Answer:If you use quadratic formula the answer is (rounded) 2.88s
Step-by-step explanation:
Answer:
2.882491 seconds
Step-by-step explanation:
H=156-8t-16t²
-16t²-8t+156=0
16t²+8t-156=0
4t²+2t-39=0
t=2.882491 seconds ................
Which is the equation of a line that is perpendicular to the line
y
=
−
5
x
+
11
?
Answer:
y=1/5x
Step-by-step explanation:
hopefully that helped
I GIVE BRAINLIEST!!
Please explain you work!!!
Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)
Answer:
The equation of the line is y = 3x - 11.
Step-by-step explanation:
We are given the equation of a line:
[tex]\bullet \ \ \ y = 3x -2[/tex]
We are also given a point at which the line passes through.
[tex]\bullet \ \ \ (4, 1)[/tex]
With parallel lines, it is important to note:
Parallel lines have the same slope.Parallel lines must have a different y-intercept.We can use the point-slope equation to find the equation of the line:
[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]
Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.
There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of blue marbles to red marble 0 (b) What is the ratio of all marbles in the bag to blue marbles?
Answer:
a. 3/8
b. 11/3
Step-by-step explanation:
a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8
b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3
a) The ratio of blue marbles to red marbles: 3/8.
b) The ratio of all marbles to blue marbles: 11/3.
(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.
Blue marbles: 3
Red marbles: 8
So, the ratio is 3/8
(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.
Total marbles = 8 + 3
= 11
So, the ratio is 11/3.
Learn more about Ratio here:
https://brainly.com/question/32531170
#SPJ4
Solve the system of equations by substitution.
x+y=32
y=7x
Answer:
x=4
Step-by-step explanation:
since y=7x
x+7x=32
8x=32
x=4
Answer:
x=4
Step-by-step explanation:
x+y=32
y=7x
Since Y can be replaced by 7x, substitute into eq1.
x+y( notice y can be replaced by 7x) =32
x+7x=32 ( Y got replaced
8x=32
Divide 8 on both sides.
x=4
Hope this helps plz hit the crown :D
Explain how you found your answer
Answer:
let the total cost of a rug be x
then
30% of x =75
30/100*x =75
3x=750
x=750/3 = 250
Marc owe = 250-75 =175
Step-by-step explanation:
What’s the missing length????? Please
Answer:
The missing length is 11
Step-by-step explanation:
The Cyclops and Dragon both have a lot of friends that are serving as bridesmaids and groomsmen. Also, the King is acting as the officiant of the ceremony. Poly determines that the best way to organize everyone is for the officiant to stand at a vertex at the front, and to have the bride and groom stand across from each other. The bridesmaids and groomsmen will then line up so that the entire group forms a "U" shape that is symmetric about a line that passes through the point where the officiant stands.
What type of function most accurately models this structure?
quadratic
radical
linear
rational
Answer:
quadratic
Step-by-step explanation:
plz answer this within 2 mins and receive brainiest......
Answer:
Brand B is cheaper by 0.17 per pound.
Step-by-step explanation:
Brand A = 47.7/45 = 1.06
Brand B = 48.95/55 = 0.89
if k = am+3mx what is the value of m in terms of
x
Please help
Answer:
k = am + 3mx
Group by taking common factor m
k = m(a + 3x)
Divide both sides by (a +3x)
k / (a+3x) = m
Then, m = k / (a+3x). This is the answer
Step-by-step explanation:
What is x if
f(x) = -2?
Answer:
Fx = -2 because if we multiply with the f and the x we will get Fx = - 2
What is the elevation of the deck where Winston ate dinner?
plz helppp
Question:
What is the elevation of the deck where Winston ate dinner?
Answer:
The surf shop was higher and the distance would be 12.8 feet above the oceans surface.
12.8
Step-by-step explanation:
Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.
Answer:
The three consecutive POSITIVE ODD integers are: 3, 5 and 7
Step-by-step explanation:
If x is an integer, then there consecutive positive odd integers are:
x , x + 2, x + 4 are three consecutive integers.
Where
First integer, a = x
Second integer, b = x + 2
Third integer, c = x + 4
We are told to:
Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.
Hence, this is represented as:
a × c = 6(b) - 9
Where
a = x
b = x + 2
c = x + 4
x (x + 4 ) = 6(x + 2) - 9
x ² + 4x = 6x + 12 - 9
x² +4x - 6x - 12 + 9= 0
x² - 2x - 3 = 0
Factorising
x² +x - 3x - 3 = 0
x (x + 1) -3(x + 1) = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Since, x cannot be negative for this question, x = 3
First integer, a = x = 3
Solving for:
Second integer, b = x + 2
b = 3 + 2 = 5
Solving for :
Third integer, c = x + 4
c = 3 + 4 = 7
Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7
You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?
Answer:
2 m/s
Step-by-step explanation:
Answer:
2m/s²
Step-by-step explanation:
acceleration= v-u/t
=3-1/1
=2m/s²
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width of the bed the area of the concrete pad must be 80 ft.² write the quadratic equation that will be used to find the dimensions of the pad
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
What is the value
-3/2(24 - 5 1/3 )
A. -44
B. 32 1/6
C. -41 1/3
D. -28
Am I correct? I would like to know, thanks!
Answer:
a) <CA
b) im not sure about this one
Step-by-step explanation:
A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,000.
a. Construct a 95% confidence interval for the mean starting salary of college graduates.
a. 50188 to 57812$
b. 45,0000 to 50,000$
c. 48,000 to 60,000$
d. 50,000 to 54000$
b. The National Association of Colleges and Employers reports that the mean starting salary for 2017 college graduates is $50,516. Does your confidence interval (part a) indicate that starting salaries have significantly changed since 2017? Why or why not?
Answer: a.) $50188 to $57812
Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ± [tex]z\frac{s}{\sqrt{n} }[/tex]
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]
54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.
b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.
Marta's pet snake is 10 inches shorter than three times the length of Dilbert's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Marta's snake? Which equation would NOT solve this problem?
x + 3x - 10 = 110
3x - 10 = 110
4x - 10 = 110
x + 3x = 120
Expand(2x-1)(x+5) please answer this ASAP thank you.
Answer:
2x² + 9x - 5
Step-by-step explanation:
Given
(2x - 1)(x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(x + 5) - 1(x + 5) ← distribute both parenthesis
= 2x² + 10x - x - 5 ← collect like terms
= 2x² + 9x - 5
Help please tell me
Answer:
x and y are not in a proportional relationship
Step-by-step explanation:
x and y can be said to be in a proportional relationship, if the ratio of each given pair of values (y/x) on the table are equal. The ratio would represent the constant of proportionality.
Let's find out:
(3, 7) = y/x = 7/3 = 2.33
(6, 13) = y/x = 13/6 = 2.17
(9, 19) = y/x = 19/9 = 2.11
(12, 25) = y/x = 25/12 = 2.08
The ratio of each given pair of values are not the same. Therefore, x and y are not in a proportional relationship.
if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.
Answer:
n = 13
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)
[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
n = 13
Answer:
n = 13
Step-by-step explanation:
AP = 2, 10, 17 ...
AP1 = 63,65, 67
Find the general term of AP
L = a + (n - 1)*d
a = 2
d = 7
Find the general term of AP1
L = 63 + (n - 1)*d
a = 63
d = 2
Equation to equate both of them
L = 3 + (n-1)7
L1 = 63 + (n - 1)*2
Equate L and L1
2 + (n - 1)*7= 63 + (n-1)*2 Subtract 3 from both sides
(n - 1)*7 = 63 - 3 + (n - 1)*2 Remove the brackets
7n - 7 = 60 + 2n - 2 Combine the like terms on the right
7n - 7 = 58 + 2n Subtract 2n from both sides
7n - 2n -7 = 58 Add 7 to both sides
5n = 58 +7 Divide by 5
n = 65/5
n = 13
So the 13th term on each series is equal.
L_13 = 3 + (13 - 1)*7
L_13 = 3 + (12)*7
L_13 = 87
=====================
L'_13 = 63 + (13 -1 ) * 2
L'_13 = 63 + 12*2
L'_13 = 87
Helppppppppppp plzzz
Answer:
4
Step-by-step explanation:
hope this helps......
6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.
V=\pi r^2lV=πr
2
l
Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.
Answer:
8.2 inStep-by-step explanation:
Volume formula:
V = πr²lSolving for l:
l = V/(πr²)Length of the given cylinder:
l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded8.2 in is the correct answer to the question
6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.
V=\pi r^2lV=πr
2
What is the value of y in the solution to this system of equations?
4x - 2y = 14
3x + y = 3
Ay = 3
By=-2
C y = 2
Dy=-3
Answer:not clear
Step-by-step explanation:
A number minus 14 is more than 35
Answer:
False, -14 is less that 35
Step-by-step explanation:
Answer:
x-14>35
Step-by-step explanation:
x-14>35
1. Replace "A number " with x
x minus 14 is more than 35
Minus = subtraction
x-14 is more than 35
Is more than translates to the inequality >
x-14>35
Hope this helps plz hit the crown :D
The cost of admission to the zoo is $10 for adults and $5 for children. How much will it cost for 7 adults and 12 children to go to the zoo
Answer:
it will cost 130
Step-by-step explanation:
10x7=70 12x5=60 60+70=130
find the unit rate round to the nearest hundredth calculator $170 for 14ft2
Answer:
don't expect people to help when you comment bs under their questions for points, mad weird
A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (n= 1).
Answer:
16875.98
Step-by-step explanation:
6000(1+(0.09/1)^1*12 = 16875.98
Answer:
1648
Step-by-step explanation:
A=p(1+rt)
=6000$(1+(9/100)×12))
=1648.56
Please help me slove this problem
3x - 3 = 12
Answer:
x=5
Step-by-step explanation:
We kind of have to work backward.
First, we take 12+3 because when we move it over the equal sign, we make it the opposite.
12+3=15
Our new equation is now, 3x=15
We now take:
3x__=15
The blank represents x, which is 5.
Hope this helps!
-AxekickNebulite
