Help help help please hurry

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Answer:

There is a 20% probablity that the marble will be green :)

Step-by-step explanation:

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

Learn more about distance between a point and a line on:

https://brainly.com/question/18276750

#SPJ1

Answer:

2021

Step-by-step explanation:

The simplified numerical value of the given expression that is: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1) is 2021 and this can be determined by using the formula of nth terms and sum of n terms in arithmetic progression.

Given :

Arithmetic Progression --  (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1)

The given expression can be written as the sum of two arithmetic progressions, that is:

\(\rm = B_1+B_2\)

where \(\rm B_1\) is (4042 + 4040 + 4038 + … + 6 + 4 + 2) and \(\rm B_2\) is (4041 + 4039 + 4037 + … + 5 + 3 + 1).

The number of terms in progressions \(\rm B_1\) and \(\rm B_2\).

In progression \(\rm B_1\) the total number of terms are:

\(2=4042+(n-1)(-2)\)

-4040 = -2(n - 1)

2020 = n - 1

2021 = n

In progression \(\rm B_2\) the total number of terms are:

\(1=4041+(n-1)(-2)\)

-4040 = -2(n - 1)

2020 = n - 1

n = 2021

The sum of n terms in the arithmetic progression \(\rm B_1\) is:

\(\rm S_n = \dfrac{2021}{2}(2(4042)+(2021-1)(-2))\)

\(\rm S_n = {2021}(4042-2020)\)

\(\rm S_n =4126882\)

The sum of n terms in the arithmetic progression \(\rm B_2\) is:

\(\rm S_n = \dfrac{2021}{2}(2(4041)+(2021-1)(-2))\)

\(\rm S_n = {2021}(4041-2020)\)

\(\rm S_n =4124861\)

So, the value of \(\rm (B_1-B_2)\) is:

= 4086462 - 4084441

= 2021

The simplified numerical value of the given expression that is: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1) is 2021.

For more information, refer to the link given below

https://brainly.com/question/9230320

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

Learn more about linear equations by reading:

https://brainly.com/question/1884491

#SPJ1

y is a function of x.

A mathematical relationship between an input (x) and an output (y) where each input has exactly one output is known as a function. There are no multiple possibilities of y for a single value of x in the preceding equation, which expresses y as a combination of x², x, and a constant term. As a result, the equation meets the criteria for a function.

Yes, y = 2x² - 4x + 10 is a function.

A function is a mathematical rule that assigns to each input (x-value) exactly one output (y-value). In the given equation, for any value of x, we can calculate the corresponding value of y using the given equation. Therefore, y is a function of x.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ1

Complete question :

The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Answer:

(−0.0085 ; 0.0481)

Step-by-step explanation:

Given that :

n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%

Zα/2 = 1.96 ( Z table)

Confidence interval : (p1 - p2) ± E

E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]

p1 = x1 /n1 =181/1205 = 0.1502

q1 = 1 - p1 = 1 -0.1502 = 0.8498

p2 = x2/n2 = 143/1097 = 0.1304

q2 = 1 - p2 = 1 -0.1304 = 0.8696

E = 1.96 * √(0.0001059 + 0.0001033)

E = 0.0283

p1 - p2 = 0.1502 - 0.1304 = 0.0198

Lower boundary = 0.0198 - 0.0283 = −0.0085

Upper boundary = 0.0198 + 0.0283 = 0.0481

(−0.0085 ; 0.0481)

the volume of the cone as a polynomial function is:

\(V(x) = 1/3 * \pi * (16x^3 - 16x^2 + 8x - 1)\)

What is radius ?

Radius is a measure of the distance from the center of a circle or a sphere to its outer edge or boundary. In other words, it is the distance between the center of the circle or sphere and any point on its circumference or surface. The radius is usually denoted by the letter "r" and is an important parameter used in many mathematical and scientific calculations involving circles and spheres.

According to the question:
The radius of the cone is given as 4x + 1, and the height is 5 units less than the radius, which can be expressed as (4x + 1) - 5 = 4x - 4.

The volume of the cone is given by the formula\(V = 1/3 \pi V = 1/3 * \pi * r^2 * h * r^2 * h\), where r is the radius and h is the height.

Substituting the given values, we get:

\(V = 1/3 * \pi * (4x + 1)^2 * (4x - 4)\)

Expanding and simplifying, we get:

\(V = 1/3 * \pi * (16x^3 - 16x^2 + 8x - 1)\)

Therefore, the volume of the cone as a polynomial function is:

\(V(x) = 1/3 * \pi * (16x^3 - 16x^2 + 8x - 1)\)


To know more about radius visit:
https://brainly.com/question/22269716
#SPJ1

The interval (-6, 7) on the number line is therefore the graph of the answer to the compound inequality 7x + 3< 52 and 3 - x <9.

