An item was bought for £200. It was sold for £80. What was the percentage loss?
I need the answer ASAP pls

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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If there is no cross traffic after the vehicles ahead have passed through the intersection, you may proceed through the intersection after coming to a complete stop at the stop sign and yielding to any pedestrians or vehicles that have the right of way. It is important to always be aware of your surroundings and follow traffic laws to ensure safety for yourself and others on the road.
Hi, I'm happy to help with your question. You asked: If you are stopped in a line of vehicles waiting at a stop sign and there is no cross traffic after the vehicles ahead have passed through the intersection, what should you do?

In this situation, you should:
1. Remain stopped behind the stop sign and the vehicle in front of you.
2. Wait for the vehicle ahead of you to clear the intersection completely.
3. Check for any cross traffic or pedestrians, even if there appears to be none.
4. Proceed through the intersection only when it is safe and clear to do so.

Remember, it is essential to follow traffic rules and prioritize safety at all times while driving.

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One effect of chunking is to increase the amount of material that can be held in working memory (option d).

Chunking is a cognitive process that involves organizing and grouping information into meaningful units or "chunks." By grouping individual elements together, such as numbers, letters, or words, into larger chunks, the capacity of working memory can be effectively utilized.

This allows for the storage and processing of more information simultaneously, enhancing the overall cognitive capacity. Chunking helps overcome the limited capacity of working memory by reducing cognitive load and making information more manageable.

It facilitates the organization and retrieval of information, improving memory performance and the ability to process and retain complex information more efficiently. Thus, the primary effect of chunking is to increase the amount of material that can be held in working memory.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

To make a 300 mL buffer solution with a pH of 3.5, the mass of NaF required is 7.17 grams.

The buffer solution is created by mixing HF with NaF. The two ions, F- and H+, react to create HF, which is the acidic component of the buffer. The pKa is used to determine the ratio of the conjugate base to the conjugate acid in the solution. Let us calculate the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5.

To calculate the mass of NaF, we need to know the number of moles of NaF needed in the solution. We can calculate this by first determining the number of moles of HF and F- in the buffer solution. Here's the step-by-step solution:

Step 1: Calculate the number of moles of HF needed: Use the Henderson-Hasselbalch equation to calculate the number of moles of HF needed to create a buffer with a pH of 3.5.pH

\(= pKa + log ([A-]/[HA])3.5\)

\(= -log(7.2*10^{-4}) + log ([F-]/[HF])[F-]/[HF]\)

= 3.16M/0.1M = 31.6mol/L.

Since we know that the volume of the buffer is 0.3L, we can use this value to calculate the number of moles of HF needed. n(HF) = C x Vn(HF) = 0.1M x 0.3Ln(HF) = 0.03 moles

Step 2: Calculate the number of moles of F- needed: The ratio of the concentration of F- to the concentration of HF is 31.6, so the concentration of F- can be calculated as follows: 31.6 x 0.1M = 3.16M. The number of moles of F- needed can be calculated using the following formula: n(F-) = C x Vn(F-) = 3.16M x 0.3Ln(F-) = 0.95 moles

Step 3: Calculate the mass of NaF needed: Now that we know the number of moles of F- needed, we can calculate the mass of NaF required using the following formula:

mass = moles x molar mass

mass = 0.95 moles x (23.0 g/mol + 19.0 g/mol)

mass = 7.17 g

So, the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5 is 7.17 grams. Therefore, the correct answer is 7.17g NaF.

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The correct question would be as

Calculate the mass of NaF in grams that must be dissolved in a 0.25M HF solution to form a 300 mL buffer solution with a pH of 3.5. (Ka for HF= 7.2X10^(-4))

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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The distance in the standard (x, y) coordinate plane between the given points (1, 0) and ( 0, 5) is equal to √26 units.

