NO LINKS!! URGENT HELP PLEASE!!

Which best describes the figure with vertices A(-4, 1), B(1, 4), C(6, -1), and D(1, -4)?
a. square
b. parallelogram
c. triangle
d. trapezoid
e. kite

Answers

Answer 1

Answer:

b. parallelogram

Step-by-step explanation:

The figure cannot be square because a square has four congruent sides and four right angles, and this figure does not have either of those properties.

The figure cannot be a triangle because a triangle has only three vertices, and this figure has four vertices.

The figure cannot be a trapezoid because a trapezoid has at least one pair of parallel sides, and it is not clear from the given information whether any of the sides are parallel.

The figure could be a parallelogram, which is a quadrilateral with opposite sides parallel. To determine whether this is the case, we can check whether the slopes of opposite sides are equal. Here are the slopes of the sides:

AB: (4-1)/(1-(-4)) = 3/5

BC: (-1-4)/(6-1) = -5/5 = -1

CD: (-4-(-1))/(1-6) = 3/5

DA: (1-(-4))/(-4-1) = -5/5 = -1

We can see that the slopes of opposite sides AB and CD are equal, and the slopes of opposite sides BC and DA are equal. Therefore, the figure is a parallelogram.

The figure cannot be a kite because a kite is a quadrilateral with two pairs of adjacent congruent sides, and this figure does not have that property.

So the answer is: b. parallelogram.


Related Questions

The value of y is directly proportional to x. If x = 25 when y = 110, what is the value of y when x = 40?

Answers

Answer:

176

Step-by-step explanation:

To do this question, we can simplify it even further.

If x=25 when y=110, it is in the ratio 25:110.

If we divide by five on both sides, the ratio becomes:

5:22.

Then, if we multiply by eight on both sides,

it becomes 40:22x8 which means y is equal to 176.

5. Patty starts at the bottom of a Ferris wheel with a radius of 8 m. The Ferris wheel rotates so Patty is now at the top. Arlene is on a merry-go-round with a radius of 6 m. The merry-go-round moves two- thirds of the way around its axle. Who travels farther? How much farther to the nearest tenth of a metre ?​

Answers

Answer is down below!

Step-by-step explanation:

This is of the form h = a + b cos ct, where: a = 40 m. This is the height of the axle of the Ferris wheel. b = -30 m. The magnitude of this number is the radius of the wheel.

Can anybody please help me with this. Quick
For each answer just type

1.
2.
3.

Answers

1. n - 4 = 12

2. n - 13 = 20

3. n + 9 = 25

4. n + 5 = 75

5. x + 6 = 13

6. n - 6 = 5

For 1 n = 16

For 2 n = 33

For 3 n = 16

For 4 n = 70

For 5 x = 7

For 6 n = 11

Hope that helps, :).

Select the values that make the inequality v ≥ 3 true.
(Numbers written in order from least to greatest going across.)

Answers

Answer:

The inequality v ≥ 3 can be satisfied by any number greater than or equal to 3, such as 4, 5, 6.7 etc. The smallest value that will make the inequality true is 3 itself. As long as the number chosen for v is greater than or equal to three then it will satisfy the given equation and make it true.

Step-by-step explanation:

The values that make the inequality v ≥ -3 make true are -3, -2.99, -2.9, and 0.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the inequality v ≥ -3.

Here the inequality shows that the value is equal to greater than -3.

1. -11 < -3.

2. -8 < -3

3. -6 < -3

4. -4< -3

5. -3.1< 3

6. -3.01 < -3

7. -3.001 < -3

8. -3 = -3

9. -2.999 > -3

10. -2.99 > -3

11. -2.9 > -3

12. 0 > -3

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*HELP!!* MULTIPLE CHOICE!!
Consider the graph of the function f(x)=log2 x, what are the features of function g if g(x)=-f(x)-1

Answers

The features of function g if g(x) = -f(x)-1 include the following:

B. domain of (0, ∞).

C. vertical asymptote of x = 0.

D. x-intercept at (1/2, 0).

What is a domain?

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following key features:

Domain = (0, ∞)

Range = (-∞, ∞).

vertical asymptote, x = 0.

x-intercept = (1/2, 0).

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Which of the following sets of numbers could represent the three sides of a triangle O (6,8,14} O {11, 14, 22} O {13, 20, 34) O {13, 20, 35} ​

Answers

The set of numbers that can represent the sides of a triangle are:

{11, 14, 22} and {13, 20, 35}.

How to Determine the Set of Numbers that Can Represent the Sides of a Triangle?

We can determine which set of numbers would represent the sides of a triangle by applying the triangle inequality theorem.

This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side to make it a triangle.

Applying the theorem, we have:

A. (6,8,14)

6 + 8 > 14 (not true, since 6 + 8 = 14 and not greater than 14)

6 + 14 > 8 (true)

8 + 14 > 6 (true)

Therefore, (6,8,14) cannot represent the sides of a triangle.

B. {11, 14, 22}

11 + 14 > 22 (not true, since 11 + 14 = 25 and not less than 22)

11 + 22 > 14 (true)

14 + 22 > 11 (true)

Therefore, {11, 14, 22} does not represent the sides of a triangle.

C. {13, 20, 34}

13 + 20 > 34 (not true, since 13 + 20 = 33 and not greater than 34)

13 + 34 > 20 (true)

20 + 34 > 13 (true)

Thus, {13, 20, 34} cannot represent the sides of a triangle.

D. {13, 20, 35}

13 + 20 > 35 (not true, since 13 + 20 = 33 and not less than 35)

13 + 35 > 20 (true)

20 + 35 > 13 (true)

This means, {13, 20, 35} can represent the sides of a triangle.

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Which equation can pair with x - y = -2 to create a consistent and dependent system?
6x + 2y = 15
O-3x + 3y = 6
O-8x-3y = 2
O4x - 4y = 6

Answers

To create a consistent and dependent system with the equation x - y = -2, we need to find another equation that has the same solution as this equation.

We can manipulate the equation x - y = -2 to get y = x + 2.

Which equation can pair with x - y = -2 to create a consistent and dependent system?

Now, we can substitute y = x + 2 into each of the given equations to see which one creates a dependent system:

6x + 2y = 15 becomes 6x + 2(x + 2) = 15, which simplifies to 8x = 11. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

-3x + 3y = 6 becomes -3x + 3(x + 2) = 6, which simplifies to 0 = 0. This equation has infinitely many solutions and pairs with x - y = -2 to create a dependent system.

-8x - 3y = 2 becomes -8x - 3(x + 2) = 2, which simplifies to -11x = -8. This equation has a unique solution, so it does not pair with x - y = -2 to create a dependent system.

4x - 4y = 6 becomes 4x - 4(x + 2) = 6, which simplifies to -4 = 6. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

Therefore, the equation -3x + 3y = 6 can pair with x - y = -2 to create a consistent and dependent system.

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Compare and contrast the primary differences between the Job costing and
Process costing by completing the following table:

Job Costing Process Costing
Most suitable manufacturing environment
Cost object used for accumulating costs
Primary document for tracking costs
Manufacturing cost categories
Flow of costs through accounts

Answers

We can compare and contrast the primary differences between the Job costing and Process costing processes as follows:

Job costing process:

Most suitable manufacturing environmentManufacturing cost categoriesPrimary document for tracking costs

Process costing:

Cost object used for accumulating costsFlow of costs through accountsHow to classify the cost types

We can classify the cost types by understanding their usage in the accounting industry. Process costing is used for calculating the costs for mass-produced materials while job costing is used for calculating the cost for customized products.

Process costing is used for accumulating costs and to ascertain the flow of costs through accounts. Job costing is the main document for tracking costs.

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A particle moves in the xy plane so that at any time
,
x=3sint

and
.y=t-4cost+1

What is the vertical component of the particle's location when it's horizontal component is 2?
Responses

y = -1.05
y = -1.05

y = -2.25
y = -2.25

y = -1.25
y = -1.25

y = 0.73

Answers

The vertical component of the particle's location, when its horizontal component is 2, is:

y = -1.25

How to solve

To find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.

