An object is moving at a speed of g kilometers every 6.5 years. Express this speed in inches per day. Round your answer to the nearest whole number. Note: you must use these exact conversion factors to get this question right. Distance/ length 1 foot (ft) = 12 inches (in) 1 yard (yd) =3 feet (ft) 1 mile (mi) = 528o feet (ft) 1 meter (m) = 100 centimeters (cm) 1 kilometer (km) = 1000 meters (m) 1 inch (in) = 2.54 centimeters (cm) 1 foot (ft) = 0.305 meters (m) 1 mile (mi) = 1.60g kilometers (km) Time 1 minute (min) 60 seconds (sec) 1 hour (hr) = 60 minutes (min) 1 day (day) = 24 hours (hr) 1 week (week) =7 days (days) 1 month (month) = 30 days (days) 1 year (year) 365 days (days)​

To find the length of arc BC, we need to use the formula: arc length = radius * angle (in radians). Given the radius is 4 feet and the angle BAC is 1/4 of one radian, we can calculate the arc length as follows:
Arc length = 4 * (1/4) = 1 foot
So, the length of arc BC in the circle with a radius of 4 feet is 1 foot.

To find the length of arc BC, we need to first find the circumference of the circle using the radius given.

The formula for circumference is:
C = 2πr
where r is the radius and π is a constant approximately equal to 3.14.

Plugging in the given radius of 4 feet, we get:
C = 2π(4) = 8π

So the circumference of the circle is 8π feet.

Next, we need to find the length of the arc BC, which is a portion of the circumference. To do this, we need to find the central angle that subtends arc BC.

Since angle BAC is 1/4 of one radian, we can find the central angle by multiplying 1/4 by 180/π degrees (since there are 180 degrees in one radian).

1/4 * 180/π ≈ 45.57 degrees

So the central angle that subtends arc BC is approximately 45.57 degrees.
To find the length of arc BC, we can use the formula:
arc length = (central angle/360) * circumference

Plugging in the values we found, we get:
arc length = (45.57/360) * 8π
arc length ≈ 1.018 feet

So the length of arc BC is approximately 1.018 feet.

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Answer:

13/8

Step-by-step explanation:

let the number be x

5/8 - x = -1

-x = -1 - 5/8

-x = - 13/8

x = 13/8

5/8- 13/8 = -1

Answer:

13/8

Step-by-step explanation:

5/8 - x = -1   where x is the number to be found.

- x = -1 - 5/8

x = 5/8 + 1

   = 13/8.

Answer:

1/2 of the class

give brainliest if it helps

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

x = 20°, y = 70° see image

Step-by-step explanation:

Use the bottom, lower, short wide triangle first. It has marks on it to show that two of the sides are the same length. That means that the opposite angles are the same. One is marked x, so the other is also x. There is a 40° angle given, along the same line right next to it has to be 140°. We'll use that one.

Also, the angles in a triangle add up to 180°.

x° + x° + 140° = 180°

See image for calculations.

Then we use the whole entire triangle. It has a 90° angle and the 20° (for x, that we just found) and y. We'll use that to find y.

90° + y + 20° = 180°

See image for calculations.

Answer:

\(\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}\)

\(\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}\)

\(81, \underline{27, 9, 3, 1},\dfrac{1}{3}\)

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the \(n^{th}\) term of a geometric sequence.

\(a_n=ar^{n-1}\)

Where \(a\) is the first term and

\(r\) is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

\(ar = 24\\ar^4 = \dfrac{3}{64}\)

Solving the above equation:

\(r = \dfrac{1}{8}\)

Therefore, the sequence is:

\(\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}\)

Considering the second given sequence:

\(ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2\)

Therefore, the sequence is:

\(\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}\)

Considering the third sequence:

\(a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3\)

Therefore, the sequence is:

\(81, \underline{27, 9, 3, 1},\dfrac{1}{3}\)

If you randomly choose two cards from a thoroughly shuffled deck and if you put the first card back in the deck before you draw the second then the probability that the first card is an ace and the second card is a king is 0.59%.

