how long is the journey from Newport to Shrewsbury if you catch the 04:58 train

Answer:

id say givin the mean for both of them.

35.7 minets aproximatly

please give brainlest

Step-by-step explanation:

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

for such more question on equation

#SPJ8

Answer:

- 7x ² -x +10

Step-by-step explanation:

⇒Given

10-x- 7x ²

⇒We have a polynomial of second degree that has the standard from ax²+bx+c

⇒Rearrange the terms of the polynomial to match the standard form

- 7x ² -x +10

Answer:

Slope = 4

Step-by-step explanation:

The slope of a line can be calculated using the following formula:

\( \frac{y2 - y1}{x2 - x1} \)

From the question can put the points as:

(2, -5) as (x1, y1)

and

(4, 3) as (x2, y2)

Therefore, we can put in the values into the formula to solve for the slope.

\( \frac{3 - ( - 5)}{4 - 2} \\ = \frac{3 + 5}{2} \\ = \frac{8}{2} \\ = 4\)

Answer:

Step-by-step explanation:

The length of the arc is proportional to the central angle.

The circumference of the circle is given by ...

  C = 2πr

  C = 2π(8 in) = 16π in ≈ 50.265 in

The 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.

 short arc = (1/6)(16π in) ≈ 8.38 in

The remaining portion of the circle is 5/6 of the total circumference, so is ...

  long arc = (5/6)(16π in) ≈ 41.89 in

__

Additional comment

If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."

Answer: d^9

Step-by-step explanation: i dunno it is what it is

Answer:

d

Step-by-step explanation:

If two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.

What is the meaning of congruent triangles?

If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.

congruent if they are copies of each other. We can prove that two triangles are congruent if they satisfy any one of the following criteria:-

SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.

SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.

ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.

AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.

RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.

Hence, when two angles and an included side of one triangle are equal to the corresponding pieces of another triangle then the two triangles are congruent.

Read more about Congruent Triangles at https://brainly.com/question/28914794
#SPJ4

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Answer:

is it c??

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity

We have to write an equation with an absolute value that will give the same answer for x=8 and x=14.

We can write a generic equation with a parameter and then find its value:

Then:

One of the two arguments, "8-a" or "14-a", has to be negative and the other positive. It must be "8-a" because if "14-a" were negative, then "8-a" would be also negative and there is no value of a that can make the two terms equal.

Then, we can rewrite the equality as:

we then can solve for "a" as:

Note that x=11 is the midpoint between x=8 and x=14.

Answer:

The absolute value function that gives the same value for x=8 and x=14 is f(x) = |x-11|

The equation -6 = 0 is not true, which means that there is no solution to the equation 9t+6 in standard form. This is because we cannot write the equation in the form \(ax + by = c\)  , since there is no value of c that would satisfy the equation.

To write 9t+6 in standard form, we need to rearrange the expression to have the variables first, followed by the constant term. The standard form of a linear equation is:

\(ax + by = c\)

where a, b, and c are constants, and x and y are variables.

To rearrange 9t+6, we first need to group the t term and the constant term together. We can do this by adding 0t to the expression:

\(9t + 0t + 6\)

Now, we can rearrange the terms so that the variable term comes first:

\(9t + 0t = 9t\)

Finally, we can write the expression in the standard form:

\(9t + 0t = 9t + 6\)

This can be simplified further by removing the 0t term:

\(9t = 9t + 6\)

We can now move the constant term to the other side of the equation by subtracting 6 from both sides:

\(9t - 6 = 9t + 6 - 6\)

\(9t - 6 = 9t\)

\(-6 = 0\)

Therefore, The equation  \(-6 = 0\) is not true, which means that there is no solution to the equation   \(9t+6\) in standard form. This is because we cannot write the equation in the form  \(ax + by = c\)  , since there is no value of c that would satisfy the equation.

Learn more about variables here:

https://brainly.com/question/15740935

#SPJ1

Answer:

the answer is B y=-6x+C÷B

Answer:

B or the second one

Step-by-step explanation:

The way I did it, I got  \(\frac{C-6x}{B}\).

