Which of the following best describes the diameter of a circle?

1. A segment whose endpoints are points on the circle.
2. A chord which passes the center of the circle.
3. A segment joining the center and any point on the circle.
4. A line that passes through the circle at exactly two points.

Answer:

d = -6

Step-by-step explanation:

t1 = 7, t2 = 1, t3 = -5, t4 = -11

t2 - t1 = 1 - 7 = -6

t3 - t2 = -5 - 1 = -6

t4 - t3 = - 11 - (- 5) = -11 + 5 = -6

Therefore, the common difference is constant( I. e -6). Therefore the common difference is -6.

The statement implies that no matter how many peanuts and raisins are exchanged between Bob and Mark, they will always end up with an equal number of each. This suggests that the quantity of peanuts and raisins each person initially possesses is irrelevant to the final outcome.

This situation can be illustrated by the concept of a fair trade. If Bob and Mark exchange peanuts and raisins in such a way that the quantity exchanged maintains an equal number of each item for both individuals, the result will always be a balanced distribution.
For example, if Bob initially has 5 peanuts and 3 raisins, and Mark has 2 peanuts and 4 raisins, they can exchange 2 peanuts for 2 raisins. After the exchange, Bob will have 3 peanuts and 5 raisins, while Mark will have 4 peanuts and 2 raisins. The overall result is still an equal number of each item for both individuals.
This statement highlights the idea of fairness in the exchange of goods, where regardless of the initial quantities, the outcome ensures equality between the participants.

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The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.

Given.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.

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Answer: Part A : 0.03
              Part B : 0.97

Step-by-step explanation:

Part A: The probability of not throwing the ball to a receiver on either throw can be calculated as follows:

•  The probability of missing the receiver on the first throw is 30% or 0.3.

•  The probability of missing the receiver on the second throw given that the first throw was incomplete is 10% or 0.1.

Therefore, the probability of not throwing the ball to a receiver on either throw is:

P(missed on both throws) = P(missed on first throw) * P(missed on second throw given that first throw was incomplete)

= 0.3 * 0.1

= 0.03

Part B: The probability of making at least one successful throw can be calculated as follows:

•  The probability of making at least one successful throw is equal to one minus the probability of missing both throws.

P(at least one successful throw) = 1 - P(missed on both throws)

= 1 - 0.03

= 0.97

Therefore, the probability of making at least one successful throw is 0.97.

Answer:

18.445

Step-by-step explanation:

Multiply

Answer:

4 and 6

Step-by-step explanation:

These are the points in which y=0

The x- and y-values of the extrema where there are minimum values are (-2, -4) and (2, -4).

A graph can be defined as a type of chart that's commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An extrema can be defined as either the stationary points or turning points that are found on a graph.

In Geometry, the value of a function stops to either increase or decrease at the extremum while it starts to either decrease or increase after the extremum.

By critically observing the given graph, we can infer and logically deduce that the global extrema where there are minimum values include the following:

x = -2 and y = -4;  ⇒ (-2, -4).

x = 2 and y = -4; ⇒ (2, -4).

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Answer:

13.4%

Step-by-step explanation:

(52-45)/52

7/52

13.4%

Answer: 13%

Step-by-step explanation: 52 - 45 = 7 | 7/52 = .13 | 13%

If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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Answer: About every 4 to 6 hours it stops for about three hours with an average of 8 in per every time it snows

sorry if this dosent answer and if it dosent be more specfic next time

The equation of a line in point slope form is y - y₁ = m(x - x₁) and the equation of a line in slope intercept form is y = mx + b.

The equation of a line can be represented in different form such as point slope form, slope intercept form, general form and standard form.

The equation of a line in point slope form is as follows:

y - y₁ = m(x - x₁)

where

The equation of a line in slope intercept form is as follows:

y = mx + b

where

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The median for the next batch of observations is 5.

The median is the value in the middle of a data set, which indicates that 50% of the data points have a value less than or equal to the median, and 50% have a value greater than or equal to the median. The median is the number in the middle of a set of numbers. The median represents the 50th percentile of the set of numbers. In other words, the median is the value in the center of a set of numbers where half are less than the median and half are more than the median.

