what is an expression for...

4x + 4x + 4x + 4x + 4x + 4x

Answer:

y = 3x

Step-by-step explanation:

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you two points. You can calculate slope with two points. Subtract the y's, 3-0, put that on top of a fraction. And subtract x's, 1-0, put that on the bottom of the fraction. The slope, m, is 3/1, which is 3.

slope:

m = 3-0 / 1-0 = 3/1 =3

The y-intercept is actually given in your problem. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the point where the x is 0. They gave you the point (0,0) that is the y-intercept. So b = 0.

Fill the m and b in with the given numbers!

y = 3x + 0 Simplify.

y = 3x

Answer: 800 calories

Step-by-step explanation:

Let us set this up as a fraction

Firstly, convert 3/4 into a decimal

\(3 \div 4 = 0.75\)

Now we can set up the fraction

Make sure to put the calories on the same side and hours on the same side as well. So it should be: \(\frac{200}{0.75}=\frac{x}{3}\)

Then, solve

\(\frac{200}{0.75}=\frac{x}{3}\)

The fractions are supposed to be proportional meaning, if the denominator is a certain number when solved, the numerator should be the same, if solve likely. let me show you:

Divide 3 by 0.75

\(0.75 \div 3 = 4\)

Now since the number isn't found yet, we will use the opposite operation, which is multiplication, in this case.

Multiply 200 to 4

\(200 \times 4 = 800\)

Therefore, she will burn 800 calories in a 3-hour workout.

(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).

To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.

The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:

f'(x) = -2cos(x)

Therefore, f'(34π) = -2cos(34π) = -2.

This means that the slope of the tangent line is -2 at x = 34π.

To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:

y - f(34π) = m(x - 34π)

Substituting the values we have found, we get:

y - (-2sin(34π)) = -2(x - 34π)

Simplifying, we get:

y = -2x + 68π + 2sin(34π)

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a. The average speed for the first part ≈ 2.067 meters per second.

b. The average speed for the second part ≈ 3.011 meters per second.

c. The average speed for the entire trip ≈ 2.374 meters per second.

d. The magnitude of the average velocity for the entire trip ≈  0.425 meters per second.

To solve this problem, we'll use the formulas for average speed and average velocity.

a. Average speed for the first part:

Average speed is calculated by dividing the total distance traveled by the total time taken.

In this case, the dog runs 18.4 meters in 8.90 seconds, so the average speed for the first part is:

Average speed = distance / time

Average speed = 18.4 meters / 8.90 seconds

Average speed ≈ 2.067 meters per second

b. Average speed for the second part:

Similarly, for the second part of the motion, the dog runs 12.8 meters in 4.25 seconds.

The average speed for the second part is:

Average speed = distance / time

Average speed = 12.8 meters / 4.25 seconds

Average speed ≈ 3.011 meters per second

c. Average speed for the entire trip:

To calculate the average speed for the entire trip, we need to consider the total distance and total time taken for both parts of the motion.

The total distance is the sum of the distances traveled in each part, and the total time is the sum of the times taken in each part.

Total distance = 18.4 meters + 12.8 meters = 31.2 meters

Total time = 8.90 seconds + 4.25 seconds = 13.15 seconds

Average speed = total distance / total time

Average speed = 31.2 meters / 13.15 seconds

Average speed ≈ 2.374 meters per second

d. Average velocity for the entire trip:

Average velocity takes into account both the magnitude and direction of the motion.

Since the dog runs in opposite directions for the two parts, its displacement for the entire trip is the difference between the two distances traveled.

The magnitude of average velocity is calculated by dividing the displacement by the total time taken.

Displacement = distance traveled in the first part - distance traveled in the second part

Displacement = 18.4 meters - 12.8 meters = 5.6 meters

Average velocity = displacement / total time

Average velocity = 5.6 meters / 13.15 seconds

Average velocity ≈ 0.425 meters per second

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Given:

Annual earnings = $17,500

Asked: What is the gross amount of her semimonthly paycheck?

Solution:

To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.

