Test
How many different committees with 4 members can be formed from a group of 9 students? (Order is not important.)

Answer:

6y +8

Step-by-step explanation:

8y - 1-/2 ( 4y - 16)

Distribute

8y - 1/2*4y - 1/2 *-16

8y -2y +8

Combine like terms

6y +8

Answer:

.000025

Step-by-step explanation:

25*10^-6

The negative means we move the decimal point to the left

The 6 means move it 6 places

25.

6 places to the left

Add the number of zeros as required

000025

.000025

Answer:

0.000025

Step-by-step explanation:

25 × 10^-6

25/10⁶

25/1000000

0.000025

Answer:

[tex]13.65^0.[/tex]

Step-by-step explanation:

Given,

Height of tee, H = 43 yard

Direct distance of the hole is, D = 177 yards

Now, Angle of depression of tee

[tex]\tan \theta = \dfrac{H}{D}[/tex]

[tex]\tan \theta = \dfrac{43}{177}[/tex]

[tex]\tan \theta =0.2429[/tex]

[tex]\theta = 13.65^\circ[/tex]

Hence, angle of depression from tee to the green is [tex]13.65^0.[/tex]

Answer:

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

Step-by-step explanation:

To find the inverse of this function, you need to replace the location of the x and the y.

You start with [tex]y=\sqrt{x}+2[/tex]. Now, replace the x and the y, and try to isolate the y.

[tex]x=\sqrt{y}+2\\x-2=\sqrt{y}\\y=(x-2)^2[/tex]

Hope this helps!

Answer:

3n - 6 = 38

3n -6 + 6 = 38 + 6

3n = 44

3n/3 = 44/3

n = 44/3

Step-by-step explanation:

1. set up the equation (the - affect the 6 not the 3)

2. add 6 to both sides

3. divide both sides by 3 to get n

Answer:250 N

Step-by-step explanation:

Given

mass of skater on left side [tex]m_l=70\ kg[/tex]

mass of skater on right side [tex]m_r=90\ kg[/tex]

If the skater on the left experience a force of [tex]250\ N[/tex]

If they push against each other then they must experience  an equal force according to newtons third law

Thus [tex]F_l=F_r[/tex]

Thus skater on right experience [tex]250\ N[/tex] force

Using Newton's third law, if the first skater pushes off with a force of 250 N, the second skater will experience an equal but opposite force of 250 N. This occurs irrespective of the skaters' masses.

The subject of this question is physics, specifically Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the first skater pushing off the second skater, and the reaction is the force experienced by the second skater.

The amount of force experienced by the first skater is 250 N. Because of Newton's third law, this means the second skater is also experiencing a force of 250 N. The direction of the force, however, is in the opposite direction to the force experienced by the first skater.

The force experienced by an object is independent of its mass. Therefore, despite the second skater having a mass of 90.0 kg versus the first skater's 70.0 kg, the force experienced remains the same.

In conclusion, the second skater experiences a force of 250 N.

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Answer: [tex]9x^2-x+4[/tex]

Combine Like Terms

[tex]3x^2+-x+7+6x^2+-3\\(3x^2+6x^2)+(-x)+(7+-3)\\9x^2+-x+4[/tex]

Answer:

Ladder reaches 9.76 high.

Step-by-step explanation:

From the figure attached,

Ac is the ladder which reaches at the point A when leans against the side of a house.

Length of the ladder = 10 feet

Distance of the ladder form the base of a house = 2.2 ft

By Pythagoras theorem,

AC² = AB² + BC²

(10)² = h² + (2.2)²

h² = 100 - 4.84

h = √95.16

h = 9.755 feet

  ≈ 9.76 feet

Therefore, the ladder reaches the 9.76 high.

The answer is 9.7 feet

If the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

Previous Balance=$568.23

Interest=$2.37

Deposits=$562.32

Withdrawals=$874.36

We have to apply the addition and subtraction operations in order to find the new balance.

New balance = Previous Balance+Interest+Deposits-Withdrawals

New balance = $568.23+$2.37+$562.32-$874.36

New balance =$258.56

Thus, if the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.

Learn more about the arithmetic operation here:

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Answer: the answer is 12

Answer:

1x1x1x1x1

Step-by-step explanation:

1^5 is the same as 1x1x1x1x1 because a power multiplies a number by itself

Answer:

1x1x1x1x1

Step-by-step explanation:

1^5 = 1x1x1x1x1 = 1

(happy to help!!!)

Answer:

cannibalism

Step-by-step explanation:

Tara starts with $20, in which she buys 2 items for d amount. Subtract 2d from the total for your answer.

1) 20 - 2d

To find the average distance, add all the numbers together, and divide by the amount of numbers there are:

3) (t + w)/2

~

Answer:

its 5760ins

Step-by-step explanation:

80 inches * 36 inches * 2 inches = 5760 inches3

good day, and be safe

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

Answer:

V = 24 mi^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 4*3*2

V = 24 mi^3

Vertex of the angle is 11.31 cm far from the center of the circle.

     Given in the question,

In ΔOPV and ΔOQV,

OP ≅ OQ (Radii of the circle)

PV ≅ QV (Tangents from a point outside the circle)

OV ≅ OV (Reflexive property)

ΔOPV ≅ ΔOQV (SSS property of congruence)

Therefore, m∠PVO = m∠QVO = 45°

By triangle sum theorem,

m∠POV + m∠PVO + m∠OPV = 180°

m∠POV + 45° + 90° = 180°

m∠POV = 45°

Hence, ΔOPV is an isosceles triangle.

