Write and solve a proportion to answer the question.
42 is what percent of 80?
42
р
100
80
p= %

The time needed for light to travel 42000 Km is 0.14 second.  

Given that,

The speed of the light is = 3 × 10⁸ m/s

Distance travelled by light is = 42000 km = 42 × 10⁶ m [since 1 km = 10³ m]

We have to find the time needed to travel the distance 42000 km by the light.

We know that from the velocity formula,

Speed = Distance/Time

Time = Distance/Speed

Time = (42 × 10⁶)/(3 × 10⁸) = 14 × 10⁻² = 0.14 second.

Hence the time needed for light to travel 42000 Km is given by 0.14 second.  

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By completing squares in both the variables and try to get the general equation of the form:

(x - a)^2 + (y - b)^2 = R^2

A general circle equation for a circle whose center is (a, b) and the radius is R, is:

(x - a)^2 + (y - b)^2 = R^2

So, if we have an equation like:

x^2 + cx + d + y^2 + h*y + l = m

We just need to complete squares in both x and y, such that we end with an equation of the form of:

(x - a)^2 + (y - b)^2 = R^2

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Answer:

63

Step-by-step explanation:

multiply 7 by 18 7 × 18=126 then divide by 2 126÷2=63

The correct matching of each amount in the situation with the expression that represents it is:

Given that:

We have the situations and expressions that need to be matched such that:

Therefore, considering the situation,

The correct matching is given as:

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To accurately estimate ln 1.4 to within 0.0001., we need at least 7 terms.

What does Maclaurin series mean?

Given the values of the function's successive derivatives at zero, a Maclaurin series is a power series that enables one to construct an approximation of a function with input values close to zero.

The Maclaurin series is what?

A Taylor series centered on zero is referred to as a Maclaurin series.

Presented function is:

f(x)=ln(1+x)

We are aware of the following expansion of ln(1+x) near zero (up to 7 terms):

\(ln(1+x)=x-\frac{x^{2} }{2} +\frac{x^{2} }{3}-\frac{x^{2} }{4}+\frac{x^{2} }{5}-........\)
Where \(-1\leq x\leq 1\)
Put x=0.4 in the preceding series for ln 1.4.

\(ln(1+0.4)=x-\frac{0.4^{2} }{2} +\frac{0.4^{2} }{3}-\frac{0.4^{2} }{4}+\frac{0.4^{2} }{5}-........\)
\(ln(1.4)=0.3365333\)

Therefore, to estimate ln 1.4 to within 0.0001, we require at least 7 terms.

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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Answer:

95

Step-by-step explanation:

25.70 - 20 = 5.7

5.7 ÷ 0.06 = 95

95 minutes were used by cell phone.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Monthly fee = $20.

Additional Charges per minute = $0.06

Last month bill = 25.70

So, After removing monthly charges

= 25.70- 20

= 5.7

So, number of minutes used in cell phone

= 5.7/ 0.06

= 95 minutes

Hence, 95 minutes were used by cell phone.

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Answer:

2/5.

Step-by-step explanation:

Hope this helps. S

Answer:

2/5 is the answer of this question

Answer:

He only added Sundays run

Step-by-step explanation:

Answer:

(4,-1)

Step-by-step explanation:

Found it by going down 6 units and right 7 units.

If measure of ∠6 is 145⁰ and ∠5 is 35⁰ then the angle ∠3  is 145  degrees

Streets A and B run parallel to each other.

The measure of ∠6 is 145⁰ and ∠5 is 35⁰

We have to find the measure of ∠3

∠6 is corresponding angle to ∠2

∠6 = ∠2

The measures are equal

∠3 is vertical angle of ∠2

∠2 =∠3

∠3 = 145  degrees

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The statement that f has a simple zero at z=0 and vanishes nowhere else in |z|≤1 implies that the function f is non-vanishing and has a derivative that does not vanish at z=0.

From this, we can use the Implicit Function Theorem which states that if f is holomorphic in a neighborhood of a point (a,b) and f(a,b)=0 and ∂f/∂y(a,b)≠0, then there exists an open neighborhood U of a and a unique holomorphic function g:U→R such that g(a)=b and (x,g(x)) is a solution of the equation f(x,y)=0 for all x in U.

In this case, since f(z) has a simple zero at z=0 and f'(0)≠0, by the Implicit Function Theorem, there exists an open neighborhood U of 0 and a unique holomorphic function h:U→C such that h(0)=0 and f(h(ϵ))=0 for all ϵ in U. Hence, fϵ(z) has a unique zero in |z|≤1.

Also, since f and g are holomorphic in a region containing the disc |z|≤1 and ϵ is continuous, it follows that fϵ is holomorphic in the same region. Thus, by the holomorphicity of fϵ and h, the mapping ϵ↦zϵ is continuous.

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The gross profit is computed by adding the income and subtracting the costs. In this problem we have:

• incomes: $102,100 + $504,900,

• costs: $437,000.

Gross profit = $102,100 + $504,900 - $437,000 = $170,000

Answer: $170,000

Answer:

Below in bold.

Step-by-step explanation:

6 hours 12 minutes = 6.2 hours

7 hours 18 minutes = 7.3 hours.

Average speed = distance / time

So for West to East,  average speed =  3800 / 6.2 = 612.9 km/hour.

- and  for East to West,  average speed =  3800 / 7.3  = 520.5  km/hour.

These values are correct to the nearest tenth.

Answer:

1/3

Step-by-step explanation:

To get no solution, you want to get rid of x and leave an incorrect equation.

In this case, we will use 1/3x.

1/3x + 2 = 1/3x - 3

We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.

1/3x - 1/3x + 2 = 1/3x - 1/3x - 3

2 ≠ -3

As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.

Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was  6 points.

In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.

Amelia score the point :

2*5=10

Amelia received a point total of 10 points.

Jorden score the point :

10-4 =6 points

The point Jordan scored was  6 points.

Bryce score the points

3*6 = 18 points

Where

Bryce made the basket equals 18 points.

so,Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was  6 points.

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35/35-14/35=21/35=0.6=60%

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Given that the daily return of stock XYZ is normally distributed with a mean of 20 basis points and standard deviation of 40 basis points.

We need to find the probability such that the return volatility (price change limit) is within one standard deviation from the mean on any given day.Now, we have to find the probability of a return volatility that is within one standard deviation from the mean on any given day.

So, let's calculate the probability using the given data:

=P(-σ ≤ R ≤ σ)

=P(-1 ≤ Z ≤ 1)

=0.6823 (Approximately) Here, R is the return volatility and Z is the standard normal variable.The probability is 0.6823 (Approximately) that the return volatility will be within one standard deviation from the mean on any given day.

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Answer:

1/169

Step-by-step explanation:

The compound inequality is represented by –4 ≤ x < 2 ,  Option C is the answer.

An inequality is a statement that consist of expressions equated by constants or other expressions by an inequality operator.

From the line shown below , the compound inequality has to be determined

There is an open dot on + 2 and closed dot on -4

so x  ≥ –4 , x < 2  

and this is represented by –4 ≤ x < 2

Therefore Option C is the answer.

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The length of side x in simplest radical form with a rational denominator is 8√3

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

Step-by-step explanation:

4). Surface area of front and back = 2(lengh × height)

                                                        = 2(7×3)

                                                        = 63 cm²

    Surface area of top and bottom = 2(length × width)

                                                          = 2(8×7)

                                                          = 112 cm²

     Surface area of left and right = 2(width × height)

                                                      = 2(8×3)

                                                      = 48 cm²

      Total surface area = 63 + 112 + 48

                                      = 223 cm²

5). Surface area of top and bottom = 2πr²

                                                          = 2π(4)²

                                                          = 32π

                                                          = 100.53 cm²

    Surface area of middle = h(π × d)

                                            = 4(π × 8)

                                            = 32π

                                            = 100.53 cm²

     Total surface area = 32π + 32π

                                     = 64π

                                     = 201.06 cm²

6). Surface area of front and back = \(2[\frac{1}{2}(\text{Base})(\text{Height)}]\)

                                                        = Base × Height

                                                        = 6 × 8

                                                        = 48 cm²

     Surface area of bottom = 6 × 11

                                             = 66 cm²

     Surface area of the left = 8 × 11

                                             = 88 cm²

     Surface area of right = 10 × 11

                                        = 110 cm²

      Total surface area = 48 + 66 + 88 + 110

                                      = 312 cm²  

Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

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Answer:

The answer is 80°

Step-by-step explanation:

pls give brainliest!

all angles = 360°

100+100+80=280°

360°-280°=80°

Answer:

D) 7

Step-by-step explanation:

P=58000(1+0.05)^t

P=58000 x 1.05^t

58000 x 1.05^7= 81611.8245

D) 7

The number of 7 years will take for the profit to exceed $80,000

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

A company's profit, currently $58,000, grows at the rate of 5% per year. The amount P after t years can be expressed by the exponential equation

P = 58000(1 + 0.05\()^{t}\)

We have P = 80,000.

So,

80000/58000 = (1 + 0.05\()^{t}\)

1.38 = (1.05\()^{t}\)

Taking log both sides, we get,

t = ln(1.38)/ln(1.05)

t = 0.136/0.02

t = 6.8

t ≈ 7 years.

Therefore, the time required is 7 years.

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