Given the equation:

x = 3sin(t)

Substitute x with 2:

2 = 3sin(t)

Now, isolate t by dividing both sides by 3:

sin(t) = 2/3

Take the inverse sine (arcsin) of both sides:

t = arcsin(2/3)

Now, plug the value of t back into the y equation:

y = t - 4cos(t) + 1

y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1

Using a calculator to find the approximate value of y, we get:

y ≈ -1.25

Therefore, the vertical component of the particle's location when its horizontal component is 2 is:

y = -1.25

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I’m in 4th period and it’s almost over with in 3 minutes please help!!
-3x-24 ≤-36

Answers

Answer:

-3x - 24 < -36

-3x < -12

x > 4

Hannon Company makes swimsuits and sells these suits directly to retailers. Although
Hannon has a variety of suits, it does not make the All-Body suit used by highly skilled
swimmers. The market research department believes that a strong market exists for thistype of suit. The department indicates that the All-Body suit would sell for approximately $100. Given its experience, Hannon believes the All-Body suit would have the following manufacturing costs
Direct materials $ 25
Direct labor 30
Manufacturing overhead 45
Total costs $100
Instructions
(a) Assume that Hannon uses cost-plus pricing, setting the selling price 20% above its
costs. (1) What would be the price charged for the All-Body swimsuit? (2) Under what
circumstances might Hannon consider manufacturing the All-Body swimsuit given this approach?
(b) Assume that Hannon uses target costing. What is the price that Hannon would charge the retailer for the All-Body swimsuit?
(c) What is the highest acceptable manufacturing cost Hannon would be willing to incur to produce the All-Body swimsuit, if it desired a profit of $20 per unit? (Assume target costing.)

Answers

Hannon's maximum allowable production cost for the All-Body swimsuit is $80 if it wants to make a profit of $20 per unit.

Given data ,

a)

Using cost-plus pricing, the selling price is set 20% above the costs.

Selling price=Costs+(Costs x Markup)

Selling price=$100 + ($100x0.20)

Selling price=$100+$20

On simplifying the equation , we get

Selling price=$120

The price charged for the All-Body swimsuit would be$120.

Hannon might consider manufacturing the All-Body swimsuit under the cost-plus pricing approach if the market demand is strong enough to justify the selling price of $120 and if Hannon can efficiently produce and sell the swimsuit to generate profits.

(b)

Using target costing, the price charged by Hannon to the retailer is determined by subtracting the desired profit per unit from the target selling price.

Target selling price=$100 (given)

Desired profit per unit=$20 (given)

Price charged to retailer=Target selling price - Desired profit per unit

Price charged to retailer=$100-$20

On simplifying the equation , we get

Price charged to retailer=$80

The price that Hannon would charge the retailer for the All-Body swimsuit under target costing is$80.

(c)

To determine the highest acceptable manufacturing cost for the All-Body swimsuit under target costing, we subtract the desired profit per unit from the target selling price.

Target selling price=$100 (given)

Desired profit per unit=$20 (given)

Highest acceptable manufacturing cost=Target selling price-Desired profit per unit

Highest acceptable manufacturing cost=$100-$20

Highest acceptable manufacturing cost=$80

Hannon would be ready to spend up to $80 in manufacturing costs to develop the All-Body swimsuit if it wanted to make $20 each unit.

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An architect creates a blueprint using a scale of 1 inch = 3.5 ft. If the actual
length of a patio is 21 feet, how long will the patio's length appear in the
blueprint?
O 6 inches
O 7 inches
O 17.5 inches
O 73.5 inches

Answers

6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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Use a net to find the surface area of the prism.
A. 426 m2

B. 213 m2

C. 306 m2

D. 336 m2

Answers

The surface area of the prism is 426 m²

What is surface area of cuboid?

A cuboid is a rectangular prism. And has all the properties related to a prism. The general formula for the surface area of a cuboid is ;

SA = 2B + ph

We can use net formula to find the surface area of a cuboid.

surface area of a cuboid is expressed as;

SA = 2( lb+lh +bh)

l = 12m , b = 5m and h = 9m

lb = 12×5 = 60m²

lh = 12 × 9 = 108m²

bh = 5×9 = 45m²

SA = 2(60+108+45)

= 2(213)

= 426 m²

therefore the surface area of the cuboid is 426m²

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Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3

Answers

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

Explain about the shape of cylinder:

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ft

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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The ratio of apples to pears at a farm stand is 5:3. What is the percentage of the fruit to apples?

