Plz help, This is due in a hour ;(

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer: 64%

Step-by-step explanation:

Given: Size of photo = 7-by-5-inch

Area of photo = 7 x 5 = 35 sq. inches   [ Area = Length x width]

Required size = 4.2 inches by 3 inches

Area of required size = 4.2 x 3 =12.6 sq. inches

Area reduced =Area of photo  - Area of required size = 35-12.6 =22.4 sq. inches

Percentage of the photo need to be reduced to in order for it to fit in the allotted space

\(=\dfrac{22.4}{35}\times100=64\%\)

Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%

H

Answer:

7 x 3 .

Step-by-step explanation:

Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√49x7 f - 1 ( x ) = 49 x 3 7 is the inverse of f(x)=7x3 f ( x )

The inverse function is y= (x-3)/7

An expression which defines the relationship between two variables (one independent and one dependent variable).

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes with the change of independent variable.

A function that undoes the original function is called the inverse function.

To find the inverse function of a given function,

In the problem,  

y=7x+3

To find the inverse

x = 7y + 3    ( interchanging the variables )

Now finding the value of y,

⇒ x - 3 = 7y

⇒ y = (x-3)/7

This is the inverse function.

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my opinion answer c solution to the equation X3 equals to 8 is X = 24

Answer:

D

Step-by-step explanation:

it is correct cause x^3 power is 125 and x is 5

Answer: y = 6x

Step-by-step explanation:

This table portrays a straightforward proportion between x and y.  y is very simply 6 times x.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Well if you want me to graph it look the the image below.

But I’m not sure you properly stated this question.

Answer:

4

Step-by-step explanation:

Given that:

Mean temperature (m) = 36°C

Standard deviation (s) = 3°C

Temperature between 39°C and 42°C

Temperature < 39°

Probability of temperature < 39

P(x < 39)

The standardized score (Z) :

Z = (x - m) / s

Z = (39 - 36) / 3 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Temperature < 42°

Probability of temperature < 42°

P(x < 42)

The standardized score (Z) :

Z = (x - m) / s

Z = (42 - 36) / 3 = 2

p(Z < 2) = 0.97725 ( Z probability calculator)

p(Z < 2) - p(Z < 1) = 0.97725 - 0.84134 = 0.13591

Hence, number of days in June = 30

Expected number of days = 30 * 0.13591 = 4.0773 = 4 (nearest whole number)

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer: Yes, if there is no number in front of a variable(or letter, as you said), it is actually 1.

a = 1a

x^2 = 1x^2

2m + n = 0 means 2m + 1n = 0

Step-by-step explanation:

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

  x = 1

Step-by-step explanation:

f(x) = g(x) where the graphs cross, at x = 1.

Answer:

47.06%

Explanation:

First, let's calculate the number of miles that Hannah has driven. So:

680 miles - 360 miles = 320 miles

Now, to know what percent represents 320 miles, we need to divide this quantity by the total number of miles and then multiply by 100, so:

Therefore, she has driven 47.06% of the trip.

Step-by-step explanation:

chicken nuggets are so bussing that the answer is c

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

Answer:

12

Step-by-step explanation:

Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16

n = 7

Median = value of ((n + 1) / 2) th term

             = value of (7+1) / 2 th term

             = value of 4 th term

             = 12

Hope it helps :)

Assuming we need to find out what 20% off of the prices listed is, we can set up equations for each of them, where x is the original price.

New price = \(\frac{8}{10} x\) or simplified to \(\frac{4}{5} x\)

So, putting the original prices through the formula, we get these values:

$15 --> $12
$12 --> $9.60
$25 --> $20
$120 --> $96
$35 --> $28
$28 --> $22.40

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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The set {0,1,2,3} as a set builder notation is {x ∈ N | 0 <= x <= 3}

From the question, we have the following parameters that can be used in our computation:

Set = {0, 1, 2, 3}

As a general rule:

The set-builder notation is a notation that describes a set by representing its elements or explaining the properties that its members must satisfy

Using a set builder notation, we have the following representation

{x | x ∈ {0, 1, 2, 3}}

It can also be represented as

{x ∈ N | 0 <= x <= 3}

where N is the set of all natural numbers.

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The length of the measurements are;

EF = 7. 1 units

DE = 7. 0 units

Using the sine trigonometric identity, we have that;

sin θ = opposite/hypotenuse

Given that;

Opposite side = DE

Hypotenuse = DF

Substitute the values

sin 45 = DE/10

Find the value and substitute

DE = 0. 7071(10)

DE = 7. 0

Using the Pythagorean theorem;

EF² = 10² - 7²

find the square value

EF = √ 51

EF = 7.1

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Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)

This probability is extremely small, so it can be considered unusual and not typical variation.

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An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer:

Answer- 0

Step-by-step explanation:

2+2+2-2+4-8= 4-2+4-8=0

hope this helps :)

Answer:

Distance xy is 6

Distance yz is 11

Step-by-step explanation:

Given that the full length between x and z, xz = 17

Point y is located along xz where :

yz = 3x-10

xy = 2x-8

A simple sketch to show the distance and points can be;

x----2x-8---------y------3x-10-----------z

-----------------------17-----------------------

So you can see from this sketch that;

(2x-8) +(3x-10) = 17

2x-8+3x-10=17

5x-18=17

5x=17+18

5x=35

x=35/5 = 7

x=7

Distance xy=2x-8 = 2(7)-8 = 14-8 = 6

Distance yz=3x-10 = 3(7)-10 = 21-10 =11

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

We have the x values to be

x = ±5 to 0

Substitute the known values in the above equation, so, we have the following representation

f(5) = (5)^2 - 1 = 24

f(4) = (4)^2 - 1 = 13

f(3) = (3)^2 - 1 = 9

f(2) = (2)^2 - 1 = 3

f(1) = (1)^2 - 1 = 0

f(0) = (0)^2 - 1 = -1

Next, we plot the graph using the points

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