Barry used a number line to simplify a numerical expression on a math test.(Number line up top ) What would be the answer?

Answer:

-7 yards

Step-by-step explanation:

Might help to line everything up

First play: gained 8 yards (+8)

Second play: lost 6 yards (-6)

Third play: gained 3 yards (+3)

Fourth play: lost 12 yards (-12)

Then put it all together and solve (I'll solve left to right):

(8-6)+3-12

(2+3)-12

5-12

-7

The final change in yardage was -7 yards

Answer:

80,341.99

Step-by-step explanation:

pay each Month $80 for 19 years , interest measured 3%

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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The function is given as.

f(x)={(8,3),(4,1),(0,-1),(-4,-3) }​

The inverse function is determined as a function, which can reverse into another function.

Therefore the inverse function g(x) is obtained as

Hence the correct option is D.

Answer:

Food is brought for us by them.

Answer:

Food is brought for us by them.

Step-by-step explanation:

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer and Step-by-step explanation: Standard Deviation is the measure of how diferent a number is from the mean of the data set. It is the spread of a data set. To calculate it manually:

1) Find the mean of the data set. Mean, represented by μ, is the sum of all the values divided by the total number of elements forming the set;

2) Subtract each number with the Mean and square the result;

3) Add the differences and divide it by the total number of elements of the set;

4) Take the square root of the result and that is the Standard Deviation.

The calculations can be done by a calculator like Excel:

1) In each cell of a same column, write the data you want to know the deviation.

2) On the last cell, write: =stdev.p(A1:A10) or =stdev.s(A1:A10).

3) Press Enter. The deviation will appeared on the same cell.

The function STDEV.P is used when the data represents the entire population, whereas STDEV.S is used when the data is for a sample of the population. Inside the parenthesis, put the cells where your data is. For example, if you put your data in the column A, from cell 1 to cell 10, you write like it's written above.

ANSWERS

• Common ratio: 4

• Formulas

• Next 3 terms: 768, 3072, 12288

• 8th term: 49152

• 9th term: 196608

EXPLANATION

The common ratio is the number by which we have to multiply a term of the sequence to obtain the next. In this sequence, we can find the common ratio by dividing each term by the previous term,

Hence, the common ratio is 4.

The explicit formula for the nth term of a geometric sequence is,

Where r is the common ratio and a1 is the first term. For this sequence, a1 = 3 and r = 4, so the explicit formula is,

The recursive formula for the nth term of a geometric sequence is,

So for this sequence,

To find the next 3 terms it will be easier if we use the recursive formula so that we don't have to think about what number of terms is the last one we have. So if the last term we have is 192, the next one is,

And the next two terms are,

Hence, the next 3 terms are 768, 3072, 12288.

To find the 8th and 9th terms we use the explicit formula because we just have to replace n by 8 or 9 respectively and solve,

Hence, the 8th term is 49152 and the 9th term is 196608.

The solutions for the equation\(sin(3x + 2) = cos(5x) are x = π/4, 3π/4, 5π/4, 7π/4 or x = 45°, 135°, 225°, 315°.\)

It is a fundamental part of geometry and has applications in many areas of mathematics, science, engineering, and technology.

Trigonometry is based on three primary functions: the sine, cosine, and tangent. These functions relate the angles of a triangle to the lengths of its sides. The cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Trigonometry is used in a wide range of fields, including astronomy, physics, engineering, architecture, and navigation. It is used to calculate distances and angles in surveying, to calculate trajectories in physics, to design and build structures, and to navigate ships and aircraft. Trigonometry is also used in computer graphics and animation to create realistic 3D models and special effects.

Trigonometry is a complex subject that requires a strong foundation in algebra, geometry, and calculus. It is an important tool for solving real-world problems and has many practical applications in today's world.

