PLEASE HELP ME ASAP

Solve for x in the diagram below

Answer:

\(C= 15.7 \ inches\)

Step-by-step explanation:

\(C=2\pi r\)

radius (r) is half of the diameter

\(r= \frac{d}{2} = \frac{5}{2} = 2.5 \ inches\)

\(C=2(3.14)(2.5)= 15.7 \ inches\)

The equation for the line of best fit in slope-intercept form is y = 1.99x + 2.2.

a) To compute the line of best fit through linear regression, we need to calculate the following four sums:

Sum of x: Σx

Add up all the x-values: -3 + (-1) + 0 + 2 + 4 = 2

Sum of y: Σy

Add up all the y-values: -3 + (-1) + 2 + 5 + 12 = 15

Sum of x²: Σx²

Square each x-value and add them up: (-3)² + (-1)² + 0² + 2² + 4² = 30

Sum of xy: Σxy

Multiply each x-value with its corresponding y-value and add them up: (-3)(-3) + (-1)(-1) + (0)(2) + (2)(5) + (4)(12) = 64

b) Using the four sums calculated above, we can find the equation for the line of best fit in slope-intercept form.

The slope (m) of the line is given by the formula:

m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)

where n is the number of data points. In this case, n = 5.

Plugging in the values, we have:

m = (5(64) - (2)(15)) / (5(30) - (2)²)

m = (320 - 30) / (150 - 4)

m = 290 / 146

m ≈ 1.99 (rounded to 2 decimal places)

The y-intercept (b) of the line is given by the formula:

b = (Σy - mΣx) / n

Plugging in the values, we have:

b = (15 - (2)(2)) / 5

b = (15 - 4) / 5

b = 11 / 5

b ≈ 2.2 (rounded to 2 decimal places)

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The x intercept is - 20/3 and y intercept is 10 for line  - 6x + 4y = 40

The slope-intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept.

The given equation of the graph;

- 6x + 4y = 40

Let's rewrite this equation in slope intercept form as;

4y = 40 + 6x

y = 40/4 + 6x/4

y = 3x/2 + 10

So the y-intercept is 10.

To find the x-intercept we have to put the y value as zero that is;

y = 3x/2 + 10

0 = 3x/2 + 10

Subtract 10 on both sides;

- 10 = 3x/2

x = - 20/3

y intercept: 10, x intercept: - 20/3

Hence x intercept is - 20/3 and y intercept is 10 for line  - 6x + 4y = 40

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If She can buy 5 sandwiches and have $3 in change or she can buy 2 sandwiches and have $9 in change then the cost of one sandwich is $4.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

Let's assume the cost of one sandwich to be 'x' dollars.

According to the problem, Jessie can buy 5 sandwiches and have $3 in change. This can be represented by the equation:

5x + 3 = total cost of 5 sandwiches with $3 change

Similarly, Jessie can also buy 2 sandwiches and have $9 in change, which can be represented by the equation:

2x + 9 = total cost of 2 sandwiches with $9 change

We can now solve these two equations to find the value of 'x', which represents the cost of one sandwich.

5x + 3 = 2x + 9 + 3

3x = 12

x = 4

Therefore, the cost of one sandwich is $4.

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Answer:

Angle T

Step-by-step explanation:

Because it’s the closest to Angle R

if I'm right the small triangle is similar to the big one so it would be R&T just like Q&U and S&V go together

Answer:

See below

Step-by-step explanation:

\(1\cdot24=2\cdot12=3\cdot8=4\cdot6=24\)

Answer:

1. 24

2. 12

3. 8

4. 6

Step-by-step explanation:

2 x 12 = 24, 3 x 8 = 24, 4 x 6 = 24

The answer you are looking for is x=12.

Solution/Explanation:

Writing out the equation first:

-28=2x+8-5x

Combine like terms

-28=2x-5x+8

Simplify

-28=-3x+8

Now, subtract 8 from both sides

-28-8=-3x+8-8

8-8 cancels out, since it equals 0.

-28-8=-3x+0

-28-8=-3x

Simplifying the left side

-36=-3x

Finally, dividing both sides by -3

-36/-3=-3x/-3

You will get 12=x, or x=12.

So, therefore, the final answer to this problem is simply x=12.

Hope this helped answer your question for you. Good day to you.

Answer:

t= 12.433

Step-by-step explanation:

Answer:

the point (-3, 5) would be plotted in the second quadrant, quadrant ||

Step-by-step explanation:

Answer:

part a:

x lengths = 6

unit lengths = 2

part b:

6x+2

Step-by-step explanation:

You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2

Answer:

Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.

Step-by-step explanation:

The required linear equation is y = -4x + 40 which the graph is shown below.

As per the given graph,

The relationship between the increased amount (x) and the resulting area of the rectangle (A) follows a quadratic relationship.

Here, points (0, 40) and (5, 20)

The slope of the line can be calculated as follows:

slope m = (20-40)/(5-0)

slope m = -20/5

slope m = -4

So, the linear equation is :

y - 40 = -4(x -0)

y = -4x + 40

Therefore, the required linear equation is y = -4x + 40 which the graph is shown below.

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The complete question is in the attached image.

Answer:

no

Step-by-step explanation:

because triangle abc and triangle acer have unequal ratio of side lengths

The volume of the solid is (3π/5) units^3.  To find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y=x^1/4 and y=x/64 about the y-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is in the 1st quadrant, we can integrate from y=0 to y=1. To find the corresponding x-values for these limits, we can set y=x^1/4 and y=x/64 equal to 1 and solve for x:

x^1/4 = 1 => x = 1

x/64 = 1 => x = 64

So, our limits of integration are x=1 to x=64.

Next, we need to find an expression for the radius of each cylindrical shell. The radius is simply the distance from the y-axis to the curve at a given y-value. So, for a given y, the radius is:

r = x - x^1/4

Finally, we need to find an expression for the height of each cylindrical shell. The height is the infinitesimal change in y, which is simply dy. So, the volume of each cylindrical shell is:

dV = 2πr dy

Putting it all together, we have:

V = ∫(2πr) dy from y=0 to y=1

= ∫2π(x - x^1/4) dy from y=0 to y=1

= 2π ∫(x - x^1/4) dy from y=0 to y=1

= 2π ∫(y^4 - y) dy from y=0 to y=1

= 2π [y^5/5 - y^2/2] from y=0 to y=1

= 2π [(1/5) - (1/2)]

= (3π/5) units^3

Therefore, the volume of the solid is (3π/5) units^3.

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(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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The cost of renting a bicycle for 9 hours is $72.  The result is obtained by multiplying the rate and time duration.

The cost of rent related to time of rent. It could be cost per hour or cost per day.

The table is in the attachment to complete question.

We have the cost of renting a bicycle at Ike's Bikes.

Find the cost for 9 hours!

We take a sample of the data to find the rate.

The rate is

= $16/2 hours

= $8 per hour

Another sample will have the same result.

To rent for 9 hours, the cost will be

= $8 × 9

= $72

Hence, to rent a bicycle for 9 hours, it will cost $72.

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Given:

Angle STV is a straight angle. The measure of angle WTV is 65°. The measure of angle STW is x°.

To find:

The value of x.

Solution:

Angle STV is a straight angle. So, the measure of angle STV is 180 degrees.

\(m\angle STV=180^\circ\)

\(m\angle STW+m\angle WTV=180^\circ\)

The measure of angle WTV is 65°. The measure of angle STW is x°.

\(x^\circ+65^\circ=180^\circ\)

\(x^\circ=180^\circ-65^\circ\)

\(x^\circ=115^\circ\)

\(x=115\)

Therefore, the value of x is 115.

:

75

Step-by-step explanation:

Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.

Let on represent the number of a ways

for the number of different ways the bus

The driver can pay a toll of 5n rent first case.

The first case used in a nickel then there are ways to pay =

57 - 5 = 5 ( 1 - 1 ) cents

The second case: - The coin used is a dime, then

there is a long way to

pay 5n - 10 2 5 ( 1 - 2 ) cents -

Adding the numbers of sequence of all

In three cases, we then obtain

an = an - 1 an +2

Initially, when n 20 there is exactly I way to pay cents ( using no coins )

when an = 1 there is exactly I to way

to pay 5 cents ( using one tickle )

q =f .

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The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

0.05723 is 0.05223 greater than 0.005.

"Greater than" is a comparison term used to indicate that one quantity or value is larger or more than another quantity or value. It is represented mathematically by the symbol ">".

"Lesser than" is a comparison term used to indicate that one quantity or value is smaller or less than another quantity or value. It is represented mathematically by the symbol "<".

In the given question,

To find out how much greater 0.05723 is than 0.005, we can subtract 0.005 from 0.05723:0.05723 - 0.005 = 0.05223

Therefore, 0.05723 is 0.05223 greater than 0.005.

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The range of the graph is [3, ∞), because it has a minimum value at y = 3

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

The graph

The above graph is an absolute value graph

The rule of a graph is that

Using the above as a guide, we have the following:

Domain = All real values

Range = [3, ∞), because it has a minimum value at y = 3

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Answer:

15

Step-by-step explanation:

2 * 3 = 6

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

Negative Integer

-4

-4 - 0 = -4

-4 × 2.5 = 10

-4 ÷ 4 = -1

-4 + -2 = -6

Positive Integer

5

5 - 9 = -4

5 × 2 = 10

5 ÷ -5 = -1

5 + -11 = -6

Answer:

{x,y} = {-1,-9}  

Step-by-step explanation:

Answer:

m = [F(y2) - F(y1) ] / [[F(x2) - F(x1)]      slope of a line

[9 - 6] / [x - 1] = 1       that an increase in x equals the increase in y

Obviously, x must equal 4 so 3 / 3 = 1 or when x increases by 3, y must also increase by 3 for m to equal 1

Answer:

5y * 4x or 5y4x

Step-by-step explanation:

:)

Answer:

9

Step-by-step explanation: