Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by [tex]h(t) = -16\cdot t^{2}+12\cdot t +10[/tex], where [tex]h(t)[/tex] is the height in feet and [tex]t[/tex], the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
[tex]-16\cdot t^{2}+12\cdot t +10 = 10[/tex]
[tex]-16\cdot t^{2}+12\cdot t = 0[/tex]
Then, we simplify the expression by algebraic means:
[tex]-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0[/tex]
Roots of the polynomial are, respectively:
[tex]t = 0\,s\,\lor \,t = 0.75\,s[/tex]
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
hey can you state what's wrong in the given solution.
=》
[tex]0 = 0[/tex]
we know, zero is always equal to zero
=》
[tex]16 - 16 = 20 - 20[/tex]
because, 16 - 16 = 0
and 20 - 20 = 0
=》
taking 4 as common from 16 - 16 and 5 as common from 20 - 20
[tex]4(4 - 4) = 5(4 - 4)[/tex]
now dividing both sides by
(4 - 4)
=》
[tex] \frac{4(4 - 4)}{(4 - 4)} = \frac{5(4 - 4)}{(4 - 4)} [/tex]
=》
[tex]4 = 5[/tex]
because, (4 - 4) in denominators of both sides cancels out (4 - 4) in numerator of both sides.
=》
[tex]2 + 2 = 5[/tex]
we know, 4 = 2 + 2 , so plugging (2 + 2) in place of 4
Answer:
i also guess 2+2=4 not 5 ╮(╯▽╰)╭
What is the total surface area??
Answer:
216
Step-by-step explanation:
Use geometric formulas to solve for each individual SIDE of the triangular prism
TOP and BOTTOM TRIANGLE sides:
[tex]\frac{ab}{2}[/tex] [tex]\frac{6(8)}{2}[/tex] <--- times 2 because we have TWO identical triangle sidesRIGHT RECTANGULAR side from our perpsective:
LxW8(7)FRONT RECTANGULAR side:
LxW7(6)BACK RECTANGULAR side:
LxW7(10)Now you add all of those formulas together for your answer.
[tex]\frac{6(8)}{2}[/tex] + [tex]\frac{6(8)}{2}[/tex] + 8(7) + 7(10) + 7(6)
= 216
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
The answer is 35 degrees because 60-25=35.
Step-by-step explanation:
Today, everything in the store is on sale. The store offers a 20% discount.
A) The regular price of a t-shirt is $18. What is the discount price?
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
C) The discount price of a hat is $18. What is the regular price?
A) The regular price of a t-shirt is $18. What is the discount price?
$14.4
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
The answer would be B.
C) The discount price of a hat is $18. What is the regular price?
22.5
Hope it helped!! ^^
Note: if you need me to explain i Would be happy to do so! :)
five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
If three the coordinates of a quadrilateral are at A(3,2), B(-4, 2), and C(-4, -1). What are the coordinates of the 4th corner, point D?
(3,-1)
it should shape like a square or rectangle when you plot it
hope it helps !
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
I need help Please and Thank you
Answer:
the median should be 2.5
Answer:
2.5
Step-by-step explanation:
By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.
0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5
Now you will take off the numbers until you get to the middle number
0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5
Because the middle two numbers are 2 and 3, you take the mean of the two numbers.
(2 + 3) / 2
= 2.5
2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
Suppose a book has been on a desk 1 m above the floor. A student accidentally knocks the book off of the desk and it falls to the floor. During this process, ___________ energy has been changed into _______ energy.
Answer: Potential; Kinetic
Step-by-step explanation:
''...During this process, potential energy has been changed into kinetic energy.''
Potential energy is the energy that a stationery object has because it is stored within the object. In this case the object is the book.
When an object begins to move, it gains kinetic energy which is converted from its potential energy. As the book falls to the floor in this scenario, it gained kinetic energy as its potential energy was converted to enable it move.
The ratio of red to blue marbles in a bag is 2:5. If there are 65 blue marbles in the bag, how many red marbles are there? Let x represent the number of red marbles. Set up a proportion and cross multiply to solve.
Answer:
first get the total ratio; 2 + 5 = 7
so the fraction of blue marbles is 5/7
then assume the number of total marbles to be k
then use the expression;
5/7*k = 65
7*5/7 * k = 65*7
5k =455
5/5k = 455/5
k = 91
then calculate the number if red marbles from;
x = 2/7*91
x = 26
Therefore there are 26 red marbles.
HELP giving brainlest and extra points
divide tomato genome and human genome and you'll get
= 0.3
standard form is
3 × 10-¹
Tasha needs to walk 7/10 miles to school. She has already walked 3/5 mile. How much farther does Tasha need to walk? Answer in simplified form, if needed.
Answer:
1/10
Step-by-step explanation:
We are to determine the difference between the miles walked Tasha already and the total number of miles to school
[tex]\frac{7}{10} - \frac{3}{5}[/tex]
[tex]\frac{7-6}{10}[/tex] = [tex]\frac{1}{10}[/tex]
What are the slope and the y-intercept of the linear function that is represented by the equation Y --10x+1?
BARE
O The slope is -10, and the y-intercept is -1.
O The slope is -10, and the y-intercept is 1.
The slope is -1, and the y-intercept is -10.
O The slope is 1, and the y-intercept is -10.
Answer:
The slope is -10, and the y-intercept is 1.
Step-by-step explanation:
Assuming that the equation is y = -10x+1, the easiest way to identify slope and the y-intercept is by knowing the equation for slope-intercept (y = mx+b)
Equation for slope-intercept (y = mx+b) explained:
The equation is y = mx+b, let's break it down.
y = The line
m = The slope
b = The y-intercept
Now that we know the equation and broke it down you can identify them in your equation
Slope (m)= -10
y-intercept = 1
Conclusion: The slope is -10, and the y-intercept is 1.
Two companies rent boats by the hour. The total cost, in dollars, c, depends on the number of hours, h.
The equations that represent the rental rates of both companies are shown.
Company A: c = 15h + 20
Company B: c = 20h
• A person rents a boat from Company A for h hours and realizes they would have paid the same
amount if they had rented the boat from Company B. How many hours, n, did the person rent the
boat? Explain or show each step of your work
Verify that your solution for h hours of renting the boat is the same cost, c, for each company.
cheost
.
Enter your answer and your explanations or steps in the space provided
Answer:
i dont know im so sorry for making you feel like you
Step-by-step explanation:
i dont know im so sorry for making you feel like you
An even number is divisible by 2.
if - then :
hypothesis:
conclusion:
Answer:
A logical sentence is written as:
If P, then Q.
Where:
P = hypothesis
Q = conclusion.
For this particular case, we know that a number is even only if the number is divisible by 2.
Then we can write:
if a number is divisible by 2, then it is an even number.
Here we have:
hypothesis = a number is divisible by 2.
conclusion = the number even.
Pls help me find v,w,x,y, and z pls help me I will mark u brainlest
Answer:
v 39 degree
z 47 degree
x 94 degree
sry don't know about w and y....
Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.
Answer: 30%
Step-by-step explanation:
Method 1:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, the denominator should be equal to 100 (since percent is per 100)
Multiply the top and bottom by 10
[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]
Since the numerator is 30, 3/10 as a percent is 30%
Method 2:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)
0.3
10 | 3 0
-30
-------------
0
You get 0.3
Now multiply the decimal by 100
0.3 * 100 = 30
30%
Method 3:
The original fraction is [tex]\frac{3}{10}[/tex]
[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]
cross-multiply to solve the equation
30%
Latoya buys a board that is 8 feet long. She cuts 3 1/2 feet off to make a shelf , and 2 feet off to make a sign. She divides the rest equally to make 2 trays. What is the length of one tray, in inches?
Answer:
1 1/4 feet
Step-by-step explanation:
3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4
anyone knows the answer
Answer:
it might be 390
Step-by-step explanation:
hope this helps
What is the product of -3 1/3 and -8 7/10?
Answer:
29
Step-by-step explanation:
-3 1/3 • -8 7/10
-10/3 • -87/10
870/30
29
HELP ME PLZ 20 POINTS AND BRAINLIEST
Answer:
3584
Step-by-step explanation:
Marco located the falllow points on a number line which point is not corrtly placed on the number line
Question:
Marco plotted the following points on the number line.
Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7
Which point did he plot incorrectly?
Answer:
Point D
Step-by-step explanation:
Given
[tex]Point\ A= 0.3[/tex]
[tex]Point\ B= \frac{3}{4}[/tex]
[tex]Point\ C= \frac{11}{4}[/tex]
[tex]Point\ D= 0.7[/tex]
Required
The incorrectly plotted point
Number plotted on a number line increases from left to right. This implies that:
[tex]A < B < C < D[/tex]
Substitute the values for the given points
[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]
Express as fractions
[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]
Up till 2.75, the order of the numbers is correct.
However, 0.7 is less than 0.75 and 2.75
So, 0.7 is not placed correctly.
This implies that point D is not correctly placed
A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?
Answer:500 g
Step-by-step explanation:
Question 1
1.1
The difference between two numbers is 308328.If the smaller number is
6524, what is the larger number?
-(2) maths
Answer:
Let get small number is x and large number is y.
The difference between two numbers is 308328.
ie. y- x = 308328.
If the smaller number is
6524.
So, x= 6524.
Hence,
y - x = 308328
y- 6524 = 308328
y = 308328 + 6524
y = 314852
Step-by-step explanation:
miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?
Answer:
Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:
calculate the first four terms t=3n+2
Answer:
[tex]n = \frac{t - 2}{3} [/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]t - 2 = 3n[/tex]
2) Divide both sides by 3.
[tex] \frac{t - 2}{3} = n[/tex]
3) Switch sides.
[tex]n = \frac{t - 2}{3} [/tex]
Therefor, the answer is n = t-2/3.
please helppp will give brainliest
Answer:
[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.
Step-by-step explanation:
Dividing a fraction is the same as multiplying the reciprocal of the second fraction.
[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]
[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex] Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.
So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .
I hope this makes sense!! ^-^
A shaded semicircle is inside a circle as shown.
Answer:
Answer is on the picture
Step-by-step explanation:
Answer is on the picture
PLs help i really need it will give brainliest and thanks and 5 stars
Answer:
(5-2t)<-4
Step-by-step explanation:
The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4