An Object Is Moving At A Speed Of 6 Inches Every 4 To 5 Days. Express The Speed In Yards Per Year. Round (2024)

To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.

The left side of the given equation can be written as:

(csc0+ cot 0)(csc0- cot0)

We can then apply the difference of squares formula to this expression to get:

(csc0+ cot 0)(csc0- cot0) = (csc0+ cot 0)(csc0- cot0)

Now, we can see that this expression is equivalent to 1 using the Cancellation Property. This property states that if two numbers or expressions are equal, then their corresponding parts are also equal. In this case, since 1 = (csc0+ cot 0)(csc0- cot0), we can cancel out the corresponding parts on both sides of the equation to get 1 = 1.

Therefore, the correct answer is D. Cancellation Property.

940 is the initial value, to the closest hundredth, after 30 minutes when amount that starts out at 800 increases exponentially at a rate of 5.5% every 10 minutes.

Given that,

An amount that starts out at 800 increases exponentially at a rate of 5.5% every 10 minutes.

We have to find what is the quantity's value, to the closest hundredth, after 30 minutes.

We know that,

Formula is

S=a(r+1)ⁿ

Here,

S is initial value

a is 800

r is 5.5%

n is time 30/10

800×(5.5%+1[tex])^{30\div10}[/tex]

=939.3931

Therefore, 940 is the quantity's value, to the closest hundredth, after 30 minutes when amount that starts out at 800 increases exponentially at a rate of 5.5% every 10 minutes.

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Answer:

939.39

Step-by-step explanation:

Answer:

25 kilometres West direction

The segments in the blank provided is GH/FH=IH/JH so that the equation is true

What are the 4 characteristics of similar triangles?

Similar triangles differ in size but have the same form. Corresponding angles are identical in comparable triangles. Similar triangles have corresponding sides that have the same ratio. The ratio of the square of any two of their corresponding sides to any identical triangle's area is the same.

What are the 3 types of triangle similarity?

The triangle similarity criteria are:

AA (Angle-Angle)

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

In the given question

<GHP=<IHJ (vertically opposite angles)

<JIH=<HPG (alternate angles)

From AA similarity critera

triangles JHI ~ triangle GHP

Hence

GH/FH=IH/JH

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Answer: -3r+4p+6 or 4p-3r+6

Step-by-step explanation:

Combine like terms

5r-8r=-3r

4p

6

-3r+4p+6

Answer:

–3r + 4p + 6

Step-by-step explanation:

5r + 4p – 8r + 6

= 5r – 8r + 4p + 6

= –3r + 4p + 6

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Answer:

Step-by-step explanation:

x - 3 = 5

(x -3) +3 = 5+3

x - 3 + 3 = 8

so,

x = 8

Answer:

Step-by-step explanation:

3

Answer:

(i) x = 17 cm

(ii) 360 cm²

(iii) 14400 cm³

(iv) 4000 cm²

Step-by-step explanation:

You want the slant side length, end area, volume, and total surface area of an isosceles trapezoidal prism with end bases 16 cm and 32 cm and end height 15 cm. The length of the prism is 40 cm.

(i) Slant side

The slant side of the base is the hypotenuse of a right triangle that has legs of 15 cm and (32 -16)/2 = 8 cm. You recognize these numbers as belonging to the {8, 15, 17} Pythagorean triple, so you know the slant side is 17 cm.

If you don't recognize that triple, you can figure the side length as ...

x = √(15² +8²) = √(225 +64) = √289

x = 17 . . . centimeters

(ii) End area

The area of the end trapezoid is given by ...

A = 1/2(b1 +b2)h = 1/2(32 +16)(15) = 360 . . . cm²

The area of the end surface is 360 cm².

(iii) Volume

The volume of the prism is given by ...

V = Bh

where B is the area of the base, and h is the length between bases.

V = (360 cm²)(40 cm) = 14400 cm³

The volume of the prism is 14400 cubic centimeters.

(iv) Surface area

The total surface area is the sum of the areas of the two bases and the lateral area. The lateral area is the product of the perimeter of the base and the length of the prism.

total area = 2 · base area + lateral area

total area = 2 · 360 cm² + (32 + 17 + 16 + 17 cm)(40 cm)

total area = 720 cm² + 3280 cm² = 4000 cm²

The total surface area of the prism is 4000 square centimeters.

