Answer:
Step-by-step explanation:
aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:
tanθ = opp/adj = y/x
y = xtanθ
What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):
dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)
We need to find out values for all of the variables:
The observer is not moving, therefore dx/dt = 0.
The observer is standing 4 miles away from the lift-off point, so x = 4.
The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.
The rate of change for the angle, dθ/dt, is 0.1.
Just plug all the numbers in:
dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)
dy/dt = 0 + 1.6
dy/dt = 1.6 mi/min
3 (2a + 6) what is the valur of this exspression when a = 4
please help!!
2a means = 2 x a
if a = 4
3 x (2 x 4 + 6) = 3 x (8 + 6) = 3 x 14 = 42
When using synthetic division you must switch the signs in the divisor
Correct answer:
True
False
b a dddddddies hmuuuuuuuuuuuu XD
f(x)=3x^3 + 4x^2 - 6x -7
g(x)= 2x-4
Find (f-g)(x)
Answer:
f(x)-2x+4
Step-by-step explanation:
f(x)-g(x)
f(x)-g(x)=f(x)-(2x-4)
f(x)-(2x-4) remove parentheses for addition or subtraction
f(x)-2x+4
You need to buy insulation to cover the inside of a shipping container. The container is a rectangular prism that is 15 feet long, 8 feet wide, and 7 feet high. How much insulation do you need to buy if you want to insulate all the inside surfaces of the shipping container except the floor?
Answer:
442 ft²
Step-by-step explanation:
The amount of insulation needed is the amount that covers the area of the side walls and the ceiling. The area of the side walls is the product of the perimeter and height. The area of the ceiling is the product of length and width.
__
Lateral area = Ph = 2(L+W)h = 2(15 ft +8 ft)(7 ft) = 322 ft²
Ceiling area = LW = (15 ft)(8 ft) = 120 ft²
__
Insulation needed = lateral area + ceiling area = 322 ft² +120 ft²
Insulation needed = 442 ft²
sub : 4x - 3y + 9z from 16x - 12y - 3z.
Answer:
12x−9y−12z
Step-by-step explanation:
1. 16x−12y−3z−4x−(−3y)−9z
2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)
3. Combine −12y and 3y to get: (12x−9y−3z−9z)
4. Combine −3z and −9z to get: (12x−9y−12z)
Answer: 12x−9y−12z Step-by-step
explanation: 1. 16x−12y−3z−4x−(−3y)−9z 2. Combine 16x and −4x to get: (12x−12y−3z+3y−9z)3. Combine −12y and 3y to get: (12x−9y−3z−9z) 4. Combine −3z and −9z to get: (12x−9y−12z)
If 14 is added to a number, the result is 40 less than twice the number. Find the number.
Answer:
Asher should be 61
Step-by-step explanation:
I did half the answer but what is e= ?
Answer:
See below.
Step-by-step explanation:
e=12c+6
e=12(1)+6
e=12+6
e=18
e=12(2)+6
e=24+6
e=30
e=12(3)+6
e=36+6
e=42
e=12(4)+6
e=48+6
e=54
-hope it helps
A suit is on sale for 72% off. The sale price is $263.20.
What is the regular price?
Answer:
940
Step-by-step explanation:
To find the original price of something that been discount do the following:
Subtract the discount from 100 to get the percentage of the original price.Multiply the final price by 100.Divide by the percentage in Step One.Or we can do the following:
We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:
x · 72/100=x - 263.20
x · 18/25 = x - 263.20
Multiply both sides by 25
18x = 25(x - 263.20)
Open the brackets.
18x = 25x-6580
Add 6580 to each side.
6580 +18x = 25x
Subtract 18x from each side.
6580 = 7x
Subtract 7x from each side.
x = 940
Check Answer:
940 * 72% = 676.80
940 - 676.80=263.20
Hence, the regular price is 940.
~lenvy~
Step-by-step explanation:
The sale price ( The marked price ) :- $263.20
Discount :- 72%
Discount :- marked 100 ,Discount 72 ,Seliing ( Regular ) 28
Regular price :- 263.20 × 28 / 100
$ 73.69
Find the value of x.
Answer:
Maybe 8
Step-by-step explanation:
because its the same side
Answer:the largest angle has a measure of _____degrees.
Answer:
depends mostly it'll b 180 degress
Step-by-step explanation:
A rectangular prism has a base area of 17 cm², and a height of 5 centimeters. What is the volume of the prism?
Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
Consider the expression 1.1(1.3)x+4Which of the following is an equivalent expression?
Answer:
the equivalent expression is 1.1(1.3)^4 ×(1.3)^x
Answer:
d
Step-by-step explanation:
i took the test
In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
Sam buys a tent priced at $50 if the sales tax is 5% how much tax will Sam pay
tax will be = 50 x 5% = $2.5
what is the total mass of 4 bags of sugar each with a mass of 450g ,840g,336g and 1kg?
Answer:
total mass is equal to
450g+840g+366g+1kg
=1626g+1000g
=2626g
mass is in kg so it is 2.626kg
What is the answer? Please simplify!
Answer:
2/125 or 0.016
Step-by-step explanation:
0.1= 1/10
1/10^3 × 2^-4
2 × 1/5^3
2 × 1/125
2/125
PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!
HINT: integrate with respect to y first (it is an easier approach)
∫∫5x sec^2(xy) dA; R={(x,y): 0 ≤ x ≤ π/6 , 0 ≤ y ≤ 2
[Answer] -5/2 ln(1/2)
Answer:
Step-by-step explanation:
[tex]=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}[/tex]
[tex]=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\[/tex]
[tex]=-\frac{5}{2}\ln{\frac{1}{2}[/tex]
Solve the following equation for p: 6/p=x+a
[tex]\dfrac 6p = x+a\\\\\implies \dfrac 6p \times\dfrac 16 = (x+a) \times\dfrac 16 ~~~~~~;\left[\text{Multiply both sides by}~ \dfrac 16 \right]\\\\\implies \dfrac 1p = \dfrac{x+a}6\\\\\implies p= \dfrac{6}{x+a}~~~~~~~~~~~~~~~~~~~~;[\text{Cross multiply}][/tex]
Solve for x: ___ degrees.
Answer:
63
Step-by-step explanation:
This is a cyclic quadrilateral, meaning that its opposite angles are supplementary. So, x=180-117=63.
is -2^3b^3 + 15c^3/8 z^3 a monomial, binomial, trinomial, or other polynomial.
Answer: binomial
Step-by-step explanation: it has 2 terms
need help with this question please
Answer:
your answer is correct
Step-by-step explanation:
the product of two consecutive odd number is 143 find those two odd numbers show ll workings
Answer:
11,13
11×13=143
Step-by-step explanation:
please mark me as brainlest
I THINK ITS C BUT PLSS TELL ME IF IM RIGHT
Use a number line to find the value of:
eight tenths plus one eighth equals
A. eight tenths
B. one tenth
C. nine tenths
D. seven tenths
Answer:
it is .925 which is very close to 9/10 so C would be correct
Step-by-step explanation:
Answer:
0.925 so I would pick option C.
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
The answer should be 3 :)
Step-by-step explanation:
Pick a point on f(x) and count up until you hit the g(x) point :)
When i did this, i got 3 :)
Have an amazing day!!
Please rate and mark brainliest!!
Which expressions are equivalent to 4b
Choose all answers that apply:
b + 2(b + 2b)
3b + b
2(2b)
2(b + 2b) - 4b
ANSWER ASAPP PLSSSSSSSSSSSSSSSSSSSSSSSSSSs
[tex]3b+b=4b\\\\2(2b)=4b\\\\[/tex]
There are 150 boys and girls playing in the soccer tournament.50 of the students are wearing red.what percent of the of players are wearing red.
Answer:
1/3 or 33%
Step-by-step explanation:
You can first do: 50/150
Which is 5/15 simplified
And do the quick math:
1/3 or 33%
PLEASE EXPLAIN’
Which set of numbers correctly
shows a number, its opposite, and
its absolute value, in that order?
A 98.4
-98.4 98.4
B -74.3 -74.3
-74.3 74.3
C 46.2 46.2 -46.2
D 28.9 -28.9 -28.9
Answer:
A
Step-by-step explanation:
because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value
The following refers to a purchase of a machine by a company on January 1, 2021:
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
Maximum amount the company can pay $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.
How to calculate the cash flow?Maximum amount that can be invested = $32348.
Less: Present value of salvage value = $5927
Present value of cash inflow = $32348 - $5927 = $26421.
Net cash flow will be:
= $26421 / PV factor
= $26421/5.242
= $5041
In conclusion, the correct option is $5041.
Learn more about cash flow on:
https://brainly.com/question/735261
1. Raphael bought eight pens and nine erasers from a shop and paid GHC 33. His friend, Yao bought five similar pens and six erasers from the same shop and paid GHC 21. Calculate the price of the pen and the erasers respectively.
The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.
How to solve equation simultaneouslylet
x = price of pen
y = price of erasers
The equation
8x + 9y = 33
5x + 6y = 21
multiply (1) by 6 and (2) by 948x + 54y = 198
45x + 54y = 189
subtract to eliminate y48x - 45x = 198 - 189
3x = 9
x = 9/3
x = 3
substitute into (1)
8x + 9y = 33
8(3) + 9y = 33
24 + 9y = 33
9y = 33 - 24
9y = 9
y = 9/9
y = 1
How to solve simultaneous equation:
https://brainly.com/question/16863577
A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55
How many employees took a break that lasted between 37 and 41 minutes?
Select from the drop-down menu to correctly complete the statement.
About (blank) employees took a break that lasted between 37 and 41 minutes.
Answer:
90
Step-by-step explanation:
37 and 41 is only in the 25% percentile.
360 X .25 = 90
Plus, I took the K12 test and got it right.
The number of employees took a break that lasted between 37 and 41 minutes is 60.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We know that;
There are 360 employees in total and that they are evenly distributed along this plot. Therefore, we can divide 360 by the width of this plot to find how many employees are represented by one unit on this plot. The width of this plot is 58 - 34 = 24 units.
So, 360 / 24 = 15
This means that for every unit on this plot, there are 15 employees who took a break with that duration.
Now we can multiply this number by the width of the box to find how many employees took a break between 37 and 41 minutes. The width of the box is 41 - 37 = 4 units. So,
15 * 4 = 60
This means that there are 60 employees who took a break that lasted between 37 and 41 minutes.
Therefore, by the unitary method the answer will be 60 employees
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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