Discussion 3.6.1

Taxi fares depend on distance, when the distance is less. than 2km the face remains 8 dollars; when the distance is more than 2km the fare increase by 2 dollars. for every additional 1 km.

What kind of slope(s)? (undefined, 0, positive and/or negative) And what axis would be right for witch Variable?

C) 537 square feet is the approximate surface area of this right prism with triangular bases.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given, A right prism has a triangular base.

From the general formula of surface area

Surface area of triangle = 1/2 * base * height

The surface area of the rectangle = length * width

in our case,

Surface area of the triangle =  1/2 * base * height

Surface area of the triangle =  1/2 * 10 * 8.7

Surface area of the triangle =  1/2 * 87

The surface area of the rectangle = length * width

The surface area of the rectangle =  15 * 10

The surface area of the rectangle = 150

Since surface area of rectangle prism = 3 * area of rectangle + area of triangle * 2

Thus,

the surface area of rectangle prism =3 * 150 + 2 * 1/2 * 87

surface area of rectangle prism = 450 + 87 = 537

Therefore, 537 square feet is the approximate surface area of this right prism with triangular bases.

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The number of wireless speakers that must be produced and sold in order for the company to break even is 186 and the profit function can be given as 62n -11200.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given;

A company sells wireless speakers for $140 each,

cost of $78 per wireless speaker and the fixed cost is $11200,

Write the function of cost as shown below,

Cost price = 11200 + 78n

Here, n is the number of speakers

Calculate the profit as shown below,

profit = 140n - 11200 - 78n

profit = 62n -11200

Calculate the breakeven point as shown below.

62n -11200 = 0

n = 11200 / 62

n = 180.6

n = 181

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A parabola with focus of (-8, 6) and a directrix of y = 0. has the equation of the parabola as (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-8, 6)

h = -8

k + p = 6

P in this problem, is the midpoint between the focus and the directrix

P = (6 - 0) / 2 = 3

p = 3

the vertex

v(h, k)

h = -8

k + p = 6, k = 3

v(h, k) = v(-8, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - (-8))² =  4 * 3 (y - 3)

(x + 5)² =  8 (y - 3)

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The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

[tex]h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}[/tex]

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Which symbol replaces ? to make the statement true?

2 x 18 - 18 ? 2 x [28-3 x (2+4)]

will mark brainliest and will give thanks

the answer : <

The only expression that cannot be simplified using the quotient rule for exponents is; Option D: q⁻⁵r¹¹ / s⁷t⁻¹⁵

The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. For example, xᵃ/xᵇ = xᵃ⁻ᵇ

A) (3²)(9⁻¹)(2³)/(8⁵)(7⁻²)

This can be re-expressed in terms of factors as;

(3²)(3⁻²)(2³)/((2³)⁵)(7⁻²)

= (3²⁻²)/((2³)⁴(7⁻²))

= 1/(8⁴(7⁻²))

B) (4⁻²)(x⁻¹)/(4⁻¹)(x⁻²)

Using quotient rule, we have;

(4⁻²⁺¹)(x⁻¹⁺²)

= (4⁻¹x⁻¹)

C) (6x⁻⁸z²)(6⁵x⁻¹z²)

Using quotient rule, we have;

x⁻⁷/6⁴

D) q⁻⁵r¹¹ / s⁷t⁻¹⁵

We don't have any similar variable as numerator or denominator and as such this cannot be simplified using quotient rule of exponents.

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The length of the hypotenuse of an isosceles right triangle with leg lengths 5 cm will be 7 cm.

            The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relationship between the three sides of a right triangle in Euclidean geometry. The areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse, according to this statement.

            The length of the leg of the given isosceles right triangle is 5 cm.

Using pythgorous theorem,

[tex](h^{2} ) = 5^{2} + 5^{2} \\h^{2} = 25 +25\\h^{2} = 50\\h = \sqrt{50} \\h = 7.07\\h = 7 cm[/tex]

Hence, The length of the hypotenuse will be 7 cm.

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Answer:

I don't know

Step-by-step explanation:

There is no expression here!