The probability that the first card is an ace and the second card is a king can be calculated as follows,

Initially, divide the expected outcomes by the total possible outcomes

As a deck has a total of 52 cards, the total possible outcomes are considered to be 52

A deck consists of 4 aces and 4 king cards

Hence,

the probability that the first card is an ace = 4 / 52

the probability that the second card is a heart = 4 / 52

The probability that the first card is an ace and the second card is a heart can be determined by multiplying the probability of an ace with the probability of heart,

Probability = (4/52)(4/52)

Probability = 0.0059

Converting into percentage,

Probability = 0.0059 × 100

Probability = 0.59%

Hence the probability that the first card is an ace and the second card is a king is calculated to be 0.59%.

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Answer:

52 pounds

Step-by-step explanation:

52 pounds

The value of the integral ∫c f ds is (√3/2) t₀²

The given integral is  ∫c f ds

where f (x,y,z) = z and c (t) = (t cos t, t sin t, t) for 0 ≤ t ≤ t₀.

To find the integration, we first need to find the derivative of the position vector

r(t) = (t cos t)i + (t sin t)j + tk.

Now, 

r'(t) = cos t i + sin t j + k

Integrating r'(t) between the limits of 0 and t₀, we get

r(t₀) - r(0) = cos t₀ i + sin t₀ j + k - (i + 0 j + 0 k)

= (cos t₀ - 1)i + sin t₀ j + k

= c(t₀) - c(0)

Now, ||r'(t)|| = √(1² + 1² + 1²) = √3

The given integral is∫c f ds = ∫₀^t₀ z √(dx/dt)² + (dy/dt)² + (dz/dt)² dts = ∫₀^t₀ t √3 dt = (√3 t²/2)|₀^t₀ = (√3/2) t₀²

Thus, the value of ∫c f ds is (√3/2) t₀².

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Answer: $43.43

Step-by-step explanation:

Take 9.65 times 4.5 = $ 43.425

Round up; we will get the answer $43.43

Answer:

1, 2, and 3

Step-by-step explanation:

You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.

Answer:

trilobite

Step-by-step explanation:

trilobites are a group of extinct marine arthropods

Answer:

499/36

Step-by-step explanation:

If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36

Answer:

Its B or 13

Step-by-step explanation:

Answer: X=17

Step-by-step explanation:

Answer:

Any number above 17

18 works.

Step-by-step explanation:

18-2 = 16

16 > 15

> means the number on the left is greater.

Hope this helps.

Answer:

4 cm

Step-by-step explanation:

Base 6 cm

Area 12 cm²

Formula:

h_b = 2 A/b

Answer:

ax2+bx+c

Step-by-step explanation:

A-2

B-3

C-1

Answer:

A = 2, B = 3. C = 1

Step-by-step explanation:

A, B, and C correspond to the coefficients of the terms. (ax² + bx + c)

Therefore:

A = 2

B = 3

C = 1

The we can draw a rectangle with length = 2 cm and width = 4 cm.

According to the statement

We have to find that the dimensions of the another rectangle.

So, For this purpose, we know that the

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

From the given information:

The perimeter of a pool is 150 m. The rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. Draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = 25/l = 25/2

Scale factor = l = 2cm

Then Similarly,

50/ w= 50/2

w = 4cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

So, The we can draw a rectangle with length = 2 cm and width = 4 cm.

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The expression as a terminating decimal is 0.2499999....

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

-4/-16

Evaluate the expression by dividing 4 and 16 by 4

So, we have the following representation

1/4

Next, we divide 1 by 4

This gives

0.25

As a repeating decimal, we have

0.2499999....

Hence, the solution is 0.2499999....

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Answer:

Part A

The perimeter of the of the shaded region is (3·π + 6 + 6·(√2)) cm

Part B

\(The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2\)

Step-by-step explanation:

Part A

The perimeter of the the shaded region is given as follows;

The perimeter of the the shaded region = The perimeter of the semicircle + The perimeter of the right triangle with legs 6 cm each - The length of the dotted line

The perimeter of the semicircle = π × r

We note that the diameter of the semicircle, D =  \(\overline{AB}\) = 6 cm

The radius of the semicircle, r = D/2 = 6 cm/2 = 3 cm

∴ The perimeter of the semicircle = π × 3 cm = 3·π cm

The perimeter of the right triangle with legs 6 cm each = The length of the 2 6 cm legs + The length of the hypotenuse side

By Pythagoras' theorem, the length of the hypotenuse side = √(6² + 6²) = 6·(√2) cm

∴ The perimeter of the right triangle = 6 cm + 6 cm + 6·(√2) cm = (12 + 6·(√2)) cm

The length of the dotted line = The the length of side \(\overline{AB}\) of the square from which the right triangle ABC is based

∴ The length of the dotted line = The length of \(\overline{AB}\) = 6 cm

∴ The perimeter of the figure = 3·π cm + (12 + 6·(√2)) cm - 6 cm = (3·π + 6 + 6·(√2)) cm

The perimeter of the of the shaded region = (3·π + 6 + 6·(√2)) cm

Part B

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \(\dfrac{9 \cdot \pi +36}{2} \ cm^2\)

y= 16(0.25)^x

The exponential equation represents an exponential decay because the rate of decay is 0.25 which is less than 1.

The general form equation is:

y(x)= a(1-r)^x such that r is the decay percent.

Comparing two equation we have 1-r = 0.25

==> r= 1-0.25 = 0.75 = 75%

2. y= 0.8(1.8)^x

The equation represents exponential growth because the growth factor is greater than 1.

==> 1+r = 1.8

==> r= 0.8 = 80%

Then, the growth percent is 80%

3. y= 17(1/5)^x

The equation represents exponential decay because 1/5 is less than 1.

==> 1-r = 1/5

==> r= 1- 1/5 = 4/5 = 0.8= 80%

Answer:

15 groups would be made.

Explanation:

150 divided by 10 = 15

Answer:

um that would be 1/15 because you cant simplify  anything like

Step-by-step explanation:

1/3 1/2 1/4 1/5 1/6 1/7 and so on

Step-by-step explanation: the answer is 1\15 you cant simplify anymore then that.

Answer:

the first one:  1:39

the second one: 7:12

the third one: 10:24

Step-by-step explanation:

the short hand points to the hour and the long hand points to the minutes. when the long hand is at 1, that's 5 minutes and when it's at 2, that's 10 minutes and so on and so forth. and each of the little dash marks in between the numbers is 1 minute.

i hope this was correct, i'm not great with time

Question 1:

Question 2:

Question 3:

The simplified result is :

\(4x/x^{2}\) - 1

= 4/x -1

4-x / x.

Factored form, the product of a constant and two linear terms: or. The parameters and are the roots of the function (the x-intercepts of the graph). Converting a quadratic function to factored form is called factoring.

An example for a quadratic function in factored form is y=½(x-6)(x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them.

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Answer:

9x+2

Step-by-step explanation:

the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2

Answer:

first option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = \(\frac{1}{9}\) x - 2 ( add 2 to both sides )

y + 2 = \(\frac{1}{9}\) x ( multiply through by 9 to clear the fraction )

9y + 18 = x

change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = 9x + 18

Current standards indicate that a single subject research design should demonstrate a functional relation between independent and dependent variables with a minimum of three effects.

Single subject research designs, also known as single case experimental designs, are experimental designs commonly used in behavioral sciences to study the effects of interventions or treatments on individuals. These designs involve repeated measurement of the dependent variable under different conditions or phases.

To establish a functional relation between the independent and dependent variables, current standards suggest that a minimum of three effects should be demonstrated. These effects typically consist of a baseline phase, an intervention phase, and a return-to-baseline phase. The baseline phase serves as a control condition where the independent variable is absent or has no effect on the dependent variable. The intervention phase introduces the independent variable, and its effects on the dependent variable are observed.

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Answer:

D

Step-by-step explanation:

when shifting left or right its in parentheses

when shifting left its a + when shifying right its a -

hope this helps <3