See question in screenshot below:
I only need the compounded continuously amount (the last question marked with an x).

We are interested in values that make the quadratic expression negative if the quadratic expression is less than, equal to, or greater than 0. We are interested in numbers that make our quadratic expression positive if the quadratic expression is more than, greater than, or equal to 0.

An discriminant value definition ?

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

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Work Shown:

x = price of the TV before the discount

20% of x = 0.20x = discount, aka amount saved

x - 0.20x = 0.80x = price after discount

0.80x = 240

x = 240/0.80

x = 300

The TV was $300 before the discount.

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

Check:

20% of 300 = 0.20*300 = 60 dollars is the amount saved

300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.

Answer:

33,000

Step-by-step explanation:

0.33 x 10^5 is 33,000

Answer:

835786543225644323567

The sixth chapter's Brother 0.66 pages were read.

According to the order of operations, you should perform multiplication and division first, going from left to right, before adding and subtracting.

Add and subtract from left to right while continuing to multiply and divide. the next step is to add and subtract from left to right.

Assumed the question is how many pages are in each chapter.

Let it be x:

6x + 8 = 12

6x = 4

x = 4 /6

x = 0.66.

The sixth chapter's Brother 0.66 pages were read.

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Answer: 18

D

Step-by-step explanation:

The constant of proportionality is y/x, not x/y, which is what your friend found.

X= 1

y=18

18/1=18

Answer:

depends on how long u need it for

Step-by-step explanation:

Answer:

25 people

Step-by-step explanation:

10 people will be vaccinated for 2hrs

10 = 2

y people will be vaccinated for 5hrs

y = 5

(To find y we need to cross multiply)

10 = 2

y = 5

2y= 50

y=50/2

y=25

:- 25 people will be vaccinated in 5hrs.

Lets check if our answer is correct let us make 5 hrs our unknown x

10 = 2

25 = x

(cross multiply)

25×2=10x

50=10x

x=5hrs

so our answer is correct.

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Graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.

What is inequality?

When left hand side is not exactly equal to the right hand side of an equation then it is known as inequality. For system of inequality, there are four types of inequalities <, >, [tex]\le[/tex], and [tex]\ge[/tex].

Using following steps anyone can graph the inequality:

1. Get y alone on one side of a linear inequality in two variables (like x and y) before graphing it. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.

2. The graph is a dashed line if the inequality is strict ( < or >). The graph is a solid line if the inequality is not strict ([tex]\le[/tex] or [tex]\ge[/tex] ).

3. The last step is to choose a point that is not on either line (typically (0, 0) is the simplest) and determine whether or not these coordinates fulfil the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.

Hence, the graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.

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The height of the cedars when they were planted by André, found using the formulas for arithmetic progression is 1.32 meters

An arithmetic progression is a number sequence that consists of numbers that have a constant or common difference between consecutive term of the sequence.

The year André planted the cedar hedge tree = 15 years ago

The present height of the hedge = 3 meters = 300 cm

The average rate at which the cedars grew = 12 cm per year

The height of the cedar hedge when André initially planted the them can be found by representing the situation using an arithmetic progression formula or as follows;

The nth term of an arithmetic progression, aₙ, can be found using the formula; aₙ = a₁ + (n - 1)·d

Where;

a₁ = The initial height of the tree

d = The amount the tree grows each year = 12 cm

n = The number of years ago, the tree was planted

When n = 15, we get;

a₁₅ = 3 meters = 300 cm

Therefore;

300 = a₁ + (15 - 1) × 12

a₁ = 300 - (15 - 1) × 12 = 132

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The 12 kinds of polygons are:

Triangle

Quadrilateral

Pentagon

Hexagon

Heptagon

Octagon

Nonagon

Decagon

Hendecagon

Dodecagon

Tridecagon

Tetradecagon

Polygons:

A polygon is a closed shape figure that has a minimum of three sides and three vertices.

