At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?

This is a combination problem where the order doesn't matter.

We compute the number of combinations with the following formula:

Where n is the number of things to choose from, and we choose r of them. No repetition, the order doesn't matter.

In our problem, we have n = 20 and for r we can pick r = 16 or r =4 (with both options we get the same result), picking r = 16 we get:

Answer

We have 4845 ways possible to get 4 problems correct and 16 problems wrong from a 20 problem set.

Answer:

Around 370 when rounded

Step-by-step explanation:

ok so we know that for one day rental cost 24.95 and 0.27 per mile.

Brad has a budget of 200 and wants to rent a car for 4 days and wants to know how many miles he can drive with his budget.

First off you have to mulitply 24.95(which is how much the rental cost per day) by 4. 24.95 x 4=99.8 so out of his 200 dollars he now has 100 budget for miles.

Next we are going to divide the 100 dollars left out of the budget by the cost per mile which is 0.27. 100/0.27=370 when rounded.

Answer:

Step-by-step explanation:

Answer:

2 + 1.5x

Step-by-step explanation:

$2 to start, then $1.50 for x amount of miles, so you would just substitute whatever number of miles instead of x to get the total charge

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

9

Step-by-step explanation:

PEMDAS

inside parentheses we have 3*2 = 6

9-6 =3

3^2 = 9

Answer:

Hence the answer is given as follows,

Step-by-step explanation:

Graph of y = f(x) given,

(a) \(\lim_{x\rightarrow 2^{-}}f(x)=3\)

(b) \(\lim_{x\rightarrow 2^{+}}f(x)=1\)

(c) \(\lim_{x\rightarrow 2}f(x)= DNE \left \{ \therefore \lim_{x\rightarrow 2^{-}} f(x)\neq \lim_{x\rightarrow 2^{+}}f(x) \right.\)

(d) \(f(2)=3\)

(e) \(\lim_{x\rightarrow 4}f(x) = 4\)

(f) \(f(4)= DNE.\){ Hole in graph}

Hence solved.

Answer:

d

Step-by-step explanation:

40% = 40/100

40/100 X = 8

X = 800/40 = 20

X% of 40 = 20/100*40 = 8

If 40percent  of x is 8, then x% of 40 is 8. Option D is the correct answer.

Percentage is a way of expressing a portion or a part of a whole as a fraction of 100. It is commonly used to compare quantities, make comparisons, and analyze data. The symbol "%" is used to represent a percentage. Option D is the correct answer.

To find x% of 40, we need to first determine the value of x.

We are given that 40% of x is 8. This can be expressed mathematically as: 0.4 × x = 8

To solve for x, we divide both sides of the equation by 0.4:

x = 8 ÷ 0.4

Simplifying the right side gives us: x = 20

Now that we know x is 20, we can calculate x% of 40.

To do this, we multiply x% (20%) by 40: (20÷100) × 40 = 8

Therefore, x% of 40 is 8.

So, the correct answer is (D) 8.

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Answer:

24

Step-by-step explanation:

3^3+4-7

27+4-7

24

The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.

To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first

E - Exponents (i.e., powers and square roots, etc.)

MD - Multiplication and Division (left to right)

AS - Addition and Subtraction (left to right)

Start with the exponent:

3² = 3 × 3 = 9.

Next, perform the division:

8 ÷ 2 = 4.

Now, deal with the parentheses:

(4 + 3) = 7.

Finally, perform the addition and subtraction from left to right:

9 + 4 - 7

= 6.

So, the simplified expression is 6.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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\(135\leq 10r +15\\\\\implies 120 \leq 10r\\\\\implies 12 \leq r \\\\\implies r \geq 12 \\\\\text{Interval,}~~ [12,\infty)\)

Answer:

see explanation

Step-by-step explanation:

p = x - 3 + (14*29)

substitute 7 for x

p=7-3+(14*29)

p=410

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

\(Given:-\)

\(volume: \pi r^2h/3\)

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

hope it helps...

have a great day!!

Answer:

a) The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Step-by-step explanation:

a) From Linear Algebra, we define the translation by the following vector:

\(O'(x, y) = O(x,y) +T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(O'(x,y)\) - Translated point, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

If we know that \(G(x,y) = (-1,6)\), \(H(x,y) =(-1,3)\), \(I(x,y) = (-6,6)\) and \(T(x,y) = (7,-5)\), then the vertices of the triangle G'H'I' are, respectively:

\(G'(x,y) = G(x,y) +T(x,y)\) (2)

\(G'(x,y) = (-1,6) +(7,-5)\)

\(G'(x,y) = (6, 1)\)

\(H'(x,y) = H(x,y) + T(x,y)\) (3)

\(H'(x,y) = (-1,3) + (7,-5)\)

\(H'(x,y) = (6,-2)\)

\(I'(x,y) =I(x,y)+T(x,y)\) (4)

\(I'(x,y) = (-6,6) +(7,-5)\)

\(I'(x,y) = (1, 1)\)

The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) From Linear Algebra, we define the reflection with respect to a horizontal line as follows:

\(O''(x,y) = O(x,y) - 2\cdot [O(x,y)-R(x,y)]\) (5)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(R(x,y)\) - Reflection point, dimensionless.

