6

(r+s)(x) = r(x) + s(x)

(r-s)(x) = x - 6 + 2x²

Rearrange

(r-s)(x) = 2x²+x-6

9514 1404 393

Answer:

  A.  G(x) = ∛(x -1) +1

Step-by-step explanation:

The transformation f(x-h) +k represents a translation (right, up) by (h, k) of the parent function f(x).

Your translation of f(x) = ∛x by (1, 1) will give you the function ...

  G(x) = ∛(x -1) +1

Answer:

u = 2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos 45 = sqrt(2) / u

u cos 45 = sqrt(2)

u = sqrt(2) / cos 45

u = sqrt(2) / 1/ sqrt(2)

u = sqrt(2) * sqrt(2)

u =2

u=2

Answer:

Solution given:

Cos 45°=base/hypotenuse

[tex]\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{u}[/tex]

doing crisscrossed multiplication

[tex]\sqrt{2}*\sqrt{2}=1*u[/tex]

u=2

9514 1404 393

Answer:

Step-by-step explanation:

a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).

  pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)

  pmt ≈ $68,995.13 . . . . annual payment

__

b) After the first payment, the account balance is ...

  $500,000 -68,995.13 = $431,004.87

After subsequent payments, the account balance will be ...

  $431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment

  $396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment

The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:

  X = $359,214.21 × (0.08/12) = $2394.76

Answer:

The total number of ways is 252.

Step-by-step explanation:

Number of girls = 18

number of boys = 14

Commitee of one girl and a boy

(18 C 1)(14 C 1)

= 252

Answer:

the measurement of N is D, 81.

Step-by-step explanation:

The angle measurement of a Right Angled Triangle is 90 degrees. And based off the angle dimension given in the image above ( 9 degrees ), you need to subtract 90 ( the angle dimension of the triangle) with the angle dimension given (9 degrees) which gets you to an answer of 81 degrees.

Answer:

52 is (a)

55 is.( d)

56. is (d)

Answer:

Maximum = 19

Minimum = 4

Median = 12

Step-by-step explanation:

The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19

Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.

The Median value : 4, 9, 14, 19

The median = 1/2(n+1)th term

1/2(5)th term = 2.5 th term

Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones

Given:

The rational function is:

[tex]f(x)=\dfrac{5-x}{x^2+5x+6}[/tex]

To find:

The points on the graph at the function value [tex]f(x)=3[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{5-x}{x^2+5x+6}[/tex]

Substituting [tex]f(x)=3[/tex], we get

[tex]3=\dfrac{5-x}{x^2+5x+6}[/tex]

[tex]3(x^2+5x+6)=5-x[/tex]

[tex]3x^2+15x+18=5-x[/tex]

Moving all the terms on one side, we get

[tex]3x^2+15x+18-5+x=0[/tex]

[tex]3x^2+16x+13=0[/tex]

Splitting the middle term, we get

[tex]3x^2+3x+13x+13=0[/tex]

[tex]3x(x+1)+13(x+1)=0[/tex]

[tex](3x+13)(x+1)=0[/tex]

Using zero product property, we get

[tex](3x+13)=0\text{ or }(x+1)=0[/tex]

[tex]x=-\dfrac{13}{3}\text{ or }x=-1[/tex]

Therefore, the required values are [tex]-\dfrac{13}{3},-1[/tex].

Answer:

The rate of change of f(x) is faster than the rate of change of g(x).

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

*Note:

Rate of Change is determined by slope.

Step 1: Define

f(x) = 3x + 5

↓ Compare to y = mx + b

Slope m = 3

g(x) = 2x + 5

↓ Compare to y = mx + b

Slope m = 2

Step 2: Answer

We can see that the slope of f(x) is greater than g(x).

∴ the rate of change of f(x) would be greater than g(x).

what? ;-;.............

Answer:

Step-by-step explanation :

Let % increase in administrative secretary be = x

Let % increase in new faculty receive be = y

Administrative secretary salary = 28,000

New faculty receive Salary = 40,000

(8)*(x/100)* (28000) + (7)*(y/100)*(40000) = 5,000

2240x +2800 y = 5,000

224x +280 y = 500

56x +70y = 125

Therefore, x and y should be chosen such that it satisfy the above equation.

