Answer:
[tex]t = 2.57[/tex]
Step-by-step explanation:
Given
[tex]h=-16t^2+12t+75[/tex]
Required
Determine the time to hit the ground
The ground is at point 0.
So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t
[tex]0=-16t^2+12t+75[/tex]
Multiply through by -1
[tex]0=16t^2-12t-75[/tex]
Reorder
[tex]16t^2-12t-75 = 0[/tex]
Solve using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16; b = -12; c = -75[/tex]
[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]
[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]
[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]
[tex]t = \frac{12\±70.31}{32}[/tex]
Split:
[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]
[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]
But time (t) can't be negative;
So, we make use of only
[tex]t = \frac{82.31}{32}[/tex]
[tex]t = 2.57[/tex]
Hence, the time to hit the ground is 2.57 seconds
A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?
Answer:
It dosent say at this rate so all you need is this
Minutes/ questions which your answer is
75/30
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.
Answer:
You need to buy 12 books to get a $15 coupon.
Step-by-step explanation:
Giving the following information:
You get a $5 coupon for every 4 books you buy.
First, we need to structure the total coupon formula:
Total coupon= 5*x
x= pack of four books
Now, for $15
15 = 5x
15/5= x
3= x
4*3= 12
You need to buy 12 books to get a $15 coupon.
please HELP ASAP
What is the missing side, x?
Answer:
76
Step-by-step explanation:
Write the equation o
Answer:
sorry i need the points for school
Step-by-step explanation:
have a great day
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-(-4))/(6-(-2))
m=(0+4)/(6+2)
m=4/8=1/2
y-y1=m(x-x1)
y-(-4)=1/2(x-(-2))
y+4=1/2(x+2)
y=1/2x+2/2-4
y=1/2x+1-4
y=1/2x-3
Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method
Answer:
64 higene
Step-by-step explanation:
16 morderate 20 9 oxygen
Which shape has six square, flat sides that are equal in size?
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.
It's takes two scoops of detergent for every three scoops of fabric softener if there are 28 scoops of detergent remaining, how many scoops of fabric softener will be needed
Answer: 42
Step-by-step explanation:
The ratio scoops of detergent to scoops of fabric softener is 2:3.
If there are 28 scoops of detergent remaining, the number of scoops of fabric softener will be needed will be:
= (28/2) × 3
= 14 × 3
= 42 scoops of fabric softener
Sam buys several pairs of jeans for $16.50 each, and a shirt for $25. Louis goes to a different store and buys the same number of jeans as Sam for $17.50 each, plus a shirt for $15. Is there a situation where both will pay the same amount for their purchases?
HELP MEEEE I HAVE TO TURN IT IN IN 10 MINUTES
What is the answer for X and Y
(Geometry)
Answer: y =21; x = 7√3
have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3
sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21
Step-by-step explanation:
hospital pays $9 for each set of scrubs plus a delivery fee of $13 per order the total cost for the scrub order was $463. how many sets of scrubs did the hospital order?
Answer: 50 sets
Step-by-step explanation:
Scrubs=9x fee=13 total=463
463-13 dollar fee =450 450/9 equals 50 sets of scrubs to check it do 9x+13=463 x=50 so 9(50)+13=463 then 450+13=463 463=463 :) you're welcome hope it's the right type of math you need!
me being dumb ✌️
The number 93 6_2 is divisible by 4. What are the possibilities for the missing digit?
Answer:
3
Step-by-step explanation:
you can do it sequentially and find a potential solution; when you divide the thing, it looks like this
__2_3_4_0_8________________
4 | 936_2
4
_________
13
12
__________
16
16
-________
0
0
________
32
32
_______
0
Answer:
1, 3, 5, 7, 9
{I guess it's just odd numbers}
Happy Thanksgiving!
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
Which expression completes the statement to form a true equation?
2 + 4 =
25
09
O2 + 9
O3 +9
Answer:
03 +9
Step-by-step explanation:
tell me if it was right and have a nice day ;)
Find the slope of each line.
Hahshxnxjennshsne did. D d d s s d d d
Answer:
are you okay?
Step-by-step explanation:
I LUV MATH TeeHee
i actually hate it-
Answer:
I HATE MATH TeeHee
Step-by-step explanation:
i actually hate it-
ED GE NU IT Y PE OP LE
1.628 > 1.63
I don’t understand math I’m sorry-
Answer:
So that's actually not true. When comparing decimals you should compare each digit. Remember adding a 0 at the end does not change the value of the decimal. So lets look at it up and down:
remember line up the decimal to decimal
1.628
1.630
the first digit is the same. Both of these numbers are also before the decimal.
let's look at the second digit.
1.628
1.630
they are also the same. Both of these are also right after the decimal point.
now let's look at the third digit.
1.628
1.630
In this case, the bottom number has a higher value. Since 3>2, the bottom number is the overall biggest. Or you could look at it and say "Oh! 30 is bigger than 28!" I hope this helps you, and if this wasn't what you were looking for, oops
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:
= 32% × 475
= 32/100 × 475
= 0.32 × 475
= 152 left handed girls
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
At night, the temperature in the fall in lowa is 35°F. During the day, the temperature rises 23°F.
What is the temperature in lowa during the day?
Answer:
58˚F
Step-by-step explanation:
35 + 23 = 58
I hope this helps, have a nice day! :)
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Answer:
Assessment started: undefined.
Item 1
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form by filling in the boxes.
Step-by-step explanation:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft
Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].
Given:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
[tex]d=0.04v^2+1.1v[/tex]
To find:
The stopping distance for a velocity of 10 miles per hour.
Solution:
We have,
[tex]d=0.04v^2+1.1v[/tex]
where, d is stopping distance and v is velocity.
Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.
[tex]d=0.04(10)^2+1.1(10)[/tex]
[tex]d=0.04(100)+11[/tex]
[tex]d=4+11[/tex]
[tex]d=15[/tex]
So, the stopping distance for a velocity of 10 miles per hour is 15 ft.
Therefore, the correct option is c.
A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?
Answer:
0
Step-by-step explanation:
Initial. Position = (- 850) below sea level
Upward movement = 165m
Deownward movement (descent) = (165m
Change in position : net change
Upward movement + downward movement
(165 + (-165)m = (165 - 165)m = 0
26 - 20f = 6 please help me
help me plzzz ;-;" tysm
Answer:
172645 pounds all together
Step-by-step explanation:
Answer:
Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365
Step-by-step explanation:
yw luv ;(
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)
im high & kinda slow help out .
Answer:
In google
Step-by-step explanation:
Is all
Room temperature ranges from 25 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale.
Complete question :
Room temperature ranges from 20 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale
Answer:
68°F to 77°F
Step-by-step explanation:
Given that:
Temperature range in degree celcius :
20°C to 25°C
The temperature range in degree Fahrenheit is :
Using the relation :
F-32=1.8C
20°C :
F-32=1.8(20)
F = 36 + 32
F = 68°
25°C :
F-32=1.8(25)
F = 45 + 32
F = 77°
Hence, range of room temperature in Fahrenheit scale is :
68°F to 77°F
how do u find the sum of (5x-2) + (4x+6)
[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]
Answer:
9x+4
Step-by-step explanation:
First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.
Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.
Now, calculate the sum and you should get 9x+4.