If we know that \(G(x,y) = (-1, 6)\) and \(R(x,y) = (-1,-3)\), then the location of point G'' is:

\(G''(x,y) =G(x,y) -2\cdot [G(x,y)-R(x,y)]\) (6)

\(G''(x,y) = (-1,6)-2\cdot [(-1,6)-(-1,-3)]\)

\(G''(x,y) = (-1,6) -2\cdot (0,9)\)

\(G''(x,y) = (-1,6)-(2,18)\)

\(G''(x,y) = (-3,-12)\)

If we know that \(H(x,y) =(-1,3)\) and \(R(x,y) = (-1,-3)\) , then the location of the point H'' is:

\(H''(x,y) =H(x,y) -2\cdot [H(x,y)-R(x,y)]\) (7)

\(H''(x,y) = (-1,3)-2\cdot [(-1,3)-(-1,-3)]\)

\(H''(x,y) = (-1, 3) -2\cdot (0,6)\)

\(H''(x,y) = (-1,3)-(0,12)\)

\(H''(x,y) = (-1, -9)\)

If we know that \(I(x,y) = (-6,6)\) and \(R(x,y) = (-6, -3)\), then the location of the point I'' is:

\(I''(x,y) =I(x,y) -2\cdot [I(x,y)-R(x,y)]\) (8)

\(I''(x,y) = (-6,6)-2\cdot [(-6,6)-(-6,-3)]\)

\(I''(x,y) = (-6,6)-2\cdot (0,9)\)

\(I''(x,y) = (-6,6)-(0,18)\)

\(I''(x,y) =(-6,-12)\)

The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Answer:

Step-by-step explanation:

r = 8/3 units

h = 13 units

Volume of cone = (1/3) πr²h

                           \(= \frac{1}{3}* 3.14 * \frac{8}{3}* \frac{8}{3}*13\\\\= 96.76 cubic units\)

If the radius of the base of the cone, r, is \( \frac{8}{3} \) units and the height, h, is 13 units, what is the volume of the cone ?

\( \bullet \) Radius of the base of the cone (r) is \( \frac{8}{3} \) units.

\( \bullet \) Height (h) of the cone is 13 units.

Volume of the cone.

We know,

Formula of volume of cone is \( \frac{1}{3} \) πr²h

So, volume of the cone = \( \frac{1}{3} \) × \( \frac{22}{7} \) × \( (\frac{8}{3})² \) × 13

= \( \frac{1}{3} \) × \( \frac{22}{7} \) × \( \frac{8}{3} \) × \( \frac{8}{3} \) × 13

= \( \frac{22 \: × \: 8 \: × \: 8 \: × \: 13}{3 \: × \: 7 \: × \: 3 \: × \: 3} \)

= \( \frac{18304}{189} \)

= 96.85 cubic units.

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

Tyler: 5x + 2y = 24

Gabe = 4x + 4y = 30

x = 3

y = 4.5

Step-by-step explanation:

4y = 30 - 4x

y = 7.5 - x

5x + 2(7.5 - x) = 24

3x + 15 = 24

x = 3

y = 7.5 - 3

y = 4.5

Answer:

let (5,4)=(x1,y1)

(-3,-2)=(x2,y2)

now, by using distance formula

we get distance between line segment =10 unit

therefore distance =10 units ans

Solution,

As the formula...

\( = \sqrt{( - 3 - 5 {)}^{2} + ( - 2 - 4 {)}^{2} } \)

\( = \sqrt{( - 8 {)}^{2} + ( - 6 {)}^{2} } \)

\( = \sqrt{64 + 36} \)

\( = \sqrt{100} \)

= 10 units...

☘☘☘....

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

\(y=\frac{3}{2}x+8\)

Step-by-step explanation:

\(y=mx+b\\\)

slope=m

\(y=-\frac{2}{3} x-1\)

slope=\(-\frac{2}{3}\)

slope=\(\frac{3}{2} ,(-4,2)\)

\(y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\\)

Add 2 to both sides

\(Answer:y=\frac{3}{2} x+8\)

hope it helps!!

Answer:

3. Initial cost = 99 dollars.  Each hour (h) is 19 dollars. The total value will be initial cost + hours*(cost per hour)=> t=99+19h.

4. She will be using the car for 3 days. Each day costs 29.99. There is no initial cost, so her total cost will be 29.99*3=89.97 dollars.

The additional information that is obtained by measuring two individuals on an interval scale compared to a ordinal scale is the magnitude of the difference between the two measurements.

Measurement scale is an analysis tool used in statistics that are used to measure different variables. Examples of measurement scale are:

When measuring two individuals, on an interval scale the magnitude of the difference between the two measurements can be taken.

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The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

x = 7

Step-by-step explanation:

56 + 21 = 77 divided by 11 = 7

May i please get the brainiest

Answer:

Shawn: 13 Payton: 5

Step-by-step explanation:

If you get a base number and add 8 to that number and keep doing that until you get 18.

5+8

= 18

Hope this helps.

Answer: (x+2)(2x-8)

if you let x = 1 it give h(x) = -18

Answer:

1/4 is the common fraction