Answer:12
Step-by-step explanation: just did the assignment
The pebble will hit the ground after 12 seconds when the equation for height as a function of time is h(t) = -16t2 + initial height .
To find the time it takes for the pebble to hit the ground, we need to set the height function h(t) equal to zero and solve for t.
h(t) = -16t² + initial height
initial height = 2,304 ft
Setting h(t) to zero:
0 = -16t² + 2,304
Now, we can solve this quadratic equation for t.
-16t² + 2,304 = 0
Dividing both sides by -16:
t² - 144 = 0
Adding 144 to both sides:
t² = 144
Taking the square root of both sides:
t = ±12
Since time cannot be negative in this context, we discard the negative solution.
Therefore, the pebble will hit the ground after 12 seconds.
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In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?
Answer:
Step-by-step explanation:
Answe is 0.74
Answer:
cosL=adjacenthypotenuse=817≈0.4706≈0.47cosL=hypotenuseadjacent=178≈0.4706≈0.47
Step-by-step explanation:
KLM15817(opposite of ∠L)(adj. to ∠L)(hypotenuse)Find cosLFind cosLSOH CAH TOASOH CAH TOA
cual es la fraccion intermedia de 2\4 y 3\4
Answer:
10t-2b-2
Step-by-step explanation:
5+2-2123
which of the following is the equation of the line that creates the x-axis?
(1) y=0
(3) y=x
(2) X=0
(4) y=x+1
The equation of the line that creates the x-axis will be y = 0. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line with the x-axis will be zero. Then the equation is given as,
y = (0)x + c
y = c
The x-axis is passing through the origin (0, 0), then the value of the variable 'c' is given as,
0 = c
Then the equation is written as,
y = 0
The equation of the line that creates the x-axis will be y = 0. Then the correct option is A.
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28 students travel on a field trip. They bring a van that can seat 12 students. Elena and Kiran's teacher asks other adults to drive cars that seat 3 children each to transport the rest of the students.
Answer:
Step-by-step explanation:
Yes, she can use this inequality and it does matter since the number of cars that the inequality provides will need to be equal to or more than that number in order for all the students to be able to go. Therefore, if we apply the inequality it would give us the minimum number of cars needed (n) like so
12 + 3n > 28 ... subtract 12 on both sides
3n > 16 ... divide both sides by 3
n > 5 1/3
Since there can't be 1/3 of a car and the number of cars needed must be higher than 5 1/3 then we would need a total of 6 cars to take all of the children.
A diameter is a chord.
True or false and why?
Answer:
true.
A chord that passes through the center of a circle is called a diameter and is the longest chord.
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.
i hope this helps you. :)
PLEASE HELP!!!!!!!!Drag the number cards to create a correct sentence
The sequence that fulfills all the conditions is 4% of 250 = 10.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the table and a bit of thinking, we can construct a sequence that has whole value and percentage value as integers.
After trying with different sequences and by hit and trial we found a sequence that is,
4% of 250 = 10 which fills all the conditions.
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2.
Find the slope of the line.
A. 0
B. -2
C. Undefined
D. 2
Answer:
A. 0
Step-by-step explanation:
2-2/4-(-5)=0/9
Answer:
Answer: Undefined
Step-by-step explanation:
Its undefined because the line is vertical. This is also why the answer isnt zero.
Hope this helps (:
Rewrite the following equation in slope-intercept form.
16x + 10y = 15
plz help
Answer:
im not sure im really sorry
Step-by-step explanation:
im answering this because i have the same question
If Raelynn had 2,000 apples and she made apple juice which takes 100 apples to make, how many bottles of apple juice will Raelynn have?
PLEASE HELP! I WILL MARK BRAINLIEST IF CORRECT!
The chart below displays information regarding the number of picture frames sold by a store in a given month.
According to the chart, what fraction of the frames sold during the four-month period were sold in march? Hint: Determine the total number of frames sold and then write a fraction with March/total and simplify.
a. 3/10
b. 1/4
c. 1/5
d. 1/6
e. 1/10
Answer:
1/4
Step-by-step explanation:
Calculate the frames of each month:
January = 350
February = 100
March = 250
April = 300
Solve
[tex]\frac{March}{Total} = \frac{250}{350 + 100 + 250 + 300} = \frac{250}{1000}[/tex]
Simplify
[tex]\frac{250}{1000} = \frac{25}{100}= \frac{1}{4}[/tex]
At a used bookstore, Cindybought 2 paperback books for $1.75 and some children’s books for $0.75 each, including tax. She spent a total of $5.75. How many children’s books did Cindybuy?
Answer:
3
Step-by-step explanation:
5.75 - (1.75 × 2) = 2.25
2.25 ÷ 0.75 = 3
Answer: Cindy bought 3 children books.
Step-by-step explanation:
$1.75 + $1.75 = $3.50
$5.75 - $3.50 = $2.25
$2.25 ÷ $ 0.75 = 3
Please help
How can you describe the graph of the equation y = mx? Explain
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
hope this helps.
