HELP please

Giving brainlyest

Answer: y=15, AQ=31, QX=14

Step-by-step explanation:

2y+1+y+1=45

3y=45

•1/3 to both sides

y=15

then substitute 15 for y in the other equations to get the result

Answer:

x=0.3

Step-by-step explanation:

-0.4x-4.15=x-1.6-2.97

-0.4x-x=-(1.6-2.97)+4.15

-1.4x=0.42

x=0.3

Answer:

x=0.3

Step-by-step explanation:

For given[tex]$\mathrm{n}$[/tex] and [tex]$\mathrm{X}_{(1)}$[/tex], we can obtain the confidence interval [tex]$(\mathrm{a}, \mathrm{b})$[/tex].

Let[tex]$\mathrm{X}_1, \mathrm{X}_2, \ldots, \mathrm{X}_{\mathrm{n}}$[/tex] be a sequence of size [tex]$\mathrm{n}$[/tex] from the exponential distribution with rate[tex]$\lambda$.[/tex] Then the probability density function of the random is a given [tex]$\mathrm{f}\left(\mathrm{x}_{\mathrm{i}}, \lambda\right)=\lambda \exp (-\lambda \mathrm{x}) ; \quad 0 \leq \mathrm{x} < \infty$[/tex]

Let us consider a ordered random sample of size [tex]$\mathrm{n}$[/tex] as [tex]$\mathrm{X}_{(1)}, \mathrm{X}_{(2)}, \ldots, \mathrm{X}_{(\mathrm{n})}$[/tex]. Then [tex]$\mathrm{X}_{(1)}$[/tex] is the smallest of the sample. The density function of the smallest sample [tex]$\mathrm{X}_{(1)}$[/tex] is give by

[tex]$$\mathrm{f}\left(\mathrm{X}_{(1)}, \lambda\right)=\mathrm{n}\left[1-\mathrm{F}_{\mathrm{x}}(\mathrm{x}, \lambda)\right]^{\mathrm{n}-1} \times \mathrm{f}(\mathrm{x}, \lambda)$$[/tex]

As the cumulative density  is given by

[tex]=\int_0^{\mathrm{x}} \mathrm{f}(\mathrm{x}, \lambda) \mathrm{dx} \\&=\int_0^{\mathrm{x}} \lambda \times \exp (-\lambda \mathrm{x}) \mathrm{dx} \\&=1-\exp (-\lambda \mathrm{x})\end{aligned}$$[/tex]

The density of the minimum of the sample is given by

[tex]=\mathrm{n} \times[1-(1-\exp (-\lambda \mathrm{x}))]^{\mathrm{n}-1} \times \lambda \times \exp (-\lambda \mathrm{x})$[/tex]

[tex]$$\begin{aligned}&=\mathrm{n} \times[\exp (-\lambda \mathrm{x})]^{\mathrm{n}-1} \times \lambda \times \exp (-\lambda \mathrm{x}) . \\&=\mathrm{n} \lambda \times \exp (-\mathrm{n} \lambda \mathrm{x})\end{aligned}$$[/tex]

Thus, here [tex]$\mathrm{X}_{(1)}$[/tex] follows gamma distribution with parameter [tex]$\alpha=1 \quad$[/tex] and [tex]$\beta=\frac{1}{n \lambda}$[/tex].

We make use of the condition that if Y follows Gamma distribution with parameter with parameter [tex]$\alpha$[/tex]and [tex]$\beta$[/tex]. Then, we have

[tex]$\frac{2 \mathrm{Y}}{\beta} \sim \chi^2(2 \alpha, \mathrm{n}-1)$[/tex]

Thus we have that

[tex]\mathrm{T}=\frac{2 \mathrm{X}_{(1)}}{\frac{1}{\mathrm{n} \lambda}} \sim \chi^2(2, \mathrm{n}-1)$$[/tex]

