simplyfly
x+3/x-5 - x+5/x-3​

Answer:

See below.

Step-by-step explanation:

4 packages of ribbon: \(0.80\)

\(0.80*4=3.2\)

2 rolls of wrapping paper: \(4\)

\(4*2=8\)

Scissors: \(12\)

Add them all together and it will be $\(23.2\).

If the sales tax is 8%, divide the percentage to find the decimal form.

\(\frac{8}{100} =0.08\)

Multiply the percentage by the added total.

\(23.2 *0.08=1.856\)

Round it up and it will be \(1.86\)

Add the percentage and total together.

\(23.2+1.86=25.06\)

Answer: \(25.06\)

:)

Answer:

n < -9

Step-by-step explanation:

Answer:

n < -9

Step-by-step explanation:

2n +6 < - 12

2n < -18

n < -9

Answer:

P(A|B) = 0.5

Step-by-step explanation:

A: set of prime numbers ={1,2,3}

B: set of divisors of 3 ={1,3}

P(A)=P(1)+P(2)+P(3)= 0.1+0.1+0.3 =0.5

P(B)=P(1)+P(3)=0.1+0.3=0.4

P(A|B) means: probability of A knowing that B

In other words we have to find the probability that a prime outcome occurs knowing that it is a divisor of 3

Its formula is given by:

P(A|B) = P(AintersectionB) /P(B)

A intersection B: outcome is prime and a divisor of 3 at the same time. (common elements between sets A and B)

A int B= {1,3}

P(AintB)= P(A)xP(B) = 0.5x0.4=0.2

Now back to the formula:

P(A|B) =P(AintB) / P(B)

=0.2/0.4=0.5

HOPE THIS HELPS :)

The Answer is: 64 degrees

Answer:

64

Step-by-step explanation:

Just confirming this is the answer for edge 2021

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

212.6 units²

Step-by-step explanation:

Area of the figure = area of rectangle + area of semicircle

✔️Area of rectangle = length * width

Length = 13

Width = 6*2 = 12

Area of rectangle = 156 units²

✔️Area of semicircle = ½(πr²)

r = 6

Area of semicircle = ½(π*6²) = ½(π*36) = 56.55 units²

✔️Area of the figure = 156 + 56.55 = 212.55 ≈ 212.6 units² (to nearest tenth)

Answer:

A

Step-by-step explanation:

5/(1-√3)=5*(1+√3)/(1-√3)(1+√3)= (5+5√3)/(1-3)=  -(5+5√3)/2

Choice A is correct one

Answer: A

Step-by-step explanation:

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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Answer:

it is 2550

Step-by-step explanation:

even numbers are number that can be divided by 2

The correct answer is Option D i.e;  It would depreciate to E2

Given that,

Please see Figure 13-2.  The economy was originally in equilibrium at r0 and E0

To find : What would happen to the exchange rate if import quotas were eliminated by the government ?

Economic forces must be in balance for there to be economic equilibrium. Economic variables essentially hold true to their equilibrium values in the absence of outside influences. Market equilibrium is another name for economic equilibrium.

Therefore, the correct answer is Option D i.e;  It would depreciate to E2

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The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:

$230 dollars per hours

Step-by-step explanation:

1) Just divide 920 with 4

You will get 230.

Hope this helps!

x = 16

7 times 2 = 14

8 times 2 = 16

Hope that helped:)

Answer:

518 square centimeters

Step-by-step explanation:

A = 17 x 22 + (19 x 12)/2

A = 374 + 228 / 2

A = 374 + 144

A = 518

Hope that helps!

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer:

500

Step-By-Step Explanation:

200/50 = 4

4 * 17 = 68

68 / 2 = 34

34 x 5 = 170

170 / 17 = 10

10 x 50 = 500

Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches

For the given function, it is found that:

The extreme points of a function happen at the values for x for which the first derivative is zero, that is:

y' = 0.

In this problem, the function is:

y = x³ - 6x² + 9x.

Hence the first derivative is:

3x² - 12x + 9.

The extreme values of x are:

3x² - 12x + 9 = 0.

3(x² - 4x + 3) = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0.

Then:

The numeric value of the function at these points is:

Hence the points are:

(3,3) and (1,7).

The extreme points of a function happen at the values for x for which the second derivative is zero, that is:

y'' = 0.

For this problem, the second derivative is given by:

y'' = 6x - 12.

Hence the x-coordinate of the inflection point is:

6x - 12 = 0

6x = 12

x = 2.

The numeric value at x = 2 is:

2³ - 6(2)² + 9(2) + 3 = 5.

Then the inflection point is:

(2,5).

The graph with these points labeled is given at the end of the answer.

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Step-by-step explanation:

j. seems to be challenging

Answer:

2(3x+4)=P(perimeter)

Step-by-step explanation:

what I did was:

Answer:

I think its false

Step-by-step explanation:

Answer: True i think

Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.

Answer:

10, 11, 12

Step-by-step explanation:

simplify the inequlity:

=> 4x > 36

=> x > 9

x = 10, 11, 12...

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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