The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.
After how many seconds does the object reach its maximum height?
2 seconds
3 seconds
6 seconds
9 seconds
Answer:
Step-by-step explanation:
This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!
The formula to find h is
[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:
[tex]h=\frac{-96}{2(-16)}[/tex] so
h = 3
At 3 seconds the max height of 150 feet is reached.
The sum of a number and 3:
Answer:
x+3?
Step-by-step explanation:
honestly, there is not alot of information present here. so when a hear "a number" i think variable.... which would be set up as x+3
What is the direct variation between x and y when x=7 and y=3 1/2?
Answer:
[tex]{ \tt{y \: \alpha \: x }} \\ { \tt{y = kx}} \\ \\ { \bf{3 \frac{1}{2} = k \times 7 }} \\ { \bf{k = \frac{1}{2} }} \\ \\ { \tt{y = \frac{1}{2}x }} \\ \\ { \tt{y = 0.5x}}[/tex]
A car was traveling at a rate of x miles per
hour for 3 hours. How far did the car travel?
Choose the correct simplification of the expression (x?y)?
Ох^4у^3
Ox^6y^6
Ох^4у^2
Oxy^4
Edgar has a business painting Lines on the Highway. His workers can pay online 1/6 of my along every 10 minutes. At the end of an eight-hour workday, how many miles of wine will his workers have painted.
Answer:
8 miles
Step-by-step explanation:
In every 10 minutes, the workers paint 1/6 miles
Total number of minutes in 8 hours = 8 *60 = 480
Number of ten minutes in 480 minutes = 48
total miles of wine painted = 1/6 * 48 = 8 miles
Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).
АВС
DEF
KLM
GHJ
Answer:
Triangle KLM
Step-by-step explanation:
Firstly, we need to write the coordinates of triangle NPQ
We have this as;
(-7,-6) for N
(-4,-3) for P
(-4,-6) for Q
Now, we are going to use the given translation formula;
(x + 8, y + 1)
N’ will be (-7+ 8, -6 + 1) = (1,-5)
P’ will be (-4+ 8, -3+1) = (4,-2)
Q’ will be (-4+ 8, -6+1) = (4,-5)
Now, we need to find the triangle with the exact given transformation coordinates calculated above;
We have the triangle as;
KLM
With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)
Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.
6 x = negative 2 x minus 4.5
What errors did Emma make? Select two options.
She should have used division to represent the quotient of six and x.
She should not have included an equal sign.
She should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5).
She should have subtracted the difference (x minus 4.5) from Negative 2.
She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).
The errors Emma made from her translation are;
She should have used division to represent the quotient of six and x.She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).The correct answer choice is option A and E
What errors did Emma make?quotient of six and a number, x, is the same as negative two times the difference of x and 4.5
6/x = -2 × (4.5 - x)
6/x = -2(4.5 - x)
Ultimately, Emma should have translated the statement in the form 6/x = -2(4.5 - x).
Read more on algebra:
https://brainly.com/question/4344214
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Answer: A and C
Step-by-step explanation:
What’s the answer to this ?
Answer:
a
Step-by-step explanation:
Answer:
I am pretty sure its B
Step-by-step explanation: not sure though
Can someone help me understand this? Given that triangle ABC =~ triangle DEF, which of the following must be true?
Answer:
since these triangles are the same these angle must be the same
A=D
B=E
C=F
so the answer is C
Hope This Helps!!!
Please help me I really need help
Answer:
-2 + 6i
Parallelogram
Step-by-step explanation:
( 5 - 2i ) + ( - 7 + 8i )
remove parenthesis
5 - 2i + ( -7 ) + 8i
combine like terms
5 + (-7) = -2
-2i + 8i = 6i
-2 + 6i
The arrows on the opposite sides indicate that the sides are parallel
A shape with two sets of parallel sides is known as a parallelogram
in one day a store sells 254 gallons of milk for a profit of -$0.17 each they also sell 51 half gallons of orange juice for a profit of 0.34 each what was the store's net profit for the day for these two items total
Answer:
-$25.84
Step-by-step explanation:
254* -0.17 = -$43.18 profit from milk
51 * .34 = $17.34 profit from OJ
-43.18 + 17.34 = -$25.84 profit total
I need help please!!!
Answer:
answer is line m........
Which ordered pair is a solution to the following linear system?
y= x + 1
y = -2x + 1
A) (-1,-2)
B) (2,1)
C) (0,1)
D) (0,0)
Answer:
C. (0,1)
Step-by-step explanation:
x + 1 = -2x + 1
3x = 0
x = 0
y = (0) + 1
y = 1
20% of a number is 30. What is 60% of the number?
Answer:
90
Step-by-step explanation:
30 / 0.2 = 150
150 x 0.60 = 90
Step-by-step explanation:
Well, if 20% = 30, then 40% = 60, and 60% = 90
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 2 1 start fraction, 1, divided by, 2, end fraction of a kilogram.How much heavier is the heaviest basket than the second heaviest basket?
Answer:
[tex]1\frac{1}{2}kg[/tex]
Step-by-step explanation:
Given
[tex]a = 6\frac{1}{2}[/tex] --- heaviest
[tex]b = 5[/tex] --- second heaviest
Required
The difference (d)
This is calculated as:
[tex]d = 6\frac{1}{2} - 5[/tex]
[tex]d = 1\frac{1}{2}[/tex]
¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?
Seleccione una:
a. (a + b) (a - b)
b. (a - b) (a - b)
c. (a + b) (a + b)
d. (a + b) (c + d)
convert 25meter square into centimeter square
Answer:
250,000 cm squared
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
B
Step-by-step explanation: 6 21 9 45
49 × 17 + 49 × 3
49 × (17 + 3)
49 × 20
Draw the graph of y = 3x – 2 for –3 ≤ x ≤ 3
Answer:
In this case, we have a linear equation:
y = 3*x - 2
And we want to graph this in the interval –3 ≤ x ≤ 3
Because this is a linear equation, to graph it we can just evaluate the equation in both extremes of the interval to find the two extremes of the graph.
Then we just need to connect these points with a segment, and that will be the graph of our equation.
Because the symbols used are: ≤
We need to graph the extremes with a black dot, which means that the point is included in the graph (would be different if we had -3 < x < 3)
The first extreme is when we have x = -3
y = 3*(-3) - 2 = -9 - 2 = -11
Then we have one extreme at (-3, -11)
The other is when x = 3
y = 3*3 - 2 = 9 - 2 = 7
Then the other extreme is at (3, 7)
Now we just need to draw these two points and connect them, an example of this can be seen in the image below:
y=−x+4
y=x−2
What is the solution for the system of equations?
Step-by-step explanation:
y=-x+4
y=x-2
adding both the equations we get
2y=2
:. y=1
and putting the value of y in equation first we get
x=3
CAN SOMEONE PLEASE HELP?!
Answer:
70in.
Step-by-step explanation:
Since the given formula for perimeter is [tex]2l + 2w[/tex], all that's needed is to fill in the blanks with the numbers they give us.
[tex]2l + 2w[/tex] (Fill in for given length and width)
[tex]2(20)+2(15)[/tex] (Multiply)
[tex]40 + 30[/tex] (Add)
[tex]70[/tex]
It tells us that length ([tex]l[/tex]) is 20 and that width ([tex]w[/tex]) is 15. So all that we have to do is use the equation it gave us to solve the equation.
I hope this helped :)
Step-by-step explanation:
Hey there!
Here;
Length (l) = 20 in
Width (w) = 15 in
Perimeter(p) = ?
We have;
Perimeter of rectangle (p) = 2l + 2w
= 2(l+w)
= 2(20+15)
= 2*35
= 70 inches
Therefore, perimeter of rectangular picture is 70 inches.
Hope it helps!
Which of the following is the correct definition of payment shock??
Answer:
payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income
Answer: The new payment after the initial fixed-rate period is much higher
than the homeowner expected.
Step-by-step explanation: took the quiz.
What is the reflection image of P(0, 0) after two reflections, first across x = −3 and then across y = 4?
Answer:
(-6, 8)
Draw the point, draw the lines of reflection, reflect, find coordinates.
Solve the following:
4x-3=2x+7
Thanks :)
Answer:
6x+10 i think is right(sorry if its not)
Answer:
5
Step-by-step explanation:
4x-3=2x+7
-2x -2x
2x-3=7
+3 +3
2x=10
2x/2x = x
10/2=5
x=5
2+4 = 8 and ½ + ½ = 1 is an example of which type of statement?
Answer:
it is an example of conditional statement.
hope it helps
help please, try to explain it in steps for me if u can't that's fine, ty!
Answer:
B
Step-by-step explanation:
We are given that Expression One is:
[tex]2\cdot 10^x[/tex]
And Expression Two is:
[tex]4\cdot 10^{x+y}[/tex]
We are given that the value of Expression Two is 20,000 times greater than the value of Expression One. And we want to find the value of y. In other words:
[tex]4\cdot 10^{x+y}=20000(2\cdot 10^x)[/tex]
We can divide both sides by four:
[tex]10^{x+y}=10000\cdot 10^x[/tex]
Recall that:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
Therefore:
[tex]10^x\cdot 10^y=10000\cdot 10^x[/tex]
Divide both sides by 10ˣ:
[tex]10^y=10000[/tex]
Solve for y:
[tex]\displaystyle y = \log_{10}10000 = 4[/tex]
Our answer is B.
Help please thanks! :)
Answer:
Option A = 1/15 cubic meters
Step-by-step explanation:
Formule to find volume of rectangular prism:
Volume = width × height × length
V = w×h×l
V = 1/3 × 1/4 × 4/5
V = 1/15 cubic meters
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4 ⋅ 2 + y
4(2 + y)
2 + 4 ⋅ y
2(4 + y)
Answer:
[tex]4(2 + y)[/tex]
Step-by-step explanation:
"4 times the sum of 2 and y".
Hope it is helpful...Answer:
The answer is 4(2+y)
Explanation: No 1 is 4 times two and add 1
No 3 is 2 plus 4 and multiply y
No 4 is 2 times 4 and adds 2 y
Line A (y=4x+2) is transformed into Line B (y=x+5). Which best describes the new slope and y-intercept?
Answer:
The new slope is 1 and the line is shifted flatter.
Step-by-step explanation:
Line A slope is 4.
Line B slope is 1.
The y-intercept rose up 3
As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.