[tex]$$\begin{aligned}\mathrm{b} &=\frac{\chi^2\left(1-\frac{\alpha}{2}, \mathrm{n}-1\right)}{2 \mathrm{X}_{(1)} \times \mathrm{n}} \\&=\frac{\chi^2\left(1-\frac{0.03}{2}, \mathrm{n}-1\right)}{2 \mathrm{X}_{(1)} \times \mathrm{n}} \\&=\frac{\chi^2(0.985, \mathrm{n}-1)}{2 \mathrm{X}_{(1)} \times \mathrm{n}} \\\mathrm{a} &=\frac{\chi^2\left(\frac{0.03}{2}, \mathrm{n}-1\right)}{2 \mathrm{X}_{(1)} \times \mathrm{n}} \\&=\frac{\chi^2(0.015, \mathrm{n}-1)}{2 \mathrm{X}_{(1)} \times \mathrm{n}}\end{aligned}$$[/tex]

Therefore for given[tex]$\mathrm{n}$[/tex] and [tex]$\mathrm{X}_{(1)}$[/tex], we can obtain the confidence interval [tex]$(\mathrm{a}, \mathrm{b})$[/tex].

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Answer:

See below

Step-by-step explanation:

A)  Recursive Definition

The value of each term in a sequence that starts at 13 is reduced by 1.5 for each step in the sequence.

B)  Definition for nth Term

   D(n) = D(1)+(n-1)(-1.5)

    D(1) = 13

     D(n) = 13+(n-1)(-1.5)

Examples:

   D(5) = 13 + (5-1)*(-1.5)

   D(5) = 13 + (4)*(-1.5)

   D(5) = 13 - 6, or 7

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

    D(7) = 13 + (7-1)*(-1.5)

    D(7) = 13 + (6)*(-1.5)

    D(7) = 4

Answer: y=2/3x-2.03

Step-by-step explanation: This may not be exactly correct, and I don't know if you're using standard form, but I used demos the graphing calculator to make a graph, and that matches down to the 0.03 of the line.

I hope this helps, brainliest would be appreciated <3

The distance between two places along a segment of a curve is known as the arc length.

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.

There are a finite number of segments in the rectification of a rectifiable curve. Using the arc length formula, one may determine a circle's arc length given its radius and center angle. Arc length is equal to r, where r is the radian unit. Arc length is equal to (r/180), where r is the radius in degrees.,

Given :[tex]$r=1, \theta=5 \pi / 6$[/tex]

Now, arc length

[tex]&=\theta / 2 \pi * 2 \pi r \\[/tex]

[tex]&=(5 \pi / 6) / 2 \pi \times 2 \times 3.14 \times 1 \\[/tex]

[tex]&=5 / 12 \times 6.28 \\[/tex]

[tex]&=31.4 / 12[/tex]

=2.618 units

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Answer: 8 1/2

I can't give an explanation though

Polygons A'B'C'D' are not described by the rem preimage. The initial form before a change is known as the preimage. The transformation in the example below involves both a rotation and a dilation.

When three or more line segments are connected to one another, a polygon is created, which is a closed, two-dimensional, plane shape. Most frequently, when learning about geometry, we run into polygons.

A closed two-dimensional figure with three or more straight lines is what a polygon is defined as in geometry. Poly means "many" and gon means "angle" in Greek, making up the word "Polygon." We are surrounded by a wide variety of polygons.

An illustration of this is the hexagonal shape of a honeycomb. Every polygon has a unique structure, and they are all divided into different groups according to how many sides they have and other factors. This means that all polygons are closed plane shapes.

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Answer:

265

Step-by-step explanation:

the nth term of an arithmetic progression is given by

[a+(n-1)d]

where "a" is the first term, "d" is the common difference and "n" is the term you're looking for

from the question, a= 17

d=4

n=63

substituting, [17+(63-1)4]=[17+248]=265

The reason for the required step using the property of equality are as follow:

7. Addition property of equality.

8. Symmetric property of equality.

9. Reflexive property of equality.

10.Symmetric property of equality.

