A ball is thrown vertically in the air with a velocity of 100ft/s. Use the projectile formula h=−16t2+v0t to determine at what time(s), in seconds, the ball is at a height of 150ft

Answers

Answer 1

Answer:

Step-by-step explanation:

2.5, 3.8

Answer 2
Final answer:

To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve the quadratic equation -16t^2 + 100t = 150. By using the quadratic formula, we find two possible values for t: t = 3.75 seconds and t = 2.5 seconds.

Explanation:

The equation given in the question is h = -16t2 + v0t, where h is the height, t is the time, and v0 is the initial velocity. To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve for t.

150 = -16t2 + 100t

Rearranging the equation, we get 16t2 - 100t + 150 = 0. This is a quadratic equation which can be solved using the quadratic formula.

The quadratic formula is t = (-b ± √(b2 - 4ac)) / (2a). In this equation, a = 16, b = -100, and c = 150.

Plugging in these values, we get t = (100 ± √(1002 - 4 * 16 * 150)) / (2 * 16).

Simplifying further, we have t = (100 ± √(10000 - 9600)) / 32.

This simplifies to t = (100 ± √400) / 32.

Taking the square root, we get t = (100 ± 20) / 32.

This gives us two possible values for t: t = (100 + 20) / 32 = 120/32 = 3.75 and t = (100 - 20) / 32 = 80/32 = 2.5.

Therefore, the ball is at a height of 150ft at two times: t = 3.75 seconds and t = 2.5 seconds.


Related Questions

Your text suggests that you look for an agent who has been in the insurance business for how long?

A. Less than 1 year
B. At least 5 years
C. At least 2 years
D. At least 1 year

Answers

I think it’s D good luckk

what is the difference between 330 and -282

Answers

Answer: the correct answer would be 48

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer would be 48 i hope this helped and hope you are having a great day

solve the system of equations by substitution: y = x - 2
x+y=12

Answers

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

Find the value of x.

Answers

You have to use trigonometry as it is a right angle triangle
Because the hypotenuse(12 cm) is given and you need to find x which is the opposite side you have to use sin
so sin 30 = opposite side/hypotenuse
sin 30 = x/12
12*sin 30 = x
(sin 30 is equal to 1/2)
12*1/2 = x
x = 6

Answer:

x = 6

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x, that is

sin30° = [tex]\frac{AB}{AC }[/tex] = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × sin30° = x, hence

x = 6

The Three Stooges (Larry, Moe, and Curly) and the four Marx Brothers (Chico, Harpo, Groucho, and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be Moe, Larry, and Curly in that order?

Answers

Answer:

[tex]\frac{1}{210}[/tex]

Step-by-step explanation:

We can use the probability that one person will be assigned to one place.

For the first place in line, what is the probability that Moe will stand there?

[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.

Then, for the second place in line, what is the probability that Larry will stand there?

[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.

Finally, for the third place in line, what is the probability that Curly will stand there?

[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.

To find the probability that they'll stand in that order, we can multiply the probabilities together.

[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]

what is the y-value when x equals 25? y= 650 - 15(x)

Answers

Answer:

y= 275 when x is 25

solve for x:4x-2>6x+8

Answers

Answer:

The second option

Step-by-step explanation:

4x - 2 > 6x + 8

add 2 to both sides

4x - 2 + 2 > 6x + 8 + 2

2 cancel -2 and it remains

4x > 6x + 10

Now, subtract 6x from both sides

4x -6x > 6x -6x + 10

it remains

-2x > 10

divide via by -2

x > 10/-2

x < -5

When you multiply or divide by a negative, the inequality sign changes

Please mark as brainlest and have a good night.

Answer:

x < −5

Step-by-step explanation:

all about easy points here

Answers

Answer:

90

Step-by-step explanation:

The formula for right triangular prisms is simple; 1/2 × a × b × c. So simply plug in your numbers (doesn't matter the order you plug in).

1/2 × 12 × 5 × 3 = 90

Answer:90

Step-by-step explanation:

the ratio of boys to girls is 4:5. if there are 125 girls, what is the total number of students.

Answers

Answer:

5n=1125

n=225 students in the school.

Answer:

The answer is 225.

Step-by-step explanation:

The explanation is in the top.

