Which of the following is the most likely the next step in the series?

The quotient of the given division problem is 2 remainder is 13.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given division problem,

If we divide 77 by 32 then it goes to 2 times that is called the quotient.

The remainder is 77 - 32 x 2 = 13

Hence "The above division issue has a quotient of 2 and a remainder of 13.".

For more about the number system,

https://brainly.com/question/22046046

#SPJ1

The required equation of the line is given as y = 5x -6.

To determine the equation of a line passing through the point (-4, -11) and perpendicular to the line 4x + 5y = -45.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the given line
4x + 5y = -45
y = -4/5 - 45
m = -4/5

The equation of the perpendicular line is given as,
y - y₁ = -1/m (x - x₁)
Substitute the value in the above equation,
y + 11 = -1 / -4/5  (x + 4)
y = 5/4(x + 4) - 11
y = 5x + 5 - 11
y = 5x -6

As a result, the needed equation for the line is y = 5x -6.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

Answer:

x=1

Step-by-step explanation:

---------- -----------

x =1

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

a,b,d

Step-by-step explanation:

Answer:

Option A: 9 + 5t

Option B: 5 · t + 9

Option D: (5 × t) + 9

Step-by-step explanation:

Hope This Helped

should be about $625

Just add all the number up and then subtract the answer you got with the same number except 180 since that's what she has left over. correct me if I'm wrong.

Domain - the set of possible x-coordinates of a function.

Range - the set of possible y-coordinates of a function.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Answer:

30.a)  Domain:  [-6, 6]

30.b)  Range:  [-3, 7]

30.c)  Function:  No

31.a)  Domain:  [-2, 2]

31.b)  Range:  [-6, 6]

31.c)  Function:  No

Step-by-step explanation:

Definitions

Interval notation

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

The graph is a conic section (ellipse) and therefore it is not a function.

The smallest x-value is x = -6 and the greatest x-value is x = 6.

The smallest y-value is y = -3 and the greatest y-value is y = 7.

Therefore, the domain and range in interval notation are:

The graph is a not a function as almost all the inputs (x-values) are related to more than one output (y-value).

From inspection of the graph, the endpoints of the continuous line are:

Both endpoints are closed circles, so the values are included in the domain and range.

The smallest x-value is x = -2 and the greatest x-value is x = 2.  

Therefore, the domain in interval notation is:

The smallest y-value is y = -6 and the greatest y-value is y = 6.  

Therefore, the range in interval notation is:

The graph is a not a function as not all inputs (x-values) are related to one output (y-value).

The functions f and h are not the same because they are composed of different operations.

A function is a block of code that performs a specific task. It can accept input in the form of parameters, and may return an output. Functions are an important part of programming, as they allow for the repetition of code without having to write the same lines multiple times. This increases code readability and eliminates the need to debug multiple lines of code. Functions can also be reusable, meaning they can be called and used over and over again with different parameters.

Function f takes the ratio of two terms while function h takes the product of two terms. Additionally, the terms in the two functions are different. Function f takes the sum of x and 5 and the difference of x and 7 while function h takes the sum and the difference of the same two terms. As a result, the functions f and h will generate different outputs for the same input.

To learn more about Function
https://brainly.com/question/10439235
#SPJ4

The hidden question (that uses $8.95 in the equation) along with the answer is mentioned below.

Given is to write a two-step problem that contains a hidden question about buying something at the mall.

The problem is as follows -

You are visiting a mall where you bought 10 chocolates each of $8.95. You had $100 with yourself. If you are left with with $x, then find x.

Answer to the problem -

We can write the equation for [x] as -

x = 100 - (8.95 x 10)

x = 100 - 89.5

x = 10.5

Therefore, the hidden question along with the answer is given above.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

Answer: [tex]h(x)=549(0.7)^{x}[/tex]

Step-by-step explanation:

If the slope is a negative number for example, y = - x then it would go up one and to the left one because it's a negative number. Negative slopes will always go through the coordinate plant II and IV

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

your welcome

The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The simplest technique is to multiply the room's length and width. The floor surface area for a rectangular room is equal to the length times the width. The formula for this is area = length x width (A = lw).