As given,

The reason for the required step using the property of equality are as follow:

7. 4x - 10 = 7 - 2x

4x+2x - 10 = 7

6x -10 = 7

Here

Addition Property of Equality is applied.

If x, y,  and z are real numbers, and x=y

then

x+ z=y+ z

8. 6 = x

x = 6

Here Symmetric Property of Equality is applied.

If x and y are real numbers, then

x = y

y = x

9. 4 = 4

Here Reflexive Property of Equality is applied.

If x is a real number, then

x = x

10. -3 = x

x = -3

Here Symmetric Property of Equality is applied.

If a is a and b are real numbers then,

a = b

b = a

Therefore, The reason for the required step using the property of equality are as follow:

7. Addition property of equality.

8. Symmetric property of equality.

9. Reflexive property of equality.

10.Symmetric property of equality.

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SOLUTION

The total cost of the books is $8

Calculating 20% off gives

Therefore the amount paid is $6.40

Answer:

4 = -27x^2+12x

5 = 2x^3+x^2

6 = -5x^2+4x-1

7 = x-y+2z

Step-by-step explanation:

Simple collecting like terms and distributive properties.

Finding the numeric value of the regression equation, the best prediction of Riley's height is given by:

65.84 inches.

To find the numeric value of a function, we replace each instance of the variable in the function or in the expression by the desired value.

The regression equation in this problem gives the armspan of a person, represented by y, as a function of the height x as follows:

y = 1.123x - 6.443.

Riley has an armspan of 67.5 inches, hence y = 67.5, and we can find the best prediction for his height replacing the lone instance of y in the equation by 67.5 and solving for x, as follows:

67.5 = 1.123x - 6.443.

1.123x = 67.5 + 6.443

x = (67.5 + 6.443)/1.123

x = 65.84 inches, which is the best prediction.

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Answer:

It’s B

Step-by-step explanation:I did it on edge 2022 got it right!

8(101 -34x) is the equivalent expression of 8(x+3)−14(20x−56)​

Equivalent expressions can be defined as expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify

Given 8(x+3)−14(20x−56)​

By eliminating the parenthesis:

8(x+3)−14(20x−56)​ = ( 8(x) + 8(3) ) - ( 14(20x) - 14(56) )

                            = 8x + 24 - 280x + 784         Add/Subract like terms

                           = -272x + 808

                           = 8(-34x + 101)

                           = 8 (101 -34x)

Therefore the equivalent expression for 8(x+3)−14(20x−56)​ is 8(101 -34x)

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Answer:

Point-slope form: y - 6 = -1/3(x + 6)

Slope-intercept form: y = -1/3x + 4

Answer:

D

Step-by-step explanation:

first find the zeros on the graph and their multiplicity.

zeros: -1, 2

mult: 3, 2

the equation that fits is f(x)=(x+1)^3(x-2)^2

The commutative property is not applied properly

The commutative property is an algebraic property that states that

a + b = b + a and ab = ba

The expression is given as

5 + .9y - 8

The second expression is given as

6.9y + 8 - 5

First, both expressions are not equivalent

This is because

5 + .9y - 8 = .9y - 3

6.9y + 8 - 5 = 6.9y + 3

Hence, Maggie did not apply the property properly

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The simplified expression for this problem is given as follows:

(3²)^(1/3) = 3^(2/3) = [tex]\sqrt[3]{9}[/tex]

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

The exponents for this problem are given as follows:

2 and 1/3.

Hence the product is of:

2 x 1/3 = 2/3.

Converting the fractional exponent to a rational expression, we have that:

3^(2/3) = [tex]\sqrt[3]{3^2} = \sqrt[3]{9}[/tex]

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Answer:

4 1/2

Step-by-step explanation:

Add the fractions:

11/6+8/3

11/6+16/6

27/6

27/6=4.5

False. Exponent can be as big as it wants

Answer:

all integers are rational numbers

Step-by-step explanation:

The Cost of 68 shirts is 841. The total cost formula is used to calculate a total by combining the variable and fixed costs of providing goods.

