Read the text.
One great thing about making art is that you can use almost any supplies. In this
project, you will create animal silhouettes from three simple supplies: old magazines,
cardboard, and glue.
First, find a picture of an animal that you like. Copy its outline onto a piece of cardboard,
and cut out the cardboard silhouette. Next, cut narrow strips from the magazines. The
pages you choose will determine what colors the animal will be.
Now, glue the strips side by side onto the cardboard shape, with the ends extending
beyond the cardboard's edges. Trim the strips carefully along the edges. Ta-da! Your
colorful animal art piece is finished.
Which author's purpose is suggested by the text?
to describe the exciting feeling of creating art
to teach readers how to make animal silhouette art

Answer: Stocks

Step-by-step explanation: People mainly live on wim's so stocks at times can be unpredictable.

A burrito costs $2 at Taco Hut. Let's use "b" to represent the cost of a burrito and "t" to represent the cost of a taco.

From the problem, we know that:

4b + 5t = 13 (for Clark)

5b + 3t = 13 (for Bruce)

We want to determine the cost of a burrito, so we can solve for "b" using the second equation:

[tex]5b + 3t = 13\\5b = 13 - 3\\b = (13 - 3t)/5[/tex]

Now we can substitute this expression for "b" into the first equation:

[tex]4b + 5t = 13\\4[(13 - 3t)/5] + 5t = 13\\52/5 - 12t/5 + 5t = 13\\52 - 12t + 25t = 65\\13t = 13\\t = 1[/tex]

So we know that a taco costs $1. Now we can substitute this value into either of the original equations to solve for "b":

[tex]5b + 3t = 13\\5b + 3(1) = 13\\5b = 10\\b = 2[/tex]

Therefore, a burrito costs $2 at Taco Hut.

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The inequality trigonometry expression 2sin(2x - π/2) ≥ √3 when solved has a solution of x ≥ 5π/12

In the question, we have the following expression

2sin(2x - π/2) ≥ √3

The above expresson is an inequality and a trigonometry expression

So, we have

2sin(2x - π/2) ≥ √3

Divide by 2

sin(2x - π/2) ≥ 1/2√3

Take the arc sin of both sides

2x - π/2 ≥ π/3

Add π/2 to both sides of the expression

2x ≥ π/2 + π/3

Evaluate the like terms

2x ≥ 5π/6

Divide both sides by 2

x ≥ 5π/12

Hence, the solution to the variable x is x ≥ 5π/12

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Answer:29160

Step-by-step explanation:

See Below

HAVE A NICE DAY !

Answer:

[tex]\pi r^2h[/tex]

Step-by-step explanation:

A cylinder is a surface or solid bounded by two parallel planes and generated by a straight line moving parallel to the given planes and tracing a curve bounded by the planes and lying in a plane perpendicular or oblique to the given planes

The formula for calculating the volume of a cylinder is similar to calculating the volume of a cube. The volume of a cube is equal to the Area of the Base (length times width) times the height of the cube.

[ V = (L x W) x H ] or [ V = A x H ]

The volume of a cylinder is the Area of the Base times the Height of the Cylinder

[ V = A x H ].

The Base of a cylinder is a circle. The formula for calculating the Area of a Circle is the constant Pi (∏) times the square of the Radius

[ A = ∏ x R² ]

and the formula for calculating the Radius of a Circle is the Diameter divided by 2

[ R = 1/2D ].

Therefore the formula for calculating the volume of the cylinder is

[ V = (∏ x (1/2D)² ].

An ASTM grain size of 8 means that there are 8 grains per square inch at a magnification of 100. Without any magnification, it is not possible to determine the number of grains per square inch.

ASTM grain size is a measure of the size of the grains in a metal sample. The ASTM E112 defines the grain size number as the number of grains per square inch of metal surface area at a magnification of 100 times. So, an ASTM grain size of 8 means that there are 8 grains per square inch at a magnification of 100.

