Please help equation in picture(geometry)

The correct option is 80%

Raul's goal = $5000

Raul's sale = $4000

This week, the percentage of his goal which he has achieved is:

Answer:

\(wxy = 6 \times 147 \times 3.6 \\ = 3175.2\)

The third angle measure is 112°, and the triangle is an obtuse triangle.

A triangle has 3 angles, and the sum of all angles inside a triangle is 180°.

So, 22 + 46 + x = 180

x = 112°

Since the triangle contains an angle measure greater than 90° (the 46° angle), it is an obtuse triangle.

An obtuse triangle is a triangle with one angle measure greater than 90°. In this triangle, the angle measure of 46° is the obtuse angle, and the other two (22° and 112°) are acute angles. Obtuse triangles are often used in construction and engineering applications because of their stability. The third angle measure is 112°, and the triangle is an obtuse triangle.

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For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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Answer:

a4 = -10

Step-by-step explanation:

Our givens are:
\(a_1 = 10\\a_n = (-1)^n \cdot a_{n - 1} + 5\)

Since we do not know the value of a3 to substitute as \(a_{n - 1}\) to find a4, we'll find the terms prior to the fourth term by substituting their respective indices into the given formula, starting with n = 2 and incrementing by 1 each time.

\(a_1 = 10\\a_2 = (-1)^2 \cdot a_{2 - 1} + 5 = 1 \cdot a_1 + 5 = 10 + 5 = 15\\a_3 = (-1)^3 \cdot a_{3 - 1} + 5 = -1 \cdot a_2 + 5 = -15 + 5 = -10\\a_4 = (-1)^4 \cdot a_{4 - 1} + 5 = 1 \cdot a_3 + 5 = -10 + 5 = -5\)

Therefore, a4 = -10.

Answer:

Step-by-step explanation:

domain is x = input = {3, 6, 12, 18}

Range is y = output = {5, 7, 9, 10}

for x = 6 y has two values y = 5, 10

so it is not a function

If the first cube has a volume of 125 cm³ and the second cube has a volume of 343 cm³, the difference in the area of one face of the second cube and the area of one face of the first cube is 24cm². The answer is B. 24 cm².

To find the difference in the area of one face of each cube, we first need to find the side length of each cube. Since the volume of a cube is equal to the side length cubed (V = s³), we can find the side length by taking the cube root of the volume.

For the first cube:
Volume = 125 cm³
Side length = cube root of 125 = 5 cm

For the second cube:
Volume = 343 cm³
Side length = cube root of 343 = 7 cm

Next, we find the area of one face of each cube. The area of one face of a cube is equal to the side length squared (A = s²).

Area of one face of the first cube:
A1 = 5² = 25 cm²

Area of one face of the second cube:
A2 = 7² = 49 cm²

Finally, find the difference in the area of one face of each cube:
Difference = A2 - A1 = 49 cm² - 25 cm² = 24 cm²

The answer is B. 24 cm².

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Answer: Brand A and Brand C have the same unit cost.

Step-by-step explanation:

Here's the complete question:

Ken was pricing ingredients for a recipe he was planning to make for a dinner party. The store sold 4 different brands of the same type of product.

Brand A 8 oz $2.88

Brand B 4.5 oz $1.44

Brand C 5 oz $1.80

Brand D 4 oz $1.20

Which statement about the unit costs of the different brands is true?

a. Brand A and Brand C have the same unit cost.

b. Brand C has a lower unit cost than Brand B.

c. Brand D has a higher unit cost than Brand A.

d. Not here

Brand A 8 oz $2.88. The unit cost will be: = $2.88 / 8 = $0.36

Brand B 4.5 oz $1.44. The unit cost will be: = $1.44 / 4.5 = $0.32

Brand C 5 oz $1.80. The unit cost will be: = $1.80 / 5 = $0.36

Brand D 4 oz $1.20. The unit cost will be: = $1.20 / 4 = $0.30

Based on the calculations above, Brand A and Brand C have the same unit cost.

The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets

From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.

The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.

Let the number of children tickets = x

Number of adults ticket = 3x

Therefore, this will be illustrated as:

18(3x) + 12(x) = 1980

54x + 12x = 1980

66x = 1980

Divide

x = 1980 / 66

x = 30.

Children ticket = 30

Adult tickets = 30 × 3 = 90

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Answer:

1225.50

Step-by-step explanation:

14% of 1075 =0.14 x 1075=150.5

1075 +150.5 = 1225.5

The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

The total cost before tax was $1,075.

The tax rate is 14%

14% of $1075 will be,

(14/100)1075 = $150.5

Total cost includes tax = $1075 + $150.5 = $1225.50

Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".

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Answer:

C

Step-by-step explanation:

Juan's first step to solve the distributive property will be to distribute 4 to (6 – x). The correct option is C.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Given that Juan wants to solve the equation below using the Distributive Property 4(6 – x) = 12.

The equation can be solved as:-

4(6 – x) = 12

24 - 4x = 12

4x = 36

x = 9

Hence, the value of x is 9 when the equation is solved by distribution.

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Answer:

23 or 23.00

Step-by-step explanation:

Im very very intelligent

True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.

Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.

The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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By engaging in these exercises, students can develop a deeper understanding of conditional statements and logical reasoning, which are essential skills for further studies in mathematics and logic.