Poly → many

gon → angle

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The graph of the expression x² > -18 does not exist

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

x2 > -18

This expression can be rewritten properly

So, we have the following representation

x² > -18

Next, we take the square roots of both sides of the expression

This gives

√x² > √-18

Evaluate the exponents

So, we have

x > 3√-2

The radical is a complex number

This means that the inequality expression cannot be graphed (because of the presence of the complex expression)

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By using Unitary method, it can be calculated that

a) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g

   Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g

b) 900 g of oats is required to make 16 flapjacks

What is Unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here Unitary method will be required

a) Let Trevor use x g Syrup, 2x g butter and 3x g oats

Trevor uses 200 g syrup

So x = 200

i) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g

ii) Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g

b) To make 8 flapjacks 150 g of syrup is used

   To make 1 flapjack [tex]\frac{150}{8}[/tex] g of syrup is used

   To make 16 flapjacks [tex]\frac{150}{8} \times 16[/tex] g of syrup is used

   To make 16 flapjacks 300g of syrup is used

   To make 16 flapjacks 300 [tex]\times[/tex] 3 g of oats is used

   To make 16 flapjacks 900 g of oats is used

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Answer:

  {3, 4, 6, 7, 8}

Step-by-step explanation:

For sets U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 5, 6}, and C = {1, 2, 3, 4, 5}, you want the set {A∩C}'.

The set A∩C contains the elements that are common to both sets. Those are {1, 2, 5}.

The set of interest contains the elements of U that are not in A∩C. Those are ...

  {3, 4, 6, 7, 8}

__

Additional comment

DeMorgan's theorem tells us the desired set is equivalent to A'∪C', or {3, 4, 7, 8}∪{6, 7, 8}. That, too, is ...

  (3, 4, 6, 7, 8}

Answer: [tex]z > -14[/tex]

Step-by-step explanation:

Divide both sides by 2.

The expression written in terms of sinx and cosx is

sinx· cos7π/4 - cosx ·sin7π/4

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given expression is sin(x - 7π/4).

Use the formula for sin(A-B) to rewrite the expression:

sin(x - 7π/4)

= sinx· cos7π/4 - cosx ·sin7π/4

Hence, the expression written in terms of sinx and cosx is sinx· cos7π/4 - cosx ·sin7π/4

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The Linear equation that represents the above situation is given by

x + 3x + 15 = 63

A linear Equation is a Mathematical expression that is used to calculate an unknown number of values or any unknown quantity. Here we use variables to represent the unknown numbers.    

Here given that

Luke and Cade have started running

Luke runs 15 more miles than thrice of that of number of miles Cade runs

Since we don't know the number of miles run by Cade

Let us assume that Cade runs x miles

=> Number of miles run by Cade = x miles

From the given data,

The number of miles run by Luke will be = 3x + 15

=> Number of miles run by Luke and Cade = x + 3x + 15

Given that the total mile run by Luke and Cade =  63 miles  

=> x + 3x + 15 = 63

Therefore,

The Linear equation that represents the above situation is given by  

x + 3x + 15 = 63

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By solving a linear inequation, it can be concluded that

The sweater can be worn comfortably

What is a linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > . < , ≤, ≥

A one degree inequation is known as linear inequation.

Here, the given linear inequation is

[tex]|t - 56| \leq 6\\t - 56 \geq -6 \ or \ t - 56 \leq 6\\t \geq 56 - 6 \ or \ t \leq 56+6\\t \geq 50 \ or \ t \leq 62\\50 \leq t \leq 62[/tex]

As 53° F lies between 50 and 62, the sweater can be worn comfortably

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The value of the test statistic is given as follows:

z = 2.17.

There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes.

The value of the test statistic is obtained using the z-distribution, as the population standard deviation is known in the context of this problem.

The equation that gives the test statistic is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which the parameters of the equation are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]\overline{x} = 3.94, \mu = 3.50, \sigma = 1.30, n = 41[/tex]

(all values are taken from the text).

Then the numeric value of the test statistic is obtained as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.94 - 3.50}{\frac{1.30}{\sqrt{41}}}[/tex]

z = 2.17.

There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes, as the critical value for the right-tailed test with 95% confidence is of z = 1.645, and the test statistic is greater than this.

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The equation that can be used to find x is

3x + 6 = 2x + 9

Option E is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Lydia started with 6 charms and bought 3 more packs.

Claudia started with 9 charms and bought 2 more packs.

If each pack had x charms.

This can be written as,

Lydia:

Number of charms = 6 + 3x

Claudia:

Number of charms = 9 + 2x

Now,

Lydia and Claudia have the same number of charms in their collections.

This can be written as,

6 + 3x = 9 + 2x

3x + 6 = 2x + 9

Thus,

The equation that can be used to find x is

3x + 6 = 2x + 9

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Answer:

Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...

Step-by-step explanation:

The upper bound of the given function is 20 while the lower bound of the given function is -8.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

-2 ≤ f(x) ≤ 5

At the upper bond, f(x) = 5

[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]

⇒ 5(3 + 1) = 20

At the lower bond f(x) = -2

[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]

⇒ -2(3 + 1) = -8

Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".

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Answer:

The first option.

Step-by-step explanation:

The graph starts very negative and ends very positive. Not sure how else to explain it.

The 7 names of triangles:

Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,

Right triangle, Obtuse triangle

What are triangles?

Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.

Equiangular triangle: All angles are equal.

Acute triangle . . . all three angles are less than 90°

Right triangle . . . one angle is 90°

Obtuse triangle . . . one angle is greater than 90°

Equilateral triangle . . . all three sides are the same length

Isosceles triangle . . . two sides are the same length

Scalene triangle . . . all three sides are different lengths

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The solution to the inequality expression is x ≥ - 5

what is inequality expressions ?

Both equations and inequalities are mathematical phrases created by connecting two expressions. The two expressions are regarded as being equivalent in an equation.

solution:

The given expression - 4(x + 3) ≤ –2 – 2x

                                     - 4x - 12  ≤ -2 - 2x

                                      -4x + 2x  ≤ -2 + 12

                                              -2x  ≤  10

                                               -x  ≤ 5

Multiply  both sides by - 1

Then x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

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The probability for each event are

[A] -  36/1320

[B] -  36/1320

[C] -  36/1320

[D] -  The probability doesn’t change in any order.

        P(A) = n(A)/n(S)

        where -

        n(A) = Number of outcomes favorable to event A.

       n(S) = Total number of outcomes

We have Chelsey who puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.

[A] -

{3/12} x {3/11} x {4/10} =

36/1320

[B] -

{3/12} x {4/11} x {3/10}

36/1320

{C} -

{4/12} x {3/11} x {3/10}

36/1320

D) The probability doesn’t change in any order.

Therefore, the probability for each event are -

[A] -  36/1320

[B] -  36/1320

[C] -  36/1320

[D] -  The probability doesn’t change in any order.

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The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440

From the question, we have

⁸C₇ and ¹¹P₅

The combination expression: ⁸C₇

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 7

Substitute the known values in the above equation

Total = ⁸C₇

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

⁸C₇ = 8!/7!1!

Evaluate

⁸C₇ = 8

(b) The permutation expression: ¹¹P₅

The number of ways of selection could be drawn is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 11 and r = 5

Substitute the known values in the above equation

Total = ¹¹P₅

Apply the permutation formula

ⁿPᵣ = n!/(n - r)

So, we have

¹¹P₅ = 11!/6!

Evaluate

¹¹P₅ = 55440

Hence, the values are 8 and 55440

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Answer:

See below!

Step-by-step explanation:

Let the two numbers be x and y

x + y = 66 ----------------(1)

2x = y + 15

2x - y = 15 ---------------(2)

Add both equations

x + y + 2x - y = 66 + 15

x + 2x = 66 + 15

3x = 81

Divide both sides by 3

Put x = 27 in Eq. 1

27 + y = 66

Subtract 27 to both sides

y = 66 - 27

[tex]\rule[225]{225}{2}[/tex]

Answer:

6.40

Step-by-step explanation:

For this we will divide,

look below for a explanation

Purchase Price:

$64

Discount:

(64 x 90)/100 = $57.60

Final Price:

64 - 57.60 = $6.40

Answer:

D. The longest side is twice as long as the shortest side.

Step-by-step explanation:

Given one angle is 30° and another is 60°, the third must be 90°, making a Special 30-60-90 triangle. In a 30-60-90 triangle, the hypotenuse (longest side) is twice (two times) as long as the shortest side.