Find the values for a and b. Image is attached

slope-intercept form:

y=25

piont-slope form:

y-25 =0×(x-74)

The formula is:

y-y1=m9(x-x1)

Given -

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

Answer:

28 sq. feet

Step-by-step explanation:

Given:-

To find:-

Solution:-

Area of rectangular bathroom mirror:- L × B

putting the values ,

Area :- 4 × 7 sq. feet

Area:- 28 sq. feet

The length of James' rectangular yard is 96 inches. To find the length of James' rectangular yard in inches, we need to use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter is 20 feet.

Since 1 foot is equal to 12 inches, we can convert the perimeter to inches: 20 feet * 12 inches/foot = 240 inches.
We also know that the width of the yard is 2 feet, so we can convert it to inches: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation: 240 inches = 2l + 48 inches.
Subtracting 48 inches from both sides: 192 inches = 2l.
Dividing both sides by 2: 96 inches = l.
Therefore, the length of James' rectangular yard is 96 inches.
The length of James' rectangular yard is 96 inches.
To find the length of James' rectangular yard in inches, we can use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter of his fence is 20 feet.

To convert the perimeter to inches, we need to multiply it by the conversion factor of 12 inches per foot.

So, 20 feet * 12 inches/foot = 240 inches. Next, we can find the width of the yard, which is given as 2 feet.

Again, we can convert it to inches by multiplying by 12 inches per foot: 2 feet * 12 inches/foot = 24 inches.

Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.

Simplifying the equation gives us 240 inches = 2l + 48 inches. To isolate the variable, we subtract 48 inches from both sides: 192 inches = 2l.

Finally, dividing both sides by 2 gives us the length of James' rectangular yard in inches: 96 inches.
Therefore, the length of James' rectangular yard is 96 inches.

To Know More about inches visit:

brainly.com/question/32203223  

#SPJ11

Stephanie would not be able to rescind the contract because she made a unilateral mistake, and it was not a bilateral mistake.

In contract law, a unilateral mistake occurs when one party to a contract is mistaken about a material fact related to the agreement. However, the general rule is that unilateral mistakes do not provide grounds for rescission of a contract. The reason for this is that contract law places a higher emphasis on the principle of enforceability and preventing one party from unilaterally avoiding their obligations based on their own mistake.

In this case, Stephanie's mistaken belief that the painting was directly painted by Van Gogh, rather than his student, constitutes a unilateral mistake. It is important to note that the art expert's opinion, though incorrect, did not induce Stephanie's mistake or misrepresent the nature of the painting. Stephanie made the decision to sell the painting to Charlie based on her own belief and understanding of its value.

Option d is the correct choice: No, because Stephanie made the mistake, and it was not a bilateral mistake. Stephanie's mistake was unilateral, meaning it was her own error in judgment. A bilateral mistake, on the other hand, occurs when both parties to a contract share a common misunderstanding or mistake about a material fact. In such cases, the contract may be voidable by either party since there was no true "meeting of the minds."

Moreover, the exchange of consideration further strengthens Charlie's position as a bona fide purchaser. Charlie purchased the painting for $15,000.00, and consideration is a fundamental element in the formation of a contract. Once consideration is exchanged, it signifies that the parties have entered into a binding agreement, and it may limit the grounds for rescission.

In conclusion, based on the unilateral nature of Stephanie's mistake and the presence of consideration, Stephanie would not be able to rescind the contract. Therefore, option d is the correct choice.

Learn more about bilateral here

https://brainly.com/question/28384137

#SPJ11

Answer:

1.5 seconds.

Step-by-step explanation:

f(x) = -16t^2 - 4x + 382

At 340 ft from the ground:

-16t^2 - 4x + 382 = 340

-16t^2 - 4x + 42 = 0

-2(8t^2 + 2x - 21) = 0

8 * -21 = -168 and we need 2 numbers whose product is -168 and sum = +2.

These are 14 and -12 se we write:

8t^2 - 12x + 14x - 21 = 0

4x( 2x - 3) + 7(2x - 3) = 0

(4x + 7)(2x - 3) = 0

x = -7/4, 3/2

so x = 1.5 seconds.

From the figure of the triangle, the length of LK is calculated to be 10

The knowledge used here is that of similar triangles.

In similar triangles the sizes of the triangles are not equal however the ratio of the sizes are equal

The formula for the similar triangle used here is:

JR / JL = SR / LK

from the given figure

JL = 2JR,  SR = 5

plugging the values into the equation gives

JR / 2JR = 5 / LK

1 / 2 = 5 / LK

LK = 10

The length of KL = 10 units

Learn more on similar triangles here: https://brainly.com/question/2644832

#SPJ1

Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

Answer:

$10.30

Step-by-step explanation:

X = 49.95 - (24.65 + 15)

x = 49.95 - 39.65

x =   10.30

Loss aversion can be explained as the fact that people tend to feel the negative consequences of loss more strongly than the positive effects of an equal gain. This means that people will often take risks in order to avoid a loss rather than in order to make a gain.

Loss aversion is typically modelled in a Prospect Theory value function. This function takes into account both the probability and magnitude of a gain or loss. The value function has two different curves, one for gains and one for losses. These curves are both steeper in the loss domain than they are in the gain domain. This means that losses are generally seen as more important than gains of the same magnitude. Let's take an algebraic example to illustrate this: Suppose that a person has to choose between two options: A 50% chance of winning $100 A sure win of $50In this case, a rational decision maker would choose option A, .

However, if the person has loss aversion, they might choose option B because the thought of losing $100 is too painful to bear. This is reflected in the value function, where the curve for losses is steeper than the curve for gains. b. A reference point can be defined as the starting point from which a person evaluates their gains and losses. This reference point can be subjective and will vary from person to person. However, once a reference point has been established, people will tend to evaluate gains and losses relative to this point. This means that they will view gains above this point as positive and losses below this point as negative. A reference point can be anything from a person's initial investment to their current wealth status. The reference point is important because it determines how people view the outcomes of their decisions.

To know more about consequences visit :

https://brainly.com/question/31038319

#SPJ11

34 inches have the same length of 0.0008636 kilometers.

Answer:

In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.

Step-by-step explanation:

Answer:

d + c ≤ 15

6*d + 7.50*c≥ 75

Step-by-step explanation:

  Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

In other words, an inequality is obtained by writing two numerical or algebraic expressions related to any of the symbols>, <, ≥ or ≤.

You know Tom's mom said that he can't work more than 15 hours to make sure he keeps up with his homework. That is, the number of hours walking the neighbor's dog added to the car wash should not exceed 15 hours, that is, it must be less than or equal to that amount. If d represents the number of hours walking your neighbor's dog and c represents the number of hours washing cars, then it is possible to represent this by the following inequality:

d + c ≤ 15 Inequality (A)

On the other hand, you know that Tom needs to earn at least $ 75 to cover the expenses of this weekend's prom. In other words, the money earned by walking dogs added to that earned by washing cars must be equal to or greater than $ 75. If Tom will walk his neighbor's dog for $ 6 an hour and wash cars for $ 7.50 an hour, then $ 6*d is the money earned walking dogs and $ 7.50*c is the money earned from washing cars. So this is represented by the inequality:

6*d + 7.50*c≥ 75 Inequality (B)

Then the system of inequalities that represents this situation is given by the Inequation (A) and the Inequation (B)

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

Learn more about random sample here:

https://brainly.com/question/30759604

#SPJ11

Answers:

deposition of eroded materials

Step-by-step explanation:

Answer: 4:18

Work:

2:9

2 inch:9 feet

2 · 9 = 18

2 · 2 = 4

4 inch:18 feet

Answer:

4

Step-by-step explanation:

revenue has to be greater than cost for a profit

revenue minus cost = profit

2x^2 – 20x + 70 - (–x^2 + 5x + 18) =

2x^2 – 20x + 70 + x^2 - 5x - 18 =

3x^2 – 25x + 52 ≤ 0

(x - 4) (3x - 13)  ≤ 0

x ≤ 4

x ≤ 13/3

since its multiple choice you can enter one of the answers where the x is to get the answer

if you don't know what the question is and are short on time this may help

again:

revenue has to be greater than cost for a profit

revenue minus cost = profit

cost is 2x^2 – 20x + 70

revenue is –x^2 + 5x + 18

cost is

2(4)^2 – 20(4) + 70 =

32-80+70 =

102-80 =

22

revenue is

–x^2 + 5x + 18

–(4)^2 + 5(4) + 18

-16+20+18

-16+38

22

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

cost is

2(5)^2 – 20(5) + 70 =

20

revenue is

–(5)^2 + 5(5) + 18

18

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

cost is

2(20)^2 – 20(20) + 70 =

470

revenue is

–(20)^2 + 5(20) + 18

-282

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

cost is

2(22)^2 – 20(22) + 70 =

598

revenue is

–(22)^2 + 5(22) + 18

-356

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

cost is

2(3)^2 – 20(3) + 70 =

28

revenue is

–(3)^2 + 5(3) + 18

24

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

cost is

2(2)^2 – 20(2) + 70 =

38

revenue is

–(2)^2 + 5(2) + 18

24

the answer is 3^5 because multiplication is done by adding the carriers

Answer:

x = 5

Step-by-step explanation:

Rewrite the equation

3^x+2=2187

perform prime factorization of the right side

2187=3^7

3^x+2 = 3^7

equate the exponents of 3 on both sides

x+2 = 7

solve for x

x=5

Answer:

1331 feet3

Step-by-step explanation:

Answer:

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Step-by-step explanation:

If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2.  If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

The least volume of 6.0 M HCl needed to dissolve the excess Mg is 0.028 L.

