Use vectors to decide whether the triangle with vertices p(1,-3,-2), q(2,0,-4), and r(6,-2,-5) is right-angled.

Answer:

x>125

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(Walk or Bike)=\(\frac{72}{466} +\frac{90}{466}\)

                        =\(\frac{81}{233}\)  = 0.347

Answer:

yes

Step-by-step explanation:

two feet is 24 inches plus 3 = 27 inches

The correct option or equation that applies to the given situation is 7*6 = (4*6) + (3*6).

According to the question,

We have the following information:

Akela drew smaller arrays to find the product of a larger array.

Now, we have two figures where one has 6*3 boxes (6 horizontal boxes and 3 horizontal boxes) and in the second figure we have 6*4 boxes (6 horizontal boxes and 4 vertical boxes).

Now, to find the correct option, we will look for these two in options:

So, the option that has both of them is  7*6 = (4*6) + (3*6).

Now, we can verify whether the sides of the equation given are correct or not.

We have:

7*6 = 42

On right hand side, we have:

(4*6) + (3*6)

24+18

42

Hence, the correct option is 4th one.

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Answer:

  6.3 inches

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of a right triangle.

__

The envelope can be modeled as a right triangle whose legs (a, b) are the width and length, and whose diagonal (c) is the hypotenuse. The Pythagorean theorem tells you ...

  a² +b² = c²

  a² +3² = 7²

  a² = 49 -9 = 40 . . . . . subtract 3²

  a = √40 = 2√10 ≈ 6.3

The length of the envelope is about 6.3 inches.

Answer:

6.

2

1

3

10.9 to 1 place

7

a.) 36

b.)3

c.)65

d.)13

Step-by-step explanation:

There are 5²⁵ possible ways to select 25 cans of soda from 5 types, while there are [5¹⁸] (25 choose 7) possible ways to select 25 cans with at least 7 Dr. Peppers, and only [3²²] (25 choose 3) possible ways to select 25 cans with only 3 Dr. Peppers available.

(a) Since there are five types of soda and we are selecting 25 cans, we can choose any type of soda for each can. Therefore, the number of ways to select 25 cans of soda is 5²⁵.

(b) If we must include at least seven Dr. Peppers, then we can choose the remaining 18 cans from any of the five types of soda (including Dr. Pepper). We can choose 7 Dr. Peppers in (25 choose 7) ways. Therefore, the number of ways to select 25 cans of soda with at least seven Dr. Peppers is (25 choose 7) [5¹⁸].

(c) If there are only three Dr. Peppers available, then we must choose all three Dr. Peppers and select the remaining 22 cans from the four types of soda (excluding Dr. Pepper). We can choose the remaining 22 cans in 4²² ways. Therefore, the number of ways to select 25 cans of soda with only three Dr. Peppers available is 3 [4²²].

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Complete question:

From an unlimited selection of five types of soda, one of which is Dr. Pepper, you are putting 25 cans on a table.

(a) Determine the number of ways you can select 25 cans of soda.

(b) Determine the number of ways you can select 25 cans of soda if you must include at least seven Dr. Peppers.

(c) Determine the number of ways you can select 25 cans of soda if it turns out there are only three Dr. Peppers available.

Answer:

B, F, G

Step-by-step explanation:

Answer:

B, F, G

Step-by-step explanation:

The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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Answer:

g(6) = 12

Step-by-step explanation:

g(x) = 1/2x + 9

To find g(6), replace x with 6 in the expression and evaluate it.

g(6) = 1/2 * 6 + 9

g(6) = 3 + 9

g(6) = 12

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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5* x * y simplified is 5xy

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

48 people

Step-by-step explanation:

The given ratio is 2:3

The total is 120

Let the common ratio be x

So it can be divided as 2x, 3x

Their sum is 2x+3x=120

5x=120

x= 24

24×2=48

24×3=72

⟹48, 72

Equivalent fractions for 2/3 are 20/30.

Equivalent fractions for 2/3 are:

4/6

6/9

8/12

10/15

12/18

14/21

16/24

18/27

20/30

To find equivalent fractions for 2/3, we need to multiply both the numerator and denominator by the same number. In this case, we can multiply the numerator and denominator by 2, 3, 4, 5, 6, 7, 8, 9, or 10. However, not all of these numbers will be used to generate equivalent fractions for 2/3. For example, if we multiply both the numerator and denominator by 2, we get 4/6, which is an equivalent fraction for 2/3. Similarly, if we multiply both the numerator and denominator by 3, we get 6/9, which is also an equivalent fraction for 2/3. We can continue this process to generate more equivalent fractions for 2/3.

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A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.

Inference: Inference uses selected samples from a population to estimate the properties of unknown people.

A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.

Therefore:

All the data collected in particular is referred to as Data Set.

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The error in the work shown is in the second step of the calculation. Let's break down the incorrect step and identify the mistake:

3vx(y^12)/4^3 = 3vx^3(y^12)/3v4^3

The error occurs when simplifying the expression under the square root. The expression (y^12) is incorrectly simplified to (y^3)^4.

The correct simplification should be:

3vx^3(y^12)/3v4^3 = 3vx^3(y^3)^4/3v4^3

The mistake is that (y^12) cannot be simplified to (y^3)^4. In this step, the exponent should be divided by 3, not raised to the power of 4.

The correct simplification should be:

3vx^3(y^12)/3v4^3 = 3vx^3(y^4)/3v4^3

Therefore, the final simplified expression should be xy^4/4, instead of xy^3/4.

Answer:

ddddddddddd

ddddddddStep-by-step explanation:

dddddddddd

Answer:

D

Step-by-step explanation:

For a mechanism with three vector loops, you would need a minimum of four coordinate frames.

In a mechanism, each vector loop represents a closed path formed by a series of links and joints. To describe the motion and relationships of these links, we use coordinate frames to define the orientation and position of each link in space.

A minimum of four coordinate frames is required because, in a three-loop mechanism, each loop introduces three independent position and orientation constraints. These constraints are related to the degrees of freedom of the mechanism. To uniquely describe the motion of the mechanism, we need to establish four coordinate frames.

Additionally, having more than four coordinate frames may be necessary depending on the complexity and requirements of the mechanism. It allows for better representation and analysis of the motion and forces within the mechanism.

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Answer:

Squares have to have the same shape and size to be congruent. Therefore, not all squares are congruent, since not all of them are the same size. … This means that they have the same shape, although not necessarily the same size.

hope this helps

mark me brainliest

Step-by-step explanation:

Answer:

x=48 degrees

Step-by-step explanation:

hope this helps :D

Answer:

x=162°

Step-by-step explanation:

interior angle of B= 180-75= 105°

interior angle of E=180-123=57°

105+57=162°

x=162°

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

you are right click on 32 °

If there were only twenty-two students instead of fifty-two who contributed their moms' heights and we wanted to use a one-sample confidence interval procedure (whether it would be z or t), we would have had to assume that the population of mom-heights was normally distributed.

The one-sample confidence interval is used to estimate the true population mean based on a sample mean and standard deviation. The procedure assumes that the sample is a random sample from a normally distributed population. With a sample size of at least 30, the central limit theorem allows for the use of a z-test to construct the confidence interval. With a smaller sample size, a t-test would be more appropriate. However, the assumption of normality still needs to hold for the validity of the confidence interval.

If the sample size is smaller than 30, the assumption of normality can be replaced by the assumption of approximately normal data. This means that the data follows a distribution that is symmetric and bell-shaped, even if it is not exactly normal.

However, the validity of the confidence interval can be compromised if the data is highly skewed or contains outliers. In such cases, it may be necessary to use non-parametric methods to construct a confidence interval.

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