Answer:
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Step-by-step explanation:
Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:
[tex]v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})[/tex] (1)
Where:
[tex]s_{o}[/tex], [tex]s_{f}[/tex] - Initial and final position of the softball, measured in feet.
[tex]a[/tex] - Acceleration, measured in meters per square second.
[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final velocities of the softball, measured in feet per second.
If we know that [tex]v_{o} = 50\,\frac{ft}{s}[/tex], [tex]a = -32.174\,\frac{m}{s^{2}}[/tex] and [tex]s_{o} = 4\,ft[/tex], then the equation that models the situation is:
[tex]v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)[/tex]
Then, we clear the final position of the softball:
[tex]-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4[/tex]
[tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex]
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Help I need answers plzplzplz
Answer:
(2,0) , (4,-20) and (-1,-1)
Step-by-step explanation:
I will give you brainlest plzzzz helppp!!!
Answer:
∠GEF = 25
Step-by-step explanation:
Here, we want to find the value of the marked angle
Please check the attachment for the diagrammatic representation of the triangle
Mathematically, the sum of opposite interior angles equals the exterior angle
We can have this sum as follows;
∠EFG + ∠GEF = ∠FGH
Thus;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
6x-3x = 20-2
3x = 18
x = 18/3
x = 6
Now , substitute x into the ∠GEF
That will be;
6 + 19 = 25
question;
3^n-3^n-1 ÷3^n+1+3^n
plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !
plz fast!!!!!
Answer:
okay so I am assuming we are dividing okay so here is how we will do it
here are the top and bottom values written more easily
3^n -3^n-1
3^n+1 +3^n
so first we can cancel out the 3^n values then get left with this
3^n-1
3^n+1
now it depends on the instructions but you can leave it like this or you can subtract their powers to get
3^n-2
Step-by-step explanation:
Is (3, 1) a solution to the equation y = 3x?
Answer:
no
Step-by-step explanation:
it does not fall on the line
help with this homework thanks
Answer:
240
Step-by-step explanation:
3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.
I need to drag the AB,BC,CA or the numbers to the right place pls help
Answer:
I think option 3 hope it helps
Step-by-step explanation:
WHAT IS THE ANSWER BECAUSE I POSTED THIS LAST TIME AND NO-ONE KNEW PLZ
Answer:
I think Paolo read more
Step-by-step explanation:
Because 35 percent of 40 equals 14, and Kamesh read 12 so Paola has read 2 more books than Kamesh.
How does the percent equation relate proportional quantities?
Answer:
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
Step-by-step explanation:
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.
what was the scale factor? Show how you found your answer.
A(0,0) A’ (1.4)
B (4,0) B’ (9.4)
C (0.3) C’ (1.10)
PLEASE HELP
Answer:
2
Step-by-step explanation:
The scale factor is two since it's 2 times bigger than the actual figure.
Proof:
A to B = 4 units
A' to B' = 8 units
A to C = 3 units
A' to C' = 6 units
See how it keeps multiplying by 2.
4 x 2 = 8
3 x 2 = 6.
Ace Carlos
Write an expression for the area of this rectangle, multiplying out your answer
(x+3) x (x+2)
Step-by-step explanation:
it should be *(x+3) x (x+2)* because area of rectangle = length x breadth
Write an equation of the line in slope-intercept form.
f(3)=-2, f(0)=1
Answer:
The equation of the line in slope-intercept form is y = -x + 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(3) = -2 is the point (3, -2)
∴ f(0) = 1 is the point (0, 1)
∴ x1 = 3 and y1 = -2
∴ x2 = 0 and y2 = 1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the value of y at x = 0
∵ at x = 0, y = 1
∴ b = 1
∴ y = -x + 1
∴ The equation of the line in slope-intercept form is y = -x + 1
Slope of a line with one point at (2,1) and another at (5,3)
Answer:
Step by step in image below. Hope this helps
Step-by-step explanation:
Evaluate the expression 2n - 6 if n = 16.
Answer:
[tex]26[/tex]
Step-by-step explanation:
[tex]2n-6[/tex]
Given that:
[tex]n=16[/tex]
To evaluate the expression, we must simply substitute the given value of [tex]n[/tex], which is [tex]16[/tex], for [tex]n[/tex]:
[tex]2(16)-6[/tex]
Multiply:
[tex]32-6[/tex]
Subtract:
[tex]26[/tex]
-
To check your work, simply set the given expression equal to our solution, [tex]26[/tex]:
[tex]2n-6=26[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]2n=32[/tex]
Divide both sides of the equation by the coefficient of [tex]n[/tex], which is [tex]2[/tex]:
[tex]n=16[/tex]
Since it matches the given value of [tex]n[/tex], our solution is correct!
