how do I create an inequality?

Answer:

6.11 seconds

Step-by-step explanation:

Given

\(f(t) = -4.9t^2 + 28t + 12\)

Required

When will it hit the ground?

When it hits the ground, f(t) = 0.

So, we have:

\(0 = -4.9t^2 + 28t + 12\)

Solve quadratic equation using formula

\(t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

\(t = \frac{-28 \± \sqrt{28^2 - 4*-4.9*12}}{2*-4.9}\)

\(t = \frac{-28 \± \sqrt{1019.2}}{-9.8}\)

\(t = \frac{-28 \± 31.92}{-9.8}\)

Split

\(t = \frac{-28 + 31.92}{-9.8}\) or \(t = \frac{-28 - 31.92}{-9.8}\)

\(t = \frac{3.92}{-9.8}\) or \(t = \frac{-59.92}{-9.8}\)

\(t = -0.4\) or \(t = 6.11\)

Time can not be negative. So:

\(t = 6.11\)

Answer:

D. 30.96 in²

Step-by-step explanation:

The area of the shaded region = area of the the square - area of the circle

= (s²) - (πr²)

s = 12 in

r = radius of circle = ½ of 12 in = 6 in

π = 3.14

Plug in the values into the equation

Area of the shaded region = (12²) - (3.14*6²)

= 144 - 113.04

= 30.96 in²

Answer:

w = 3.39 in

l = 13.56 in

Step-by-step explanation:

46 = w(4w) = 4w²

w² = 11.5

w = 3.39 in

l = 13.56 in

Answer:

76%

Step-by-step explanation:

First do 700 - 168 which is 532

Next we see that 700 is 100% in this scenario

Then we will use the value we seek as ‘x’

So, x% = 532

We can put the two equations, 100%/x% = 700/532

they both have LHS

We can take the inverse from both sides yields

Therefore, the answer is 76%

We can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point known as the centre.

Given is a circle as shown in the image.

The triangles are on the same base BC.

From this we can conclude that -

∠BEC = ∠BAC = ∠BDC

Therefore, we can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.

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The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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Solution

For this case we have the following information:

D = 12m = 12/2 = 6m

h = 9m

And we want to find the surface are so we can use the following formula:

And replacing we got:

Then the final answer is:

565.2 m^2

The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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Answer:

94

Step-by-step explanation:

Answer:

94 is the answer

Step-by-step explanation:

Answewhen x=-2 h(x)=32 when x=-8 h(x)=224

Step-by-step explanation:

Answer:

im gonna say 4 if im wrong its my fault

Answer:

see below

Step-by-step explanation:

7x = 6x-1

Subtract 6x from each side

7x-6x = 6x-6x-1

x = -1

Check

7(-1) = 6(-1) -1

-7 = -6-1

-7  =-7

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).

The measure of ∠T is:

∠T = 42°

In geometry, an angle is the figure formed by two rays (i.e. the sides of the angle) sharing a common endpoint (i.e. vertex).

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

In the given figure, ∠S is vertically opposite ∠T. We know that vertically opposite angles are equal. Thus, we can say:

∠T = ∠S

Since ∠S = 42°

Thus, the measure of ∠T is:

∠T = 42°

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The surface area of the solid is 56m²

Surface area is the amount of space covering the outside of a three-dimensional shape. Therefore the total surface area is the addition of all the areas.

Face 1,

area = l× b

= 4× 2 = 8m²

for face 2,

area = 5× 2

= 10m²

face 3,

area = 1+( 4×3)

= 1+12 = 13m²

face 3 = face 4

therefore, face 4 = 13m²

Face 5,

area = 3×2 = 6m²

Face 6,

area = 2+(2×2)

= 2+4 = 6m²

therefore the total surface area = 10+13+13+6+6+8

= 56m²

therefore the surface area of the solid is 56m²

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The surface area of the solid as shown in teh diagram is 26 m².

The surface area of a three-dimensional object is the total area of all its faces.

To calculate the surface area of the solid, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the surface area is 26 m².