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Using the mathematical operations of multiplication, if Elyse owns 2,000 shares of a corporation that pays a quarterly dividend of $0.51 per share, she should expect yearly dividends of $4,080.

What are mathematical operations?

Mathematical operations involve the use of operands and mathematical operators to solve mathematical problems.

Mathematical operations follow the PEMDAS rule, which states that Parentheses, Exponents, Multiplication, and Divisions in that order should be solved first before Additions and Subtractions.

The number of shares owned = 2,000

Quarterly dividend per share = $0.51

Quarters in a year = 4

Yearly dividends = $4,080 (2,000 x $0.51 x 4)

Thus, applying the multiplication operation, the annual dividend Elyse should receive is $4,080.

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Answer:

$102.72

Step-by-step explanation:

If the mp3 player typically costs $120 and was on sale for 20% off, then the sale price would be 120 * (1 - 0.2) = $96.

If Siddhu had to pay 7% sales tax on the sale price, then the total tax he paid would be 96 * 0.07 = $6.72.

Therefore, Siddhu paid a total of 96 + 6.72 = $102.72 for the mp3 player when it was on sale with the sales tax included.

Answer: B

Step-by-step explanation:

1. multiply (-3x+1) by -2 to get -6x+2 -> -6x+2<8

2. then subtract 2 from both sides, -6x+2 -2 < 8 -2 -> -6x<6

3. divide both sides by -6, when dividing an inequality, the inequality symbol switches so you'd have x > -1

so the answer would be B

Because angles ABC and CBD sum up to a 90° angle, their measures must sum up to 90.° So, we can create the following equation:

5x+4x=90

Simplify by combing lien terms:

9x=90

Divide both sides by 9:

x=90/9

x=10

Let’s check this answer:

5(10)+4(10)?=?90

50+40?=?90

90=90

Therefore, x=10

both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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The probability of ending up with an orange hat is 1/12. It is because here are twelve possible outcomes.

What is Probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

It is represented mathematically as;

Probability = Number of Expected outcomes / Total number of outcomes

From the question, we can have the following outcomes;

Clothing = 4

Colors = 3

Pr (pick a clothing) = 1/4

Pr (pick a color) = 1/3

Pr (picking an orange hat) = 1/4 x 1/3

Pr (picking an orange hat) = 1/12.

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Answer:

20

Step-by-step explanation:

When you have two minuses, it will result in a plus.

Answer:

it's 20

Step-by-step explanation:

i just hv to know the sign

The equation of line that would graph his salary over time will be;

⇒ y = 1/685x - 38.89

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

After 4 years, he makes $56,785; after 9 years, he makes $60,210.

Now,

Since, After 4 years, he makes $56,785; after 9 years, he makes $60,210.

Hence, The equation of line passes through the points (56,785, 4) and

(60,210, 9).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (9 - 4) / (60210 - 56785)

m = 5 / 3425

m = 1/685

Thus, The equation of line with slope 1/685 is,

⇒ y - 4 = 1/685 (x - 56,785)

⇒ y - 4 = 1/685x - 42.89

⇒ y = 1/685x - 42.89 + 4

⇒ y = 1/685x - 38.89

Therefore, The equation of line that would graph his salary over time will be;

⇒ y = 1/685x - 38.89

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Answer:

t1/2=1m => 30days

A0=500g =0.5kg

t=8m = 240days

A=?

λ=ln2÷t1/2

λ=0.6931÷30

λ=0.0231033333

A=A0×e^-λ×t

A=0.5×e^-0.0231033333×240

A=1.953125grams

If a lawyer charges 120 an hour then the bill for 3 hours and 20 minutes will be 400

Bill: A bill is the printed or written statement of the money owed for goods or services.In later Latin, bulla became billa, and in English billa became bill. The word can still refer to various official documents, such as a proposed law that is brought before parliament, although it is now most commonly used for documents that request payment of money.

One hour = 60 minutes

3 hours and 20 minutes = 3×60 +20

= 180+20=200

Here, one hour=60 minutes charges 120

1 minute charges = 120/60

= 2

200 minute charges = 2×200=400

Therefore If a lawyer charges 120 an hour then the bill for 3 hours and 20 minutes will be 400.

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The statement would no longer be true if you did not flip the signs.

Example: 1 < x < 2 multiplied by (-1) equals -2 < x < -1, because you can't have a number that is greater than -1, and less than -2 at the same time.

an instance where a region's u.s. land surface has changed subsided due to groundwater withdrawal. The land surface in the Central Valley has subsided by as much as 30 feet in distance some areas due to unsustainable groundwater withdrawals.