As given in the question,

In the coordinate plane :

The distance in the standard (x, y) coordinate plane is:

Distance between the given points (x₁ , y₁) = (1, 0) and (x₂ , y₂) = (0,5) is given by :

Standard distance formula :

d = √ ( x₂ - x₁)² + (y₂ - y₁)²

  = √ ( 0 -1)² + (5-0)²

  = √1 + 25

  = √26 units

Therefore, The distance in the standard (x, y) coordinate plane between the given points (1, 0) and ( 0, 5) is equal to √26 units.

The complete question is :

What is the distance in the standard (x, y) coordinate plane between the points (1,0) and (0,5)?

a. 4      b. 6                c. 16           d. 36          e. √26

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Answer:

I think 50

Step-by-step explanation:

Answer:

470 inches

Step-by-step explanation:

p = 2l + 2w

p = 2*145 + 2*90

p = 290 + 180

p = 470

The equation of the line that passes through (-5,0) and is parallel to the line y = -2/3x - 1 is y = - 2 / 3 x - 10 / 3

The equation of a line can be represented in different form such as point slope form, slope intercept form, standard form and general form.

The equation of a line in slope intercept form is as follow:

y = mx + b

where

Therefore, the equation of the line passes through (-5,0) and is parallel to the line y = -2/3x - 1.

Parallel line has the same slope.

Therefore, the slope of the line is - 2 / 3.

Hence, let's find the y-intercept using (-5, 0)

0 = - 2 / 3(-5) + b

b = - 10 / 3

Therefore, the equation is y = - 2 / 3 x - 10 / 3

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The new points after the translation are (0, -4), (0, 0), (5, -5) and (5, 0) and the image is added as attachment

Translation is the movement of a point either up, left, right or down on the coordinate plane.

If a point A(x, y) is translated a units left and b units down, the new point is A'(x - a, y - b)

From the question, the vertices of the rectangle are (2, 3), (2, 7), (7, 2) and (7, 7).

The translation T<-2, -7>; is a translation of 2 units left and 7 units down.

This means that

The new points are (0, -4), (0, 0), (5, -5) and (5, 0).

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Answer:

The daily cost is $99.39.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:

$298.17/3=$99.39

According to this, the answer is that the daily cost is $99.39.

We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

A 3x3 matrix for which the kernel is the set of all vectors \underset{x}{\rightarrow}∈ R3 satisfying 3x1 + 2x2 + x3 = 0 is

|1  2  3|

|4  5  6|

|7  8  9|

This matrix has a kernel consisting of all vectors \underset{x}{\rightarrow}= (x1,x2,x3) that satisfy the equation 3x1 + 2x2 + x3 = 0.

We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

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=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

The maximum value of the profit objective function from the constraints is 72

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

Objective function: P = 12x + 3y

Subject to:

2x - y ≤ 6

x + y ≥ 4

-x + 2y ≤ 3

x ≥ 0 and y ≥ 0

Next, we plot the graph of the constraints

This is also given

From the graph, we have the following coordinates

(1.67, 2.33), (5, 4), (3.33, 0.67)

So, we have

P = 12(1.67) + 3(3.33) = 30.03

P = 12(5) + 3(4) = 72

P = 12(3.33) + 3(0.67) = 41.97

The highest value is 72

Hence, the maximum value of the profit objective function from the constraints is 72

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Answer:

(5, 8.66)

Step-by-step explanation:

Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.

At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:

θ = 60°

\(tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)\)

Since the minute hand is 10 inches long, hence:

\(\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5\)

To find y, substitute x = 5:

y = 1.732(5) = 8.66

This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)

To determine the revealed preference between bundles A, B, and C, we need to compare the choices made by Betty under different price conditions.  1. When prices are ($2, $4, $1), Betty chooses bundle C over bundle A. This implies that C is directly revealed preferred to A at these prices.

2. When prices are ($5, $3, $3), Betty chooses bundle A over bundle B. This implies that A is directly revealed preferred to B at these prices.

