In how many ways can the first 4 guest arrive at a party if 15 guest have been invited

Answer:

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus

∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )

Answer:

Step-by-step explanation:

The given equation is

[tex]5x^{2} -21x=39[/tex]

Where [tex]a=5[/tex], [tex]b=-21[/tex] and [tex]c=39[/tex], let's use the quadratic formula

[tex]x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4[/tex]

Therefore, the x-interecepts are 5.6 and -1.4, approximately.

Answer:

28°

Step-by-step explanation:

62° + 90° = 152°

180° - 152° = 28°

Stay safe and have a wonderful day! Peace!✌

So the answer is 28 degree.

Look at the attached picture

Hope it will help you..

Answer:

b= 4

Step-by-step explanation:

b-1.6= 2.4

I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4

b= 2.4+ 1.6

Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.

b=4

So, b= 4

To check my work I would plug in b back into the equation:

So...

b=4

b-1.6= 2.4

4-1.6= 2.4

Answer:

B=4

Step-by-step explanation:

Hope it will help you!

Answer:

a= 13+3b

Step-by-step explanation:

Simplifying

a + -7 = 3(b + 2)

Reorder the terms:

-7 + a = 3(b + 2)

Reorder the terms:

-7 + a = 3(2 + b)

-7 + a = (2 * 3 + b * 3)

-7 + a = (6 + 3b)

Solving

-7 + a = 6 + 3b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + a = 6 + 7 + 3b

Combine like terms: -7 + 7 = 0

0 + a = 6 + 7 + 3b

a = 6 + 7 + 3b

Combine like terms: 6 + 7 = 13

a = 13 + 3b

Simplifying

a = 13 + 3b

Answer:

The radius of a circle is half the length of its diameter.

The diameter of a circle is twice the length of its radius.

Answer:

answers at the bottom- basically got the entire question wrong LOL

Step-by-step explanation:

The location or bearing of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.

The bearing of an object is the direction or location of an object from another place using the northern direction as the reference point.

Given the initial bearing and speed of the ship:

The components form of the vector representing the ship at 3:30 pm is -58, 24.6 miles.

This means the ship is about 24.6 miles north and 58 miles to the west of where the ship left the port.

Therefore, the location of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.

Learn more about bearing at: https://brainly.com/question/19511275

Answer:

36

Step-by-step explanation:

if it is two hours then half of it is 9

so 18 + 9 = 27 which is how many miles she biked

6 is the number of miles she ran

so u times it by 1.5

27 + 9 = 36

Answer:

36 miles

Step-by-step explanation:

Her running speed is 6 mph and her biking speed is 9 mph (from part a and b)

she biked for 3 hours so multiply that by 9 (biking speed) to get 27

she also ran for an 1.5 hours so multiply that with 6 (running speed) to get 9

27+9=36

hope this helps!

Answer:

rectangular container

Step-by-step explanation:

Triangular prism area: A = 1/3 * base area * height

                                        = 1/3 * 12 * 19

                                        = 76 cm²

Rectangular prism: A = base area * height

                                   = 8 * 15

                                   = 120 cm²

The rectangular container has a better value because it has a bigger area and is cheaper.

Hope this helps!

Answer:

rectangular container

Rectangular container

Step-by-step explanation:

Answer:

(0,10)

Step-by-step explanation:

Answer: 57 feet

Step-by-step explanation:

Multiply 75 by the remaining amount of water

75x.76 = 57

Answer:

57 feet

Step-by-step explanation:

100%=75 feet

24%=x

 24 x 75=1800/100=18 feet

    75

  -18=57 feet

Answer:

252

Step-by-step explanation:

I think I may be wrong

The surface area of the triangular prism is: 252 square feet

A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.

Analysis:

Surface area of triangular prism = area of 3 rectangles + area of two triangles

Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet

In conclusion, the surface area of the triangular prism is 252 square feet.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ2

Answer:

Ok , why would you just ask the question "WILL MARK BRAINLIEST"?

Answer: 14, 17, 30

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:

a + b > c    &    a + c > b     &       b + c > a

21 + 23 = 44 which is NOT greater than 44

2 + 3 = 5 which is NOT greater than 7

12 + 36 = 48 which is NOT greater than 53

14 + 17 > 30     &    14 + 30 > 17       &     17 + 30 > 14

so these side length form a triangle

Answer:

first option

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = - 2 (x - 6)² + 18 ← is in vertex form

with vertex = (6, 18 )

Answer:

The third one.