To solve for x, we can use the identity \(sin^2(x) + cos^2(x) = 1\)and some algebraic manipulation:

sin(3x + 2) = cos(5x)

Square both sides:

\(sin^2(3x + 2) = cos^2(5x)\)

Use the identity \(sin^2(x) = 1 - cos^2(x) to get:1 - cos^2(3x + 2) = cos^2(5x)\)

Now we can use the identity\(cos(2x) = 1 - 2sin^2(x) to get:1 - cos^2(3x + 2) = 1 - 2sin^2(5x)cos^2(3x + 2) - 2sin^2(5x) = 0Use the identity cos^2(x) = 1 - sin^2(x) to get:1 - sin^2(3x + 2) - 2sin^2(5x) = 0\)

Simplify:

\(sin^2(3x + 2) + 2sin^2(5x) - 1 = 0\)

Now we can use the quadratic formula with \(sin^2(x)\) as the variable:

\(sin^2(x) = (-2 ± sqrt(4 - 4(1)(-1))) / 2(1)sin^2(x) = (-2 ± sqrt(8)) / 2sin^2(x) = -1 or sin^2(x) = 1/2\)

Since \(sin^2(x)\) is always between 0 and 1, we can discard the solution \(sin^2(x) = -1\). Thus, we have:

\(sin^2(x) = 1/sin(x) = ±sqrt(2)/2\)

The solutions for x are the angles between 0 and 2π (or 0 and 360°) that have sine equal to plus or minus the square root of 2 over 2. These angles are:

\(x = π/4, 3π/4, 5π/4, 7π/4\)

In degrees, the solutions are:

\(x = 45°, 135°, 225°, 315°\)

Therefore, the solutions for the equation\(sin(3x + 2) = cos(5x) are x = π/4, 3π/4, 5π/4, 7π/4 or x = 45°, 135°, 225°, 315°\)

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II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4\)

• using midpoints (M) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4\)

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

\(\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646\)

• M :

\(\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677\)

so T < M. (This eliminates "none of the functions".)

The correct place to the decimal is after 4 digits, that is 4431.5

Decimals are the numbers, having two parts, a whole number part and a fractional part separated by a point that point is called the decimal. For example, 7.5 is a decimal number.

Given that, Mary says the digits in the quotient of 381.109÷0.86 are 44315.

but she doesn't know where to place the decimal point.

The division is 381.109/0.86

Placing the decimals in numerator and removing from denominator,

Since, in the denominator the decimal is two digits before, so multiply numerator and denominator by 100,

38110.9/86

According to rule, put the decimal point in the answer at the same place it is at in the dividend,

38110.9/86 = 4431.5

Hence, she should put decimal before digit 5.

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Answer: 8

Step-by-step explanation:

Answer:

câu này là 500 nhen

$229.60

Principal = $200

Interest rate = 2.3% = 0.023

time = 6 years

We would apply a formula for contionus compounding:

Inserting the values into the formula:

Amount of money Kate will have after 6 years is $229.60

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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We are given the following:

Solve for y.

\(-y+28+y^2=2y+2y^2\)

This being said, lets begin.

~~~~~~~~~~~~~~~~~~~~~~~

1. First, move \(2y^2\) to the left side.

\(-y+28-y^2=2y\)

2. Move \(2y\) to the left side.

\(-y^2-3y+28=0\)

3. Solve with the quadratic formula.

\(y_{1,2} = \frac{-(-3) -+ \sqrt{(-3)^2-4(-1)*28} }{2(-1)}\)

4. \(\sqrt{(-3)^2-4(-1)*28}=11\)

   \(y_{1,2} =\frac{-(3)-+11}{2(-1)}\)

5. Separate the solutions.

\(y=\frac{-(-3)+11}{2(-1)} , y_{2} =\frac{-(-3)-11}{2(-1)}\)

6.

\(y=\frac{-(-3)+11}{2(-1)}\) \(=-7\) ← First Solution

7.

\(y=\frac{-(-3)-11}{2(-1)} =4\)   ←Second Solution

Final Solution:

\(y=-7,y=4\)

Hope this helps!

The median age of the 120 people seated in the first five rows of the concert was 31.

Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.

The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.

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Answer:

Step-by-step explanation:

You want to know the volume of a cylindrical container 6 inches in diameter and 4.5 inches high, and you want to know how many times larger this volume is than if the diameter were 4 inches.

The volume of a cylinder is given by the formula ...

  V = πr²h

where r is half the diameter, and h is the height.

The volume of your large popcorn container is ...

  V = 3.14·(3 in)²·(4.5 in) = 127.17 in³

The volume of the large container is 127.17 in³.

For a given height, the volume ratio is the square of the ratio of diameters. That ratio is given as 3/2, so the volume ratio is ...

  (3/2)² = 9/4 = 2.25

The large container is 2.25 times the volume of the small container.

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

hello

what you're trying to ask is two numbers that make up 734 right?

734 = 700 + 30 + 4

734 = 700 + 34

Answer: integer and rational

Step-by-step explanation:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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