What is the sum of the measures of the interior angles of a hexagon? Enter your answer in the box.

Answer:

-7 ≤y≤0

Step-by-step explanation:

The range is the values for y

Y goes from -7 inclusive to 0 inclusive

-7 ≤y≤0

Answer:

D. 4 root 113

Step-by-step explanation:

we have to use Pythagorean Theorem which is

a^2 + b^2 = c^2

where a and b are legs of the triangle that are 45° apart and c is the hypotenuse.

now we just plug in our values.

a^2 + (9)^2 = (47)^2

a^2 + 81 = 2209

now we're gonna solve for A (the missing side)

a^2 = 2128

now we square root both sides to undo the square on A

root(a^2) = root(2128)

because 2128 isn't a pretty root, we have to simplify it

a = 4 root(133)

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

Learn more about sum of n terms here

brainly.com/question/11688485

#SPJ1

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

To learn more on quadratic equations: https://brainly.com/question/29269455

#SPJ1

There are no extraneous solutions when plugging -7 into x-5=2(x+1).

So extraneous solutions means the solutions that you get by solving an equation, but after you try plugging it back into your original equation, the solution does not work.

Now we have our solutions of x=7, and we just need to check whether it is extraneous or not. We can do this by taking x=1 and plugging it back into your original equation  x - 5 = 2(x + 1)

x - 5 = 2(x + 1)

-7 - 5 = 2(-7 + 1)

-12 = -14 + 2

-14 + 14

0 = 0

We end up getting that 0 = 0 which is correct,

Thus, there are no extraneous solutions.when plugging -7 into x-5=2(x+1).

To learn more about extraneous solutions refer here

https://brainly.com/question/12361474

#SPJ9

Answer:

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

Simplify in below steps:

Answer:

82

Step-by-step explanation:

In order to check if x = -7 is the solution of the equation, let's use this value in the equation and check if the final sentence is true:

The final sentence is true, so the value x = -7 is the solution of the equation.

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

To know more about compound interest here

https://brainly.com/question/12106357

#SPJ1

Answer:

\(25.7 + 13.2 + 6.4 = 45.3\)

Step-by-step explanation:

Given

\(Expression: 25.65 + 13.23 + 6.35\)

Required

Approximate to nearest tenth and solve

Approximating each term to the nearest tenth, we have

\(25.65 = 25.7\)

\(13.23 = 13.2\)

\(6.35 = 6.4\)

Bring the approximated term together:

\(Expression: 25.65 + 13.23 + 6.35\) becomes

\(Expression: 25.7 + 13.2 + 6.4\)

\(25.7 + 13.2 + 6.4 = 45.3\)

Hence:

Option D answers the question

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

Answer:

6.3% chance

Step-by-step explanation:

The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

Learn more about whole number at https://brainly.com/question/461046

#SPJ1

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

Read more on word problems;

https://brainly.com/question/28339921

#SPJ1

Step-by-step explanation:

b)

\( {x}^{2} + x - 156 = 0 \\ (x + 13)(x - 12) = 0 \\ x = - 13 \\ or \\ x = 12\)

edmentum answer and yea you're welcome

It should be noted that the quadrilateral is a trapezoid.

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.

A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.

The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.

A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.

Learn more about trapezoid

brainly.com/question/1410008

#SPJ2

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

Find more exercise on The ratio of a surface area;

https://brainly.com/question/29449175

#SPJ1

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1

Answer:

First,you need to find the components of each force.

Answer:

ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

noWrite a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.Write a linear function f with the values f(-9) = 8 and f(0) = 1.

The fact that the space of polynomials of degree N in K variables is spanned by all possible monomials of the form \(x_{1} ^{k}\)*\(x_{2} ^{k_{2} }\)...\(x_{k} ^{k_{k} }\), where the exponents satisfy k1 + k2 + ... + kK = N. The number of such monomials is (N+K choose K), which gives the dimension of the space of polynomials of degree N in K variables

A degree 2 polynomial in 3 variables 21, 22, 23 is of the form a\(x^{2}\) + b\(y^{2}\) + c\(z^{2}\) + dxy + exz + fyz + gx + hy + iz + j for some numbers a, b, c, d, e, f, g, h, i, j. Different choices of (a, b, c, d, e, f, g, h, i, j) result in different polynomials.

To completely determine such a polynomial, we need 10 coefficients: a, b, c, d, e, f, g, h, i, and j. Therefore, the dimension of the space of degree 2 polynomials in 3 variables is 10.

In general, the dimension of the space of polynomials of degree N in K variables is given by the formula:

(dimensions of polynomials of degree N in K variables) = (N+K choose K) = ((N+K)!)/(N!K!)

This formula is a consequence of the fact that the space of polynomials of degree N in K variables is spanned by all possible monomials of the form \(x_{1} ^{k}\)*\(x_{2} ^{k_{2} }\)...\(x_{k} ^{k_{k} }\), where the exponents satisfy k1 + k2 + ... + kK = N. The number of such monomials is (N+K choose K), which gives the dimension of the space of polynomials of degree N in K variables.

To learn more about polynomials:

https://brainly.com/question/11536910

#SPJ4

Answer: I believe its all of them...

Step-by-step explanation:

Answer:

that is a trapezoid.if it were a rectangle it would have four sides but not equal if it was a square it would have four sides but equal.a parallelogram it would be seen somehow slopy and a rhombus too.so that is a trapezoid.

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

To know more about slope , visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

The following data relates the time a student spends on an online test with the final score: (8 points, 20 minutes), (22 points, 40 minutes), (33 points, 58 minutes), (38 points, 120 minutes). Use your TI83 to determine the linear regression equation, and choose the best response below a. Points = -9.3(minutes) +0.26

Step-by-step explanation:

That's literally it hehe