The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, hcf). the cost for using 18 hcf of water is $39.67, and the cost for using 37 hcf is $69.12. what is the cost for using 21 hcf of water?

Answer:

(1,3)

Step-by-step explanation:

You can use the distance formula to help you solve the answer

Answer:

(1; 3)

Step-by-step explanation:

x = (-1 + 3)/2 = 1

y = (6 + 0)/2 = 3

[tex] \huge\underline\mathcal{Answer \: -} [/tex]

We know that ,

exterior angle equals sum of two interior opposite angles.

therefore ,

[tex]\bold{x + x + 14 = 136\degree} \\ \\ \longrightarrow \: 2x + 14 = 136\degree \\ \\ \longrightarrow \: 2x = 136\degree - 14 \\ \\ \longrightarrow \: 2x = 122\degree \\ \\ \longrightarrow \: x = \cancel\frac{122}{2} \\ \\ \longrightarrow\boxed{ \: x = 61\degree}[/tex]

hence , the first option is correct.

hope helpful ! ;-;

Answer:

First find the last angle of the triangle.

180 - 136 = 44° (sum of angles on a straight line=180)

Form an equation with the unknown angles with the knowledge that sum of angles in a triangle add up to 180°.

x + (x + 14) + 44 = 180

Simplify and solve for x.

2x + 58 = 180

2x = 122

x = 61

The acute angle between the hypotenuse and the other leg changing at the instant when both legs are 1 cm is dθ/dt = -b - a/[tex]\sqrt{2}[/tex] fast.

Differentiation is a process to find the instantaneous rate of change in function based on one of its variables.

The hypotenuse of a right triangle is growing at a constant rate of a centimeters per second

[tex]\frac{dH}{dt} = a[/tex]

One leg is decreasing at a constant rate of b centimeters per second

[tex]\frac{dy}{dt} = -b[/tex]

From the right triangle

sin θ = [tex]\frac{y}{H}[/tex]           (y is the perpendicular and H is the hypotenuse)

Differentiate both sides with respect to t

cos θ*dθ/dt = (H*dy/dt - y*dH/dt) / H²

cos θ*dθ/dt =  [H(−b)−y(a)] / H²........................(1)

If the both legs are 1 cm.

∴ H= [tex]\sqrt{ 2[/tex],cosθ=sinθ=1/[tex]\sqrt{2}[/tex]

Thus , Equation (1)

cos θ*dθ/dt =  [H(−b)−y(a)] / H²

1/√2*dθ/dt = [√2 (−b)−(a)] / 2

dθ/dt = √2  [(√2 (−b)−(a)) / 2]

Therefore, we can conclude that the acute angle between the hypotenuse and the other leg changing at the instant when both legs are 1 cm is dθ/dt = -b - a/[tex]\sqrt{2}[/tex] fast.

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A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

With this in mind we conclude that:

There are 8 values in the data set which are greater than or equal to 20 and less than or equal to 29. This comes from the fact that we have to count how many leafs are in the stem 2.

There are 6 values in the data set which are greater than or equal to 10 and less than or equal to 19. This comes from the fact that we have to count how many leafs are in the stem 1.

There are 14 values in the data set which are greater than or equal to 40 and less than or equal to 49. This comes from the fact that we have to count how many leafs are in the stem 4.

Answer:

y=2x+6

y=2x+6

Explanation:

Given the equation:

The equation written as a system of equations is:

Opening the bracket in the first equation gives:

Answer:

32x – 72

OR

–72 + 32x

Step-by-step explanation:

To use the Distributive Property, just simply follow my steps:

Write the equation:

–8(9 – 4x)

To distribute, multiply the numbers inside the parenthesis by the number outside of the parenthesis SEPARATELY. It should look like this:

(–8 • 9)(–8 • –4x)

(–72)(32x)

Since the 32 is positive, the equation could be written either way:

–72 + 32x

OR

32x – 72

If you want the equation to be fully solved...

