Emmy is making glittery paper chains for a holiday party. This list shows how much glitter
she used for each paper chain.

Answer:

x = -8°

Step-by-step explanation:

Sum of a Triangle 180°

50° + 70° = 120°

120° + 68° = 188°

188° - 180° = -8°

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

Learn more on exponents here: https://brainly.com/question/29831670

#SPJ1

Answer:

MSE = 198.18 / 3 = 66.06

Step-by-step explanation:

Time period : Time series value

           1        :   9

           2       :    2

           3       :    9

           4       :    16

           5       :    11

           6       :    2

           7       :     7

3  weeks moving average

F4 = average of weeks 1-3 = ( 9 + 2 + 9 ) / 3 = 20 / 3 = 6.67

F4 = average of weeks 2-4 = ( 2 + 9 + 16 ) / 3 = 27 / 3 = 9

F4 = average of weeks 3-5 = ( 9 + 16 + 11 ) / 3 = 36 / 3 = 12

F4 = average of weeks 4 - 6 = ( 16 + 11 + 2 ) / 3 = 9.67

attached is the table showing the development of the 3-week moving average

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

A vertical line can be written in the form x = a, where a is the x-coordinate of any point on the line.

In mathematics, an equation is a statement that asserts the equality of two expressions. It contains an equals sign (=) and one or more variables, which represent unknown values. Equations are often used to solve problems and find the values of the variables that make the equation true. There are many types of equations, including linear equations, quadratic equations, and systems of equations, among others.

Here,

1. To find the equation of a line in slope-intercept form, we need to use the formula y = mx + b, where m is the slope of the line and b is the y-intercept. We are given the x-intercept and y-intercept of the line, so we can use them to find the slope and y-intercept:

x-intercept = -2, y-intercept = -10

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1), where (x1, y1) = (-2, 0) and (x2, y2) = (0, -10)

m = (-10 - 0)/(0 - (-2)) = -10/2 = -5

So the slope of the line is -5.

Now we can use the slope-intercept form equation to find the equation of the line:

y = mx + b

Substituting the values of m and b, we get:

y = -5x - 10

Therefore, the equation of the line in slope-intercept form that passes through the x-intercept = -2 and y-intercept = -10 is y = -5x - 10.

2. We are given a point (0, -6) and the slope m = 8. We can use the slope-intercept form equation to find the equation of the line:

y = mx + b

Substituting the values of m and the point (0, -6), we get:

-6 = 8(0) + b

b = -6

Therefore, the equation of the line in slope-intercept form that passes through the point (0, -6) and has a slope of m = 8 is y = 8x - 6.

3. We are given that the line is parallel to y = 5 and passes through the point (4, 9). Since the line is parallel to y = 5, it has the same slope as y = 5, which is 0. We can use the point-slope form equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values of m, x1, and y1, we get:

y - 9 = 0(x - 4)

y - 9 = 0

y = 9

Therefore, the equation of the line in slope-intercept form that is parallel to y = 5 and passes through the point (4, 9) is y = 9.

4. We are given that the line is perpendicular to x = -4 and passes through the point (3, 7). Since the line is perpendicular to x = -4, it is a vertical line and its slope is undefined. We can use the equation x = 3 to represent the line.

5. To find the slope of a line, we can use the formula:

m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

6. If the slope of a line is undefined, it means that the line is vertical. This happens when the change in the x-coordinates between any two points on the line is zero, which makes the denominator in the slope formula zero. In this case, the line does not have a slope, since the slope is defined as the ratio of the change in y-coordinates to the change in x-coordinates.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

Answer:

PR = 28

Step-by-step explanation:

Since PQRS is a rectangle, the diagonals PR and QS should have the same length. Therefore it holds:

\(9 x + 1 = 13 x - 11 \iff (13 - 9) x = 1 + 11 \iff x = \frac{12}{4} = 3\)

So, \(PR = QS = 9 \cdot 3 + 1 = 28\).

You meant PR, right? I don’t know what “tr” is.

Answer: 28 It’s the right Answer Good Luck‼️

Step-by-step explanation:

Answer:

C: 4

Step-by-step explanation:

We can rearrange the numbers:

\(-16+20=+20-16=20-16=4\)

Answer:

C. 4

Step-by-step explanation:

-16+20 equals 4 becase:

-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!

Thank You! Please Mark Me Brainliest!

Answer:

16⁷ would be the exponent

Step-by-step explanation:

Hope this helps !

