The length of a planet's orbit around a star is approximately 17,680,000 km.
It takes the planet about 860 Earth days to complete a full orbit.
What is the planet's average speed in kmh 1 to 3sf?

Answer:

10.9

Step-by-step explanation:

\(a^2+b^2=c^2\)

\(9.1^2+6^2=c^2\)

\(82.81+36=c^2\)

\(c^2=118.81\)

\(c=\sqrt{118.81} =10.9\)

360 degrees / 24 hours = 15 degrees per hour

150 degrees / 15 degrees per hour = 10 hours

Answer: 10 hours

Answer:

Second option.

Step-by-step explanation:

In a mathematical sense, all real values of x are possible, as no real values of x will make it undefined.

However, in a reasonable sense, the length and width of a rectangle should be positive, so 0.5x -2 > 0.

Therefore, in a reasonable sense, x > 4.

The measure of arc RT is 156 degree.

Given:

arc TRM=102°

Hence:

arc RST=2×1O2°

arc RST=204°

Measure of arc RT

arc RT= 2(180° - 102°)

arc RT = 2(78°)

arc RT = 156 degrees

Therefore the correct option is B.

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Answer:

x= d/ab - c/b

Step-by-step explanation:

i'm just assuming it's solving for X

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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The value of the money including inflation after 6 years will be $6510.64.

The rate at which prices grow over a specific time period is known as inflation. Inflation is often measured in broad terms, such as the general rise in prices or the rise in a nation's cost of living. But it may also be computed more precisely for some products, like food, or for services, like a haircut, for instance. In any situation, inflation refers to how much more costly the pertinent collection of products and/or services has grown over a predetermined time frame, most frequently a year.

Given that, Inflation is running at 1.1% per year when you deposit $5,000 in an account earning 4.4% compounded continuously.

deposit amount (P) = $ 5000

Rate (r) = 4.4 %

Time (t) = 6 years

Compound continuously

Amount (A)= 5000 e⁰°⁰⁴⁴ˣ ⁶

A = $ 6,510.64098

A = $ 6510.64

Total accumulated money after 6 years = $ 6,510.64

value of money decreases due to inflation

The real value of money after n years with the rate of inflation i = 1.1%

yₙ = A( 1 / (1+i) )ⁿ

y₆ = 6510.64 (1 / ( 1 + 0.011))⁶

y₆ = 6,097.008

Real value of money = $ 6,097.01

Therefore, after 6 years real value of the money including inflation will be $ 6,097.01.

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Answer:

Step-by-step exi  i dont know but thanks for the points sorry

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Step-by-step explanation:

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

43.44 for the first one

16 cats from the second one

496 for the third one

Step-by-step explanation:

Answer:

a. 43.44

b. 16

c. 496

Step-by-step explanation:

a. (14.48) x 3= 43.44

b. 25% of 64= 16

c. 31 x 16= 496

Answer: 2 are less than 3

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2

the "sum" of a group of numbers is the numbers added together

So, the numbers between 23 and 29:

23, 24, 25, 26, 27, 28, 29

(even numbers are in bold)

    if we add these numbers together,

 {1}                                  {carry the 1 from the 18 in the one's place}

  24

  26

+ 28

______

  78

So the sum of all the even numbers between 23 and 29 is 78.

hope this helps!!

The formula for the variance of the binomial distribution is o = √npq

Equating the value is the equation

o = √npq,

\(o = \sqrt{80\times1\times\0.4}\)

o = 5.6568

The binomial distribution is defined as the number of trials or observations when each trial has the same probability of reaching a certain value. The binomial distribution determines the probability of observing a certain number of successful outcomes for a given number of trials.

The binomial distribution model allows us  to calculate the probability of observing a certain number of "successes" if a process is repeated a certain number of times (eg, in a patient population) and the result for a given patient is either successful. or failure.

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6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.

6! = 720

6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

So the answer is 720 ways.

There are 720 ways in which a multiple-choice question on an online quiz with six answer choices can be displayed. This is calculated by multiplying all the integers from 1 to 6, which is referred to as 6 factorial, or 6!. 6! is calculated by multiplying 6 x 5 x 4 x 3 x 2 x 1, which equals 720. This means that there are 720 possible combinations of answer order that can be shown to each student when they take the quiz. With such a wide variety of possible answers, students can focus on the content of the question rather than on the order of the answers, which can help to reduce bias and ensure the validity of the quiz.

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Answer:

Measurements.

Step-by-step explanation:

Measurements are important because they help us in our every day lives such as cooking and baking, construction and many other things but measurements also help us find out our weight and height, or even what size shoe we have. So basically measurements are important in every part of our every day lives.

Hope it helps!

OwO

Answer:146

Step-by-step explanation:

took a test :)

Answer:

The answer should be 146 i took the test!

Step-by-step explanation:

If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Inequality

x is the integer

First step is to formulate the inequality

40x≤ 25,500-6,400

Now let determine the x by using the inequality

40x≤ 25,500-6,400

40x≤19,100

x=≤19,100/40

x=≤ 477.5

Therefore If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

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Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

Answer:

The marked price of the watch is $2,702.27.

Step-by-step explanation:

Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:

1 - 0.2 = 0.8

0.8 x 1.1 = 2378

0.88 = 2378

0.88 = 2378

0.8 = X

0.8 x 2378 / 0.88 = X

1,902.4 / 0.88 = X

2,161.81 = X

0.8 = 2,161.81

1 = X

2,161.81 / 0.8 = X

2,702.27 = X

Therefore, the marked price of the watch is 2,702.27.

naw

g4jtnbjtrnjbnrtibnrijnbngtrjnb jtkgnbrbgbn

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

3. 2,100 trouts.

4. 22 weeks.

Trout (%) =\(\frac{14}{50} =0.28\)

Trount (Q)= \(0.28*7500=2100\)

The amount of trout fishes that there should be in the lake is about 2,100.

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

39 wetsuits ------> 2 weeks

429 wetsuits ----> x

\(x=\frac{(429*2)}{39} \\ \\x=22\)

It'll take 22 weeks for the shop to produe 429 wetsuits.

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

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\(\\ \sf\longmapsto 49\approx 50\)

\(\\ \sf\longmapsto 354\approx 400,350\)

\(\\ \sf\longmapsto 281\approx 300,280\)

\(\\ \sf\longmapsto 2250\approx 2200\)

\(\\ \sf\longmapsto 94970004\approx 94970\)

\(\\ \sf\longmapsto 105,225,762\approx 105226\)

15 + 36 not-equals 41, so those lengths will not form a triangle.

15 squared + 36 squared = 1,521

41 squared = 1,681

Since a squared + b squared not-equals c squared, it will not be a right triangle.

15 squared + 36 squared = 297

41 squared = 82

Step-by-step explanation; did it on the website euphoria

The translation of the parent function is f ( x ) = | x + 6 | which is shifted 6 units to the left

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the transformation of the function be a translation , where

The parent function is f ( x ) = | x |

And , the translated function is f ( x ) = | x + 6 |

So , original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

And , the function is translated 6 units to the left

Hence , the translated function is f ( x ) = | x + 6 |

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Answer:

3 + x < 100

3 + x - 3 < 100 - 3

x < 97

Step-by-step explanation:

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.

To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.

Given:

Length of the cylindrical steel pipe (hollow part) = 21 cm

Radius of the solid cylinder = 0.4 cm

Radius of the hollow cylinder = 0.1 cm

First, let's calculate the volume of the solid cylinder (hollow part):

V1 = π × \(r1^2\) × h

V1 = π × \((0.4 cm)^2\) × 21 cm

Next, let's calculate the volume of the hollow cylinder:

V2 = π × \(r2^2\) × h

V2 = π × \((0.1 cm)^2\) × 21 cm

Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:

Volume of liquid = V1 - V2

Let's calculate these values:

V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³

V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³

Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³

To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:

Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.

Therefore, none of the options A, B, C, or D provided is the correct answer.

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If inversion be defined on K as a physical act of turning a member of K upside down. Then it will be the upside-down triangle.

consider the set K = (triangle, upside-down triangle, square, rectangle). Inversion is defined on K as the act of turning a member of K upside down.

To determine which shape is the triangle, follow these steps:
1. Identify the properties of each shape in set K:
  - Triangle: 3 sides and 3 angles
  - Upside-down triangle: same properties as a triangle, but inverted
  - Square: 4 sides, all equal in length, and 4 right angles
  - Rectangle: 4 sides, opposite sides equal in length, and 4 right angles
2. Analyze the effect of inversion on each shape:
  - Triangle: Inverting a triangle results in an upside-down triangle.
  - Upside-down triangle: Inverting an upside-down triangle results in a regular triangle.
  - Square: Inverting a square does not change its appearance.
  - Rectangle: Inverting a rectangle does not change its appearance.
3. Identify the shape that becomes a triangle after inversion:
  - The upside-down triangle becomes a regular triangle after inversion.
So, the shape in set K that corresponds to the triangle after applying inversion is the upside-down triangle.

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