x = y, If y=9, then x = 9

what property is this?

Answer: 5.2 years, $5.28

Step-by-step explanation:

Given

The value of a car is given by \(y=24,000\left(0.845\rght)^t\)

Substitute  \(\$10,000\) for \(y\)

\(\Rightarrow 10,000=24,000\left(0.845\right)^t\\\\\Rightarrow \left(0.845\right)^t=\dfrac{5}{12}\\\\\Rightarrow \left(0.845\right)^t=0.41666\\\text{Taking log both sides}\\\Rightarrow t\ln (0.845)=\ln (0.4166)\\\\\Rightarrow t=\dfrac{\ln 0.4167}{\ln 0.845}\\\\\Rightarrow t=5.197\approx 5.2\ \text{years}\)

(b) After 50 years, it is

\(\Rightarrow y=24,000\left(0.845\rght)^{50}\)

\(\Rightarrow y=24,000\times 0.00022\\\Rightarrow y=\$5.28\)

No, this is not a reasonable value as it is more than 4000 times less.

Answer:

X= 7  I'm sure

Step-by-step explanation:

If you want me to expand on the equation leave me a comment :)

Cylinder is a three-dimensional solid, whose circular base and top are parallel to each other. The curved surface area is defined as the area of only curved surface, leaving the circular top and base.

How to determine this

Area of curved surface of a cylindrical vase = 1808.64 square cm

Height = 36 cm

π = 3.14

Radius = ?

To calculate the radius

Area = 2πrh

1808.64 = 2 * 3.14 * r * 36

1808.64 = 226.08r

divides through by 226.08

1808.64/226.08 = 226.08r/226.08

8 = r

So, the radius of the vase = 8 cm

To find the base area of the vase

Base area = \(\pi r^{2}\)

Base area = 3.14 * \(8^{2}\)

Base area = 3.14 * 64

Base area = 200.96 \(cm^{2}\)

Therefore, the radius is 8 cm and the base area is 200.96 \(cm^{2}\)

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Answer:

540 meters per minute, or 9 meters per second

Step-by-step explanation:

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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The equation of the tangent plane to the surface \(z = x^4 + y^4 - 4xy + 2\) at the point (1, 1, 0) can be determined by finding the partial derivatives of the surface equation with respect to x and y.

To find the equation of the tangent plane, we need to determine the partial derivatives of the surface equation \(z = x^4 + y^4 - 4xy + 2\) with respect to x and y. Taking the partial derivative with respect to x, we get \(dz/dx = 4x^3 - 4y\), and taking the partial derivative with respect to y, we get \(dz/dy = 4y^3 - 4x\).

Next, we evaluate these partial derivatives at the point (1, 1, 0). Substituting x = 1 and y = 1 into dz/dx and dz/dy, we obtain dz/dx = 4(1)^3 - 4(1) = 0 and dz/dy = 4(1)^3 - 4(1) = 0.

Since both partial derivatives evaluate to zero at the given point, the equation of the tangent plane can be expressed as z = f(1, 1) + 0(x - 1) + 0(y - 1), where f(1, 1) represents the value of the surface function at the point (1, 1). Simplifying, we have z = f(1, 1).

Therefore, the equation of the tangent plane to the surface z = x^4 + y^4 - 4xy + 2 at the point (1, 1, 0) is z = f(1, 1), where f(1, 1) represents the value of the surface function at (1, 1).

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Answer:

C. Print Nothing

Step-by-step explanation:

For those who don't wanna read

Answer:

The program is going to print nothing because the script does not tell it to say anything other than when the grade (x) is greater than 90.

Therefore,the correct option is 3, print nothing

Answer:

1/15 pie

Step-by-step explanation:

An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!

(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.

you get 1/15. Hope it helps

Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15

Answer:

Its B, 1/15 hope this helps

Step-by-step explanation:

At least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.

A hypothesis is a put-forth explanation for a phenomenon (plural: hypotheses).

A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.

Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

For example, a university's academic planner estimates that at least 35% of all enrolled students attend summer classes. The proper set of hypotheses to use in order to test his theory is H0:p.35 Ha:p.35.

Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory.

A working hypothesis is an accepted theory that has been tentatively supported and is put up for further investigation.

Therefore, at least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.

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The distance between City A and City B is 519.75 miles.

Let d be the distance from City A to City B.

