Year
Quantity
Price pizza
Price ice cream
Income Growth
1
33,500
4.40
4.09
-1
2
92,600
4.79
3.56
3
3
32,400
4.08
4.15
1
4
81,700
3.47
4.18
0

To determine the surface area of the box, we need to find the area of each of its six sides and add them together. Let's start with the top and bottom of the box, which are both rectangles with length l and width w. The area of one of these rectangles is: l x w = 21 ft x 6 ft = 126 sq ft

Since there are two of these rectangles (top and bottom), we need to multiply this by 2 to get the total area of both:
2 x 126 sq ft = 252 sq ft

Next, let's look at the four vertical sides of the box, which are also rectangles. Each one has a height of h and a width of either l or w. The area of one of these rectangles is:
h x l = 8.5 ft x 21 ft = 178.5 sq ft

Again, there are two of these rectangles (front and back) with area 178.5 sq ft each, and two more (left and right) with area w x h = 6 ft x 8.5 ft = 51 sq ft each. So the total area of all four vertical sides is:
2 x 178.5 sq ft + 2 x 51 sq ft = 409 sq ft

Finally, we can add up the areas of all six sides to get the total surface area of the box:
252 sq ft + 409 sq ft = 661 sq ft

Therefore, the surface area of the box is 661 square feet.

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Answer:

the denominator can be 20 or 40.

Step-by-step explanation:

If the fractions are 3/4 and 6/5

The sum will be (15 +24)/20=39/20.

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Answer: object A

Step-by-step explanation:

The equation that can be used to find the number of weeks, w, it will take Jakob to spend $84 on lunch is "3.50w = 84".

In the equation, the variable w represents the number of weeks, and 3.50 represents the cost of each lunch. By multiplying the cost per lunch, $3.50, by the number of weeks, w, the equation calculates the total amount spent on lunch, which is equal to $84.

To find the number of weeks, we can solve the equation by dividing both sides by 3.50. This gives us "w = 84/3.50", which simplifies to approximately "w = 24". Therefore, it will take Jakob approximately 24 weeks to spend $84 on lunch, given that he buys lunch on Mondays, Wednesdays, and Thursdays for $3.50 per lunch.

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The distance covered is. 90 miles

Speed is the distance an object travels in a given time.

This is represented as

Speed = Distance ÷ Time

We can also use the speed formula to calculate the distance or time by substituting the known values in the formula for speed and further evaluating,

Distance = Speed × Time or,

Time = Distance/Speed

To find the distance covered, we find the total speed

= 5 + 10(twice as fast on the trip back)

= 15

Distance = speed x time

= 15mph x 6hours

= 90miles

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Answer:

\(m = \frac{y_ 2 -y_ 1}{x_ 2 -x_ 1 } \\ = \frac{ - 1 - 19}{ - 5 - 5} = \frac{ - 2 0 }{ - 10} \\ \therefore \: m = 2 \\ y + 1 = 2(x + 5)\)

Answer:

according to how i see all numbers are rational

Answer:

Rational:

0.63

-15.5

-11/4

2 1/2

NOT Rational:

-25.348197

0.314587

Step-by-step explanation:

hope this helps ya (⁠ ⁠╹⁠▽⁠╹⁠ ⁠)

The physics student predicted that a force of 377.28N would be needed to stretch the spring by 15 cm using the regression model.

The relevant points from the regression model are

B. He predicted something that was outside the range of forces seen.

C. He predicted something that was outside the range of stretched distances that were observed.

D. His data contained outliers or significant points.

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The tangential component (at) of the acceleration vector is 0, and the normal component (an) is -cos(t)i - sin(t)j.

To find the tangential and normal components of the acceleration vector, we first need to find the acceleration vector by taking the second derivative of the position vector.

Given the position vector r(t) = cos(t)i + sin(t)j + tk, we can find the velocity vector by taking the derivative with respect to time:

v(t) = dr/dt = -sin(t)i + cos(t)j + k

Next, we find the acceleration vector by taking the derivative of the velocity vector:

a(t) = dv/dt = -cos(t)i - sin(t)j

Now, let's decompose the acceleration vector into its tangential and normal components.

The tangential component (at) is the component of acceleration in the direction of the velocity vector v(t). To find it, we project the acceleration vector onto the velocity vector:

at = (a(t) · v(t)) / |v(t)|

where (a(t) · v(t)) denotes the dot product of the two vectors, and |v(t)| is the magnitude of the velocity vector.