In Unit 2 of a logic and proof course, homework 3 focuses on conditional statements.

Conditional statements are fundamental concepts in logic and mathematics, representing logical implications between two statements.

They are typically expressed in "if-then" format, where the "if" part is the hypothesis and the "then" part is the conclusion.

The homework may involve tasks such as:

Identifying conditional statements: Students are given a set of statements and asked to identify which ones are conditional statements.

They need to recognize the "if-then" structure and correctly identify the hypothesis and conclusion.

Analyzing the truth value of conditional statements:

Students may be given conditional statements and asked to determine whether they are true or false.

They need to evaluate the hypothesis and conclusion to determine if the implication holds in each case.

Writing converse, inverse, and contrapositive statements:

Students may be required to manipulate given conditional statements to form their converse, inverse, and contrapositive statements.

This involves switching the positions of the hypothesis and conclusion or negating both parts.

Applying the laws of logic:

Students may need to apply logical laws, such as the Law of Detachment or the Law of Modus Tollens, to deduce conclusions based on conditional statements.

Constructing counterexamples:

Students may be asked to provide counterexamples to disprove statements that are falsely claimed to be universally true based on a given conditional statement.

They also help students develop critical thinking and problem-solving abilities, as they have to analyze and manipulate logical structures.

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Events a and b are not independent. The probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28).

If events a and b were independent, the probability of both events occurring would be the product of their individual probabilities (P(a) x P(b)). However, in this scenario, the probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28). This suggests that the occurrence of one event affects the occurrence of the other, indicating that they are dependent events.

Independence between events a and b refers to the idea that the occurrence of one event does not affect the probability of the other event occurring. In other words, if events a and b are independent, the probability of both events occurring is equal to the product of their individual probabilities. However, in this scenario, we are given that the probability of event a occurring is 0.7, the probability of event b occurring is 0.4, and the probability of both events occurring is 0.2. To determine whether events a and b are independent, we can compare the probability of both events occurring to the product of their individual probabilities. If the probability of both events occurring is equal to the product of their individual probabilities, then events a and b are independent. However, if the probability of both events occurring is less than the product of their individual probabilities, then events a and b are dependent.

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Answer:

16/1071

Step-by-step explanation:

The average is the given by summing all the numbers and deciding by how many numbers you have

So, the answer is given by:

(-1/12 + 4/17 - 3/28) / 3 which yields to 16/1071

We cannot calculate the quick ratio for 2017 as the given data does not contain the balance sheet for 2017. However, we can calculate the quick ratio for 2021 using the given information. The quick ratio for 2021 is 1.54.

Quick ratio is a liquidity ratio that calculates a firm's ability to pay off its current liabilities with quick assets. Quick assets are the liquid assets that can be easily converted into cash within 90 days.

Quick ratio formula:

Quick ratio = (Current assets - Inventories) / Current liabilities

In the given information, we have the following details for the year 2021: Current assets = Cash + Accounts receivable + Inventory = 280 + 940 + 1725 = $2945 million

Current liabilities = Accounts payable = $1435 million

Inventory = $1725 million

Therefore, Quick ratio = (2945 - 1725) / 1435= 1.54 Hence, the quick ratio for 2021 is 1.54.

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Answer:

Step-by-step explanation:

Finding the answer to the second box is easy. Just look at where the line hits the y axis. That point is (0,5). Put a 5 in the second box.

-2

Now pick two points How about (0,5) and (2,1)

Givens

y2 = 5

y1 = 1

x2 = 0

x1 = 2

Formula

m = (y2 - y1) / (x2 - x1)

m = (5 - 1)/(0 - 2)

m = 4 / - 2

m = - 2

Answer

So the first box contains - 2

Answer:

1/3

that is the answer

Answer:

90 + 20 = 110

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

A real number is said to be rational if it's the quotient (or the ratio, and thus the name rational) of two whole numbers. For example, 0.2 is rational because 0.2=1/5; 0.4444... is rational because 0.4444... =4/9; and so on.

Answer: -27/8

Step-by-step explanation:

\(\left(-\frac{1}{2}\cdot \:3\right)^3\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\)

\(\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3\)

\(=-\left(\frac{1}{2}\cdot \:3\right)^3\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n\)

\(\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3\)

\(=-\left(\frac{1}{2}\right)^3\cdot \:3^3\)

\(=-\frac{1}{8}\cdot \:3^3\)

\(=-\frac{1}{8}\cdot \:27\)

\(=-\frac{27}{8}\)

Answer:

20/100=0.20

0.20$(58) +$58

option A

Answer:

a) that would cost 7.00 pounds

b) two packages of the 2kg and one package of 1kg, and that would cost 6.70 pounds

Step-by-step explanation:

The maximum number of Centerpieces that could be made by the florist with the given number of roses and carnations is 14.

To Determine the maximum number of centerpieces, we have to find the Least Common Multiple of the given number of Roses and Carnations.

The given values are:

Roses = 56

Carnations = 70

Taking all the factors of both numbers,

we can write them as,

Roses = 1 * 2 * 4 * 7

Carnations = 1 * 2 * 5 * 7

Then, the common factors would be,

= 1 * 2 * 7

= 14

From this we can conclude that the maximum number of centerpieces of roses and carnations that can be made by the florist is 14

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