Here,

given set of observation,

=3,4,5,8,9

n=5

median=(5+1)/2

=3rd term

=5

The median for following set of observation is 5.

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Answer:

incenter

Step-by-step explanation:

The center of the circle inscribed in a triangle is the incenter of the triangle, the point where the angle bisectors of the triangle meet.

Answer:

-4 - 9

Step-by-step explanation:

The arrow on the right points to -4 on the number line, so we know that the equation must start with -4. Then, the longer arrow on the left extends the first arrow 9 units to the left, thus -4 + (-9). Simplify, and we get -4 - 9.

Answer:

\((f\circ g)(-5)=85\)

Step-by-step explanation:

We are given:

\(\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x\)

And we want to find:

\((f\circ g)(-5)\)

This is equivalent to:

\(\displaystyle =f(g(-5))\)

So, we will evaluate g(-5) first, which yields:

\(\displaystyle g(-5)=(-5)^2+(-5)=25-5=20\)

So:

\(=f(g(-5))=f(20)\)

Then:

\(\displaystyle f(20)=4(20)+5=80+5=85\)

Therefore:

\((f\circ g)(-5)=85\)

Answer:

E

Step-by-step explanation:

Hope this helped!

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

When testing for the differences between the means that exist between two independent populations that has the variances in all of their population which is still unknown but said to be equal, the degrees of freedom will be:

n1 + n2 - 1.

Therefore, If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

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Answer:

3 (5 x - 2) (y - 3)

Step-by-step explanation:

Factor the following:

15 x y - 6 y - 45 x + 18

Hint: | Factor out the greatest common divisor of the coefficients of 15 x y - 6 y - 45 x + 18.

Factor 3 out of 15 x y - 6 y - 45 x + 18:

3 (5 x y - 2 y - 15 x + 6)

Hint: | Factor pairs of terms in 5 x y - 2 y - 15 x + 6 by grouping.

Factor terms by grouping. 5 x y - 2 y - 15 x + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):

3 y (5 x - 2) - 3 (5 x - 2)

Hint: | Factor common terms from y (5 x - 2) - 3 (5 x - 2).

Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):

Answer: 3 (5 x - 2) (y - 3)

let m be the vector space of all 3x3 matrices, and let h be its subspace consisting of all a satisfying. The dimension of h will be  0 ≤ h ≤ 3

If m be the vector space , a subset h ⊆ m is a subspace of m if the ten axioms (L₁ , L₂ , L₃ , . . . . L₁₀) of m are satisfied on h but it suffices only two axioms to hold on h for h that are axioms of closure of h under two linear operations : the sum of vectors and their multiplication by scalars in the field F.

Let m is a vector space over a field F,  a subset h which is closed under the two linear operation of m : the vector addition and multiplication of vector by scalar .

L₁ (∀x , y ∈m) , x+ y∈ m ---------(1)

L₂ (∀λ ∈ F) ( ∀ x∈ m ) λx ∈m -------(2)

A subset h⊆ m which satisfy (1) and (2) is a subspace of v

Dimension of Vector space and a subspace :

According to linear algebra theorem,

The number of vectors in all the basis if finitely generated vector space m is the same. This number is just the dimension of subspace m : dim m .

If m is spanned then here, dim m = 3

h ⊆ subs m <===> dim h < dim m

If h is subspace of m and dim m = 3 then,

dim h = h with 0≤ h ≤3

If h is zero, the dimension of improper subspace , h = {0}

If dim h = dim m = 3 the h = m since any basis A of h is a basis of m too and conversely,

Hence , any vector m of all 3×3 matrices and h be its subspace , the dim h will be 0 ≤ h ≤ 3

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The non-real roots of the polynomial x³ - 10x² + 29x - 30  are; x = 2 + i or 2 - i

We are given the polynomial as;

x³ - 10x² + 29x - 30

We are told that the real root of the polynomial is -6. Thus, (x + 6) is a factor of the polynomial.