The number of solutions the equation 2x + 2x + 2 = 4 + 2x have is 1

From the question, we have the following parameters that can be used in our computation:

2x + 2x + 2 = 4 + 2x

Subtract 2x from both sides of the equation

So, we have the following representation

2x + 2 = 4

Subtract 2 from both sides of the equation

So, we have the following representation

2x = 2

Divide both sides by 2

x = 1

Hence, the equation has 1 solution

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The general form of the equation for the given circle centered at O(0, 0) include the following: B. x^2 + y^2 − 41 = 0

Mathematically, the general (standard) form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

Next, we would determine the radius of this circle by using the distance formula as follows;

Radius, r = √[(4 - 0)² + (5 - 0)²]

Radius, r = √(16 + 25)

Radius, r = √41

Substituting the given parameters into the general form, we have;

(x - h)² + (y - k)² = r²  

(x - 0)² + (y - 0)² = (√41)²  

x² + y² = 41

x² + y²- 41 = 0

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Complete Question:

Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)?

a. x^2 + y^2 + 41 = 0

b. x^2 + y^2 − 41 = 0

c. x^2 + y^2 + x + y − 41 = 0

d. x^2 + y^2 + x − y − 41 = 0

Answer:

  ∠EHF = 99°

Step-by-step explanation:

Given ∠EHG = 176°, ∠EHF = (4y+107)°, and ∠FHG = (10y+97)°, you want the measure of angle EHF.

Angle EHG is the sum of its parts:

  ∠EHG = ∠EHG +∠FHG

  176° = (4y+107)° +(10y+97)° . . . . use the given values

  176 = 14y +204 . . . . . . . . . simplify, divide by °

  -28 = 14y . . . . . . . . . . subtract 204

  -2 = y . . . . . . . . . . divide by 14

  ∠EHF = (4y +107)° = (4(-2) +107)°

  ∠EHF = 99°

The length of the skid marks is 336 feet

Since the formula s = √(21d) relates the speed (s) of the car and the length of skid (d).

If the car is traveling at 84 miles per hour, we can determine the length of the skid marks by substituting s = 84 into the formula and then solve for d. That is:

s = √(21d)

84 = √(21d)

84² = 21d

7056 = 21d

21d = 7056

d = 7056/21

d = 336 feet

Thus, length of the skid marks is 336 feet

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Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

Jamila is correct because glucose is a product, not a reactant, of photosynthesis. The correct option is C.

Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant. In plants, a chemical process known as photosynthesis uses water, carbon dioxide from the atmosphere, and other reactants to produce glucose from the light energy from the sun. Plants' leaf cells are where this process takes place.

Based on the information presented above, it can be concluded that Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant.

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The volume of the cone is 12π or 37.70 cm²

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the volume of the cone be represented as V

Now , the equation will be

Let the length of the cone be S = 5 cm

Let the height of the cone be = H

Let the radius of the cone be R = 3 cm

From the Pythagoras theorem , S² = H² + R²

So, substituting the values in the equation , we get

Height of the cone H = √5² - 3²

Height of the cone H = √25 - 9

Height of the cone H = √16

Height of the cone H = 4 cm

Now , the volume of the cone = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4

On simplifying the equation , we get

Volume of the cone V = 3 x 4 x π

Volume of the cone V = 12 π

Volume of the cone V = 37.70 cm²

Therefore , the value of V is 37.70 cm²

Hence , the volume of cone is 12π or 37.70 cm²

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The amount earned on average each day is $160.

From the information, James worked for 12 consecutive days, during the first 6 days, James averaged $140 per day, his average wage for the next 5 days was $175, and for the last day, he earned $205.

It should be noted that average is also the mean. This will be calculated as:

(6 × $140) + ($175 × 5) + $205 / 12

= $840 + $875 + $205 / 12

= $1920 / 12

= $160

The average amount is $160.

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The term that describe point M in the diagram is centroid.

A triangle is a given shape which have three number of sides, and three measures of internal angles. Some types of triangle are; isosceles, equilateral, scalene, right angled etc.

Constructing an angle bisector to each of its internal angles will produce an intersecting point which is referred as centroid. The centroid of a triangle is a point where the medians of the triangle meet. The medians of a triangle are the straight lines that bisect each of its internal angle.

Therefore it can be deduced from the given diagram that the term that describes point M is centroid.

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My brother, who is always pushing my buttons, keeps taking my things.

State-​ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.

Here , the required answer is.

My brother, who is always pushing my buttons, keeps taking my things.

