Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]
He can put 7 cars together in 245,157 ways.
Find the unknown length in the picture below please help
Answer:
x = 12.65
Step-by-step explanation:
The angle between radius and tangent is 90°
Given diameter is 6, so radius = 3.
Then we use Pythagoras theorem
PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!
Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
What is the missing value in the last step? 3 6 9 18
Answer:
D
Step-by-step explanation:
edge 2021
The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. A(b)=14xb+5/2 Which equation below represents the inverse function B(a), which takes the trapezoid's area as input and returns as output the length of the other base? A. B(a)+a/7+5 B. B(a)=a/5-7 C. B(a)=a/7-5 D. B(a)=a/5+7
Answer:
[tex]b(a) =\frac{a}{7} -5[/tex]
Step-by-step explanation:
Given
[tex]A(b) = 14 * \frac{b + 5}{2}[/tex]
Required
Determine the inverse function b(a)
Write A(b) as a
[tex]a = 14 * \frac{b + 5}{2}[/tex]
Swap a and b
[tex]b = 14 * \frac{a + 5}{2}[/tex]
[tex]b = 7(a + 5)[/tex]
Divide both sides by 7
[tex]a + 5 = \frac{b}{7}[/tex]
Maka a the subject
[tex]a =\frac{b}{7} -5[/tex]
Swap a and b again
[tex]b =\frac{a}{7} -5[/tex]
Hence:
[tex]b(a) =\frac{a}{7} -5[/tex]
Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]
Answer:
a = 4.
Step-by-step explanation:
We know that:
[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]
is a singular matrix, now we want to find the value of a.
We know that a matrix is singular if:
Det [A] = 0
Where remember that the determinant of a 2x2 matrix is given by:
[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]
Then the determinant of A is:
Det [A] = 4*3 - a*3
and that must be zero, so:
4*3 - a*3 = 0
Now we just need to find the value of a:
12 - a*3 = 0
12 = a*3
12/3 = a
4 = a
So the value of a is 4.
Answer the one that’s is blank
5x + 15 = 15 + 5x
5x = 5x
x = x
?
A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 17 chairs, while the teacher's lounge needs 16.
Let n represent the number of classrooms included in the order and c represent the total number of chairs. Complete the table using the relationship between n and c.
5515828288777776677
12
The volume of water remaining in a tank after 10 of its original volume (x) is drained out
Answer:
x - 10
Step-by-step explanation:
The original volume is x, and 10 is removed.
In mathematical terms, this is expressed as x - 10.
Name the marked angle in 2 different ways.
Answer:
∠XWV ∠UWV
Hope this helps! :)
(FIRST CORRECT FOR BRAINIEST) Solve for x
Answer:
x = 12
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
10x - 11 + 3x - 2 + 3x + 1 = 180
step 1 combine like terms
10 + 3x + 3x = 16x
- 11 - 2 + 1 = -12
we now have 180 = 16x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
180 + 12 = 192
we now have 192 = 16x
step 3 divide each side by 16
16x / 16 = x
192 / 16 = 12
we're left with x = 12
Answer:
x=12
the seniot math wiz already explained it correctly
Please help…………………………
Answer:
Step-by-step explanation:
angle 2 is also 60 degree (being vertically opposite angles)
angle 3 is also 60 degree (being corresponding angles)
angle 4 is also 60 degree (being corresponding angles ) . sice angle 2 is 60 degree and relation between angle 2 and 4 is corresponding angle , angle 4 will also be 60 degree.
Simplify 3a²b³x 4a³b
Help for brainliest
Find h.
9 ft
h = [?] ft
Answer:
[tex]\sqrt{77}[/tex] ft
Step-by-step explanation:
Hi there!
Notice how we can create a right triangle in the cone, where the base is 2 ft (4/2=2), the height is h and the hypotenuse is 9 ft.
Using these values, we can solve for h with the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the two legs of a right triangle and c is the hypotenuse.
Plug in 2 and h as a and b and 9 as c:
[tex]2^2+h^2=9^2\\4+h^2=81\\h^2=81-4\\h^2=77\\h=\sqrt{77}[/tex]
I hope this helps!
Which compound inequality is represented by the graph?
Answer:
The answer would be [tex]x < -2[/tex] OR [tex]x \ge 4[/tex].