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

For more such questions on function, click on:

https://brainly.com/question/11624077

#SPJ8

After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

To learn more about Pythagorean theorem

https://brainly.com/question/28981380

#SPJ1

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:490pi

Step-by-step explanation:just trust me

The volume of the given figure is required.

The required volume is 490π cm³

r = Radius of semicircle = 7 cm

h = Height of prism = 20 cm

The volume of a cylinder is

\(\pi r^2h\)

The volume of the given shape will be half of a cylinder, so

\(V=\dfrac{1}{2}\pi r^2h\\\Rightarrow V=\dfrac{1}{2}\pi\times 7^2\times 20\\\Rightarrow V=490\pi\ \text{cm}^3\)

Learn more about volume:

https://brainly.com/question/23935577

Since you have two sets of side lengths that are in the same ratio, you need the included angles. The included angle of two sides is the angle formed by the two sides. ∠N ≅ ∠Z

Two triangles are said to be comparable if the two sides of one are in proportion to the two sides of another triangle and the angles that the two sides inscribe in each triangle are equal.

Hence, if you align both triangles' equations, option A A. ∠N ≅ ∠Z is the answer.

Read more about SAS similarity theorem here:

https://brainly.com/question/22472034

#SPJ1

Answer:

The common denominator is 8

Step-by-step explanation:

It depends on what you mean. The denominator is 8 in both of the fractions that is being added together

The value of m<XYW and m<XYZ in the given kite (quadrilateral) is 48.36 degrees and 131.64 degrees.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

If a polygon is four sided (a quadrilateral), the sum of its angles is 360°

we know that;

XY and WZ are equal in length, and XW and YZ are also equal in length. Additionally, we are given that XY = ZY.

Now, to find X, we can use the fact that the angles in a quadrilateral add up to 360 degrees. Therefore, we have:

Angle W + Angle XWY + Angle XYW + Angle ZWY = 360 degrees

Substituting the given values, we get:

90 + 10x + 3x + 12 + 4x + 18 = 360

Simplifying the equation, we get:

17x + 120 = 360

17x = 240

x = 14.12 (rounded to two decimal places)

Therefore, X is approximately 14.12.

To find m<XYW, we can use the given value:

m<XYW = 3x + 12 = 3(14.12) + 12 = 48.36 degrees (rounded to two decimal places)

To find m<XYZ, we can use the fact that opposite angles in a kite are equal. Therefore, we have:

m<XYZ = m<YWZ

Since XY = ZY, we know that m<XYW = m<ZYW. Therefore, we have:

m<YZW = 180 - m<XYW = 180 - 48.36 = 131.64 degrees (rounded to two decimal places)

Using the fact that opposite angles in a kite are equal, we have:

m<XYZ = m<YWZ = m<YZW = 131.64 degrees (rounded to two decimal places)

Therefore, by the given measurements of quadrilateral m<XYZ will be  131.64 degrees.

Learn more about quadrilaterals here:

https://brainly.com/question/1365755

#SPJ1

Answer:

Given : A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC  is equal to the measure of the exterior angle

The base of the triangle extends into a straight line.

The angle formed between this straight line and the edge of the triangle is marked as p.

The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)  Step 2:  m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p

Step 4: So, m∠m + m∠n = m∠p

To Find : In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

Solution :

student first make a mistake in 1st step.

Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)

∠p is the exterior angle   he used ∠p instead of  ∠o

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)

Step 2:  m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p

Step 4: So, m∠m + m∠n = m∠p

Step-by-step explanation:

Answer:

the answer is 45 I believe because it is the same exact as j

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

Read more about Partial Differential Equations at: https://brainly.com/question/28099315

#SPJ1

Answer:

$46.47

Step-by-step explanation:

add all and divide by 3

Answer:

$406.66

Step-by-step explanation:

460+445+315= 1,220

1,220÷3= 406.66