Calculate the moles of Mg and CuSO4:

Moles of Mg = (0.832 g) / (24.305 g/mol) = 0.0342 mol

Moles of CuSO4 = (1.794 g) / (159.609 g/mol) = 0.0112 mol

Determine the limiting reactant:

The mole ratio between Mg and CuSO4 is 1:1. Since the moles of CuSO4 (0.0112 mol) are less than the moles of Mg (0.0342 mol), CuSO4 is the limiting reactant.

Calculate the moles of excess Mg:

Moles of excess Mg = Moles of Mg - Moles reacted with CuSO4

= 0.0342 mol - 0.0112 mol = 0.0230 mol

Convert moles of excess Mg to grams:

Mass of excess Mg = Moles of excess Mg × Molar mass of Mg

= 0.0230 mol × 24.305 g/mol = 0.559 g

Determine the volume of 6.0 M HCl needed to dissolve the excess Mg:

Use the balanced chemical equation:

Mg + 2HCl → MgCl2 + H2

The stoichiometric ratio between Mg and HCl is 1:2. Therefore, the moles of HCl required will be twice the moles of excess Mg.

Moles of HCl required = 2 × Moles of excess Mg = 2 × 0.0230 mol = 0.0460 mol

Concentration of HCl = 6.0 M, so:

Volume of HCl (L) = Moles of HCl required / Concentration of HCl

= 0.0460 mol / 6.0 mol/L = 0.00767 L = 0.00767 × 1000 mL = 7.67 mL

Therefore, the least volume of 6.0 M HCl needed to dissolve the excess Mg is 7.67 mL.

For more questions like Volume click the link below:

https://brainly.com/question/1578538

#SPJ11

The consecutive even integers are 4,6 and 8.

An even number is a number that can be perfectly divided by 2. An example of an even number is 10. A consecutive even number is an even number that follows each other on the number line.

Let the first even number be represented with x

The second even number : x + 2

The third even number : x + 4

x + 2(x + 4) = 20

x + 2x + 8 = 20

3x = 20 - 8

3x = 12

x = 12 / 3

x = 4

The second even number : 4 + 2 = 6

The third even number : 4 + 4 = 8

To learn more about numbers, please check: https://brainly.com/question/21493341

#SPJ1

Answer:

92

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Answer:

The probability is 4/663

Step-by-step explanation:

In a standard deck of cards, we should know that there are 52 cards

The number of jacks are 4 are there are 4 aces also

The probability of drawing a Jack will be 4/52 or 1/13

Now, drawing an ace in this deck of cards means we have 4 our if 51 since we already too out a jack.

Thus the probability will be 4/51

So the probability of drawing a jack and then an ace will be ;

1/13 * 4/51 = 4/663

Answer:

C because it is not a right angle unlike the others

Step-by-step explanation:

Answer:

The product of x(x + 1) is x² + x

Step-by-step explanation:

x(x + 1)

x × x + x × 1

x² + x

Thus, The product of x(x + 1) is x² + x

-TheUnknownScientist

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

The radius of convergence of the series \(\sum\limits^{\infty}_{n=0}\frac{x^{n+4}}{4n!}\) is ∝

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

\(\sum\limits^{\infty}_{n=0}\frac{x^{n+4}}{4n!}\)

Given that a series takes the form

\(\sum\limits_{n=0}^{\infty} a_nx^n\)

The radius of convergence is:

\(r = \lim_{n\to\infty} \left|\frac{a_n}{a_{n+1}}\right|.\)

Here, we have

\(\sum\limits^{\infty}_{n=0}\frac{x^{n+4}}{4n!}\)

Rewrite as

\(\sum\limits_{n=0}^{\infty} \frac{x^4}{4n!} \cdot x^n.\)

This means that

\(a_n = \frac{x^4}{4n!}\)

And, we have the ratio to be

\(r = \frac{a_n}{a_{n+1}}\)

This gives

\(r = \frac{\frac{x^4}{4n!}}{\frac{x^4}{4(n+1)!}}\)

So, we have

\(r = \frac{x^4(n+1)!}{x^4n!}\)

Evaluate

\(r = \frac{(n+1)!}{n!}\)

r  = n + 1

Take the limits to infinity

So, we have

\(\lim_{n\to\infty} \left|\frac{a_n}{a_{n+1}}\right| = \lim_{n\to\infty} |n + 1|.\)

Evaluate

r = ∝

Hence, the radius of convergence is ∝

Read more about series at

https://brainly.com/question/6561461

#SPJ4

Complete question

Find the radius of convergence, r, of the series

\(\sum\limits^{\infty}_{n=0}\frac{x^{n+4}}{4n!}\)

Answer: volume of the cube is (7 cm)^3= 343 cm^3