Answer:
The first part is correct! → There are 4 distinct instruments to distribute to 4 distinct people. And there are 4!=24 distinct ways of doing this.
For the second part. → Jay and Jack can only play 2 instruments, therefore we have 2 instruments for 2 people, and the distribution for these guys can be made in 2!=2 distinct ways.
Then, note that all that is left are 2 distinct instruments for 2 people. So there is an additional 2 distinct ways of doing this distribution for these other guys.
By the product rule, in total, we can do 4 distinct distribution in this condition.
Step-by-step explanation:
Please mark me as brainliest
Solve the inequality and graph the solution on the number line.
h−9 ≤ 3
I couldn't screenshot the graph
Answer:
A closed circle on 12, going to the left.
Step-by-step explanation:
h − 9 ≤ 3
+ 9 + 9
h ≤ 12
Look for a closed circle on 12, going to the left.
Hope that helps!
7. The number of fish, f, in Skipper's Pond at the
beginning of each year can be modeled by the equation
f(x) = 3(2*), where x represents the number of years
after the beginning of the year 2000. For example,
x = 0 represents the beginning of the year 2000, x= 1
represents the beginning of the year 2001, and so forth.
According to the model, how many fish were in
Skipper's Pond at the beginning of the year 2006 ?
A. 96
B. 192
C. 384
D. 1,458
E. 46,656
Using the given exponential model, it is found that the number of fish in Skipper's Pond at the beginning of the year 2006 is given by:
B. 192
What is the exponential model?The exponential model for the number of fish in the Pond in x years after 2000 is given by:
[tex]y(x) = 3(2)^x[/tex]
2006 is 6 years after 2000, hence the amount is of y(6), that is:
[tex]y(6) = 3(2)^6 = 192[/tex]
Hence option B is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
I need help with three and four
Answer:
Step-by-step explanation:
Part 3 :
We simply expand the brackets
(a+b)² = (a+b)(a+b)
(a+b)(a+b) = a²+ab+ab+b² = a²+2ab+b²
This is part 3 done
Part 4:
We simply expand 3 brackets now:
(2x-1)³ = (2x-1)(2x-1)(2x-1)
We do the first 2 brackets first:
(2x-1)(2x-1) = 4x²-2x-2x+1 = 4x²-4x+1
Now we multiply this by the last bracket:
(4x²-4x+1)(2x-1) = 8x³ -4x²-8x² +4x+2x -1 = 8x³-12x²+6x-1
This is part 4 done
Hope this helped and brainliest please
identify the type of function represented by f(x)(1)/(2)*(3)^(x)
The graph for Pool A shows the gallons of water filling the pool as a function of time. The graph for Pool B shows the rate of filling the pool as a function of time. Use the drop-down menus to complete the statements below about the two pools.
The graphs of pool A and pool B are illustrations of piece-wise functions
The rate of both pools from t1 to t2, t is 0.
How to determine the rates of the graphsFrom 0 to t1, the rates of the pools are:
Pool A = A/t1
Pool B = B/t1
Where A represents the gallons of water in the pool and B represents the rate at time t1
From t1 to t2, the rate of both pools is 0.
This is so because both intervals are represented by horizontal lines
Read more about piecewise functions at:
https://brainly.com/question/3628123
A boat is heading towards a lighthouse, whose beacon-light is 105 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 7^{\circ}
∘
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 21^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Answer:
AB ≈ 581.6 ft
Step-by-step explanation:
The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:
Tan = Opposite/Adjacent
tan(7°) = (105 ft)/A
A = (105 ft)/tan(7°)
Using similar reasoning, the distance to B is ...
B = (105 ft)/tan(21°)
Then the distance from A to B is ...
AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))
AB ≈ 581.6 ft
_____
Additional comment
We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...
AB = (105 ft)(tan(83°) -tan(69°))
Jose rode his bike for 18 miles in one hour. Which graph best represents y, the number of miles a Jose can travel in x hours?
Explain Please!
Answer:
the answer is option C..
Answer:
graph c
Step-by-step explanation:
if Jose rode his bike for 18 miles in one hour, the graph has to show it. Graph c is the only one that shows 18 miles in one hour, being the point (1,18)
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
Which linear equation represents the situation?
y = 2 x + 8.50
o y = 2.25 x + 4.00
y = 6.50 x + 2.25
y = 12 x + 22.50
It's second option, just didn't see a question up for this one
Answer:
Y=2.25x+4.00 would be the answer!:)
Step-by-step explanation:
The slope is 2.25 and the starting point is 4.00
To find the slope subtract 8.50 and 15.25 then divide it by 3
Answer:
B.) y = 2.25x + 4.00
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Which one is correct?
Answer:
C, there are 9 pencils in each row.
Step-by-step explanation:
find the slope intercept
Answer:
11 is B and 12 is A
Step-by-step explanation:
Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotnuse? round to the nearest tenth.
Let Hypotenuse be x
X² = 20² + 28²
x² = 400 + 784
[tex] \tt x= \sqrt{400 + 784 } [/tex]
[tex] \tt x= \sqrt{1,184} [/tex]
[tex] \tt x= 34.4[/tex]
A trapezoid has an area of 18 mi.² the bases are 5 miles and 7 miles what is the height of the trapezoid-
Answer:
the answer is H=3 miles
Step-by-step explanation:
Area of Trapezoid = [tex]{(Base1+Base2)/2 }* (Height)[/tex]
we sub the values we have in the formula:
18= ( 5+7)/2 * (H)
H = (2*18)/(5+7)
H = 3 miles
where is H is the Height
Can you please help with problem 3
Answer: 6 and 8
Step-by-step explanation:
(The top and bottom)
A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.
Hope this helps =)
5. Which of the following algebraic expressions could
represent forty less than one-half the value of x?
A. 40 -
2
c. 3 (v – 40)
.
)
NINI
B.
40
D.
- 40
x
2
Select one:
O a. A
O b. B
Ос. С
O d. D.
Answer:
dang i had a hard time on this wish i could help
Step-by-step explanation:
i need help, plsss
4(-4x-1)+x+3=44
Answer:
x = -3
Step-by-step explanation:
Start by distributing the 4 to the terms in the parentheses:
4(-4x)+4(-1)+x+3=44
-16x-4+x+3=44
Combine like terms
-15x-1=44
Add 1 to both sides
-15x-1+1=44+1
-15x=45
Divide both sides by -15
x = -3
Answer: x = -3
Step-by-step explanation: distribute, combine, divide, you get x = -3
A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths of 4. 6 feet. What is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2.
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
What is a regular octagon?It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 + [tex]\sqrt{2}[/tex]) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.
[tex]\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16[/tex]
Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
https://brainly.com/question/858868
In the diagram below, AB is parallel to CD. What is the value of x?
72
А
B
D
O 72
O 18
62
108
Answer:
x = 72
Step-by-step explanation:
angles x and 72° are corresponding angles and are congruent , then
x = 72
The value of x is 72 degree.
Option A is correct.
What is Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines never intersect, regardless of how far they are extended in either direction.We have the parallel line AB || CD.
As, we know the parallel line have following property
Corresponding Angle are EqualAlternate Interior Angle are EqualAlternate Exterior Angle are EqualNow, from the figure using Corresponding angle
x = 72 degree
Thus, the required angle is 72 degree.
Learn more about Parallel line here:
https://brainly.com/question/16701300
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One more I think!
We got this!
What is (2x⁵+2x³-5x²-x+4)÷(x²+x+2)?
Answer:
2x³ - 2x² - 1 + (6 / x² + x + 2)
find the quotient-you must show your thinking to support your answer - 5/4 divided by 1/4
Work Shown:
[tex]-\frac{5}{4} \div \frac{1}{4}\\\\-\frac{5}{4} \times \frac{4}{1}\\\\-\frac{5\times4}{4\times1}\\\\-\frac{5}{1}\\\\-5[/tex]
Whenever you divide fractions, you flip the second fraction and multiply. In this case, the '4's cancel.
.
Find the values of x and y
3. In the Diagram, DEFG = WXFG.
E
х
75°
F
60°
question # 3
(15x + ylº
G 3x - 5
0
W
Answer:
x = 5 , y = 15
Step-by-step explanation:
Since the figures are congruent then corresponding sides and angles are congruent , that is
WG = DG ( substitute values )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
and
∠ WGF = ∠ DGF , that is
15x + y = 90 ( substitute x = 5 )
15(5) + y = 90
75 + y = 90 ( subtract 75 from both sides )
y = 15
10/15 = x/20 in decimal
1. Observe problem
Restriction: Decimal Form
Least common multiple of 15 and 20 is: 60
Time sixty on both sides
40=3x
x=40/3
Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...
Answer: 13.3 repeating
Step-by-step explanation:
First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3. 14 to approximate pi, and express your final answer as a decimal. Enter your answer as a decimal in the box. Ft³.
Answer:
226.08 ft³
Step-by-step explanation:
[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)
[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]
Given:
diameter = 12ft ⇒ radius = 12 ÷ 2 = 6 ftheight = 6ft[tex]\pi[/tex] ≈ 3.14[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]
Two airplanes leave the airport. Plane A departs at a 44° angle from the runway, and plane B departs at a 40° angle from the runway. Which plane was farther away from the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth.
Group of answer choices
Plane A because it was 31.67 miles away
Plane A because it was 22.78 miles away
Plane B because it was 34.23 miles away
Plane B because it was 26.22 miles away
Answer: Answer:
Plane B was farthest away from the airport
Step-by-step explanation:
"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.
In plane A
The take-off angle is 44° and the height gained is 22 ft.
Apply the relationship for sine of an angle;
Sine Ф°= opposite side length÷hypotenuse side length
The opposite side length is the height gained by plane which is 22 ft
The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse
Applying the formula
sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse
In plane B
Angle of take-off =40°, height of plane=22miles finding the hypotenuse
Solution
After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport
After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."
Excerpt from Brainly
If you can drive 300 km on 16 litres of petrol how far can you drive on 20 litres
Answer:
The answer is 375
Step-by-step explanation:
First you would need to divide 300 and 16 then you would get 18.75 then you multiply that by 20 and then you get your final answer which is 375.
Find the missing side lengths.
Answer:
x= 6
y= 2
Step-by-step explanation:
conversion factor is 2, so you have to divide by 2 in order to get your answers :)
Answer:
x = 6
y = 2
Step-by-step explanation:
Just divide 6 a number and you have to get 3, in this case it's 2.
So then divide 4 and 12 by 2, and that will get you the answer.
Hope this helps!
Please can you help I’ll give most Brainly worth 63 points to but also this is my last question and I’m stuck
Answer:
2.726
Step-by-step explanation:
This question has a lot of answers because it doesn't specify a certain w or l.
11.6*9.4=109.04
109.04*.1/4=27.26
x*y=27.26
x*10=27.26
x=2.726
any two numbers could multiply to that number.
I just used 10 and got 2.726
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.
On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The linear equation is shown below.
[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]
The equation can be written as
[tex]\rm 3x - 10y = 450\\[/tex]
For y = 15, the value of x will be.
[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]
The value of x is 200.
Thus, option D is correct.
More about the linear system link is given below.
https://brainly.com/question/20379472
How many golf balls can fit into a container that is 14 inches tall and has a radius of 5 inches? Each golf ball has a volume of 2.5 cubic inches.
Answer:
about 440 balls
Step-by-step explanation:
The volume of the container is first calculated
[tex]v=\pi (5)^{2} (14)=1099.6 cu.in[/tex]
It is now divided by the volume of the golf ball
[tex]#balls=\frac{1099.6}{2.5} =439.8[/tex]
Hope this helps