Step-by-step explanation:

Answer:

[tex](40-2)^2[/tex]

Step-by-step explanation:

Given: [tex](38)^2[/tex]

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.

Here, [tex]38=40-2[/tex]

So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]

Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]

Answer:

(40 − 2)^2

Step-by-step explanation:

(First just do simple math to narrow down your choices)

A: (40 − 2)^2

40 - 2 = 38

B: (40 + 2)^2

40 + 2 = 42

C: (29 − 9)^2

29 - 9 = 20

D: (29 + 9)^2

29 + 9 = 38

(Now you just have A and D)

A: (40 − 2)^2

D: (29 + 9)^2

(Determine which properly expresses a Perfect Square Trinomial)

A: (40 − 2)^2

I just took the test.

Answer:

76.3%

Step-by-step explanation:

Answer:

simply simplify

[tex]\frac{100}{x^{3} }[/tex]

Answer:

1. B and E

2. B

Step-by-step explanation:

1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:

80 / 12 = 20 / 3

Similarly, if we take (3, 20), we get the same relationship:

20 / 3 = 20 / 3

That means we need to select an ordered pair that follows this relationship:

A. (14, 100)  ⇒  100 / 14 = 50 / 7 --- wrong

B. (15, 100)  ⇒  100 / 15 = 20 / 3 --- correct

C. (16, 100)  ⇒  100 / 16 = 25 / 4 --- wrong

D. (16, 120)  ⇒  120 / 16 = 15 / 2 --- wrong

E. (18, 120)  ⇒  120 / 18 = 20 / 3 --- correct

The possible answers are B and E.

2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:

A. (3, 5)  ⇒  5 isn't a multiple of 3, so wrong.

B. (3, 9)  ⇒  3 is the x-coordinate and 9 = 3 * 3, so this is correct.

C. (3, 7)  ⇒  7 isn't a multiple of 3, so wrong.

D. (2, 3)  ⇒  3 isn't even the x-coordinate, so wrong.

The correct answer is thus B.

Answer:

1. B (15,100) & E (18,120)

2. A (3,9)

Step-by-step explanation:

Equation:

y = mx + c

m = (80-20)/(12-3) = 60/9 = 20/3

c = 0

y = 20x/3

(15,100)

100 = 20(15)/2

100 = 100

(18,120)

120 = (20×18)/2

120 = 120

2.

y = 3x

Where y is the amount and x is the no. of bracelet

This is a proportional relationship

From the options, only A satisfies the relationship

Answer:

The area is 63 cm

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

multiply s by t

Step-by-step explanation:

you just multiply s times t and get your answer

Answer:

[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]

Step-by-step explanation:

[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]

Hope this helps!

Answer:2/5

Step-by-step explanation:

Answer:

I think its B...not completely sure though

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.

Substitute 5 in for a, 12 for b, and x for c.

[tex]5^2+12^2=x^2[/tex]

Evaluate the exponents.

5^2 is the same as 5*5, which is 25.

12^2 is the same as 12*12, which is 144.

[tex]25+144=x^2[/tex]

Add 25 and 144

[tex]169=x^2[/tex]

We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x[/tex]

The hypotenuse is 13.

So the right answer is 13.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

y = 3/4x

Step-by-step explanation:

We need to find the slope of the line

We have point (0,0) and point (4,3)

m = (y2-y1)/(x2-x1)

    = (3-0)/(4-0)

     =3/4

The y intercept is 0 since it crosses the y axis at 0

The slope intercept form of the line is

y = mx+b

y = 3/4x +0

y = 3/4x

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Answer:

100

Step-by-step explanation:

Answer:

Step-by-s tep explanation:

Answer:

Step-by-step explanation:

Let m and n represent the numbers.  Then m + n = 97 and n - m = 7.

Solving the second equation for n, we get n = m + 7.  Substituting m + 7 for n in the first equation we obtain:

m + (m + 7) = 97, or

2m + 7 = 97, or 2m = 90

Dividing both sides by 2, we get m = 45.  Then n must be 52.

Answer:

108°

Step-by-step explanation:

The sum of the exterior angles = 360°, thus

third = 360° - 252° = 108°

Answer:

some of exterior=360,hence360-252=108

He has 32 1 dollar bills and 17 2 dollar bills I THINK

32 + 17 = 49 and 32 + 17(2) = 66

Answer:

32 one-dollar bills