How to find Cost :

Substitute x=68 in the above equation

so ,  f(x) = 12 (68)+25

       f(x) = 841

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Answer: infinitely many solutions

Step-by-step explanation:

21 + 21 < 63

Calculate

42 < 63

infinitely many solutions

Four siblings whose ages are consecutive integers. If the sum of their ages is 86 then The eldest sibling is 20, followed by siblings 21, 22, and 23.

Consecutive means in order.  Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.

Let x = the one sibling

Let x + 1 = the second sibling

Let x + 2 = the third sibling

Let x+4 = the fourth sibling.

If you add the four siblings together they equal 86

(x) + (x +1) + (x + 2) + (x+3) = 86  I put the parentheses in so that you can see each sibling, but it is not needed.

x + x+ 1 +x + 2 + x+ 3 = 86  Combine like terms

4x + 6 = 86 Subtract 6 from both sides

4x = 80

x = 20

The eldest sibling is 20, followed by siblings 21, 22, and 23.

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Hello,

The temperature changes at rate of -1.5 degree celsius every hours and the reading of temperatures starts at 0 degree celsius which can be modeled into the linear equation of f(t) = -1.5t where f(t) is the temperature function and t is time.

The problem then asks, “what was the temperature 7 hours ago?” This question asks for the temperature 7 hours ago which means t = -7 in this case since we are solving for temperature 7 hours ago, not next 7 hours.

Time being negative in this scenario means in past or hours ago, generally time cannot be negative as it’s scalar quantity.

Substitute t = -7 in the temperature function, this’ll result in:

Therefore, 7 hours ago, the temperature was at 10.5 degree celsius. Please let me know if you have any questions!

Option(A) i.e, 60 sq. feet is an answer.

The area of a rectangle is the number of unit squares that its perimeter includes. A rectangle's area is the area it takes up within the confines of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth. A shape's area is defined as the "space enclosed within the perimeter or the boundary" of the given shape.

The area of a rectangle can be calculated using the formula Area of rectangle = length × width.

Given, length = 15 feet, width = 4 feet

put these values in given formula,

Area of rectangle =  15 * 4

                              = 60 square feet

Hence, the answer is option(A)  i.e, 60 sq. feet.

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On solving the inequality we get that values 7 and 8 are solutions to the inequality, hence, option 3.

Here, we are given an inequality as follows-

9 < 3x + 4

Inequalities are solved in a similar manner as we solve equations.

Subtracting 4 from both sides of the inequality we get-

9 - 4 < 3x + 4 - 4

5 < 3x

dividing both sides by 3, we get-

5/3 < 3x/3

5/3 < x

x > 5/3

5/3 in decimal can be written as 1.66

Thus,

x > 1.66

From the given options only 7 and 8 are greater than 1.66.

Thus, on solving the inequality we get that values 7 and 8 are solutions to the inequality, hence, option 3.

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Answer:

12-month option is cheaper per month

Step-by-step explanation:

A gym offers a 12-month membership for $125 or an 8-month membership for $90. Which option has the lesser price per month?

12-month option:

125/12 = $10.42

8-month option:

90/8 = $11.25

12-month option is cheaper per month.

The coordinates of the mid- point are (5, 16)

Given,

The midpoint of the line,  given any points A (x₁, y₁) and B(x₂, y₂) .

In the question, we are given that the midpoint  is (3, 11) and (7, 21).

and, to find the co- ordinates of the line.

Now, We know that the Formula of mid point

M = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).

Here, the points are (3, 11) and (7, 21)

Therefore,

(x, y)  =  ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).

=> (x, y) = [( [tex]\frac{3+7}{2}[/tex]) , ([tex]\frac{11 + 21}{2}[/tex]) ]

=> (x , y) = (10/2 , 32/ 2)

=> (x ,y) = (5 , 16)

Hence, The coordinates of the mid- point are (5, 16)

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Answer:

a.3.95x^2+1

9999999999999999999999999