which rational number could comes next

Answer:

This is your answer.

Step-by-step explanation:

There are different kinds of angles:

Angles below 90= Acute

90= Right

91–179= Obtuse

180= Straight Angle

181–359= Reflex Angle

360= Complete Angle or Circle.

Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.

The length of a single shift is 1 1/2 hours.

Paolo helped in the community garden for 2 3/4 hours this week.

That was 1 5/6 equal-length shifts.

To find the length of a single shift, we need to divide the total hours by the number of shifts:
Convert the mixed numbers to improper fractions:
2 3/4 = (2*4 + 3)/4 = 11/4
1 5/6 = (1*6 + 5)/6 = 11/6
Divide the total hours (11/4) by the number of shifts (11/6):
(11/4) ÷ (11/6) = (11/4) * (6/11)
Simplify the multiplication by canceling common factors (11):
(1/4) * (6/1) = 6/4
Simplify the fraction:
6/4 = 3/2.

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Multiply the binomials (x+2) and (x+3) to find if they are the factors for x^2+3x+4:

Notice that (x+2)(x+3) are not the factors of x^2+3x+4.

Therefore, the answer is:

By using system of equations, there are 43 free DVD rentals and 46 boxes of microwave popcorn were given away during the promotional campaign.

Let's use the following variables

x: the number of free DVD rentals given away

y: the number of boxes of microwave popcorn given away

We can set up a system of equations to represent the given information:

x + y = 89 (total number of new members signed up)

1x + 2y = 135 (total cost of the incentives)

We can solve for x or y in the first equation and substitute into the second equation

x = 89 - y

1(89 - y) + 2y = 135

89 - y + 2y = 135

y = 46

Substituting y = 46 into the first equation:

x + 46 = 89

x = 43

Therefore, 43 free DVD rentals and 46 boxes of microwave popcorn.

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Remember that

The area of a triangle is given by the formula

where

A=160 m2

h=1600 cm=16 m

substitute in the formula given values

The volume of the solid region is approximately 10.4109 cubic units.

To find the volume of the solid region lying below the surface z = f(x,y) and above the plane region R, we can use the formula:

V = ∬R f(x,y) dA

where dA is the area element in the xy-plane and the double integral is taken over the region R.

To evaluate this integral, we first need to perform a change of variables. Let u = x + y and v = x - y. Then the inverse transformations are x = (u + v)/2 and y = (u - v)/2. The Jacobian of this transformation is:

J = ∂(x,y) / ∂(u,v) = 1/2

Next, we need to express the surface z = f(x,y) in terms of u and v. Using the substitutions x = (u + v)/2 and y = (u - v)/2, we get:

f(x,y) = (x+y)ex-y = [(u+v)/2 + (u-v)/2]e(u-v)/2 = ueu/2

So the volume of the solid is:

V = ∬R f(x,y) dA

= ∬R ueu/2 dA

= ∫₂⁴ ∫₂⁶ (u/2)e^(u/2) du dv (using the limits of integration for R in terms of u and v)

= ∫₂⁶ [e^(u/2)u²/4] from 2 to 4 dv

= ∫₂⁴ [e^(u/2)u²/4] from u-2 to 6 du

= 16(e^3 - e^2)/3

Therefore, the volume of the solid region is approximately 10.4109 cubic units.

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Step-by-step explanation:

It is given that,

Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.

The formula of the volume of a cylinder is given by :

\(V=\pi r^2h\)

So,

\(\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}\)

Diameter, d = 2r

\(\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})\)

V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?

\(\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm\)

So, the diameter of the larger can is 29.39 cm.

If f(x) = { (x^2, x !=2), (2, x=2) :} then evaluate lim_(x rarr 2) f(x) =2

The limit as x approaches 2 of f(x) is equal to 2.

To evaluate this limit, we can substitute x = 2 into f(x) to get f(2) = 2.

In mathematics, a limit is a value that a function or sequence approaches as the input or index approaches a certain value or infinity. The concept of limit is used to describe the behavior of a function or sequence around a certain point or as the input or index goes to infinity.