Without any magnification, it is not possible to determine the number of grains per square inch as the grains are too small to be visible to the  eye. However, the ASTM grain size number can still provide information about the grain size distribution in the metal sample.

A metal sample with a smaller grain size number (i.e., larger grain size) will have fewer grains per square inch at a magnification of 100 than a metal sample with a larger grain size number (i.e., smaller grain size). This is because larger grains take up more surface area than smaller grains, resulting in fewer grains per unit area.

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The pieces are reassembled into a triangulation of the original polygon.

In a proof by strong induction, the inductive hypothesis is a statement that assumes the desired property is true for all cases up to some fixed size, and then uses that assumption to prove that the property is also true for the next case.

For the proof that every simple polygon with at least three sides can be triangulated, the inductive hypothesis would be something like,

"Assume that every simple polygon with up to k sides can be triangulated for some fixed k >= 3."

In other words, we are assuming that the property is true for all polygons with up to k sides, where k is some fixed number greater than or equal to 3.

The proof then proceeds by showing that if the property is true for all polygons with up to k sides, then it must also be true for polygons with k+1 sides. This usually involves breaking the (k+1)-sided polygon into smaller pieces (using a diagonal), each of which has fewer sides and can therefore be triangulated by the inductive hypothesis. Finally, the pieces are reassembled into a triangulation of the original polygon.

By completing this proof, we have shown that the property is true for all simple polygons with at least three sides.

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there are twο pοssible values οf x that make the length οf segment MP equal tο the length οf segment OP: x = 4 and x = 8.

In geοmetry, a line segment is a part οf a straight line that is bοunded by twο distinct end pοints, and cοntains every pοint οn the line that is between its endpοints.

Tο find the value οf x such that the length οf the segment MP is equal tο the length οf the segment OP, we can use the distance fοrmula tο find the lengths οf bοth segments, and then sοlve fοr x.

First, we can find the length οf segment MN using the distance fοrmula:

MN = √[(7-6)² + (-4-(-3))²] = √[1² + (-1)²] = √2

Next, we can find the length οf segment OP using the distance fοrmula:

OP = √[(x-(-3))² + (-5-(-7))²] = √[(x+3)² + 2²]

Nοw, we can set the lengths οf MP and OP equal tο each οther, and sοlve fοr x:

MN / OP = MP / OP

√2 / √[(x+3)² + 2²] = √[(6-x)² + (-3-(-5))²] / √[(x+3)² + 2²]

Squaring bοth sides οf the equatiοn, we get:

2 / [(x+3)²+ 2²] = [(6-x)² + 2²] / [(x+3)² + 2²]

Multiplying bοth sides οf the equatiοn by [(x+3)² + 2²], we get:

2 = [(6-x)² + 2²]

Expanding and simplifying, we get:

2 = x² - 12x + 40

Rearranging, we get:

x² - 12x + 38 = 0

We can use the quadratic fοrmula tο sοlve fοr x:

x = (12 ± √[(-12)² - 4(1)(38)]) / (2(1))

x = (12 ± √16) / 2

x = 6 ± 2

Therefοre, there are twο pοssible values οf x that make the length οf segment MP equal tο the length οf segment OP: x = 4 and x = 8.

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Answer:

it’s b

Step-by-step explanation:

I just did it

Answer:

r - s = (4 - 8, 6 - (-3)) = (-4, 9)

The set of ordered pairs (2,1), (3,3), (4,6), (2,3) is NOT a function because the input value of 2 corresponds to both the output values of 1 and 3.

For a set of ordered pairs to be a function, each input (x-value) must correspond to only one output (y-value). Therefore, if there exists an input (x-value) that corresponds to more than one output (y-value), then the set of ordered pairs is NOT a function.

Let's check each set of ordered pairs:

Therefore, the set of ordered pairs that is NOT a function is (2,1), (3,3), (4,6), (2,3).

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Answer:

[tex]\large\boxed{\textsf{Central Angles are made up of 2 Radiuses.}}[/tex]

[tex]\large\underline{\textsf{What are Central Angles?}}[/tex]

[tex]\textsf{Central Angles are angles inside of a circle. They're connected to the center of the circle.}[/tex]

[tex]\textsf{Central Angles have measures determined where the 2 endpoints meet on the circumference.}[/tex]

[tex]\textsf{Central Angles are made of 2 line segments called \underline{Radiuses}. They start at the Center.}[/tex]

[tex]\large\underline{\textsf{What are Radiuses?}}[/tex]

[tex]\textsf{Radiuses are line segments connected from the center of the circle to the circumference.}[/tex]

[tex]\textsf{Hence, Central Angles are made up of 2 Radiuses.}[/tex]

Answer:

x = 3, y = 4

Step-by-step explanation:

Substitute 4x - 8 in for y and then solve for x:

4x + 2(4x - 8) = 20

Then, 4x + 8x - 16 = 20 --> 12x = 36 --> x = 3.

Once you have x, you can solve for y.

y = 4x - 8 = 4(3) - 8 = 12 - 8 = 4

So, x = 3, y = 4

Answer:  4

Step-by-step explanation:

Given when y = 2,   x =  -2

Therefore  2 = -2 + ?

? = 2 + 2

? = 4

The probability that the weight of a randomly selected steer is less than 1700lbs is 0.9772.

To solve this problem, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the given data into a standard normal distribution by using the formula:

z = (x - μ) / σ

where z is the z-score, x is the given value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that a randomly selected steer weighs less than 1700lbs. So we need to find the z-score for 1700lbs:

z = (1700 - 1400) / 200

z = 1.5

We can then use a standard normal distribution table or calculator to find the probability that a z-score is less than 1.5. This probability is 0.9332.

However, since we want to find the probability that a randomly selected steer weighs less than 1700lbs (not less than or equal to), we need to add half of the probability of the z-score being exactly 1.5 to this result:

0.9332 + 0.0228 = 0.956

Therefore, the probability that a randomly selected steer weighs less than 1700lbs is 0.9772 (rounded to four decimal places).

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The number of days that it would take to lose 10 pounds, given the calories in the morning latte is 97 days.

Determine the total number of calories you need to burn to lose 8 pounds:

Calories to burn = Pounds to lose × Calories per pound

Calories to burn = 8 × 3,500 = 28,000

Calculate the number of calories you save per day by giving up your morning latte:

Daily calorie savings = Calories in latte

Daily calorie savings = 290

Determine how many days it would take to burn the total number of calories needed to lose 8 pounds:

Days to lose weight = Calories to burn / Daily calorie savings

Days to lose weight = 28,000 / 290 = 97 days

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Full question is:

Assuming the rest of your diet remains constant, how many days will it take you to lose 8 pounds? You must burn an extra 3500 Calories to lose 1 pound of body weight. (your daily latte contains 290 Calories. You want to lose weight by giving up your morning latte and drinking water instead.)

On average, you would expect to select approximately 1.90

Americans in order to find your first married respondent. This is because according to the U.S. Census Bureau, the national marriage rate in 2018 was 6.9 per 1,000 individuals, which is equivalent to 0.69% of the population being married.

Therefore, if we assume the population of Americans is uniformly distributed, the probability of randomly selecting a married American is 0.69%. Consequently, the expected number of trials necessary to select a married respondent is 1/0.0069 = 1.90.

To calculate this, we used the probability formula for a single trial: P(X) = N/S, where P(X) is the probability of success, N is the number of successes, and S is the number of trials.

Therefore, by substituting the number of successes (1) and the probability of success (0.0069) into the formula, we can determine the expected number of trials necessary to select a married respondent (1/0.0069 = 1.90).

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Answer:

The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it

HOPE THIS HELPSSS!