:)
Order the value of the quotient from the smallest (top) to largest (bottom)
2/7 divided by 4/5
1 6/7 divided by 3
6/11 divided by 2 2/3
3/10 divided by 1/8
Answer:
6/11 divided by 2 2/3 (=9/44)
2/7 divided by 4/5 (=5/14 or 15/42 scaled up)
1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)
3/10 divided by 1/8 (=2 2/5)
Step-by-step explanation:
You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)
2/7 divided by 4/5= 2/7 x 5/4
Multiply straight across the top, 2x5= 10
10 is the numerator
Now multiply straight across the bottom.
7x4= 28
28 is the denominator.
10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.
For mixed numbers, you first have to make them improper fractions.
Ex: 2 2/3
Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)
3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.
Suppose that we agree to pay you 9¢ for every problem in this chapter that you solve correctly and fine you 5¢ for every problem done incorrectly. If at the end of 42 problems we do not owe each other any money, how many problems did you solve correctly?
Good night! I need helppppp with math, easy for most people, just not for me lol
Answer:
3/4 should be left in the bottle
How do I simplify 6x+4x-10(2)
Answer:
10x-20 uhhh yeah that's the answer
find the radian measure of a central angle of a circle with the radius of 13 feet that intercepts an arc of length 26 feet
Answer:
0.64π rad
Step-by-step explanation:
The formula for calculating the length of an arc is expressed as;
length of an arc = theta/360 * 2πr
r is the radius = 13 feet
arc length = 26feet
Substitute
26 = theta/360 * 2(3.14)(13)
26 = 81.64 theta/360
81.64 theta = 26 * 360
81.64 theta = 9360
theta = 9360/81.64
theta = 114.64
Hence the radian measure is 114.64/180 π = 0.64π rad
How many t-shirts could be made where the cost would be the same from both companies?
What are the values of T and U?
Answer:
u+133°=180
u=180-133
u=47°
Answer:
U = 47
T = 86
Step-by-step explanation:
133 + U = 180 ( straight line)
or, U = 180 - 133
or, U = 47
Being isosceles triangle
47 + 47 +T = 180
or, 94 + T = 180
or, T = 180 - 94
or, T = 86
hope it will help you
What is the slope of a line passing through these points (-1,-5) (-4,5)
Answer:
-10/3
Step-by-step explanation:
(5+5)/(-1+4)=10/3
Answer: Slope is 10/-3
Step-by-step explanation:
Slope formula = Y² - Y¹ divide by X² - X¹
= 5 - (-5) divide by -4 - (-1)
= 10/-3
Slope is 10/-3
Systems of equations by substitution
Answer:
(-2,1)
Step-by-step explanation:
Substitute the value of y (x+3) from one equation into the second equation (2x+5)
X+3 = 2x + 5
add -2x to both sides
-x+3=5
add -3 to both sides
-x=2
x=-2
substitute -2 for x in either equation to find y.
y=-2+3
y=1
Check your answer by substituting x and y into either equat to make sure it equals.
y=x+3
1=-2+3
1=1
or
y=2x+5
1=2(-2)+5
1=-4+5
1=1
Please help on this question:
Answer:
Step-by-step explanation:
What is the perimeter and area
Answer:
Perimeter = 18
6 + 6 + 3 + 3=18
Area= 18
6 x 3 = 18
Step-by-step explanation:
I hope this can help!!!
One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.
Answer:
90 total teachers
Step-by-step explanation:
The total number of teachers at the school is 90 whereas there are 36 female and 54 male teachers.
Probability-based problem:What information do we have?
Probability teacher is female = 3/5
Number of male teachers = 36
Probability teacher is male = 1 - (3/5)
Probability teacher is male = 2/5
Total number of teacher = (5/2)(36) Total number of teacher = (5)(18)Total number of teacher = 90 teachers
the total number of teachers in the school is 90 teachers.
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I’m very confused please help!
Answer:
x=2, y=-2
Step-by-step explanation:
Mathew used his computer for 2 1/8 hours Tuesday evening and 2 1/4 hours on Wednesday evening. Which is the best estimate of the time Mathew used his computer on Tuesday and Wednesday evenings?
Answer:
He should use the computer less.
Step-by-step explanation:
It is bad for mathews eyes.
solve systems substitution. y=4x-13 3x-3y=12
I have no clue but i wish you the best of luck
help me broskiiiii...
Answer:
The answer is 36
Step-by-step explanation:
Brainlest pls :)
A university has 40,140 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages.
Answer:
2676 students
Step-by-step explanation:
Total number of students =. 40,140
During study:
Sample size = 210
Number of samples who speak 3 or more languages = 14
Proportion who speak 3 or more languages :
14 / 210 = 0.0666666
Applying the proportion to the total. Population :
0.0666666 * total number of students
0.0666666 * 40140
= 2675.997324
= approximately 2676 students
Tom is a sales person who earns a 15% commission on his sales amount. If he earned $2,250, what was his total sales amount?
Answer:
33750
Step-by-step explanation: