Answer:
f(x) represents the vertical height of the cannon
Step-by-step explanation:
The given function is presented as follows;
f(x) = -0.05·(x² - 26·x - 120)
Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)
Therefore, we have;
f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6
f(0) = 6
The starting height of the cannon = 6
The maximum height reached by the cannon is given as follows;
f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)
f'(x) = -0.05×(2·x - 26)
f'(x) = 0 At maximum height, therefore, we have;
-0.05×(2·x - 26) = 0
(2·x - 26) = 0
2·x = 26
x = 26/2 = 13
x = 13
f(13) = -0.05·(13² - 26×13 - 120) = 14.45
The maximum height = 14.45
Therefore;
f(x) = The vertical height of the cannon
Suppose that appoximately 261,000,000 people live in the united states. Of these people 37,600,000 speak a language other than english at home who speak another lanague at home over 45 percent speak spanish
Answer:
16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.
Step-by-step explanation:
Given that approximately 261,000,000 people live in the United States, and of these people 37,600,000 speak a language other than English at home, of which over 45 percent speak Spanish, to determine the number of people who speak Spanish in the United States, the following calculation has to be done:
37,600,000 x 0.45 = X
16,920,000 = X
261,000,000 = 100
16,920,000 = X
16,920,000 x 100 / 261,000,000 = X
6.48 = X
Thus, some 16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.
select all of the trips that would take 2 hours
Answer:
a field trip
a road trip
a trip to a far antique museum
Uhm I would also appreciate if i had options.
Identify the following for the following graph:
X-Intercept(s):
2. Y-Intercept:
3. Vertex:
4. Maximum or Minimum
5. Axis of Symmetry
6. Roots/Solutions/Zeros:
7. Domain:
8. Range:
Answer:
X- Intercepts: (-1,0) and (-3,0)
Y- Intercepts: (0,-6)
Vertex: (-2,2)
Maximum
Axis of Symmetry x=-2
I don't know what the roots/solutions/zeroes are
7. Domain: All real #
8. Range: y is less than or equal to 2
Step-by-step explanation:
Tell me if you need explanation
Please Answer ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
3/2 because you divide both by 2
Step-by-step explanation:
hope this helps. :)
On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?
Answer:
Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.
Step-by-step explanation:
Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:
(9,900 / 4.5) - (9,900 / 6.5) = X
2,200 - 1,523.07 = X
676.92 = X
So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.
Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?
Answer:
241 t-shirt and 49 short
Step-by-step explanation:
lets call shorts x and tshirts y
x+y=290 (first equation)
4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)
x=290-y
and substitute it with x in the second equation
4(290-y)+2y=678 then till u get to y=241 (the pieces sold)
290-241=49 (pieces sold)
so as proof 49+241=290 pieces sold
as proof also 4*49=196 price of all shorts sold
2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] - (x - 1) {}^{2} + 5[/tex]
Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is
[tex] - (x - 1) {}^{2} - 1[/tex]
F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.
[tex] - (x - 1) {}^{2} + 5[/tex]
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What equation represents "there are 3 more girls than boys?"
A. G = B + 3
B. B = G + 3
C. 6B = 5G
D. 6G = 5B
Answer:
the answer is d
Step-by-step explanation:
I came to this answer with simple deduction and process of elimination.
decrease
133 in the ratio 7:2
Answer:
38
Step-by-step explanation
2/7× 133=38
3 times the difference of a number and 4 equals 12. Find the number.
Answer:
Step-by-step explanation:
9
a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?
Answer:
50% for the coin and 1/6 chance for the dice
Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years
Answer:
2954.91088758
Step-by-step explanation:
exact answer
Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)
Answer:
9.52
Step-by-step explanation:
Please Show your work.
Answer:
Equation: y = 2.5x
Answer: 43.75 drawers
Step-by-step explanation:
Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x
Answer: Substitute 17.5 into x.
y = 2.5(17.5)
y = 43.75 drawers
1000000000+10000-222
Answer:
1000009778
Step-by-step explanation:
1000009778
Step-by-step explanation:Have a good one!
(ㆆ_ㆆ)Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?
I will report you for any not serious answers, and the points will be taken away from you.
I have the answer of 8 for x, but does 3 WORK for x?
Because my answer choices consists of 24, but not 8.
My big question is "is 3 a valid solution"
Answer:
i don't think 3 works for x because the only solution for x was 8
Step-by-step explanation:
Need help with this!
Answer:
1 = b
2 = a
Step-by-step explanation:
hope that helped
If A D and C F, which additional statement does NOT allow you to conclude that AABC = ADEF?
Answer:
B
Step-by-step explanation:
i think its b because all the other answers are talking about the sides but b is talking about the angles which in the question it states angles (A,D,C, and F) so going off an educated guess i would say the answer is b i dont know if its correct or not though.
A shape is made of 9 right triangles of equal size and three identical rectangles.
Each rectangle measures 7 mm wide by 3 mm high. The rectangles are each
7 mm wide by 3 mm high. What is the total area, in square millimeters,
of the shape?
Answer:
The area of the figure is 157.5 square millimeters.
Step-by-step explanation:
Since a shape is made of 9 right triangles of equal size and three identical rectangles, and each rectangle measures 7 mm wide by 3 mm high, while the rectangles are each 7 mm wide by 3 mm high, to determine what is the total area, in square millimeters, of the shape, the following calculations must be performed:
Area of a rectangle: base x height
Area of a triangle: (base x height) / 2
7x3 = 21 = Rectangle area
7x3 / 2 = 10.5 = Triangle area
21 x 3 + 10.5 x 9 = 157.5
Thus, the area of the figure is 157.5 square millimeters.
|(x-19)+11| considr all posibilyties
ill give you brainlyest
Answer: Here Is the answer
Step-by-step explanation: hoep this helps :)
soylindo del 1 al 10
Answer:
6.5
Step-by-step explanation:
find the missing value and please show how
Answer:
Step-by-step explanation:
∠YUV = 29 + 62 {Exterior angle property}
= 91
Exterior angle property : Exterior angle equal the sum of opposite interior angles.
What is the value of the expression?
Answer:
6s2
= 6(2)2
= 12 × 12
= 144
: The value of the expression is equal to 144
1+1
Please help this is worth 80% of my grade
Answer:
2
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
So you take your numbers, 1 and 1.
You add them together 1+1.
You have your answer, 2.
PLZZZ HELP. Celeste makes 6% Commission on her sales, if her sales for a week total %4580 what is her commission
1. $274
2. $274.50
3. $275.80
4. $272.00
Answer: 3
Step-by-step explanation:
write in its simplest form : 30 : 1 ¼ hour
Answer:
6
Step-by-step explanation:
HELP PLZ
1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300
Answer:
Step-by-step explanation:
All of them beside D and A
7 th grade ixl helppppppppppp
Answer:
Question 1= EFC and GFH
Question 2=60
I'm not sure but I think its right!
Pls let me know
Also pls mark me brailiest