Identify the linear equation.
A) y=x
B) y=|x|
\(c) y = {x}^{2} \)
\(d)y = \sqrt{x} \)
​

Answer:

x = -2.25

Step-by-step explanation:

Answer:

x = -2.25

Step-by-step explanation:

Add 15 to both sides of the equation

-6x - 15 = -1.5

-6x-15+15=-1.5+15

Simplify

-6x = 13.5

Divide both sides of the equation by the same term

-6x/6 = 13.5/6

Simplify

x = -2.25

The value of y is less than or equal to 0 (y ≤ 0).

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Given:

4y + 1/5 ≤ 4/5

We have to find the value of y.

Subtract 1/5 from both sides,

4y + 1/5 - 1/5 ≤ 4/5 - 1/5

               4y ≤ 3/5

Multiply both sides by 1/4

4y x 1/4 ≤ 3/5 x 1/4

y ≤ 3/20

y ≤ 0.15

Hence, the value of y is less than or equal to 0 (y ≤ 0).

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Answer:

9/25

Step-by-step explanation:

36% = 36/100 = 18/50 = 9/25

Answer:

0.36 is the lowest term and what 36% becomes, simplified.

Step-by-step explanation:

Probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.

What is probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

To find the probability that fewer than 70 in a random sample of 400 households are watching the series on a regular basis, we can use the binomial distribution.

The probability of observing x successes in a sample of size n with probability p of success is given by the following formula:

\(P(x) = (n choose x) * p^x * (1 - p)^(n-x) \\\)

In this case, we can set n = 400, p = 0.2, and x = 70. Plugging these values into the

gives us:

P(x < 70) = P(x = 0) + P(x = 1) + ... + P(x = 69)

To calculate P(x = 0), P(x = 1), etc., we can use a loop in Excel to calculate the probability for each value of x from 0 to 69.

The probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is then given by the sum of these probabilities.

Rounding to four decimal places, the probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.

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Answer:

9 p 4 s

Step-by-step explanation:

That's the answer.

A. 9 players 4 spots

In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.

All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)

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The company's debt-to-equity ratios (rounded to two decimal places) and current ratio are 31:69 and 1.64, respectively.

The debt to equity ratio is calculated as Total Liabilities / Total Shareholder Equity.

For the given year 9 data, Total Liabilities = 254,000 and Total Shareholder Equity = 336,000

So, debt to equity ratio = 254,000 / 336,000 = 0.754 = 75.4%

And, the debt to equity percentage rounded to 2 decimal places is 75.40%, so the ratio can be expressed as 31:69.

The current ratio is calculated as Total Current Assets / Total Current Liabilities.

For the given year 9 data, Total Current Assets = 83,000 and Total Current Liabilities = 149,000.

So, the current ratio = 83,000 / 149,000 = 0.556 = 0.56

And the current ratio rounded to 2 decimal places is 1.64.

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Step-by-step explanation:

The graphs are not give but the graph looks like the above picture.

Answer:

A. 250 + 4000w

Step-by-step explanation:

g(w) = 4w

v(g) = 250 + 1000g

So we can plug g and simplify it

v(g) = 250 + 1000(4w)

v(g) = 250 + 4000w

The expression that represents the total cost of games after w weeks is 250 + 4000w.

The two expressions are known as linear expressions. Linear expressions are made up of a single variable raised to the power of 1.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

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Answer:

=============================

Given 10 letters and we are looking for the number of 10-letter words.

This is about the permutation of 10:

Answer: Not enough information.

Step-by-step explanation:

    We will look at the answer options and the triangles shown to decide on our answer.

    We can tell we have one congruent side, as indicated by the hash line, and one congruent angle, as shown by the vertical angles.

   ➜ ASA needs two congruent angles and one side, we only have one angle.

   ➜ HL needs a congruent hypotenuse and a congruent leg, this is for right triangles only.

   ➜ SAS needs two congruent sides and one congruent angle, we only have one side.

        Since we only have one side, one angle, and no right angles, we do not have enough information to be sure if these triangles are congruent or not.

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer: 8squares

Step-by-step explanation:

Start by distributing the 2 through both terms inside the parentheses.

This gives us 2x + 14 + x = 20.

Now subtract 14 from both sides to get 2x + x = 6.

Now combine like terms on the left to get 3x = 6.

Now, dividing both sides by 3, we find that x = 2.

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

he total number of people who use at least two facilities is 4 + 45 = 49

Step-by-step explanation:

To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.

The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.

Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.

The circumference of a circle is equal to \(\pi\) times the length of the diameter of the circle (\(\pi\) is a constant which is approximately equal to 3.14).

If the value of a commodity decreases at a monthly rate of 0.8%, by 9.6 percentage it decreases in a year.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that, the value of a commodity decreases at a monthly rate of 0.8%,

We have to find by what percentage the rate decreases in a year.

If there are 12 months in a year, the rate decrease in a year obtained as,

=0.8 × 12

=9.6 %

Thus, if the value of a commodity decreases at a monthly rate of 0.8%, by 9.6 percentage it decreases in a year.

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In a year, the value of commodity decreases by 9.6%, at the monthly rate of 8%.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Monthly decrease rate of change in commodity = 0.8 %,

To find the percentage decrease in year,

Use ratio property,

In 1 month, commodity decreases 0.8%

In 12 months commodity decreases = 12 x 0.8 = 9.6 %

The value of commodity will decrease by 9.6% in a year.

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Anita should take 1st job with 500$ for a 40-hour work week with higher hourly rate.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Anita is offered 500$ for a 40-hour workweek.

So for one hour she will get paid is 500/40 = $12.5 hourly

The second offer is $12 hourly.

Therefore, she should take 1st job with 500$ for a 40-hour work week.

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Answer:

Step-by-step explanation:

The ratio of the number of fiction books is 9:4

 the difference between the number of fiction and nonfictionn is 245

so if the number of fiction books = 9x

then the number of nonfiction books = 4x

then difference = 9x-4x = 5x

the difference is given 245

then 5x= 245

x=\(\frac{245}{5}\)=49

number of fiction books =49×9=441

number of nonfiction books =49×4=196

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Answer:

The slope is 4

Step-by-step explanation:

hope this helps!

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.

The component form of vector v can be found by using the following formula:

V = ||V|| (cosθi + sinθj)

Therefore, the component form of vector v is given by:

V = 2 (cos3i + sin3j)

We can calculate the components by substituting the values for ||v|| and θ in the above formula.

Therefore, the x component of vector v is given by:

Vx = 2 cos3

Vx = 1.86

The y component of vector v is given by:

Vy = 2 sin3

Vy = 3.42

Therefore, the component form of vector v is given by:

V = 1.86 i + 3.42 j

This can be represented graphically as shown in the figure.

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

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Few families can survive on a single salary is true statement

Many families rely on dual incomes to make ends meet, especially in areas with high living costs.

However, there are still many families that rely on a single salary to support themselves.

While it may be challenging to make ends meet on a single salary, it is still possible for families to survive and even thrive in these circumstances.

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95% of the people the doctor expects to have hip replacement surgery will be between the ages of 47 and 63.

The definition of average is that it is the mean value, which is the ratio of the sum of the values in a particular set to all the values in the set.

The amount of variance from the mean is shown by the standard deviation.

Given that the standard deviation is 8 years and the average age is 55.

x=x0, where x0 and are the mean age and standard deviation, respectively, defines the relationship.

The standard deviation is 8 years, while the mean age is 55 years.

The answer is that 55+8=63 and 55-8=47.

Consequently, the age range is 47 years to 63 years.

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Answer:

\(\displaystyle 4^{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\displaystyle \frac{4^{-4}}{4^{-8}}\)

Step 2: Rewrite

Answer:

3.13

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm assuming that the barrel is in the shape of a cylinder..

Givens

r = 7

pi = 3.14

V = 2041.11

Formula

V = pi * r^2 * h

h = V / (pi * r^2)

Solution

h = 2041.11/(3.14 * 7^2)

H = 2014.11 / 153.86

H = 13.09

Answer:

shouldn't it be u-107=191 because if 107 LESS then u is 191 then you would subtract 107 from u to get the 191

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

The given parameters are:

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 *  -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point =  (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

Answer: Yes because they both have the same total

Step-by-step explanation: