Find the area of the shaded region assume all angles are right angles

Total  number of cakes left is 1.25 i.e. 1 and quarter.

Given,

Number of cakes = 8

Number of  pieces of each cake =12

Number of slices sold = 81

Then,

Total number of slices of cake = [tex]12*8=96[/tex]

Now,

number of remaining slices =[tex]96-81=15[/tex]

To find number of remaining cake left, divide number of remaining slices to the pieces of each cake.

Number of remaining cake = [tex]\frac{15}{12} =1.25[/tex]

Thus, total number of cakes left is 1.25 i.e. 1 and quarter.

To learn more about fractions refer here

brainly.com/question/25415062

#SPJ9

The right triangle formed is shown below

To find the slant height, x, we would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

Looking at the triangle,

hypotenuse = x

one leg = 12

other leg = 7

By applying the pythagorean theorem,

x^2 = 12^2 + 7^2 = 144 + 49 = 193

x = square root of 193

x = 13.89

Rounding to the nearest whole number,

x = 14

Answer:

2029.2 ft

Step-by-step explanation:

If x represents the number of minutes, then all you have to do is plug in 170 ( the number of minutes ) into the equation.

y = 7.96 (170) + 676

y = 1353.2 + 676

y = 2029.2

y represents the hiker's elevation in feet, so the answer would be 2029.2 ft.

let me know if anything is confusing :-))

Given:

Promissory note issued for $700 at 12%.

Therefore, Option B is the correct answer.

The amount of the discount is  $49.59, and the net cost after the discount is applied is $225.90.

If we have a original price P and we apply a discount of X, where X is a percentage, the amount of the discount is given by the formula:

D = P*(X/100%)

In this case, the original price is $275.49 and the discount is of 18%, then the amount of the discount is:

D = $275.49*(18%/100%) = $275.49*0.18 = $49.59

b) To get the net cost we need to take the difference between the original price and the amount of the discount, we will get:

net cost =  $275.49 - $49.59 = $225.90

Learn more about discounts:

https://brainly.com/question/7459025

#SPJ1

1/3 cup of carrot juice ---------------------------------->2/3 cup of apple juice

x cups of carrot juice ----------------------------------->1 cup of apple juice

Using cross multiplication:

solve for x:

She uses 1/2 cups of carrot juice for 1 cup of apple juice

Answer:

Explanation:

Here, we want to drop the appropriate symbols

When we add the given number 22 to p, it would give a number which is at most 100

That means the number must be less than or equal to 100

mathematically, we have that as:

D<C<B<A; This is the correct ranking of the given stores in the order of cheapest to most expensive sale price of the camera as the definition of ascending order says, "Ascending order means to arrange numbers in increasing order, that is, from smallest to largest."

The arrangement of numbers or other things in increasing order from smallest to largest is known as ascending order. Ascending order is demonstrated by numbers on a number line, which are listed from left to right. Usual representations include using commas or the "less-than symbol (<)" between numbers. For instance, 1, 2, 3, 4, or 5; or 1<2 <3 <4 <5.

Here,

Store A:

Price=$99.99

Discount=15%

Discount in dollar=$14.9985

Discounted price=$84.9915

Store B:

Price=$95.99

Discount=12%

Discount in dollar=$11.5188

Discounted price=$84.4712

Store C:

Price=$90.99

Discount=10%

Discount in dollar=$9.099

Discounted price=$81.891

Store D:

Price=$89.99

Discount=5% and after that 5%

net price after discount=$81.215

The price of store D is minimum that is $81.215.

According to the definition of ascending order, "Ascending order means to arrange numbers in increasing order, that is, from smallest to largest," this ranking of the given stores in order of cheapest to most expensive sale price of the camera is correct; D<C<B<A.

To know more about ascending order,

https://brainly.com/question/14404086?referrer=searchResults

#SPJ1

Step 1

A rectangle is a quadrilateral with the parallel opposite two sides being equal and with each vertex being 90°. The sum of angles in a rectangle is 360°. It has 2 diagonals.

Step 2

Derive an answer from the statement in step 1

The consecutive sides are perpendicular is the only right option.

Hence option D

To find the vertex (h,k), we have to find h using the following formula

Where a = 1 and b = -10.

Then, we find k by evaluating the function when x = 5.

The axis of symmetry is given by the h coordinate of the vertex.

The y-intercept is found when x = 0.

The x-intercepts are found when y = 0.

To solve this expression, we have to look for two numbers which product is 9, and which addition is 10. Those numbers are 9 and 1.

Then, we use the zero product property to express both solutions

The minimum value is defined by the k coordinate of the vertex.

