Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?
The measure of the third angle is (Simplify your answer.)
Answer:
50
Step-by-step explanation:
Triangle=180 degrees
96+34=130
180-130= 50
50 degrees is the third angle
Candace is visiting a local water park. The table shows information about the number of hours ( input values) and the total cost (output values)
Can anyone help??
(it’s a timed quiz)
Answer:
B. Domain: {1, 3.5, 5, 7.5, 9}
F. Range: {2, 6.50, 7.00, 9.00, 12.50}
Step-by-step explanation:
The set of input values make up the domain of the function, while the corresponding set of output values is the range of the function.
That is, the domain is the number of hours, while total cost is the total cost.
Domain would be: {1, 3.5, 5, 7.5, 9}
Range would be: {2, 6.50, 7.00, 9.00, 12.50}
The given table of values represents a linear equation. What is the slope?
A. 4
B. 5
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
Formula for slope is given as [tex] m = {y_2 - y_1}{x_2 - x_1} [/tex]
The coordinates of any two points can be used in this formula. Let's use, (1, 5) and (2, 8).
Let,
[tex] (1, 5) = (x_1, y_1) [/tex]
[tex] (2, 8) = (x_2, y_2) [/tex]
Plug the values into the formula:
[tex] m = {8 - 5}{2 - 1} [/tex]
[tex] m = {3}{1} [/tex]
[tex] m = 3 [/tex]
Mitchell needs to buy some wood to build a rectangular box that is 12 inches long, 8 inches wide, and 10 inches high.
How many square inches of wood would Mitchell need to build the box?
Answer:
Im not for sure but wouldnt it be 30 sqaure inches
Step-by-step explanation:
I need help ASAP please
so the answer is....I think by putting the value 4 for X we get 5/11
What is the value of the expression below?
(9 divided by 3) + 4 (6 minus 7)
–7
–1
7
20
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
9/3= 3, and 4(6-7)=-4. 3+-4 (or 3-4) is -1.
Convert 35 kilometers to miles
Answer:
The answer would be 21.248 miles
Answer:
35 kilometers = 21.748 miles
The packages of wrapping paper cost $2.75 per package. At the last moment, Sally notices gift bags that cost $4. 99. Is it cheaper to wrap the CD or put it in a gift bag? Explain your answer.
Answer:
It would be cheaper to wrap the CD in wrapping paper
Step-by-step explanation:
$2.75 is cheaper than $4.99
So $2.75 is cheaper than $4.99 by $2.44
Find the slope of the line through each pair of points.
(1,19) , (1,-7)
Answer:
undefined (that's the actual answer)
Step-by-step explanation:
Use the figure to find the measure of angle 2
5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?
Answer:
13 weeks
Step-by-step explanation:
5 times 13= 65 +87= 152
8 times 13 = 104+58=152
Answer:
Week 4
You have to make a function table.
Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10
per week. In how many weeks will you have the same amount of money?
Answer:
9 weeks
Step-by-step explanation:
5x+75=10x+30
-5x -5x
75=5x+30
-30 -30
45=5x
÷5 ÷5
9=x
x=9
it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.
Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:
Amount of money in your account = $75 + $5x
For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:
Amount of money in your friend's account = $30 + $10x
To find the number of weeks where you both have the same amount of money, we set up the equation:
$75 + $5x = $30 + $10x
Simplifying the equation:
$5x - $10x = $30 - $75
-$5x = -$45
Dividing both sides of the equation by -5 gives us:
x = 9
Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
Learn more about amount here
https://brainly.com/question/16122476
#SPJ2
Find the value of each power
Answer:
(20). 256^0 = 1
(21). 10^2 = 100
(22). 4^4 = 256
(23). 3^5 = 243
Step-by-step explanation:
(20). 256^0 = 1
(21). 10^2 = 10*10 = 100
(22). 4^4 = 4*4*4*4 = 256
(23). 3^5 = 3*3*3*3*3 = 243
Help I do not know this question.
Answer:
A
Step-by-step explanation:
The team goes from 0 --> +25 and then goes from +25 --> 0 because they lost 25 from their new position.
2.(03.01)
The range of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is (1 point)
O {-1, 1, 3}
O {-1,-1, 1, 3}
O {-4, -2, 2, 2)
O {-4, -2, 2}
I will mark as brainliest
Answer:
{-4,-2,2}
Step-by-step explanation:
The figure below shows a hexagonal prism. Imagine a cross-section of the prism formed by a plane that is perpendicular to the bases of the prism. What must be true about the cross section.
