Answer:
[tex]t = 4\\[/tex]
or
[tex]t=0.6875[/tex]
Step-by-step explanation:
[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]
Solving for t using the quadratic formula we get:
[tex]t = 4\\[/tex]
or
[tex]t=0.6875[/tex]
The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.
What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.The function given for the height of the ball thrown is;
h(t) = -16t^2+75t+80
In which, h is the height in feet,
t, is the time till ball is in air( in seconds. )
When height h = 124 feet.
Time t = ?
Put h = 124 in the given equation.
124 = -16t^2+75t+80
On solving.
-16t^2+75t-44 = 0.
16t^2 - 75t + 44 = 0.
Solve the quadratic equation by the quadratic formula,
t = 4 and t = 0.68 seconds.
Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.
To know more about the function, here
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If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?
Answer:
฿₹Ø: 1391 US$
Step-by-step explanation:
Choose the best equation to solve for x
Answer:
sin x = 80/100
Step-by-step explanation:
sin = opp/hyp
sin x = 80/100
One ticket will be drawn from a total of 200. If Maureen has 4 tickets what is the probability she will win?
Answer:
50
Step-by-step explanation:
she would have a 50 percent chanse of wining cause its like division so 4 divided by 20 is 50 unless i am wrong whoever can write the right answer.
Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.
Answer:
dependent & changes by a constant rate
Step-by-step explanation:
dependent because it involves something that involves something else
It takes 4 people 2 days to build a wall.
How long would it take for 2 people to build the same wall.
Give your answer in days.
Answer:
I believe it would be 8 days.
Step-by-step explanation:
pleas help mee due tonight
Answer:
105.6ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = 4s
P = 26.4 x 4
P = (26 x 4) + (0.4 x 4)
P = 104 + 1.6
P = 105.6 ft^2
Help meeee and I didn't mean to press that answer
Answer:
B, rhombus and rectangle
Step-by-step explanation:
Why?
Because you can see none of their opposite lines intersect and they run on.
ace please help
what data from the table provides evidence of no association between living city a and being left handed
Answer: A
Hope this helps
Help me with this please!!!!!!!!!!!!!
Answer:
1mm
cos(60)= 1/2
1/2 x 2 = 1
1 mm
PLSSSS HELP ME !!!! Need ASAP Which pair of figures shows a dilation with a scale factor
of 1 1/2centered at the origin?
Answer:
Figures ABC and DEF
Step-by-step explanation:
Why is there a hole in your screen?
Answer:
The answer is QRS and TRU !!
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
The answer is [tex]2\frac{1}{12}[/tex]
Step-by-step explanation:
Answer:
25/12
Step-by-step explaining.
mark brainiest
-6 ( x – 8) = 60
Show steps
Answer:
-6(x-8)=60x-8= -10x= -10+8x= -2hope it helps...
Answer:
-2
Step-by-step explanation:
-6 ( x - 8) = 60
• divide -6 on both sides
-6 and -6 cancel out and 60 ÷ -6 = -10
• your new equation is now x - 8 = -10
• add 8 to both sides x - 8 = -10
+8. +8
• x = -2
Only answer if you're sure you have the correct answer for this problem, please solve correctly.
Answer:
first option: m= 532 - 57h
Step-by-step explanation:
comment if u need explanation :)
Divide the following complex numbers 30+20i/1+5i
Find the center and radius of this
circle.
Tabitha's grandmother lives 5 miles from Tabitha's house. How many kilometers does
Tabitha's grandmother live from Tabitha's house? Use a ratio to find the solution. (Use 1 mile =
1.61 kilometers)
PLEASE NO LINK
Find the length of side x in simplest radical form with a rational denominator.
45
X
45°
V2
Answer:
Step-by-step explanation: 3√2
find the volume of the shape.
Answer:
70148.06
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
10x90=900
so the answer is 900
is anyone else airpods not working like one ear not work and the case not charging
Answer:
ur airpods are broken if the case and 1 ear aint working
Step-by-step explanation:
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Alyssa paid 50 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
Answer:
4 hours
Step-by-step explanation:
Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x
Where,
x = number of hours for renting the bike
Alyssa paid 50 dollars to rent a bike.
How many hours did she pay to have the bike checked out ?
C = 18 + 8x
50 = 18 + 8x
Subtract 18 from both sides
50 - 18 = 18 + 8x - 18
32 = 8x
Divide both sides by 8
32 / 8 = 8x / 8
4 = x
x = 4 hours
need help ace plsss plssssssssssss
A -22
b 4.67
c 8.5. d 31 e 53
Answer:
A. -22
hope this helps
have a good day :)
Step-by-step explanation:
Does (7, 8) make the equation y = x + 5 true?
Answer:
..
Step-by-step explanation:
no the correct point would be (7,12)
7x1=7
7+5=12
Answer:
nop0e
Step-by-step explanation:
Help asap , this is super confusing
Answer:
7x^5
Step-by-step explanation:
just is
Answer:
The answer is -[tex]-7x^{2}[/tex]
Step-by-step explanation:
By finding alike terms and combing them, you can figure out that -[tex]-7x^{2}[/tex] is the correct answer.
Solve 5x Divide 6 = 20.
The solution is x =____?
Answer:
69
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]
Name the integer that is 2 more than the opposite of -4.
Answer:
6
Step-by-step explanation:
the opposite of -4 is 4 and then add 2
Answer:
Yeah 6
Step-by-step explanation:
Exact same steps as the person above :)
Good luck!!
What is the Surface Area Formula for a Square Pyramid? I need the formula
Answer:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
2-(x+1)/(x-2)-(x-4)/(x+2)can be written as a single fraction in the form (ax+b)/(x^(2)-4) where a and b are intergers
Answer:
a = 3, b = -18
Step-by-step explanation:
You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:
[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]
[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]
Now we can rewrite the equation:
[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]
and combine the terms with the same denominator:
[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]
[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]
Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].
[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]
And simplify:
[tex]\frac{3x-18}{x^2-4}[/tex]
a = 3, b = -18
The value of the integers a and b are 3 and - 18 respectively.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .
The first one can be written as :
= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]
= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]
and the second one can be written as :
= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]
= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]
The expression will be :
= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]
= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]
= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]
= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]
By simplifying it , we get :
= [tex]\frac{3x-18}{x^{2} - 4}[/tex]
If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :
[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]
or
3x - 18 = ax + b
or
The values of a and b are :
a = 3 and b = -18.
Therefore , the value of the integers a and b are 3 and - 18 respectively.
Learn more about algebraic expressions here :
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will name the brainliest
Answer:
Tan(A) = [tex]\frac{8}{15}[/tex]
Hope it helps!
can anyone please help me I'm timed
Answer:
Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.
Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.
Answer:
yes it's all correct good luck
Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges.
Which system of equations represents this situation?
A
$~3x+4y=4.75~$
$~5x+2y=4.25~$
B
3x+4y=4.25
5x+2y=4.75
C
4x+3y=4.75
2x+5y=4.25
D
4x+3y=4.25
2x+5y=4.75