Answers

The ratio of apples to pears at the farm stand is 5:3. To calculate the percentage of the fruit that is apples, we need to find the total number of parts in the ratio, which is 5 + 3 = 8.

Then, we can calculate the fraction of the fruit that is apples by dividing the number of apple parts by the total number of parts:

5 parts apples / 8 total parts = 0.625

To convert the fraction to a percentage, we can multiply by 100:

0.625 * 100 = 62.5%

Therefore, the percentage of the fruit that is apples is 62.5%.

A force of 350 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 10 centimeters to 40 centimeters?

Answers

The work done in stretching the spring from 10 cm to 40 cm is 10,837.5 J.

The work done in stretching a spring is given by the formula:

W = (1/2)k[tex]x^{2}[/tex]

where W is the work done, k is the spring constant, and x is the displacement of the spring from its original position.

To find the spring constant k, we can use the given information:

F = kx

where F is the force applied to the spring. Rearranging this equation, we get:

k = F/x

Substituting the given values, we get:

k = 350 N / 30 cm = 11.67 N/cm

Now, we can find the work done in stretching the spring from 10 cm to 40 cm:

W = (1/2)k([tex](x_{2})^{2} -(x_{1} )^{2}[/tex])

where [tex]x_{1}[/tex] is the initial displacement of the spring (10 cm) and [tex]x_{2}[/tex] is the final displacement (40 cm).

Substituting the values, we get:

W = (1/2) * 11.67 N/cm * ([tex](40 cm)^{2} - (10 cm)^{2}[/tex])

W = (1/2) * 11.67 N/cm * (1600  [tex]cm^{2}[/tex] - 100  [tex]cm^{2}[/tex])

W = (1/2) * 11.67 N/cm * 1500 [tex]cm^{2}[/tex]

W = 10,837.5 joules (J)

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For each polynomial function, (a) list all possible rational zeros, (b) use a graph to eliminate some of the possible zeros listed in part (a), (c) find all rational zer…
For each polynomial function, (a) list all possible rational zeros, (b) use a graph to eliminate some of the possible zeros listed in part (a), (c) find all rational zeros, and (d) factor P(x). P(X)=x^3-2x^2-13x-10

Answers

Answer:

  (a) ±{1, 2, 5, 10}

  (b) attached

  (c) {-2, -1, 5}

  (d) P(x) = (x +2)(x +1)(x -5)

Step-by-step explanation:

You want the possible and actual rational zeros for P(x) = x^3-2x^2-13x-10, and the factored form of the polynomial.

(a) Rational zeros

The rational root theorem tells you the possible rational zeros of a polynomial will be of the form ...

  ±(divisor of the constant)/(divisor of the leading coefficient)

The leading coefficient is 1, and the divisors of the constant are {1, 2, 5, 10}, so the possible rational zeros are ...

  {±1, ±2, ±5, ±10}

(b, c) Actual zeros

The attached graph shows the actual zeros of P(x) to be {-2, -1, 5}.

(d) Factors

Each zero q corresponds to a factor (x -q). The factored form of the polynomial is ...

  P(x) = (x +2)(x +1)(x -5)

and area of the original figure to
of the reduced figure using the
3
6
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle.
The area of the reduced figure is half the area of
the original figure.
The area of the reduced figure is
area of the original figure.
(94
times the

Answers

The scale factοr is οne-half. The perimeter οf the mοdel is the prοduct οf the scale factοr and the perimeter οf the οriginal rectangle. The area οf the reduced figure is (1/2)² = 1/4 times the area οf the οriginal figure

What is the scale factοr?

The ratiο between cοmparable measurements οf an οbject and a representatiοn οf that οbject is knοwn as a scale factοr in mathematics.

Here,

We have tο cοmpare the perimeter and area οf the οriginal figure tο the perimeter and area οf the reduced figure using the scale factοr.

