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
You have piano lessons every fourth day and guitar lessons
every sixth day. Today you have both lessons. In how many days will
you have both lessons on the same day again? Show your work.
Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right
Answer:
no
Step-by-step explanation:
the graph should be facing up.
Tyler gathered data from 12 recent basketball games about the number of points he scored, the number of points his teammate Nolan scored, and the total number of points his team scored. He displayed the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
Answer:
Only plot B
Step-by-step explanation:
Answer:
Only Plot B
Step-by-step explanation:
The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.
In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.
So, only plot B indicates a positive correlation.
the function 56-4y=-5x can be used to determine the total amount of money in a coin jar,y,after money is added for x days. what is the rate of change in dollars with respect to the number of days?
Answer:
23
Step-by-step explanation:
The charity gala costs a flat fee of $394, plus an additional $6 per attendee. How many attendees can there be, at most, if the budget for the charity gala is $508?
Answer:
There can be 19 attendees at most, if the budget for the charity gala is $508.
Step-by-step explanation:
From the information given, the cost of the charity gala is equal to the flat fee plus the additional cost per attendee for the number of attendees, which can be expressed as:
C=394+6a, where c is the cost of the charity gala and a is the number of attendees.
Now, you need to replace C with 508 and solve for a that is the number of attendees:
C=394+6a
508=394+6a
508-394=6a
6a=114
a=114/6
a=19
According to this, the answer is that there can be 19 attendees at most, if the budget for the charity gala is $508.
Three friends are starting a new exercise equipment franchise. Their investments are in the ratio of 5:7:11. The smallest investor is contributing $75,000. What is the largest investor contributing?
Given:
Ratio of investments are 5:7:11.
Contribution of smallest investor = $75,000
To find:
The contribution of largest investor.
Solution:
Let the contribution of three friends be 5x, 7x and 11x respectively.
Here, 5x is smallest and 11 is largest.
The smallest investor is contributing $75,000.
[tex]5x=75000[/tex]
Divide both sides by 5.
[tex]x=15000[/tex]
Now,
[tex]\text{Contribution of largest investor}=11x[/tex]
[tex]\text{Contribution of largest investor}=11(15000)[/tex]
[tex]\text{Contribution of largest investor}=165000[/tex]
Therefore, the contribution of largest investor is $165,000.
Simple Inequalities:
2 <6
29
Which compound inequality and graph match the given simple inequalities?
I think it is the first option. hope this helps :)
Anyone? Would appreciate it.
Answer:
correct
Step-by-step explanation:
Two functions are given.
f(x)=-x^2+3x-2
g(x)=-x+1
What is one value for x such that f(x)=g(x)?
Hi
f(x) = g(x) if -x²+3x-2 - ( -x+1) = 0
-x² +3x-2 +x-1 = 0
-x² +4x -3 = 0
To solve, tou have to use the general method of resolution of a quadratic fonction.
To determine if it's has a solution in R, let's calculate Δ
Δ = (4)² - 4 * (1) *(-3)
Δ = 16 +12
Δ= 28
as Δ≥ 0 so the function allow two solution within R
so S 1 = ( -4 +√28) / 2 S 2 = (-4 -√28 ) /2
S1 = ( -4 + 2√7) /2 S2 = (-4 - 2√7) /2
S1 = (2 (-2 +√7) /2 S2 2 (-2 -√7) /2
S1 = -2 +√7 S2 = -2 -√7
So the two function are equal twice. one for x = -2 +√7 and second x = -2-√7
Question 7 options:
y = -15
y = 15
y = 8
y = 2
Answer:
where is the question .pls send the question
Answer:
Insufficient evidence to give an answer. What is the question?
The reflection of point S across the y-axis is point
. The reflection of point Q across the x-axis and the y-axis is point
, whose coordinates are (
,
).
Which of the following statements would not translate to the equation 8 ÷ x = -4?
A. Eight divided by a number is equal to negative four.
B. The solution of a number divided by eight is negative four.
C. The quotient of eight and a number equals negative four.
D. If eight is divided by a number, the result is negative four.
Answer:
B
Step-by-step explanation:
B it's wrong because 8 is divided by a number not a number by 8
Let f(x) = 6x - 5 and g(x) = 8x, for x E R.