Given

g(x) = x²

x = 0

x = 3

We must determine the area using the functions f(x) and g(x), which are provided.

ₐ∫ᵇ (f(x) + g(x)) dx

₀∫³ (x² + 15(x + 5)) dx

₀∫³ (x²dx  + ₀∫³15(x + 5)) dx

(x³/3) + 15x²/2 + 75x

₀[x³/3]³ + ₀[15x²/2 + 75x]³

[(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]

27/3 + 15(9/2) + 75(3)

9 + 15(4.5) + 7

76.5 + 225

301.5

The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

To learn more about area, visit:

https://brainly.com/question/29760970

#SPJ4

Answer:i think its the second one

Step-by-step explanation:

The probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or more is of:

0.9582 = 95.82%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this distribution are given as follows:

[tex]\mu = 2.3, \sigma = 1.1, n = 40, s = \frac{1.1}{\sqrt{40}} = 0.1739[/tex]

The probability that the mean number of holding penalties will be 2 penalties per game or more is one subtracted by the p-value of Z when X = 2, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (2 - 2.3)/0.1739

Z = -1.73.

Z = -1.73 has a p-value of 0.0418.

Hence:

1 - 0.0418 = 0.9582 = 95.82%.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/25800303

#SPJ1

Answer: 12 minutes

Let us suppose the number of minutes per month is 720. ( i have assumed this data from myself, you use any data you want, remember the procedure)

Now, Mark and his brother share the minutes every month equally.

So, clearly, Mark and his brother would get 360 minutes each every month.

Now, Mark has 360 minutes each month

therefore, Mark has 360/30 minutes per day

= 12 minutes each day.

Step-by-step explanation:

The percentage is the indicating hundredth thus percentage error will be 20%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Estimated books = 10

Actually number = 8

% error = (10 - 8)/10 x 100 = 20%

Hence "Since the percentage is one-hundredth of a percent, the mistake will be twenty percent.".

For more about the percentage,

brainly.com/question/13450942

#SPJ1

Answer: B

Step-by-step explanation:

(3,8) and (3,-6) both have an x of 3, but a different y, so the list is not a function. If you remove (3,-6), it is a function because the 3 no longer repeats.

Answer:

The Y=-2x coordinate plane is a two-dimensional plane that represents all possible points with coordinates that satisfy the equation Y=-2x. The Y axis is the vertical axis, and the X axis is the horizontal axis. A point on the Y=-2x coordinate plane can be represented by an ordered pair (x, y), where x is the distance of the point from the Y axis, and y is the distance of the point from the X axis. In the Y=-2x coordinate plane, the Y coordinate of a point is always equal to -2 times the X coordinate of that point.

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

f(4) = [tex]2^{4}[/tex] + 8 = 24

f(-2) = [tex](-2)^{2}[/tex]-48 = -46

24 + -46 = -22

About 24 ,758 years have passed since the cave drawings were created.

If one's age is x now, one's age will be nx in the future. Age n years from now equals x + n if the age at currently is x. Age n years ago equals x - n if the current age is x. The ages will be ax and bx in the ratio a: b.

The time since birth, which is typically expressed as an exact number of years or a finished number of years, is known as a person's chronological age.

A is the current sum.

A0 is the original sum.

A0 = A0 A0 = A0 0.05 e-0.000121t

A / A0 = e-0.000121t

0.05 = e-0.000121t, 0.05 = ln e-0.000121t, 0.05 = -0.000121t, 0.05 = e, and 0.05 = -0.000121t, respectively.

To learn more about Estimation of age visit:

https://brainly.com/question/28792084

The artwork is 24,758 years old, according to the exponential equation's solution.

Exponents are frequently referred to as strengths or indices. In plain English, a power expression is one that depicts the same number being multiplied repeatedly, whereas an exponent is a quantity that depicts the powers to which the value is increased.

