! PLEASE HELP!
A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 4 flags will be flown. Find the number of different signals consisting of 4, if the first flag must be orange.

If the first flag is orange then the number of different signals consisting of 4 flags is ____

Answers

Answer 1

Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.

The order in which the flags are chosen is not important, hence, the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:

[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700


Related Questions

There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X

Answers

Answer:

5

Step-by-step explanation:

19-14=5

for the Tape diagram just make 19 boxes and fill in 5.

help me!!Write a function using correct notation that models the value of each car.

Answers

Answer:

[tex]f(x) = 2000 * 1.05^x[/tex]

Step-by-step explanation:

The key to this question is interpreting the graph and then modelling it into an exponential function.

You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)

Now refer to the standard form of an exponential function.

[tex]y = a * b^x[/tex]

Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000

So you got your a value. Sub it into the equation and now you got.

[tex]y = 2000 * b^x[/tex]

You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.

[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]

Now you have your a and b values. Now you can express using a function:

[tex]f(x) = 2000 * 1.05^x[/tex]

Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of paint covers 50 square feet.

How many pints of paint does Mike need to buy in order to paint 4 boxes?

9 pints
7 pints
6 pints
5 pints

Answers

The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.



How many pints is needed?


The first step is determine the total surface area of a box.


Total surface area of a cuboid = 2 (lw + wh + lh)


where:
l = length
w = width
h = height


2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft


The second step is to determine the total surface area of 4 boxes:


111.5 x 4 = 446


Now, divide 446 by 50


446 / 50 = 9 pints

Answer:

Step-by-step explanation:

The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.

Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:

= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)

= 100.88 square feet

4 boxes will have a total surface area of

100.88*4

= 403.52 square feet

Each pint of paint covers 50 square feet so a total of

403.52/50 = 8.07 or

9 pints is needed.

Here are the endpoints of the segments BC, FG, and JK.
B, −67

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]

[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]

[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]

Can someone solve this?

Answers

Step-by-step explanation:

First box =25

Second Box = 0.25

The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles.

Question 2 options:

4:3


3:4


3:2

1:2

Answers

Step-by-step explanation:

3 blue

4 red

2 yellow

in total 9 marbles.

when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).

so, the ratio is

3:6 = 1:2

remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...

What is the circumference

Answers

25.1 yards
multiply the radius by 2 and multiply that number with pi and you get your answer of 25.1 yards

John drove 737 miles in 11 hours At the same rate, how many miles would he drive in 5 hours?

Answers

Answer:

Step-by-step explanation: 737/ 11= 67

sooooo 67 x 5= 335

What is the area and circumference of the circle? diameter = 12 cm​

Answers

Answer:

Circumference = 7.68 cm

Area = 113.04 cm²

Step-by-step explanation:

First, let us find the radius of the given circle.

d = 2r

r = d / 2

r = 12 / 2

r = 6 cm

And now, let us find the circumference of the circle using the below formula.

C = 2 π r

C = 2 × 3.14 × 6

C = 37.68 cm

And now let us find the area of the circle using the below formula.

A = π r²

A = 3.14 × 6 × 6

A = 113.04 cm²


Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.

Part B: Are these figures congruent? how do you know?

Answers

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

Find out more on transformation at: https://brainly.com/question/4057530

2,7, 12, ...
Find the 46th term.

Answers

Given is an A.P. in which -

First term,a = 2Common difference = Second term - First term

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = a_2-a_1[/tex]

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 7-2 [/tex]

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 5[/tex]

Solution:-

nth term of an A.P ,is given by-

[tex]\green{ \underline { \boxed{ \sf{a_n =a+(n-1)d }}}}[/tex]

where

[tex]a_n = nth \;term[/tex]a = first termn = number of termd = common difference

Putting n = 46

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + (46-1)\times 5 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 45\times 5 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 225 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 227 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, the 46th term is 227

Hence, the [tex]46th[/tex] term is [tex]227[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]2,7, 12,...[/tex]

Here,

[tex]a=2[/tex]

[tex]d=a_2-a_1\\d=7-2\\d=5[/tex]

The general formula of the sequence is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n=[/tex] nth term

[tex]a[/tex] is the first term

[tex]d[/tex] is the common difference

[tex]n[/tex] is the number of terms

Now substituting the values in general formula is

[tex]a_{46}=2+(46-1)5\\\\a_{46}=2+(45)5\\\\a_{46}=2+225\\\\a_{46}=227\\[/tex]

Hence, the [tex]46th[/tex] term is [tex]227[/tex].