A graph is a graphic depiction of a collection of ordered pairs that often depicts the connection between two variables in mathematics. A coordinate plane makes up the graph, usually with the horizontal axis denoting one variable and also the vertical axis denoting the other. Graphs can take on a variety of shapes based on the function or relationship they are representing. Line graphs, graphs, scatter graph, and pie charts are examples of common graph forms. Graphs are frequently used in algebra to depict equations, measures, and inequalities visually.

given

To plot the compound inequality's solution:

7x + 3 < 52 and 3 - x < 9

The two solution sets must first be intersected before we can determine the solution set for each inequality separately.

addressing the initial disparity

7x + 3 < 52

By taking 3 away from both edges, we arrive at:

7x < 49

When we multiply both parts by 7, we get:

x < 7

The following is the answer set for the first inequality:

(-∞, 7)

How to overcome the second disparity

3 - x < 9By taking 3 away from both edges, we arrive at:

-x < 6

When we reverse the inequality sign and divide both sides by -1, we get:

x > -6

For the second inequality, the following is the answer set:

(-6, ∞)

We must identify the values of x that meet both inequalities in order to determine the intersection of the two solution sets. This results in:

(-∞, 7) ∩ (-6, ∞) = (-6, 7) (-6, 7)

The interval (-6, 7) on the number line is therefore the graph of the answer to the compound inequality 7x + 3< 52 and 3 - x< 9.

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ4

Answer:

D. tossing a coin 3 times

Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

Learn more about mathematical operations at brainly.com/question/20628271

#SPJ1

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

To learn more about graph refer to :

https://brainly.com/question/19040584

#SPJ1

Answer:

quisiera ayudarte pero no hablo inglés

Answer:

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

      = x² + 8x + 16 - 3x - 12 - 2

      = x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

Answer:

87/54 = m

Step-by-step explanation:

-11/6 + m = -2/9

Here is one way to solve this:

First, we can remove the fractions. We can do this by multiplying both sides by both denominators.

multiply both sides by 6

-11 + 6m = -12/9

multiply both sides by 9

-99 + 54m = -12

add 99 to both sides to isolate the m and its coefficient

-12+99= 54m

87 = 54m

divide both sides by 54 to isolate m

87/54 = m

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

Learn more about volume of a prism here:

https://brainly.com/question/21308574

#SPJ1

The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

1. First answer

2. Third Answer

3. First answer

Step-by-step explanation:

Answer:

7:1, 45(I think) ,$7.95 per book

Step-by-step explanation:

1. For every green eyes, there are 7 brown eyes.
2. Not sure, let me know if I was right or wrong.
3. Divide 95.40 by 12.

Answer:

  First "order of operations" mistake: step 2

  First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

  \(\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}\)

for x = -1 and y = 2.

Her work seems to be ...

Step 1

  \(\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}\)

Step 2

  \(\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}\)

Step 3

  \(\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}\)

Step 4

  \(\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}\)

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

  \(\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}\)

__

We expect your answer is supposed to be Step 4.

Answer:

D.

Step-by-step explanation:

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

For such more questions on steepest slope

https://brainly.com/question/10726891

#SPJ8

The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.

Let us assume that, T = the total amount of time Bob spends in the hardware store.

Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1

Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1

Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods

Let us assume that,  T4 = the amount of time it takes for Bob to pay server 2 for his goods

So, the value of total time T will be

T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]

Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution

E[T2] = 6 min.

To find E[T3], the condition on the availability of server 2 after Bob is done with server 1

So, the value of E[T3] will be

E[T3] = E[T3 | Server 2 is free] P(​Server 2 is free) + E[T3 | Server 2 is not free] P(​Server 2 is not free)

= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)

\($$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$\)= 3(1/3) = 1 min. and E[T4] = 3 min.

So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]

or, E[T] = 6+6+1+3= 16 minutes

For more question on exponential distribution

https://brainly.com/question/13339415

#SPJ4

Answer:

what we have to find , please complete the question

Answer:

A

Step-by-step explanation:

The table shows that more Republicans and Democrats do not support the law than do support the law

Answer:

\(volume \: of \: the \: rectriangular \: prism = ( \frac{1}{2} \times base \times 4) \times 2 \\ 4 \times base = 40 \\ base = 10m\)

Answer:

length = 15 meters

Step-by-step explanation:

Volume of a pyramid is:

V = l*w (h/3)

We know that; Volume is 40, Width is 2, and Height is 4, therefore;

40 = l*2 (4/3)

40 = 2l (4/3)

(3/4) * 40 = 2L

30 = 2L

30/2 = L

15 = L

therefore the length = 15 meters

Hope this helps!

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

To learn more on travelled distances: https://brainly.com/question/29055485

#SPJ1

Answer:

8400

Step-by-step explanation:

Its too long and I answered it before