At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

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Answer:

Length=60 meters, width=40 meters.

Step-by-step explanation:

If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60

Answer:

4x-9

Step-by-step explanation:

6+7x-4-3x-11

Combine like terms: 7x-3x = 4x

                                :6-4-11 = -9

Combine them together and you get 4x-9

<><><><><><><><><><><><><><>OR<><><><><><><><><><><><><><><><><>

Subtract  4  from  6

7 x +2-3x-11

Subtract 3x from 7x

4x+2-11

Subtract 11 from 2

4x-9

Answer:

$40000

Step-by-step explanation:

640160≈640000

640000/16=40000

Answer:

Algebraic expression ; 11+x^2 =92

Solved answer = 9

Step-by-step explanation:

Let the unknown number be x ;

[tex]11 + x^2 = 92[/tex]

Solve for x ; Collect like terms ;

[tex]x^2 = 92-11\\\\x^2 = 81[/tex]

Square root both sides ;

[tex]\sqrt{x^2} = \sqrt{81} \\\\x = 9[/tex]

Answer: five.

Step-by-step explanation: The depth of a recursion or Recursive statement can simply be explained as the maximum number of times a function calls itself until the stopping condition is met. In the scenario above, the number of times the function calls itself is five hence the depth of recursion will be five. A Recursive function or algorithm involves repetitive calling of itself( that is the Recursive function) until the condition to stop is met, hence the number of times the fuction has to call itself before the stopping condition is satisfied is called the depth of the Recursive algorithm.

Answer:

x = 7

Step-by-step explanation:

3x + 2(x - 5) = 25

→ Expand brackets

3x + 2x - 10 = 25

→ Add the 'x's together

5x - 10 = 25

→ Add 10 to both sides to isolate 5x

5x = 35

→ Divide both sides by 5 to isolate x

x = 7

Answer:

E. is the correct^

Step-by-step explanation:

Answer:

The sum of X divided by 4 and 8 is -16.

Step-by-step explanation:

The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".

This all equals -16, so we have:

The sum of X divided by 4 and 8 is -16.

Answer:

x = 7

Exterior angle = 139°

Step-by-step explanation:

[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.

29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.

According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]

Solve for x using this expression

[tex] 15x + 34 = 29 + 12x + 26 [/tex]

[tex] 15x + 34 = 29 + 26 + 12x [/tex]

[tex] 15x + 34 = 55 + 12x [/tex]

[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]

[tex] 15x - 12x + 34 = 55 [/tex]

[tex] 3x + 34 - 34 = 55 - 34 [/tex]

[tex] 3x = 21 [/tex]

[tex] \frac{3x}{3} = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

Exterior angle = [tex] (15x + 34) [/tex]

Plug in the value of x

[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]

Exterior angle = 139°

Answer:

C. 0

Step-by-step explanation:

0 / 7 = 0 ÷ 7

recall that zero divided by any number is zero

hence 0 ÷ 7 = 0

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

Answer:

A) x intercept: (2, 0) , (-2, 0)

y intercept: (0, 16)

B) symmetric about y axis

Step-by-step explanation:

Given the function:

[tex]y=16-4x^{2}[/tex]

To find:

Algebraically, A) find the x and y intercepts and B) the symmetry type.

Solution:

A) x intercept, let us put y = 0

[tex]y=16-4x^{2}[/tex]

[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]

x intercept:  (2, 0) , (-2, 0)

For y intercept, put x = 0

[tex]y=16-4x^{2}[/tex]

y = 16 - 0 =16

y intercept: (0, 16)

B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],

the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]

Here, c = 16

b = 0 and

a = -4

So, Axis of symmetry is:

[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]

which is the equation of y axis.

So, given equation is symmetric about y axis.

Answer:

a 1 vertical angles

2 converse of the same side interior angle theorem

Step-by-step explanation:

<1 = <3 because they are vertical angles

Vertical angles are opposite angles formed by the same lines and sharing a vertex

<2 + <3 = 180  

converse of the same side interior angle theorem

If the angles on the same side between two lines add to 180, this is the same side interior angle theorem

Explanation:

Choice A is discrete because it is a finite set. There aren't infinitely many names in here.

The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.

An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.

Answer:

make sure you have a good understanding of the subject you are translating, and that the translation is for that subject

Answer:

x = 11

Step-by-step explanation:

Steps as below:

Answer:

1)  J, k and w

2)Y

3) ONE

Step-by-step explanation:

The three collinear points on line m are

✔ J, K, and W

.

Point  

✔ Y

is not on line m.

✔ One

line(s) could be drawn through points P and X.

Answer:bcd

Step-by-step explanation:

Step-by-step explanation:

p² − r² = 0

(p − r) (p + r) = 0

p = r or -r

Answer:

Grapes and strawberries

Step-by-step explanation: hope this helps :)

Answer:

Mr Singh went to the shops to buy some Coke. He wanted a $10 dollar pack which had 12 coke cans. He had a coupon which took off $4.05. Using the information above, what did Mr Singh pay?

Answer:

Step-by-step explanation:

John is given $10 pocket money. After spending $4.05 in the local store he has c dollars left.

Answer:

when substituting y=y

and multiple x^2+2 by x+2

you get a 3rd degree equation

thus having 3 answers one of which is -1.8

so D is the correct answer

Answer:

7 bows

Step-by-step explanation:

I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:

[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]

= 7 bows

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

Answer:

The sum of all the even integers between 99 and 301 is 20200

Step-by-step explanation:

For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)

Sum of n terms in an AP [tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

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

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

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

The AP for the sum of all the even integers between 99 and 301 will look like

100 + 102 + 104 + ... + 300

[tex]a[/tex] = 100

[tex]d[/tex] can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP

Hence, [tex]d[/tex] = 102 - 100 = 2

[tex]n[/tex] can be determined from the formula used to calculate the Last term of an AP

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

Where [tex]l[/tex] is the last term

In the AP, the last term, [tex]l[/tex] = 300

Then

[tex]300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101[/tex]

Hence, there are 101 terms in the AP

Now, to determine the sum

[tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

[tex]S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200[/tex]

Hence, the sum of all the even integers between 99 and 301 is 20200

Answer:

The input cannot be repeated, unlike the output which doesn't really matter if it is repeated in other words a function is a relation in which each input has only one output. Therefore the answer to this is A

Step-by-step explanation:

Answer:

113⁶ × 37³ × 51¹²

Step-by-step explanation:

(113² × 37 × 51⁴)³ =

113²ˣ³ × 37³ × 51⁴ˣ³ =            ⇒ power of the power is the product of powers

113⁶ × 37³ × 51¹²                    ⇒ answer, no more simplifications possible

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

Bring the given equation to mentioned form:

Since m = 2/3, it is the slope of the given equation

Answer:

x=abcl+32

Step-by-step explanation:

We need to solve for x for the below expression :

labc=x−32

Fisrt let's flip the question.

x-32=abcl

Add 32 on both the sides

x-32+32=abcl+32

We know that -32+32 = 0

x = abcl+32

So, the value of x is abcl+32.