quater of 80? its for my maths, thanks xx

Answer:

y = 16x^5

Step-by-step explanation:

The parabola \(y = √(x - 4)\) opens upward.

The parabola y = √(x - 4) represents the square root function of x minus 4. To determine the direction in which the parabola opens, we examine the behavior of the square root function.

The square root function (√x) returns non-negative values for non-negative inputs. Since the expression inside the square root, (x - 4), must be non-negative for real solutions, we have x - 4 ≥ 0. Solving this inequality, we find x ≥ 4.

This means that the parabola is defined for x values greater than or equal to 4. As we increase x from 4, the value of √(x - 4) will also increase. Therefore, the graph of the parabola opens upward.

The parabola \(y = √(x - 4)\) opens upward.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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Answer:

20

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

1. x + y

2. p - q

3. 5 * (y - x)

4. (m + n) / 3

hope this helps! <3

The approximate diameter of the garden is 12.84 feet.

What is circumference?

The circumference of a circle is the distance around the edge of the circle or It is the perimeter or the length of the boundary of a circle. It is a measure of the total length of the circle, just like the perimeter is the measure of the total length of a polygon. The circumference is also related to the diameter and radius of a circle by the formula:

Circumference = 2πr = πd

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C / 2π

In this case, we are given that the circumference is 40.25 feet and π is approximately 3.14. Substituting these values into the formula, we get:

r = 40.25 / (2 x 3.14) ≈ 6.42 feet

The diameter of the circle is twice the radius, so we can find the approximate diameter by multiplying the radius by 2:

d ≈ 2 x 6.42 ≈ 12.84 feet

Rounding to the nearest hundredth, we get a diameter of approximately 12.84 feet.

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A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The net of a triangular pyramid consists of four triangles. The base of the pyramid is a triangle, and the lateral faces are also triangles.

Answer: Hey, getting slope is actually really easy!

Step-by-step explanation: So, if you’re given 2 sets of number such as (2,5) or (-7,3) then you just take them and you have to realize that 2 is x and 5 is y. also that -7 is x2 and 3 is y2. so then you use this formula (y2-y1 / x2-x1) this will give you the slope!! here’s an example using the points i said earlier: 3-5 / -7-2. so it would be 2/-9 for the slope! also i’d they only give you one point and the y intercept then you can just use the one point and then make the y intercept have a 0. so id the y intercept is 9 then the ordered pair would be (0,9) Good Luck! and let me know if you need to know how to graph the slope:)

Based on the given task content; 5/11 is closer to 1/2.

A fraction is a number which has a numerator and a denominator. A numerator refers to the upper or top value while a denominator refers to the lower or bottom value of a fraction.

5/11

= 0.454545454545454

Approximately,

= 0.5

1/2 = 0.5

Hence, 1/2 is closer to 5/11

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Answer:

Explanation:

Firstly, we need to write an equation that represents this

We have this as:

Where P is the final population which is given as less than 20

I is the present population

r is the reduction rate which is 8% = 8/100 = 0.08

n is the number of years which is what we want to calculate

Thus, we can have the equation written as:

What this mean is that it will take around 51 years for us to have an extinction

Answer: 8.3

Step-by-step explanation:

Answer:

2y=3 = y = 3/2 = 1.500

 z = 10     =   z = 10

Steps below

Step-by-step explanation:

Solving a Single Variable Equation

Add  3  to both sides of the equation :  

                     2y = 3

Divide both sides of the equation by 2:

                    y = 3/2 = 1.500

Hope this helps.

Answer:

42.30 m

Step-by-step explanation:

Let's take the distance between the campsite, AB, to be "x".

Since the two triangles are similar, their corresponding side lengths are proportional. Therefore:

47/x = 82/73.8

Cross multiply

x*82 = 47*73.8

x = (47*73.8)/82

x = 3,468.6/82

x = AB = 42.30 m (nearest hundredth)

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The dimensions of the garden are 20 feet by 80 feet, and the area enclosed is 1600 square feet.

How is optimization employed in mathematics?

The process of selecting the optimal answer from a range of alternatives is known as optimization. In mathematics, optimization is employed to determine a function's maximum or least value. Typically, an optimization issue entails the optimization of a function under a set of restrictions.

Let's assume that the length of the left border is x feet.

The length of the lower border is y feet.

From the given situation the equation is:

8x + 2y = 320

To maximize the area of the garden, we maximize the product xy.

2y = 320 - 8x

y = 160 - 4x

Substituting this expression for y into the expression for the area, we get:

A = xy = x(160 - 4x) = 160x - 4x²

To find the value of x that maximizes the area, we can take the derivative of A with respect to x and set it equal to zero:

dA/dx = 160 - 8x = 0

x = 20

Substituting x = 20 back into the expression for y, we get:

y = 160 - 4x = 80

Therefore, the dimensions of the garden are 20 feet by 80 feet, and the area enclosed is: A = xy = (20)(80) = 1600 feet².

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Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

Key skills needed --> Division of fractions, Multiplication of fractions

1) 2/4 over 5/8 is the same thing as division ---> \(\frac{2}{4}\) ÷ \(\frac{5}{8}\) = \(\frac{2}{4}\) × \(\frac{8}{5}\) = \(\frac{16}{20}\) = \(\frac{4}{5}\)

2) Dividing by a fraction is the same thing as multiplying by its reciprocal.

Basically if you are dividing by \(\frac{3}{4}\), you are multiplying by \(\frac{4}{3}\). A reciprocal is when the fraction's numerator becomes the denominator, and the fraction's denominator becomes the numerator. \(\frac{1}{2}\) --> reciprocal is \(\frac{2}{1}\) (or 2)

Hope you understood and have a nice day!! :D

I do not understand what do you mean

The exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

An exponential function is represented as:

\(y = b^x\)

The base is 3.

So, we have:

\(y = 3^x\)

It is stretched vertically by 2/3.

So, we have:

\(y = \frac23(3)^x\)

When reflected over the y-axis, we have:

\(y = \frac23(3)^{-x}\)

An asymptote of y = 2, makes the function becomes

\(y = \frac23(3)^{-x} + 2\)

Lastly, it passes through the point (0, 3.5).

So, we have:

\(y = \frac23(3)^{-x+h} + 2\)

This gives

\(3.5 = \frac23(3)^{-0+h} + 2\)

\(3.5 = \frac23(3)^{h} + 2\)

Subtract 2 from both sides

\(1.5 = \frac23(3)^{h}\)

Multiply by 3/2

\(2.25 = (3)^{h}\)

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in \(y = \frac23(3)^{-x+h} + 2\)

\(y = \frac23(3)^{-x+0.74} + 2\)

Hence, the exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

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Answer:

8 miles

Step-by-step explanation:

when its 3.5hours look to the left which is 8 miles

Answer:

ummm I would say a angle of 7.65

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

Answer:

\(\sf g = 13.18 \ units\)

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

\(\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}\)

\(\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}\)

\(\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g\)

\(\rightarrow \sf g = 13.18 \ units\)

We can factor out a 5 from the equation to get 5(x² + (8/5)x + 3/5) = 0, and then use the quadratic formula to find the roots, which are x = -1 and x = -3/5.

What is a quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x.

Find the roots of the quadratic equation: x² - 4x - 5 = 0.

A quadratic equation has roots (-3, 4). Write down the equation.

Find the sum and product of the roots of the quadratic equation: 3x² + 2x - 1 = 0.

Solve the quadratic equation: 5x² + 8x + 3 = 0.

Factorize the quadratic expression: x² - 6x + 9.

To solve problem 1, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / 2a. Plugging in the coefficients of the equation, we get x = (4 ± √36) / 2, which simplifies to x = 5 or x = -1.

For problem 2, we know that the equation will be in the form (x + 3)(x - 4) = 0, so multiplying this out gives x² - x - 12 = 0.

To solve problem 3, we use the fact that the sum of the roots of a quadratic equation ax² + bx + c = 0 is -b/a and the product is c/a. So in this case, the sum is -2/3 and the product is -1/3.

For problem 4, we can factor out a 5 from the equation to get 5(x² + (8/5)x + 3/5) = 0, and then use the quadratic formula to find the roots, which are x = -1 and x = -3/5.

To solve problem 5, we can use the formula (a - b)^2 = a^2 - 2ab + b^2. Applying this to the quadratic expression gives (x - 3)^2, so it is fully factored as (x - 3)(x - 3).

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Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.

We are given that;

Line a is parallel to line b

Line m is parallel to line n.

A) We want to prove that line a is perpendicular to n.

From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.

Now, we know that by definition of a right angle that ∠1 will also be a right angle.

Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.

B) We want to prove that line b is perpendicular to n.

The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Thus, b will be perpendicular to n.

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The solutions of  x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,

which is the x-coordinate of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9

"It is a polynomial equation with degree two."

"The general form of quadratic equation is  , where a, b, c are real numbers with a ≠ 0."

here, we have,

For given question,

We have been given an quadratic equation  x² - 2x - 4 =  -3x + 9

We simplify above quadratic equation.

=>  x² - 2x - 4 =  -3x + 9

solving we get,

=>  x = -4.14 and x = 3.14

Consider the graphs for y = x² - 2x - 4 and y = -3x + 9 as shown below.

Therefore, the solutions of  x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,

which is the x-coordinates of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9

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5/0.25 = 20km/h

or

5000/1500 = 3.33m/s

Answer:

help with this https://brainly.com/question/25211060

Step-by-step explanation:

Answer:

The Answer is -The segmet can be named XY or YX

Step-by-step explanation:

Answer:

A) (3,3), B (12,6) ---> C (16,-6)

A) (-10,5), B ( 12,16)--> C(18,4)

A)(12,-14), B (-16,21)---> C( 6,52)

A) (30,20), B( -20,-15)--> C(-11,25)

-------------------------------

hope it helps...

have a great day!!

It should be noted that this is addition of numbers and the value will be 953.

It should be noted that the question is about an appropriate and interesting word sum for 439 and 514.

This will be Joy has 439 pencils in a bag and Michael has 514 pencils in another bag. How many pencils for they have together?

This will be;

= 439 + 514

= 953.

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