A = current amount

A₀ = original amount

0.05 A₀ = A

A = A₀ [tex]e^{-0.000121t}[/tex]

A / A₀ = [tex]e^{-0.000121t}[/tex]

0.05 = [tex]e^{-0.000121t}[/tex]

ln 0.05 = ln [tex]e^{-0.000121t}[/tex]

ln 0.05 = -0.000121t ln e

ln 0.05 = -0.000121t

-2.9957 ≈ -0.000121t

24758.11 ≈ t

About 24,758 years have passed since the cave drawings were created.

To know more about Exponential visit:

https://brainly.com/question/28596571

#SPJ4

[tex]w=\sqrt{6},\sqrt{-6}[/tex]

What is modulus ?

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the output is always favourable. The equation is y = |x|.

Given:

[tex]w|w|=6\\w(-w)=6[/tex]  

or

[tex]w(w)=6[/tex]

solving both one by one,

[tex]w(-w)=6\\-w^{2} =6\\w=\sqrt{-6}[/tex]

and,

[tex]w(w)=6\\w^{2} =6\\w=\sqrt{6}[/tex]

[tex]w=\sqrt{6},\sqrt{-6}[/tex]

To know more about modulus checkout https://brainly.com/question/13103168

#SPJ1

The area of the quadrilateral ABCD, with the vertices coordinates A(-4, -2), B(-3, 2), C(2, 4), and D(4, -3), is 18 square units

A quadrilateral is a four sided polygon, that has a sum of the interior angles of 360°

The area of the quadrilateral can be calculated as comprising of the area of two triangles, with vertices; B(-3, 2), C(2, 4), D(4, -3), and B(-3, 2), C(2, 4), A(-4, -2)

The area of a triangle with known coordinates of the vertices is precented as follows;

Let (x₁, y₁), (x₂, y₂), (x₃, y₃) represent, the vertices of the triangle, we get;

A = 0.5×|x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃|

Therefore;

The area, A₁ of the triangle ΔBCD with vertices at the coordinates (-3, 2), (2, 4), (4, -3), is found as follows;

A₁ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-3) - 4 × 4 + 4×2 - (-3)×4| = 9

Similarly, the area, A₂, of the triangle, ΔBCA with vertices (-3, 2), (2, 4), (-4, -2), is found as follows;

A₂ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-2) - (-4) × 4 + (-4)×2 - (-3)×(-2)| = 9

The area of the quadrilateral, A = A₁ + A₂, is therefore;

The area of the A = 9 + 9 = 18

The area of the quadrilateral ABCD is 18 square units

Learn more about quadrilaterals here:

https://brainly.com/question/26690979

#SPJ1

Answer:

The ordered pair (3, 4) is found in the coordinate system when you move 3 steps to the right on the x-axis and 4 steps upwards on the y-axis.

Step-by-step explanation:

hope this helped:)

brainliest for the brains:)

Answer:F. √x = 5-(x + 2)

Step-by-step explanation:

Answer:

Step-by-step expl

The first three terms of an arithmetic sequence are as follows 17,13,9

The value of x in the circle is given as follows:

x = 23.

The value of x in the circle is calculated using the tangent-secant theorem, which states that when a secant and a tangent are drawn to a circle from the same external product, the product of the length of the secant and of it's external segment equals the square length of the tangent segment.

The parameters for this problem are given as follows:

Then, the value of x is obtained applying the product from the tangent-secant theorem as follows:

(2x + 29)(2x + 2) = (3x - 9)²

4x² + 62x + 58 = 9x² - 54x + 81

5x² - 116x + 23 = 0.

Which is a quadratic equation with the coefficients given as follows:

a = 5, b = -116, c = 23.

Using a quadratic equation calculator, the solutions are given as follows:

More can be learned about the tangent-secant theorem at https://brainly.com/question/9132922

#SPJ1

The length of the remaining rope is 3.73 meters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the rope = 5 meters

Length of the rope that is cut away = 1.27 meters

The remaining length of the rope.

= 5 - 1.27

= 3.73 meters

Thus,

The remaining length of the rope is 3.73 meters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1