the volume of the cube is 8 ft^3. what the length of each side?

Answer:

number of ways to chose a three course meal is 90

Step-by-step explanation:

Given the data in the question;

Number of appetizer = 3

Number of soups = 5

Number of main courses = 3

Number of desserts = 3

Now,

Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5

Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

So,

First we chose an appetizer, soup and main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Next,  we chose a dessert, a soup & a main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Total number of ways to chose a three course meal

⇒ 45 + 45 = 90 ways

Therefore, number of ways to chose a three course meal is 90

Answer:

90?

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Using GEMDAS

G-Group

E-Exponent

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step 1: Substitute the value y=5 in the equation

35÷(5+2)+4

Step 2: Evaluate the equation by computing first the parenthesis

35÷(7)+4

Step 3: Next divide 35 by 7

(5)+4

Step 4: Add

=9

The answer is 9.

Answer:

-4.3 degrees

Step-by-step explanation:

if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.

11.4 - 15.7 = -4.3 degrees

so, the temperature at midnight was -4.3 degrees

Answer:

80°

Step-by-step explanation:

lol hope I'm correct

1/6 odds of rolling a 6

1/2 odds of flipping tails

1/6 x 1/2 = 1/12

The probability that she gets a 4 and a tail is 1/12.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Helen rolls a die and flips a coin.

The probability of getting 4 on the die,

= 1/6

The probability of getting tail on the coin,

= 1/2

The probability that she gets a 4 and a tail,

= 1/2 x 1/6

= 1/12

Therefore, the probability is 1/12.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Answer:

5x>-18+5

5x>-13

5x/5>-13/5

x>-2.6

9514 1404 393

Answer:

  A

Step-by-step explanation:

Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.

Answer:

In 5 years the account will be $ 21,549.68.

Step-by-step explanation:

Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:

16,000 x (1 + 0.06 / 4) ^ 5x4 = X

16,000 x 1,015 ^ 20 = X

16,000 x 1.34685500 = X

21,549.68 = X

Therefore, in 5 years the account will be $ 21,549.68.

Answer:

Step-by-step explanation:

A+?
P=$16,000
r=0.06
t=5

A=P(1+r/n)∧ nt

A=16,000(1+0.06/12)∧12⋅5

A=$21,581.60

Answer:

(0.782, 0.85)

Step-by-step explanation:

Here

The sample size =  500

Number of favourable cases = 408

Confidence interval = 95%

Proportion of sample = 408/500 = 0.816

Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96

Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)

Substituting the given values we get –  

0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)

(0.782, 0.85)

Answer:

x = 70

Step-by-step explanation:

The total interior angle in a square, even with not a perfect square, adds to 360

Set your formula up as

360 = (x+15) + x + 115 + 90

360 - 115 - 90 - 15 = 2x

140 = 2x

140/2 = x

70 = x

Step-by-step explanation:

g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55

Answer: A.

The correct answer is actually A.

Step-by-step explanation:

n ^2 - 14n + 43 / 7n - 49

Answer:21 then 34

Step-by-step explanation: its just correct lol

Second choice.

Which is 1591.1 cm^2.

Answer:

Step-by-step explanation:

x^3/x^5

=x^3-5

=x^-2

=1/x^2

Answer:

x ≈ 5.7

Step-by-step explanation:

Recall, SOH CAH TOA.

We are given:

Reference angle = 35°

Opposite side length to reference angle = 4

Adjacent side = x

To find x, apply the trigonometric equation, TOA, which is:

Tan 35° = Opp/Adj

Substitute

Tan 35° = 4/x

x*Tan 35° = 4

x = 4/Tan 35°

x ≈ 5.7

Answer:

7(2x+16)

Step-by-step explanation:

first, we look at the part where it says the sum of twice a number and 16

let's represent the number by using x. since it says twice a number, that would mean 2x.

when it says the sum of twice a number and 16, this means that we have to add them, so we would get 2x+16.

finally, in the beginning it says seven times the sum of twice a number and x, which would mean that we would have to multiple 2x+16 by 7.

answer:

7(2x+16)

Answer:

below

Step-by-step explanation:

(8! - 7!)

= 35280

that is the procedure above

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

5 + 7 = 12 total fruits, which means that [tex]N = 12[/tex]

7 apples, which means that [tex]k = 7[/tex]

You receive 2 fruits, which means that [tex]n = 2[/tex]

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182[/tex]

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

-160 is the answer

Step-by-step explanation:

- × - = +

+ × + = +

so,-32-128

=-160

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

Answer:  0.85 km

Step-by-step explanation:

Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.

Add.

0.6+0.25= 0.85 km

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

Given

See attachment for graph

Required

The rule of the graph

Pick any two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (1,4)[/tex]

Calculate slope (m)

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

[tex]m = \frac{4 - 0}{1 - 0}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m =4[/tex]

The graph equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 4(x - 0) + 0[/tex]

[tex]y = 4(x)[/tex]

[tex]y = 4x[/tex]

The above shows that the x values are multiplied by 4 to get y

Answer:

Step-by-step explanation:

because i don't know if the 2 is with the 4 or not I have calculated both.

x/4 + 2 = 15

<=> x/4 = 13

<=> x = 13.4 = 52

x/(4+2) = 15

<=> x/6 = 15

<=> x = 6.15 = 90

Answer:

52

Step-by-step explanation:

[tex]\frac{x}{4} + 2 = 15[/tex]

The first step is to shift all number values to the right. To do this, subtract 2 from the equation.

This will give

[tex] \frac{x}{4} = 13[/tex]

Now, multiply the equation by 4.

Hence,

[tex]x = 13 \times 4 = 52[/tex]

Answer:

x=KY

as x is directly proportional to y

Answer:

A. x = 2 and y =2

B. x = 3 and y = -1

Step-by-step explanation:

A. { x = 3y − 4

    2x − y = 2

1) Substitute the value of x

2(3y − 4) − y = 2

2) Solve the equation for y

y = 2

3) Substitute the value of y

x= 3(2) -4

4) Solve the equation for x

x = 2

Final Solution: x = 2 and y =2

B. { 3x + 2y = 7

     −x + y = −4

1) Multiply both sides of the equation by 3

-3x + 3y = -12

2) Eliminate one variable by adding the equations

  3x + 2y = 7

+ (−3x + 3y = −12)

   5y = -5

3) Divide both sides of the equation by 5

y = -1

4) Substitute the given value of y into the equation -x + y = -4

-x + (-1) = -4

5) Solve the equation for x

x = 3

Final Solution: x = 3 and y = -1

Answer:

27 cm²

Step-by-step explanation:

Formula of Area Triangle = 1/2(base x height)

Base = 6 cm

Height = 9 cm

1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27

Units = cm * cm = cm²

27 cm²

Why the formula (1/2 ( base x height )) works:

Take a triangle

Duplicate the triangle

And rotate the triangle and put it next to the other one

What shape does it form?

Either a parallelogram or a rectangle

The formula for a parallelogram or rectangle is (base x height)

Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.

So, do base x height

And divide by 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K