Find the quotient.
820,000 ÷ 10³ =

Circle O with diameter LM and chord PQ. If LM = 20cm, and PQ = 16cm. The length of RM is 6 centimeters.

To find the length of RM, we can use the properties of a circle and its chords.

In a circle, a diameter is a chord that passes through the center. Therefore, LM is a diameter of circle O, and its length is given as 20 cm.

The chord PQ is not a diameter, but it intersects with the diameter LM at a point R. The length of PQ is given as 16 cm.

Now, let's consider the relationship between the diameter, the chord, and the intersection point. The diameter LM divides the chord PQ into two segments, PR and RQ.

According to the intersecting chords theorem, the product of the lengths of the two segments of an intersecting chord is equal. Mathematically, we can express this as:

PR * RQ = QR * RP

Since R is the midpoint of LM (as it lies on the diameter), PR and RQ are equal. Therefore, we can rewrite the equation as:

\(PR^2 = QR * RP\)

Now, let's substitute the given values:

LM = 20 cm

PQ = 16 cm

Since LM is the diameter, its length is twice the length of PR:

\(PR = LM : 2 = 20 cm : 2 = 10 cm\)

Substituting these values into the equation:

\(10^2 = QR * 10\)

Simplifying:

\(100 = QR * 10\)

Dividing both sides by 10:

10 = QR

Therefore, the length of QR is 10 cm.

Finally, to find the length of RM, we subtract the length of QR from the length of PQ:

RM = PQ - QR = 16 cm - 10 cm = 6 cm

Hence, the length of RM is 6 centimeters.

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Answer:

its 18 because 18 goes into 18 and 54. goes in 54 3 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

L=2W-5

A=LW, using L from above gives you

A=(2W-5)W

A=2W^2-5W

2W^2-5W-A=0, since A=33yd^2

2W^2-5W-33=0

2W^2+6W-11W-33=0

2W(W+3)-11(W+3)=0

(2W-11)(W+3)=0, since W>0

W=11/2

W=5.5yd, since L=2W-5

L=6yd

So the dimensions are W by L, 5.5yd by 6yd

Answer:

no I'm going to school and I'm going into 10th

Answer:

It would cost $32.00

Step-by-step explanation:

Total square feet:

length * width

4 * 4 = 16 sq ft.

Cost per square foot: $2.00

And so...

16 sq ft. * $2.00 = $32.00

Answer:

B

Step-by-step explanation:

In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.

Answer:

3.33  

Step-by-step explanation:

3 1/3 is equal to ((3*3)+1)/3

= 10/3  

= 3.33   ---------> Final answer

Answer: x = 15

Step-by-step explanation:

First, you want to make an equation that fits the directions. product of x and number 8 less than x is (x)(x-8) and equals to 105 is (x)(x-8) = 105. Distribute the x and you get a quadratic. x^2 - 8x = 105. You then need to get 105 to the other side so you can factor. X^2 - 8x - 105 = 0. Now you can factor, the 2 factors are x+7 = 0 and x-15 = 0; thus the 2 answers would be -7 and 15. However, in the direction, it asks for a positive value of x so we would cross out -7 and 15 is our answer.

Hope this helps!

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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A point is the undefined geometric term that represents a specific location on a coordinate plane.

A point is typically denoted by a dot and has no size or dimensions. It serves as a fundamental building block in geometry and is used to define other geometric objects such as lines, shapes, and figures. In a coordinate plane, a point is designated by its coordinates, which are typically represented as an ordered pair (x, y) that specifies its position along the x-axis and y-axis.

In geometry, points are used as building blocks to define other geometric objects such as lines, shapes, and figures. For example, a line is defined as a straight path that extends infinitely in both directions and is made up of an infinite number of points. Similarly, a shape or figure is formed by connecting multiple points with line segments.

In a coordinate plane, points are designated by their coordinates, which are represented as ordered pairs (x, y). The x-coordinate indicates the position of the point along the horizontal axis (often referred to as the x-axis), while the y-coordinate indicates its position along the vertical axis (often referred to as the y-axis). By specifying the values of the x and y coordinates, we can uniquely identify and locate a point on the coordinate plane.

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To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.

The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.

Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.

Using the arithmetic sequence formula for the sum of terms, we have:

s2 = (2/2) * (2a + (2-1)d) = 2a + d

s5 = (5/2) * (2a + (5-1)d) = 5a + 6d

s7 = (7/2) * (2a + (7-1)d) = 7a + 12d

Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:

s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d

s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d

Now, equating the differences, we have:

3a + 5d = 2a + 6d

Simplifying the equation, we find:

a = d

Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.