The ratiο οf the length οf the οriginal rectangle tο that οf the reduced rectangle is 6 tο 3 οr a factοr οf 1/2.

The ratiο οf the width οf the οriginal rectangle tο that οf the reduced rectangle is 2 tο 1, οr, again, a factοr οf 1/2. Sο, because this ratiο οf 1/2 is cοnstant, we knοw the tοtal scale factοr is 1/2, making B cοrrect.

16 ×(1/2) = 8, which means that the perimeter οf the scale-factοred, reduced rectangle is "the prοduct οf the scale factοr and the perimeter οf the οriginal rectangle". Sο, C is cοrrect.

Hence,  The scale factοr is οne-half.

The perimeter οf the mοdel is the prοduct οf the scale factοr and the perimeter οf the οriginal rectangle.

The area οf the reduced figure is (1/2)² = 1/4 times the area οf the οriginal figure.

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Over what interval does f(x) = 2x
increase faster than g (X) =
¿x?
A. 1
B. x > 3
C.20
D. 1 > x > 21

Answers

If over what interval does f(x) = 2x increase faster than g (X): A. 1

What is  over the interval?

To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.

To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.

So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.

Therefore, the answer is A. 1.

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Laurel's W-2 form reported total Medicare wages as $100,750. She contributed $30 per weekly paycheck to her FSA and $75 per weekly paycheck to her retirement plan. She received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600. What is Laurel's taxable income?

Answers

If Laurel received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600, then Laurel's taxable income is calculated as  $98,580.

What is taxable income?

Taxable income refers to the base upon which an income tax system imposes tax.

We deduct the following;

Wages reported on W-2 =  $100,750

Interest income reported on 1099=  $690

Consulting income reported on 1099= $2,600

Therefore, her total income = $100,750 + $690 + $2,600 = $104,040

Laurel's allowable deductions include:

FSA contributions: $30 per week x 52 weeks = $1,560

Retirement plan contributions: $75 per week x 52 weeks = $3,900

Total deductions = $1,560 + $3,900 = $5,460

Laurel's taxable income  is found as

= Total income - Total deductions

= $104,040 - $5,460

= $98,580

In conclusion, Laurel's taxable income is $98,580.

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HELPP SOMEONE PLEASE

Answers

Answer:

8. mArc ED = 38°

9. mArc EA = 142°

10.mArc BDC = 308°

Step-by-step explanation:

The measure of an a central angle and it's intercepted arc are equal

So if the measure of the angle for the angle that intercepts Arc ED is 38° the arc is also 38°

Same thing with Arc EA, the central angle that intercepts it is 142° so the measure of Arc EA is 142°

Arc BDC is a major arc so it is greater than 180°. It goes around the circle from point B to point C and point D is one of the points on the arc.

We could find the value of the arc two ways. We could add all the angles  the that make up the central angle it is intercept by or we could simply subtract the 52° that isn'tt a part of the arc and subtract that from 360°

360 - 52 = 308

So the central angle intercepting Arc BDC is 308° so the arc also has a measure of 308°.

A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller, in square inches and rounded to the nearest hundredth, is the area of the training wheel than the area of the regular wheel?

Answers

The training wheel has an area approximately 286.34 square inches smaller than the regular wheel.

The area of a circle is given by the formula A = πr², where A is the area of the circle and r is the radius of the circle. Since we have the radii of both wheels, we can use this formula to find their respective areas.

The area of the training wheel is A₁ = π(3)² = 9π square inches.

The area of the regular wheel is A₂ = π(10)² = 100π square inches.

To find the difference in their areas, we can subtract A₁ from A₂:

A₂ - A₁ = 100π - 9π = 91π

So the difference in their areas is 91π square inches. To round to the nearest hundredth, we can use the approximation π ≈ 3.14:

91π ≈ 286.34 square inches

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You missed an A in your art course by only 8 points. Your point total for the course was 415. How many points were possible in the course? (Assume that you needed 90% of the course total for an A.)

Answers

The total possible points in the course is approximately 470.

HOW CAN WE SOLVE AN EQUATION?

