A rectangular prism is made up of 32 cubes, each measuring 1 4of a foot per side. What is the volume of the rectangular prism?

The probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 3/4.

The probability that the gambler has to play at least n rounds of the game before getting his first win is equal to 1 - (the probability of winning in the first n-1 rounds). To calculate the probability of winning in the first n-1 rounds, use the following formula:
P = (1/2)^(n-1)
Where P is the probability of winning in the first n-1 rounds.
For example, if the gambler has to play at least 3 rounds of the game, the probability of winning in the first 2 rounds is equal to (1/2)^(3-1) = (1/2)^2 = 1/4.

So, the probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 1 - (1/4) = 3/4.

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1  1 / 6  litres of water is needed to watering the entire garden at the given rate.

We need to find how many litres of water is needed to watering the entire garden at this rate.

Let the total garden be x  parts then,

Therefore,

2 / 7 x  = 1 / 3

cross multiply

2x × 3 = 7

6x = 7

divide both sides by 6

6x / 6 = 7 / 6

x = 1 1 / 6

Therefore, Thus,  1 1 / 6  litres of water is needed to watering the entire garden at the given rate.

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There are 6 family members over 3 years old.

Let's assume that the number of family members over 3 years old is "x".

The cost of admission for each family member over 3 years old is $3.25. Since the twins are 6 months old, they are not counted in the total cost of admission. Therefore, the total cost of admission for the family, including the twins, is $19.50.

The equation representing the total cost of admission can be set up as:

3.25x = 19.50

To find the value of "x," we can divide both sides of the equation by 3.25:

x = 19.50 / 3.25

x = 6

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Answer:

We cant see the graph stup!d

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

We can use the slope formula since we have two points

m = ( y2-y1)/(x2-x1)

   = ( -2- -2)/(3-14)

   = ( -2+2)/(3-14)

    = 0/-11

   = 0

Answer:

0 is the slope of the line that contains the points (14,-2) and (3,-2)

Step-by-step explanation:

To find , the slope is the slope of the line that contains the points (14 , -2)and (3, -2)

we using slope formula which is

Where,

m , is the slope

( y ² - y ¹ ) = ( 14 , - 2)

( x ² - x ¹) = (3, -2 )

Substitute the values into the formula

m = (( -2 )- ( -2 ) ) / (3 - 14 )

m= ( -2 + 2 ) / ( 11)

m = 0 / 11

m = 0

Therefore , 0 is the slope of the line that contains the points (14,-2) and (3,-2)

Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

Answer:

Step-by-step explanation:

5.1

Circle graph for Hernandez family budget has 3 categories, which make up more than half of budget are housing,savings, and food and housing, food, and transportation.

Circle graph is the way of representation of data, in which the chords of circle represents the difference values of data.

In the given problem, A circle graph is titled as Family Budget.

Here in the circle graph the housing is 23 percent, food is 21 percent, savings is 10 percent, transportation is 16 percent, medical is 12 percent, clothing is 13 percent, and emergency fund is 5 percent.

The 3 categories has to be find out which, make up more than half of the Hernandez family budget. This means the sum of 3 categories must be more than 50 percent of the family budget.

Lets check all the option given in the problem to find the required categories,

As the categories of option D and E make up more than half of the Hernandez family budget. Thus, The option D and E is the correct option.

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Answer:

  5x +14y = -21

Step-by-step explanation:

One way to write the equation of a line from two points is ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0

  5(x -7) +14(y +4) = 0

  5x +14y -35 +56 = 0

  5x +14y = -21 . . . standard form equation of the line

Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Answer: Can I see a better pic?

Step-by-step explanation:

Answer: D and C

Step-by-step explanation:

Answer:

∠RPQ = 105

∠R = 45

Step-by-step explanation:

Question 1

By intersecting chord theorem ? = (175 + 35) / 2

? = (175 + 35) / 2

? = 210 / 2

? = 105

(See image below)

Question 2

By intersecting secant theorem ∠R = (140 - 50)/2

∠R = (140 - 50)/2

∠R = 90/2

∠R = 45

(See image below)

Intersecting chord theorem : Corresponding angle equals sum of corresponding arcs divided by two

Intersecting secant theorem : The inscribed angle equals major arc minus minor arc divided by two

Mr. Steiner will need to pay $18774 in total and he paid $4774 more than the actual price of the car.

we know that the amount of money earned, in compound interest after t years is showed as, A(t) = P (1+\(\frac{r}{n}\))ⁿ\(^{t}\)

here, we know that A(t) is the amount of money after t years.

P is the initial sum of money, know as principal,

r is the interest rate as a decimal value,

n is the number of times that interest is compounded per year,

and

t is the time in years for which the money is invested or borrowed.

now here we know,

P = 14000, r = 0.049, n = 12, t = 6

when we have all values we can find,

A(t) = P(1+\(\frac{r}{n}\))ⁿ\(^{t}\)

A(6) = 14000 (1+\(\frac{0.049}{12}\))¹²ˣ⁶

A(6) = 18774

therefore we know that Mr. Steiner needs to pay $18774 in total.

now,

18774 - 14000 = 4774

therefore we get to know that Mr. Steiner paid $4774 more than the actual price of the car.

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Using simple interest, it is found that her interest charge this month will be of $30.

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I(t) = Prt

In which:

In this problem, considering the time in years, the parameters are:

\(P = 2000, r = 0.18, t = \frac{1}{12}\)

Hence:

\(I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30\)

Her interest charge this month will be of $30.

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The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.

In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.

To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.

According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:

DE = BC/2

In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.

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Answer:

Step-by-step explanation:

expressions dont have an equal sign but they have either a plus, minus, multiplying or dividing sign

Answer: the value of the sin is 35

Step-by-step explanation:

I did this before

Answer:

Yes, y=5x is proportional. Hope this helps!

The quadratic trinomial of the given expressions are z² + 4 + 4z, 16 + n² - 8n, m² + 100 + 20m respectively.

A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms.

A polynomial is an algebraic expression that has one or more terms and is written as \(a_0x^n + a_1x^{ n - 1} + a_2x^{n-2} + ...+ a_n x^0\) in the standard form. Where \(a_0, a_1, a_2, ....,a_n\) are constants and n is a natural number.

A quadratic trinomial is a type of algebraic expression with variables and constants. It is expressed in the form ax² + bx + c, where x is the variable and a, b and c are non-zero real numbers. A quadratic trinomial also describes the discriminant D where it defines the quantity of an expression and it is written as D = b² - 4ac.

Given:

(-z - 2)²

⇒ [-(z + 2)]²

⇒ (z)² + (2)² + 2(z)(2)

⇒ z² + 4 + 4z

(4 - n)²

⇒ (4)² + (n)² - 2(4)(n)

⇒ 16 + n² - 8n

(-m - 10)²

[-(m + 10)]²

⇒ (m)² + (10)² + 2(m)(10)

⇒ m² + 100 + 20m

So, the expressions are converted into quadratic trinomial.

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If triangle ADE is shifted to place vertex D on vertex B, the following observations can be made:

The resulting triangle will be congruent to triangle ABC.

To demonstrate the congruence, we need to prove that corresponding sides and angles of the triangles are equal. Let's analyze the sides and angles of both triangles.

Sides:

1. Side AB of triangle ABC coincides with side DB of triangle ADE.

2. Side AC of triangle ABC coincides with side DE of triangle ADE.

3. Side BC of triangle ABC coincides with side EA of triangle ADE.

Angles:

1. Angle A of triangle ABC coincides with angle D of triangle ADE.

2. Angle B of triangle ABC coincides with angle E of triangle ADE.

3. Angle C of triangle ABC coincides with angle A of triangle ADE.

Since all corresponding sides and angles are equal, we can conclude that triangle ABC is congruent to triangle ADE.

When triangle ADE is shifted to place vertex D on vertex B, we observe that the resulting triangle is congruent to triangle ABC. Congruent triangles have the same shape and size, and their corresponding sides and angles are equal.

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2

3

−

4

2

+

9

−

4

Step-by-step explanation:

Answer: -10 :))))

i hope this helps

Answer:

0.083333333

is the answer

Answer:

12

Step-by-step explanation:

The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.

    3. Determine the dot product of the corresponding row in matrix A          and the corresponding column in matrix B for each element in matrix C.

    4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.

     Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.

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