A baby giraffe measures 6 feet tall when it is
born, and it grows an average of foot each
month. Write an equation!

Answer: No, both statements are false.

Step-by-step explanation: it's logical a square has to have 4 sides no more and no less.

The statements are not logically equivalent because D.) No, both statements are false.

A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and four equal angles. It can also be defined as a rectangle with two adjacent sides of equal length.

A square is a regular polygon with four equal sides and four equal angles of 90° each. A square is a closed two-dimensional shape with four equal sides and four vertices. Its opposing sides are perpendicular to each other. A square can also be thought of as a rectangle with equal length and width.

In this case, a square has four sides. Therefore, the information given about the square is wrong. The correct option is D.

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Answer:

x = 9

Step-by-step explanation:

Formula

The secant and tangent lines bear the following relationship

(tangent line )^2 = the outside secant line * length of the whole line

Givens

tangent line = 15

outside secant line = x

length of whole secant line = x + 16

Solution

15^2 = x ( x + 16)

15^2 = x^2 + 16x

225 = x^2 + 16x

x^2 + 16x - 225 = 0

Answer and Discussion

The equation has two factors.

(x - 9)(x + 25) =0

x + 25 has no meaning. There cannot be a negative length in this level of geometry.

The answer is x - 9 = 0

x = 9

Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula

Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.

Variance = Summation n to i = 1 \(\frac{(X_{1-X} )^2}{n-1}\)

        0 = Summation n to i = 1\(\frac{(X_{1-X} )^2}{n-1}\)

                Summation n to i \({(X_{1-X} )^2\) = 0

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Answer:

(x - 9)(x^2 + 18x + 81).

Step-by-step explanation:

Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)

x^3 - 729 = (x - 9)(x^2 + 18x + 81)

Answer:\((x-9) (x^{2} +9x + 81)\)

Step-by-step explanation:

Answer:

438+374+512=1324

Step-by-step explanation:

so that means that they sold 1324 tickets

Answer:

0.011

Step-by-step explanation:

To convert a percentage into a decimal, simply divide by 100;

Some examples are:

1% = 0.01

5% = 0.05

10% = 0.1

50% = 0.5

N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:

1000 × 0.011 = 11

Answer:

0.011

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the percentage by the number 100.

Therefore, 1.1% / 100 = 0.011.

(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)

Hope this helped you!

Answer:

SRU

Step-by-step explanation:

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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We are given the function;

The input of this function as it is, is x. To evaluate the function at any given output we would simply replace/substitute the value of x with the value provided.

If for example, we are given the function and we have to evaluate its value at f(3), what we will simply do is replace x with two in the function. This is shown below;

Therefore, the value of the function at f(3) is -9.

This is basically the procedure we shall use when evaluating a function at any given output value.

Please give Brainiest.

Answer:

First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive. Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget.

I hope that helps.

Therefore, Sketch the graph of y = 20x - x^2, divide the interval [0, 20] into rectangles, and approximate the area under the curve by summing the areas of the rectangles.

To find the area under the nonlinear function y = 20x - x^2 in the interval [0, 20], we will use the rectangular approximation method. First, let's sketch the graph of the function.
1. Identify the vertex: The vertex of a parabolic function y = ax^2 + bx + c can be found using the formula x = -b/2a. In our case, a = -1 and b = 20, so the vertex is at x = -20/-2 = 10. The corresponding y-coordinate is y = 20(10) - (10)^2 = 200 - 100 = 100. So, the vertex is (10, 100).
2. Plot the function on a graph and divide the interval [0, 20] into the desired number of rectangles (not specified in the question).
3. Calculate the height of each rectangle by evaluating the function at the representative x-value for each interval. Add the areas of the rectangles to approximate the total area under the curve.

Therefore, Sketch the graph of y = 20x - x^2, divide the interval [0, 20] into rectangles, and approximate the area under the curve by summing the areas of the rectangles.

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Option a,The correct null hypothesis for an independent-measures t test is option a, which states M1 - M2 = 0.