Let's assume that the total possible points in the course is "x".

Since you needed 90% of the course total for an A, that means you needed to earn 90% of "x" to get an A. This is equivalent to 0.90x.

You missed an A by only 8 points, so your actual earned points must be 90% of "x" minus 8. This can be expressed as 0.90x - 8.

Given that your actual earned points for the course is 415, we can set up an equation:

0.90x - 8 = 415

Now, we can solve for "x" to determine the total possible points in the course:

0.90x = 415 + 8

0.90x = 423

x = 423 / 0.90

x ≈ 470

So, the total possible points in the course is approximately 470.

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Stacy invests $55,000 into an account at 2.3% interest compounded monthly. Find the total value of the investment after 4 years.

Answers

In the formula, A is the amount after interest, P is the principal, r is interest rate in decimals, n is the amount of times the interest is compounded per year, and t is the amount of years.

Which equation is true?

Answers

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

What is an exponent?

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Find the circumference of the circle. Round to the nearest tenth.

A. 148.4 m

B. 169.6 m

C. 84.8 m

D. 54.0 m

Answers

Answer:

C. 84.8 m

Step-by-step explanation:

Circumference of circle = D x 3.14

D = 27 m

Let's solve

27 x 3.14 = 84.78 m

So, the circumference of the circle is C. 84.8 m

Find the measure of the angle


The angle turns through 5/8 of the circle


The angle mesure of 5/8 of the circle is _°

Answers

5/8*360=225
The angle equals 225 degrees

Solve for b and c. Select BOTH correct answers. Responses c = 8 c = 8 b = 4√3 b = 4√3 b = 8 b = 8 c = 4√3 c = 4√3

Answers

The values of b and c include the following:

c = 8

b = 4√3

How to determine the length of b?

In order to determine the length of b, we would apply the law of tangent because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

Tan(θ) = Opp/Adj

Where:

Adj represents the adjacent side of a right-angled triangle.Opp represents the opposite side of a right-angled triangle.θ represents the angle.

Therefore, we have the following tangent trigonometric function:

Tan(θ) = Opp/Adj

Tan(30°) = 4/b

√3/3 = 4/b.

b = 4√3

From Pythagorean Theorem, the length of c is given by;

c² = (4√3)² + 4²

c² = 48 + 16

c = √64

c = 8

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A ship leaves a port with a bearing of S80°E and a speed of 15 knots. After 1 hour, the ship turns 90° towards the North with the same speed in 2 hours. What is the bearing to the ship from the port (due North)? How far is the ship from the port now?

Answers

The bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

Since the ship travels at a constant speed, we can use the formula:

distance = speed × time

For the first hour, the ship travels at a bearing of S80°E, which is equivalent to a bearing of N10°E. Therefore, the ship travels 15 nautical miles in a direction N10°E. This gives us:

PA = distance = speed × time = 15 × 1 = 15 nautical miles

After the first hour, the ship turns 90° towards the North. This means that the ship is now heading due East. Therefore, for the next 2 hours, the ship travels 15 × 2 = 30 nautical miles in an easterly direction. This gives us:

AB = distance = speed × time = 15 × 2 = 30 nautical miles

Now, we can use the Pythagorean theorem to find the value of y:

y² = x² + (AB)²

y² = 15² + 30²

y² = 225 + 900

y² = 1125

y ≈ 33.54 nautical miles

To find the bearing of B from P, we can use trigonometry. The bearing is the angle between the line PA and due North. Let θ be this angle. Then we have:

tan(θ) = x / y

θ = tan^-1(x / y)

Using the values we have found, we get:

tan(θ) = 15 / 33.54

θ ≈ 24.65°

Therefore, the bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

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Choose the ordered pair that is a solution for this equation.
3x = 8 - y

A. (3, 1)

B. (2, 2)

C. (8, 0)

Answers

Answer:

B. (2, 2)

Step-by-step explanation:

(x, y)

3x = 8 - y

a) 3(3) = 8 - 1

9 = 8 - 1

9 = 7  False

b) 3(2) = 8 - 2

6 = 6  True

c) 3(8) = 8 - 0

24 = 8 False

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