с
60 mm
25 mm
What is the length of the hypotenuse?

Answer:

(7x + 5y) (7x - 5y)

Answer:

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

6540 g

Convert kilograms (kg) into grams (g) by multiplying the amount of kilograms (kg) by 1000 :

\(\boxed{\rm{6.45\:kg\:\:\:\:\:\:\:}}\)  times 1,000 --> \(\boxed{\rm{6540\:g\:\:\:\:}}\)

\(\Large\text{6540\:g}\)

\(\small\text{hope\:helpful~}\)

The function f(x) = x² is called  as the quadratic function.

In math the term function is called as the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Here we need to identify the function type of the given function f(x) = x².

As we all know that the polynomial function with one or more variables in which the highest exponent of the variable is two is known as quadratic function.

The general form of the quadratic function is written as,

=>  f(x) = ax² + bx + c

where the value of a ≠ 0.

Based on the general form we have identified that the given function

=> f(x)  = x²

is known as the quadratic function.

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Answer:

Option (3)

Step-by-step explanation:

Value of a car with a depreciation rate 'r' after time 't' is given by the formula,

v(t) = \(v_0(1-\frac{r}{100})^t\)

Here, v(t) = Final value

\(v_0\) = Initial value

r = rate of depreciation

From the given function,

v(t) = \(24893(0.88)^t\)

v(t) = \(24893(1-0.12)^t\)

     = \(24893(1-\frac{12}{100})^t\)

Now we compare this expression with the formula of depreciation.

\(v_0\) = 24893

r = 12%

Therefore, Option (3) will be the answer.

t= 86degree 86+86+30+Qdegre= 360 degree add Q×2 that's all

Answer:

smaller number - 7

greater number - 8

Step-by-step explanation:

let a = smaller number

a + 1 = greater number

the following equation can be derived from the question

(5 x a) = 3 + 4(a + 1)

5a = 3 + 4a + 4

5a = 7 + 4a

5a - 4a = 7

a = 7 = smaller number

a + 1 = 7 + 1 = 8 = greater number

Answer:

x=14

Step-by-step explanation:

you should set up your problem like this:

5x=3x+28

use order of operations aka PEMDAS to solve

you're answer is 14

Answer:

26

Step-by-step explanation:

The upper quartile is the value at the right side of the box, that is

upper quartile = 26

Answer: A. \(4\)

Step-by-step explanation:

Since the points have the same \(y\)-coordinate, take the absolute value of the difference of the \(x\)-coordinates. Doing so yields \(|-4-0|=4\).

The sum of three integers is greater than 9. Assuming all integers same can show that one of the integers must be greater than 3.

The three elements that make up an integer are zero, the natural numbers, and their additive inverse. It can be shown on a number line, but without the fractional portion. Z stands for it.

Given,

Sum of three integers is greater than 9.

Let all the integer be same, then

x + x + x > 9

3x > 9

x > 3

Let take that the three integers are consecutive, then

x+ x + 1 + x +2> 9

3x + 3>9

3x > 6

x> 2

So, the integer must be 3, 4 and 5

Here we can see that one integer must be greater than 3.

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Answer:

thats not a question

Step-by-step explanation:

One bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

William uses 40 milliliters of liquid plant food per week, so to find out how much plant food he needs for 12 weeks, we can simply multiply the weekly usage by the number of weeks:

Amount of plant food needed for 12 weeks = 40 milliliters/week x 12 weeks = 480 milliliters

So, William needs 480 milliliters of liquid plant food for 12 weeks.

Since the bottle of liquid plant food, William purchased contains 0.5 liters or 500 milliliters of liquid plant food, we can see that one bottle is enough for 12 weeks since 480 milliliters is less than the total amount of liquid plant food in the bottle.

In fact, we can calculate how many weeks one bottle of liquid plant food will last William by dividing the total amount of liquid plant food in the bottle by the amount used per week:

Time to use up the liquid plant food = (Total amount of liquid plant food) / (Amount used per week) = 500 ml / 40 ml/week ≈ 12.5 weeks

So, we can say that one bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

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The correct question should be:

William bought a 0.5 -liter bottle of liquid plant food. He uses 40 milliliters each week? How much plant food does William need for 12 weeks? Is one bottle enough for 12 weeks?

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer:

-1 and 5

Step-by-step explanation:

The volume of the right circular cylinder is approximately 14,864.77 cubic meters.

What is the right circular cylinder?

A right circular cylinder is a three-dimensional solid shape that consists of a circular base and a curved side that is perpendicular to the base. The term "right" refers to the fact that the axis of the cylinder is perpendicular to the base, and the term "circular" refers to the shape of the base, which is a circle.

The formula for the volume of a right circular cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder. The formula for the surface area of a right circular cylinder is A = 2πrh + 2πr^2, where r is the radius of the base and h is the height of the cylinder.

Right circular cylinders are commonly used in engineering, architecture, and everyday objects such as cans, pipes, and containers.

The formula for the volume of a right circular cylinder is \(V = \pi r^2h\), where r is the radius of the base and h is the height of the cylinder.

In this case, the radius is 17.2 meters and the height is 15.3 meters.

Plugging in these values, we get:

\(V = \pi (17.2)^2(15.3)\)

V ≈ 14,864.77 cubic meters

Therefore, the volume of the right circular cylinder is approximately 14,864.77 cubic meters.

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Symbolically, they correspond to the relationships between the coefficients of the equations.

A system of 2 linear equations in 2 variables can have one of the following three possible solutions:

One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.

Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:

a1x + b1y = c1

ka1x + kb1y = kc1

where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.

No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.

Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.

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Answer:

Total number of fan = 80,495

Step-by-step explanation:

Given:

Number of fans attended = 77,098

Additional number of fans attended = 3,397

Find:

Total number of fan

Computation:

Total number of fan = Number of fans attended + Additional number of fans attended

Total number of fan = 77,098 + 3,397

Total number of fan = 80,495

Answer:

The answer is -18

Step-by-step explanation:

Actually if the x2 is supposed to be x^2 then it's -10

Answer: -18

Step-by-step explanation:

Answer:

h = 110, k =70°

Step-by-step explanation:

the whole circle has 360° so

h= 360-250 = 110

k= 1/2 (250-110) = 70°

Answer:

6

Step-by-step explanation:

36/6

equals 6

Answer:

6 days.

Step-by-step explanation:

36 total pages

6 page a day

Then:

36/6 = 6

The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

b

Step-by-step explanation:

Answer:A

Step-by-step explanation: We use the 56. 56 should be above x therefore the 180-56 = 124 making the answer A 124.

Main Answer:The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

Supporting Question and Answer:

How do we calculate the volume of a solid bounded by surfaces using triple integration?

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Final Answer:Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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Answer:

3 bags

Step-by-step explanation:

The reason why Jon's lender most likely approved his loan is because;

A: He has been making most payments on time.

There are different reasons why lenders approve money for those who want to borrow but for the sake of this question, we will just access the options.

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Answer:

A

Step-by-step explanation:

Took the test and got it right.

Answer:

1

Step-by-step explanation:

64 divided by 8 is 8 and - 7 is 1 so your answer is one

Answer:

5.7 meterslong and 5.8meters width