The domain of the function would be all real numbers because quadratic functions don't have any domain restrictions.

The range of the function is determined by the vertex, given that the parabola opens upwards, then the range is

Initial amount = $25

Amount spent on lunch = $15

The percentage of money spent on lunch

A reflection through x-axis is the property to get a point and transform it like this:

If we have point P = (3,4), its reflexion through x-axis will be:

So our final answer will be:

OK

the base in this case is an hexagone

we can find the area of the base with the following formula

where S represent the side of the hexagone

s=20

Perimiter is given by 6*S

P=6*20=120

h=22

Given the following formula for the hexagone

solving for a

applying pythagoras theorem

Lateral surface

Total surface

Volume

Given:

it is given that common ration of a geometric sequence is r = 5 and 7th term is - 43.

Find:

we have to find the value of 9th term.

Explanation:

we know the formula for nth term of a geometric sequence is

since, 7the term is - 43,

Therefore, we have

The 9the term of the geometric sequence is

Therefore, 9th term of given geometric sequence is -1075.

The coordinates of the triangle XYZ are:

X(3,3)

Y(4,1)

Z(1,1)

The translation to perform is (x-4) and (y+2)

Translations are rigid transformations of a figure, this means that the triangle will move but won't change its shape or size.

A translation over the x axis results in a horizontal movement.

If you subtract a factor k x-coordinate, the movement will be to the left.

If you add the factor k x-coordinate, the movement will be to the rigth.

In this example the translation over the x-coordinate is (x-4) → 4 unit are being subtracted to the x-coordinate of each point, this results in a horizontal movement 4 units to the left

A translation over the y axis results in a vertical movement.

If you subtract a factor m from the y-coordinate, the movement will be downwards.

If you add the factor m from the y-coordinate, the movement will be upwards

In this example the translation over the y-coordinate is (y+2)→ 2 units were added to the y-coordinate, this results in a vertical movement 2 units up.

Paul moved the triangle 4 units down and 2 units right, he performed the wrong translation.

THe triangle was moved "left" and "up", the translation will be located in the second quadrant

0.30

Probability is the likelihood or chance that an event will occur. Mathematically:

where:

• n(E) is the ,expected outcome

• n(S) is the ,total outcome

Since the results shows a total survey of 2000 gamers, hence the total outcome is 2000.

Determine the total participant that prefers Nintendo Wii U system

Total participant that refers Nintendo Wii U system = 64 + 103 + 246 + 193

Total participant that refers Nintendo Wii U system n(E) = 606

Determine the required probability

Hence the probability the participant prefers the Nintendo Wii U system is 0.30

The best variable to solve is x=3-2v, after dividing the first equation by 3.

x=4, and v=-1/2

1) Solving that system by Substitution

2) Making then

x=3-2v

2x-10v=13

3) Plugging into the 2nd equation

2(3-2v)-10v=13

6-4v -10v=13

6-14v=13

-14v=13-6

-14v=7

v=-1/2

Plugging into the first equation

x=3-2v

x=3-2(-1/2)

x=3+1

x=4

In the graph, there are 2 zeros, one for each type.

The zero where the graph crosses the x axis is 1. When x=1, the function intercepts the x axis and crosses it.

The zero where the graph touches but does not cross the x axis is -1. When x=-1, the function touches x axis but goes back to the quadrant.

Given the triangle:

We're going to find its area.

To do this, we just multiply the base of the triangle by its height and then divide this result by 2:

Therefore, the area equals 24 in2.

Given:

Write the following ratio as a fraction in the lowest terms.

36 to 38

the ratio will be as follows:

So, the answer will be: 18/19



Explanation

We are given the following function:

We are required to determine the instantaneous rate of change at x = 2π.

This is achieved thus:

Hence, the answer is:

Let's have an example of a seller that sells phones.

His salary have a fixed part of $50, and it increases by $2 by each phone he sells.

We want to find out how much will be his salary if he sells 5, 10 and 15 phones.

If we use the variable x to represent the number of phones sold, his salary (variable y) will be defined by the equation:

Now, using the values of x we want to calculate, we have that:

We can plot these points to see how much his salary increases for each phone sold, and also we can have an idea of any point we want to find out:

Write the exponential expression, forty one to the seventh power;

The slope-intercept form is:

So first we will find the gradient:

Parallel lines have the same gradient:

So now that we know the gradient of the line as -2, we will then find the equation of the line using the formula below as it passes through (7,4):

Answer:

• Vertex: (5, –1)

• No symmetry

• Transformations: 5 units to the right, and 1 unit down.