Answer:

432x^13

Step-by-step explanation:

(4x^2)^2 • (3x^3)^3

We know that a^b^c = a^(b*c)

4^2 x^2^2  * 3^3 x^3^3

16 x^4  * 27 x^9

We know that a^b ^ a^c = a^(b+c)

16*27 x^(4+9)

432x^13

Answer:

432x¹³

Step-by-step explanation:

( 4x² ) ² • ( 3x³ ) ²

( 16x²)² • ( 27x³)²

[tex]16 x{}^{2 \times 2} \times 6 {}^{3 \times 3 } \\ 16x {}^{4} \times27 {}^{9} [/tex]

[tex](16 \times 27)x {}^{4 + 9} [/tex]

432x¹³

Answer:

Symmetric with respect to the x-axis

Symmetric with respect to the y-axis

Symmetric with respect to the origin

Answer:

-2,2

Step-by-step explanation:

Let

[tex]y_1=4x^2-c^2[/tex]

[tex]y_2=c^2-4x^2[/tex]

We have to find the value of c such that the are of the region bounded by the parabolas =32/3

[tex]y_1=y_2[/tex]

[tex]4x^2-c^2=c^2-4x^2[/tex]

[tex]4x^2+4x^2=c^2+c^2[/tex]

[tex]8x^2=2c^2[/tex]

[tex]x^2=c^2/4[/tex]

[tex]x=\pm \frac{c}{2}[/tex]

Now, the area bounded by two curves

[tex]A=\int_{a}^{b}(y_2-y_1)dx[/tex]

[tex]A=\int_{-c/2}^{c/2}(c^2-4x^2-4x^2+c^2)dx[/tex]

[tex]\frac{32}{3}=\int_{-c/2}^{c/2}(2c^2-8x^2)dx[/tex]

[tex]\frac{32}{3}=2\int_{-c/2}^{c/2}(c^2-4x^2)dx[/tex]

[tex]\frac{32}{3}=2[c^2x-\frac{4}{3}x^3]^{c/2}_{-c/2}[/tex]

[tex]\frac{32}{3}=2(c^2(c/2+c/2)-4/3(c^3/8+c^3/28))[/tex]

[tex]\frac{32}{3}=2(c^3-\frac{4}{3}(\frac{c^3}{4}))[/tex]

[tex]\frac{32}{3}=2(c^3-\frac{c^3}{3})[/tex]

[tex]\frac{32}{3}=2(\frac{2}{3}c^3)[/tex]

[tex]c^3=\frac{32\times 3}{4\times 3}[/tex]

[tex]c^3=8[/tex]

[tex]c=\sqrt[3]{8}=2[/tex]

When c=2 and when c=-2 then the given parabolas gives the same answer.

Therefore, value of c=-2, 2

Answer:

15/16 (93.75%)

Step-by-step explanation:

List of Possible Combinations:

BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG

As you can see, only 1 out of 16 of the possible combinations is all boys. This means that the chance of at least 1 girl among the 4 children is 15 out of 16 (15/16) or 93.75%

Answer:

3000

growth

2.2%

Step-by-step explanation:

The width of the actual garden patio according to the scale drawing is 14 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the scale of 1 cm : 2 m

For a patio of 7 cm, then:

Actual patio = 7 cm / (1 cm/ 2m) = 14 m

The width of the actual garden patio according to the scale drawing is 14 meters.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

Answer:

D represents a proportional relationship

Step-by-step explanation:

Proportional graphs always intersect with zero

Answer:

a1 = 24

an = an-1 × 1/2, n >1

Step-by-step explanation:

a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.

so, we multiply 24 by something to get 12.

and then 12 by the same something to get 6.

and then 6 by the and something to get 3.

do you see the pattern ? hmmm ?

right, we always divide by 2 (or multiply by 1/2).

the starting value a1 = 24

so,

an = an-1 × 1/2, n>1

or

[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]

n>1

Step-by-step explanation:

24. = 249030/30

=8,301 rs

Answer:

24. 8301, divide 249030 by 30

25. 9989001, but i dont know the property

Step-by-step explanation:

Answer:

80 Seconds

I dont really want to type the whole thing out, just think about it again, or go to a tutor website, you should be able to get it, you have to use these, multiplication of three numbers, and multiplication and division by factorization of numbers.

Answer:

A. multi-way split.

Step-by-step explanation:

Multi way split consists of internal at decision tree branches. Gini index measures probability of impurity in the random variables chosen. Entropy is measure of uncertainty in the sample selected. Binary splitting is used to speed up numerical evaluation.

Answer: 80

Step-by-step explanation:

Answer:

$1.65

Step-by-step explanation:

or

Answer:

option D (5 6 8 9) is the answer

Answer:

X [tex]\Longrightarrow -8\Longrightarrow -1\Longrightarrow 1\Longrightarrow 8[/tex]

Y[tex]\Longrightarrow 5\Longrightarrow 6\Longrightarrow 8\Longrightarrow 9[/tex]

[tex]Answer\hookrightarrow D)[/tex]

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Hope it helps...

Have a great day!!