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The shape of the parallelogram with vertices P(−4,0), Q(0,4), R(4,0), and S(0,−4) is a square

In order to get the shape using the vertices that we have, we would have to find the length of the diagonals

We have P(−4,0), Q(0,4), R(4,0), and S(0,−4)

The length of the diagonal PQ is given as:

PQ = \(\sqrt{(0-4)^2+(4-0)^2}\)

= \(\sqrt{32}\)

Next we have to solve for the length of the diagonal RS

RS = \(\sqrt{(4-(-4))^2+(0-(-4))^2\)

RS = \(\sqrt{32}\)

Since PQ = RS we would have to conclude that the shape is a square.

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1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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If we consider  a pair of integers (a b) and the given operations, then the java program that depicts it is as written below.

The program that carries out the required operations on the pair of integers is;

static LinkedList<Pair<Integer,Integer>> pairs = new LinkedList<Pair<Integer, Integer>>();

   public static String isItPossible(Integer a, Integer b, Integer c, Integer d){

       pairs.addLast(new Pair<Integer, Integer>(a,b));

       while (!pairs.isEmpty()){

           Pair<Integer,Integer> pair = pairs.poll();

           Integer key = pair.getKey();

           Integer value = pair.getValue();

           if(key.equals(a) &&

                   value.equals(b)){

               return "YES";

           }

           int sum=key+value;

           if (sum<=c){

               pairs.addLast(new Pair<Integer, Integer>(sum,value));

           }

           if (sum<=d){

               pairs.addLast(new Pair<Integer, Integer>(key,sum));

           }

       }

       return "NO";

   }

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Complete question is;

Consider a pair of integers, (a, b). The following operations can be performed on (a, b) in any order, zero or more times:

• (a, b)(a + b, b)

• (a, b) → (a, a + b)

Return a string that denotes whether or not (a, b) can be converted to to (c,d) by by performing zero or more of the operations specified above. Example

(a, b) = (1, 1)

(c,d) = (5,2)

Perform the operation (1,1 + 1) to get (1, 2), perform the operation (1 + 2, 2) to get (3, 2), and perform the operation (3+2, 2) to get (5,2). Alternatively, the first operation could be (1+1, 1) to get (2, 1) and so on.

Complete the function is possible in the editor below. isPossible has the following parameter(s): int a: first value in (a, b) int b: second value in (a, b) int c: first value in (c,d) int d: second value in (c,d) Returns: str: Return 'Yes' if (a, b) can be converted to (c,d) by performing zero or more of the operations specified above, or 'No' if not Constraints • 1 sa,b,c,ds 1000

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer: integer and rational

Step-by-step explanation:

Answer:

1.61.6 248248

Step-by-step explanation:

(1) D

\(L_s\left\{t\right\} = \displaystyle\int_0^\infty te^{-st}\,\mathrm dt\)

Integrate by parts, taking

\(u = t \implies \mathrm du=\mathrm dt\)

\(\mathrm dv = e^{-st}\,\mathrm dt \implies v=-\dfrac1se^{-st}\)

Then

\(L_s\left\{t\right\} = \displaystyle \left[-\frac1ste^{-st}\right]\bigg|_{t=0}^{t\to\infty}+\frac1s\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{t\right\} = \displaystyle \frac1s\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{t\right\} = \displaystyle -\frac1{s^2}e^{-st}\bigg|_{t=0}^{t\to\infty}\)

\(L_s\left\{t\right\} = \displaystyle \boxed{\frac1{s^2}}\)

(2) A

\(L_s\left\{1\right\} = \displaystyle\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{1\right\} = \displaystyle\left[-\frac1se^{-st}\right]\bigg|_{t=0}^{t\to\infty}\)

\(L_s\left\{1\right\} = \displaystyle\boxed{\frac1s}\)

Answer:

b-2=n

Step-by-step explanation:

Brittany minus 2 years equals Nate's age

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

Answer:

Step-by-step explanation:

1

2

(

1

2

−

6

)

\frac{1}{2}(12k-6)

21​(12k−6)

Simplify

1

Combine multiplied terms into a single fraction

1

2

(

1

2

−

6

)

1

(

1

2

−

6

)

2

2

Multiply by 1

Solution

1

2

−

6

2

1

2

(

1

2

−

6

)

\frac{1}{2}(12k-6)

21​(12k−6)

Simplify

1

Combine multiplied terms into a single fraction

1

2

(

1

2

−

6

)

1

(

1

2

−

6

)

2

2

Multiply by 1

Solution

1

2

−

6

2

pls mark brainliest

The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Answer:

three million twenty eight thousand and two

Step-by-step explanation:

Hope this helps!