A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours because of a strong jet stream. on the same day, a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours. part a: how much further, in kilometers, did the plane from new york to london fly in one hour compared to the plane from denver to hartford?

Answer:

The answer is -77 you just multiplying then subtracting

Answer:

nppp

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

diameter is the segment from 1 point on the circle through the centre to the opposite point on the circle.

diameter = BD

The centre is the point equidistant from all points on the circle.

centre = A

the radius is the distance from the centre to a point on the circle.

Here the radius = AB, AC, AD

By using percentage, it can be calculated that

Percentage decrease in the screen time for Lora  = 40 %

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100

Here, Percentage decrease will be calculated

Screen time for Lora last week = 840 minutes

Screen time for Lora this week = 504 minutes

Decrease in screen time for Lora = (840 - 504) minutes

                                                        = 336 minutes

Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %

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We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

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The probability that the product of two numbers randomly chosen without replacement from ${3, 4, 5, 6}$ will be a multiple of 9 is $\frac{1}{6}$.

To find the probability that the product of two numbers randomly chosen without replacement from a set will be a multiple of a certain number, we can count the number of pairs of numbers in the set that have a product that is a multiple of the given number and divide this number by the total number of pairs of numbers that can be chosen without replacement.

In this case, the set of numbers is ${3, 4, 5, 6}$, and the number that we want the product to be a multiple of is 9. There is only one pair of numbers in this set whose product is a multiple of 9, which is 3 and 9. There are a total of $\binom{4}{2} = 6$ pairs of numbers that can be chosen without replacement from this set.

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The aquarium with dimensions 16 in. × 8 in. × 10 in. can hold approximately 30.6 liters of water and approximately 8.09 gallons.

To calculate the volume of the aquarium, we multiply its length, width, and height. Since the dimensions are given in inches, we need to convert the volume to liters and gallons.

First, let's calculate the volume in cubic inches:

Volume = Length × Width × Height = 16 in. × 8 in. × 10 in. = 1280 cubic inches.

To convert cubic inches to liters, we divide the volume by 61.024:

Volume in liters = 1280 in³ / 61.024 = 20.96 liters (rounded to two decimal places).

To convert liters to gallons, we divide the volume by 3.78541:

Volume in gallons = 20.96 liters / 3.78541 = 5.53 gallons (rounded to two decimal places).

Therefore, the aquarium can hold approximately 30.6 liters of water and approximately 8.09 gallons.

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The Correct choice is :

Answer:

False cuase 5 is in thousands

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

23

Step-by-step explanation:

Use the hint to solve!

New equation would be 49 = 26 + h.

49 - 26 = 23.

Holly has 23 barrettes.

Answer:

b  ≥ 4

Step-by-step explanation:

12b + 12 ≥ 60

Subtract 12 from each side

12b + 12-12 ≥ 60-12

12b  ≥ 48

Divide each side by 12

12b/ 12 ≥ 48/12

b  ≥ 4

Close circle at 4  line to the right

Answer:

Step-by-step explanation:

12b + 12 ≥ 60

1) add -12 at both members

12b + 12-12 ≥ 60 -12

12b ≥ 48

2) divide both members by 12

12/12 b ≥ 48/12

b ≥ 4

for graph the solutions we have to draw two lines

the first one is an horizontal line that has as equation the right part of the inequality

y = 60

the second one is a line the that passes from the origin and interecpts the first line in (4;60). 4 is the the first number that can be a possible value of the inequality

Equation a line that passes for two points  A (0,0) , B (4,60)

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 60)/ (0 -60) = (x - 4) / (0-4)

(-y+60)/60 (-x+4)/4

-y + 60 = -15x + 60

y = 15x

the solutions of the inequality are all the points between the two lines with x≥4 and y≥60

Answer:

null

Step-by-step explanation:

they never intersect, cuz they are parallel

Answer:

lebron james to the 2nd power.

Step-by-step explanation:

Answer:

r(x)= 11x

c(x) = 6x + 20

p(x) = r(x) - c(x)

= 11x -( 6x + 20)

= 11x - 6x - 20

= 5x - 20

The value of b, given that the area of the region under the curve of the function f(x) = 2x^2 + 6 on the interval [0, b] is 36 square units, where b > 0, is 3.

To find the value of b, we need to integrate the function f(x) over the interval [0, b] and set it equal to the given area of 36 square units. The definite integral of f(x) over the interval [0, b] is given by the formula ∫[0,b] (2x^2 + 6) dx = [(2/3)x^3 + 6x] evaluated from x = 0 to x = b. Evaluating this expression, we get [(2/3)b^3 + 6b] - 0 = 36. Simplifying this equation, we get (2/3)b^3 + 6b - 36 = 0.

To solve for b, we can use numerical methods such as Newton's method or the bisection method. However, in this case, we can easily see that b = 3 is a solution to the equation since it makes the area under the curve equal to 36 square units. Furthermore, the other two roots of the equation are negative, which is not possible since b > 0. Therefore, the value of b is 3.

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A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

Answer:

d=-15

Step-by-step explanation:

1/5d= -3

d= -3×5

d= -15

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^

Answer:

a)  a=8,  b=3,  c=-4

b) (-3 + \(\sqrt{137}\))/16, (-3 - \(\sqrt{137}\))/16)

c) roots in decimal form are 0.54 and -0.92

Step-by-step explanation:

a) 8n² + 3n - 4

b) (-3±\(\sqrt{9+128}\)) ÷ 16

Answer:

its 12

plz mark me branliest

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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The constant of proportionality (k) for the data points on this graph is 7.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 7/1 = 14/2 = 21/3 = 28/4 = 35/5

Constant of proportionality, k = 7.

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Answer:

2. 7 + y

4. 12 - v

6. c +8

8. p - 3

10. n/9

12. c + n

14. 7 + 2p

16. q - 10

18. m = 10 - y

20. p = c

      d = 10c

22. 1/100y = c

24.

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

25+11=36 x  (10+3)

36 x 13= 468

Ethical research methods include D. doing your best to select an unbiased sample.

In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.

The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.

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Answer:

FJ is -3/1

Step-by-step explanation:

And in order to be a trapezoid, just one pair of sides needs to be parallel.

Answer:

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48

Step-by-step explanation:

You want a polynomial of 5th degree with x-intercept (3, 0), point (-2, 0) a local maximum, and a limit as x→-∞ of p(x)→∞.

The requirements placed on the polynomial mean that the graph will cross the x-axis at x=3 and will touch the x-axis from below at x=-2. The touch from below means the zero at x=-2 must have even multiplicity. That multiplicity can only be 2 in order for the other requirements to be met.

Since the polynomial is positive for large negative x-values, the leading coefficient must be negative, and there must be a zero that is less than -2.

So far, we have four (4) zeros accounted for, but we need 5. The 5th zero must be greater than -2.

For the polynomial shown in the graph, we have elected to have zeros at x=-4 and x=1. Each zero at x=q means (x-q) is a factor. The multiplicity of the zero is the exponent of the factor.

This makes the factored form be ...

  p(x) = -(x +4)(x +2)²(x -1)(x -3)

The expanded form is ...

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48

The total cost of the surfboard, including sales tax, is $683.

To calculate the total cost of the surfboard, we need to consider the discounted price and the sales tax. The surfboard's original price is $1,000, and it is marked down by 35%. So, the discounted price is 65% of $1,000, which equals $650. Next, we need to add the sales tax of 2% to this discounted price. Applying a 2% tax to $650 gives us $13. Therefore, the total cost of the surfboard, including sales tax, is $650 + $13 = $663.

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Answer:

The answer is 90

Step-by-step explanation:

When HI=GH

Then m<G=m<I= 45

m<H=180-(45+45)=90

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