Set the equation equal to zero:

32x – 72 = 0

Isolate the variable. Subtract 72 from both sides:

32x – 72 + 72 = 0 + 72

32x = 0 + 72

32x = 72

Divide:

32x/32 = 72/32

x = 9/4 (Improper Fraction Form)

OR

x = 2 (and) 1/4 (Mixed Number Form)

Convert 9/4 to a decimal:

x = 9/4

x = 2.25

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Step 1

Given;

Required; To find the measure of angle F

Step 2

Answer;

If two angles be 10x + 5 and 15x - 30 then the value of x = 7.

Let the two angles be 10x + 5 and 15x - 30.

simplifying the above two equations, we get

10x + 5 = 15x - 30

Subtract 5 from both sides

10x + 5 - 5 = 15x - 30 - 5

Simplifying the above equations,

10x = 15x - 35

Subtract 15x from both sides of the equation

10x - 15x = 15x - 35 - 15x

Simplifying the above equation, we get

-5x = -35

Divide both sides by -5

[tex]$\frac{-5 x}{-5}=\frac{-35}{-5}[/tex]

x = 7

Therefore, the value of x = 7.

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Answer:

p = 3

Step-by-step explanation:

y = mx + b They gave us the slope of -1.  We need to find the y intercept.  We will use the x of 9 and the y of 2 to find b.  We will plug these numbers in to find b.

y = mx + b

2 = -1(9) + b

2 = -9 + b  Add 9 to both sides

11 = b

y = -x +11

Now, plug in 8 for x

y = -1(8) + 11

y = -8 + 11

y = 3

In this case p is 3.

Yes, you are right!

First of all, we will subtract [tex]5[/tex] from each side.

Then we multiply both sides by [tex]4[/tex].

Then add [tex]3[/tex] to each side.

Finally, we divide each side by [tex]2[/tex].

[tex]\boldsymbol{\sf{\cfrac{2x-3}{4}+5=10 }}[/tex]

Multiply the two sides of the equation by 4.

2x - 3+20 = 40

Add −3 and 20 to get 17.

2x+17 = 40

It remains 17 on both sides.

2x = 40−17

Subtract 17 of 40 to get 23.

2x = 23

Divide both sides by 2.

[tex]\boldsymbol{\sf{x=\dfrac{23}{2} \ \ \longmapsto \ Answer }}[/tex]

Answer:

y = -x

Step-by-step explanation:

Answer: Y=-X

Step-by-step explanation:

The factors of the given monomial are given below

What is a monomial?

A monomial is, broadly speaking, a polynomial with just one term in mathematics. There are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variable x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer. If many variables, say x,y,z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a,b,c non-negative integers.

The factors of the monomial 16x²y are 2.2.2.2.x.x.y

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The factors of the monomial are given below

What is a monomial?

A monomial is, broadly speaking, a polynomial with just one term in mathematics. there are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variables x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer, if many variables, say x, y, z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a, b, c non-negative integers.

The factors of the monomial 16x²y are 2.2.2.2.x.x.y

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Solution

The question would like us to evaluate the following expression

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

Also,

Thus, combining both results, we have:

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

Answer:

x = 18

The number is 18.

Step-by-step explanation:

Convert the words into an equation.

let x;

( 3x - 10 )( 2 ) + 2 = 5x;

6x - 20 + 2 = 5x;

6x - 18 = 5x;

Subtract both sides by 5x.

6x - 5x - 18 = 5x - 5x;

x - 18 = 0;

Add 18 to both sides.

x - 18 + 18 = 18;

x = 18;

Albert borrowed $17 from his friend.

Given,

Albert brought some items:

Cost of blanket = $32.75

Cost of pillow = $12.75

Cost of glove = $16.25

Amount paid by Albert = 50

Amount borrowed by Albert from his friend = x

Cashier gave back the change = $5.25

We have to find the amount borrowed by Albert from his friend:

This is simply arithmetic operations:

Total cost in shop = 32.75 + 12.75 + 16.25 = $61.75

Total amount given to the cashier = 61.75 + 5.25 = 67

Amount borrowed by Albert from his friend = Total amount given to the cashier - Amount paid by Albert

x = 67 - 50

x = 17

That is,

Albert borrowed $17 from his friend.

