Michiko has one quiz each week in social studies class. The table gives the probability of having a quiz on eachday of the week. What is the probability that Michiko will not have a quiz on Wednesday? Express your answeras a percent.

the fact that we can not plant the half of tree imples that there is no line between the points of the graph. So the answer is letter B

Given

Table:

Time: 0, 1, 2, 3, 4

Calories: 0, 7, 14, 21, 28

Procedure

Let's plot the points shown

We can see that the points fall on a straight line. Therefore time and calories are two proportional quantities.

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

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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

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

Given that

To calculate the height of the triangle, we will use the Pythagoras theorem

With the Pythagorean theorem, we will have

By substituting the values, we will have

Therefore,

The height of the triangle is = 12.5 cm

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



Solution

A brick has the dimension 4in by 2in by 8 in

The bathtub has dimension 60in by 30in by 18in

Number of bricks needed to fill an empty bathtub =

To

Let the full cake represent,

Therfore, the given problem is in the form of an arithmetic sequence,

Here, n=5, d=-1/3, c(1)=1

Therefore,

So, the remaining amount of cake is -1/3.

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

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:

Answer:

=====================

Answer:

[tex](x,y)=\left(\; \boxed{-3,2} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,0} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}\;\;\;\;\;\;\;y^2=1-x\\x+2y=1\end{cases}[/tex]

To solve by the method of substitution, rearrange the second equation to make x the subject:

[tex]\implies x=1-2y[/tex]

Substitute the found expression for x into the first equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}x=1-2y \implies y^2&=1-(1-2y)\\y^2&=1-1+2y\\y^2&=2y\\y^2-2y&=0\end{aligned}[/tex]

Factor the equation:

[tex]\begin{aligned}\implies y^2-2y&=0\\y(y-2)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for y:

[tex]\implies y=0[/tex]

[tex]\implies y-2=0 \implies y=2[/tex]

Substitute the found values of y into the second equation and solve for x:

[tex]\begin{aligned}y=0 \implies x+2(0)&=1\\x&=1\end{aligned}[/tex]

[tex]\begin{aligned}y=2 \implies x+2(2)&=1\\x+4&=1\\x&=-3\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{-3,2} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,0} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Initial amount = $25

Amount spent on lunch = $15

The percentage of money spent on lunch

Given:

Promissory note issued for $700 at 12%.

Therefore, Option B is the correct answer.

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

The perimeter of the rectangle is 129.2×10⁵ if the area and one side of the rectangle is given.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is given that:

The area of the rectangle = 2.76×10¹² square cm

The length of the rectangle = 4.6×10⁵ cm

The other side measure = 2.76×10¹²/4.6×10⁵ = 0.6×10⁷ = 60×10⁵ cm

The perimeter of the rectangle = 2(4.6×10⁵ + 60×10⁵)

The perimeter of the rectangle = 129.2×10⁵

Thus, the perimeter of the rectangle is 129.2×10⁵ if the area and one side of the rectangle is given.

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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.

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We have the following:

Since there are 4 cards and each one has a value of -10 points, we have

Which means that the score changed by -40 points

ANSWER

EXPLANATION

Let 'x' be a number. The product of a number and -5 is: -5x

Then the quotient of 29 and something is: 29/something

Now, that something is the product -5x so, the quotient of 29 and the product of a number and -5 is:

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

Answer:

110,270 pounds.

Explanation:

Diameter of the Spherical Tank = 15 ft

• Radius = 15 ÷ 2 = 7.5 ft

For any sphere with radius, r:

Therefore, the volume of water that will fill the tank:

If water weighs 62.4 pounds per cubic foot:

The total weight of the water in a full tank is 110,270 pounds. (correct to the nearest pound).

You need to determine the number of possible combinations when you choose 4 appetizers out of 11 options in the dinner menu. Assuming that you are not going to repeat appetizers, to determine this number you have to apply combinations, using the formula:

Where

n is the number of options available

r is the number of options you have to choose, with no repetition, and the order doesn't matter.

For this exercise:

n=11

r=4

The combination can be determined as follows:

There are 330 combinations possible to choose 4 out of 11 appetizers from the menu.

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.

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:

• f = -4

• g = -g

• h = -f

Let us find the values of g and h.

• Since we know the value of, we can find the value of h.

• We solve the given equation for g.

Therefore, the number line that shows correctly the values of f,g, and h is the one in option c.

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

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

ANSWER

D. 5

EXPLANATION

We have to find the constant of proportionality in the equation:

The general form of a proportional relationship is:

where k = constant of proportionality

Therefore, comparing the given equation with the general equation, the constant of proportionality is 5.

Answer

(6/√2) = 3√2

Explanation

We are asked to simplify

6/√2

So, we will rationalize this by multiplying numerator and denominator by √2

Hope this Helps!!!