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The amount of goldfish Tyler will buy for his spherical fish tank is 2.

A sphere is a three-dimensional object that is round in shape.

To Calculate the amount of goldfish Tyler will buy for his spherical fish tank, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of gold fish is 2.

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The Correct statements are :

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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On a circle with center O, points P and A are marked such that the arc PA is a 46º arc. This implies that angle POA is half the measure of the intercepted arc PA, which is 23º. When segment PO is extended to meet the circle again at point T, the size of angle PTA is also 23º

In a circle, the measure of an inscribed angle is half the measure of its intercepted arc. Since arc PA is a 46º arc, angle POA, which intercepts arc PA, will have half that measure, which is 23º.

When segment PO is extended to meet the circle again at point T, we can observe that angle PTA is an inscribed angle. As a result, angle PTA will also have the same measure as its intercepted arc PT. Since point P lies on arc PT, which has a measure of 46º, angle PTA will also measure 46º.

This relationship between the intercepted arc and the inscribed angle is a fundamental property of circles. It allows us to determine the measure of an inscribed angle if we know the measure of its intercepted arc, and vice versa. In this case, the measures of both angle POA and angle PTA are determined by the 46º arc PA.

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Answer:4.94*10^5

Step-by-step explanation:

Step-by-step explanation:

Hello there! I think the answer is: 4.94 × 10^5

In scientific notation, you move the decimal point until you get a number between 1 and 10. Then you count the number of digits after.

My reasoning is below-

There are 3 zeros right of the number 494.

Therefore, I got the answer 4.94 x 10^5

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4×5+3=23

this is the solution

Yes, three-dimensional shapes, including polyhedra, have surface area. A polyhedron is a solid figure formed by flat faces, which are typically polygons, such as triangles, squares, or other multi-sided shapes. The surface area of a polyhedron is the total area of all its faces.

To find the surface area of a polyhedron, you must calculate the area of each individual face and then sum up these areas. The process varies depending on the type of polyhedron. For example, to find the surface area of a cube, you would calculate the area of one square face (side length squared) and multiply it by the number of faces (6). For a rectangular prism, you would calculate the area of each rectangular face and then add them together.

Other types of polyhedra, such as tetrahedrons or octahedrons, have different methods for calculating surface area, but the principle remains the same: find the area of each face and sum them up. Understanding the surface area of a polyhedron is important in many real-world applications, including architecture, engineering, and design, as it can be used to determine the amount of material needed for construction or the amount of paint required to cover a structure.

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Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible). This will help me to see weather or not it is positive or negative.3

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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The height of the tree is 13.2 m.

What is proportional ?

 The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.  

We can set up a proportion comparing the height of each object to the length of the shadow.

Then , \(\frac{h}{s}\).

=> \(\frac{3.8}{1.3} = \frac{h}{4.5}\)

=> h = \(\frac{3.8*4.5}{1.3}\)

=> 13.2 m.

Hence the height of the tree is 13.2 m.

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A sample in which every element in the population has an equal chance of being selected is called a random sample.

A random sample is a sampling method where each element in the population has an equal and independent chance of being selected. This means that every individual or item in the population has the same probability of being included in the sample.

Random sampling is widely used in statistical analysis because it helps to ensure that the sample is representative of the population, making it more likely to draw accurate conclusions and make reliable inferences.

By using a random sample, researchers can minimize bias and increase the generalizability of their findings. Random sampling allows for the selection of individuals or items without any predetermined pattern or preference, ensuring that the sample is as unbiased and representative as possible.

This method is commonly employed in various fields, including market research, social sciences, and medical studies, to obtain reliable and valid results.

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(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

Step-by-step explanation:

the GCF of 4 + 10 is

2(2 + 5)

x=2.7 x 10*-3

Step-by-step explanation:

-815x=2.24

x=-2.24/815

x=2.7 x 10*-3

Answer:

- 4 1/5

Step-by-step explanation:

Have a blessed day

Hope it helps

64 + 0 + 0 + 8 + 0 + 0 + 1 = 73. So, 73 is the decimal equivalent of the binary number 1001001.

Answer:

73

Step-by-step explanation:

You would multiply each number by it's corresponding power of 2.

\(1*2^{6}+0*2^{5}+0*2^{4}+1*2^{3}+0*2^{2}+0*2^{1}+1*2^{0}\)

The result of those numbers added together is 73 which is your answer.

Answer:

\( \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you\)

The statement that is not necessarily correct is ΔTRS ≅ ΔVUW. So, correct option is D.

The given information states that two triangles are congruent based on the corresponding parts, RS ≅ UV, RT ≅ UW and ∠R ≅ ∠U.

To determine which statement is not necessarily correct, we need to use the congruence criteria that are sufficient to prove the congruence of triangles. These criteria are:

SSS (Side-Side-Side): If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Using the given information, we can apply the SAS criterion to show that ΔRST ≅ ΔUVW. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (a) ΔRST ≅ ΔUVW is correct.

Now, we can use the SAS criterion again to show that ΔSTR ≅ ΔVWU. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (b) ΔSTR ≅ ΔVWU is also correct.

We can also use the SAS criterion to show that ΔTRS ≅ ΔVWU. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (c) ΔTRS ≅ ΔVWU is correct.

However, we cannot use any of the above criteria to show that ΔTRS ≅ ΔVUW. This is because we do not know that TU ≅ VW. Therefore, the statement (d) ΔTRS ≅ ΔVUW is not necessarily correct.

So, correct option is D.

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The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

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Answer:

There are n + 7 whole numbers

Step-by-step explanation:

Here, we want to calculate the number of whole numbers between 0 and n + 7

Since n + 7 is a while number, what we shall do is to simply subtract 0 from it

Thus we have; n + 7 - 0 = n + 7

So there are n + 7 whole numbers between n+ 7 and 0

Answer:

n+7

Step-by-step explanation:

n+7-0=n+7?

Step-by-step explanation:

Probability is unnecessary to predict a fixed event.

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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The probability that the sample average is more than 8.47 is 0.4406 if the pH level of the reservoir is ok

To calculate this, we will use a standard normal distribution table and the Z-score formula.

First, we need to calculate the Z-score for the sample average of 8.47. This is done by using the Z-score formula:

Z-score = (x - mean)/standard deviation

where x is the sample average, mean is the average of all samples, and standard deviation is the standard deviation of all samples.


In this case, the Z-score is:

Z-score = (8.47 - 8.50)/0.22 = -0.14


Then, we need to look up the Z-score in a standard normal distribution table. The probability of the sample average being more than 8.47 is equal to 1 minus the Z-score probability. So, in this case, the probability of the sample average being more than 8.47 is equal to 1 - 0.5594 = 0.4406.

Therefore, the probability that the sample average is more than 8.47 is 0.4406 if the pH level of the reservoir is ok.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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The information given that A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.

Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle.

It should be noted that an equilateral triangle simply means the triangle tht had equal shape and angles. Here, since A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.

Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle. On such triangle, two out of the three sides are equal.

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Answer:

-4x+1 is your answer

Step-by-step explanation:

6x+5-10x-4

combine like terms

(6x+-10x)+(5+-4)

-4x+1

I hope this helps!

Answer:

Step-by-step explanation: