Consider all positive integers that are multiples of 10 and are less than or equal to 200. What fraction of those integers are multiples of 15?

A. 1/20

B. 3/20

C. 3/10

D. 2/5

E. 3/4

Mary's average monthly expense for housing is $2,129.93.

We need to add up all her annual housing expenses and divide the total by 12 (the number of months in a year):

Total annual housing expenses = mortgage payments + real estate taxes + annual insurance premium + maintenance + utilities

Total annual housing expenses = $14,169.20 + $3,960.00 + $840.00 + $1,410.00 + $5,180.00

Total annual housing expenses = $25,559.20

Average monthly expense = Total annual housing expenses ÷ 12

Average monthly expense = $25,559.20 ÷ 12

Average monthly expense = $2,129.93

Therefore, Mary's average monthly expense for housing is $2,129.93.

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Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

(3, 5) and (-4, 12)

Step-by-step explanation:

To solve this system of equations, we'll use the substitution method.

Plug in the given y = x² - 4 into the other equation

x + x² - 4 = 8

Subtract 8 from both sides

x² + x - 4 = 8

         - 8    - 8

x² + x - 12 = 0

Factor out the equation

x² + x - 12 = (x + 4)(x - 3) = 0

For the equation to be 0, x will have to equal -4 and 3

Now plug in the new x's into one of the original equations

We'll use y = x² - 4

y = (-4)² - 4 = 16 - 4 = 12

y = 3² - 4 = 9 - 4 = 5

When x = -4, y = 12, so one of the answers is (-4, 12)

When x = 3, y - 5, so one of the answers is (3, 5)

Answer:

A. (3, 5) and (–4, 12)

Step-by-step explanation:

I took the Algebra exam

Answer: 99

Step-by-step explanation:

Since the average of all four tests is 94:

\(\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99\)

Given the function h(x) = x² - 7x - 8. The extremum of the function is the minimum one and its value is h(x) = -32.5

The relation between symmetry of the graph and the extremum point is:

Suppose x = p is the line equation of the graph's symmetry, then f(p) is the extremum value.

The given function is:

h(x) = x² - 7x - 8

Find the x-intercepts:

h(x) = 0

x² - 7x - 8 = 0

(x + 1) (x - 8) = 0

x = -1 or x = 8

The symmetry lies in the middle of x-intercepts. Hence, the symmetry occurs at:

x = (-1 + 8) / 2

x = 3.5

The extremum point is:

h(3.5) = 3.5² - 7 x 3.5 - 8 = -32.5

Since the quadratic term x²  has a positive coefficient, the graph is open downward, hence the extremum point is the minimum one.

Complete question:

Find the extremum of each function using the symmetry of its graph. classify the extremum of the function as a maximum or a minimum and state the value of x at which it occurs. h(x) = x² - 7x - 8

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9514 1404 393

Answer:

Step-by-step explanation:

Each arc has the same measure as its central angle. The sum of all of them is 360°.

  angle UOG is marked as a 90° angle, so arc UG is 90°.

  angle GOX is marked as 122°, so arc GX is 122°.

  angle XOU fills out the rest of 360°, so its measure is 360° -90° -122° = 148°. That means are XU is 148°.

The arc measures are ...

We aim to prove that if the sequence of functions (fn) defined on [0, 1] is bounded and equi-continuous, then there exists a subsequence of (fn) that converges uniformly. By the Bolzano-Weierstrass theorem, we know that any bounded sequence has a convergent subsequence.

Using the Arzelà-Ascoli theorem, which states that a sequence of equi-continuous functions on a compact set has a uniformly convergent subsequence, we can conclude that (fn) contains a uniformly convergent subsequence.

Given that (fn) is bounded, we know that there exists a constant M such that |fn(x)| ≤ M for all x in [0, 1] and for all n in the natural numbers.

Now, since (fn) is equi-continuous, for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |fn(x) - fn(y)| < ε for all x, y in [0, 1] and for all n in the natural numbers.

By the Bolzano-Weierstrass theorem, the bounded sequence (fn) has a convergent subsequence. Let's denote this subsequence as (fnk), where k is an index in the natural numbers.

Applying the Arzelà-Ascoli theorem, which states that a sequence of equi-continuous functions on a compact set has a uniformly convergent subsequence, we can conclude that the subsequence (fnk) converges uniformly on [0, 1].