Let's calculate the tangential component:

a(t) · v(t) = (-cos(t)i - sin(t)j) · (-sin(t)i + cos(t)j + k)

= cos(t)sin(t) - sin(t)cos(t)

= 0

|v(t)| = |(-sin(t)i + cos(t)j + k)|

= √(sin^2(t) + cos^2(t) + 1)

= √(1 + 1)

= √2

Therefore, the tangential component (at) is:

at = (0) / (√2)

= 0

The normal component (an) is the component of acceleration perpendicular to the velocity vector v(t). It can be calculated by taking the difference between the acceleration vector and its tangential component:

an = a(t) - at * (v(t) / |v(t)|)

Substituting the values:

an = (-cos(t)i - sin(t)j) - (0) * (-sin(t)i + cos(t)j + k)

= -cos(t)i - sin(t)j

Therefore, the normal component (an) is:

an = -cos(t)i - sin(t)j

In summary, the tangential component (at) of the acceleration vector is 0, and the normal component (an) is -cos(t)i - sin(t)j.

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The equation will be 5r + 1.25b = 20. This represents the beef and radishes to buy.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner.

Let b = number of pounds of beets Sasha buys.

Let r = number of pounds of radishes she buys when she spends all her money on this salad.

The equation will be 5r + 1.25b = 20

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Complete question

Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner. Let b be the number of pounds of beets Sasha buys and r be the number of pounds of radishes she buys when she spends all her money on this salad. Illustrate the equation

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

The person's survey that the most people drink at least 64 ounces of water is Douglass.

In the first case, Joes reported that 14 of the 36 people he surveyed drink at least 64oz. of water. This will be:

= 14/36

= 0.389

Nicole reported that 2/5 of the people she surveyed drink at least 64oz. of water. The decimal will be:

= 2/5

= 0.40

Douglas reposted that 0.55 of the people he surveyed drink at least 64oz of water.

From the information, Douglass has the highest decimal.

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The range of h(x) is: {-27, -13, -3, 3, 5}.

So, the correct answer is: {-27, -13, -3, 3, 5}.

The range of a quadratic function is the set of all possible outputs (y-values) of the function. In this case, the range of h(x) is given by the set of ordered pairs (x, h(x)) where x = -1, 0, 1, 2, 3, 4, 5.

The range of h(x) is: {-27, -13, -3, 3, 5}.

So, the correct answer is: {-27, -13, -3, 3, 5}.

a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function. Prior to the 20th century, the terms "quadratic polynomial" and "quadratic function" were practically interchangeable since it was difficult to distinguish between a polynomial and the related polynomial function. This is still the case in many elementary courses where "quadratic" is frequently used to refer to both words.

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Finally, we can simplify by combining like terms and expressing the answer using positive exponents only: g'(x) = 32x³(2x⁴ + 9)(x⁹ − 21x⁷ + 147x⁵ − 343x³ + 343x) + (2x⁴ + 9)²(117882x² - 588x³ + 686x)².

In calculus, the derivative is a mathematical concept that describes how a function changes as its input (also known as the independent variable) changes. It measures the rate at which the function is changing at a specific point, which is the slope of the tangent line to the curve of the function at that point. The derivative of a function f(x) is denoted as f'(x) or df(x)/dx and represents the instantaneous rate of change of the function with respect to its input x. The derivative can be used to find the maximum and minimum values of a function, to calculate the slope of a curve, and to solve optimization problems in various fields such as physics, engineering, and economics.

Here,

We will use the chain rule and product rule to find the derivative of the function g(x) = (2x⁴ + 9)²(x³ − 7x)³:

g(x) = (2x⁴ + 9)² (x³ − 7x)³

g'(x) = 2(2x⁴ + 9)¹(8x³)(x³ − 7x)³ + (2x⁴ + 9)²(3x²-7)(3x²-7x)²

Simplifying this expression gives:

g'(x) = 16x³(2x⁴ + 9)(x³ − 7x)³ + (2x⁴ + 9)²(3x²-7)(3x²-7x)²

We can further simplify this expression by distributing the factors and combining like terms:

g'(x) = 32x³(2x⁴ + 9)(x⁹ − 21x⁷ + 147x⁵ − 343x³ + 343x) + (2x⁴ + 9)²(117882x² - 588x³ + 686x)²

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Answer:

hmmmmmm hold up so I cant see witch are the answer

Approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. The approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

The empirical rule is a rule of thumb that states that, in a normal distribution, almost all of the data (about 99.7 percent) should lie within three standard deviations (denoted by σ) of the mean (denoted by μ). Using this rule, we can determine the approximate percentage of women who have platelet counts within two standard deviations of the mean or between 118.4 and 374.8.

