The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help
Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
What is the solution to the inequality 5.25 - b 2 6.52
+
+→
5
-5 -4 -3 -2 -1 0
1
2
3
4
OH ++
-5 -4 -3 -2 -1 0 1 2
+
3
+
4
5
OA
-5 -4 -3 -2 -1 0 1
2
3 4 5
-5 -4 -3 -2 -1 0 1 2 3 3 4 4 5
Answer:
1st option
Step-by-step explanation:
Solving the inequality
5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )
- b ≥ 1.25
Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.
b ≤ - 1.25
Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.
The solution is represented on the first diagram
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
need help? will get brainlylist
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
Find the value of x.
Answer:
65
Step-by-step explanation:
65+50=115
180-115=65
I need help i'm struggling with this work!
Answer:
Domain: x is greater than or equal to 0
Range: y is greater than or equal to -5
So the answer for domain is e.
And the answer for range is a.
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each. They spent $26.38 total and bought 35 items total. How many candy bars did they buy?
Answer:
22
Step-by-step explanation:
number of gum = x
number of candy bar = y
0.54x + 0.88y = 26.38
x + y = 35
0.54x + 0.88y = 26.38
(+) -0.54x - 0.54y = -18.9
-----------------------------------------
0.34y = 7.48
y = 7.48/0.34
y = 22
Answer: 22
The number of the gum is 13 and the number of the candy will be 22.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.
They spent $26.38 total and bought 35 items total.
Let x be the number of the gum and y be the number of the candy.
Then the equation will be
x + y = 35 ...1
0.54x + 0.88y = 26.38 ...2
By solving the equations 1 and 2, then we have
x = 13 and y = 22
Then the number of the gum is 13 and the number of the candy will be 22.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?
Answer:
336 Peanuts
112 Walnuts
Step-by-step explanation:
So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.
It will look like _ : 224 : _
Next, divide 224 by 2 to get the number of walnuts, the number on the right.
So the number on the right will be 112.
Next, multiply 112 by 3 to get 336.
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
Angel went to the store to buy some chicken. The price per pound of the chicken is $4 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Angel have to pay to buy 2 pounds of chicken? Also, write an expression for the cost to buy p pounds of chicken, assuming at least one pound is purchased.
Answer:
$5.25 for 2lbs
Step-by-step explanation:
C=total cost
C=4p-2.75
---
C=4(2)-2.75
C=$5.25
Answer:
$5.25 the expression is $4p-2.75
Below are two parallel lines with a third line intersecting them.
Answer:
56
Step-by-step explanation:
they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56
two hundred minus the number two
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
Find the length of CD
Anyone.....................
Answer:
[tex] \frac{1}{p - q} [/tex]Step-by-step explanation:
[tex] \frac{ {p}^{2} + 2pq + q}{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{ {p}^{2} +2 \times p \times q+ {q}^{2} }{p^2−pq^2+p^2q−q^3} [/tex][tex] \frac{(p + q {)}^{2} }{p^3−pq^2+p^2q−q^3} [/tex][tex] \frac{( p+ q {)}^{2} }{p(p^2−1q^2)+q(p^2−q^2)} [/tex][tex] \frac{ (p + q {)}^{2} }{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{(p+q {)}^{2} }{(p+q)(p−q)(p+q)} [/tex][tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)
[tex] \frac{1}{p - q} [/tex]Hope it is helpful...A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
the graphs of f(x) =-2x and g(x)=(1/2)^z are shown
Answer:
f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:
sam can walk 1/3 mile in 12 minutes what is her average speed in miles per hour
Answer: 1.67 mph
Step-by-step explanation:
Given
Sam walk one-third of a mile in 12 minutes
There is 60 minutes in an hour i.e. Sam take
[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]
Average speed is given by
[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]
*Brainliest* What is the value of X?
or how do I solve this equation?
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
69+111+12x-3 +111 = 360
Combine like terms
12x+288=360
Subtract 288 from each side
12x+288-288 = 360-288
12x = 72
Divide by 12
12x/12 = 72/12
x = 6
Answer:
x = 6
Step-by-step explanation:
All angles together equal 360
Us this to set up your formula
360 = 111 + 111 + 69 + 12x-3
360 = 288 + 12 x
360 - 288 = 12x
72 = 12x
72/12 = x
6 = x
You could also use the fact that angle t and r are equal to set your formula up as
69 = 12x-3
69+3=12x
72=12x
72/12=x
6=x
someone please help me
Answer:
a. 15%
b. .73
c. 39/100, .39
d. .04, 4%
e. 77/100, 77%
f. 46/100, .46
g. .5, 50%
h. 6/100, 6%
i. 80/100, .8
j. .26, 26%
Step-by-step explanation:
Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.
For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answer:
Fig. 1 :- 7.6
Fig. 2 :- 15
Step-by-step explanation:
We can use Pythagoras theorem to solve for x
[tex]c^{2} =a^{2} +b^{2}[/tex]
Figure 1:
[tex]c^{2} =7^{2} +3^{2}[/tex]
[tex]c^{2} =49+9[/tex]
[tex]c^{2} =58[/tex]
[tex]c=\sqrt{58}[/tex]
[tex]c=7.615773106[/tex]
You can now round your answer:
[tex]c=7.6[/tex]
Figure 2:
[tex]c^{2} =12^{2} +9^{2}[/tex]
[tex]c^{2} =144+81[/tex]
[tex]c^{2} =225[/tex]
[tex]c=\sqrt{225}[/tex]
[tex]c=15[/tex]
I hope this helps :)
Step-by-step explanation:
fig(1)
h=x
p=3
b=7
now,
h^2=p^2+b^2. (by Pythagoras theory)
or, x^2=3^2+7^2
or, x^2=9+49
or, x^2=58
or, x=√58
fig(2)
h=x
p=12
b=9
now,
h^2=p^2+b^2
or, x^2=12^2+9^2
or, x^2=144+81
or, x^2=225
or, x=15
While attempting to multiply the expression (3x + 7)" a student made mistakes. Explain and write the correct way.
Answer:
9x²+42x+49
Step-by-step explanation:
that is not the correct way to foil.
the correct way would be (3x+7)²= (3x+7)(3x+7)
simplifying that would give us 9x²+42x+49
his mistake was multiplying wrong because he did not foil
Need help quick it's urgent!
Please dont put any files or links. answer each equation please.
Answer:
23 thousandths. = 23 ÷ 10^3
9+4 × (6÷3) > (9+4×6) ÷ 3
5 tens + 2 hundredths. < 50.20
810.6 ÷ 10. = 8.106 × 10
Help me emergency please
I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.
do you happen to know if it's the radius it diameter?
Answer:
Step-by-step explanation:
radius=diameter/2
=11/2
=5.5 mm
circumference=2πr
=2*3.14*5.5
=34.54 mm
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.
Answer:
Wavelength = 16 m
Step-by-step explanation:
Given that,
In 6 seconds, a total of 3 waves crash into a cliff.
The distance between 2 adjacent wave crests on the water is 8 meters.
We need to find the wavelength of the wave.
We know that, the distance between two consecutive wave is called wavelength of a wave.
We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.
Hence, the wavelength is 8 m + 8 m = 16 m
Can someone please help me create an equation for this circle?
Answer:
[tex](x-1)^2 + (y-1)^2 = 10[/tex]
Step-by-step explanation:
From the graph ,
Centre of the circle is (1, 1)
To find radius we find a point through which the circle passes and find the distance between the Centre and the point.
Let that point be (4, 0)
[tex]radius = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} = \sqrt{(1-4)^2 + (1-0)^2} = \sqrt{10}[/tex]
Equation of the circle :
[tex](x - a)^2 + (y-b)^2 = r^2 \ , \ where \ (a,b)\ is\ the\ centre\ of\ the\ circle\ and\ r\ is\ the\ radius\\\\(x-1)^2 + (y-1)^2 = 10[/tex]
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
