Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves​ up, gravity slows it. ​ Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.

a. Find the height of the ball after four seconds

Given that the sum of two numbers is 71 and one number is 27 more than the other, we can set up the following system of equations:

What is the straightforward definition of a system of equations solution?

A collection of values for a variable that simultaneously fulfill each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.

x + y = 71 (equation 1 represents the fact that the sum of the numbers is 71)

y = x + 27 (equation 2 represents the fact that one number is 27 more than the other)

To solve the system of equations, we can use the substitution method. We'll substitute equation 2 into equation 1:

x + (x + 27) = 71

Combining like terms:

2x + 27 = 71

Subtracting 27 from both sides:

2x = 44

Dividing both sides by 2:

x = 22

Now we can substitute x = 22 back into equation 2 to find the value of y:

y = x + 27

y = 22 + 27

y = 49

So the two numbers are x = 22 and y = 49, and they satisfy the given conditions that the sum of the two numbers is 71 and one number is 27 more than the other.

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Answer: As for the inequality question you asked,

-2/3, -11/3, and 2.5 are decimal numbers.

-11/3 is smaller than -2/3 because -3.67 is smaller than -0.67

-2/3 is smaller than 2.5 because -0.67 is smaller than 2.5

So the inequality that correctly orders the numbers -2/3, -11/3, and 2.5 is -11/3 < -2/3 < 2.5

It's worth noting that this inequality uses the less than (<) symbol to show the order of the numbers from the smallest to the largest, and it's also worth to remember that this inequality is true only for these specific values, if any of the values were changed it would've resulted in a different inequality.

Step-by-step explanation:

Answer:

I would say 6 sets

Step-by-step explanation:

Mystery = 5  |  Romance = 8

0                        5

1                         4

2                        3

3                        2

4                        1

5                        0

each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that

....but that's just me personally

Answer:

Step-by-step explanation:

560

Answer:

[(-7)+9]+(+4)=9+[-7+4]

Answer: look up zodiac signs and if that dont work look up ailian signs

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is 2x10-2+6?

2 × 10 - 2 + 6 =                          (remember PEMDAS)

20 - 2 + 6 =

18 + 6 =

24

Answer:

24 should be your answer

Option D) f(x) = |x|, is Correct.

What is parent function?

A parent function is a basic or fundamental function that serves as the starting point for a family or group of related functions. These functions can be obtained by applying a transformation to the parent function, such as shifting, stretching, or reflecting it.

The absolute value parent function is represented by the following function:

D. f(x) = |x|

The absolute value function is defined as |x| = x for x >= 0 and |x| = -x for x < 0. Graph of this function is a V-shape, and it's also known as "the absolute value of x" function. It is a reflection of the linear function f(x) = x across the x-axis and will always have a slope of 1 and a y-intercept of 0.

A. f(x) = x is a linear function, slope is 1 and y-intercept is 0, This is not absolute value function

B. f(x) = 2ˣ is the exponential function, and it is not an absolute value function

C. f(x) = x² is the quadratic function, it's a parabola opening upwards and not an absolute value function

D. f(x) = |x| is the absolute value function, V-shape and it's an example of the absolute value parent function.

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Use synthetic division to divide (3x2 + 7x - 18) by (x - 3).The result of the division is (3x + 5)/(x - 3).

The first step is to write out the dividend and the divisor, and put a 0 in the box below the dividend.

3x2  +7x  -18

x - 3   0

The next step is to divide the divisor into the first term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9

Next, we multiply the divisor by the result from the previous step and subtract it from the second term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9  5

Next, we multiply the divisor by the result from the previous step and subtract it from the third term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9  5  -15

Finally, we divide the last result by the divisor.

3x2  +7x  -18

x - 3   0

3  -9  5  -15  3

The result of the division by synthetic division is (3x + 5)/(x - 3).

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Answer:

=3/11 of (1×3+5/9)÷9/15

=3/11 of (8/9)÷9/15

=3/11 of 8/9÷9/15

=8/33÷9/15

=8/33×15/9

=40/99

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Answer:

Q1. Radius = 3 cm

Diameter = 6 cm

Circumference = 18.84 cm

Area = 28.26 cm²

Step-by-step explanation:

Hello! Let us solve Q.1 together and you can solve Q2 and 3 by how we did in Q1. First, you will need to know what diameter, radius, and circumference means.

Definitions:

Diameter - It is a line that passes through the center of the circle and the line's end (known as endpoints) touches the opposite to each other (basically there are two endpoints).

Radius - It is a line which is half of the diameter.

Circumference - It is the circle.

Now that we know the definitions, let us solve it.

Q1. Radius = 3 cm

Diameter = 6 cm

Circumference = 18.84 cm

Area = 28.26 cm²

Looking at the circle, we are already given the radius which is 3 cm. Now let us find the diameter. We know that the radius is half of the diameter, so we would multiply the radius (3 cm) by 2.

3 × 2 = 6 cm ---> diameter

Lastly let us find the circumference. If you look above the questions, you are given an example and gives you the formula of circumference. We will use that formula to find the circumference of Q1. circle.

Circumference formula:-

[tex]c \: = \: \pi \: \times \: d[/tex]

C = 3.14 × 6

C = 18.84 cm

Same goes with finding the area. You are already given the formula, so you will use it to find the area of Q1.

Area of circle formula:-

[tex]a \: = \: \pi \: \times \: r {}^{2} [/tex]

a = 3.14 × 3²

a = 3.14 × 9

a = 28.26 cm²

Hope this helps and if you need help I would be glad to help you, thank you :) !!

The required number of teams in 3rd year is given as 28 teams.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,

According to the quesiton,
Numbers of team in 2nd year = 20% of 20 + 20

                                             = 0.2 × 20 + 20
                                             = 24 teams

Number of team in 3rd year = 25% of 24 + 24
                                           = 0.25 × 24 + 22
                                           = 28 teams

Thus, the required number of teams in 3rd year is given as 28 teams.

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Answer:

Option A is correct

8.96×10^7

Answer:

D

Step-by-step explanation:

You would multiply the -5 and the -1 from the -5x^4 and the -x^5 this would make 5. Also the 4 and the 5 exponets, since they are exponets you need to add if multiplying so it would just be 4+5=9.

For y its just multiplying the exponets which is y^4xy^4=y^8.

Final answer if you bring everything together is 5x^9y^8 also answer D.

Answer:

5x9y8

Step-by-step explanation:

Multiplying two negatives equals a positive ( - ) × ( - ) = ( + )

Answer:

79°

Step-by-step explanation:

Assuming the diagram need to complete the question is the same as the one attached below,

From the diagram,

∠A+∠B+∠C = 180 (sum of the angles in a triangle is 180)..................... Equation 1

Given: ∠A = 22° (Vertically opposite angles are equal), ∠B = x, ∠C = x

Substitute these values into equation 1

22+x+x = 180

2x+22 = 180

2x = 180-22

2x = 158

x = 158/2

x = 79°

Hence the value of x is 79°

Answer:

79

Step-by-step explanation:

i got it right

A triangle with side lengths 12,16, and 20 is a right triangle.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=20 a=12, b=16 substitute in above formula:

20²=12²+16²

⇒400=144+256

⇒400=400

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Answer:

A

Step-by-step explanation:

The figure that illustrates a reflection in line k is figure A.

We have given that the figure

We have to determine the correct option a reflection in line k.

A reflecting line is a perpendicular bisector. When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.

Therefore option A is correct.

Therefore the figure that illustrates a reflection in line k is figure A.

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Answer:

Use Pythagorean to solve for the missing side.

#4

#5

#6

Answer:

The answer is A.

Step-by-step explanation:

○Lets Angle 1 and the angle with in a linear pair.

○Now we have 53+42+Angle x = 180° (Angle sum property of triangle)

= 53+42+x= 180

= 95+x= 180

= x= 180-95

= x= 85°

○Now that we found x, we can take angel x and angel 1 in linear pair again.

= Angelx + Angel 1= 180° (Linear Pair)

= 85 + Angel 1= 180°

= Angel 1= 180-85

= Angel 1= 95°

Therefore, option A is correct.

There are two steps of solving the equation -3(2x+6)=12.

The steps are given below.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

-3(2x+6)=12

The first step:

Solving the parenthesis first,

-6x -18 = 12

Adding 18 to both sides,

-6x = 30

Divide by -6,

x = -5

The alternate step:

-3(2x+6)=12

Divide by -3,

2x + 6 = -4

2x = -10

x = -5

Therefore, x = -5 is the solution of the equation.

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What are you talking about?

The equation that best represents the line on the first graph is

5x + 3y = 3

Option C is the correct answer.

The equation that best represents the line on the second graph is

x - y = -7

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Pick two coordinates that the line passes through in each graph.

First graph:

(0, 1) and (-3, 6)

m = (6 - 1)/ (-3 - 0) = 5/-3 = -5/3

(0, 1) = (x, y)

1 = (-5/3)0 + c

c = 1

Now,

y = (-5/3)x + 1

3y = -5x + 3

5x + 3y = 3

Second graph:

(0, 7) and (-5, 2)

m = (2 - 7) / (-5 - 0) = -5/-5 = 1

(0, 7) = (x, y)

7 = 1 x 0 + c

c = 7
y = x + 7

x - y = -7

Thus,

The equation of the first graph is 5x + 3y = 3.

The equation of the second graph is x - y = -7.

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An undecidable problem is one for which it has been demonstrated that it is impossible to develop an algorithm that always leads to the correct yes-or-no answer. Two examples are:

The halting problem is the problem of determining whether a computer programme will finish running or continue to run indefinitely based on a description of the programme and an input. Alan Turing demonstrated in 1936 that a general algorithm for solving the halting problem for all possible program-input pairs does not exist.

A "pathological" programme g, when called with some input, can pass its own source and input to f and then specifically do the opposite of what f predicts g will do. This case cannot be handled by any f. A key part of the proof is a mathematical definition of a computer and programme, known as a Turing machine; the halting problem is intractable over Turing machines.

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Answer:

General equation : y = mx + c

2y - 4x = 2

2y = 4x + 2

y = 2x + 1

Therefore m = 2 and c = 1.

The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:

d. θ = 330º + 360ºn, θ = 210 + 360ºn.

The trigonometric equation for this problem is defined as follows:

2sin(θ) + 1 = 0

Then, isolating the sine, we have that:

2sin(θ) = -1

sin(θ) = -1/2.

The values of theta for which the sine is of negative 1/2 are given as follows:

θ = 210º, θ = 330º.

(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.

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Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.

Step-by-step explanation:

Since the the graph is not given it can be identified by the graph passing through the three coordinate points given.

Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).

We have a function that has a y-intercept of -6 and x-intercepts at (2,0) and (6,0).

Since, the graph is not given it cannot be identified clearly what would be the possible graph. But the following points can be concluded -

Any graph passing through the 3 points will be the required graph.

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