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Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]

Answer:

10?

Step-by-step explanation:

Answer is 6.

Explaination:

When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.

Answer:

Step-by-step explanation:

Given function:

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

The given function has:

Find the value of b:

The function is:

The y-coordinate of the vertex is:

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = [tex] \frac{ - b}{2a} [/tex]

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.

Answer:

261.8 cm^3

Step-by-step explanation:

1) find the base area

base area = radius^2 x pi = 5^2 x pi = 25 x pi = 78,539816 cm^2

2) find the volume

V = (base area x height)/3 = (78.539816 x 10)/3 = 785.3/3 = 261.8 cm^3

Answer:

12

Step-by-step explanation:

1.5 cups a person

1.5 x 8 is 12

Answer: Yes, they are similar

Step-by-step explanation:

Angle A is congruent to angle D

Angle B is congruent to angle E

Angle C is congruent to angle F

Therefore, the triangles are similar by the AAA (angle-angle-angle) similarity theorem.

Answer:

50%

Step-by-step explanation:

Answer:

1. (top left corner) = 8km^3

2. (bottom left corner) = 243 in^3

3. (top right corner) = 200 cm^3

4. (bottom right corner) = 3165.12 m^3

Step-by-step explanation:

1. (top left corner) lwh = 4km x 2km x 1km = 8km^3

2. (bottom left corner) (lwh)/3 = (9 x 9 x 8) / 3 = 243 in^3

3. (top right corner) lwh = 5 x 5 x 8 = 200 cm^3

4. (bottom right corner) πr^2h

R = 12

3.14 x 12^2 x 7 = 3.14 x 144 x 7 = 3165.12 m^3

Answer:

Step-by-step explanation:

Y = kxz

Putting values of y x and z in the equation

4 = k(2)(3)

4 = k6

2/3 = k

Now finding y when x = - 6 and z = 2

Y = kxz

= 2/3(-6)(2)

= - 8

Answer:its actually 20%

Step-by-step explanation:

I looked it up

Answer:

3.76

Step-by-step explanation:

Esther uses 9.4 pints of blur paint and white pant for her bedroom

3/5 of this amount is blue paint while the rest is white paint

3/5

= 0.6×100

= 60

Therefore the amount of white paint can be calculated as follows

40/100 × 9.4

= 0.4×9.4

= 3.76

Answer:

37 yd²

Step-by-step explanation:

The computation of the surface area of this triangular pyramid is shown below:

The surface area of this triangular pyramid  is

But before that

Lateral area = 3(1 ÷ 2) × base × height

= (3 ÷ 2)(4 yd)(5 yd)

= 30 yd²

Now

base area = 1 ÷ 2 × base × height

= 1 ÷ 2(4 yd)(3.5 yd)

= 7 yd²

Now the total surface area is  

surface area = lateral area + base area

= 30 yd² + 7 yd²

= 37 yd²

Answer:

10

Step-by-step explanation:

Answer:

girl- frost on window and... thats not math but kk

Step-by-step explanation:

dew on grass because condensation is water vapor

Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

Answer:

Total Accrued Amount = $3,277.45

Interest Amount = $327.45

Step-by-step explanation:

A = $3,277.45

I = A - P = $327.45

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7.4%/100 = 0.074 per year.

Solving our equation:

A = 2950(1 + (0.074 × 1.5)) = 3277.45

A = $3,277.45

The total amount accrued, principal plus interest, from simple interest on a principal of $2,950.00 at a rate of 7.4% per year for 1.5 years is $3,277.45.

Answer:

Total amount: $3,277.45

Interest: $327.45

Total: 2,950(1 + (0.074 x 1.5)) = 3,277.45

Interest: 3,277.45 - 2,950 = 327.45

Step-by-step explanation:

Answer:

199.50

Step-by-step explanation:

285×(1-0.30)=199.50

The solution is, the surface area of the right cone is 602 cm^2.

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

here, we have,

Given that,

The slant height of the cone, l = 16 cm

The radius of the cone, r = 8 cm

The height of the cone is :

h² = l² - r²

or, h² = 16² - 8²

         = 192

or, h = √192

       = 13.85

now, we know that,

The surface area of the cone is given by :

SA = πr² + πrl

     =200.96 + 401.92

     = 601.93

     =602

Hence,  the surface area of the right cone is 602 cm^2.

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Answer:

32.8%

Step-by-step explanation:

Container A:

Diameter = 30 feet

Radius = diameter/2 = 30/2

= 15 feet

Height = 16 feet

Volume of a cylinder = πr²h

= 3.14 * 15² * 16

= 3.14 * 225 * 16

= 11,304 feet ³

Container B:

Diameter = 22 feet

Radius = diameter / 2

= 22/2 = 11 feet

Height = 20 feet

Volume of a cylinder = πr²h

= 3.14 * 11² * 20

= 3.14 * 121 * 20

= 7598.8 feet ³

what is the percent of Container A that is full after the pumping is complete?

Container A - container B

= 11,304 feet ³ - 7598.8 feet ³

= 3,705.2 feet ³

percent of Container A that is full after the pumping is complete = 3,705.2/11,304 × 100

= 0.328 × 100

= 32.8%

percent of Container A that is full after the pumping is complete = 32.8%

Answer:

3ab^2

Step-by-step explanation:

The GCF of 9, 15, and 21 is 3.

The GCF of a^2b^3, ab^2, and a^4b^3 is ab^2.

The answer is the product of the two terms which is 3ab^2.

Answer:

A. $80

B. $60

C. 4 Weeks

D. Sam might have to work more at his work or possibly lower the amount of money he needs to save.

Step-by-step explanation:

Hope this Helps!!

The number of weeks taken by Sam to save enough money is 17 weeks.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

a) Money Sam earns in one week = Money paid per hour * Number of hours per week

= 8×10

= $80

b) Money saved every week is

75% of 80

= 75/100 ×80

= 0.75×80

= $60

c) He can reach his goal of having $1,000 as an emergency fund.

Let the number of weeks taken by Sam to save enough money be x.

Now, 60x=1000

x=1000/60

x=17 weeks

d) School is starting in a few weeks and he wants to buy some new supplies including a backpack, pens and notebooks, and more.  

He estimates the total will be about $75.

So, Sam has to work one week extra to purchase his needs for school.

Therefore, the number of weeks taken by Sam to save enough money is 17 weeks.

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Answer:

hey baby, i pray to god every night for my smoking hot wife. ily

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

Given data

Length=50cm

Width= 30cm

Volume = 36liters

=36000cm^3

We know that the expression for volume is

V= L*W*H

substitute

36000=50*30*H

36000= 1500*H

H= 36000/1500

H= 24cm

Hence the height is 24cm

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

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