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

for such more question on equation

https://brainly.com/question/27870704

#SPJ8

Answer:

4, 860 yards

Step-by-step explanation:

To find area multiply l*w. So, multiply 90 by 54 to get your answer:

90 yards × 54 yards = 4, 860 yards

if rectangular field is 90 yards long and 54 yards wide then the area of the field is 4860 square yards.

The area of Rectangle is length times of width.

Given that Grass seed is going to be spread over a playing field.

The number of bags of seed needed depends on the size of the field.

The rectangular field is 90 yards long and 54 yards wide.

We need to find the area of the field.

Length of field = 90 yards

Width of field = 54 yards

Area of Field = Length×Width

=90×54

=4860 square yards.

Hence, if rectangular field is 90 yards long and 54 yards wide then the area of the field is 4860 square yards.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

Answer:

Step-by-step explanation:

(-4,3)

Since there is one value of y for every value of x in (−4,3)

(-4,3), this relation is a function.

Answer:

this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”

(i’m doing the test rn)

Answer: PQ and P’Q’ are perpendicular (3rd option)

Step-by-step explanation: they’re both perpendicular

Answer:

6.25 feet squared of fabric needed

Step-by-step explanation:

4:5 placemats:fabric

then

5:6.25

In a case where a = 11 ft, b = 5 ft, and c = 7 ft, the surface area of the geometric shape formed by this net is B. 145 sq. ft.

The concept that will be used here is area of triangle, we will we need need to know the area of the first 2 triangles

The area of the triangle can be expressed as :

A =( 1/2 bh)

A = (1/2 ba)

Then substitute the values we have,

a = [1/2 (11 ft.) (5 ft)]

a =  27.5 sq ft.

Then we can find the value of the area as :

A = [1/2 c*b]

If we substitue the values we,

a = [1/2 (5 ft) (7 ft)]

= 17.5 sq. ft

Then we can proceed to calculate the area of the rectangle which can be done using the formula:

A = (lw) where a = (11 ft.)(5 ft.) = 55 sq. ft

We can now find the summation of all the a's as :

[2(27.5) + 2(17.5 ) + 55 ]

= 145 sq. ft.

Therefore, option B is correct.

Learn more about  surface area at:

https://brainly.com/question/16519513

#SPJ1

missing options:

A. 167 sq. ft.

B. 145 sq. ft.

C. 117.5 sq. ft.

D. 147 sq. ft.

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

To know more about factor theorem click on,

https://brainly.com/question/13547729

#SPJ2

Answer:

12mm

Step-by-step explanation:

circumference (distance around) is equal to πd.

here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm

Answer:

f(x) = 2

Step-by-step explanation:

1/2x - 3

just substitute x for 10.

1/2 * 10 - 3

5 - 3

2

Answer:

f(x)=2

Step-by-step explanation:

Because you would substitue x into the equation

f(x) = 1/2(10)-3

f(x) = 5-3

f(x) = 2

Hope it helps!

Answer:

Expert's answer

let x denote the number of tires.

x~N(36500,50002)

z=\frac{x-\mu}{\sigma}

σ

x−μ

a) P(x>40000)

z=\frac {40000-36500}{5000}

5000

40000−36500

=0.7

we check the value of p(z>0.7) from the z tables.

=0.24196

24.2% of the tires can be expected to last more than 40000 miles.

b) P(z<0.1)

the value of \phi ^{-1}(0.1)ϕ

−1

(0.1) =-1.28

z=\frac{x-\mu}{\sigma}z=

σ

x−μ

-1.28=\frac{x-36500}{5000}−1.28=

5000

x−36500

=30100 miles

BRAIN LESS ANSWER IS CORRECT

Answer:

-9,-3,3,27

Step-by-step explanation:

Just multiply x by 6 and subtract 3 to that

Answer:

-9

Step-by-step explanation:

Answer:

the opposite of division is multiplication

Answer:

\(y +5 = -\frac{2}{3}(x - 4)\)

Step-by-step explanation:

Given

\(y = -\frac{2}{3}x + 8\)

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to \(y = -\frac{2}{3}x + 8\)

This implies that they have the same slope, m

A linear equation is:

\(y = mx + b\)

Where

\(m = slope\)

By comparison: \(y = mx + b\) and \(y = -\frac{2}{3}x + 8\)

\(m = -\frac{2}{3}\)

Next, we determine the line equation using:

\(y - y_1 = m(x - x_1)\)

Where

\((x_1,y_1) = (4,-5)\) and \(m = -\frac{2}{3}\)

\(y - (-5) = -\frac{2}{3}(x - 4)\)

\(y +5 = -\frac{2}{3}(x - 4)\)

Hence,

Option C is correct