ANSWER: C. $729.17

Answer:

x=4 i did math

Step-by-step explanation:

Answer:

For 8 - 11

8. WX = 16

9. RW = 32

10 WZ = 15

11. QZ = 45

For 12 - 15

12. BD = 7

13. HB = 14

14. CB = 9

15. CK = 27

Step-by-step explanation:

look at the pictures

Answer:

20

Step-by-step explanation:

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

-3 < x - 10

+10      +10

------------------

7 < x

Answer:

x > 7

Step-by-step explanation:

-3 < x -10

=> x - 10 > -3

=> x > 10 - 3

=> x > 7

Answer:

-1, -1, 1/2, and 2

Step-by-step explanation:

Sorry if I’m wrong

Answer:

24p-8

Step-by-step explanation:

Perimeter just means add up all the sides

(10p+6)+(2p-10)+(10p+6)+(2p-10)

= 24p-8

The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

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The probability is approximately 0.048.

To find the probability that more than 26 reservations actually show up, we can use the binomial distribution. Let's define a success as a reservation showing up and a failure as a reservation not showing up.

Given that only 80% of reservations show up, the probability of success (p) is 0.8 and the probability of failure (q) is 1 - p = 0.2.

Since the restaurant accepts 29 reservations but only has 26 tables, we are interested in finding the probability of having more than 26 successes (reservations showing up).

Using the binomial probability formula, we can calculate this probability:

P(X > 26) = 1 - P(X <= 26)

where X follows a binomial distribution with n = 29 (number of trials) and p = 0.8 (probability of success).

Calculating P(X <= 26) using a binomial calculator or software, we find:

P(X <= 26) ≈ 0.952

Therefore, the probability of more than 26 reservations actually showing up (overbooking) is:

P(X > 26) = 1 - P(X <= 26) = 1 - 0.952 = 0.048

Rounding to 3 decimal places, the probability is approximately 0.048.

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One effect of glasnost was that A) governments in Eastern Europe introduced reforms.

The correct response is A) governments in Eastern Europe introduced reforms.

Glasnost, meaning "openness" in Russian, was a policy introduced in the Soviet Union by Soviet leader Mikhail Gorbachev in the 1980s. It aimed to promote transparency, political openness, and freedom of expression. While Glasnost primarily affected the Soviet Union, its impact also extended to Eastern European countries under Soviet influence.

As a result of Glasnost, governments in Eastern Europe began introducing reforms. The policy led to a loosening of restrictions on freedom of speech, press, and political dissent. It created an atmosphere of increased openness and public discussion, which facilitated demands for political and social change.

In countries such as Poland, Hungary, Czechoslovakia, and East Germany, the push for reform gained momentum. Popular movements and protests emerged, advocating for greater political rights, democracy, and economic reforms. This eventually led to significant political transformations, including the fall of communist governments in some Eastern European countries.

Therefore, the effect of Glasnost was that governments in Eastern Europe introduced reforms, marking a shift away from the rigid communist system and towards more democratic and open societies.

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a) The figure below shows the long-run model of a small open economy graphically that illustrates the impact of reducing the government's budget deficit on the exchange rate and the trade balance.

Axes are labeled in the diagram below. The vertical axis is the exchange rate and the horizontal axis is the trade balance. In the graph, "NX" represents the trade balance in the economy while "r" represents the real interest rate.

ii) The curvesThe curve labeled "NX" slopes downward because the trade balance declines as the real interest rate in the domestic economy increases. The curve labeled "r" is the positively sloping curve, representing the real interest rate in the economy.

iii) The initial equilibrium values The initial equilibrium is marked as point A in the diagram, with a trade balance of NX0 and a real interest rate of r0. The initial equilibrium exchange rate is marked by E0.iv) The direction the curves shift If the government cuts the budget deficit, it will reduce demand for funds, causing a decrease in the interest rate. This is illustrated by the r curve moving leftward to r1 in the graph. At the new interest rate, the trade balance will rise to NX1, as shown by the shift in the NX curve to the right. As a result of these changes, the exchange rate increases from E0 to E1.v) The new long-run equilibrium values The new long-run equilibrium is shown by point B in the graph. At point B, the exchange rate is higher at E1, and the trade balance is greater at NX1.b) The policy recommendation of Michel Camdessus will work based on the graphical analysis. When the government reduces its budget deficit, it reduces the demand for funds and, as a result, reduces the interest rate. As a result of the decrease in interest rates, investment in the economy will rise, raising output. An increase in output will increase demand for imports, reducing the trade balance. As a result, the exchange rate increases because a higher exchange rate reduces demand for exports, reducing the trade balance to the level at which saving equals investment in the economy.

Consequently, the policy recommendations of Michel Camdessus will work since the exchange rate and trade balance will both increase. The new long-run equilibrium will be reached at a higher exchange rate and trade balance in the long run, which will bring about more stability and sustainability.

