Baseball player hits a ball on an angle of 54° and a height of 4 1/2 feet if the balls initial velocity after being is 152 ft./s if no one catches the ball when will hit the ground

Answers

Answer 1
Hello!

The answer is:

The ball will hit the ground in 7.69 seconds.

Why?

To solve this problem, we need to apply the following projectile motion equation:

[tex]y=vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

To calculate when the ball wil hit the ground, in other words the time of flight, we need to make "y" equal to 0, and considerate the initial height, so, we have:

[tex]0=initialheight+vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

Then, we are given the following information:

[tex]InitialHeight=4.5feet\\\alpha =54\°\\vo=\frac{152ft}{s}[/tex]

Now, substituting and solving, we have:

[tex]-(\frac{1}{2})*\frac{32.15ft}{s^{2}}*t^{2}+\frac{152ft}{s}*sin(54\°)+4.5ft\\\\-16.07\frac{ft}{s^{2} }*t^{2}+122.97\frac{ft}{s}*t +4.5ft=0[/tex]

We have a quadratic equation, where:

[tex]a=-16.07\\b=122.97\\c=4.5[/tex]

Now, using the quadratic equation to find the values of "t" , we have:

[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex]

Substituting we have:

[tex]\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.0)*(4.5)} }{2*(-16.07)}\\\\\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.07)*(4.5)} }{2*(-16.07)}=\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}\\\\\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}=\frac{-122.97+-(124.14)}{-32.14}[/tex]

[tex]t_1=\frac{-122.97+124.14}{-32.14}=-0.04\\\\t_2=\frac{-122.97-124.14}{-32.14}=7.69[/tex]

Therefore, since the time cannot be negative, we have to discard "t1", so, the answer is: 7.69 seconds

Hence, the ball will hit the ground in 7.69 seconds.

Have a nice day!

Answer 2

Answer:

7.72 s

Step-by-step explanation:

I got the question wrong when I put 7.69 and saw that this was the correct answer.


Related Questions

Select all the equations where c=9 is a solution. Choose 2 answers:

A. 4 - c =5

B. 20 = 14 + c

C. 15 = c - 6

D. C/3 = 3

E. 36 = 4c

Answers

Answer is D and E

Since 9 divided by 3 is three it would be correct and 4 multiplied by 9 is E would be correct. The others just don’t add up.

The equation where c = 9 should be option D and option E.

Given information:

C = 9

Equation selection:

If [tex]C \div 3 = 3\\\\[/tex]

So this should be correct as 3 = 3

And,

36 = 4c

c = 9

Learn more about the equation here: https://brainly.com/question/18715058

Find ac. round the answer to the nearest tenth.
a. 0.8
b. 1.5
c. 1.7
d. 2.1

Answers

Answer:

b. 1.5 hope it helps

change
4/5 to a percent​

Answers

Answer:

80%

Step-by-step explanation:

4/5 is equal to 0.8, and 0.8 is equal to 80%

Answer:

[tex]\large\boxed{\dfrac{4}{5}=80\%}[/tex]

Step-by-step explanation:

[tex]n\ to\ a\ percent:\ n=n\cdot100\%\\\\======================\\\\\dfrac{4}{5}=\dfrac{4}{5}\cdot100\%=\dfrac{400}{5}\%=80\%[/tex]

I need help please????

Answers

Answer:

(2, 2)

Step-by-step explanation:

To determine which ordered pair is a solution to the equation.

Substitute the x- coordinate into the left side and the y- coordinate into the right side and if both sides are equal then that is the solution.

(2, 2)

3 × 2 = 6 and 8 - 2 = 6 → hence (2, 2) is a solution

(8, 0)

3 × 8 = 24 and 8 - 0 = 8 → hence (8, 0) is not a solution

(3, 1)

3 × 3 = 9 and 8 - 1 = 7 → hence (3, 1) is not a solution

A nature preserve has a population of fourteen black bears. They have been tagged #1 through #14, so they can be observed over time. Two of them are randomly selected and captured for evaluation. One is tested for worms and one is tested for ticks. What is the probability that bear #3 is tested for worms and bear #5 is tested for ticks?

Answers

Answer:

1/182 or 0.55%

Step-by-step explanation:

There are 2 ways to approach this problem (and both give the same answer!).

First method: probability for each test.

First test, worms: There's 1/14 chances for bear #3 to be selected, since there are 14 bears total.

Second test, ticks: There's 1/13 chances for bear #5 to be selected, since only 13 bears remain (#3 cannot be tested for both ticks and worms).

So, to obtain the total probability, we multiply 1/14 with 1/13 = 1/182

Second method: permutations

We can see the problem from a permutations perspective.  How many permutations can we have for 2 bears to be tested? It's a permutation since the order is important. (#3 ticks + #5 worms ≠ #3 worms + #5 ticks)

[tex]P(14,2) = \frac{14!}{(14 - 2)!} = 182[/tex]

There are 182 permutations possible, ONE of which is bear #3 is tested for worms and bear #5 is tested for ticks.

So, once again, 1/182.

PLEASE HELP!! The line plot shows the amount of liquid fertilizer used on nine plants. What is the total amount of liquid fertilizer used?

Answers

Answer:

4 3/4 or 19/4

Step-by-step explanation:

To answer this question, you must add the values of all of the x's on the line plot. There is 1 x on 1/4 and 2 x's on 3/8. So, add 1/4 + 3/8 + 3/8 to get 1. Next, there are 3 x's on 1/2. So, add 1 + 1/2 + 1/2 + 1/2 to get 2 1/2. Lastly, there's 1 x on 5/8, 1 x on 3/4, and 1 x on 7/8. So add 2 1/2 + 5/8 + 3/4 + 7/8 to get  4 3/4 of 19/4 as your final answer. I hope this helps!!!

Circle A is tangent to circle B.
True
False

Answers

Answer:

false

Step-by-step explanation:

tangent always touch to the circle

so....

Answer:

False

I got it right!!

Step-by-step explanation:

In a T-test, if your n=459, your DF is:

A. 459
B. 460
C. 458
D. A&C

Answers

Answer:

DF = 458

Step-by-step explanation:

In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.

The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;

DF = n - 1

where n is the sample size

Given n is 459, DF = 459 - 1 = 458

Therefore, DF = 458

Convert the complex number z = 4 - 10i from rectangular form to polar form.​

Answers

ANSWER

[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]

EXPLANATION

The polar form of a complex number ,

[tex]z = x + yi[/tex]

is given by:

[tex]z = r( \cos( \theta) + i \sin( \theta) )[/tex]

where

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

The given complex number is:

[tex]z = 4 - 10i[/tex]

[tex]r = \sqrt{ {4}^{2} + {( - 10)}^{2} } [/tex]

[tex]r = \sqrt{16 + 100} [/tex]

[tex]r = \sqrt{116} = 2 \sqrt{29} [/tex]

And

[tex]\theta= \tan^{ - 1}(\frac{ y}{x} )[/tex]

[tex]\theta= \tan^{ - 1}(\frac{ - 10}{4} )[/tex]

[tex]\theta= 292 \degree[/tex]

Hence the polar form is :

[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]

Please help with math problem

Answers

Answer:

[tex]a_0 = -6[/tex]

[tex]a_1=8[/tex]

[tex]x^2 +y^2 -6x + 8y = 0[/tex]

Step-by-step explanation:

The equation of the circle has the following form

[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]

The equation of the circle has the following form

We know that the circle goes through the following points

(0, 0)

(6, 0)

(0, -8).

Then we substitute the values of x and y in the equation

For (0, 0)

[tex]0^2 + 0^2 + a_0(0) + a_1(0)=0[/tex]

[tex]0=0[/tex]

For  (6, 0)

[tex]6^2 + 0^2 + a_0(6) + a_1(0)=0[/tex]

[tex]36 + 6a_0=0[/tex]

[tex]a_0 = -\frac{36}{6}\\\\a_0 = -6[/tex]

For (0, -8)

[tex]0^2 + (-8)^2 + a_0(0) + a_1(-8)=0[/tex]

[tex](-8)^2 - 8a_1=0[/tex]

[tex](-8)^2 = 8a_1[/tex]

[tex]a_1=8[/tex]

Finally the equation is:

[tex]x^2 +y^2 -6x + 8y = 0[/tex]

Which is the factorization of x3 + 8?
(x + 2)(x2 – 2x + 4)
(x – 2)(x2 + 2x + 4)
(x + 2)(x2 – 2x + 8)
(x – 2)(x2 + 2x + 8)

PLEASE HELP

Answers

Answer:

The factorization of [tex]x^{3}+8[/tex] is [tex](x+2)(x^{2} -2x+4)[/tex]

Step-by-step explanation:

The problem is a sum of cubes factorization, this type of factorization applies only in binomials of the form [tex](a^{3} +b^{3} )[/tex] which means numbers that have exact cubic root and the exponents of the letters a and b are multiples of three.

Sum of cubes equation

[tex](a^{3} +b^{3} )= (a+b)(a^{2} -ab+b^{2})[/tex]

So, let's factor [tex]x^{3}+8[/tex]

we have to bring the equation to the form [tex](a^{3} +b^{3} )[/tex]

[tex]x^{3}+8=x^{3}+2^{3}[/tex] con [tex]a=x[/tex] y [tex]b=2[/tex]

Solving using sum of cubes equation

[tex](x^{3} +2^{3} )= (x+2)(x^{2} -(x)(2)+2^{2})[/tex]

[tex](x^{3} +2^{3} )=(x+2)(x^{2} -2x+4)[/tex]

.

Answer:

a: (x+2)(x^2-2x+4)

Step-by-step explanation:

i just did on edgen 2020

a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?

Answers

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

identify the vertex, the axis of symmetry and the y intercept of the parabola below.
please.​

Answers

1,2 cause of the o and y axis

The vertex is where the parabola changes directions, or in simpler terms, at the parabolas lowest point. Unless the parabola is upside down, then the vertex is where the highest point is.

The acid of symmetry is the line where the parabola can be divided evenly. This is almost always where the vertex is, except it continues on.

The y-intercept is where the parabola intersects with the y-axis.

I’ve answered the question below in the picture (my graph is not to scale but the answers are correct for yours)

Hope this helped and good luck!!

Mack wants to calculate the circumference of a circle with a radius of 7 centimeters.

Answers

So C= dxpi or rx2xpi= c in this case 7x 2 = 14 is diameter do E D and A finds the diameter and the rest do not

5a+9b-4. What is
the coefficient

Answers

The coefficient of 'a' is 5.

The coefficient of 'b' is 9.

The coefficient of the constant term '-4' is -4 (or you can think of it as -4 times '1').

The coefficient in the expression 5a + 9b - 4 is the number that multiplies or is associated with a variable. In this expression:

The coefficient of '5a' is 5.

The coefficient of '9b' is 9.

The constant term '-4' does not have a variable and can be considered as a coefficient of '1' for the constant.

So, in summary:

The coefficient of 'a' is 5.

The coefficient of 'b' is 9.

The coefficient of the constant term '-4' is -4 (or you can think of it as -4 times '1').

for such more question on coefficient

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Final answer:

In the expression 5a+9b-4, 5 and 9 are the coefficients, representing the magnitude and direction of the variables 'a' and 'b'. The '-4' is a constant.

Explanation:

In the algebraic expression 5a+9b-4, the coefficients are the numbers in front of the variables. So in this case, 5 is the coefficient of a and 9 is the coefficient of b. A coefficient provides information about the magnitude and direction of a certain variable. In the absence of a variable, such as with the -4 in this expression, we don't refer to it as a coefficient, but rather as a constant.

Learn more about Coefficients here:

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I. You withdraw $17 from your account. II. A running back loses 17 yards in a game. III. The temperature rises 17 degrees. The integer -17 would BEST represent which of these events? A) I only B) III only C) I and II only D) II and III only

Answers

Withdrawing money from an account is a negative value, losing yards in a game would also be a negative value.

A rise in temperature would be a positive value.

Both 1 and 2 could be written as -17.

The answer is C.

Find the area of this regular polygon.
Round to the nearest tenth.

Answers

Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.

To find the area of the regular pentagon, we can use the formula:

Area = (5/2) * s * r

Where s is the length of one side of the pentagon and r is the distance from the midpoint of the pentagon to one of its vertices.

We are given that s = 8.37 cm and r = 8.37 cm.

Plugging these values into the formula, we get:

Area = (5/2) * 8.37 * 8.37

Area = (5/2) * 70.0569

Area = 175.14225

Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.

which expression can be used to find the value of x?

• (sin 29°)(sin 42°)
____________
9

• 9(sin 42°)
_______
sin 29°


• 9(sin 29°)(sin 42°)


• 9(sin 29°)
________
sin 42°

Answers

Answer:

• 9(sin 42°)

_______

sin 29°

Step-by-step explanation:

The value of x is calculated by the sine rule is 9(sin 42°)/sin 29°. Then the correct option is B.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a triangle.

We know that the sine rule is given as

[tex]\rm \dfrac{a}{sin A} =\dfrac{b}{sin B}=\dfrac{c}{sin C}[/tex]

Then put the values and we have

[tex]\begin{aligned} \rm \dfrac{x}{sin 42^o} &= \rm \dfrac{9}{sin 29^o}\\\\\\\rm x &= \rm \dfrac{9*sin 42^o}{sin 29^o} \end{aligned}[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

what is 1 2/5 + 2 3/10

Answers

Answer: 3 7/10

Solution by separating parts

Let's rewrite our equation with the parts separated

= 1 + 2/5 + 2 + 3/10

Now, let's add the whole numbers

1 + 2 = 3

Now, let's figure out how to solve the fraction parts

2/5 + 3/10 = ?

You'll need to find the LCD (Lowest Common Denominator) of 2/5 and 3/10.

If you don't know, the LCD is 10

Since 3/10 already has a denominator of 10, we don't need to do anything with it.

However, we need to multiply the numerator and denominator of 2/5 by 2

Why? We need the LCD, which is 10. Also, we can only add fractions if they have the same denominators

Numerator: 2 x 2 = 4

Denominator: 5 x 2 = 10

Fraction: 4/10

Now add the fractions

4/10 + 3/10 = 7/10

Finally, combine the whole numbers with the fractions

3 + 7/10 = 3 7/10

PLEASEEE ANSWER!!!!!!! Ali must choose a shirt, a pair of pants, and a cap for today's outfit. He has
2 shirts,
3 pairs of pants, and
2 caps to choose from. How many different outfits can he make?

Answers

Answer:

12

Step-by-step explanation:

He can take one of the 2 shirts, so he has 2 choices.

He can take any one of the 3 pair of pants, so he has 3 choices.

He can choose any one of the 2 caps he has, thus he has 2 choices.

To find the number of different outfits possible, we simply multiply the number of choices available for each.

2 * 3 * 2 = 12 different outfits

Answer:

he can only make 2 outfits and have 1 pair of pants and one cap left byebye tell me if i am rightor wrong plz

stay safe

Step-by-step explanation:

What are the x-intercepts of y=x^2+2x-15

Answers

Answer:

[tex](-5,0)[/tex] and [tex](3,0)[/tex]

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

[tex]y=(x+5)(x-3)[/tex]

To find the x-intercepts, plug in 0 for [tex]y[/tex].

[tex](x+5)(x-3)=0[/tex]

Since we are multiplying, at least one of the terms has to equal 0.

[tex]x+5=0 \\ x-3=0 \\ \\ x=-5,3[/tex]

So the x-intercepts are [tex](-5,0)[/tex] and [tex](3,0)[/tex].

The total weight of 15 boxes is 45 pounds. How much would 40 boxes
weigh?

Answers

Answer:

120 pounds

Step-by-step explanation:

1. divide 45 by 15

45 / 15 = 3

2. Each box costs 3 pounds each

3. multiple 3 by 40.

4. 40 x 3 = 120

15 POINTS, WILL GIVE BRAINLIEST: simplify x^-4 y^-4 z^-1 * 2yx^3 z^-3 using properties of exponents.

Answers

2\xy³z⁴ is the simplification.

PLZ HELP!! PLZ SHOW WORK AND EXPLAIN

Answers

Answer:

50 miles

Step-by-step explanation:

Addition:

7/8 + 9/4 = 7/8 + 18/8 = 25/8 inches.

Now we have to convert to miles:

25/8 inches *16

Answer = 50 miles.

Which values are with in the range of the piecewise defined function?

Answers

Answer:

The range of the piecewise defined function is:

                  y= -6 , y= -4 , y= -3 , y=0

Step-by-step explanation:

The piecewise function is defined by:

f(x)  =    2x+2   when  x < -3

              x       when  x = -3

  and  -x-2      when  x > -3

when x < -3

Then the graph of the function is a strictly increasing function and is a line with a slope of 2.

The function increases continuously from -∞ to -4

i.e. it takes all the value in the interval (-∞,-4)

There is a open circle at (-3,-4)

Also, at x= -3 the value of function is : -3For x > -3

The graph of the function f(x) is strictly decreasing .

Since the graph is a line with slope -1.