An independent-measures t test is a statistical test used to compare the means of two independent groups. In this test, the null hypothesis represents the assumption that there is no significant difference between the means of the two groups. The null hypothesis is usually expressed in terms of the difference between the means of the two groups, denoted by M1 and M2.

In summary, the correct null hypothesis for an independent-measures t test is option a, which states M1 - M2 = 0. This null hypothesis assumes that there is no significant difference between the means of the two groups and any observed difference is due to chance. Option b assumes a significant difference between the means, while options c and d use population means instead of sample means. It is important to correctly specify the null hypothesis in a statistical test to ensure that the conclusions drawn from the analysis are valid.

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The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Answer:

you need to save $21

Answer:

a) To show that the lines L₁ and L₂ lie in the same plane, we can demonstrate that both lines satisfy the equation of the given plane P: 2x - y + 3z = 15.

For Line L₁:

The parametric equations of L₁ are:

x = 1 + 4t

y = 3 + 3t

z = t

Substituting these values into the equation of the plane:

2(1 + 4t) - (3 + 3t) + 3t = 15

2 + 8t - 3 - 3t + 3t = 15

7t - 1 = 15

7t = 16

t = 16/7

Therefore, Line L₁ satisfies the equation of plane P.

For Line L₂:

The parametric equations of L₂ are:

x = 1 + 8t

y = 2 + 6t

z = 3 + 2t

Substituting these values into the equation of the plane:

2(1 + 8t) - (2 + 6t) + 3(3 + 2t) = 15

2 + 16t - 2 - 6t + 9 + 6t = 15

16t + 6t + 6t = 15 - 2 - 9

28t = 4

t = 4/28

t = 1/7

Therefore, Line L₂ satisfies the equation of plane P.

Since both Line L₁ and Line L₂ satisfy the equation of plane P, we can conclude that they lie in the same plane.

The general equation of the plane P is 2x - y + 3z = 15.

b) To find the distance between Line L₁ and the Y-axis, we can find the perpendicular distance from any point on Line L₁ to the Y-axis.

Consider the point P₁(1, 3, 0) on Line L₁. The Y-coordinate of this point is 3.

The distance between the Y-axis and point P₁ is the absolute value of the Y-coordinate, which is 3.

Therefore, the distance between Line L₁ and the Y-axis is 3 units.

c) To find the point B on plane P that is closest to the point A(1, 0, 7), we can find the perpendicular distance from point A to plane P.

The normal vector of plane P is (2, -1, 3) (coefficient of x, y, z in the plane's equation).

The vector from point A to any point (x, y, z) on the plane can be represented as (x - 1, y - 0, z - 7).

The dot product of the normal vector and the vector from point A to the plane is zero for the point on the plane closest to point A.

(2, -1, 3) · (x - 1, y - 0, z - 7) = 0

2(x - 1) - (y - 0) + 3(z - 7) = 0

2x - 2 - y + 3z - 21 = 0

2x - y + 3z = 23

Therefore, the point B on plane P that is closest to point A(1, 0, 7) lies on the plane with the equation 2x - y + 3z = 23.

I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.

Step-by-step explanation:

The correct order of the functions in decreasing order of their periods is:

y = -10sin(pi/5 - 2pi)

y = 2/3cot(pi/4)+6

y = 5csc(3x)+6

y = 1/2tan(5pi/6 + pi)

y = -3cos(x+2pi)

Note: The periods of trigonometric functions are determined by the coefficient of the independent variable (x in this case). The period of y = asin(bx + c) or y = acos(bx + c) is 2pi/b, and the period of y = atan(bx + c) or y = acot(bx + c) is pi/b. The period of y = acsc(bx + c) or y = asec(bx + c) is 2pi/|b|.

Answer:

15.3 %

Step-by-step explanation:

400 / 2600 x 100 = 15.3 %

I hope im right!!

there is an increase of 3000 - 2600 = 400

400/2600 * 100 = 15.38 %

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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The effective annual rate of sales growth for ABC Ltd. is 19.83%, and for DEF Inc. is 20.40%.