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The probability that one bill for veterinary services costs between $53 and $125 is  0.866383

The probability that one bill for veterinary services costs between $42 and $133 will be given as follows P(53<x<125), Since the formula for calculating the z score is

z=(x-μ)/σ, where  μ is the mean, σ is the standard deviation

since we are provided with means of $89 and a standard deviation of $24.So the z score will be  :

for x =  53, z=(53-89)/24= -1.5

Therefore the probability  P(x<53) is  0.066807

Again for x = $125, x=(125-88)/24=1.54

Therefore , the probabiltiy P(x<125) is 0.93319

The probability that one bill for veterinary services costs between $53 and $125, P(53<x<125) is :

=0.93319-  0.066807

=0.866383

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Answer:

i cant see the picture its just a black screen i would love to help

Answer:

1st is > 2nd is< and 3rd id <

Step-by-step explanation:

Answer:

$12.50

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Answer:19

Step-by-step explanation:15+4=19

19-15=4

Answer:

To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.

Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.

Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.

So, 28 - 4x = 14, and solving for x, we get x = 7.

Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.

Answer:

\(2\frac23\)

Step-by-step explanation:

Hello!

Evaluate the function for -2/3, by plugging it in for x in the equation.

The evaluated value is \(2\frac23\).

Answer:

Step-by-step explanation:

The absolute value of negative two third is really 2/3 but if your trying to reduce it to the lowest term its 0.66 or 0.67  However I would just put only 2/3 in the box, confidently knowing it would be scored correct.  

The distance from the line x=4 to the given point (-2,5) is 6 units .

Distance formula from line to point :

The distance from the line ax+by+c=0 to the point (u,v) is given by the formula

\(distance=\frac{|au+bv+c|}{\sqrt{a^{2} +b^{2} } }\)

In the given question

the equation of the line is \(x=4\)

taking all the terms to Left side we get

\(x-4=0\)

\(1.x+0.y-4=0\)

given the points (-2,5)

From above values we the values as a=1 , b=0 , c=-4 , u=-2 , v=5 .

Substituting the values in the distance formula we get

\(d=\frac{|1*(-2)+0*(5)-4|}{\sqrt{1^{2} +0^{2} } }\)

\(=\frac{|-2+0-4|}{1} \\ \\ =|-6|\\ \\ =6\)

Therefore , the distance from the line x=4 to the given point (-2,5) is 6 units.

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The solutions to the triangle are given as follows:

We consider a triangle with side lengths and angles related as follows:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle A is given as follows:

m < A + 98 + 37 = 180

m < A = 180 - 135

m < A = 45º.

Hence the relations from the law of sines are given as follows:

sin(45º)/18 = sin(98º)/b = sin(37º)/c.

Hence the length b is given as follows:

sin(45º)/18 = sin(98º)/b

b = 18 x sine of 98 degrees/sine of 45 degrees

b = 25.2.

The length c is given as follows:

sin(45º)/18 = sin(37º)/c.

c = 18 x sine of 37 degrees/sine of 45 degrees

c = 15.3.

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The measure of the largest exterior angle of the quadrilateral is 120 degrees

Quadrilateral are polygons that have four sides. They are regarded as a four sided polygon.

Therefore, the measures of the exterior angles are as follows;

The sum of all the exterior angles of a quadrilateral is 360°. Therefore,

3x + 8x + 9x + 10x = 360°

30x = 360

x = 360 / 30

x = 12

Therefore, the greatest/largest exterior angle is as follows;

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Answer:

First one is the y is 3 times x

Second one is y is 3 more than x

Step-by-step explanation:

y is 3 times x is y = 3x

y is 3 more than x is y = x + 3

The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

The perimeter of a rectangle is P = 2(L + W) where

Given that P = 16 m,

P = 2(L + W)

16 = 2(L + W)

16/2 = L + W

L + W = 8

So, W = 8 - L

The area of the rectangle, A = LW where

Since W = 8 - L, substituting W into the equation for A, we have

A = LW

A = L(8 - L)

A = 8L - L²

So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

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Answer:

The original price would be $450

Step-by-step explanation:

The  diameter of Circle B is 300 cm.

Circle perimeter or circumference is equal to 2R.

where R is the circle's radius. is a mathematical constant having a roughly 3.14 (to the nearest two decimal places) value. Once more, Pi () is a unique mathematical constant that represents the relationship between a circle's circumference and diameter.

Given:

Circle A has a radius of 50 cm.

Now, Circle B is three times larger than circle A

So, Circumference of circle B= 3 x Circumference of circle A

2 x 3.14 x R= 3 x 2 x 3.14 x 50

R =  3 x 50

R= 150cm

Hence, the diameter of Circle B is 300 cm.

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Answer:

area = 21 feet^2

Step-by-step explanation:

Area of a triangle is 1/2(base*height)

1/2(6*7) = area

1/2(42) = area

area = 21 feet^2

Answer:

so the answer is 42 feet2

Step-by-step explanation:

soyou do length times hight so 7times 6=42

ps srry if i am wrong good luck

These triangles are congruent by AAS,

Hence option C is correct.

The given triangles,

ΔABC and ΔIHG  are congruent,

Now figure we can see that,

∠B and ∠H are equal

∠A and ∠G are equal

Since these triangles are congruent

Therefore,

One side must be equal,

Thus it has congruency of AAS.

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