David bought a house for $150,000 in 2000. After 4 years, its value
increased to $190,000. Let x be the year since 2000, and y be the value of
the house. Write an equation to estimate the value of the house.

Matthew's monthly costs are $825.00, while his monthly expenses  is $696.60.

This comprises regular living costs like rent or a mortgage, electricity, a car payment, and gas, but it also includes sporadic costs like clothes, groceries, and haircuts.

$10.75 per hour times 18 hours equals $193.50 per week.

$193.50 times two pay periods equals $387.00.

$387.00 - 10% = $348.30

$2 paychecks a month times $348.30 equals $696.60 every month.

The monthly salary of Matthew is $696.60.

Matthew's Costs:

Rent = $450.00

$200.00 for food.

Cable, Internet, and Phone Together = $175.00

The sum of Matthew's monthly expenses is $825.00 (or $450.00 plus $200.00 plus $175.00).

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Answer:

12x7+55

Step-by-step explanation:

Answer:

139

Step-by-step explanation:

12+43=

55

12x7=

84

84+55=

139

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

\(\displaystyle \int_{0}^{\frac{\pi }{3}}~\sin(x)dx\implies \left.\cfrac{}{} -\cos(x)\right]_{0}^{\frac{\pi }{3}}\implies\left( -\cfrac{1}{2}\right) ~~ - ~~(-1)\implies \cfrac{1}{2}\)

Answer:

lol no34532534

Step-by-step explanation:

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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Answer:

Step-by-step explanation:

if quadratic

(-3)²+5=9+5=14

so f(x)=x²+5

or

if linear

(-3)+17=14

f(x)=x+17

if  cubic

(-3)³-2(-3)²-3(-3)+14=14

f(x)=x³-2x²-3x+14

so on.

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

4n + 11

Step-by-step explanation:

-2n + 6n = 4n

11 just stays as is

Answer:

4n + 11

Step-by-step explanation:

Combine like terms.

-2n + 11 + 6n = 4n + 11

For the given expression, the addition of coefficients is \(5x^2 + 2x - 7\).

In algebra, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In other words, it is the number that is being multiplied by the variable.

Addition is a basic mathematical operation that combines two or more numbers or quantities to produce a sum. It is denoted by the plus sign (+). When two or more numbers are added, the result is called the sum or total.

First, we need to combine like terms by adding the coefficients of terms with the same variable(s) raised to the same power.

\((6x^2 + 10x - 7) + (-x^2 - 8x)\)

\(= 6x^2 + (-x^2) + 10x + (-8x) - 7\) (grouping like terms together)

\(= (6x^2 - x^2) + (10x - 8x) - 7\) (rearranging terms)

\(= 5x^2 + 2x - 7\) (combining the coefficients)

Therefore, the final answer for the addition of coefficients is \(5x^2 + 2x - 7.\)

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Answer:

39/8

Step-by-step explanation:

4 times 8 is 32 and if you add 7 you get 39 now add the denominator and you get 39/8.

Hope this helps! :)

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Simplifying

4x2 + 8xy + 4y2

Reorder the terms:

8xy + 4x2 + 4y2

Factor out the Greatest Common Factor (GCF), '4'.

4(2xy + x2 + y2)

Factor a trinomial.

4((x + y)(x + y))

Final result:

4(x + y)(x + y)

The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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Answer:

Please give brainliest

Step-by-step explanation:

c

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

Answer:  x = -3/2

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

\(\dfrac{366}{378}\)

Step-by-step explanation:

The given information is summarized in the table below.

\(\left|\begin{array}{c|cc|c}$Age Bracket&$Respond&$Refuse to respond&$Total\\18-21&70&12&82\\22-29&272&24&296\\--&--&--&--\\$Total&342&36&378\end{array}\right|\)

Probability of getting someone in the 22-29 age bracket = 296/378

Probability of getting someone who agreed to respond = 342/378

Probability of both = 272/378

Therefore:

The probability of getting someone in the 22-29 age bracket or someone who agreed to respond

\(=\dfrac{296}{378} +\dfrac{342}{378} -\dfrac{272}{378} \\\\=\dfrac{366}{378} \\\\=0.9683\)

Answer:

yes it can my dear yesss trapezoids it can

Answer:

I am not sure about this one

Answer:

One ticket cost $10.90.

Step-by-step explanation:

The total spent was $98.50--food, drinks, admission--everything.

$44.00 was for food and drinks.

We can take the 44 away from the total.

98.50 - 44.00

= 54.50

They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.

54.50 ÷ 5 = 10.90



The price of one ticket was $10.90

To make this look like algebra class...

let x = the price of one ticket

5x = the price of 5 tickets

5x + 44 = 98.50

subtract 44

5x = 54.50

divide by 5

x = 10.90

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

40

Step-by-step explanation:

5 x 8 = 40

The answer would be 40 pages in 8 hours

The co-ordinates of the mid-point of the line PQ are (6,4).

From the question, we have

The point P has co-ordinates (10, 12) and the point Q has co-ordinates (2,-4).

Mid-point of the line PQ =(10+2)/2 , (12-4)/2

= (6,4).

Midpoint:

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places. When we know the coordinates of two points, we can apply the midpoint formula to get the midpoint between them. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.

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Answer:

How to solve your problem

−

7

2

−

2

2

+

3

−

2

+

5

3

−

2

-7y^{2}-2y^{2}+y^{3}y-2y+5y^{3}-2y

−7y2−2y2+y3y−2y+5y3−2y

Simplify

1

Combine exponents

−

7

2

−

2

2

+

3

−

2

+

5

3

−

2

-7y^{2}-2y^{2}+{\color{#c92786}{y^{3}y}}-2y+5y^{3}-2y

−7y2−2y2+y3y−2y+5y3−2y

−

7

2

−

2

2

+

4

−

2

+

5

3

−

2

-7y^{2}-2y^{2}+{\color{#c92786}{y^{4}}}-2y+5y^{3}-2y

−7y2−2y2+y4−2y+5y3−2y

2

Combine like terms

−

7

2

−

2

2

+

4

−

2

+

5

3

−

2

{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{4}-2y+5y^{3}-2y

−7y2−2y2+y4−2y+5y3−2y

−

9

2

+

4

−

2

+

5

3

−

2

{\color{#c92786}{-9y^{2}}}+y^{4}-2y+5y^{3}-2y

−9y2+y4−2y+5y3−2y

3

Combine like terms

−

9

2

+

4

−

2

+

5

3

−

2

-9y^{2}+y^{4}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}

−9y2+y4−2y+5y3−2y

−

9

2

+

4

−

4

+

5

3

-9y^{2}+y^{4}{\color{#c92786}{-4y}}+5y^{3}

−9y2+y4−4y+5y3

4

Rearrange terms

−

9

2

+

4

−

4

+

5

3

{\color{#c92786}{-9y^{2}+y^{4}-4y+5y^{3}}}

−9y2+y4−4y+5y3

4

+

5

3

−

9

2

−

4

{\color{#c92786}{y^{4}+5y^{3}-9y^{2}-4y}}

y4+5y3−9y2−4y

Solution

4

+

5

3

−

9

2

−

4

Answer:

15a + 35

Step-by-step explanation:

5(3a + 7) ← multiply each term in the parenthesis by 5

= 15a + 35