Gabriele built a composite figure using 12 cubes for the bottom layer and 10 cubes for the top layer.she said that the volume of the composite figure was 12 times 10 or 120 cubic centimeters find and correct her error

The intersection of plane P and plane R is the line AB. Points A, B, and C are collinear. Plane R can be named as plane AB or plane BC. Points A, B, C, and D are coplanar. Point A lies on both plane P and plane R.

A. The intersection of plane P and plane R can be found by determining the common points that lie on both planes. In the given figure, we can see that the line AB lies on both planes P and R, so the intersection of plane P and plane R is the line AB.

B. Collinear points are the points that lie on the same straight line. In the given figure, the points A, B, and C are collinear as they all lie on the line AB.

C. Plane R can be named in two more ways as plane AB or plane BC, as it is the same plane defined by either line AB or line BC.

D. Coplanar points are the points that lie on the same plane. In the given figure, the points A, B, C, and D are coplanar as they all lie on plane R.

E. A point that lies on both plane P and plane R is the point A, as it lies on both the plane defined by line AB (plane R) and the plane perpendicular to line CD (plane P).

Answer:

(−6)²

Step-by-step explanation:

(−6)⋅(−6)

This means the numbers are being multiplied.

A number is being multiplied by the same number. You can write an exponent for the number of times it's being multiplied by itself.

Example:

x = x¹

x·x = x²

x·x·x = x³

You are multiplying (−6) twice.

(−6)⋅(−6) = (−6)²

Final answer:

To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. The product of (-6)⋅(-6) is 36.

Explanation:

To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. In this case, the base is -6, so the exponents are both 1.

The product can be written as (-6)^1⋅(-6)^1. Adding the exponents gives us (-6)^(1+1) = (-6)^2 = 36.

Therefore, the product of (-6)⋅(-6) is 36.

Merl has 12,000 yuan, which if you divide by 6.78, gets you 1769.9115, in money terms is $1,769.91. So he has 1,769.91 Canadian dollars.

Answer:

The Answer for this question is merely 30.7

Step-by-step explanation:

Final answer:

There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.

Explanation:

Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.

Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.

Therefore, there are 12 varieties of pizza available based on the given options.

The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:

[tex]\[ 2 \times 64 = 128 \][/tex]

Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.

To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:

1. The type of pizza crust (hand-tossed or pan).

2. The combination of toppings (from a set of six available toppings).

Step-by-Step Calculation

There are 2 types of crusts available:

- Hand-tossed

- Pan

This gives us 2 choices for the crust.

For each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.

Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):

[tex]\[2^{6} \text{ combinations of toppings}\][/tex]

Calculating this gives:

[tex]\[2^{6} = 64 \text{ combinations}\][/tex]

The total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.

[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]

Therefore, the number of possible outcomes in the sample space is:

[tex]\[\boxed{128}\][/tex]

The discriminant of a quadratic equation ax²+bx+c = 0 is found using the formula b² - 4ac. It helps determine the nature of the roots of the equation, with the sign of the discriminant indicating whether the roots are real or complex.

The discriminant of a quadratic equation, written in standard form as ax²+bx+c = 0, is found using the formula b² - 4ac. This value comes from the quadratic formula used to solve for the roots of the equation: -b ± √b² - 4ac divided by 2a. This discriminant can help determine the nature of the roots without solving the entire equation. If the discriminant is positive, the quadratic has two distinct real roots. If it is zero, there is one real root. If the discriminant is negative, there are two complex roots.

For example, consider the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4. Therefore, the discriminant is (-4)² - 4(1)(4) = 16 - 16 = 0. This means the equation has one real root.

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I think it's A - 76.7%. I can't be certain; but I hope this helps.

Answer:A) 76.7%

Step-by-step explanation:

In this question, we determine the total number of cars sold in a typical week at a dealership based on the given data.

Based on the given data:

Number of cars sold at the dealership in a typical week:

3 cars: 14

4 cars: 19

5 cars: 12

6 cars: 9

7 cars: 11

To find the total cars sold:

Add the number of cars sold in the respective categories: 14 + 19 + 12 + 9 + 11 = 65. Therefore, 65 cars are sold in a typical week at the dealership.

 The distributive property is a special way where multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as:

a(b + c) = ab + ac.

Does this help in any way?

We have been given the steps to solve the equation as

Step 1: 2x = 18

Step 2: x = 18 − 2

Step 3: x = 16

There is an error in step 2.

We have [tex]2x=18[/tex]

x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.

So we must divide both sides by 2.

Therefore, A is the correct option.

A) She did not divide 18 by 2.

Answer:

The translation is (x, y)--->(x - 1, y + 2).

Answer:

[tex]5^{15}[/tex]

Step-by-step explanation:

[tex]\frac{(5^3)^9}{5^12}\\\\\frac{5^{3*9}}{5^12}\\  \\\frac{5^27}{5^12}\\   \\ 5^{27-12}\\ \\ 5^{15}[/tex]

Answer:C

Step-by-step explanation: It is line plot. The key word is mode. You can identify the mode more easily from a line plot than a line graph.