–81 ≥ –6 – n Please help

Answer: The first problem the answer is 2.  

The second problems answer is 0

Hope this helps!

Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

Answer:

The answer is B: 226 ft

Step-by-step explanation:

Just did the assignment on edg

It will take 56.4091 days.  So B is the answer.

The number of mushrooms after n days can be found by using the formula:

number of mushrooms = 10 * 3^(n/10)

We want to find the value of n such that the number of mushrooms is 1000. We can use logarithms to solve for n:

n/10 = log3(1000/10)

n = 10 * log3(1000/10)

Using a calculator or logarithm table, we can find that:

n = 56.4091

So the answer is (B) 56.4091 days.

A logarithm is a mathematical function that calculates the power to which a given number (called the base) must be raised to produce a given value. In other words, it gives the exponent that the base must be raised to in order to equal the given value. The logarithm of a number to base b is written as logb(x), where x is the value and b is the base.

For example, if b = 10, then log10(100) = 2, because 10^2 = 100. If b = e (Euler's number), then loge(x) is called the natural logarithm.

Logarithms are useful in many areas of mathematics, science, and engineering, especially in solving exponential equations and working with logarithmic scales, such as audio decibels and pH levels.

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The polynomial fitting process can be used to find the formula for the nth term of a sequence.  In this example, the differences are 1, 3, 5, 7, 9. This suggests the formula is an = n^2 + 3n + 1.

To test this formula, we can substitute various values of n into the equation and check to see if it gives us the same results as the sequence. For example, when n = 1, the equation returns 4, which is the first number in the sequence. When n = 2, the equation returns 8, which is the third number in the sequence. When n = 3, the equation returns 13, which is the fourth number in the sequence. This suggests that the formula is indeed correct. We can also check that the formula works for larger values of n. When n = 4, the equation returns 20, which is the fifth number in the sequence. When n = 5, the equation returns 29, which is the sixth number in the sequence. Finally, when n = 6, the equation returns 40, which is the seventh number in the sequence. Therefore, the formula for the nth term of the sequence (an)n> is an = \(n^2\) + 3n + 1.

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The correct interpretation of the 90% confidence interval is given as follows:

There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).

It means that it is x% likely that the true population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.

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The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

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9514 1404 393

Answer:

  4. height: 5√3 cm; area: 25√3 cm²

  5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

  height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

__

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

  (30 ft)√2 ≈ 42.43 ft

__

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

  d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

The flux of the vector field f through the oriented rectangular region S is equal to zero.

The rectangular region S is shown in the x-y plane with the square D in it. The orientation of the rectangular region S is determined by the right-hand rule. The direction of the normal to the region S is given by the vector (0,0,-1).By using the divergence theorem, the flux of the vector field f through the oriented rectangular region S can be computed. The divergence theorem states that the flux of the vector field across a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.V = {(x,y,z): 0 ≤ x, y ≤ 1, 0 ≤ z ≤ 2}.Therefore, the flux of the vector field f through the oriented rectangular region S is equal to the volume integral of div f over V. We can express the vector field f in terms of its component functions: f(x, y, z) = (1, 4, -2). Thus, div f = 0. T

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The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Using the slope and y-intercept, the linear relationship is y = 512x

To find the equation of the linear relationship, we can proceed to use the formula of equation of a straight line. This is given as y = mx + c

The equation of a straight line is given as y = mx + c

Taking two points from the table;

(2, 512) and (15, 3840)

m = y₂ - y₁ / x₂ - x₁

m = 3840 - 512 / 15 - 2

m = 256

Using the slope to find the y - intercept;

y = mx + c

512 = 256(2) + c

512 = 512 + c

c = 512 - 512

c = 0

The equation of line is y = 512x

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Consider the given equation is \(17x-18=7x\).

Given:

\(17x-18=7x\)

To find:

The value of x.

Solution:

We have,

\(17x-18=7x\)

Adding 18 on both sides.

\(17x=7x+18\)

Subtracting 7x from both sides.

\(17x-7x=7x+18-7x\)

\(10x=18\)

Divide both sides by 10.

\(x=\dfrac{18}{10}\)

\(x=1.8\)

Therefore, the value of x is 1.8.

The values of the provided statics are 8, 4, and 9, but not 12 are solutions to y 9. (For 8, 4, and 9): Answer: No (for 12).

Statics is the study of internal and external forces acting on a structure. Statics is the branch of mechanics that studies bodies in motion. Statics is the study of systems in which momentum does not change, whereas dynamics is the study of systems in which momentum changes.

