а
Totsakan wants to buy a microscope for $24.
He gives the cashier $100. What is his
change?

Answer:

Simplify the radical expression.

√2a2a

Step-by-step explanation:

The shape isn't showing

but thats the answer

csc(x)/[1+cot^2(x)] simplifies to sin(x).

We can simplify csc(x)/[1+cot^2(x)] as follows:

csc(x) = 1/sin(x) [Reciprocal identity]

cot^2(x) = cos^2(x)/sin^2(x) [Definition of cotangent]

1 + cot^2(x) = (sin^2(x) + cos^2(x))/sin^2(x) = 1/sin^2(x) [Pythagorean identity]

Substituting these identities into the expression, we get:

csc(x)/[1+cot^2(x)] = (1/sin(x)) / [1/sin^2(x)] = sin(x)

Therefore, csc(x)/[1+cot^2(x)] simplifies to sin(x).

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Answer:

x = 91

y = 98

Step-by-step explanation:

x: 180 - 89 = 91

y: 180 - 82 = 98

Hope this helps!

Answer:$4449.6.

Step-by-step explanation:

You deposit $2700 into a bank account paying 64.8% simple interest per year. You left the money in for 1 year. Find the interest earned and the amount at the end of those 1 year?

Result:

The interest is $1749.6 and the amount is $4449.6.

Explanation:

STEP 1: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $2700, i = 64.8% and t = 1 years, so

STEP 2: Find an amount by using the formula .A =P+I

Since P = $2700 and I = $1749.6 we have

Answer:

segments AB and EF

Step-by-step explanation:

both are equal 5 units

i took the quiz and got it right :)

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

\(\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)\)

So, the option (B) is correct.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

Let's call the center of the larger circle point A and the center of the smaller circle point B. We draw a line connecting A and B, which has a length of 117 cm.

We also draw radii from each center to the points where the tangent line intersects each circle. Let's call the intersection point on the larger circle C and the intersection point on the smaller circle D.

Now, we have a right triangle ABC with hypotenuse AB = 117 cm and legs AC = 35 cm and BC = 10 cm. We can use the Pythagorean theorem to solve for the length of AB:

AB^2 = AC^2 + BC^2

AB^2 = 35^2 + 10^2

AB^2 = 1365

AB ≈ 37 cm

Next, we draw a perpendicular line from point C to line AB, which we'll call point E. Since triangle CDE is also a right triangle, we can use the Pythagorean theorem again to solve for the length of DE:

DE^2 = DC^2 - CE^2

DE^2 = (35-10)^2 - (AB/2)^2

DE^2 = 625 - 18.5^2

DE ≈ 29.7 cm

Finally, we can use the Pythagorean theorem one more time to find the length of the tangent line:

Tangent^2 = TE^2 - TD^2

Tangent^2 = DE^2 - 10^2

Tangent^2 = 29.7^2 - 10^2

Tangent ≈ 28.8 cm

Therefore, the length of the common internal tangent is approximately 28.8 cm.

Answer:

choose option 1

Step-by-step explanation:

option one is going to take a longer time to pay off but option 2's annual fees are going to make you spend at least $200 more dollars than option 1

Use the formula V = P(1 - r)ᵗ, where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years. Substituting the given values, the value of the car after 9 years is approximately 10920.91 dollars.

To calculate the value of the car after 9 years, we can use the formula for exponential decay:

V = P(1 - r)ᵗ

where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years.

Substituting the given values, we get:

V = 22400(1 - 0.0675)⁹ ≈ 10920.91

Therefore, the value of the car after 9 years is approximately 10920.91 dollars.

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Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4

Step-by-step explanation:

hope this help you ......

Answer:

Corol´s age: 18 years

Marsha´s age: 46 years

Step-by-step explanation:

c + m = 64      first equation

c - m = 28       second equation

c = Corol´s age

m = Mardha´s age

first equation:

c = 64 - m

second equatión:

(64-m) - m = 28

64 - 28 = m + m

36 = 2m

m = 36/2

m = 18

c = 64 - m

c = 64 - 18

c = 46

Check:

46 + 18 = 64

46 - 18 = 28

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

To compute the rate of return on the investment for purchasers of different subscription lengths, we need to calculate the average annual cost of each subscription option.

a) 2-year subscriptions:

The cost of a 2-year subscription is $12.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $12.00 / 2 = $6.00

b) 3-year subscriptions:

The cost of a 3-year subscription is $16.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $16.00 / 3 = $5.33 (rounded to two decimal places)

c) 5-year subscriptions:

The cost of a 5-year subscription is $22.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $22.00 / 5 = $4.40

Now, to calculate the rate of return on the investment, we need to compare the average annual cost to the regular 1-year subscription rate of $7.50.

a) For 2-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $6.00 / $7.50) * 100% ≈ 20%

b) For 3-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $5.33 / $7.50) * 100% ≈ 29.56%

c) For 5-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $4.40 / $7.50) * 100% ≈ 41.33%

Therefore, the rate of return on the investment for purchasers of:

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

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Answer:

C) x=y

hope it helps.

\(answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

\(length = 12ft\)

Step-by-step explanation:

Given that,

\(width =9 \frac{1}{2} = 9.5\)

Let's find the length

\(perimeter \\43 = 2(l + w) \\ 43= 2(l + 9.5) \\ 43 = 2l + 19 \\ 43 - 19 = 2l \\ 24 = 2l \\ \frac{24}{2} = \frac{2l}{2} \\ l = 12\)

hope this helps

brainliest appreciated

good luck! have a nice day!

1. The most likely color for the taxi = green

2. The probability that the taxi is blue = 0.25

Let us assume that tg represents the taxi was green and tb represents the taxi was blue;

Also yg represents the taxi appeared green and yb  represents the taxi appeared blue.

9 out of 10 athenian taxis are green

So, P(tg) = 0.90

And, P(tb) = 1 - P(tg)

                = 1 - 0.90

                = 0.10

As under the dim lighting conditions, discrimination between blue and

green is 75% reliable,

P(yb | tb) = 0.75.

So, P(yg | tb) = 1 - P(yb | tb)

                     = 0.25

Similarly P(yg | tg) = 0.75

Thus, P(yb | tg) = 1 - P(yg | tg)

                         = 0.25

P(tb | yb) = P(tb, yb) / P(yb)

               = [P(yb | tb) P(tb)] / [P(yb, tg)P(tg) + P(yb | tb) P(xb)]

               = 0.25

Thus the probability that the taxi is blue = 0.25

P(tg | yb) = 1 - P(tb | yb)

              = 0.75

We can observe that P(tb | yb) > P(tb) but the posterior P(tb | yb) is smaller than 0.5, since the prior P(tb) is very small. Thus, the taxi was most likely green.

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The complete question is:

Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens.All taxi cars in Athens are blue or green. You swear under oath that the taxi was blue.Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable.

1. is it possible to calculate the most likely color for the taxi? (*hint:* distinguish carefully between the proposition that the taxi *is* blue and the proposition that it *appears* blue.)

2. what is the probability of the taxi being blue, if you know that 9 out of 10 athenian taxis are green?

Answer:

There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.

Step-by-step explanation:

41-29=12.

29*10=290

Answer:

18

Step-by-step explanation:

\(distance=\sqrt{(1+2)^2+(2+1)^2}=\sqrt{18}.\)

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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Answer:

120

Step-by-step explanation:

Due to an hour equaling 60 minutes, two hours would equal 120.

Answer:

It would be (rounded up) 32.92.   (not rounded up) 32.91666667

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Consider the function f ( x ) = 3x^2 + 4;

\(f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\\)

Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;

\(4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C\)

* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane

Hope that helps!

By using Gram Schmidt process of orthogonalization, it can be calculated that-

Distance from a vector (2; 3; 1)t to the subspace spanned by the vectors \((1; 2; 3)^T , (1; 3; 1)^T\) IS 2.51 units

What is Gram Schmidt process of orthogonalization?

In an inner product space, the set of mathematical operations which converts a set of linearly independent vectors into an orthonormal vector that spans the same set as spanned by the original vectors is called Gram Schmidt process of orthogonalization.

Distance from \(b=(2,3,1)^T\) to   W= \(Span\left \{u_1= (1,2,3)^T,u_2=(1,3,1)^T \right \}\)

Here, Gram Schmidt process of orthogonalization is used

\(v_1=u_1=(1,2,3)^T\\ v_2=u_2-\frac{ < u_2,v_1 > }{||v_1||^2}v_1\)

     \(=(1,3,1)^T-\frac{(1,2,3)^T.(1,3,1)^T}{(1,2,3)^T.(1,2,3)^T}(1,2,3)^T\\ =(1,3,1)^T-\frac{1+6+3}{1+4+9}(1,2,3)^T\\ =(2/7,11/7,-16/14)^T\)

\(v_2 =(2/7,11/7,-8/7) ^T\)

\(proj_bW=\frac{(2,3,1)(1,2,3)}{(1,2,3)(1,2,3)}(1,2,3)+\frac{(2,3,1)(2/7,11/7,-8/7)}{(2/7,11/7,-8/7)(2/7,11/7,-8/7)}(2/7,11/7,-8/7)\)

             =(1.42, 5.11,  -0.22)

\(b-proj_bW\)=(2,3,1)-(1.42,5.11, -0.22)=(0.58,-2.11,1.22)

Required distance from b onto W=

\(||b-pro_bW||=||(0.58,-2.11,1.22)||=\sqrt{(0.58)^2+(-2.11)^2+(1.22)^2}\) = 2.51 units

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The solution is, the values are, x = 18, y = 28, z = 122.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

in the diagram DEFG~PQRS

we get from the figure that,

here, the scale factor = 24/12 = 2

as, EF/RQ = DE/QP

now, we get,

36/QP = 2

or, QP = 36/2

          =18,

similarly we get,

SR = 56/2

     = 28

and, z = 122

Hence, The solution is, x = 18, y = 28, z = 122.

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