How do I find (rs)(4)=?
How do i also find (r/s)(3)=?

Answer: -561.6

Step-by-step explanation:

First, recall PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)

In the equation, we need to work through (2.5 - |-3 1/8|) first.

The absolute value of |-3 1/8| is 3 1/8

We change 3 1/8 to a decimal

3 1/8 = 3.125

Now Subtract (2.5 - 3.125)

This equals -0.625

Next, divide 13 by -0.625

13 ÷ -0.625 = -20.8

Then, multiply -20.8 by 3³

3³ = 27

So -20.8 × 27 = -561.6

 The equation that defines the parabola with vertex at the point and focus at (0, 1/2) is

y = 2x²

  The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

  The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0,  1/2) this is displaced on the y-axis upward, so the parabola is of the form.

y = x²

  Canonical equation

(y - yo) = 4p(x - xo)

Focus:
f = (0, 0 + p)

(y- 0) = 4*0.5(x - 0)²

y = 2x²

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One is a constant, as it has no variable besides it.

The value of an unknown number x will be equal to ( 15 / 4).

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 5 times, the difference between a number and 3 is x. The value of the unknown number will be calculated as:-

5 ( x - 3 ) = x

5x - 15 = x

4x = 15

x = 15 / 4

Therefore, the value of an unknown number x will be equal to ( 15 / 4).

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Area of triangle A is 72.2 cm square.

Here, we are given that triangles A and B, as shown in the figure are congruent to each other.

They are also both right angle triangles.

The length of the hypotenuse of A is 17cm

and the height of triangle be = 12cm

But as these two are congruent,

height of triangle A will also be 12cm.

Now, according to Pythagoras theorem,

[tex]hypotenuse^{2} = base^{2} +height^{2}[/tex]

[tex]17^{2}[/tex] = [tex]12^{2}[/tex] + [tex]base^{2}[/tex]

289 = 144 + [tex]base^{2}[/tex]

[tex]base^{2}[/tex] = 145

base = 12.04

Thus, the area of the triangles = 1/2 * base height

= 1/2 x 12 x 12.04

= 72.2

Thus the area of triangle A will be 72.2 cm square.

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Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

The formula used in converting temperature from Kelvin to Fahrenheit is expressed as;

(( x - 273.15 ) × 9/5 + 32)°F

Also, to convert temperature form Kelvin to Celsius, we use;

( x - 273.15)°C

Given that;

Convert 1 Kelvin to degrees Fahrenheit.

(( x - 273.15 ) × 9/5 + 32)°F

(( 1 - 273.15 ) × 9/5 + 32)°F

( 272.15 × 9/5 + 32)°F

( -489.87 + 32)°F

-457.87°F

Convert 1 Kelvin to degrees Celsius.

( x - 273.15)°C

( 1 - 273.15)°C

272.15°C

Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.

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Answer:its

a80

b16

c60

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. 5 × (7 + 2) = (5 × 7) + (5 × 2)

The decimal point should be moved two places to the right.

The number we have given is = 6.8

We have to find how many decimal point should be moved when 6.8 is multiplied by 100

We know that when we multiply a decimal number with 10, 100, 1000,…. and so on. We shift the decimal point to the right side according to the number of zeroes present.

According to the question, we have two zeroes therefore we will shift the decimal point to the rights side two times, that is,

      6.8 * 100 = 680

Hence the decimal point should be moved two places to the right.

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Step-by-step explanation:

or, 55° = (4x - 1)° [ vertically opposite angle ]

or, 55° + 1° = (4x)°

or, 56° = (4x)°

or, 56°/4° = x

or, x = 14°

Therefore the value of x is 14° .

In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

In the given statement is

Solve 2x + 5y = -1 for y.

To find the value of y when x= -2

Now, Equation is 2x + 5y = -1 …..(1)

Put the value of x = -2 in eq. 1

2 (-2) + 5y = -1

-4 + 5y = -1

5y = -1 + 4

y = 3/5

Again,  Solve 2xy - x = 3 for y

To find the value of y when x = 2

Now, Equation is : 2xy - x = 3 ….(2)

Put the value of x = 2 in eq. (2)

2(2)y - 2 = 3

4y - 2 = 3

4y = 5

y = 5/4

Hence, In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

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Answer:

g + h = 6

Step-by-step explanation:

We are told that:

• [tex]g + 9 = 4[/tex]

• [tex]h- 8=3[/tex].

To calculate the value of g + h, we have to rearrange the above equations to make g and h their respective subjects:

• [tex]g + 9 = 4[/tex]

⇒ [tex]g + 9 - 9 = 4 - 9[/tex]        [Subtracting 9 from both sides]

⇒ [tex]g = \bf -5[/tex]

• [tex]h- 8=3[/tex]

⇒ [tex]h - 8 + 8 = 3 + 8[/tex]        [Adding 8 to both sides]

⇒ [tex]h = \bf 11[/tex]

Now that we know the values of g and h, we can find the value of g + h:

[tex]g + h[/tex]

[tex]= -5 + 11[/tex]

[tex]= \bf 6[/tex]

Therefore the value of g + h is 6.

