Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
Parallel and perpendicular line what do the following two equations represent? y-3=2(x-3)
y+5=2(x+1)
A) The same line
B) Distinct parallel lines
C) Perpendicular lines
D) Intersecting, but not perpendicular lines
Answer:
A or D
Step-by-step explanation:
Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were extra generous, and she collected 115 pieces of candy. What was the percent of change in her candy haul?
Answer:
79.6875 % If you can round, please do.
Step-by-step explanation:
What is 900000+18765439??
Answer:
Step-by-step explanation:
900000
+18765439
=27765439
Answer is 27765439
I HAVE A COMMON ASSESSMENT HELP PLZ!
The graphs of linear functions f(x) and g(x) are shown on the graph. What transformation is happening to transform f(x) to g(x)?
A. Reflection
B. Vertical Shrink
C. Vertical Stretch
D. Vertical Shift
Answer:
A. Reflection
Step-by-Step Explanation:
you're reflecting the line across the x-axis, and that transforms f(x) into g(x).
A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.
Answer: 500
Step-by-step explanation:
The remainder of the question is:
How many units does the company need to sell to reach the target profit?
The required sales to break even will be calculated as:
= (Fixed cost + Required profit) / ( Price per unit - Variable cost)
= (120000 - 80000) / (100 - 20)
= 40000/80
= 500
The company needs to sell 500 units.
The price of a new car is $24,990. If the sales tax rate is 9%, then how much sales tax is being
charged?
Answer:
Sales tax = 2249.1
$ 2249.10
Step-by-step explanation:
What is the radius of a circle that has a circumference of 3.14 meters?
Answer:
r≈0.5m
Step-by-step explanation:
she was right
Answer:
r≈0.5m
Step-by-step explanation:
It will really help if you answer atleast 2 of them
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
: Frank bought 5 pounds of dog food for $8.75. At this
rate, how much would he pay for 8 pounds
Each pound is 1.75 so if you multiply that by 8 you get $14
Answer is $14
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Help me solve these please
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
calculeaza,grupand convenabil factori
8x7x0 3x7x2 5x8x2
7x4x2 5x10x5 4x9x2
2x9x5 10x9x9 2x3x7
Step-by-step explanation:
1. 0
2. 42
3. 80
4. 48
5. 250
6.64
7. 90
8. 180
9. 42
is that answer able?
Step-by-step explanation:
do you want the answer to those questions or is it just one question built in with those
WILL GIVE 100 POINTS
Isosceles trapezoids ABCD and WXYZ are similar to each other. Label the trapezoids with the given side measures AB=6, WX=12, and, ZW=9
Use similar figures and the given side lengths to complete the following prompts. Enter numerical answers only. If necessary, enter decimal numbers rounded to the nearest tenth of a number. Do not enter your answer as a fraction number.
1. DA=
2.CB=
3.XY
4.If YZ=8 then CD=
5. if the perimeter of the trapezoid ABCD =
6. the perimeter of trapezoid WXYZ =
Answer: Hello this is my first time answering!
DA= 4.5
CB=4.5
XY=9
If YZ=8 then CD=4
Perimeter of trapezoid ABCD=19
Perimeter of trapezoid WXYZ=38
Step-by-step explanation:
I am almost positive the scale is 0.5/1 this means that for DA it would be 4.5. Of course, if DA was 4.5 then so would CB. Everything is half of the second trapezoid.
Thanks!
Answer:
1. 4.5
2. 4.5
3. 9
4. 4
5. 19
6. 38
Step-by-step explanation:
Hope this helps!???
blueberries cost $4.00 per pound
how many pounds of blueberries can you buy for $1.00
Answer:
4
Step-by-step explanation:
4.00 divided by 1.00 = 4
Rewrite
as a unit rate.
Answer:
rewrite what as the unit rate?
Step-by-step explanation:
What is the question
Celeste is making fruit baskets for her service club to.
take to a local hospital. The directions say to fill the
boxes using 5 apples for every 6 oranges. Celeste is
filling her baskets with 2 apples for every 3 oranges.
Is Celeste using the correct ratio of apples to oranges?
Answer:
c
Step-by-step explanation:
Help out hereeeeeeeeeeee
Answer:
C.
Step-by-step explanation:
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
Look at the picture below
Need a step by step explanation please,very confused!
First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!
Answer:
this is it
Step-by-step explanation:
i hope it doesn't crop out and that it helps
could someone help me with slope cause I am struggling a little bit
Answer:
mmmmmmmmm sus
Step-by-step explanation:
If an oxygen atom gains 2 electrons what is it's overall charge?
(Remember: electrons have a negative charge)
Answer:
I think it would be -2 if it has a negative charge
Step-by-step explanation:
Need help If correct will give brainiest
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 22 years time I shall only be twice her age." How old are the uncle and the woman?
Answer:
her 22 him 66
22 years later her 44 and him88
Step-by-step explanation:
she hase to be 18 or older, but 22 works
so 22 x 3 = 66 he is 3 x older
him 66 +22=88 ,her 22+22= 44 x2 =88
what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
Answer:
The equation of the line that is perpendicular to y = 2x + 2 is
y = -1/2x
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is 2
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible number of sides b) what is the largest possible number of sides
Answer:
a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides
b) The largest possible number of sides of the polygon is a regular polygon with 9 sides
Step-by-step explanation:
a) The smallest exterior angle of the polygon = 40°
The largest exterior angle of the polygon = 80°
Therefore, we have the interior angles are;
The smallest interior angle of the polygon = 180° - 40° = 140°
The largest interior angle of the polygon = 180° - 80° = 100°
Therefore, we have
The interior angles of a regular polygon are given by the following formula;
[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
For an interior angle of 100°, we have;
[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
100/180 × n = n - 2
2 = n - 100/180 × n = 4/9·n
2 = 4/9·n
n = 18/4 = 4.5
Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides
b) For 140°, we have;
[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
140/180 × n = n - 2
2 = n - 140/180 × n = 2/9·n
2 = 2/9·n
n = 18/2 = 9
n = 9 sides
Therefore, the largest possible number of sides = 9 Sides.
what is 5,250 ÷ 6 = to? i have been having trouble
Answer:
875
Step-by-step explanation:
Answer:
Simply line it up and divide it.
Then you get the answer:
875
Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x
Answer:
I think the answer is D.
Step-by-step explanation:
thats what i think at least
Answer:
D. y = 3square root of x
Step-by-step explanation:
Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies
hence explain x²-8x+20 is always positive
Answer:
It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.
Step-by-step explanation:
The value of the quadratic expression (x - 4)² + 4 will be always positive.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic expression is given below.
⇒ x² - 8x + 20
Convert the expression into a vertex form, then we have
⇒ x² - 8x + 16 + 4
⇒ (x² - 2 · x · 4 + 4²) + 4
⇒ (x - 4)² + 4
Thus, the value of the expression (x - 4)² + 4 will be always positive.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
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