More formally, we say that a function f(x) approaches a limit L as x approaches a if, for every ε > 0, there exists a δ > 0 such that if 0 < |x - a| < δ, then |f(x) - L| < ε. This means that as x gets arbitrarily close to a (but not equal to a), the values of f(x) get arbitrarily close to L.

Similarly, we say that a sequence {an} approaches a limit L as n approaches infinity if, for every ε > 0, there exists a natural number N such that if n > N, then |an - L| < ε. This means that as the index n gets arbitrarily large, the values of the sequence {an} get arbitrarily close to L.

There are several techniques for finding limits, including algebraic manipulation, direct substitution, L'Hopital's rule, and series expansions. The behavior of functions and sequences at their limits is important in many areas of mathematics, including calculus, analysis, and differential equations.

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In a poll conducted by a certain research​ center, 1046 adults were called after their telephone numbers were randomly generated by a​ computer, and were able to correctly identify the random sampling.

Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

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Answer: i

Step-by-step explanation:im pretty sure

The temperature indoors and outdoors the same after 16 minutes

The function is given as

f(x) = -5log4 (x-15)

When the temperatures are equal, we have

f(x) = 0

So, the equation becomes

-5log4 (x-15) = 0

Divide by -5

So, we have

log4 (x-15) = 0

Take the exponent of both sides

x - 15 = 4^0

So, we have

x - 15 = 1

Evaluate

x = 16

Hence, the time is 16 minutes

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Using SAS congruence theorem, the triangles PQT and RST are congruent. By using the sum of all angles in triangle STR, the measure of angle STR (or arc SR) is found to be 100 degrees.

Draw a circle and label the radii QT and PT.

Identify that angle PQT measures 40 degrees, which makes triangle PQT an isosceles triangle with angles QPT and PQT both measuring 40 degrees.

Recognize that triangle RST is also isosceles with angle RST equaling angle SRT.

Note that ST and TQ are equal in length, as are PT and TR.

Deduce that angles PQT and STR are also equal since they are opposite angles of congruent triangles.

Apply the SAS congruence theorem to conclude that triangles PQT and RST are congruent.

Recognize that angles PQT, RST, QPT, and SRT all measure 40 degrees since they are congruent angles in congruent triangles.

Use the fact that the sum of all angles in triangle STR equals 180 degrees to determine that the measure of angle STR (or arc SR) is 100 degrees.

Therefore, the measure of angle STR (or arc SR) is 100 degrees.

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The figure is attached below

Answer:

what do we have to do with this?

Answer:

x = 13

Step-by-step explanation:

54 divided by (13 + 5) = 3

Answer:

x = 13

Step-by-step explanation:

Therefore ,the solution of the given problem of expression comes out to be Option B is hence the appropriate choice.

An algebraic expression must be checked by replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is identical to 6, since 6 + 6 = 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Assumed: expressions

Finding the expression with a value that is closest to e

Solution:

e is worth 2.718, which equals (1 + 1/19).

(1 + 1/19)^19

=> (20/19)^19 = 2.65

=> (1+ 1/22)^22

= >(23/22)^22 = 2.659

=> (1 + 1/20)^20

= >(21/20)^20 = 2.653

=>(1 + 1/21)^21

= > (22/21)^21 = 2.656

As a result, the value of e is closest to the value of 2.659.

Option B is hence the appropriate choice.

Therefore ,the solution of the given problem of expression comes out to be Option B is hence the appropriate choice.

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When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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Answer : the answer is true

Answer:

B

Step-by-step explanation:

In order to find the secant of an angle, we need to calculate the reciprocal of the cosine of the same angle.

Given below is the triangle for the given values :

\(\(sec(\theta)=\frac{Hypotenuse}{Adjacent}\)\)

We know that\(\(sec(\theta)=\frac{Hypotenuse}{Adjacent}\)\)

So, by comparing with the above formula, we can write :\(\(sec(\theta)=\frac{\sqrt{74}}{7}\)\)

Thus, the answer is : \(\frac{\sqrt{74}}{7}\)

Secant is the reciprocal of the cosine function of an angle in a right-angled triangle. It can be defined as the hypotenuse's length to the side adjacent to a specific angle.