Now, we can use polynomial long division to get;

x³  -  10x²  +  29x  -  30

- divisor  * x²     x³  -  6x²        

remainder      -  4x²  +  29x  -  30

- divisor  * -4x¹     -  4x²  +  24x    

remainder             5x  -  30

- divisor  * 5x⁰             5x  -  30

remainder                0

Quotient :  x² - 4x + 5  Remainder:  0

          x²    -    4x   +   5_______

(x + 6) | x³  -  10x²  +  29x  -  30

         -  x³  -  6x²

                     -4x²  +  29x  -  30

                   -  - 4x²  +  24x

                                    5x  -  30

                                 -  5x -   30

                                             0

Now, using quadratic calculator to find the roots of the quotient, we get;

x = 2 + i or 2 - i

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Step-by-step explanation:

We know that HK and GL are congruent by Given. We can also see that GK is congruent to itself on both sides because of reflexive property. A works, because it corresponds and might fit into SAS. B doesn't, because the two angles don't correspond. C is the same as A, so it will work as well. D's angles correspond, but don't fit SAS.

This means that angle KHG and angle GLK will be congruent, as well as angles GHK and KLG (They're the same angles though).

To prove that \(\triangle GHK \cong \triangle KLG\) by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK

Recall:

Given the image showing \(\triangle GHK $ and $ \triangle KLG\), the following are known:

\(HK \cong GL\\\\GK \cong GK\)

However, for us to prove that both triangles to be congruent, we need an additional information that tells us an included angle in one triangle is congruent to a corresponding included angle in the other.

Therefore, to prove that \(\triangle GHK \cong \triangle KLG\) by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK

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9514 1404 393

Answer:

  B, C, D, E

Step-by-step explanation:

A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.

The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."

The number of fiction books in the library are 324, as found by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given: There are 5 non-fiction books for every 9 fiction books. Total 130 non-fiction books are there in the library.

To find: number of fiction books.

Finding: By unitary method, For every 5 non-fiction books, there are 9 fiction books.

For every 1 non-fiction book, there are 9/5 fiction books.

For every 130 non-fiction books, there are 9/5 × 130 = 324 fiction books.

Hence, The number of fiction books in the library are 324, as found by unitary method.

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(COMPLETE QUESTION:in a small library there are 5 nonfiction books for every 9 fiction book there are 130 nonfiction book. How many fiction books are there in the library?)

Answer:

i can't understnd it at all i mean you organized it but what does those mean??

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-8 * (-2) - 4 * (6) =

16 - 24

0

f(1) = -2

g(4) = 6

The number of boxes fitted in the larger container is found out by the volume of both boxes.

The number of boxes fitted into the larger container is 480.

The volume can be defined as the space occupied by an object in three dimensions.

Given that the edge of the cube box is 1/4 ft. The dimensions of the larger box are 3 ft long, 1 1/4 ft wide, and 2 ft.

The volume of the cube box is calculated as given below.

\(V_s = s^3\)

Where Vs is the volume of the cube box and s is the edge of the cube box.

\(V_s = \dfrac {1}{4}^3\)

\(V_s = 0.015625\;\rm ft^3\)

The volume of the larger box is calculated as given below.

\(V = l \times w\times h\)

Where V is the volume, l is length, w is width and h is the height of the larger box.

\(V = 3 \times \dfrac {5}{4} \times 2\)

\(V = 7.5\;\rm ft^3\)

The number of cube boxes fitted into the larger box is calculated as given below.

\(No. \; of \;boxes = \dfrac {V}{V_s}\)

\(No. \; of \;boxes = \dfrac {7.5}{0.015625}\)

\(No. \; of \;boxes = 480\)

Hence we can conclude the number of boxes fitted into the larger container is 480.

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Answer: 64

Explanation: All of the numbers are quite close to one another. The number farthest apart from them all would be 64 with a difference of 15. Also, it's visibly shown how there are the 20s, 30s, and 40s, but it skips quickly to the 60s.

I hope this helped!

Good luck <3