Also, there is a open circle at (-3,1)

and the function starts decreasing continuously and will take all the values strictly less than 1.

i.e. the range for x > -3 is:  (-∞,1)

The range of the whole function f(x) is:

                            (-∞,1)

How many solutions are there to the equation below 9x+16=4x

Answers

Answer:

one solution

Step-by-step explanation:

9x+16=4x

16=4x-9x

16/-5=x

x=-3.2

What’s one way to check the answer to 5x6=30?

Answers

Answer:

5 + 5 + 5 + 5 + 5 + 5 = 30

6 + 6 + 6 + 6 + 6 = 30

5 = 30 ÷ 6

6 = 30 ÷ 5

Write an expression to represent . Eight less than the product of two and a number x

Answers

The answer is 2x-8 where “the product of two and a number” is the 2x and 8 less is to subtract 8 from the 2x so your answer is 2x-8
Final answer:

The phrase 'Eight less than the product of two and a number x' translates to the algebraic expression 2x - 8.

Explanation:

The student's question is about writing an algebraic expression to represent a phrase. In this case, 'Eight less than the product of two and a number x' can be translated into algebraic expression. The 'product of two and a number x' is simply, 2x. 'Eight less than' is subtracting 8 from something. Therefore, this phrase is written as 2x - 8 in algebraic expression.

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PLEASE HELP ME ASAP !!!!​

Answers

Answer:

Same:

A 50% decrease followed by a 100% increase.

A 33 1/3% decrease followed by a 50% increase.

Less:

A $25 increase followed by a $30 decrease.

A 20% increase followed by a 25% decrease.

Greater:

An 80% increase followed by a 40% decrease.

IN ORDER TO FIGURE OUT THE ANSWER CHOOSE A NUMBER AND APPLY WHAT IT IS TELLING YOU. FOR EX: on #1: I chose the number 100 then multiplied it by 1.8 then multiplied that number by 0.6 to get 108 which is greater than 100

80% increase followed by 40% decrease=greater

50% decrease follow by 100% increase=greater

20% increase followed by a 25% decrease=less

$25 increase followed by $30 decrease= less

33 1/3% decrease followed by 50% increase= same

please help answer all please!!!!The graph below represent a trip taken by bicycle. Use the graph to answer questions


11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________

12. During which labeled section was he traveling the slowest? _______

13. During which labeled section was he traveling the fastest? ______

14 Calculate the speed of the cyclist during section D _______

15. How far away was the cyclist when he turned around and headed home? _______

Answers

Answer:

Part 11) The cyclist stops for a time during the section B

Part 12) He traveling slowest in section A

Part 13) He traveling fastest in section C

Part 14) The speed in section D is 20 km/h

Part 15) The cyclist was 60 km from home when he turned around

Step-by-step explanation:

we know that

The speed is the ratio of the distance by the time

s=d/t

The slope of the graph is equal to the speed of the cyclist

Part 11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop?

The cyclist stops for a time during the section B

Because, during section B the distance is a constant (d=30 km)

therefore

The speed is equal to zero (Remember that the slope of a horizontal line is equal to zero)

Part 12. During which labeled section was he traveling the slowest?

Find the slope (speed) in each section

Find the slope in section A

Let

A(0,0) and B(4,30)

the slope is equal to

m=(30-0)/(4-0)=7.5 km/h

Find the slope in section B

Is a horizontal line

therefore

the slope is equal to

m=0 km/h

Find the slope in section C

Let

C(6,30) and D(7,60)

the slope is equal to

m=(60-30)/(7-6)=30 km/h

Find the slope in section D

Let

E(7,60) and F(10,0)

the slope is equal to

m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around

therefore

He traveling slowest in section A

Part 13. During which labeled section was he traveling the fastest?

Remember part 12)

Slope in section C

Let

C(6,30) and D(7,60)

the slope is equal to

m=(60-30)/(7-6)=30 km/h ----> is the greater slope

therefore

He traveling fastest in section C

Part 14. Calculate the speed of the cyclist during section D

Remember part 12)

Slope in section D

Let

E(7,60) and F(10,0)

the slope is equal to

m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around

therefore

The speed in section D is 20 km/h

Part 15. How far away was the cyclist when he turned around and headed home

Observing the graph

we know that the cyclist turned around at point (7,60)

therefore

The cyclist was 60 km from home when he turned around

Other Questions
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