The coordinates of the vertices of a polygon are (-2, -3), (-2, 1), (0, 3), (3, -1), and (3, -3). What is the perimeter of the polygon to the nearest tenth of a unit?

we have

35/40

Simplify

Divide by 5 both numerator and denominator

7/8

Divide

7/8=0.875

or

35/40=17.5/20=8.75/10=0.875

x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.

Inverse function is a function which reverse one function to another.

If a function f takes the variable x to y, then the inverse of a function must takes y to x.

To get the inverse of the function, we have to interchange the variables.

Given equation is y = x² - 7

Now interchange the variable x to y and y to x,

we get  x = y² - 7

Hence, the required equation is x = y² - 7

Learn more about inverse of  function here:

brainly.com/question/12041319

#SPJ4

Answer:

I NOT 100% SURE BUT I THINK ITS .B)

Step-by-step explanation:

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

The answer is no.

Step-by-step explanation:

For something to be a function it cannot repeat an x. In this example, on the left side, the -1 goes to two numbers, so written out that means (-1,2) and (-1,-1). This means that the number set has two -1's which means it cannot be a function.

Answer:

a

Step-by-step explanation:

because the rest aren't true

Answer:

A. because the rest are not true

Answer:

x

=

4

or

x

=

−

4

Explanation:

First divide throughout by

2

to get

x

2

=

16

Now take the square root on both sides to get

x

=

±

4

.

You may now substitute the values of

x

=

4

and

x

=

−

4

back into the original equation and check that it satisfies the equation which it does.

Step-by-step explanation:

Answer:

x= -3 , x=5

Step-by-step explanation:

4|2x-2|=32

|2x-2|=8

2x-2=8

2x-2= -8

x=5

x=-3

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

If you do 8+42, you will find out there are 50 members. Do 8/50 and you get 0.16. Multiply it by 100 and you get your answer of 16, add the percentage at the end. Then you get your answer of 16%.

Answer:

16%

Step-by-step explanation:

Total members: 8+42 = 50

What percentage is 8 of 50

x/100 = 8/50

(8 * 100) / 50 = 16%

the slope is -4

hope this helps!!

Answer:

the slope is -4

Step-by-step explanation:

Answer:

the missing exponet is 72

Step-by-step explanation:

you do that because you do 18 times 4

Trigonometric ratios are ratios between any two sides of a right triangle that can then be used to determine the measure of an angle between those two sides. Primary trigonometric ratios (in a right triangle trigonometry) are: sin (x), cos (x) and tan (x)

On the basis of any two side lengths, we may even determine the acute angle measurements in a right triangle. We may get the ratios of the lengths of the triangle's sides to an acute angle in a right triangle by knowing the acute angle's measurement.

In a triangle, the longest side is located across from the largest angle, while the shortest side is located across from the smallest angle.

Triangle Unfairness: The lengths of any two sides added together in a triangle always exceed the length of the third side.

Pythagoras Theorem, a²+b²=c² in a right triangle with hypotenuse c.

A triangle is a right triangle if its sides conform to the relationship a²+b²=c²

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

Remember that the Pythagorean theorem only holds true for right triangles, in which case the converse of the theorem also holds true. In other words, if a triangle's sides satisfy the connection, then it must be a right triangle.

To know more about the Pythagorean theorem, visit:

https://brainly.com/question/14930619

#SPJ1

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

Learn more about Intersecting Secant-Tangent Theorem on:

brainly.com/question/27160891

#SPJ1

At Priscilla's school, the final grade for her Calculus course is weighted as follows: Tests: 50% Quizzes: 30% Homework: 20% Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework. What is Priscilla's weighted average?

Weighted Average gives weights to each percent of the average as follows:

Weighted Average = Average * weighting percent

Weighted Average = Test Average * Test Weighting + Quiz Average. * Quiz Weighting + Homework Average * Homework Weighting

Weighted Average = 87% * 50% + 100% * 30% + 20% * 20%

Weighted Average = 43.5% + 30% + 4%

Weighted Average = 77.5%

77.5%

Learn more:

https://brainly.com/question/26499519

Graphing

https://brainly.com/question/26479805

Converting fractions into decimals

Thank You!