In order to find the secant of an angle, we need to calculate the reciprocal of the cosine of the same angle.

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Answer:

both of the solution is B and C

Answer:

√105 meters, or about 10.25 meters

Step-by-step explanation:

\( {x}^{2} + {4}^{2} = {11}^{2} \)

\( {x}^{2} + 16 = 121\)

\( {x}^{2} = 105\)

\(x = \sqrt{105} = 10.25\)

Answer:

10.246 or sqrt(105)

Step-by-step explanation:

Given,

length of the ladder = 11 m

distance of the foot of the ladder from the base of the wall = 4 m

According to Pythagoras' theorem,

(hypotenuse)^2 = (side1)^2 + (side2)^2

As per the problem,

hypotenuse = 11m

side1 = distance from wall = 4 m

side2 = height reached by the ladder on the wall

that is, (11)^2 = (4)^2 + (side2)^2

              121 = 16 + (side2)^2

               121 - 16 = (side2)^2

                (side2)^2 = 105

                  (side2) = sqrt(105) = 10.246 m

Hence, the ladder can reach up to 10.246 m height on the wall.

The equation of line B in the form y = mx + c is: y = (-10/7)x - 16/7.

To determine the equation of line B, we need to find its slope (m) and y-intercept (c) based on the given information.

Looking at the graph, we see that point P lies on line A, and line B is parallel to line A. Parallel lines have the same slope. So, to find the slope of line B, we can use the slope of line A.

From the graph, we observe that line A passes through the points (-2, 4) and (5, -6). We can calculate the slope (m) of line A using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values of the points into the formula, we get:

m = (-6 - 4) / (5 - (-2))

= (-10) / (7)

= -10/7

Now that we have the slope (m) of line B, we need to determine the y-intercept (c). Since line B passes through point P, which is (-3, 2), we can substitute these values into the slope-intercept form equation:

y = mx + c

Substituting (-3, 2) and -10/7 for (x, y) and m, respectively, we get:

2 = (-10/7)(-3) + c

Simplifying the equation, we have:

2 = 30/7 + c

To isolate c, we subtract 30/7 from both sides:

2 - 30/7 = c

Multiplying the terms, we have:

14/7 - 30/7 = c

Simplifying further, we get:

-16/7 = c

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

the answer to the question is 480

103 +98+69+93+117 i think is how it goes easly

Answer:

8/15

Step-by-step explanation:

With reference angle B

Perpendicular (p) = 16

base (b) = 30

so

Tan B = p/ b

= 16/30

= 8/15

Hope it will help :)❤

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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Answer: 96 ft squared ✌️

Step-by-step explanation:

Triangle area is 42 a leg (6) times b leg (14) divided by 2

First rectangle down is 30. Use length times width

Second rectangle down is 14

Last vertical rectangle is 10

Add all areas together

Answer: 96 square feet.

Step-by-step explanation: I would assume you know how to find the area of the rectangles and you are struggling with the triangle. With triangles you take the base or the bottom and multiple it by the width and then divide by 2. In this case the base would be 14 and the width would be 6, so 14x6 is 84 and 84 divided by 2 is 42.

I am guessing you are in 6th grade based on the problem you are doing. I am also in 6th grade so try to do what I did and see for yourself. :)

Answer:

1/21 1/26

Step-by-step explanation:

Denominator increases by 5

Answer:

So your answer is, 1, 1/6, 1/11, 1/16, 1/21, 1/26

Step-by-step explanation:

Simpler answer: the next two numbers in the sequence are, 1/21 and 1/26

If you wish to keep going it would go, 1/31, 1/36, 1/41, 1/46, 1/51, 1/56, and so on. Basically, I am adding "5" to the denominator.

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