Michel Camdessus recommended that the United States reduce its budget deficit in order to raise the exchange rate. The long-run model of a small open economy was used to illustrate graphically the impact of reducing the government's budget deficit on the exchange rate and the trade balance. The graphical analysis showed that if the government cuts the budget deficit, the exchange rate and trade balance will both increase. The new long-run equilibrium will be reached at a higher exchange rate and trade balance in the long run, which will bring about more stability and sustainability. Therefore, Mr. Camdessus's policy recommendation will work.

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The total square footage (area) of the apartment is 385 square feet.

The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.

First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is

=> 11ft * 11ft = 121 square feet.

Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is

=> 4ft * 6ft = 24 square feet.

Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is

=> 15ft * 16ft = 240 square feet.

Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is

=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.

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ANSWER

These three side lenghts form a right triangle

EXPLANATION

If the triangle is a right triangle, the side lenghts must satisfy the Pythagorean theorem. In a right triangle, the hypotenuse is always the longest side. Therefore, if it is a right triangle, the sum of the squares of the shorter sides must be equal to the square of the longest side:

Therefore, this is a right triangle.

A = L x W

W = A/L

W = 32/6

W = 5.333

Answer:

a and bwhich step did he make his first error simplifying the expression?

A

Step

Answer:

It will take 30 minutes

Step-by-step explanation:

Here, we want to calculate the time it will take for the three friends to be at the starting point again

What we do here is to note the time it will take for each of the three friends to run a lap

That will be 6 , 3 and 5

What we now need to know the time is to find the lowest common multiple of the three amount of time

The lowest common multiple of 6,3 and 5 is 30

So the amount of time it will take the friends to be at the starting point again is 30 minutes

The predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

To predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F, we will use the given regression line equation: y^ = 1425 - 19.87x.

Step 1: Substitute the value of x (mean temperature) with 30.
y^ = 1425 - 19.87(30)

Step 2: Perform the calculations.
y^ = 1425 - 596.1

Step 3: Simplify the equation.
y^ = 828.9

So, the predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

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step 1

Find the unit rate of the table

take two points

(7,8) and (21,24)

so

m=(24-8)/(21-7)

m=16/14

m=8/7

m=1.14

step 2

Find the unit rate of each line

These lines represent a proportional relationship (because passes through the origin)

that means

we need only one point to calculate the unit rate

Line 1

(1,3) -------> m=3/1=3

Line 2

(1,2) ------> m=2

Line 3

(1,1.5) -----> m=1.5

Line 4

(1,1) ------> m=1

therefore

because the unit rate is less than 2 and greater than 1.14

To solve this problem, we can use Newton's Law of Heating/Cooling, which states that rate of change of temperature of object is proportional to temperature difference between object and its surroundings.

First, we need to determine the rate of cooling. We know that after 4 minutes, the temperature drops from 23°C to 19°C. So the temperature difference is 23°C - 19°C = 4°C over 4 minutes.

Now, we can calculate the rate of cooling per minute. Since the rate of change of temperature is proportional to the temperature difference, we divide the temperature difference by the time difference: 4°C / 4 minutes = 1°C/minute.

Next, we need to find the temperature difference between the liquid and the surroundings when it reaches 5°C. The temperature difference is 23°C - 5°C = 18°C.

Finally, we can calculate the time required for the temperature to drop by 18°C using the rate of cooling per minute. Time = Temperature difference / Rate of cooling = 18°C / 1°C/minute = 18 minutes.

Therefore, it will take approximately 18 minutes for the liquid to reach a temperature of 5°C.

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The change to the rental agreement made by Larry Landlord without informing Telly is considered a breach of contract, specifically a material breach, which allows Telly to be discharged from the contract.

When a party to a contract makes a significant change to the terms of the agreement without the consent or knowledge of the other party, it is generally considered a breach of contract. In this case, Larry Landlord altered the rental agreement by doubling the monthly rent payment without informing Telly. Such a change is considered a material breach, as it substantially affects the terms of the contract and the obligations of both parties.

As a result, Telly is entitled to be discharged from the contract, meaning she is no longer bound by its terms and obligations. She may seek legal remedies or negotiate a resolution based on the breach.

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Answer:

18 /25

Step-by-step explanation:

Multiply

3/5  × 6/5  = 18/25

3 /5  × 6/5  = ( 3 × 6 ) over ( 5 × 5 )

= 18/25

The answer is here:

18/25

Answer:

180-61=119

Step-by-step explanation:

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise