What is the domain of the red curve in the graph below?
graph
x > 0
x < 0
x > 5
x > 4

Answer:

$1680

Step-by-step explanation:

Principal loan amount x Interest rate x Time

= 12000 × 14% × 1

=12000 × 14/100 × 1

=168000/100 × 1

=1680

Answer:

i hope this helps!

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Step-by-step explanation:

P = $ 12000

r = 14%

t = 1 (for first year)

I = (P X r X t)/100

∴ I = (12000 X 14 X 1)/100

   = 120 X 14

   = $ 1680   <---------- (Interest on loan at the end of first year)

∴ Total amount owing at the end of first year = (P + I)

                                                                          = (12000 + 1680)

                                                                          =  $ 13680

Repayment = $ 7800

Amount still outstanding (at the start of second year) = 13680 - 7800

                                                                                       =  $ 5880

Interest on the outstanding amount at the end of second year,

P (new) = $ 5880

r (same) = 14%

t = 1 (for the current second year)

∴ I = (P X r X t)/100

   = (5880 X 14 X 1)/100

   = 82320 / 100

   = $ 823.2   <-------------------------- (Interest on outstanding amount at the end of second year)

Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

Word problems in Mathematics are mathematical approaches we make use of in our ongoing day to day activities. Algebra leading to word problems usually consist of numbers, variables, and its arithmetic operations.

Ahlam bought goods worth = $90, If she gave the shopkeeper $100, then she will collect $100 - $90 = $10 back.

But if the shopkeeper did not have an exact balance and Ahlam decided to give the shopkeeper $x to get a balance of $25.

Then we can write the expression as:

10 + x = 25

x = 25 - 10

x = 15

Therefore, we can conclude that Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

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Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find out - 'e'

Given,

90 % of e = 30

\( = > \frac{90}{100} \times e = 30\)

\( = > e = 30 \times \frac{100}{90} \)

\( = > e = \frac{100}{3} \)

=> e = 33.3333......

=> e = 33.3 (approx. ) (Ans)

Answer: The data shows an association between the type of instructor and a certification in CPR. The association is that swimming instructors are less likely than tennis instructors to be certified in CPR. This can be seen from the frequency table, where all the swimming instructors are not certified in CPR, while only 4 out of 12 tennis instructors are not certified in CPR, so yes, the data does show an association between the type of instructor and a certification in CPR.

Step-by-step explanation:

The two-way frequency table shows the number of instructors who are certified or not certified in CPR, broken down by type of instructor (swimming or tennis). The data in the table allows us to see the relationship between the two variables (type of instructor and certification in CPR) and whether there is an association between them.

An association means that the values of one variable are related to the values of another variable in some way. In this case, the type of instructor (swimming or tennis) is related to whether or not the instructor is certified in CPR. The data shows that the proportion of swimming instructors who are not certified in CPR (100%) is higher than the proportion of tennis instructors who are not certified in CPR (33%). This indicates that there is an association between type of instructor and certification in CPR, with swimming instructors being less likely to be certified in CPR than tennis instructors.

It is important to note that this association does not necessarily imply causation, meaning that being a swimming instructor does not cause one to not be certified in CPR, but it could be the other way around, or it could be due to some other factors that the data does not show.

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Solve the problem?

Given that a card is selected from a 52-card deck that has been thoroughly shuffled without being replaced, the following card is drawn.

A: The top card is a 4, and B: The next card is an ace.

Probability =A∩B

After this first card is pulled, if 10is drawn, we have 51 cards left with 4 aces in them. This is the probability we need to discover for

P(A). =  10/52  

P(B) = number of aces in 51 cards divided by 51, thus = 4/51

Hence A∩B =10/52×10/51

=   100/2652

(From this, we can see that, after changing the card count, A and B are independent.

Additionally, we multiply the probability for both.)

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The whole factoring of the phrase is \(3(b + 7) (b - 3)\)

Factors are items which are multiplied by the other items in an expression. You can use a number, variable, sentence, or any other longer expression. For instance, 2, x, and y are the components of 2xy.

Rewriting an equation as the sum of factors is referred to as factor expressions or factoring. For instance, 3x + 12y may be expressed as 3 (x + 4y), which is a straightforward equation. The computations get simpler in this method. Three or (x + 4y) were examples of factors.

First, we can factor out \(3\)

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21)\)

The numbers are \(+7\) and \(-3\)

\(b^2 + 4b - 21 = (b + 7)(b - 3)\)

Putting it all together,

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21) = 3(b + 7)(b - 3)\)

Therefore, the expression is \(3(b + 7)(b - 3)\).

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The maximum value of f(x,y) on the unit of circle is \(\frac{48 \sqrt{21}}{2,401}\).

The full question is in the attachment. From the unit circle

Substitute to f(x,y)

f(x,y) = x³y⁴ = x³ (y²)² = x³ (1 - x²)²

f(x,y) = x³ (1 - 2x² + x⁴)

f(x,y) = x³ - 2x⁵ + x⁷

df/dx = 3x² - (2 × 5)x⁴ + 7x⁶

df/dx = 3x² - 10x⁴ + 7x⁶

df/dx = x² (3 - 10x² + 7x⁴)

To find the maximum or minimum value, the derivated equals zero.

