Answer:
If you mean 3^12 then the answer is 531,441
A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Answer:
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Step-by-step explanation:
From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:
[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height of the ball, measured in feet.
[tex]a[/tex] - Second order coefficient, measured in feet per square second.
[tex]b[/tex] - First order coefficient, measured in feet per second.
[tex]c[/tex] - Zero order coefficient, measured in feet.
From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:
[tex]A(t, h)= (0\,s,192\,ft)[/tex]
[tex]c = 192\,ft[/tex] (Eq. 2)
[tex]B(t,h) = (1\,s,240\,ft)[/tex]
[tex]a+b+c = 240\,ft[/tex] (Eq. 3)
[tex]C(t,h) =(6\,s,0\,ft)[/tex]
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)
By Algebraic methods, we get this unique solution:
[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)
A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?
Answer:
u = t/18 - 5
Step-by-step explanation:
45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games
plug in two:
90 + 18u = t
solve in terms of u:
18u = t - 90
u = t/18 - 5
can i get a thanks and brainliest please?
11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?
Answer:
155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9
=155/5*9
=31*9
=279
Find the value of x so that line m is parallel to line l.
Explanation:
The angles shown are same side interior angles.
For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.
28+(3x+14) = 180
28+3x+14 = 180
3x+42 = 180
3x = 180-42
3x = 138
x = 138/3
x = 46
Step-by-step explanation:
the angles are same side interior angles and because of that they are supplementary and add up to 180°
(3x + 14) + 28 = 180°
3x + 14 + 28 = 180
3x + 42=180
3x=180-42
3x= 138
divide by 3
x = 46
Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
-13 (q + 4) = 7 q + 16
Answer:
q=3.4
Step-by-step explanation:
-13q+-52=7q+16
-52=20q+16
-68=20q
-68/20 is -3.4
Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9
LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?
Answer:
[tex]LN = 55[/tex]
Step-by-step explanation:
Given
[tex]LN = 12w + 7[/tex]
[tex]LP = 15w - 5[/tex]
Required
Determine LN
Since LM is a bisector, then we have:
[tex]LP = LN[/tex] (See attachment for illustration)
[tex]15w - 5 = 12w + 7[/tex]
Collect Like Terms
[tex]15w - 12w = 5 +7[/tex]
[tex]3w = 12[/tex]
Solve for w
[tex]w = 12/3[/tex]
[tex]w = 4[/tex]
LN is calculated as thus:
[tex]LN = 12w + 7[/tex]
Substitute 4 for w
[tex]LN = 12 * 4 + 7[/tex]
[tex]LN = 48 + 7[/tex]
[tex]LN = 55[/tex]
Plsss helppppssssss me :< and explain thatttttt
Answer:
you need to take a better picture nobody can see that i not trying be be rude
Step-by-step explanation:
Answer:
upload clear picture, it is very easy
Step-by-step explanation:
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answer:
I would say your answer is (D
1/9 of 54 bottles of water = ? bottles
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
4c = d for c
Solve for indicated variable.
Answer:
c=1/4d
Step-by-step explanation:
Answer:
c = d/4
Step-by-step explanation:
solve this literal equation using inverse operations:
4c = d
/4 /4
c = d/4
What is the volume of the cylinder below
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The quotient of (x5 - 3x3 - 3x2 - 10x + 15) and a polynomial is (x2 - 5). What is the polynomial?
Answer:
x^3 + 2x - 3
Just divide x^5-3x^3-3x^2-10x+15 by the quotient and you get the polynomial searched.
Step-by-step explanation:
hope it helps , i am in 6th grade and i have got this answer from an elder student.
Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
c
Step-by-step explanation:
took the quiz!!
Match the equation on the left with its solution(s) on the right.
54/x = 9/7
What does X=
Answer:
the answer is 42.
Step-by-step explanation:
9 times 6 is 54.
7 times 6 is 42.
Answer:
It'd be 486/7 or 69 and 3/7
Step-by-step explanation:
Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay
Answer:
A and B
Step-by-step explanation:
3x+3(x+y)
3x+3x+3y
6x+3y
B
3(x+x+y)
3x+3x+3y
6x+3y
The value of x must be greater than
O 0
O 1
O 3
O 7
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
b) Simplify 2-(3-a) = -4
Answer:
-1+a
Step-by-step explanation:
2-(3-a) = (2-3-(-a)) = -1+a
Answer:
a=-3
Step-by-step explanation:
First off subtract 2 from both sides:
-(3-a)=-6
Then distribute the negative:
-3+a=-6
Finally add 3 to both sides:
a=-3
tadah!!
Hope that helps.
m= -(4+ m) + 2
m=
what’s m?
Answer:
m = -1
Step-by-step explanation:
m= -(4+ m) + 2
Distribute
m = -4-m+2
m = -2-m
Add m to each side
m+m = -2-m+m
2m = -2
2m/2 = -2/2
m = -1
Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}
Answer:
{(-4,-3), (0, -3,) (1, -3), and (4,-3)}
Step-by-step explanation:
There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.
Answer:
The second one.
Step-by-step explanation:
A function can have two of the same inputs, but not two of the same outputs.
In the first one, the output 2 is found more than once.
In the third one, the output -3, is also found more than once.
The second one has completely unique numbers for both the input and output.
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
I need some help with geometry!
Answer:
vertical
Step-by-step explanation:
PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?
Answer:
$38.47
Step-by-step explanation:
i did the math on it
17. A team won 16 and lost 4 of its.games. What percent of all of its games did
the team win?
(a) 40%
(b) 80%
(c) 75%
(d) 40%
(e) none of these
Please show the work
Answer: 80%
Step-by-step explanation
4 out of 20 equals 20%
16 out of 20 equals 80%