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Answer:

E

Step-by-step explanation:

[tex]\sqrt{144} = 12\\ \frac{234}{3}= 78\\[/tex]

12, 68.12, 78

Answer:  22:2, 33:3 and, 44:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

22 : 2

33 : 3

44 : 4

Point D is the centroid of ΔABC, since we know that A.F, BC, and CE are all medians.

A median of a triangle is the line segment that connects the vertex of a triangle to the midpoint of the opposite side. There are usually three medians of a triangle.

The point where the three medians of a triangle intersect each other or meet at is referred to as the centroid of the triangle.

The diagram shows a triangle with three medians that meets at point D in the triangle. Therefore, point D is the centroid of the tringle because lines A.F, BC, and CE are all medians of the given triangle.

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Answer:

C. No because two points with the same x-value have different y-values.

Step-by-step explanation:

(view my screenshot attachment too please)

A function can't have same x-values that appear for multiple different y-values.

In the diagram, (10, 6) and (10, 9) indicate that it isn't a function.

This is because the same 10 appears twice (x-value) but with multiple different y-values (6 and 9).

At x=0

at x=1

at x=2

a=1/2

So correct option is (c).

So we want to find the vertical asymptotes of the function:

Remember that there's a vertical asymptote at points of x where the denominator of the rational function is 0.

So, equal the denominator to zero:

And solve this equation for x as follows:

We could factor

Now, notice that any of both factors could be zero, so:

Therefore, the function has vertical asymptotes at x=6 and x=3.

The number of times one needs to use completely filled cone to completely fill the cylinder with water is 24

The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.

Given that radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters.

The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

The volume of cylinder is πr²h

For a volume of cone it is 1⁄3πr²h.

So volume of cylinder = 22/7×(10)2×20=3.142×100×20

=6284

volume of cone it is 1⁄3πr²h=1/3×3.142×(5)^2×10=261.16

Number of times one needs to use the completely filled cone to completely fill the cylinder with water =

= Volume of cylinder/Volume of cone

6284 / 261.16 = 24

Hence the number of times one needs to use completely filled cone to completely fill the cylinder with water is 24

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The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

Equation:

An equation is the mathematical statement which is made up of two expressions connected by an equal sign.

For example, 3x – 2 = 16 is an equation.

Given,

There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.

On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.

So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.

To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.

So, the equation to calculate the cost of pizza,

=> number of items sold x cost.

Here we have to write the equation for three types and we have to find the total cost for it,

So, the equation is looks like,

=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

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Answer:

p(-1) = 7

p(2) = -2

Step-by-step explanation:

We have p(x) = 4 - 3x

p(-1) = 4 - 3(-1) = 4 + 3 = 7

p(2) = 4 - 3(2) = 4 - 6 = -2

Answer:

10 : 0.02 (20m)

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

How are polynomials and non-polynomials categorized?

There are two ways to categorize polynomials: by degree and by number of terms. According to degree, polynomials can be classified as zero, linear, quadratic, or cubic. Monomials, binomials, trinomials, etc. are the different types of polynomials based on the quantity of terms.

A polynomial is, in general, an expression containing more than one term and non-negative integral exponents of a variable. A polynomial expression might look like this: ax + by + ca, x3 + 2x + 3, etc.

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Answer:

6

Step-by-step explanation:

Trust

The value of i where remainder of n/ 4 is 2 is :

i² = -1 .

i² = -1

i⁰ = 1

i¹ = i

i² = -1

i³ = i² x i

  = -1 x i

  = -i

i⁴ = i² x i²

   = -1 x -1

   = 1

The pattern repeats.

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