Answer:
Hexagon
(Sorry for the late answer,
this'll help kids in the future who google this, at least.)
It's a hexagon
Sorry I'm late (◞‸◟ㆀ)
Graph the line with the slope of 3/5 and goes through the point (1,2)
Answer:
Here's a screenshot of the correct line:
The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}[/tex]
Solve for x: 1/8(8x+15)=24
Answer:
Exact form:
x= 177/8
Decimal Form:
x=22.125
Mixed Number Form:
x= 22 1/8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Evaluate the function, f(x) = 3x + 1, for f -2/3
3
7
-1
-5/9
Answer:
To find the inverse, interchange the variables and solve forPLEASE HELP ON THIS ONE
On average, Ethan drinks 3/4 of an 10 ounce glass of water in 2 minutes how many glasses of water does he drink in one hour
Answer:
22.5 glasses of water
Step-by-step explanation:
Because 3/4 of 10 is 7.5 and if he drinks that every 2 min you have to multiple 7.5 by 30 because 60/2 is 30 which is the amount of min in an hour. when you multiple, you get 225. you have to divide that many oz by 10 because that is how many oz are in a glass and you get 22.5 glasses.
Will give brainliest, like, comment and 5 points for the best answer
Could you please help me with this question:
Answer:
$1.80, $2.90, $4.00, $10.90
Step-by-step explanation:
For 9/10 mile, the price will be $1.80. For 2 miles, the price will be $2.90. For 3 1/10 miles, the price will be $4.00, and for 10 miles, the price will be $10.90. The relationship between distance travelled and the price is not proportional because it costs $1.00 for the first 1/10 mile and then for every additional 1/10 mile, it only costs $0.10. Hope it helps!
(7⋅7)⋅(2⋅5) what property is this
Answer:
commutative property of multiplication
Step-by-step explanation:
1+1
try to guess :) you will get 33 points
Answer:
69?
Step-by-step explanation:
Explain why the equation 6x+3=6x−5 has no solutions.
Answer:
Because 6X will cancel out, leaving you with no x. And 3 does not equal -5.
Step-by-step explanation:
6X + 3 = 6X -5
-6X -6X
3= -5 (not true)
-8 + k = -17
What is k to make this equation true
Answer: The answer is k= -9
Step-by-step explanation:
this is how you solve it :
-8+k=-17
so then you add 8 to both sides so it would look like
-8+k+8=-17+8
then you simplify
after you simplify it would equal k=-9
THATS ALL :) have a good day
also could you please make me brainleast ???
Is x=-3 a solution of the equation 2x+4=8+x? Show work
For pre algebra
Answer:
x= 4 is a solution
Step-by-step explanation:
Answer:
When x = -3 is given, all you need to do is substitute and check if the answers in LHS and RHS are equal.
2x+4=8+x
2(-3)+4=8+(-3)
-6+4=8-3
-2 [tex]\neq[/tex] 5
NO SOLUTION
Use the graph and the translation (x,y) (x+1,y+4) to answer parts a and b below
Answer:
Step-by-step explanation:
Enter the image of each vertex as an ordered pair.
A -> A = (-7,7)
B -> B = (-1,3)
C -> C = (-4,2)
Graph the pre-image and image of ABC. Choose the correct graph below.
Answer is C
PLEASE HELP, ASAP!!!! eighth grade math. please don’t skip i’ve been trying to keep repost this so i can get an answer:(
What is the largest integer value of n for which 3√ n is less than √ 200? Be sure to explain how you got your answer.
Step-by-step explanation:
[tex]3 \sqrt{n} < \sqrt{200} \\ \sqrt{n} < \sqrt{200} \div 3 \\ \sqrt{n} < \sqrt{200 } \times \sqrt{1 \div 9} \\ \sqrt{n} < \sqrt{200 \times (1 \div 9)} \\ \sqrt{n } < \sqrt{22} \\ n < 22 \\ n = 21[/tex]
200/9=22.22222
so i took the nearest number 22 just to make it easy. I think there is no problem.
liniar systems
3x-2y=-7
2x+5y+=8
Answer: 3x-2y=-7= Slope = 3.000/2.000 = 1.500
x-intercept = -7/3 = -2.33333
y-intercept = 7/2 = 3.50000
2x+5y+=8
Slope = -0.800/2.000 = -0.400
x-intercept = 8/2 = 4
y-intercept = 8/5 = 1.60000
Step-by-step explanation:
What is the slope of the line shown