At noon, a tank contained 8 cm of water. After several hours, it contained 6 cm of water. What is the percent decrease in the tank.

Let's assume 'x' represents the number of seven-letter words that Sal can make.

For each seven-letter word, Sal receives 50.37 points.

To determine if Sal can break the record of 18,000 points, we can set up the following inequality:

100 + 50.37x ≥ 18,000

This inequality states that the total points earned by Sal (100 + 50.37x) should be greater than or equal to 18,000 in order to break the record.

Therefore, the inequality to determine the number of seven-letter words (x) Sal needs to make to break the record is: The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive 100 + 50.37x ≥ 18,000.  

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Answer: $1626.10

Step-by-step explanation:

\(50 * 23 = 1150\\23 * 0.9 = 20.7\\20.7 * 23 = 476.1\\1150 + 476.1 = 1626.1\)

The particle q moves from x=2 to x=6 in the time interval (0,π]. The displacement of the particle during this interval is 4 units.

The displacement of the particle can be found by integrating its velocity function:

Δx = ∫_0^π (1-3cos(t^2/5)) dt

Using the substitution u = t^2/5, du = (2/5)t dt, we get:

Δx = (5/2) ∫_0^(π^2/5) (1-3cos(u)) du

Applying the integral rule ∫ cos(x) dx = sin(x) + C, we get:

Δx = (5/2) [(u - 3sin(u))]_0^(π^2/5)

Δx = (5/2) [(π^2/5) - 3sin(π^2/5)]

Δx ≈ 4

Therefore, the displacement of the particle during the interval (0,π] is approximately 4 units.

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The race result will not be disqualified due to an illegal wind.

In order to determine whether the wind velocity during the race was legal, we need to compare the wind velocity w to the legal wind speed limit of 5 km/hr. In this case, the wind velocity is given as 5ij km/h, which is purely vertical wind. The direction of the wind is not relevant in this case, since the race is run in the direction of the vector v, which is a purely horizontal direction. Since the wind velocity w is purely vertical and the race is run in a purely horizontal direction, the wind velocity w has no effect on the race result. Therefore, the race result will not be disqualified due to an illegal wind.

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Answer:

9 x x

Step-by-step explanation:

commutative property just means you can switch the numbers around

Recall that when y is inversely proportional to x, then

Given that y = -97 when x = 32, solve for k

Next, solve for y when k = -3104, and x = 13.

Rounding to the nearest hundredth, if x = 13, then y = -238.77.

Answer: C

Step-by-step explanation:

The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term

To find the seventh term of a geometric sequence, we can use the formula:

\(an = a1 * r^(n-1),\)

where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.

In this case, we are given a2 = -7 and r = 1/2.

Using the formula, we can find a1 by substituting n = 2:

a2 = a1 * (1/2)^(2-1).

We know that a2 = -7, so we can rewrite the equation:

-7 = a1 * (1/2)^1,

-7 = a1 * (1/2).

Now, let's solve for a1:

a1 = -7 * (2/1),

a1 = -14.

We have found that the first term, a1, is equal to -14.

Now, we can find the seventh term, a7, by substituting n = 7 into the formula:

a7 = (-14) * (1/2)^(7-1),

a7 = (-14) * (1/2)^6,

a7 = (-14) * (1/64),

a7 = -14/64,

a7 = -7/32.

Therefore, the seventh term of the geometric sequence is -7/32.

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It will take them 12 minutes to complete a lap at the same time.

A prime factor is any non-zero natural integer that can be divided only by itself and by 1. Actually, a few of the initial prime numbers are  and so forth. a sum which has been doubled to yield a new sum.

For example, if we divide 15 by Three and 5, you get 3 -5 = 15. major components: All prime but non-composite components are referred to as prime factors. a few 30 prime factors2, 3, or 5 are. It is essential to list 2 twice as (2 2 3 (or (22 3) in order to factors 12 since only 2 и 3 were primary elements of 12. 2 + 3 cannot be added to make 12.

Finding the lowest common multiple  of the time required for each person to do a lap will help us determine how long it will take Sean, Luis, and Heron to finish a lap simultaneously.

Brendan requires four minutes to complete a lap.

For Miguel, a lap takes 6 minutes to complete.

Heron need three minutes to finish a lap.

With 4, 6, & 3 as the LCM is 12. As a result, it will take Rory, Miguel, and Heron 12 minutes to finish a lap simultaneously.

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Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.

Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,

a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.

b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.

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the values or root of x and y. are

• x = 9

• y = 6√2

The right triangles are all similar, so the ratios of hypotenuse to short side are the same:

27/x = x/3

x^2 = 81 . . . . . multiply by 3x

x = 9 . . . . . . . . take the square root

Then y can be found from the Pythagorean theorem:

x^2 = y^2 + 3^2

81 - 9 = y^2 = 72 . . . . . subtract 9

y = √72 = 6√2 . . . . . . .take the square root

The values of x and y are 9 and 6√2, respectively.

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Answer:

Step 1: 2*5 - 4y = 2

Step 2: 10 - 4y = 2

Step 3: -4y = -8

Step 4: y = 2

Step-by-step explanation:

Answer: The error is the number of sides, it should be 9 sides and not 25. Correct is 1 260 degrees

Step-by-step explanation:

The error is the number of sides, it should be 9 sides and not 25.

Polygon sum of interior angles formula: 180 x (n-2)

So here n = 9 (sides)

180 x (9-2)

180 x 7 = 1 260 degrees

Answer:

sum of interior angles = 180 * n - 2

n = number of sides

in this case, the shape has 9 sides so n = 9

so the correct answer should be

= 180 * (9-2)

= 180 * 7

= 1260

Answer:3

Step-by-step explanation:

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We need to find the value of g(3).

From the question, we have

g(x)= x-1,  -2≤x<-1

g(x)= 2x+3, -1≤x<3

g(x)= 6-x,     x≥3

The value 3 is in the function g(x)=6-x

When x is 3

g(3)=6-3

Subtract 3 from 6.

g(3)=3

Therefore value of function g(3) is 3.

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Answer:

\(\displaystyle y + 4 = \frac{1}{4}(x + 5)\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-5, -4)

Slope m =  \(\displaystyle \frac{1}{4}\)

Step 2: Find Equation

Answer:

x= -21/4

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

-3=t/-15

t=-3*-15

t=45

Answer:

t=45

Step-by-step explanation:

-3 = t/-15

-3(-15) = t/-15(-15)    (multiply each side by -15 to get t by itself)

45 = t     (Simplify)

Answer:

1.5/3

Step-by-step explanation:

Answer:

-7x + 1

Associative Property can be used.

Step-by-step explanation:

Hello!

We can simply the expression by combining like terms.

Like terms are terms with the same variable and degree. They may have different coefficients.

The simplified form is 1 - 7x, or -7x + 1.

We can also represent this using the Associative property, by grouping like terms:

Answer:

rectangle

Step-by-step explanation:

can i have brainliest

Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

Answer:

what topic???????????????????

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

Step-by-step explanation:

Given sequence:

This is AP with:

The rule for the nth term of the sequence is:

Substitute values:

Answer:

4+2d

Step-by-step explanation:

2(3+d-1)

6+2d-2=6+(-2)+2d

=4+2d

A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

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