For #5 - 6, ū=(-2,7) and w = (4.-6). 5.) Sketch ū + w on the provided coordinate plane. Draw the resultant. (4 points) 6.) Algebraically find ū + w. (3 points) 30 بی) = ت + ia 10 For #7 -8, u"

Answer:

103%

Step-by-step explanation:

each little box is 1%

X=44/7

Step-by-step explanation:

4x-8+3x=36

7x-8=36

7x=36+8

7x=44

X=44/7

Therefore, the graph with 11 vertices and 17 edges is the graph with the maximal number of vertices that satisfies the given conditions.

Let's denote the number of vertices in the graph as V. Since each vertex has a degree of at least 3, the sum of the degrees of all vertices must be at least 3V. But since each edge contributes to the degree of two vertices, the sum of the degrees of all vertices is also equal to 2E (where E is the number of edges in the graph). Therefore, we have:

3V ≤ 2E

3V ≤ 2(17)

3V ≤ 34

V ≤ 11.33

Since V is an integer, the largest possible value of V is 11. Therefore, the graph with 11 vertices and 17 edges is an example of a graph that satisfies the given conditions.

To show that there is no graph with a larger number of vertices that satisfies the given conditions, we can use the Handshaking Lemma, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges. If we assume that there is a graph with more than 11 vertices and 17 edges, then at least one vertex must have a degree greater than 3 (since the sum of the degrees is equal to 2E). But if a vertex has a degree greater than 3, then there must be at least one vertex with degree less than 3 (since the sum of the degrees is equal to 2E). This contradicts the given condition that each vertex has a degree of at least 3. Therefore, there is no graph with a larger number of vertices that satisfies the given conditions.

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The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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Answer:

1.3

Step-by-step explanation:

just subtract it

Answer:

-7/10 is correct answer hope it helps

Answer:

D. The slope of AC = The slope of DF

Step-by-step explanation:

Given

Parallel lines AC and DF

Required

What is the missing statement for step 6?

The question seem incomplete; however one can deduce from the list of options that the requirement of the question is to state the condition for parallel lines;

Let \(m_1\) and \(m_2\) represent the slope of AC and DF resoectively

The condition for parallel line is such that

\(m_1 = m_2\)

This implies that

the slope of AC = the slope of DF

From the list of given options, option D correctly answers the question

Based on the relationship between slopes and parallel lines, we can deduce that the missing statement is given by: the slope of AC = The slope of DF.

Mathematically, the slope of a line is calculated by using the following formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

Based on the above conditions, we can deduce that the missing statement is given by:

The slope of AC = The slope of DF.

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Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

If sample evidence is inconsistent with the null hypothesis, we reject the null hypothesis.

Rejecting the null hypothesis means that we have found significant evidence that the observed data is unlikely to have occurred by chance alone, assuming the null hypothesis is true. It suggests that there is a significant difference or relationship present in the population being studied. This decision is based on the principles of hypothesis testing and statistical inference, where we set a significance level and compare the observed data to the expected outcomes under the null hypothesis.

If the evidence contradicts the null hypothesis beyond a reasonable doubt, we reject it in favor of an alternative hypothesis.

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Based on the information in the image, it can be inferred that this figure is a trapezoid.

A trapezoid is a term to refer to a type of geometric figure that is characterized by having four sides and that none of them are parallel.

According to the above, we can infer that the figure in the image corresponds to a trapezoid because it is a quadrilateral because it has four sides and only three of its sides are parallel. As we can see the upper side is not parallel to the base.

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To find the solution of the initial value problem 2ty' = 6y with the initial condition w(-2) = -8, we can use the method of separation of variables and apply the given formula for y = Ct^r.

a) First, we rewrite the differential equation in a suitable form:2ty' = 6y. Dividing both sides by 2t: y' = 3y/t
Next, we separate the variables and integrate:
(1/y) dy = (3/t) dt
Integrating both sides:
ln|y| = 3ln|t| + C1

Using the property of logarithms, we can simplify:
ln|y| = ln|t^3| + C1
Applying the exponential function to both sides:
|y| = |t^3|e^(C1)
Taking the positive and negative cases:
y = ± t^3e^(C1)

Since we are given the initial condition w(-2) = -8, we can substitute t = -2 and y = -8 into the equation:
-8 = ± (-2)^3e^(C1)
Simplifying:
-8 = ± (-8)e^(C1)
From this equation, we can see that if y = Ct^r is a solution, then the constant C must be -8 and the exponent r must be 1.

b) To determine the largest interval of the form a < t < b on which the solution y = Ct^r is valid, we need to check for any potential singularities or discontinuities. In this case, the given differential equation is defined for all nonzero values of t, and there are no other restrictions or singularities in the equation. Therefore, the largest interval would be (-∞, ∞) or any subset of it. The solution y = Ct^r is valid for all values of t within this interval.

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Answer: The probability is 0.036

Step-by-step explanation:

We have a total of 10 sports drinks.

4 lemon-lime

3 orange

3 fruit-punch.

in the first draw, we pick a lemon-lime drink.

The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.

Then we return it and we mix the drinks.

In the second time, we draw a fruit-punch one, so now the probability is:

p2 = 3/10

We return the drink.

For the third time we again pick a fruit-punch.

Again, we have p3 = 3/10.

Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:

P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036

Answer:

(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of B

To find the value of B we use cosine

That's

cos∅ = adjacent / hypotenuse

From the question

adjacent = 4

hypotenuse = 5

We have

\( \cos(B) = \frac{4}{5} \\ B = { \cos }^{ - 1} ( \frac{4}{5}) \\ = 36.869897645...\)

We have the final answer as

Hope this helps you

The expression, (5 > 57 % 8), evaluates to false.

To determine if the expression (5 > 57 % 8) evaluates to true or false, we need to first calculate the value of 57 % 8.

Step 1: Calculate 57 % 8, which represents the remainder when 57 is divided by 8.
57 % 8 = 1

Step 2: Compare 5 and the result from Step 1 using the '>' operator.
5 > 1

Step 3: Determine if the comparison in Step 2 is true or false.
Since 5 is greater than 1, the expression evaluates to true.

So, the expression (5 > 57 % 8) evaluates to true.

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Answer:

\(r = 9\)

Step-by-step explanation:

\((6r + 4) = (7r - 5) \\ 7r - 6r = 4 + 5 \\ r = 9\)

For a crosstabs analysis with a row variable of 4 groups and a column variable of 13 groups, the degrees of freedom for this test would be 36.

To determine the degrees of freedom for a crosstabs analysis, we need to consider the number of groups for each variable. The degrees of freedom in this context represent the number of independent pieces of information available for analysis.

In a crosstabs analysis, we create a contingency table that displays the frequency or count of observations falling into each combination of categories for the row and column variables. The table is typically organized in a grid format.

The degrees of freedom for a crosstabs analysis are calculated using the formula:

(df_row - 1) * (df_column - 1)

where df_row represents the degrees of freedom for the row variable and df_column represents the degrees of freedom for the column variable.

In this scenario, the row variable has 4 groups, so df_row = 4 - 1 = 3. Similarly, the column variable has 13 groups, so df_column = 13 - 1 = 12.

Plugging these values into the formula, we get:

(3) * (12) = 36

Therefore, for the given crosstabs analysis with a row variable of 4 groups and a column variable of 13 groups, there are 36 degrees of freedom available for this test. These degrees of freedom allow for the assessment of the relationship between the two variables and the evaluation of statistical significance.

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Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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Answer:

n = -35

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

n/-5 = 7

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 7 does indeed equal 7.

∴ n = -35 is a solution to the equation.

Answer: z =  144 . so therefore , z + 45 = 189

Step-by-step explanation: good luck . <3

The number of tours conducted throughout the day are 8.

Now, we know that the tours last for 50 minutes, and begin at 9:15, and there is a ten-minute gap between the tours.

First tour: 9:15 - 10:05

Second tour: 10:15 - 11:05

Third tour: 11:15 - 12:05

Fourth tour: 12:15 - 1:05

1 to 1:30 there are no tours.

Fifth tour: 1:30 - 2:20

Sixth tour: 2:30 - 3:20

Seventh tour: 3:30 - 4:20

Eighth tour: 4:30 - 5:20

The tours finish at 5:15 pm.

Therefore, there are 8 tours conducted per day.

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Rounding to the nearest hundredth, the area of the sector is approximately 152.30 cm².

To find the area of a sector, you can use the formula:

\(Area = (\theta /360) \times \pi \times r^2\)

where θ is the central angle and r is the radius.

Plugging in the given values:

θ = 144°

r = 11 cm

π = 3.14

\(Area = (144/360) \times 3.14 \times 11^2\)

Simplifying:

\(Area = (0.4) \times 3.14 \times 121\)

\(Area = 48.4 \times 3.14\)

\(Area = 152.296 cm^2.\)

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Answer:

its 918 people

Step-by-step explanation:

Answer:

its 918 people

Step-by-step explanation:

Answer:

It would cost $112 for 56 pounds of tomatoes.

Step-by-step explanation:

$2 x 56 = $112

Answer:

$112

Step-by-step explanation:

2 times 56 split the 50 and the 6 so then its 2 times 50 plus 2 times 6. 2 times 50 = 100 and 2 times 6 = 12. 100 plus 12 = 112

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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Answer:

3y

Step-by-step explanation:

All three expressions have the factor 3, and all three have the factor y.  Thus, the GCF is 3y.

The answer of this given question is ||u + v||^2 = ||u||^2 + ||v||^2.

Here are the steps involved in verifying the Pythagorean Theorem for the vectors u and v:

STEP 1: Compute u·v = (3, -1, -3) · (-1, -3, 0) = 3 · (-1) + (-1) · (-3) + (-3) · 0 = -3 + 3 + 0 = 0.                                                                           Since the dot product of u and v is zero, they are orthogonal.                                                                                                                STEP 2: Compute ||u||^2 and ||v||^2: ||u||^2 = 3^2 + (-1)^2 + (-3)^2 = 9 + 1 + 9 = 19||v||^2 = (-1)^2 + (-3)^2 + 0^2 = 1 + 9 + 0 = 10       STEP 3: Compute u + v and ||u + v||^2: u + v = (3, -1, -3) + (-1, -3, 0) = (2, -4, -3)||u + v||^2 = 2^2 + (-4)^2 + (-3)^2 = 4 + 16 + 9 = 29.                                                                                                                                                                                                               Now, we can verify the Pythagorean Theorem:  ||u + v||^2 = ||u||^2 + ||v||^2⇒ 29 = 19 + 10. This equation is true, so we have verified the Pythagorean Theorem for the vectors u and v. Therefore, the answer is:||u + v||^2 = ||u||^2 + ||v||^2.

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Answer:

You can solve this question by equating the two linear systems (by "substitution" or "elimination")

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer:

1/3 kg/m3

Step-by-step explanation:

density= mass/volume

mass=40 kg

volume=5m×8m×3m=120m³

density=40kg/120m³=1/3 kg/m³

Answer:

1/3 kg per cubic m or 0.33kg per cubic m

Step-by-step explanation:

density = mass

                volume

=     40kg          =     40kg

5m x 8m x 3m  =    120cubic metres

= 1/3 kg per cubic m or 0.33 kg per cubic m

Add all the numbers together to find your answer.

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