A ball is thrown from the top of the school. The height of the ball (in feet) written in
terms of the time (in seconds) is modeled by f (t) = -16t² + 32t + 48. At what time
will the ball hit the ground?

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

When the ball hits the ground, the height will be 0. Therefore, you can substitute 0 in for the value of f(t), hence the equation will be:

0 = -16t^2 + 32t + 48

You can then factor out -16:

0 = t^2 - 2t - 3

Factor:

0 = (t-3)(t+1)
t = 3, -1

However -1 is an extraneous solution because time cannot be negative. Therefore, the answer is 3 seconds.


Related Questions

graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
O(-2,-3)
O (3, 1)
O (1,3)
(3,2)

Answers

Answer:

Coordinates follow (x,y) so to find a solution to the line you want to find a point in (x,y) form which is on the line.

This means (1,3) is a solution because at x=1 and y=3 it is on the line.

C | (1,3)

The solutions to a quadratic equation are x=4 and x=3/5. What is the original equation?

Answers

X squared - 4.6x + 2.4 = 0

The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.

Students in Class A
A dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.

Students in Class B
A dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.

What is the difference between the ranges in the dot plots?
0
2
3
4
Unmark this

Answers

Answer:

The difference between the Ranges in the dot plots is 2.

Explanation:The range is the distinction between the greatest or highest value and the minimum or lowest value.

I've included a figure with the two-dot plots explained for easier comprehension.

Students from Class A.

The value on the far left of the numbered line that contains at least one point is the minimum value for students in Class A, and the maximum value is three (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 3 - 0 = 3

Students from Class B.

The value to the far left of the numbered line that has at least one point is the minimum value for students in Class B, and the maximum value is 5. (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 5 - 0 = 5

Variations in the ranges

The dot plots' range differences are 5 - 3 = 2, which is a difference of two.

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Question 3
In Question 1, what do you notice about the x-coordinates before and after a horizontal stretch? What do you notice about the y-coordinates
before and after a vertical stretch? Express your answer in terms of Nx and Ny

Answers

The y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.

How to depict the coordinate?

It should be noted that coordinates are vital in determine the position of an object or points.

In this case, the y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.

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Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

An angle is bisected, forming two new
angles. If the original angle had a measure
of 48 degrees, what is the measure of each
new angle?

Answers

First let's define bisected

To bisect an angle means to split an angle exactly in half. Both sides of a bisected angle are equal to each other

The original angle (48 degrees) is bisected so we must divide 48 by 2 to find a degree of each angle

48 ÷ 2 = 24

The measure of each new angle is 24 degrees

Solve x/3 = x+2/2. X=

Answers

Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)."  Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2   [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2  YES

A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket

Answers

Answer:

$200

Step-by-step explanation:

Consider the original price be x

As per the question

x×70%=140

Solving the equation yields:

0.7x=1400.7x/0.7=140/0.7x=1400/7x=200

In conclusion

the original price of the jacket was $200

Find the missing term or terms in each arithmetic sequence.
4) ..., 27,__,__,__, 43, ...

I need help again please!!!!!!

Answers

Answer:

I believe the terms would be 31, 35, 39.

Step-by-step explanation:

We know this because 43-27 is 16. since there are 3 terms missing, we divide the answer by 4, and you get 4. The number you get there is how many you add to each term to get the missing ones. For example, 27+4=31. The pattern is adding 4 to each term. Hope I helped!

I believe yes. of course I believe yes. There is no other way than yes.

Can someone take a look at this image and answer please!

Answers

The answers to the following question is

1) KL = 10

2) TE= 15 cm

3) angle PUT= 13

4) angle SQP = 21

What is similarity in triangle?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

1) Using similarity property in given triangle

SR/ KI= SJ / JK

AS, JK= 2 SJ

SR/ KI= SJ / 2 SJ

5/ KI =  1/2

KL= 10

2) As, the diagonal of parallelogram bisect equally each other then

VE = TE

AS, VE = 15

So, TE= 15 cm

3) As, PU is the bisector of angle SUT

angle PUT= 1/2 (angle SUT)

PUT = 1/2 (26)

angle PUT= 13

4) As PQ is the bisector SQR

angle PQR= angle SQP = 21

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What is the value of 8+ h² when h = 3?

Answers

Answer:

17

Step-by-step explanation:

8 + h^2

Let h = 3

8 + 3^2

We find the value of 3^2 first using PEMDAS

8 + 9

Then add

17

The result is 17

Solution: 17

Detailed explanation:

[tex]\circ[/tex] Stick in the value of h, which we're provided with (3)

[tex]--\mapsto\boldsymbol{8+(3)^2}[/tex] *

*Be careful here! Here it's very easy to make a mistake, if you aren't familiar with the Order of Operations. The Order of Operations is shown below [tex]\swarrow[/tex]

P=Parentheses

This operation tells us to perform the operations in the parentheses first.

E=Exponents

This one tells us to evaluate all exponents, if any are present.

M=Multiplication | D=Division

These two are completely interchangeable; you can perform Multiplication first and then division, or the other way around.

A=Addition | S=Subtraction

Like the two operations above, A and S are also completely interchangeable.

________________________________________________________

________________________________________________________

Using the information above, let's evaluate (find the value of) the expression [tex]8+h^2[/tex].

We stick in the value of h, 3

[tex]\pmb{8+3^2}[/tex] is what we obtain

Here we see that exponents are  present (3^2) so we'll evaluate that first, as P.E.M.D.A.S. tells us to do.

[tex]\pmb{8+9}[/tex] (3^2=3*3)

And Now we just need to add the numbers

[tex]\boldsymbol{17}[/tex]

Voila! There's our answer!

Cheers!! ^-^

_____________________

Hope I helped. Best wishes.

Reach far. Aim high. Dream big.

[tex]\cal ReFlEcTioN[/tex]

_____________________

X. y
-6. -7
.1. 1
0. 9
3. -2

What is the domain of the given function?
(x|x = -6, -1, 0, 3}
(y|y) =-7.-2, 1, 9}
(x|x = -7, -6, -2.-1, 0, 1, 3, 9}
(y|y)= -7, -6, -2, -1, 0, 1, 3, 9}

Answers

Answer: Option (1)

Step-by-step explanation:

The domain is the set of input values, also known as the set of x-values.

Draw the graph of f(x) = (x − 1)2 − 2. Start by creating a table of ordered pairs for the function. Then plot the points from the table, and draw a curve connecting the points.

Answers

The attached graph represents the graph of f(x) = (x - 1)^2 - 2

How to plot the graph?

The equation is given as:

f(x) = (x - 1)^2 - 2

Next, we set x to -2, -1, 0, 1 and 2.

So, we have:

f(-2) = (-2 - 1)^2 - 2 = 7

f(-1) = (-1 - 1)^2 - 2 = 2

f(0) = (0 - 1)^2 - 2 = -1

f(1) = (1 - 1)^2 - 2 = -2

f(2) = (2 - 1)^2 - 2 = -1

This means that the table of values is

x      f(x)

-2    7

-1    2

0    -1

1     -2

2    -1

Next, we plot the above points and connect them.

See attachment for the graph of f(x) = (x - 1)^2 - 2

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PLSS HELP ME PLSSS
a) Write 2 expressions for the area of the shaded region. (2 marks)
b) Find the length of the shaded region if the perimeter is 48cm. (2 marks)
c) Find the area of the shaded region if perimeter is 48cm. (1 mark)

Answers

Answer:

(1) 85×9=765 (2) 127×3=381

Which of the following angles are congruent?
L
»
M
0
»
O
ZMOL = ZMON
O ZMNO = ZLOK
OZLKO ZNMO
K
N

Answers

Answer:

LKO = NMO

Step-by-step explanation:

This is because both of the angles lie on the same "vertical angle", the line segment that connects M to K. The segment MN is also parallel to segment LK. If you have two congruent line segments, then the measure of the angles are congruent.


Find the average rate of change of f(x) = -3x² + 1 over each of the following intervals.
(a) From 2 to 4
(b) From -2 to 0
(c) From 2 to 5

Answers

The average rate of change of f(x) = -3x² + 1 over each of the given intervals are; -18, 6 nd 38

How to find the average rate of change?

We are given the function;

f(x) = -3x² + 1

(a) From 2 to 4;

f(2) = -3(2)² + 1

f(2) = -12 + 1

f(2) = -11  (2, -11)

f(4) = -3(4)² + 1

f(4) = -47  (4, -47)

Slope = (-47 - (-11))/(4 - 2)

Slope = -36/2

Slope = -18

(B) From -2 to 0;

f(-2) = -3(-2)² + 1

f(2) = -12 + 1

f(2) = -11  (-2, -11)

f(4) = -3(0)² + 1

f(4) = 1  (0, 1)

Slope = (1 - (-11))/(0 - (-2))

Slope = 12/2

Slope = 6

(C) From 2 to 5;

f(2) = -3(2)² + 1

f(2) = -12 + 1

f(2) = -11  (2, -11)

f(5) = -3(5)² + 1

f(5) = -74  (0, -74)

Slope = ((-74) - 2)/(0 - 2)

Slope = -76/-2

Slope = 38

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Find the equation of the line of best fit and the correlation coefficient for the data shown.

(1, 88), (2, 75), (3, 71), (4, 69), (5,66), (6, 68), (7, 50)

Regression equation:

Answers

Using a calculator, we have that:

The regression equation is given by:  y = -4.75x + 88.57143.The correlation coefficient is given by: -0.906.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

The values of x are: 1, 2, 3, 4, 5, 6, 7.The values of y are: 88, 75, 71, 69, 66, 68, 50.

Hence the regression equation is:

y = -4.75x + 88.57143.

Also using a calculator, the correlation coefficient is of -0.906.

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Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2

Answers

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

How to determine the number of passwords

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords is 30891577600

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Given the image below DY EY FY are perpendicular bisectors of triangle ABC

Answers

The value of FY in the triangle will be 30.11

How to calculate the value?

From the information given, the value of BE will be:

= [tex]\sqrt{64.2}[/tex]² - [tex]\sqrt{51.2}[/tex]²

= 38.7

From the triangle, DY will be

= [tex]\sqrt{64.22}[/tex]² - [tex]\sqrt{61.7}[/tex]²

= 17.7

AY will be:

= [tex]\sqrt{61.7}[/tex]² + [tex]\sqrt{17.7}[/tex]²

= 64.2

FY will now be:

= [tex]\sqrt{64.2 - 56.7}[/tex]²

= 30.11

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what i the solution to this equation
6 (x - 5) = 4x + 20

Answers

6 (x - 5) = 4x + 20

6x - 30 = 4x + 20

6x - 4x = 20 + 30

2x = 50

[tex]x = \frac{50}{2} [/tex]

x = 25

Answer: The value of x = 25 ✅

Step-by-step explanation:

Hii! Do you need to know the solution to the equation [tex]\boldsymbol{6(x-5)=4x+20}[/tex]? No problem! (:

Solving Equations

     In any equation, there's a variable that we need to solve for. Here the variable is "x".

So now let's solve for x...

[tex]\twoheadrightarrow\sf 6(x-5)=4x+20[/tex]

[tex]\bullet[/tex] "distribute" 6

[tex]\twoheadrightarrow\sf 6x-30=4x+20[/tex]

[tex]\bullet[/tex] subtract "4x" from both sides

[tex]\twoheadrightarrow\sf 2x-30=20[/tex]

[tex]\bullet[/tex] add "30" to both sides

[tex]\twoheadrightarrow\sf 2x=50[/tex]

[tex]\bullet[/tex] divide both sides by "2"

[tex]\twoheadrightarrow\sf x=25\;\;\;[/tex] ✅

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

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--

[tex]\bigstar\underbrace[/tex]

i need quick help on this, please

Answers

The coordinates of a point located on the grid is (64.65, 12.4).

We need to find the coordinates of the point given on the grid.

What are coordinates?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Now, from the given grid we can see that the point is located at (64.65, 12.4)

Therefore, the coordinates of a point located on the grid is (64.65, 12.4).

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Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved

Answers

The transformation is nonrigid because the segment lengths are not preserved.

How to determine the transformation?

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

Triangle 1: 6, 10 and 8Triangle 2: 3, 5 and 4

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

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Answer:

The transformation is nonrigid because the segment lengths are not preserved.

PLS HELP ME AND PLEASE GIVE ME THE ANSWER EXPLAINED THANK YOU!!

Answers

The coordinates of the vertices of the reflected image are (-3,4)  (0,4) (-3, 2) (0,2).

What is reflection?

Reflection is a mathematical transformation of a shape by moving the vertices of the shape across a line of reflection.

Analysis:

coordinates of the shape before transformation are: (-3, 0) (0,0) (-3, -2) 0, -2)

Across the line of transformation, the corresponding vertices(old and new) must be equal distance from the line of reflection.

Also for reflection on y-axis only y-coordinates are affected.

so for point(-3, 0) 0 is 1 unit away from y = 1 so the other coordinate 1 unit away from y = 1 is y = 2 making the new point (-3, 2) same as others .

Find the image in the attached file below.

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The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool, in square feet?

Answers

Answer:

[tex]3x^3 + 4x^2 -3x + 2[/tex]

Step-by-step explanation:

The area of the swimming pool will be equal to [tex]length * width[/tex].

We know that the length is [tex]3x^2-2x+1[/tex] and the width is [tex]x+2[/tex].

Therefore we can substitute those into the equation:

[tex](3x^2-2x+1)(x+2)\\[/tex]

Then, we expand the brackets using a grid (attached).

After this, we collect like terms to find the final answer:

[tex]3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2[/tex]

Our final answer is: [tex]3x^3 + 4x^2 -3x + 2[/tex]

Looking for a step by step explanation for this question! I take the Math QRAS Accuplacer soon and practicing my math skills but I seem to be stuck on this problem.

To raise money for their school play, Beatrice sold brownies for $1.25 each, and Chuck sold cookies for $0.75 each. Together, they sold 87 items and made $80.75. How many cookies did Chuck sell?

(A) 15 cookies
(B) 26 cookies
(C) 56 cookies
(D) 65 cookies

Answers

The answer is 56 cookies because i did math in my head

Write an equation for the linear function f with the given values

Question number 8

Answers

Answer:

5. y = 2/3x + 1

8. y = 4/7x - 4

Step-by-step explanation:

5. (-6, -3) and (6, 5)

You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept

(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3

slope-intercept form: y=mx+b where m is the slope and b is the y-intercept

to find b you can plug in one of the coordinates and the slope

5 = 6(2/3) + b

5 = 4 + b

1 = b

y = 2/3x + 1

8. (-7, -8), (21, 8)

m = (8 -  (-8)) / (21 - (-7)) = 16 / 28 = 4/7

plug in one of the coordinates and the slope to find b or the y-intercept

8 = 21(4/7) + b

8 = 12 + b

-4 = b

y = 4/7x - 4

Given the following exponential function,
identify whether the change represents
growth or decay, and determine the
percentage rate of increase or decrease.
y = 4300(0.042)
X

Answers

The change is decay and the percentage rate of decrease will be 95%.

An exponential function is a function where a number is raised to the variable i.e. base is raised to the exponent times.

Here given the exponential function is y= 4300(0.042)ˣ

Now we have to identify if the change in exponential function represents growth or decay, and have to determine the percentage rate of increase or decrease.

Here in the exponential function, the base is less than 1 so the change is decay.

The equation represents exponential decay because the decay factor is lesser than 1.

The general form of the exponential equation is:

y(x)= a(1-r)ˣ such that r is the decay.

equating with the equation

y= 4300(0.042)ˣ

a= 4300

and 1-r=0.042

⇒r= 1-0.042

⇒r= 0.958

the perecentage of decay will be r*100= 0.958*100= 95%

Therefore the change is decay and the percentage rate of decrease will be 95%.

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find the smallest 4 digit number which is exactly divisible by 72 and 108
with explaination​

Answers

The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

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PLEASE HURRY I NEED TO FINISH

Answers

Answer: No

Step-by-step explanation:

A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.

Answer:

no

Step-by-step explanation:

because it does not represent any propotional relationship.

Which graph represents the function f(x) = 3x-2/X-2

Answers

Answer:

Step-by-step explanation:

The slope of a line perpendicular to the line containing (0,3)and (-2,0) is: The slope of a line perpendicular to the line containing ( 0,3 ) and ( -2,0 ) is :​

Answers

Answer:

Step-by-step explanation:

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