Write down g(2).
Find (fog)(x)
Answer:
48x -5
Step-by-step explanation:
(fog)(x) = f(g(x)) = 6(8x)-5 =48-5
2/3 / (-9/4)
2/3 divided by (-9/4)
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[tex] \frac{2}{3} \div ( - \frac{9}{4} ) = \\ [/tex]
[tex] \frac{2}{3} \times( - \frac{4}{9}) = \\ [/tex]
[tex] - \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent
Answer:
Since she sold $16,000, she earned commission on $13,000 of it.
So she earned $420 from $13,000
420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
10
Step-by-step explanation:
Answer:
3.23% or 3.2% to the nearest tenth %
Step-by-step explanation:
Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
Karla needs 3.7 pounds of chicken. If each pound of chicken costs $4.50, how much will she need to spend altogether?
Answer: $16.65
Step-by-step explanation:3.7*$4.50=$16.65
Please finish 13,14,15 please I will give 10 points and brainliest
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle. C 6a - 8 4a-2 MathBits.com A B Side BC = Side AC = Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as Triangle ABC:
Answer: a = 2; AC = BC = 10
Step-by-step explanation:
AC = BC => 6a - 8 = 4a - 2
<=> 2a = 6
<=> a = 3
=> AC = 6.3 - 8 = 10
AC = BC => BC = 10
5200 at 4% for 3 years ??
FREE BRAINLIEST!!!!!!!!!!!!!!!!!!
Given
f
(
x
)
=
2
3
x
−
1
, complete Parts A and B.
Part A: Using the table provided, create five points to demonstrate that for the function
f
(
x
)
=
2
3
x
−
1
, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table.
x
y
Part B: On a separate sheet of paper, use the points created in Part A to graph the function
f
(
x
)
=
2
3
x
−
1
. Label the values on the
x
- and
y
-axes, and all points on the graph.
Answer:
Hi So the anser is 5
Step-by-step explanation:
Hey friends! If u guys wanna help I’d really appreciate it! I’m in need of some help rn lol I’ll give u all my points!!!!!
Answer: it’s C
Step-by-step explanation:
Pls help! What is mSN ?
Answer:
ur ugly face
Step-by-step explanation:
ooooooooooooooooooooooooooooooo
Find the missing term ___,48,12,3
Answer:
192
Step-by-step explanation:
It’s the answer
what is positive 1 plus negative 6
Answer:
-5
Step-by-step explanation:
When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)
Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack. Because the stack will be 5 feet into the ground now, the answer is -5.
Use substitution to solve the following system of equations. What is the value of y?
6x + 2y = 4
3x - 5y = 44
A. y = 7
B. y = -7
C. y = -4.5
D. y = 4.5
Answer:
B
Step-by-step explanation:
please help me there are more questions after this.
Two shapes with equal perimeter are pictured below.
What is the measure, in units, of CD¯¯¯¯¯¯¯¯?
Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
How much larger is 10 7 than 10 3 What operation can we use?
Answer:
9,999,000
subtraction
Step-by-step explanation:
We can compare numbers using subtraction or division.
A question like "how much larger" usually means a comparison by subtraction. For example, how much larger is 10 than 8. Use subtraction: 10 - 8 = 2. Answer: 2.
A question like "how many times larger" usually means a comparison by division. For example, how many times larger is 30 than 5? Use division: 30/5 = 6. Answer: 6.
Here, the question is "how much larger" not "how many times larger," so we will compare with subtraction.
10^7 - 10^3 = 10,000,000 - 1,000 = 9,999,000
An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter(L) of ice cream How much total ice cream is in the cartons?
Answer:
960 cartons
Step-by-step explanation:
Ice cream shop invented 25 new flavors of the ice cream out of which 13 flavors were discarded by the ice cream shop as they were least popular.
So flavors left = 25 - 13 = 12
The shop made 80 cartons each of 12 flavors so total number of cartons = 12×80 = 960 cartons
Therefore answer will be 960 cartons of remaining flavors
plz mark brainly
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply. PLEASE HELP!!
A. 18
B. 16
C. 14
D. 12
E. 10
Answer:
losien yo hablo español espero que alguien mas te ayude
Answer:
Your answer would be C , D, E
Step-by-step explanation
Have a Great day!