What is X intercept of the graph of the function F(x) =x^2-16+64

Answers

Answer:  [tex]x=8[/tex]

Step-by-step explanation:

Given the quadratic function  [tex]0=x^2-16+64[/tex], you need to follow these steps:

 1. You must substitute [tex]f(x)=0[/tex] into the function:

[tex]0=x^2-16+64[/tex]

2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.

These numbers are: -8 and -8.

Since the root appears twice, it is a "Double root". Then:

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

Write an equation in point-slope form for the line through the given point with the given slope
(9,-1) ; m=4/5

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{4}{5}[/tex] and (a, b) = (9, - 1), hence

y - (- 1) = [tex]\frac{4}{5}[/tex](x - 9), that is

y + 1 = [tex]\frac{4}{5}[/tex](x - 9) ← in point- slope form

What is the middle term in the simplified product for (x + 3)(x – 4)

Answers

Answer:

-x

Step-by-step explanation:

You can distribute:

(x + 3)(x – 4)

x (x + 3) – 4(x + 3)

x² + 3x – 4x – 12

x² – x – 12

Or you can use FOIL (first, outer, inner, last).

(x + 3)(x – 4)

x² – 4x + 3x – 12

x² – x – 12

Question 7 of 47
1 Point
What is the equation of a line with a slope of 1/2 that passes through the point,
(-2,5)?
O A. 1/2x+3
O B. Y=1/2x+5
O C. y=x+5
O D. y=1/2x+6

Answers

Answer:

Option D [tex]y=\frac{1}{2}x+6[/tex]

Step-by-step explanation:

we know that

The equation of a line into slope point form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex](x1,y1)=(-2,5)[/tex]

[tex]m=\frac{1}{2}[/tex]

substitute

[tex]y-5=\frac{1}{2}(x+2)[/tex]

Convert to slope intercept form

[tex]y=\frac{1}{2}x+1+5[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

Using Cramer's Rule, what is the value of x in the system of linear equations below?
3x + 4y = 12
x-6y=-18

Answers

Answer:

0

Step-by-step explanation:

We find the determinant of a matrix by the method below. If we have a matrix:

[tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

The determinant is [tex]ad-bc[/tex]

Now, using cramer's rule, we find x-value by the formula:

[tex]x=\frac{D_x}{D}[/tex]

Where D is the determinant of the original problem and [tex]D_x[/tex] is the determinant of the x-value matrix. How do we get those?

To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus [tex]D_x[/tex], we replace the x values of the matrix with the numbers in the right hand side of the 2 equations. We show this below:

To get D:

[tex]\left[\begin{array}{cc}3&4\\1&-6\end{array}\right] \\D=(3)(-6)-(1)(4)=-18-4=-22[/tex]

To get [tex]D_x[/tex]:

[tex]\left[\begin{array}{cc}12&4\\-18&-6\end{array}\right] \\D_x=(12)(-6)-(-18)(4)=0[/tex]

Putting into the formula, we get:

[tex]x=\frac{D_x}{D}=\frac{0}{-22}=0[/tex]

Thus, the value of x is 0

For the equation 3x + y = 5. If x = 1, what is the
value of y?

Answers

Everywhere you see x in the equation replace it with 1 like so...

3(1) + y = 5

3 + y = 5

Finish isolating y. To do this first subtract 3 to both sides (what you do on one side you must do to the other). Since 3 is being added, subtraction (the opposite of addition) will cancel 3 out (make it zero) from the left side and bring it over to the right side.

3 - 3 + y = 5 - 3

0 + y = 2

When x is 1 then y is 2

Check:

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y=2

Step-by-step explanation:

3x + y =5

3(1) + y = 5

3 + y = 5

5-3= y which is 2

Solve for the varaiables shown in the steps simplifying the expression below:

25 ⋅ 84
16
=
25 ⋅ (2a)4
24
=
25 ⋅ 2b

Answers

Answer:

a=3

b=12

c=13

Step-by-step explanation:

(see attached)

The value of 'a' is 3, 'b' is 12, and 'c' is 13 and this can be determined by using the arithmetic operations.

Given :

Expression -  [tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}=2^c[/tex]

The value of a, b, and c can be determined by following the below calculations:

[tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}[/tex]

Further, simplify the above expression:

[tex]\dfrac{2^5\times (2^3)^4}{2^5}=\dfrac{2^5\times (2^a)^{4}}{2^4}[/tex]

the above equation holds good when the value of 'a' is 3.