To know more about the sequence

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What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​

Answers

Answer:

centre (5, 6 ) , r = [tex]\sqrt{37}[/tex]

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = [tex]\sqrt{37}[/tex]

what is the answer for this also?

Answers

Answer:

64 cm^3

Step-by-step explanation:

V = lwh

V = 4 x 4 x 4

V = 64 cm^3

Hope this helps!

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{volume \: of \: square = {x}^{3} }[/tex]

[tex] \mathsf \pink{v = {4}^{3} }[/tex]

[tex] \mathsf \purple{v = {64cm}^{3} }[/tex]

jimmy has 27 apples and there are 9 houses. he feeds the same number of apples to each horses. how many apples dose jimmy feed to each horse?

Answers

-------------------------------------------------------------------------------------------------------------

Answer:

The answer is, Jimmy, fed the horses 3 apples each.

27 apples divided into the 9 horses

27 ÷ 9 = 3

If you had 27 seven apples and you individually gave one apple to each of the 9 horses each horse would end up having 3.
-------------------------------------------------------------------------------------------------------------

NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem such that the quotient is the same as 3/7 divided by 5/14


.

Answers

Answer:

6 6

---- ÷ ---

16 10

Step-by-step explanation:

equals 5/8

help please :) help ​

Answers

Answer:

6

Step-by-step explanation:

4 time one is 1

plug in 1 for m

and you got 4 - -2

witch both negatives make a positive

BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =

Answers

Answer:

Step-by-step explanation:

9.23

Luz borrowed
money from her bank for home repairs, the principal was $25,000, the rate
was 15% the time was 6 years. How
much interest will she pay and what is the total amount she will have to
pay back? (Principal and interest).

Answers

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Simple interest

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

https://brainly.com/question/20690803

It is given that AB CD Identify the postulate that proves the triangles are congruent

Answers

Answer:

i can't see the multiple choice

Step-by-step explanation:

angle c and b are equal

angle a and d are equal

and you have a common angle o

and ab = cd

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

It is given that AB || CD. The side AB is congruent to the side CD.

The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.

And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Model this equation using a visual model.
4x + 8.46 = 2x + 15.62

Answers

I will clarify you
Soln:-
Or,4x-2x=15.62-8.46
Or,2x=7.16
Or,x=7.16/2
Or,x=3.58

Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?


a 1 113 words

b 3 113 words

c 1 330 words

d 1 130 words

Answers

1hour=600

2hour=600+600

=1200words

HELP MeMe M3 i dont get it

Answers

Add 22,25,28,9 and 21 together and then divide by 5 (for other question divide by how many numbers you added up) the answer is $21

What is 3/5 1/2 because my answer is 7/10 and my teacher said it's wrong

Answers

Answer:

If you want to multiply then,

3/5 × 1/2 = 3/10 or 0.3

If you want to Add then,

3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1

If you want to subtract then,

3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1

If you want to Divide then,

3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5

Triangle PQR is shown, what is the value of x?

Answers

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Find x. Perimeter.

What is the value of x?

What is the perimeter of this triangle?

Answers

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

please help me i need to solve for x

Answers

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.

Answers

Answer:

132 cm³

Explanation:

[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]

put radius: 3 cm, height: 14 cm, π as 22/7

[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]

[tex]\sf \rightarrow 132 \ cm^3[/tex]

Find the measure of the arc or angle indicated

Answers

Answer:

D) 130

Step-by-step explanation:

So there are three arc sections in this problem,

The first one is given: 158

To find the arc between S and R, you can use the angle of point T and double it.

So:

36 * 2 = 72

The second arc is 72

Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle

Like so:

360 - (158 + 72) = 130

Answer:

130

Step-by-step explanation:

Which property can be used to solve the equation?

5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:Division property of equality

Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

What is the value of x? (angle bisector problem)

Answers

Answer:

47

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

VT/KT = VY/KY

Substitute the lengths and solve for x:

77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47

Use angle bisector theorem

77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47

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