Answers
Answer:
t = 4 s
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+48t+64[/tex]
where:
h = height of the ball (in feet)t = time (in seconds)When the ball hits the ground, its height will be 0 ft.
Therefore, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]
As time is positive, t = 4 s (only).
Given
[tex]h = - 16 {t}^{2} + 48t + 64[/tex]
Where:- h= Height of ball (given in feet[ft]) and,
t= time (in seconds [s])
To find:-Time = (t)
SolutionWe know,
[tex] \text{When the ball hits the ground its height will be 0}[/tex]
[tex] \therefore h(t) = 0[/tex]
[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]
[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]
We know, Time cannot be negative.
So, Time (t) = 4 seconds
Related Questions
f is inversely proportional to p. f = 8 when p = 9 a) Use the information above to write an equation for f in terms of p. b) What is the value of f when p 5? Give any decimal answers to 1 d.p.
Answers
Answer:
a. f = 72/p
b. 14.4
Step-by-step explanation:
a. bringing in constant k,
f = k/p
cross multiplying
k = fp
k = 8×9
k = 72
the formula for f;
f = 72/p
b. Using the formula for f
f = 72/p
f = 72/5
f = 14.4
Please help me with this question .
2 ÷ 9/10 =
Answers
Answer:
20/9
Step-by-step explanation:
2/1–>20/10 x 10/9
200/90 / 10
20/9
Hope that helps. :)
[tex]2 \div \frac{9}{10} [/tex]
solution:[tex] \frac{2}{1} \div \frac{9}{10} [/tex]
[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]
[tex] = \frac{2 \times 10}{1 \times 9} [/tex]
[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]
If C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?
Answers
Answer: 34
Step-by-step explanation:
since the line is cut in half the sides equal
therefore
4x-7 = 2x+5
solve for x
4x = 2x + 12
2x = 12
x = 6
plug into either equation as they are both the same
4(6) - 7 = 17
if one half is 17 then the other half is 17
add the halves for the full line segment AT
AT = 17 + 17 = 34
Match the value to the correct image. Not all values will be used.
Find the approximate surface area of each right regular prism.
Answers
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²How to match given surface areas with given figuresThe surface area of the each figure ([tex]A[/tex]), in square units, is equal to the sum of the surface area of the two bases ([tex]A_{b}[/tex]), in square units, and the surface areas of the lateral sides ([tex]A_{l}[/tex]), in square units. Since bases are regular polygons, base surface area can be determined by this expression:
[tex]A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }[/tex] (1)
Where:
l - Side length, in unitsn - Number of sidesThe area of one lateral side is expressed by this expression:
[tex]A_{l} =h\cdot l[/tex] (2)
Where h is the height of the rectangle, in units.
The total surface area is defined by the following formula:
[tex]A = 2\cdot A_{b} + n\cdot A_{l}[/tex] (3)
Now we proceed to calculate each surface area:
Case I ([tex]l = 2[/tex], [tex]n = 6[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)[/tex]
A = 108.136 units²
Case II ([tex]l = 4\sqrt{3}[/tex], [tex]n = 3[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)[/tex]
A = 228.631 units²
Case III ([tex]l = 6[/tex], [tex]n = 5[/tex], [tex]h = 11[/tex])[tex]A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)[/tex]
A = 453.874 units²
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293
Answer:
Look at the picture
Bella has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, what equation could be used to find the number of nickels Bella has?
Answers
Answer:
15 nickels
Step-by-step explanation:
so you know she has 7 dimes so youre starting off at .70
how much money would it take to get from .70 to 1.45?
.75 cents to get from .70 to 1.45 which is 15 nickels
Answer:
0.15n + 0.70 = 1.45
5 nickels
Step-by-step explanation:
Nickel = 5 cents = $0.05
Dime = 10 cents = $0.10
Let n = number of nickels
Let d = number of dimes
Given:
Bella has 7 more dimes than nickelsTotal value of $1.45Equation 1: 0.05n + 0.10d = 1.45
Equation 2: d = n + 7
Substitute Equation 2 into Equation 1 and solve for n:
⇒ 0.05n + 0.10(n + 7) = 1.45
⇒ 0.05n + 0.10n + 0.70 = 1.45
⇒ 0.15n + 0.70 = 1.45
⇒ 0.15n = 0.75
⇒ n = 5
Therefore, Bella had 5 nickels and 12 dimes.
A weather researcher compared average monthly temperature data for
Athens, Greece, and Madrid,Spain answer quickly please I need this answer now
Answers
Considering the mean and range concepts, it is found that the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
What are the mean and the range of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The range is given by the subtraction of the highest value by the lowest.In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
More can be learned about the mean and range concepts at https://brainly.com/question/15796321
The concert center sold 11,900 tickets this year, which was 40% more than last year. How many tickets
were sold last year?