The mean is 2466, and the standard deviation is 64.1. The range of platelet counts within two standard deviations of the mean is from μ - 2σ to μ + 2σ, or from 2466 - 2(64.1) = 2337.8 to 2466 + 2(64.1) = 2594.2. The approximate percentage of women who have platelet counts within this range is as follows:

Percentage = (percentage of data within 2σ) + (percentage of data within 1σ) + (percentage of data within 0σ)= 95% + 2.5% + 0.7%= 98.2%

Therefore, approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. (Type an integer or a decimal. Do not round.)

The lower limit of the range of platelet counts is 182.5 and the upper limit is 310.72. The Z-scores of these values are calculated as follows: Z-score for the lower limit= (182.5 - 2466) / 64.1 = - 38.5Z

score for the upper limit= (310.72 - 2466) / 64.1 = - 20.11

Using a normal distribution table or calculator, the percentage of data within these limits can be calculated. Percentage of women with platelet counts between 182.5 and 310.72 = percentage of data between Z = - 38.5 and Z = - 20.11= 0Therefore, the approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

Approximately 98% of women in this group have platelet counts within two standard deviations of the mean, or between 118.4 and 374.8. The approximate percentage of women with platelet counts between 182.5 and 310.72 is 0%.

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I am not sure but according to my calculation answer of no.1 may be 67. And I am in 8 grade so I couldn't solve others. So sorry !!

The velocity vector v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k. The acceleration vector a(t) = -2e^tsin(t) i + 2e^tcos(t) j. The speed |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64].

Velocity, acceleration, and speed can be determined by differentiating the given position function with respect to time, t, and applying the appropriate formulas.

To find the velocity, we differentiate the position function r(t) with respect to time:

v(t) = dr(t)/dt

Given that r(t) = e^t(cos(t) i + sin(t) j + 8t k), we can differentiate each component separately:

For the i-component:

dx(t)/dt = d(e^tcos(t))/dt = e^tcos(t) - e^t*sin(t)

For the j-component:

dy(t)/dt = d(e^tsin(t))/dt = e^tsin(t) + e^t*cos(t)

For the k-component:

dz(t)/dt = d(8t)/dt = 8

Therefore, the velocity vector v(t) is:

v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k

To find the acceleration, we differentiate the velocity function v(t) with respect to time:

a(t) = dv(t)/dt

Differentiating each component of v(t) separately:

For the i-component:

d²x(t)/dt² = d(e^tcos(t) - e^tsin(t))/dt = e^tcos(t) - e^tsin(t) - e^tsin(t) - e^tcos(t) = -2e^t*sin(t)

For the j-component:

d²y(t)/dt² = d(e^tsin(t) + e^tcos(t))/dt = e^tsin(t) + e^tcos(t) + e^tcos(t) - e^tsin(t) = 2e^t*cos(t)

For the k-component:

d²z(t)/dt² = d(8)/dt = 0

Therefore, the acceleration vector a(t) is:

a(t) = -2e^tsin(t) i + 2e^tcos(t) j + 0 k

Simplifying: a(t) = -2e^tsin(t) i + 2e^tcos(t) j

To find the speed, we calculate the magnitude of the velocity vector v(t):

|v(t)| = √[(e^tcos(t) - e^tsin(t))^2 + (e^tsin(t) + e^tcos(t))^2 + 8^2]

Simplifying: |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64]

In summary:

The velocity vector v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k.

The acceleration vector a(t) = -2e^tsin(t) i + 2e^tcos(t) j.

The speed |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64].

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If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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Answer:

2 and 3 answer would be b and c

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

+3

Step-by-step explanation:

Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.

A variable measured with discrete data means that the data identify participants as belonging to one of a finite number of categories or groups. Discrete data can only take on certain values and cannot be subdivided any further. For example, the number of siblings a person has is a discrete variable as it can only take on whole numbers (0, 1, 2, 3, etc.).

In contrast, continuous data can take on any value within a range. For example, a person's height is a continuous variable as it can be measured with decimals (5'7.5", 6'2", etc.).

It is important to distinguish between discrete and continuous variables as they require different methods of analysis and interpretation. Understanding the nature of the data is crucial in ensuring accurate and meaningful results in research studies.

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).