Therefore, we have proved that if (fn) is bounded on [0, 1] and equi-continuous, then there exists a subsequence of (fn) that converges uniformly.

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Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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Answer:

9.2(12+10.4)

Step-by-step explanation:

The average temperature of the coffee during the first 10 minutes is approximately 107.2 - (83.6)e^(-10/55) °C.

To solve for the average temperature of the coffee during the first 10 minutes, we need to evaluate the integral of the temperature function T(t) = 24 + 76e^(-t/55) over the interval [0, 10]. Let's perform the calculations:

Average temperature = (1 / (10 - 0)) * ∫[0, 10] (24 + 76e^(-t/55)) dt

Simplifying the integral:

Average temperature = (1 / 10) * ∫[0, 10] (24 + 76e^(-t/55)) dt

= (1 / 10) * [24t - 836e^(-t/55)] evaluated from 0 to 10

= (1 / 10) * [(24 * 10) - 836e^(-10/55) - (24 * 0) + 836e^(-0/55)]

= (1 / 10) * (240 - 836e^(-10/55) + 836)

= 240/10 - (836/10)e^(-10/55) + 836/10

= 24 - (83.6)e^(-10/55) + 83.6

= 107.2 - (83.6)e^(-10/55)

Therefore, the average temperature of the coffee during the first 10 minutes is approximately 107.2 - (83.6)e^(-10/55) °C.

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Answer:

2,2

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

Draw it on a coordinate grid...

Answer:

8 3/4 is a mixed number

Step-by-step explanation:

I don know how to explain

Answer:

They are disjoint.

Answer:

1. Not proportional

2. Proportional

3. Proportional

4. Not proportional

Step-by-step explanation:

A trick I used was to divide 3 by 7 and I got around 0.42.

Then I proceeded to type the fractions into the calculator to see which ones gave me 0.42.

Example: 12 divided by 28 is equal to about 0.42 so it is proportional

24 divided by 54 is not 0.42 so it is not proportional

Bail-in and bail-out are terms used in resolving bank failures. Bail-in involves the bank's stakeholders bearing the losses, while bail-out involves external financial support. Pros of bail-in include protecting taxpayers and promoting market discipline, while cons include potential contagion effects, complexity, and investor uncertainty. Bank regulators seek to improve bail-in frameworks to enhance financial stability and protect taxpayers.

Bail-in refers to a process in which a failing bank's creditors and shareholders are required to bear the losses incurred by the bank. In a bail-in, the bank's liabilities are written down or converted into equity, effectively recapitalizing the bank and restoring its solvency. This approach aims to ensure that the costs of the bank's failure are borne by the bank's stakeholders rather than taxpayers or the government.

On the other hand, a bail-out involves providing financial support to a failing bank by external sources, typically the government or a central bank. The bail-out involves injecting funds into the bank to prevent its collapse and maintain its operations. This approach aims to protect depositors and maintain stability in the financial system but can often place a burden on taxpayers.

Now let's discuss the pros and cons of using bail-in to resolve a bank failure.

Pros of using bail-in:

1. Protection of taxpayers: Bail-in reduces the burden on taxpayers by making the bank's stakeholders, such as bondholders and shareholders, responsible for covering the losses. This helps prevent moral hazard and ensures that the costs of the bank's failure are borne by those who have a stake in the bank.

2. Market discipline: Bail-in promotes market discipline by holding creditors and shareholders accountable for their investment decisions. This encourages better risk assessment and monitoring of banks by investors, as they become more cautious about investing in banks with higher risk profiles.

Cons of using bail-in:

1. Potential contagion effects: The implementation of bail-in measures can potentially lead to contagion effects in the financial system. If investors lose confidence in one bank, it may spread to other banks and institutions, causing a broader financial crisis.

2. Lack of clarity and complexity: Determining the appropriate allocation of losses and implementing a bail-in can be complex and challenging. There may be difficulties in accurately valuing assets, determining the order of creditor hierarchy, and navigating the legal and operational complexities involved.

3. Investor uncertainty: The possibility of bail-in may increase uncertainty among investors, leading to higher borrowing costs for banks and reduced market confidence. This can negatively impact the stability of the financial system.