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Answer:

To use the distributive property to remove the parentheses in the expression "-4(-6v-4w+1)", you need to distribute the negative 4 to each of the terms inside the parentheses. This gives you the following:

(-4*-6v) + (-4*-4w) + (-4*1)

Simplifying this expression, we get:

24v + 16w - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

use distributive property to remove parenthesis -4(-6v-4w+1)

-4(-6v - 4w + 1) =

24v + 16w - 4

Answer:

[tex]x=7, y=-4[/tex]

Step-by-step explanation:

[tex](4x+10y)+(-4x-7y)=-12+0 \implies 3y=-12 \implies y=-4 \\ \\ 4x+10(-4)=-12 \implies x=7 \\ \\ \therefore x=7, y=-4[/tex]

The amount of money left with Miguel is $8.15

Miguel has $20

He spends $6 on movie ticket

He spends $3.85 for snacks

He also spends $2 for bus fare

The total expenses is

6 + 3.85 + 2

= 11.85

The amount left is

20- 11.85

= 8.15

Hence Miguel has $8.15 left

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The length of the diagonal between the two sides, given the measurement of each side, is 20.

When given the lengths of two sides, the diagonal can be found by summing the squares of the sides and then finding the square root of the sum of these two numbers.

The sum of the squares is therefore :

= 12 ² + 16 ²

= 12 x 12 + 16 x 16

= 144 + 256

= 400

Then find the square root of this sum as this is the length of the diagonal between the two sides :

= √ sum of squares of sides

= √ 400

= 20 units

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The scale factor from the given similar triangles is 3.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC and triangle DEC are similar.

DE=6, AB=21, DC=4, EC=2x+3, and BC=13x-1.5.

Since, ΔABC similar to ΔDEC

So, AB/DE =AC/DC =BC/EC

21/6 =13x-1.5/2x+3

7/2 =13x-1.5/2x+3

7(2x+3)=2(13x-1.5)

14x+21=26x-3

26x-14x=21+3

12x=24

x=2

So, EC=2x+3 =7 and BC=13x-1.5 =24.5

Now, AB/DE =BC/EC

21/6=24.5/7=3.5

Therefore, the scale factor is 3.5 units.

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In 6 years, the car's depreciated value that Dan buys for £2,200 will be £1,474 under the straight-line depreciation method.

The straight-line depreciation is one of the depreciation methods in use.

Other depreciation methods include the sum-of-the-years' digits, the double-declining balance method, and the unit-of-production method.

Under the straight-line depreciation method, the same amount is used to reduce the value of the car.

The cost of the car when Dan buys it = £2,200

The annual rate of depreciation = 0.5% = 0.005

The depreciation period = 6 years

The annual depreciation under the straight-line method = £11 (£2,200 x 0.5%)

The depreciated value of the car after 6 years = £1,474 (£2,200 - £11 x 6)

Thus, Dan's car will be worth £1,474 after 6 years of depreciation.

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The correct equation which represents the perimeter in terms of the width, w is,

⇒ 2 (9 + w) = 42

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Misaki is measuring her office, which is rectangular.

And, The length of the room is 9 ft and the perimeter is 42 ft.

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Here, The length of the room is 9 ft and the perimeter is 42 ft.

So, We can formulate;

⇒ Perimeter of rectangle = 2 (Length + Width)

⇒ 42 = 2 (9+ w)

Thus, The correct equation is,

⇒ 42 = 2 (9+ w)

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Answer:

My pleasure in French is Mon Plaisir

Answer:

You can say ''my pleasure '' in French ''

Step-by-step explanation:

mon plaisir

Answer:

y = 4/5x + 8

Step-by-step explanation:

y-intercept = b = 8  

Use the points (-10,0) and (0,8) to find the slope (m)

m = (8 - 0)/(0 - (-10)) = 8/10 = 4/5

y = mx + b

y = 4/5x + 8

The function is best described by option B direct variation; k= 5/2.

When two variables are related in a way that one is a constant multiple of the other, this is referred to as direct variation.

The direct variation is given as follows y ∝ x.

The equation is thus of the form y = kx.

Using the given values in the table:

Consider x=-2 and y= -5

Substitute the values in y=kx.

-5 = -2k

Divide both sides of the equation by -2.

[tex]\frac{-5}{-2} = \frac{-2}{-2}k \\k =\frac{5}{2}[/tex]

The equation is [tex]y=\frac{5}{2} x[/tex] [ equation 1]

Check equation 1 for a different value in the table using the constant value k.

Let x= 4 and y = 10.

[tex]y = \frac{5}{2} x\\10 = \frac{5}{2} (4) \\10 = 10[/tex]

The equation holds true; hence the function is best described by direct variation; k = 5/2.

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Answer:

(-33,2)

Step-by-step explanation: