If p represents a number between 2 and 4 and q represents a number between 10 and 20, then q/p represents a number between...
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Answer:

7.50 (nearest hundredth)

Step-by-step explanation:

General form of geometric progression:  \(a_n=ar^{n-1}\)

(where \(a\) is the initial term and \(r\) is the common ratio)

Given progression:

\(5\left(\dfrac13\right)^{n-1}\)

Therefore:

Sum of a geometric series:

\(S_n=\dfrac{a(1-r^n)}{(1-r)}\)

Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:

\(\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}\)

\(\implies S_{10}=7.499873987...\)

\(\implies S_{10}=7.50 \textsf{ (nearest hundredth)}\)

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.

Using this rule, we can find the derivative of h(x) as follows:

h(x) = (x + 2) / (x - 2)

h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator

h'(x) = (-2 - 2x) / (x - 2)^2

Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.

Step-by-step explanation:

The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.

To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:

average rate of change = (change in output)/(change in input)

where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.

For the function g(x), let's assume we have the following values:

g(1) = 3

g(1.5) = 4

g(2) = 6

g(1+h) = 3h + 1

Then we can calculate the average rate of change over the intervals as follows:

[1, 2]:

change in output = g(2) - g(1) = 6 - 3 = 3

change in input = 2 - 1 = 1

average rate of change = (change in output)/(change in input) = 3/1 = 3

[1, 1.5]:

change in output = g(1.5) - g(1) = 4 - 3 = 1

change in input = 1.5 - 1 = 0.5

average rate of change = (change in output)/(change in input) = 1/0.5 = 2

[1, 1+h):

change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2

change in input = 1+h - 1 = h

average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h

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The expression 1.325 * 10⁰ in standard notation is; 1.325

We are given the number in scientific notation as;

1.325 * 10⁰

A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules. For example, 4.5 billion years is written as 4,500,000,000 years.

Now, applying the concept of standard notation to our question, we can write the expression as;

1.325 * 10⁰ = 1.325 * 1

This is because 10⁰ = 1.

Thus,

The expression 1.325 * 10⁰ in standard notation is 1.325

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The length of the hypotenuse of the sail is 18.30 feet long.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c²

Given that the sail for his sailboat is a 45-45-90 Right Triangle. 15. The base of the sail is 10.5 ft. long.

a² + b² = c²

Therefore,

15² + 10.5² = c²

c² = 15² + 10.5²

c² = 225 + 110.25

c² = 335.25

c = 18.30

Thus, the hypotenuse is 18.30 feet long.

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Answer:

First find the number of Mango and oranges. 400 divided by 8 = 50. We use 8 because it is the whole part of the percentage. Since, there is 3/8 mangoes, multiply 50* 3= 150 mangoes and 50*5= 250 oranges.

2/3 of 150=100 mangoes. You would find this by dividing 150/3=50 then multiply by 2.

4/5 of 250= 200 oranges. You would find this by dividing 250/5=50 then multiply by 4.

$.40*100= $40.00 mangoes

$.60*200= $120.00 oranges

Mr. Mead would make $160.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

The next number is 13.

This sequence consists of numbers which are sum of digits of 2^n.

For example: when n= 1, 2^n is 2 which is the first number of sequence.

When n=6, 2^6=64. So,6+4=10 which is sixth number of sequence.

So, when n=8, 2^8=256,So, 2+5+6=13 which will be the eighth number of sequence.

Hope this helps :)

Step-by-step explanation:

Bence cevap C diye düşünüyorum çünkü trafik levhası kaza yapmayalım diye bizi uyarır, yaya ve araçların olduğu yollarda, trafik düzeninin sağlayan önemli gereçlerdir. Bu levhalar sayesinde kargaşalar engellenmekte, can ve mal güvenliği de korunmaktadır.

Answer:

9

Step-by-step explanation:

Its not very clear but think its still correct all you do is look at the two cordinets and divide  

Answer and Step-by-step explanation:

How're you struggling with this? Simply look for a point that is inside of the triangle.

The answer is A. (-1, -2)

because this point is INSIDE the triangle.

#teamtrees #PAW (Plant And Water)

Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer: 1

Step-by-step explanation:

Let's look at two points on this line (0, 1), and (1, 2)

Using the slope formula (\(\frac{(y_2-y_1)}{(x_2-x_1)}\))

\(\frac{(2-1)}{(1-0)} =\frac{1}{1}=1\)

Hope it helps :)

Answer:

bro be more specific plssssaass

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

100

Step-by-step explanation:

i got it right on the test !!

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

Complete Question

A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs. What is the numerical value of the sample mean?

Answer:

Sample Mean \(\=x=80\)

Step-by-step explanation:

From the question we are told that:

Population Mean \(\mu=78\)

Standard deviation \(\sigma=90\)

Sample size \(n=120\)

Sample Mean \(\=x=80\)

Therefore

The numerical value of the sample mean is

Sample Mean \(\=x=80\)

The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,

Total Area = Department A + Department B + Department C + Department D

Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²

Now, the cost of operating a unit area can be determined as,

Cost of operating = $19,000/3,170m² = $5.99369 per m²

Further the cost of operating the different departments are,

Department A = 1400m²×$5.99 = $8,391.17

Department B = 820m²×$5.99 = $4,914.83

Department C = 560m²×$5.99 = $3,356.47

Department D = 390m² × $5.99 = $2,337.53

Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

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Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

40

Step-by-step explanation:

When we find the prime factorization of a number, we are essentially finding breaking it down the most we can. When we multiply the prime factors, we will get the original number that we broke down.

So, let's multiply the prime factors

2*4*5 = 40

If we wanted to check, we can do so by finding the prime factors of 40.

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Btw, 4 is not a prime number. We would factor 4 into 2 × 2. Then we would have 2³, as there are three 2s. The correct way to write this prime factorization would be,

2³ × 5

Answer:

Its 80

Step-by-step explanation:

because i got it right

Answer:

66.67%

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The median (Q2) of a box plot is the central line of the box.

So in this case, the median is 20.

Given that the function is

with the domain given below as

The range is the set of values generated by the evaluation of the function for the set of domain values.

The range of the function will be

Hence,

The range of the function y=5x-2 is

Therefore,

The final answer is OPTION D