Step-by-step explanation:
Do pay attention to the hollow circle from which [tex]x < -2[/tex] is found; that means the value of x does not include -2, and therefore the < sign is used.
Hope this helped!
hmmmmmmmm
hope it helps
I need help with questions 11 and 12 please!
Q11: angle EFG = 90°
angle GDH = 90°÷2
= 45°
angle FEG = 90°÷2
= 45°
angle DHG = 180°-45°-45°
= 90°
Q12. (6x-21)°=90°÷2
=45°
6x=45°+22°
=67°
x=67°÷6
=11/1/6°
hope it helps:)))))
please give the answer if your answer will be correct I promise that will mark as brainliest
Answer:
4 1/2 : 2 1/4
Divide both sides by 2 1/4
2 : 1
-------------------------------
3 months : 1 year
1 year = 12 months
3 : 12
Divide both sides by 3
1 : 4
4÷1×2 it the answer and questions
Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
PLEASE HELP!!
(help me find the type of statement)
The proof of the given statement below.
What is Congruency?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
In ΔDEA and ΔCEA
<DEA= <CEA [Vertically opposite angle]
<ADE= <ACE [given]
AD= CA [given]
Thus, by ASA criteria ΔDEA is congruent to ΔCEA.
Hence, AE = BE [ CPCT]
Learn more about this concept there:
https://brainly.com/question/20521780
#SPJ1
A ramp 16 ft long rises to a platform that is 12 ft off the ground. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP !!!!!!
Find the range of the graphed function.
Answer:
-6 ≤ y ≤ 9
Step-by-step explanation:
Answer:it’s d
Step-by-step explanation:
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one container of marbles into container that is taller, but smaller in diameter so the level of marbles is higher than in the other container. When the researcher asks Trey which container has more marbles, Trey points to the taller, thinner container. What type of task has Trey been tested on
Answer:
Conservation
Step-by-step explanation:
Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.
Select the two values of x that are roots of this equation. 3x - 5 = -2x2
Answer:
C and A are the answer
Step-by-step explanation:
step by step
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?
A.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.
B.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
C.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.
D.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours.
Answer:
B
Step-by-step explanation:
40x + 80
50x + 50
add them together
x² + 8x + 16 =
I need the steps and the answer
and the box
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a
Answer:
Quadrilateral is another word for a shape with four sides.
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation:
AB=CD
AD=BC
BD not equal to AC (Diagonals are not equal)
AB not equal to BC (Adjacent sides are not equal)
Thus the quadrilateral is parallelogram
Brainliest please
A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.
Answer:
d is the answer ✌sin ०=3000/3050
A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship
Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.
Answer:
(a) See attachment
[tex](b)\ y =2.5x[/tex]
Step-by-step explanation:
Given
[tex]x \to pineapple[/tex]
[tex]y \to fruit[/tex]
[tex]x : y =2 : 5[/tex]
Solving (a): The graph
First, we create an equation from [tex]x : y =2 : 5[/tex]
Express as fraction
[tex]\frac{x }{ y} =\frac{2 }{ 5}[/tex]
Cross multiply
[tex]2y = 5x[/tex]
See attachment for graph
Solving (b): An expression that represents the relationship
In (a), we have:
[tex]2y = 5x[/tex]
Divide by 2
[tex]y = \frac{5}{2}x[/tex]
[tex]y =2.5x[/tex]
What is the common difference for this arithmetic sequence? 45,39,33,27,21,...
Answer:
I expect the correct answer
_6
.
Answer:
6
Step-by-step explanation:
because if u minus 39 from 45 u get six and same for the others
please help, giving points and brainlest !!
Answer:
(7,-8)
Step-by-step explanation:
it's a reflection off the x-axis correct me if im wrong i can barely see
Answer:
(7,-8)
Step-by-step explanation:
Point A is at (7,8).
the x-axis is the horizontal line.
Point A is 8 units up of the x-axis so the reflection would be down 8 units from the x-axis in the same line.
Hope this helps.
Someone help me on this Problem !!
Answer:
[tex] \frac{1}{2} [/tex]Negative1 divided by 1 = 12 divided by 4 = 2#Correct me if I'm wrong#Hope it's Help