Explanation

We are given the parent function f(x)= |x| and the transformed function:

Thus, we can get the vertex considering that a function in the form:

has a vertex at (+a, ±b).

Therefore, our vertex is at (5, –1). Additionally, as an absolute function has the form of a 'v', and as the vertex is at (5, –1) then it has no symmetry about the x-axis, nor y-axis, and nor about the origin, meaning it has no symmetry.

Finally, the transformation from the parent function is a shift 5 units to the right and one unit down.

Answer:

Answer:

• Vertex: (5, –1)

,

• No symmetry

,

• Transformations: 5 units to the right and 1 unit down.

Explanation

We are given the parent function f(x)= |x| and the transformed function:

Thus, we can get the vertex considering that a function in the form:

Has a vertex at (+a, ±b).

Therefore, our vertex is at (5, –1). Additionally, as an absolute function has the form of a 'v', and as the vertex is at (5, –1) then it has no symmetry about the x-axis, nor y-axis, nor about the origin, meaning it has no symmetry.

Finally, the transformation from the parent function shifts 5 units to the right and one unit down.

Step-by-step explanation:

Answer:

Given to Step 1: Lin calculated 4 - 17 incorrectly; should be -13.

Step 3 to Step 4: Lin should have subtracted 8x from each side; should be 18x.

Lin's answer should be x = 1/2

Explanation:

The initial expression is:

8(x - 3) + 7 = 2x(4 - 17)

So, the first error is in step 1, because 4 - 17 = - 13, then step 1 should be:

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

Then, we can apply the distributive property as:

8x - 8(3) + 7 = -26x

8x - 24 + 7 = -26x

We need to add similar terms:

8x - 17 = - 26x

Then, we can subtract 8x from both sides as follows:

8x - 17 - 8x = - 26x - 8x

-17 = -34x

Finally, we can divide by -34 as follows:

-17/(-34) = -34x/(-34)

1/2 = x

Therefore, the answers are:

Given to Step 1: Lin calculated 4 - 17 incorrectly; should be -13.

Step 3 to Step 4: Lin should have subtracted 8x from each side; should be 18x.

Lin's answer should be x = 1/2

We must describe the local and end behaviour of the function:

First, we rewrite the polynomials in numerator and denominator in terms of their roots:

Local behaviour

We see that f(x) has a zero in the denominator for x = -1 and x = 5. The function f(x) has vertical asymptotes at these values. To analyze the local behaviour, we must compute the lateral limits for x → -1 and x → 5.

Limit x → - 1 from the left

Computing the limit from the left when x → -1, is equivalent to replacing x by -1 - ε and computing the limit when ε → 0:

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → - 1 from the right

Computing the limit from the left when x → -1, is equivalent to replacing x by -1 + ε and computing the limit when ε → 0:

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → 5 from the left

Computing the limit from the left when x → 5, is equivalent to replacing x by 5 - ε and computing the limit when ε → 0:

In the last step, we can't throw the ε in the parenthesis different to zero.

Limit x → 5 from the right

Computing the limit from the left when x → 5, is equivalent to replacing x by 5 + ε and computing the limit when ε → 0:

In the last step, we can't throw the ε in the parenthesis different to zero.

End behaviour

To describe the end behaviour of the function, we must compute the limits of the function when x → -∞ and x → +∞.

Limit x → -∞

To compute the limit we have divided numerator and denominator by x² and distributed the limit. The result of each limit is given by the leading term, which has the highest power of x.

Limit x → +∞

To compute the limit we have divided numerator and denominator by x² and distributed the limit. The result of each limit is given by the leading term, which has the highest power of x.

Local behaviour

The function f(x) has vertical asymptotes at x = -1 and x = 5.

End behaviour

From the table given, Let's consider the third day

On the third day, 62 tickets were sold and $ 341 was collected

Then we can obtain the cost of a single ticket, which will be =

= $ 5.5

So 1 ticket cost $5.5

Then we can fill in the table

PART A

PART B

The equation that can be used to find y, the amount of money collected can be obtained since we know the cost of a single ticket which is $ 5.5

PART C

A dependent variable represents a quantity whose value depends on how the independent variable is manipulated.

From the equation

y = 5.5 x

y = Amount of money collected

x = Number of tickets

Since y (Amount collected) depends on x (the number of tickets sold)

y is the dependent variable

x is the independent variable

Part D

The relationship is that:

The amount of money that will be collected is dependent on the number of tickets sold.

since each ticket costs $5.5, then the amount realized is $5.5 multiplied by the number of tickets