Answer:

$1.50

Step-by-step explanation:

there are 5 burgers since 2+3 is five. Divide 7.50 by five. The answer is 1.50.

$1.50

Because 2+3=5 and once you 7.5÷5 it equals 1.5.

Answer:

$805.32

Step-by-step explanation:

$116.20 + $494.85 + $194.27 = $805.32

He had $805.32 to start.

Answer: The input is a contradiction: it has no solutions

1st step

4m - 4 = 4m

4m - 4 + 4 = 4m + 4

2nd step -

4m = 4m + 4

3rd step -

4m = 4m +4

4m - 4m = 4m + 4 - 4m

4th step -

Combine like terms

0 = 4

Has No Solutions.

Answer:

Step-by-step explanation:

93959453

Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

Describe the trapezoid shape.

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Step 1 - Draw line DP.

Step 2 - Use a protractor to create a 50° angle with DP'.

Step 3 - Use a ruler to draw D such that DP' = DP

Step 4 - Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .

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The measure of the sides of ΔJKL is  17.26 units.

So,

The formula of perimeter: √√(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

Then, each side of the triangle will be: 17.26 units

Therefore, a measure of the sides of ΔJKL is  17.26 units.

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Answer: 8 feet

Step-by-step explanation:

Answer:

[tex]1) \: {2}^{3} \\ 2) \: {3}^{6} \\ 3) \: {4}^{4} = 4 \times 4 \times 4 \times 4 = 256[/tex]

Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.

Nina's speed can also be defined as her Average Speed.

Similarly, Sophias's speed can also be defined as her Average Speed.

We have Sophia's speed = 10 miles in hour = 10 miles per hour

What is average speed and average?

Average speed is the total distance travelled by an object to the total time taken. means,

[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]

Total Distance covered by Nina = 63,360ft.

[tex]1 \ mile = 5280 \ feet\\[/tex]

So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]

Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]

Nina's Average Speed =  [tex]\frac{12}{0.944}= 12.711 \ miles/hour[/tex]

So, Nina's Average Speed = 12.711 miles per hour

Since, Sophia's Average Speed = 10 miles per hour

Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.

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Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.

Nina's speed can also be defined as her Average Speed.

Similarly, Sophias's speed can also be defined as her Average Speed.

We have Sophia's speed = 10 miles in hour = 10 miles per hour

What is average speed and average?

Average speed is the total distance travelled by an object to the total time taken. means,

[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]

Total Distance covered by Nina = 63,360ft

1 mile = 5280 feet

So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]

Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]

Nina's Average Speed =  [tex]\frac{12}{0.944}= 12.711 \ miles \ / \ hour[/tex]

So, Nina's Average Speed = 12.711 miles per hour

Since, Sophia's Average Speed = 10 miles per hour

Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.

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The total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.

We are given that:

The cost of lunch = $ 32

Sales tax = $ 4.45

Tip = 20 %

So, the tip will be calculated by finding the percentage of cost that you are planning to pay has a tip.

Tip = 20 % of $ 32

Tip = 20 / 100 × $ 32

Tip = 0.2 × $ 32

Tip = $ 6.4

Total amount needed to be paid for the lunch = $ 32.00 + $ 4.45 + $ 6.40

Total amount = $ 42.85

Therefore, we get that, the total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.

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Answer:

m = undefined

Step-by-step explanation:

I'm assuming it's "m" as in y=mx+b

(18, -7), (18, 2)

(x₁, y₁)    (x₂, y₂)

       y₂ - y₁          2 - (-7)           9

m = -----------  =  ------------  =  ----------  =  undefined

        x₂ - x₁          18 - 18            0

I hope this helps!

The answer to all the subparts are given:

(A) (f · g)(x):

So,

Plug in:

Simplify as follows:
[tex]\begin{aligned}&(f X g)(x)=\frac{1}{x}(x(x+5)) \\&(f X g)(x)=x+5\end{aligned}[/tex]

(B) Domain:

First, we will determine the domain of f(x), g(x), and (fxg) (x).

Then we can look for a common domain.

The domain of f(x):

At x=0, we know that f(x) is undefined.

As a result, the domain will be:

The domain of g(x):

[tex]g(x)=x^2+5 x[/tex]

Because it is polynomial.

As a result, the domain will be:

(C) Range:

First, we will determine the range of f(x), g(x), and (fxg) (x).

Then we can determine the common range.

f(x) range:

We know that range refers to all possible y values for which x is defined.

Because the horizontal asymptote will be at y=0.

As a result, the range is:

Range of g(x):

Because it is a quadratic equation.

As a result, its range will be:

We can now find a common range.

As a result, the range will be:

[tex](-6.25,0) \cup(0, \infty)[/tex]

Therefore, the answer to all the subparts are given:

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Answer:

|(10)-19| = |-9| = 9

Step-by-step explanation: Just plug it in. Oh btw the absolute value means distance from 0.

Answer: the original price of the ticket was $42

Step-by-step explanation:

[tex]Let's\ make\ a\ proportion:[/tex]

$44.92 - 107%

     $x   - 100%

[tex]\displaystyle\\x=\frac{44.92*100}{107} \\\\x=\frac{4492}{107} \\\\x=42[/tex]