The most famous case of land subsidence due to groundwater withdrawal in the United States is the Central Valley of California. The land surface in the Central Valley has subsided by as much as 30 feet distance in some areas due to unsustainable groundwater withdrawals. In addition to land subsidence, the unsustainable withdrawals have caused significant groundwater depletion, surface water contamination, and reduced agricultural productivity.

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10 kilometres

Explanation

1/3 + 4/5 = 5/8

5÷8 = 0.625

0.625 * 16 = 10

The axis of symmetry of the parabola would be x = 2

How to determine the axis of symmetry

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

Vertex = (2, 13)

Rewrite the vertex as follows

So, we have the following representation

(x, y) = (2, 13)

Remove the y-coordinates

This gives

x = 2

This represents the axis of symmetry

Hence, the axis of symmetry is x =2

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To establish the given identity, we need to first multiply the left side of the equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.

The left side of the given equation can be written as:

(csc0+1)(csc0-1)

We can then apply the difference of squares formula to this expression to get:

(csc0+1)(csc0-1) = (csc0+1)(csc0-1)

Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.

Therefore, the given identity is established using the Pythagorean Identity. This means that the correct answer is C. Pythagorean Identity.

Answer:

Step-by-step explanation:

210x550=115500

115,500 divide 10,000=11.55?

Answer:

a = 120 cm2

Step-by-step explanation:

The prism has 5 sides:

2 triangles, base: 3 hight: 4, each

3 rectangles, 3x9, 5x9 and 4x9

Add the areas on each side to the total area:

[tex]a=(2)\frac{(3)(4)}{2} +(3)(9)+(5)(9)+(4)(9)=12+27+45+36[/tex]

[tex]a=120cm^{2}[/tex]

Hope this helps

Answer:

C. 3, 12, 10

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

According triangle inequality theorem the sum of any two sides of a triangle is greater than the third side.

Apply this to our options, add up the two shortest sides and compare with the longest side.

Option A8 + 4 < 16, no, it is impossible to build a triangle.

Option B3 + 6 = 9, no, it is impossible to build a triangle.

Option C3 + 10 > 12, yes, possible triangle.

Answer:

It will cost $86.00 for the care to be towed 7 miles.

Step-by-step explanation:

C(x) = 3x + 65 Substitute in 7 for x

C(7) = 3(7) + 65

C(x) = 21 + 65

C(x) = 86

Answer

86 Dollars

Step-by-step explanation:

It is given that

[tex]c(x) = 3x + 65 \\ [/tex]

Since,x is the number of miles the car is towed which in this case is 7

So, If we input 7 in the function C(x)

[tex]c(7) = 3 \times 7 + 65[/tex]

We know through BODMAS that multiplication is done before addition.

Thus,

[tex]c(7) = 21 + 65 \\ because \: 3 \times 7 = 21 \\ [/tex]

and so,

[tex]c(7) = 86 \\ because \:21 + 65 = 86[/tex]

and so,

c(7) = 86

We also know that C(x) is the cost of having the car towed which is equal to 86 for the case of towing the car 7 miles

Thus,The cost of having the car towed 7 miles is 86 Dollars

The curvature of r(t) = 3t, t2, t3 at the point (3, 1, 1) is 0.178

In this question we need to find the curvature of r(t) = <3t, t^2, t^3> at the point (3, 1, 1).

The derivative of r(t) with respect to t is:

r'(t) = <3, 2t, 3t^2>

The point (3, 1, 1) corresponds to t = 1,

and r′(1) = <3, 2(1), 3(1)^2>

r'(1) = <3, 2, 3>

|r'(1)| = √(3^2 + 2^2 + 3^2)

|r'(1)| = √(9 + 4 + 9)

|r'(1)| = √(22)

|r'(1)| = 4.69

Now, r''(t) = <0, 2, 6t>

and r′'(1) = <0, 2, 6(1)>

r''(1) = <0, 2, 6>

r′(1) × r′′(1) = <0, 4, 18>

|r′(1) × r′′(1) |

= √(0^2 + 4^2 + 18^2)

= √(16 + 324)

= √340

= 18.44

So, the curvature of r(t) would be,

κ(1) = |r′(1) × r′′(1)| ÷ |r′(1)|^3

k(1) = 18.44 / 4.69³

k(1) = 0.178

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