Answered by: ms115

Answer:

60 inches or 5 feet

Step-by-step explanation:

36 inches + 2 feet (24 inches) = 60 inches, also 5 feet

Answer:

The last one is the answer ....

help me by marking as brainliest....

Answer:

xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Answer:

p (13 - 4 p)

Step-by-step explanation:

Simplify the following:

2 p (p + 2) - 3 p (2 p - 3)

Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).

Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):

p (2 (p + 2) - 3 (2 p - 3))

Hint: | Distribute 2 over p + 2.

2 (p + 2) = 2 p + 4:

p (2 p + 4 - 3 (2 p - 3))

Hint: | Distribute -3 over 2 p - 3.

-3 (2 p - 3) = 9 - 6 p:

p (2 p + 9 - 6 p + 4)

Hint: | Group like terms in 2 p - 6 p + 4 + 9.

Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):

p (4 + 9) + (2 p - 6 p)

Hint: | Combine like terms in 2 p - 6 p.

2 p - 6 p = -4 p:

p (-4 p + (4 + 9))

Hint: | Evaluate 4 + 9.

4 + 9 = 13:

Answer: p (13 - 4 p)

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

For such more question on equation:

https://brainly.com/question/17145398

#SPJ8

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.

A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.

If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.

Learn more about confidence interval,

https://brainly.com/question/17097944

#SPJ11

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

Read more on quadratic functions here: brainly.com/question/24020644

#SPJ1

Answer:

see below

Step-by-step explanation:

32^5 - 16^5 +2^19 = (2*16)^5 - 16^5 +2^19

= 2^5 *16 ^ 5 - 16^5+ 2^19

=32* 16 ^ 5 - 16 ^ 5 + 2^19

=31 * 16^5 + 2^19

=31 *2 ^(4*5) + 2^19

= 31 *2^20 + 2^19

= 62 *2^19 + 2^19

=63*2^19

so it's dvisible by 63

Answer:

  y = x +5

Step-by-step explanation:

The equation of a parallel line will have the same x- and y-coefficients, but a different constant. You need to find the constant that makes the line go through the given point.

The given line is y = x +1. The equation you're looking for is

  y = x +c . . . . . . for some new constant c

We want this equation to be true for (x, y) = (-2, 3). Putting these values into the equation, we can solve for c.

  3 = -2 +c

  5 = c . . . . . . add 2

The desired equation is y = x +5.

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

Answer:

1) is correct. not second

Step-by-step explanation:

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

Given function y =45(0.974)ˣ is a function of exponential decay and percentage rate of decrease is 2.6%.

The exponential function is an function f(x) = a(b)ˣ

a = initial amount when x= 0

b= base that is multiplied and it is greater than 0

And x is the variable in the exponent

When b> 1 , the values of this function goes up and up and then this function shows exponential growth.

When 0< b< 1, the values of this function becomes smaller as x increases then this function shows exponential decay.

And r is the percentage rate of change where b =r +1

Given function is y = f(x) = 45(0.974)ˣ

When we compare it with standard function f(x) = a(b)ˣ

we get a = 45 and b =0.974

As b is between 0 and 1 in this case, therefore this function is exponential decay.

b =r+ 1

therefore r = b-1 = 0.974-1 = -0.026

converting 0.026 to percentage we get -0.026*100= -2.6% ( negative sign shows decrease)

Therefore, we can say that the given function represents exponential decay function and rate of decrease is 2.6%

Also, Learn more about exponential functions from:

https://brainly.com/question/14355665

#SPJ1

Answer:

x = -4 and x = 6

Step-by-step explanation:

Factor using AC method.

1 × -24 = -24

Factors of -24 that add up to -2 are +4 and -6.

P(x) = (x + 4) (x − 6)

Therefore, zeroes of P(x) are x = -4 and 6.