To calculate the effective annual rate (EAR) of sales growth for ABC Ltd. and DEF Inc., we'll use the formula for compound interest:

EAR = (1 + r/n)^n - 1

where r is the rate of sales growth and n is the number of compounding periods per year.

For ABC Ltd.:

Given that the rate of sales growth is 1.55% per month, we need to determine the number of compounding periods per year. Since there are 12 months in a year, n = 12. Plugging the values into the formula, we have:

EAR (ABC Ltd.) = (1 + 0.0155/12)^12 - 1

Calculating the expression inside the brackets first:

(1 + 0.0155/12) ≈ 1.0012917

Now, raising this value to the power of 12 and subtracting 1, we get:

EAR (ABC Ltd.) ≈ 1.0012917^12 - 1 ≈ 0.0198 ≈ 0.198

Therefore, the effective annual rate of sales growth for ABC Ltd. is approximately 0.198, which is equivalent to 19.83% when rounded to two decimal places.

For DEF Inc.:

Given that the rate of sales growth is 4.80% per quarter, we need to determine the number of compounding periods per year. Since there are 4 quarters in a year, n = 4. Plugging the values into the formula, we have:

EAR (DEF Inc.) = (1 + 0.048/4)^4 - 1

Calculating the expression inside the brackets first:

(1 + 0.048/4) ≈ 1.012

Now, raising this value to the power of 4 and subtracting 1, we get:

EAR (DEF Inc.) ≈ 1.012^4 - 1 ≈ 0.204 ≈ 0.204

Therefore, the effective annual rate of sales growth for DEF Inc. is approximately 0.204, which is equivalent to 20.40% when rounded to two decimal places.

In conclusion, the effective annual rate of sales growth for ABC Ltd. is 19.83%, and for DEF Inc. is 20.40%.

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Answer:

d=9.220

Step-by-step explanation:

Answer:

sqrt(85)

Step-by-step explanation:

Use the distance formula.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

d = sqrt[(-1 - 8)^2 + (3 - 5)^2]

d = sqrt[(-9)^2 + (-2)^2]

d = sqrt[81 + 4]

d = sqrt(85)

Answer: sqrt(85)

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

~ an aesthetics lover

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)

Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.

If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:

rate = (18 1/2 gallons)/(4 1/4 hours)

rate = 4 6/17 gallons per hour

Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)

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Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

The number of degrees which the minute hand of a clock turn in 45 minutes as required in the task content is; 270°.

As evident in the task content; it follows that the number of degrees which the minute hand of a clock turns over 45 minutes is to be determined.

Since there are 60 minutes in one complete revolution and;

Recall that the task sum of angles in a circle is 360°, it follows that the problem situation can be expressed as a proportion as follows;

45 / 60 = x° / 360°

where, x = the angle turned over 45 minutes.

Therefore, by cross-multiplication; we have;

60x = 45 × 360

x = ( 45 × 360 ) / 60

x = 45 × 6

x = 270°.

Ultimately, the number of degrees turned over 45 minutes is; 270°.

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The volume of wheat in the silo is about 1,570 feet and it would take about 63 minutes at the given rate for the silo to empty fully.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. We will discover how to find the volume for each of these shapes.

The silo is in the shape of cone, so use the formula of volume of a cone to find volume of wheat the tank can hold.

The formula to find volume of a cone is:

V = 1/3 · πr2h -----(1)

Substitute π ≈ 3.14, r = 10 and h = 15 in (1).

V ≈ 1/3 · 3.14 · 102 · 15

V ≈ 1/3 · 3.14 · 100 · 15

V ≈ 1,570

So, the volume of wheat in the silo is about 1,570 feet.

Silo can release wheat from its bottom at the rate of 25 cubic feet per minute.

= 1,570 / 25

= 62.8

≈ 63

Hence, it would take about 63 minutes for the silo to empty fully.

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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