Write the number 30,694,000,000,004 in words.What is the number 30,694,000,000,004 in words?O A. thirty trillion, six hundred ninety-four billionO B. six hundred ninety-four trillion, thirty billion, fourOC. thirty trillion, six hundred ninety-four million, fourD. thirty trillion, six hundred ninety-four thousand, fourE. thirty trillion, six hundred ninety-four billion, four

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

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

Clustering Data

Step-by-step explanation:

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Answer:

36:60:84

A     : B    : C

36° : 60° : 84°

A= 36°

B= 60°

C=84°

Step-by-step explanation:

3:5:7 =15

180÷15=12

3×12=36

36:x:y =180

5×12=60

36:60:y =180

7×12=84

36:60:84 =180

Answer: A=45  B=75  C=105

Step-by-step explanation:

3:5:7=180 degrees
   15=180
  15 divided by15=180 divided by 15
so,    1=12

so= 3:5:7 equal to (3*12)  (5*12)  (7*12)

A,B,C angles measures respectively = 36:60:84
  if you add them (A,B,C angles) we can obtain = 36:60:84=180    
  (sum of the measures of the angles of a triangle is 180 degrees)

Answer:

5

Step-by-step explanation:

Answer:

a). 1.05 Elanor's standardized score

b). 1.04 Gerald's standardized score

Step-by-step explanation:

According to the Question,

Thus, Elanor's standardized score is

\(Z=\frac{x-mean}{standard deviation}\)

Z = (680-569) ÷ 106 ⇒ 111/106 ⇒ 1.047≈1.05

Thus, Gerald's standardized score is

\(Z=\frac{x-mean}{standard deviation}\)

Z = (27-24.5) ÷ 2.4 ⇒ 2.5/2.4 ⇒ 1.041≈1.04

Therefore, the height of the trapezoid is 73.5 centimeters.

Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.

To find the height of the trapezoid, we can use the formula:

Area = (base1 + base2) * height / 2

where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.

We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:

8,526 = (127 + 105) * height / 2

8,526 = 232 * height / 2

8,526 = 116 * height

height = 8,526 / 116

height = 73.5

Therefore, the height of the trapezoid is 73.5 centimeters.

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Answer:

15x+25 ; 70

Step-by-step explanation:

Given that,

Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

Here, $25 is constant and $15 increases as the number of hour increase. For x hours, the cost for Fernando to clean a pool is given by :

y = 15x+25

For 3 hours,

y = 15(3)+25

= 45 + 25

= 70

So, the required option is (c) " 15x+25 ; 70 ".

Extreme values are present in a set of data in business. which of the following descriptive summary measures are most appropriate interquartile range and median.

Range is the maximum easy and normally comprehensible measures of dispersion. Range is described because the distinction among the highest (or largest) and lowest (or smallest) determined fee in a series. Therefore, it's miles the maximum affected measures of dispersion via way of means of the acute values of the series.

The median offers the best weight to factors withinside the center of the ordered records. When there are intense numbers withinside the records set (very low or very excessive numbers), the median is a great data preference for a degree of principal tendency.

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Answer:

The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.

Step-by-step explanation:

Let the random variable X represent the amount of gas in Sarah's car.

It is provided that \(X\sim Unif(1, 16)\).

The amount of gas in a car is a continuous variable.

So, the random variable X follows a continuous uniform distribution.

Then the probability density function of X is:

\(f_{X}(x)=\frac{1}{b-a};\ a<X<b\)

For a continuous probability distribution the probability at an exact point is 0.

So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:

P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)

              = P (6.5 < X < 7.5)

              \(=\int\limits^{7.5}_{6.5} {\frac{1}{16-1}} \, dx \\\\=\frac{1}{15}\times |x|^{7.5}_{6.5}\\\\=\frac{1}{15}\times (7.5-6.5)\\\\=\frac{1}{15}\\\\=0.0666667\\\\\approx 0.067\)

Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.

To determine f(6), simply replace the x-variable in the function above with 6.

Then, simplify.

Therefore, f(6) is -52.

(a) log₂(x) is a logarithmic function, (b) ∜x is a root function, (c) 2x^3/(1 - x^2) is a rational function, (d) 1 - 1.1t + 2.54t^2 is a polynomial of degree 2, (e) 5^t is an exponential function and (f) sin θ cos^2 θ is a trigonometric function.

A power function has the form f(x) = x^n, where n is a constant.

A root function has the form f(x) = √x or f(x) = x^(1/n), where n is a constant.

A polynomial is an algebraic function that can be written in the form f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_2 x^2 + a_1 x + a_0, where a_i are constants and n is the degree of the polynomial.

A rational function is a function that can be written as the ratio of two polynomials, i.e., f(x) = (p(x))/(q(x)), where p(x) and q(x) are polynomials and q(x) ≠ 0.

An algebraic function is a function that can be expressed as the solution to a polynomial equation, i.e., it can be written as a polynomial, a root, or a combination of polynomials and roots.

A trigonometric function is a function that involves the ratios of sides in a right triangle, such as sine, cosine, tangent, etc.

An exponential function has the form f(x) = a^x, where a is a positive constant greater than 1.

A logarithmic function has the form f(x) = logₐx, where a is a positive constant greater than 1.

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Answer:

£25.20

Step-by-step explanation:

Find 1% of 24

24÷100= 0.24

Find 5% of 24

0.24×5=£1.20

Add 5% to £24

£1.20+£24= £25.20

Answer:

£25.2

Step-by-step explanation:

Payment for a dress:

Total charge including extra 5%:

Answer:

4x + (-2) = -2x+6

Step-by-step explanation:

im not gonna explain a diagram but it won't let me submit.

Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

Ok, so:

First of all, we're going to find the volume of the cube, and then, we're going to rest the volume of the cone from the cube, and then we'll obtain the result.

So, the volume of a cube is given multiplying its height, its large and its width.

So, the volume of the cube will be (6mm)(6mm)(6mm), which is equal to 216mm^3.

Now, we have to find the volume of the cone.

This volume can be calculated using this equation:

Vcone = (π*r^2*h)/3.

where r is the radius and h is the height.

So, if we replace:

Vcone = (π*(2^2)*6)/3.

So, Vcone is 8π mm^3.

Now, we have to find the remaining volume!

This is 216mm^3 - 8π mm^3.

And that's equal to: 190.867mm^3

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

0°

In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.

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0°

Sana Maka help ako tnx

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer: The greatest number of bags is 6.

Step-by-step explanation:

In each bag, there would be 4 glow sticks and 5 tattoos, which is the greatest number that can be put in each bag without having any left.

3 3/4

Step-by-step explanation:

Minus a half on both sides to get h on it's own

3x4 +1=13

13/4 + 1/2

Multiply 1/2 by 2 to get 2/4 & add the top only

13+2=15

So, we've got 15/4, simplify to get 3 whole number and 3/4.

3 3/4

Hope this helps!

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Its 64

You do whats in the parenthesis first -

(5 x 11) + 9 = (55) + 9 = 55 + 9 = 64

Can you give me brainliest please haha

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

9514 1404 393

Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

_____

Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

Answer: 21

Step-by-step explanation:

115-10=105

105/5=21