5. How many different singing quartets can be formed from a class of 30 singers?

Answer:

22

Step-by-step explanation:

[tex]FH=8+14=22[/tex]

Answer:

FH = 22

Step-by-step explanation:

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Answer:

The equation is:

[tex]y = -x + 7[/tex]

Step-by-step explanation:

Given the endpoints of a side of a rectangle

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-6}{6-1}[/tex]

[tex]m=-1[/tex]

Using the point-slope form of a line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1 and the point (1, 6)

[tex]y - 6 = -1 (x - 1)[/tex]

[tex]y - 6 = -x + 1[/tex]

[tex]y = -x + 1 + 6[/tex]

[tex]y = -x + 7[/tex]

Thus, the equation is:

[tex]y = -x + 7[/tex]

Answer:

Cannot be determined

Step-by-step explanation:

You get that angles 4 + 5 and 2 + 1 are equal to 180 each. We still have angle 3 left over, and that angle could be anything, so it cannot be determined

Answer:

well 4+5=180°, 1+3=180°, that's 360, so I guess can't be determined since there's still another angle???

Step-by-step explanation:

idk, the answer choices could be wrong or im just wrong

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Answer:

The answer is "[tex]\frac{2}{8} > \frac{3}{16}[/tex] So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies [tex]\frac{2}{8} > \frac{3}{16}[/tex] eat more.

The two irrational roots of the cubic equation are - 2 + √3 and - 2 - √3, respectively.

In this problem we find the definition of a cubic equation, of which one root is known and we need to find the two missing roots. By algebraic handling, the cubic equation is:

f(x) = x³ + 7 · x² + 13 · x + 3

f(x) = (x³ + 3 · x²) + (4 · x² + 12 · x) + (x + 3)

f(x) = x² · (x + 3) + 4 · x · (x + 3) + (x + 3)

f(x) = (x² + 4 · x + 1) · (x + 3)

Then, the roots of x² + 4 · x + 1 are found by using the quadratic formula:

x² + 4 · x + 1 = (x + 2 - √3) · (x + 2 + √3)

To learn more on cubic equations: https://brainly.com/question/1727936

#SPJ1

Answer:

you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..

Step-by-step explanation:

Answer:

-4 + 5x - 7 = 10 + 3x - 2x

5x - 3x + 2x = 10 + 4 + 7

4x = 21

x = 21/4

x = 5 1/4 or 5.25

Answer: 5=x

Step-by-step explanation:

-4+5x-7=10+3x-2x

Combine like terms:

-10+5x=10+x

Subtract 10 on both sides:

-10-10+5x=10-10+x

-20+5x=x

Subtract 5x on both sides:

-20+5x-5x=x-5x

-20=-4x

Divide -4 on both sides:

-20/-4=-4x/-4

5=x

Answer:

A

Step-by-step explanation:

It pretty easy, I just estimate and it should be fine

water melons is >4 (15/3=5)

cereal is <4  (16/4=4 but its 20 cents less so the greatest that could happen is a 2 cent or 5 cent off but either way It’s still less than 3.99)

Pretelzels is <4 (11/3=3 2/3 which is les than 3.99)

icecream is >4 (19/4=4.75)

Answer:

Boxes of ceral and bags of pretzels

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

[tex]x^2-2x=3[/tex]

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2.  Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

[tex]x^2-2x+1=3+1[/tex]

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

[tex](x-1)^2=4[/tex] (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

[tex]y=(x-1)^2-4[/tex]

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original  equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Answer:

a= -12

Step-by-step explanation:

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

4 days = x

1 day = [tex]\frac{1}{4}[/tex]x

Marsha:

1 day = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{24}[/tex]x - [tex]\frac{4}{24}[/tex]x

        = [tex]\frac{2}{24}[/tex]x

        = [tex]\frac{1}{12}[/tex]x

Marsha can do [tex]\frac{1}{12}[/tex] of the work in 1 day.

No. of days taken (Marsha) = x ÷ [tex]\frac{1}{12}[/tex]x

                                             = 12

Answer:

(x-3)/4=y

Step-by-step explanation:

substitute x for y and y for x

x=4y+3

subtract 3 from both sides

x-3=4y

divide both sides by 4

(x-3)/4=y

Answer:

I would say 4 more miles than you each week

Step-by-step explanation:

Answer:

g(n) = n2 + 2

g(3) = (3)(2) + 2

g(3) = 8

Answer:

if g(n)=n2+2

you asked g(3)

by substituting the value we get

g(3)=3×2+2

g(3)=6+2

g(3)=8

so the answer is 8

hope it helps you mate

please mark me as brainliast.....

Answer:

the answer is x^2+8x+ c

Step-by-step explanation:

If  x 2 + b x + c  is a perfect square, then there is always the same relation ship between  b and c "Find half of  b  and square it" , so  c = ( b /2 ) ^2

 x^ 2 + 8 x + ( 8/ 2 )^2  =

x^ 2 + 8 x + 4^ 2 =

x^ 2 + 8 x + 16  =

( x + 4 ) ^2

I hope that helps you

Answer:

4) F and D are similar but not congruent.

Step-by-step explanation:

HOPE THIS HELP

PICK ME AS THE BRAINLIEST

Answer:

1) D and E are similar but not congruent

Step-by-step explanation:

This is because for it to be congruent they have to have the same size.

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

21 meters

Step-by-step explanation:

Each inch is 5.25 meters, so you multiply 4(the number of inches) by 5.25(how much 1 inch represents) to get a final answer of 21. Hope this helps!

Answer:

No

Step-by-step explanation:

substitute the coordinates of the point into the left side of the inequality and check the value obtained against the right side.

5(2) + 4(2) = 10 + 8 = 18 < 20

then (2, 2 ) does not make the inequality true

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

Answer : 2.5 cups per dollar

Step-by-step explanation:

You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups

Answer:

fdsvStep-by-step explanation:

Answer:

2^17

Step-by-step explanation:

the indices are added when the integers are multiplied. the integer, however, does not need to be changed since it is already the same.

umm I don't remember I would say if I remembered