Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
Help. Please and a few others are
Answer:
YES ITS MEDIAN!!!
Step-by-step explanation:
Answer:
yes you are correct it is the median.
Step-by-step explanation:
Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in
Answer:
6pulgadas
Step-by-step explanation:
Which of the following is true about the figure?
a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM
Answer:
a. m<MUC - m<MUP = m<PUC
Step-by-step explanation:
From the options given, the only statement that is true of the figure shown is:
a. m<MUC - m<MUP = m<PUC
Rationale:
m<MUC = m<MUP + m<PUC (Angle Addition Postulate)
Subtract m<MUP from each side
m<MUC - m<MUP = m<PUC
5m²+15m=0
t²-5t+6=0
5p²+12p+4=0
2a²+10a-48=0
x(2x+5)=0
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
a= 3, a= -8
x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
It Got Answers Promise
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
write an equivalent expression 8(y-7z+1)
Answer:
8y−56z+8
Step-by-step explanation:
Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?
9514 1404 393
Answer:
200 cm
Step-by-step explanation:
1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...
(600 cm)/3 = 200 cm . . . length of each piece
3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial
Answer:
c
Step-by-step explanation:
A quadratic trinomial has the form of ax² + bx + c
e.g. 3x² + 4x + 2
A quadratic binomial has the form of ax² + bx
e.g. 3x² + 4x
A cubic binomial has the form : ax³ + bx
3x³ + 4x
NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.
9514 1404 393
Answer:
48.0 seconds2833 metersStep-by-step explanation:
A graphing calculator shows the points of interest nicely.
The rocket splashes down after 48.0 seconds.
The maximum height is 2833 meters above sea level.
__
The equation for the motion is ...
h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m
The vertex (maximum height) is found at ...
t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds
Then the maximum height is ...
h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters
The value of t when h(t) = 0 can be found using the quadratic formula.
t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8
t ≈ 48.023 ≈ 48.0 . . . seconds
Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?
Answer:
(gof)(x) = x² + 2x + 1
Step-by-step explanation:
You can solve this by plugging f into g and finding the result:
(gof)(x) = f(x)²
= (x + 1)²
= x² + 2x + 1
. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C
Answer:
C IS THE ANSWER
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
how many degrees is a acute angle
Any angle that measures less than 90 degrees
If sin x=3/4,then cos x
A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
what is the total surface area
Answer:
237.5
Step-by-step explanation:
2·(5·7.5+6.5·7.5+6.5·5)=237.5
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answer:
c
Step-by-step explanation:
Find the solution set of the inequality:
-3x + 8 < 15
Answer:
the answer would be x>-7/3
Write an expression for " x divided by nine".
Please help!!
10 POINTS
Answer:
x/9
Step-by-step explanation:
x divided by 9
=> x ÷ 9
Take that and turn it into a fraction
=> x/9
hope this helps and is right. p.s. i really need brainliest :)
Answer:
45
Step-by-step explanation:
a family wants to have two children determine the probability of a family having two girls
Someone answer this Please
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
Simplify fully
4x2 + 4x
2x² – 2
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
PLEASE HURRYYYYYYYYY
Answer:
12r ft
Step-by-step explanation:
you're welcome have a nice day