3. When prices are ($3, $1, $4), Betty chooses bundle B over bundle C. This implies that B is directly revealed preferred to C at these prices. Based on these comparisons, we can conclude the following: - Bundle C is directly revealed preferred to bundle A. - Bundle A is directly revealed preferred to bundle B. - Bundle B is directly revealed preferred to bundle C. There are no cases of indirect revealed preference, where one bundle is preferred to another through a series of choices. Therefore, each pair of bundles has a clear ordering of direct revealed preference. Bundle C is directly preferred to A, A is directly preferred to B, and B is directly preferred to C.

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As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Answer:

bro its ur math caps do it urself

Step-by-step explanation:

Answer:

the answer is a=12 and b=13

Step-by-step explanation:

Im not giving u the explanation u should have listened in ms Aya's class.

Answer: 11.31

Step-by-step explanation:

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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The percentage decrease is 7.14%

First measurement = 7 feet

Second measurement = 6.5 feet

Difference in measurement = 7 feet - 6.5 feet = 0.5 feet

Percentage decrease = Difference in measurement/ First measurement × 100

= (0.5/7.0) × 100

= 7.14%

The percentage decrease is 7.14%

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The solution to the boundary value problem y′′ − 6y′ + 9y = 0, with y(0) = 1 and y(1) = 3, is y(x) = \(e^{(3x)}\). However, this solution does not satisfy the second boundary condition, so there is no solution to the problem.

Boundary value problems involve finding the solution to a differential equation that satisfies given conditions at multiple points. In this problem, we need to solve the boundary value problem for the differential equation y′′ − 6y′ + 9y = 0, with the conditions y(0) = 1 and y(1) = 3.

To solve this problem, we can assume that the solution to the differential equation is in the form \(y(x) = e^{(mx)}\), where m is a constant to be determined. Taking the derivatives, we find that

\(y′(x) = me^{(mx)}\) and

y′′(x) =\(m^2e^{(mx)}\)

Substituting these derivatives into the differential equation, we get

\(m^2e^{(mx)} - 6me^{(mx)} + 9e^{(mx)} = 0\)

Factoring out \(e^{(mx)}\), we have

\((m^2-6m + 9)e^{(mx)} = 0\).

For the equation to hold true for all x, the coefficient of \(e^{(mx)}\) must be zero. Therefore, we solve

\(m^2-6m + 9 = 0\)

for m. Factoring the quadratic, we get

\((m-3)^2\) = 0,

so m = 3.

Thus, the answer is y(x) = \(e^{(3x)}\).

To find the specific solution that satisfies the boundary conditions, we substitute the values of x into the equation. F

or y(0) = 1, we have

y(0) = \(e^{(3*0)}\)

= 1,

which is satisfied. For y(1) = 3, we have

y(1) = \(e^{(3*1)}\)

= \(e^3\)

≈ 20.0855,

which is not equal to 3.

Therefore, there is no solution to the given boundary value problem. This implies that the conditions y(0) = 1 and y(1) = 3 cannot be satisfied simultaneously for the given differential equation.


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Answer:

$16.47

Step-by-step explanation:

125×18=2250

these are the pages printed

2250÷500=4.5

these are the reams of paper needed

$3.66 ×4.5=$16.47

this is the money needed

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

y = -1/4x -1

Step-by-step explanation:

Mathematically, we have the slope intercept form as;

y = mx + b

where m is the slope and b is the y-intercept

from the question;

m is -1/4

So we have :

y = -1/4x + b

To get the value of b, we substitute the coordinates given and solve for b

Firstly, multiply through by 4

That will

give ;

4y = -x + 4b

4(-4) = -12 + 4b

-16 = -12 + 4b

-16 + 12 = 4b

4b = -4

b = -4/4

b = -1

So the equation in the slope intercept form is;

y = -1/4x -1

The minimum sample size needed is 93.

Given:

A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%.

here

n = 101

p = 0.5

e = 5%=0.05

z score at 95% = 1.96

\(n'=\frac{n}{1+\frac{z^2*p(1-p)}{e^2} }\)

On submitting and solving using calculator

n = 93

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