In recent years, bank regulators have been seeking to improve their bail-in frameworks to enhance financial stability and protect taxpayers. They aim to establish clear rules and procedures for implementing bail-ins, ensure sufficient loss-absorbing capacity within banks, and enhance transparency and investor confidence.

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Answer:

12500

Step-by-step explanation:

25 * 40 = 1000

8% of what = 1000?

8/100 x = 1000

x 12500

The correct answer is a. A leading question.

A leading question is one that is designed to elicit a specific response or to influence the answer given by the respondent. In this case, the question is designed to lead the respondent to agree that they also liked the chocolate bar, as "most people" did. This type of question is often used in surveys and research studies to obtain desired results.

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Answer:

The answer is x=20

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

(x+21)+(2x+9)=90

x + 21 + 2x + 9 = 90

combine numbers on left side:

x + 30 + 2x = 90

combine x terms on left side:

3x + 30 = 90

subtract 30 from both sides:

3x + 30 -30 = 90 - 30

3x  = 60

divide  both sides by 3:

3x/3  = 60/3

x = 20

Answer:

157.98  \(in^2\)

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = \(\frac{1}{3}a^2h\)

Also,

Volume of the pyramid = 100 cubic inches

\(\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}\)

Surface area of the pyramid  \((S) =a\sqrt{4h^2+a^2}+a^2\)

So,

\(S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98\)

Surface area = 157.98  \(in^2\)

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = \(\frac{1}{3}(\text{Area of the base})\times \text{height}\)

100 = \(\frac{1}{3}\text{(Side)}^{2} \times \text{height}\)

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)

Since Lateral height = \(\sqrt{(h)^{2}+(\frac{S}{2})^{2}}\) [By applying Pythagoras theorem in the given triangle]

                                  = \(\sqrt{(5)^{2}+(3.873)^{2}}\)

                                  = \(\sqrt{25+15}\)

                                  = \(\sqrt{40}\)

                                  = 6.325 in.

Now area of lateral side = \(\frac{1}{2}(7.746)(6.325)\)

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

Answer:

Step-by-step explanation:

you are going to give more info ?????

Answer:

Step-by-step explanation:

Answer:

gradient= change in y intercept ÷change in x intercept

gradient=-2-0 ÷3-0

gradient=

Answer: (x,y) = (-6, 6)

Step-by-step explanation: I'm not very good at explaining but if you you follow this equation, (x1-x2, y1-y2) with (x1,y1) (5,5) and (x2,y2) being the function, that's how you get (-1,11)

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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Answer:

2992 or 2112

Step-by-step explanation:

$1,000 times 10% (0.1) = $100

$1,200 in a year.

$2,400 in a year + $1,000 originally = $3,400.

$3,400 * 0.12 = $408

#3,400 = $408 = $2,992.

Or..

$2,400 * 0.12 = $288

$2,400 - $288 = $2,112.

Answer:

volume =

\(3.14 \times 15 \times 15 \times 5 \\ = 3532.5cm {}^{2} \)

Answer:

x = \(-\frac{75}{32}\)

Step-by-step explanation:

10 = \(\frac{95}{2}\) + \(4^{2}\) * x

10 = \(\frac{5 * 19 }{2}\) + (\(2^{2}\))²x

10 = \(\frac{5 * 19 }{2}\) + \(2^{2*2}\) * x

x = \(-\frac{75}{32}\)

Hey there! I'm happy to help!

How many times does 30 minutes go into 60 minutes?

60/30=2

This means we are traveling 32 miles two times!

32(2)=64

Therefore, Kathryn and her mom drive 64 miles in an hour.

Have a wonderful day! :D

Answer:

25 and 1/3

Step-by-step explanation:

Answer:

17 minutes

Step-by-step explanation:

First distance in blocks and time.

x1= 8 b and t1 = 4 min

Second distance in blocks and time.

x2= 8 b and t2 = 6 min

Third distance in blocks and time.

x3= 24 b and t3 = 12 min

Fourth distance in blocks and time.

x4= 24 b and t4 = 17 min

Final distance in blocks and time.

x5= -24 b and t5 = 19 min

The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.

He spends 2 minutes, so t2 = 6 min.

Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.

He spends 5 minutes here, so t4 = 12 + 5 = 17 min.

Finally, he drove home at -12 b/min, so the time to get home will be:

t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.

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