[tex]\dfrac{2^5\times 8^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}[/tex]

Further, simplify the above expression:

[tex]\dfrac{2^5\times 2^{12}}{2^5}=\dfrac{2^5\times 2^b}{2^4}[/tex]

the above equation holds good when the value of 'b' is 12.

[tex]\dfrac{2^5\times 2^{12}}{2^5}=2^c[/tex]

Further, simplify the above expression.

[tex]\dfrac{2^{17}}{2^4}=2^c[/tex]

[tex]2^{13}=2^c[/tex]

the above equation holds good when the value of 'c' is 13.

For more information, refer to the link given below:

https://brainly.com/question/20595275

In the circle graph, what is the measure of the central angle for corn?

Round your answer to the nearest whole number

Answers

multiply the percentage of the corn by 360 degrees

15% × 360° = 54°

Answer:

54°

Step-by-step explanation:

In the given pie chart which shows variation of vegetable.

Pie chart is a circular. Complete angle of circular is 360°.

100% of pie chart is equal to 360° of central angle.

Here, we need to find the central angle of corn.

In graph, corn is only 15%

 100% of central angle = 360°

   1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]

15% of central angle  [tex]=\dfrac{360^\circ}{100}\times 15[/tex]

                                  [tex]=54^\circ[/tex]

Hence, The central angle of corn is 54°

Which expression is equivalent to ?

Answers

Answer:

Your answer would be A

Step-by-step explanation:

First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x

Answer:

FIRST OPTION.

Step-by-step explanation:

Given the expression [tex]\sqrt{\frac{2x^5}{18}}[/tex], you can find an equivalent expression simplifying.

The first step is to descompose 18 into its prime factors:

[tex]18=2*3*3=2*3^2[/tex]

Remember the Product of powers property, which states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then you can rewrite the expression in this form:

 [tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

Knowing that [tex]\sqrt[n]{a^n}=a[/tex], you get the following equivalent expression:

[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

[tex]\frac{x^2}{3}\sqrt{\frac{2x}{2}}[/tex]

[tex]\frac{x^2\sqrt{x}}{3}[/tex]

Which option shows a graph of 3y+18>5x

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3y+18 > 5x[/tex]

The solution of the inequality is the shaded area above the dashed line

The equation of the dashed line is  [tex]3y+18=5x[/tex]

The slope of the dashed line is positive (m=5/3)

The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)

The y-intercept of the dashed line is (0,-6) (value of y when x is zero)

therefore

using a graphing tool

The graph in the attached figure

Ajar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch.
What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

Answer: 20%

Step-by-step explanation:

There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.

Which is the graph of f(x) = log3x?

Answers

Logarithm functions are the inverses of exponential function.In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

Given-

The function given in the question is,

[tex]f(x)=log_3x[/tex]

What is logarithm function?

Logarithm functions are the inverses of exponential function.

To plot the graph of the given function we have to find the asymptotes;

vertical asymptote  [tex]x=0[/tex]

Find the points at [tex]x=1[/tex]

[tex]f(0)=log_3(0)[/tex]

[tex]f(0)=0[/tex]

Find the points at [tex]x=3[/tex]

[tex]f(3)=log_3(3)[/tex]

[tex]f(0)=1[/tex]

Find the points at [tex]x=9[/tex]

[tex]f(9)=log_3(9)[/tex]

[tex]f(9)=2[/tex]

Hence, the points for the given function are (1,0) (3,1) and (9,2).

In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

Learn more about the Logarithm functions, here;

https://brainly.com/question/13473114

What is the solution set for X-3>1?

Answers

Answer:

x > 4

Step-by-step explanation:

X-3>1

Add 3 to each side

X-3+3>1+3

x > 4

Hello :D

Answer:

[tex]\boxed{x>4}\checkmark[/tex]

Step-by-step explanation:

First, you add by 3 from both sides of an equation.

[tex]x-3+3>1+3[/tex]

Then, add the numbers from left to right.

[tex]1+3=4[/tex]

[tex]\boxed{x>4}[/tex], is the correct answer.

Hope this helps you!

Have a wonderful day! :D

-Charlie

63. Mrs. Beusse needs to buy more pencils for our classroom because they are always mysteriously
disappearing. Based on the chart from the office supply catalog, how much will it cost her to buy 100
pencils personalized with her name on it?
Number Cost
of
Pencils
1-20
21 - 40
41-60
61 - 80
81 - 100
$5.35
$4.70
$4.05​

Answers

Answer: I believe the last numbers are $3.40 and $2.75

Step-by-step explanation:

5.35 minus 4.70 equals 0.65 and that is continually going so you should subtract each number by 0.65 to get the next. If that makes sense

Final answer:

The cost for Mrs. Beusse to buy 100 personalized pencils is $405.00.

Explanation:

According to the chart, the cost of pencils depends on the number of pencils being purchased. For 1-20 pencils, the cost is $5.35 each. For 21-40 pencils, the cost is $4.70 each. For 41-60 pencils, the cost is $4.05 each. Since Mrs. Beusse needs to buy 100 personalized pencils, we need to determine which price range this falls into. 100 pencils falls within the range of 81-100, so the cost per pencil will be $4.05.

Therefore, the total cost for 100 personalized pencils will be $4.05 x 100 = $405.00.

What type of quadrilateral has one pair of opposite sides that are parallel, and one pair of opposite sides that are not parallel

Answers

In a square, rectangle, or rhombus, the opposite side lines are parallel. A quadrilateral with the opposite side lines parallel is known as a parallelogram. If only one pair of opposite sides is required to be parallel, the shape is a trapezoid.

Una cadena de oro es de ley 0,850 y contiene 12 gramos de oro puro. ¿Cuánto pesa la cadena de oro?

Answers

What are you doing this is not understood


The measures of two complementary angles are
12q−9
and
8q+14
Find the measures of the angles.

Answers

Answer:

4  1/4

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Thus if 12q - 9 and 8q + 14 are complementary,

12q - 9 + 8q + 14 = 90.

Combining like terms, we get:

20q + 5 = 90

20q = 85

Thus, q = 85/20, or 17/4, or 4  1/4

Answer:

42 and 48

Step-by-step explanation:

∵ Two angles are complementary to each other if their sum is 90°,

Given,

12q - 9 and 8q + 14 are complementary angles,

By the above statement,

12q - 9 + 8q + 14 = 90

Combine like terms,

20q + 5 = 90

Subtract both sides by 5,

20q = 85

Divide both sides by 20,

q = 4.25,

Thus, the angles are,

12(4.25) - 9 and 8(4.25) + 14

42 and 48

Evaluate |x| + (-2x 2) for x = 3.

Answers

Hello!

The answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Why?

Evaluating a function means replacing the variable with the given value (3 for this case).

To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:

[tex]|-3|=3\\|-4|=4[/tex]

So, we are given the function:

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

Then, evaluating we have:

[tex]f(3)=|3|+(-2*(3)^{2})=3+(-2*9)=3-18=-15[/tex]

Hence, the answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Have a nice day!

4/9 of students at a school are boys. If there are 2610 students at the school, how many are girls??

Answers

If [tex]\dfrac{4}{9}[/tex] of students are boys, then [tex]1-\dfrac{4}{9}=\dfrac{5}{9}[/tex] of students are girls.

[tex]\dfrac{5}{9}\cdot 2610=1450[/tex]

1450 girls

Answer:

1450

Step-by-step explanation:

5/9 of 2160 would mean there are 1450 girls in the school.

Sorry about my last answer, I made a mistake. Feel free to give the other person brainliest.

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?


A. p(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect

B. t(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect

C. p(x), because an increasing quadratic function will eventually exceed an increasing exponential function

D. t(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Answers

I think the answer will be A

Answer:

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graph intersect.

Step-by-step explanation:

Given  two functions are  one is quadratic function and other is exponential function.

From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function  intersect axis at origin (0,0).

From the given graph we can see that  graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.

From the given graph we can see that  the graph of an increasing quadratic function eventually exceed after intersection the  graph of an  increasing exponential function.

In option

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graphs intersect.Therefore, it is true  we can see from the given graph.

B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.

C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection   not eventually ,the graph of an increasing quadratic function  will exceed an increasing exponential function .

D. t(x) , because an increasing exponential  function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.

Regina took out a 30-year loan for $110,000 at an APR of 9.6%, compounded
monthly, and she is making monthly payments of $932.98. What will her
balance be with 13 years left on the loan?

Answers

Answer: $82,975.68 APEX

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