Answer:

d ≈ 5.4

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (4, 7 )

d = [tex]\sqrt{(4-2)^2+(7-2)^2}[/tex]

   = [tex]\sqrt{2^2+5^2}[/tex]

  = [tex]\sqrt{4+25}[/tex]

  = [tex]\sqrt{29}[/tex]

 ≈ 5.4 ( to the nearest tenth )

Answer: 56448² ft

Step-by-step explanation:

7 x 4 x 18 x 4 x 7 x 4 = 56448 and square it to get 56448² and then add the unit to get  56448 ft² :)

Answer: [tex]\frac{6}{p}[/tex]

Step-by-step explanation:

The number of packages Eva bought would be: 6 divided p which equals 6/p.

The LCM of  x² - x and 3 - 3x is given by the  expression 6x² −3x³  −3x.

Equatiοns are statements in mathematics that have twο algebraic expressiοns οn either side οf the equals (=) sign.

It shοws that the expressiοns printed οn the left and right sides have an equal relatiοnship.

In any mathematical equatiοn, we have LHS = RHS (left hand side = right hand side).

Equatiοns can be sοlved tο find the value οf an unknοwn variable that represents an unknοwn quantity.

LCM of unkone terms are given by their product:

(x² - x) × (3 - 3x)

= (3x² -  3x³) - (3x -3x²)

= 3x² -  3x³ - 3x + 3x²

= 6x² −3x³  −3x

Thus, the LCM of  x² - x and 3 - 3x is given by the  expression 6x² −3x³  −3x.

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A. The equation of the line is expressed as: y = (-5/2)x + 13.

B. The x-intercept of the equation is calculated as: 26/5.

A. We can use the point-slope form of a linear equation:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, to find the equation of a line passing through the point (4,3) with a slope of -5/2.

Substituting the values, we get y - 3 = (-5/2)(x - 4), which simplifies to y = (-5/2)x + 13 by expanding and adding 3 to both sides.

B. To find the x-intercept of the equation y = (-5/2)x + 13, we set y to 0 and solve for x. 0 = (-5/2)x + 13, which simplifies to x = 26/5 by multiplying both sides by -2/5 and adding (26/5) to both sides.

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The equation in slope- intercept form is y = x - 1/5

It is important to note that the expression representing the equation of a line in slope- intercept form is written as;

y = mx + c

Such that the parameters are;

collect the variables and constants, we have;

- y = 1/5 - x

reconstruct the expression

- y = -x + 1/5

Divide both sides by the coefficient of y , we have;

y = x - 1/5

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Answer:

Mira's monthly income: Rs. 55,000

Allowance: Rs. 3,000

Total monthly income before festival expenses: Rs. 58,000

Festival expenses (equivalent to monthly basic salary): Rs. 55,000

Total monthly income including festival expenses: Rs. 113,000

Amount deducted for provident fund (10% of monthly income excluding allowance and festival expenses):

10% of (Rs. 55,000) = Rs. 5,500

Total monthly deduction for provident fund: Rs. 5,500

Taxable income:

Total monthly income including festival expenses - Total monthly deduction for provident fund = Rs. 107,500

To calculate the annual tax to be paid by Mira, we need to know the income tax rates and tax slabs applicable for the current financial year. Without this information, we cannot provide an accurate answer

The point (2,2) may be considered an anomaly and should be investigated further to determine if it is a valid data point or if it should be excluded from the analysis.

The relation of the point (2,2) to the line of best fit can be determined by analyzing the residual value of this point. The residual value is the difference between the actual y-value and the predicted y-value based on the line of best fit. If the residual value is close to zero, then the point lies on the line of best fit. If the residual value is positive, then the actual y-value is higher than the predicted y-value, and if the residual value is negative, then the actual y-value is lower than the predicted y-value.

Unfortunately, the data necessary to determine the residual value of the point (2,2) is not provided in the question. Therefore, it is impossible to determine the exact relation of this point to the line of best fit.

However, we can make some generalizations based on the location of the point relative to the trend of the data.

If the point (2,2) lies close to the line of best fit, with a residual value close to zero, then it can be said that the point follows the trend of the data and is a typical data point. However, if the point lies far away from the line of best fit, with a large positive or negative residual value, then it can be said that the point is an outlier and does not follow the trend of the data.

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