The values of y that meet the inequality for y 9 are those that fall below or coincide with 9.

y = 8 satisfies y ≤ 9 because 8 is less than 9.

y = 4 satisfies y ≤ 9 because 4 is less than 9.

y = 9 satisfies y ≤ 9 because 9 is equal to 9.

y = 12 does not satisfy y ≤ 9 because 12 is greater than 9.

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Answer:

I need you to be more specific and answer options. That is the only way anyone can answer this question.

Step-by-step explanation:

Answer:

Solution,

Volume of given prism:

\(l \times b \times h\)

\(10 \times 8 \times 6\)

\(480 \: {cm}^{3} \)

Hope this helps...

Good luck on your assignment..

Answer:

1/3

Step-by-step explanation:

6.908 is greater than 6.098 as the second digit from the left is greater.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, are two numbers 6.098 and 6.908.

Now, starting from left both the numbers have the same digit so we can't

differentiate.

The digit after the decimal place to the first number is 0 and on the second it is 9 so definitely, the second number is greater.

∴ 6.098 < 6.908.

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Answer: 33.66 because 10.2 x 3.3 gets the area

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.

When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.

This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.

Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.

Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.

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The distance between the van and Smithville is changing at a rate of 40.83 miles per hour.

To calculate how fast the distance between the van and Smithville is changing, we can use the following steps:

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Answer:

His average daily pay was $90.

Step-by-step explanation:

78+94+115+108+67+78=540

540/6= 90.

The temperature of the coffee at time t is:

T(t) = 20 + 70e^(-t/20)

A. To get the limiting value of the temperature of the coffee, we can use the fact that the temperature of the coffee is decreasing over time and that the rate of cooling is proportional to the temperature difference between the coffee and the room. As time goes to infinity, the temperature of the coffee will approach the room temperature. Therefore, we have:

limt → ∞ T(t) = Troom = 20°C

B. To obtain the limiting value of the rate of cooling, we can use the same reasoning as above. As time goes to infinity, the temperature difference between the coffee and the room will approach zero, and therefore the rate of cooling will approach zero. Therefore, we have:

limt → ∞ dT/dt = k limt → ∞ (T - Troom) = 0

C. To obtain the constant k, we can use the information that the coffee cools at a rate of 2°C per minute when its temperature is 60°C. The following equation:

dT/dt = k(T - Troom)

When T = 60°C, dT/dt = -2°C/min. Substituting these values into the equation above, we get:

-2 = k(60 - 20)

Solving for k, we get:

k = -2/40 = -1/20

D. To obtain the temperature of the coffee at time t, we need to solve the differential equation:

dT/dt = k(T - Troom)

We can separate the variables and integrate both sides to get:

∫1/(T - Troom) dT = ∫k dt

ln|T - Troom| = kt + C

where C is the constant of integration. Solving for T, we have:

T = Troom + Ce^(kt)

Using the initial condition that the temperature of the coffee is 90°C when t = 0, we get:

90 = 20 + Ce^(k*0)

90 - 20 = C

C = 70

Therefore, the temperature of the coffee at time t is:

T(t) = 20 + 70e^(-t/20)

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Answer:

<R = 26degrees

Step-by-step explanation:

Making <R as the reference angle

Adjacent side = 12.7

Hypotenuse = 14.1

Cos <R = adj/hyp

Cos <R = 12.7/14.1

Cos <R = 0.9007

<R = arccos(0.9007)

<R =25.7

<R = 26degrees

Answer:

A. 26°

Step-by-step explanation:

I took it on EDG

Answer:

w = 19 or w = -13

Step-by-step explanation:

Solve for w over the real numbers:

abs(w - 3) + 8 = 24

Hint: | Isolate terms with w to the left hand side.

Subtract 8 from both sides:

abs(w - 3) = 16

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

w - 3 = 16 or w - 3 = -16

Hint: | Look at the first equation: Solve for w.

Add 3 to both sides:

w = 19 or w - 3 = -16

Hint: | Look at the second equation: Solve for w.

Add 3 to both sides:

Answer: w = 19 or w = -13

The triangle in the figure is an obtuse triangle

There are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees. A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all interior angles, however, is always equal to 180 degrees.

In this triangle, we have one of the sides greater than 90 degrees.

This makes the triangle an obtuse triangle.

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Answer:

Under 1: $3.25

Under 3: $9.75

Under 5: $16.25

Cost for 15 pounds = $48.75

Answer:

1 pound= $3.25

3 pounds=$9.75

5 pounds=$16.25

15 pounds =$48.75

Step-by-step explanation:

1x3.25=3.25

3x3.25=9.75

5x3.25=16.25

15x3.25=48.75

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.