\(t_{AB} = \frac{d}{55}\)

where \(t_{AB}\) is the time taken from City A to City B. And

\(t_{BA} = \frac{d}{45}\)

\(\therefore \frac{d}{55} + \frac{d}{45} = 41-20\)

\(\implies 45d+55d = 21\times 45 \times 55\)

\(\implies 100d = 51975\)

\(\therefore d = 519.75 \text{ miles}\)

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Answer:

Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.

Step-by-step explanation:

Answer:

sdvsdvsvsvdvsdvdvdvd

Step-by-step explanation:

dvdvvvddvdvdvdvdvd

Sin(0)=-7/10

To get the right triangle's known sides, use the sine definition. Each value's sign is determined by the quadrant.

sin(0)=opposite/hypotenuse

Find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.

Adjacent=√hypotenuse²−opposite²

Change the equation's known values with new ones.

Adjacent=√(10)²−(7)²

Inside the radical, simplify.

Raise10the strength of2.

Adjacent=√100−(7)²

Raise−7the strength of2.

Adjacent=√100-49

Multiply −1 by 49.

Adjacent=√100−49

Subtract49 from 100.

Adjacent=√51

Find the cosine value.

Find the value of using the cosine definition.

cos(0).

cos(0)=adj/hyp

Replace with the known values.

cos(0)=√51/10.

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To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.

The value of cos(0) exists √51/10.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous unique trigonometric identities that relate a triangle's side length and angle.

To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.

sin(0) = opposite/hypotenuse

To find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.

Adjacent = √hypotenuse² − opposite²

substitute the values in the above equation, we get

Adjacent = √(10)² − (7)²

Adjacent = √100 - 49

simplifying the above equation, we get

Adjacent = √51

To find the cosine value.

cos(0) = adjacent/hypotenuse

Replace with the known values.

cos(0) = √51/10.

Therefore, the value of cos(0) = √51/10.

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The area of the village green is 3552 square meters.

What is area ?

Area is a measure of the size or extent of a two-dimensional surface. It is the amount of space inside a closed figure or shape, and is typically measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on.

To calculate the area of the village green, we can use Heron's formula which is given as:

\(Area of triangle = \sqrt{(s(s-a)(s-b)(s-c))}\)

where s is the semi - perimeter (half the perimeter) of the triangle, and a, b, and c are the lengths of its sides.

The semi - perimeter of the triangle can be calculated as:

s = (AB + BC + AC)/2

s = (92 + 75 + 105)/2

s = 136

Using this value of s, we can calculate the area of the triangle as:

Area of triangle = \(\sqrt{(136(136-92)(136-75)(136-105))}\)

Area of triangle = \(\sqrt{(136(44)(61)(31))}\)

Area of triangle = \(\sqrt{(12655264)}\)

Area of triangle = 3552

Therefore, the area of the village green is 3552 square meters.

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Answer:

B. at the mall

Step-by-step explanation:

The largest angle formed during his trip is at the mall.

9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

Answer:

exterior angle = 36°

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180°

let x be the exterior angle then interior angle is 4x , then

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus exterior angle = 36°

The equation in slope-intercept form for the line is y = -3/2x + 5.

We have,

In slope-intercept form,

The equation of a line is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis).

Given that the slope is -3/2 and the y-intercept is 5, we can substitute these values into the equation to obtain:

y = -3/2x + 5.

This equation tells us that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 3/2 units.

The y-intercept of 5 indicates that the line passes through the point (0, 5).

Thus,

The equation in slope-intercept form for the line is y = -3/2x + 5.

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Answer:

=6-i+4+2i+2-i

=6+4+2+2i-i-i

=12+2i-2i

=12

Answer:aNSWER IN THE IMAGE

Step-by-step explanation:

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

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

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

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

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

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

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

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

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

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Answer:

Step-by-step explanation:

x

=

−

24

y

=

10

Explanation:

x

+

4

y

=

16

2

x

−

4

y

=

8

Subtract the bottom equation from the top one so the

+

4

y

and

−

4

y

cancel each other out.

−

x

=

24

x

=

−

24

x

+

4

y

=

16

−

24

+

4

y

=

16

4

y

=

40

y

=

10

Answer:

it is B

Step-by-step explanation:

exponent 9 times 9 = 81

since the exponent is 2 multiply 9 x 9 and you get 81