OP = PV = 8 cm

By applying Pythagoras theorem in ΔOPV.

OV² = OP² + PV²

OV² = 8² + 8²

OV = √128

OV = 11.31 cm

   Therefore, vertex V is 11.31 cm from the center of the circle.

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The distance from the vertex of the angle to the center of the circle is 0 centimeters.

In this problem, we have two tangents to a circle, and we are given that the angle between them is 90 degrees. We need to find the distance from the vertex of the angle to the center of the circle.

Since the angle between the tangents is 90 degrees, the tangents are perpendicular to each other. This means that the vertex of the angle is located on the circumference of the circle, and it forms a right triangle with the center of the circle and one of the points where the tangents intersect the circle.

Using the Pythagorean theorem, we can find the distance from the vertex to the center of the circle. Let's call this distance x. We know that the radius of the circle is 8 centimeters, so one leg of the right triangle is 8 centimeters. The other leg is x centimeters, and the hypotenuse is the radius of the circle plus x centimeters.

Applying the Pythagorean theorem, we have:

x^2 + 8^2 = (8 + x)^2

Simplifying the equation, we get:

x^2 + 64 = 64 + 16x + x^2

Cancelling out x^2 terms, we have:

64 = 64 + 16x

Subtracting 64 from both sides, we get:

0 = 16x

Dividing both sides by 16, we get:

x = 0

Since we cannot have a distance of 0, the equation does not have a solution. This means that the vertex of the angle is located at the center of the circle, and the distance is 0 centimeters.

Answer:

C

Step-by-step explanation:

8x^2 -  8x + 2

=2(4x^2 - 4x  + 1)

=2(2x - 1)^2

Answer:

y=4.347

Step-by-step explanation:

To solve for y in the equation:

[tex]\dfrac{y}{2.3}+5.69 =7.58[/tex]

First, subtract 5.69  from both sides

[tex]\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347[/tex]

Answer:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

Step-by-step explanation:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

For example:

Given a scale factor of 25%, would the quotient of the area of the scale drawing to the area of the original  drawing be?

Answer:

The quotient of the areas would be equal to the square of the scale factor. Therefore, the quotient  of the scale drawing to the original in this example would be equal to [tex](\frac{1}{4}) ^{2}[/tex]

Hope it will find you well.

Answer:

A. y= 150+65x

Step-by-step explanation:

65 is the only number that changes. The 150 will be the same no matter what.

Answer:

170 degrees

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, meaning that they add up to 180 degrees. This means that x+10=180, or that x=170 degrees. Hope this helps!

Answer:

0.72

Step-by-step explanation:

[tex] \cos \: 44 \degree = 0.7193398003 \\ \cos \: 44 \degree =0.72[/tex]

Answer:

Step-by-step explanation:

x² - 17x + 72 = 0

Sum = -17

Product  = 72

Factor = 8 , 9

x² - 17x + 72 = 0

x² - 8x -9x + (-8)*(-9) = 0

x(x - 8) -9(x -8) = 0

(x - 8 ) (x - 9) = 0

Length = (x - 8) units

Width = (x - 9) units

Answer:

3x would equal 18 is x was 6

Step-by-step explanation:

x=6

3*6=18

3x would equal 18

Answer: 0%

Step-by-step explanation:

if you toss a coin 4 times you cant get 5 results.

Answer:

i am very sorry but i am trying to solve it so wait a few minutes please

Step-by-step explanation:

Answer: D

x+3/x-3

Step-by-step explanation:

Answer:

6 outcomes

Step-by-step explanation:

3 (main courses) x 2 (drinks) = 6 outcomes

eggs - orange juice

granola - orange juice

oatmeal - orange juice

eggs - milk

granola - milk

oatmeal - milk

Answer:

This question says:

"the lenghts of the sides and the diagonal of a rectangle are 3 odd consecutive numbers".

This means that if x is an odd number, then the meassures are:

x, x + 2, x + 4.

We add 2 in each case, because the next consecutive number of, for example, 3 is 3 + 2 = 5, and so on.

Now, from the Pitagoras theorem we know that, for a triangle rectangle, we have

A^2 + B^2 = H^2

where A and B are the cathetus, and H is the hypotenuse.

In our case the smaller odd numbers will be the cathetus and the larger one will be the hypotenuse.

x^2 + (x + 2)^2 = (x + 4)^2

x^2 + x^2 + 4x + 4 = x^2 + 8x + 16

x^2 - 4x -12 = 0

now we need to solve this for x

we know that for a quadratic equation of the form:

ax^2 + bx + c = 0

the solutions are:

[tex]x = \frac{-b +- \sqrt{b^2 -4ac} }{2a}[/tex]

in our case we have:

[tex]x = \frac{4 +- \sqrt{16 +48} }{2} = \frac{4+-8}{2}[/tex]

The only positive value is x = 12/2 = 6

but 6 is not odd, so we can never have that the sides and the diagonal are odd consecutive numbers.

Answer:

$9.3 dollars.

Step-by-step explanation:

To solve this question, you will need to begin by finding the percentage left of the original value:

100%-70%= 30% left.

Now, to find the exact value of the discounted item, you will solve for 30% (0.3) of $31:

0.3×31= $9.3 dollars.