Answer:
26
Step-by-step explanation:
This is the answer because:
1) First, we have to substitue the value that stand for n into the equation:
2(16) - 6
2) Next, we have to follow the order of operations in order to find the answer:
1. 2 x 16 = 32
2. 32 - 6 = 26
Therefore, the answer is 26.
Hope this helps! :D
40 is what percent of 160?
Answer:
25
Step-by-step explanation:
percentage calculator 40 is what percent of 160=25;)
Answer:
40/100×160
Step-by-step explanation:
2/5×160
320/5
64
which is not true about the solution to the equation? x+2.27=1.53
Answer:
x = - 0.74
Step-by-step explanation:
Which point on the graph represents they-intercept
Answer: W is the correct answer just for clarification.
Step-by-step explanation:
ahh help A, B, and C please
Answer:
a= -11
b= -1/5
c= 3 1/8
Step-by-step explanation:
a- a negative plus a negative always equal a negative
Answer:
a. -11
b. -1/5
c. -25/8
Step-by-step explanation:
a. -5 - 6
= -11
b. 2/5 - 3/5
= 1/5
c. -4(1/4) - ( 1(1/8))
= -17/4 - 9/8
= -34/8 - 9/8
= -25/8
In one week the price of gasoline rose from $1.71 to $2.15 at BJs. What is the percent of change?
Answer:
25.731% increase
Step-by-step explanation:
(V2−V1)|V1|×100
=(2.15−1.71)|1.71|×100
=0.441.71×100
=0.25731×100
=25.731%change
=25.731%increase
Answer:
.44=44%
Step-by-step explanation:
just subtract both numbers and you get how much they added but then again it depends so my answer my not be right but give it a try if you like
Which shape has four congruent sides and two sets of parallel sides?
quadrilateral
rectangle
parallelogram
rhombus
Answer:
The other prson is right. Its parallelogram
Step-by-step explanation:
a $320 dollar suit is marked down by 30%, find the sales price
Answer:
$224
Step-by-step explanation:
320(0.3) =96
320-96 = 224
Answer:
The answer is $96.
Step-by-step explanation:
Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.
Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
PLEASE HELP
Answer:
Solution graph is attached in the answer area.
And one possible solution is (9, 2).
9 number of dimes and 2 number of nickels.
Step-by-step explanation:
Given that:
Number of dimes = [tex]a[/tex]
Number of nickels = [tex]y[/tex]
Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.
i.e. the inequality can be written as:
[tex]a+y \leq 12[/tex] ...... (1)
One dime is worth 10 cents or $0.10.
[tex]a[/tex] number of dimes are worth $0.10[tex]a[/tex].
One nickel is worth 5 cents or $0.05.
[tex]y[/tex] number of nickels are worth $0.05[tex]y[/tex].
Second inequality can be written as:
[tex]0.10a + 0.05 \ge 0.85[/tex]
OR
[tex]2a+y\ge17[/tex] ...... (2)
[tex]a \ge 0, y \ge 0[/tex] ...... (3)
When we graphically represent the inequalities, the graph attached in the answer area represents the answer.
One solution is (9, 2).
9 number of dimes and 2 number of nickels.
Find 30% of 320. Explain all your work
Tyler has a baseball bat that weighs 44 ounces Find it’s weight in kilograms
Answer:
1.25 (2 decimal places)
Step-by-step explanation:
Divide the ounces by 35.274
ANYONE can help me out pleaseee
The number is scientific notation is written as a decimal. Click on the position of the decimal?
9.04 x 10 ^1
00009040000
Answer:
.00009494949
Step-by-step explanation:
this may be wrong
Best answer gets brainliest hurry ASAP
Answer:x=18
Step-by-step explanation:
x=\frac{36}{2}
Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.
If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?
Answer:
0.25y
Step-by-step explanation:
Please help me out.
Answer:
i think its the 3rd one or the second one........
Step-by-step explanation:
if im wrong pllzzzzz dont report me....
Mrs. Johnson borrows $1400 with an interest rate of 5.5%. How much interest does she pay if she pays off the debt in 8 months?
Answer:
$616 in debt
Step-by-step explanation:
5.5% is equal to 0.055 so you multiply that by $1400 to get $77.
$77 is the interest rate.
You then multiply $77 by 8 months.
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Given:
The equation is
[tex]2(x+14)=40[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]2(x+14)=40[/tex]
Using distributive property, we get
[tex]2(x)+2(14)=40[/tex]
[tex]2x+28=40[/tex]
Subtracting 28 from both sides.
[tex]2x=40-28[/tex]
[tex]2x=12[/tex]
On dividing both sides by 2, we get
[tex]x=6[/tex]
Therefore, the solution of the given equation is x = 6.