Answers
Answer:
7140
Step-by-step explanation:
Hey there!
This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.
Finally you would end up with 7140
what is the slope of the line passing through the points (2,5) and (-1,-4)
Answers
Answer:
m=y2-y1/x2-x1
=-4-5/-1-2
=-9/-3
=-3
It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.
A. cube
B. cylinder
C. sphere
D. cone
Answers
Answer:
B (cylinder)
Step-by-step explanation:
Two circular bases which are parallel and congruent :
This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.
The cube doesn't have any circular bases.
The sphere doesn't have any faces, nor edges.
A cone has a circular base, but it doesn't have two.
A cylinder has two circular bases, as well as they are parallel and congruent.
So, your answer is B (cylinder).
Hope this helped !
expand and simplify \5 (\10 +\2) ?
someone said the answer was 60, so i tried it and it didn’t work. can anyone help please?
Answers
Answer:
[tex]5\sqrt{2} +\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]
[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]
An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:
1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.
2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.
The first part...
[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]
[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]
[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]
[tex]\sqrt{25} = 5 < --Solve[/tex]
[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]
[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]
The second part...
[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]
[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]
Combine both parts...
[tex]5\sqrt{2} +\sqrt{10}[/tex]
What's the answer for this!
Answers
The options for each paragraph are listed below:
First paragraph50100001000Second paragraph0maximum18.498.6017.2How to fill the blanks in paragraphs on applications of second order polynomialsIn this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.
First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.
First paragraphThe roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).
The maximum profit of $ 50 is reached when 1000 items are produced.
The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)
Second paragraphThe trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball starts 0 feet above the ground.
The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.
The ball returns to the ground at about 17.2 feet away.
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
Put the following list of numbers in ascending order.
1.2, 0, -0.4, -2.6, 0.8
HELP PLS!
Answers
Answer: -2.6 , - 0.4, 0, 0.8 , 1.2
Step-by-step explanation:
ascending is smallest to largest
From the extrem left of a.number line to the right
Answer:
-2.6, -0.4, 0, 0.8, 1.2
Step-by-step explanation:
Ascending order is simply the smallest number to the largest number. The smallest numbers in this set are the negative ones, and -2.6 is a smaller value than -0.4.
So far our set looks like the following:
-2.6, -0.4
Next is 0, since 0.8 and 1.2 both come after 0. After 0 would be 0.8, and 1.2 would be the largest number.
Here is the set of numbers in ascending order:
-2.6, -0.4, 0, 0.8, 1.2
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
x = three-halves (y minus 5) squared
x = negative three-halves (y minus 5) squared
x = StartFraction 1 Over 6 EndFraction (y minus 5) squared
x = negative StartFraction 1 Over 6 EndFraction (y minus 5) squared
Answer: C
Answers
Answer:
C
Step-by-step explanation:
Edge 2021
Answer:
C
Step-by-step explanation:
Which of the following shapes can be a cross section of a cylinder?
Answers
Answer:
Below
Step-by-step explanation:
The second ( Oval) (The cross-section of a slanted plane through curved body of the cylinder)
The third (Circle). ( The cross section of a plane parallel to the base)
The fifth (Rectangle) (The vertical cross section of a plane through the diameters of the top and bottom of the cylinder.).
The shapes can be used are oval, circle and rectangle.
What is Geometry?Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.
Types of Geometric ShapesIn geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:
Two-dimensional: These are 2D shapes that have only the x-axis and y-axis. They are flat structures with 2 dimensions. For example, triangle, square, rectangle, etc.Three-dimensional: These are 3D shapes that have an x-axis, y-axis, and z-axis. The z-axis represents the height of the object. They are solid structures with 3 dimensions. For example, cube, cuboid, etc.First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.
Then, circle (plane parallel to base)
Then, rectangle the vertical cross section of a plane through diameters.
Learn more about geometry here:
https://brainly.com/question/12168921
#SPJ2
Solve the following system of equations using substitution.
3x + 2y = 16
3x - 1 = y
Answers
Answer:
x=2
y=5
Step-by-step explanation:
Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.
We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.
From there we add 2 to both sides and get 9x=18.
Then divide both sides by 9 to get x=2.
Then plug x=2 in for the equation below and get 6-1, or 5.
Giving us our answers, x=2 and y=5
А jeremiah is starting a running plan to train for a race. in the first week of his running plan, jeremiah will run 6 miles. the plan calls for jeremiah to increase his weekly milage by 2 miles every week. if jeremiah sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
Answers
At the 8th week Jeremiah will be running 24 miles to train for a race.
Word ProblemGiven Data
Starting distance = 6 milesWeekly increment = 2 milesThe rule for finding the mile for the 8th week is
Mile (n) = 6+2(n)
hence for n = 8
Mile (8) = 6+2(8)
Mile (8) = 6+16
Mile (8) = 24 miles
Learn more about work problems here:
https://brainly.com/question/25693822
HELP PLS I'LL GIVE BRAINLEIST
Answers
Area of the triangle
1/2BH1/2(10+50)(20)10(60)600ft²Area of rectangle:-
50(20)1000ft²Area of semicircle
π(20/2)²/2π(10²)/2100πft²/2314ft²/2157ft²Total:-
157+1000+600=1757ft²Answer:
1757 ft²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Add the area of the rectangle, the area of the triangle, and the area of the semicircle.
Area of the rectangle:
= 20 x 50
= 1000 ft²
Area of the triangle:
= 1/2 x (10 + 50) x 20
= 1/2 x 60 x 20
= 30 x 20
= 600 ft²
Area of the semicircle:
= 1/2 π(20 ÷ 2)²
= 1/2 · 3.14 · 10²
= 1/2 · 3.14 · 100
= 157 ft²
Shaded area:
= area of rectangle + area of triangle + area of semicircle
= 1000 + 600 + 157
= 1757 ft²
A line passes through the point (6, 7) and has a slope of 4.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 4x - 17
Step-by-step explanation:
we can use the equation y = mx + b
where m is the slope.
now we want to find the value of b.
so
7 = 24 + b
b= -17
so the answer is
y = 4x -17
Is the inequality below true or false, if m
m+9
True
False
Answers
When Allison calculated her mean for 5 tests she got a score of 82, however, she later realized that she had written 96 instead of 86. what is the correct mean score of the 5 test grades?
Answers
410 - 96 = 314
314 + 86 = 400
400/5 = 80
Question is in the picture below, please help.
Answers
Answer:
A)6 cm B)32 inch
Step-by-step explanation:
A)1 cm:8 inch
(1×6)cm:(8×6)inch
Thus, if the height is 48 inch, the scale in cm is 6 cm
B)Normal linear form
The length=4cm
(1×4) cm:(8×4) inch
Thus, if the scale length is 4 cm, the real painting length will be 32 inch
Higher interest rate mortgage loans made to people with poor credit
scores.
O teaser rate
O subprime mortgage
O points
O adjustable rate mortgage
Answers
I don't know what you have to do but I'm trying to do my first answer srry
Answer:
I would say the last one..................
You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues and enter your answer below. 128 One digit is right and in its place 157 One digit is right, but in the wrong place Two digits are right but both are in the 8 41 wrong place 362 All digits are wrong 62 4 One digit is right, but in the wrong place din
Answers
Answer:
184
Step-by-step explanation:
in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4
The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
You have a combination lock with 3 secret digits.
362 All digits are wrong then 3, 6, and 2 should not be there.
624 One digit is right but in the wrong place. Then 4 digit is right.
841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.
128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.
157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.
The combination lock with 3 secret digits is 478.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
Angle g measure’s 117 angle c measure’s 22 angle e measure’s 40 what is the measurement for angle b
Answers
Answer:
500
Step-by-step explanation:
Help!! ASAP!!
Teri has scored 73%, 84% and 71% on her first three tests. What percent would she
have to score on the fourth test to have an overall average of 82%?
Answers
Answer:
100
Step-by-step explanation:
You have to find the current average-
73+84+71=228
228/3=76.
228+?=328?
(328=82x4)
328-228=100
6 minutes3 minutes3 minutes 5 minutes 1 minute 3 minutes What is the mode
Answers
Answer:
the answer is 3.
Step-by-step explanation:
mode if what numberhappens most often
WILL GIVE BRAINLIEST!! Find the component form of the vector v with magnitude 6 and direction angle 235º
a.<4.91, -3.44>
b.<0.10, -0.14>
c.<-3.44,-4.91>
d.<-4.89, 3.48>
Answers
Answer:
d
Step-by-step explanation:
components of a vector is given as
X=vcos■ y= vsin■
substitute the substitute the vector into v and the angle into ■
hence x=-4.89
and y= 3.48
2 Find the area of each trapezoid.
Answers
Answer:
You're missing an attachment :)
If you want an answer, I suggest you upload a picture, or provide more information, thank you.
1. Josie lives at the coordinates (8,-4). Ruby lives at (-4, 2). When
Josie rides her bike to Ruby's house, she stops by the ice cream shopthat is 2/3 of the way from her house to Ruby's. What is the location of the shop?
Answers
Help me please it’s algebra
Answers
Answer:
80 degrees
Step-by-step explanation:
To convert radians to degrees, multiply by 180π since a full circle is 360° or 2π radians. Cancel the common factor of π. Factor π π out of 4π 4 π.
hope this helps.
