I believe the answer is:
690,000
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 6t + 4. Round your answer to the nearest hundredth.
0.72
0.65
0.35
0.27
Given:
The height of ball is represented by the equation is
[tex]h=-16t^2+6t+4[/tex]
To find:
The time taken by ball to hit the ground.
Solution:
First we need to find the zeroes of the given equation. So, for zeroes h=0.
[tex]-16t^2+6t+4=0[/tex]
Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]
[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]
[tex]t=0.7215,-0.3465[/tex]
Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is
[tex]t=0.7215-0[/tex]
[tex]t=0.7215[/tex]
Round your answer to the nearest hundredth.
[tex]t\approx 0.72[/tex]
So, the ball will hit the ground after 0.72 seconds.
Therefore, the correct option is A.
Answer:
0.72
Step-by-step explanation:
I took the quiz
Solve for a.
1. all real numbers
2. -1
3. 0
4. no solution
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
Can someone please help me ASAP!!
Answer:
[tex]\huge\boxed{7\ \text{inches}}[/tex]
Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
Which is the solution set of a for-3(-x + a) + 7 < 5 when x = -1?
Pls help ASAPPPPPP!!!!!!! 95 pointssss pleaseeee
Answer:
C.
Step-by-step explanation:
3-3a+7<5
3a+7<2
3a>-5
a > [tex]\frac {5}{3}[/tex]
Michael said, “When I divide 6 by 3, 2, or 1, the quotient is less than or equal to 6. If I divide −6 by 3, 2, or 1, I think the quotient should be less than or equal to −6. Do you agree with him? Explain.
Yes and No, if you divide 6 by 3, 2, or 1, it will have a quotient less than 6. Dividing 6 by 3 = 2, 6 by 2 = 3, 6 by 1 = 6.
Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length of fending Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
v
Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula
P = 2(L) + 2(W)
Total Length of the garden =
=
Length = 18.5 feet
Total width of the garden =
=
Width = 9.0 feet
Perimeter of the garden = 18.5 + 9 = 27.5 feet
Mark wants to fence 4 garden
Therefore, 27.5 × 4 = 110 feet.
Mark needs 110 ft. fencing to surround all 4 gardens.
Answer:
4 1/2 +1 1/2= 5 1/2
Step-by-step explanation
Help me in Geometry!!!
I don’t know nothing about this help.
PHOTO ABOVE
Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
CAN SOMEONE HELP ME WITH MY QUESTION PLS?
Answer:
?????????
Step-by-step explanation:
???????????
Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
by completing the square
1. x2 + 5x + 6= 0
cing
Answer:
x=-3 and x=-2
Step-by-step explanation:
I wrote the math down
A culture of bacteria triples by the end of each hour, if there were initially 40 bacteria, how many bacteria should there be after 8 hours?
Answer:
262, 440
Step-by-step explanation:
40 x 3^8
40 x 6561
262, 440
Which one is a better buy A. a bag of 6 oranges for $5.88 or a bag of 10 oranges for $9.20 Show and explain why.
Answer:
a bag of 10 oranges for $9.20
Step-by-step explanation:
5.88 divided by 6= 0.98 and 9.20 divided by 10=0.92 so $0.92 per orange is cheaper than $0.98 per orange.
Factor 9r2 – 36r – 45.
Answer:
9(r - 5)(r - 1)
Step-by-step explanation:
9r^2 - 36r - 45
First, factor out 9
9(r^2 - 4r - 5)
Then you can factor what's inside the parentheses
9(r - 5)(r -1 )
i dont understand the question
Answer:
2 <= to x <= 5
Step-by-step explanation:
/////////////
Pls help me very urgently needed
can someone please please help me i dont understand these problems
Answer:
x=8
7x=56
Step-by-step explanation:
what is 4/6 + 4/8 with unlike denominators
Answer:
7/6 or 1.17
Step-by-step explanation:
i made them have a common denominator of 24 and simplified.
hope this is right and helps! :)
Whole numbers greater than zero are
Answer:
Natural numbers, because they consist of 1, 2, 3, etc...
Answer:
integers
Step-by-step explanation:
integers is what it is called
Does anyone know this?? Pls help!
Answer: x^3 -12x^2+31x-96+ 292/x+3
The remainder is 292
Step-by-step explanation: I used synthetic division to get the answer and got the answer above. I hope this helped :)
Solve the following quadratic equation:
the following quadratic equation: 2x2 - 52 + 2 = 0
Answer:
x₁ = -5, x₂ = 5Step-by-step explanation:
[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]
PLEASE HELP!!! I AM BEING TIMED!
which of the following are Pythagorean triples?
16. What will be the midpoint of AB with A= (-3,-8) and B = (-9,-8)
firewood is usually sold by a measure known as a cord. A full cord may be a stack 8*4
is -3 a solution to the equation 3x-5=4+2x explain PLZ HELP!
Answer:
No, the answer is 9Step-by-step explanation:
Solve equation
3x - 5 = 4 + 2x3x - 5 - 2x + 5 = 4 + 2x - 2x + 5x = 9A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry? Write as an inequality.
Answer:
28 boxes maximumStep-by-step explanation:
Given
Capacity of a boat = 1000 poundsEquipment = 300 poundsBoxes = 25 pounds eachNumber of boxes = xRequired inequality
300 + 25x ≤ 100025x ≤ 700x ≤ 700/25x ≤ 28 boxesWhich graph represents -3x + 5y = -15
Answer:
B
Step-by-step explanation:
The y intercept is -3 because -15/5=-3
The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.
The given equation is -3x + 5y = -15.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Rearrange the given equation that is 5y = -15+3x
y= 3/5 x - 3
Put x=0, y=0-3
y=-3
Put x=5, y=3-3
y=0
Now, the coordinates to plot graph are (0, -3) and (5, 0).
The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
still gonna cry leave step by step pls
Answer: 114
Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.
Answer:
C
Step-by-step explanation:
∠ BHC = ∠ FAB = 48° ( alternate angles )
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABC is an exterior angle of the triangle, thus
∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C
Ruth is buying potatoes. Which is the better buy: a 4-pound bag for $2.40 or a 10 pound $5.20? Explain a time when the wiser purchase may not be the better buy
Answer:
The second option (10 for 5.20) and a time that the wiser purchase may not be a better buy is when they live alone. 10 potatoes is not a reasonable amount.
Step-by-step explanation:
David made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in which 1 inch represents 10 feet. What is the height in inches of David's model?
Answer:
6.7 inches
Step-by-step explanation:
the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.
BRAINLIEST ANSWER! PLEASE HELP!
-2x-10x+12=18
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
x = - 0.5
Step-by-step explanation:
you have to simplify the equation so
[tex] - 2x - 10x + 12 = 18 \\ - 12x + 12 = 18 \\ - 12x = 18 - 12 \\ - 12x = 6 \\ x = \frac{6}{ - 12} \\ x = - 0.5[/tex]
Answer:
X= -1/2 Hope this helps <3
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x−10x+12=18
Step 1: Simplify both sides of the equation.
−2x−10x+12=18
−2x+−10x+12=18
(−2x+−10x)+(12)=18(Combine Like Terms)
−12x+12=18
−12x+12=18
Step 2: Subtract 12 from both sides.
−12x+12−12=18−12
−12x=6
Step 3: Divide both sides by -12.