0 = x² (7x⁴ - 10x² + 3)

0 = x² (x - 1) (x + 1) (7x² - 3)

7x² - 3 = 0

Using ABC formula

\(x_{1,2} \:=\: \frac{-b \pm \sqrt{b^2 \:-\: 4ac}}{2a}\)

\(x_{1,2} \:=\: \frac{-0 \pm \sqrt{0^2 \:-\: (4 \times 7 \times - 3)}}{2 \times 7}\)

\(x_{1,2} \:=\: \frac{\pm \sqrt{4 \times 21)}}{14}\)

\(x_{1,2} \:=\: \frac{\pm 2 \sqrt{21}}{14}\)

\(x_{1,2} \:=\: \frac{\pm \sqrt{21}}{7}\)

The maximum value from x₁.

The minimum value from x₂.

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Answer:

i shall help

Step-by-step explanation:

what do you need help wit?

Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

Answer:

{1,2,3,4,5,6,7}

Step-by-step explanation:

2x-7<8

2x<8+7

2x<15

2x over 2 and also 15 over two

x<7.5 or 15 over 2

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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By identifying the maximum value (75) and the minimum value (59) in the data set, we can determine the range, which is 16 inches .

The range of a data set measures the spread or variability of the data. It is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 59 (the shortest height) and the maximum value is 75 (the tallest height) in the given data set.

Range = Maximum value - Minimum value

Substituting the values, we have:

Range = 75 - 59 = 16

Therefore, the range of the given data set is 16. This means that the heights of the students in the high school class range from a minimum of 59 inches to a maximum of 75 inches, with a difference of 16 inches between them.

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Answer:

y=-1/4x + 2

Step-by-step explanation:

The algebraic expression for this problem is given as follows:

2C - D = -2x² + 2x + 11.

The definition for C in this problem is given as follows:

C = x + 3.

We applying the distributive property to multiply by 2 as follows:

2C = 2(x + 3) = 2x + 6.

The definition for D in this problem is given as follows:

D = 2x² - 5.

The subtraction is then obtained as follows:

2C - D = 2x + 6 - (2x² - 5)

2C - D = 2x + 6 - 2x² + 5

2C - D = -2x² + 2x + 11.

Meaning that the second option is correct.

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Answer:

1) The volume of a hemisphere of radius R is equal to half the volume of a sphere of radius R.

Where the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

In this case, the radius is R = 10ft

And pi = 3.14

2) Now we can just solve that equation to get:

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

Where the (1/2) comes because the volume of the hemisphere is half the volume of a complete sphere, as we already said above.

4) We know that the volume of a cylinder is:

V = pi*(r^2)*h

where:

pi = 3.14

r represents the radius. The radius of the cylinder will be the same as the radius of the hemisphere, then r = 10ft

h is the height of the cylinder, in this case, h = 30ft

Then the volume is:

V = 3.14*(10ft)^2*(30ft) = 9,420 ft^3

The total volume is equal to the sum between the volumes of the cylinder and the volume of the hemisphere.

Then the total volume is:

Volume =  9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

1. How can you find the volume of a hemisphere?

The volume of a hemisphere is half the volume of a sphere. The volume of a sphere is equal to V = (4/3)*pi*R^3

2. What is the volume of the hemisphere? Show your work.

V = (4/3)*pi*R^3

We can substitute pi for 3.14 and R for 10, and since we are finding the volume of a hemisphere, we divide by 2.

V = (1/2)*(4/3)*3.14*(10ft)^3

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

3. What is the volume of the cylinder? Show your work.

The volume of the cylinder is 9,420ft^3

3.14*(10^2)*30=9,420

4. What is the total volume of the grain silo? Explain how you found your answer.

The total volume is 11,513.33 ft^3.

9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

\(9^{5}\) × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

\(9^{5}\) × 4³

Answer:

The line segment that is a chord is AE.

Hope it helps :)❤

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

x = 36.8698... ≈ 36.9°

Answer:

B , D

Step-by-step explanation:

domain

x - 3 ≠ 0

x ≠ 3

range

(x-3)y = 2 -7(x-3)

xy - 3y = 2-7x + 21

7x + xy = 3y + 21

x(7+y) = 3y + 21

x = 3/(7+y) + 21/(7+y)

y ≠ -7

Answer:

9/10

Step-by-step explanation:

There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.

Whatever the first digit is, there are 9 ways to make the 2nd digit different.

1/2-3/10=5-3/10=1/5 this is the answer

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

1

the equation (x-4)^2-17=8 has two solutions because it is in a quadratic form.

(x-4)^2-17=8

x²-8x+16-17-8=0

x²-8x-9=0

Doing middle term factorization

x²-9x+x-9=0

x(x-9)+1(x-9)=0

(x-9)(x+1)=0

either

x=9

x=9or

x=9orx=-1

2.

x^2+4x+3=0:

Doing middle term factorization

x²+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

either

x=-3

or

x=-1

Josh’s solution is incorrect because he missed x=-3.

3.

x^2-6x+7=0

By using quadratic equation formula:

Comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=7

Now

we have

x=\( \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \)

x=\( \frac{ 6± \sqrt{ {-6}^{2} - 4*1*7} }{2} \)

x=\( \frac{ 6±2\sqrt{ 2}}{2} \)

x=\( { 3±\sqrt{ 2}} \)

Taking positive

x=\( { 3+\sqrt{ 2}} \)

taking negative

x=\( { 3-\sqrt{ 2}} \)

Answer:

1. $13.78

2. 5.3lbs

3. $4.56

4. 30.44lbs

5. $32.07

Step-by-step explanation:

Simple addition and subtraction.