A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest tenth of a meter per second.)

Answer:

the image up is your answer to the question.

Answer:

-2

Step-by-step explanation:

Value of the function at x = 4 is 12

Value of the function at x = 8 is 4

change in y is  4 - 12 = -8

change in x is 8 - 4 = 4

x = 4 to x = 8 is -8/4 = -2

Answer:

OD

hope this help thank me if did

Step-by-step explanation:

Answer:

  4 minutes

Step-by-step explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

The volume of a cylinder can be found using the formula ...

  V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

  V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

The time it takes to empty the tank is found by dividing the volume by the rate:

  (7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

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40% of 15 L = 6 L of acid

20% of 25 L = 5 L of acid

This means the mixture contains a total of 11 L of acid, and with a total volume of 15 L + 25 L = 40 L, that means the mixture is at a concentration of

(11 L acid) / (40 L solution) = 0.275 = 27.5%

As per the sampling, the resulting values of

(a) Single sample design

(b) two independent samples

(c) matched pairs

What is meant by sampling?

In math, sampling is the process of selecting the group that you will actually collect data from in your research.

Here we have find in Which design the following situations all require inference about a mean or means.

By looking into the given statement,  (a) You want to estimate the average age of your store’s customers.

Here this is a single sample design and the only sample we need here is the store’s customers.

Where as (b) You do an SRS survey of your customers every year. One of the questions on the survey asks about customer satisfaction on a seven-point scale with the response 1 indicating “very dissatisfied’’ and 7 indicating “very satisfied.’’ You want to see if the mean customer satisfaction has improved from last year.

In this is the two independent samples design. Because in this case we compare the customer satisfaction of two groups of customers. And the first group is the customers from last year and the other is the group from this year.

Finally, (c) You ask an SRS of customers their opinions on each of two new floor plans for your store.

Here we have a matched-pair design in this case because one group of people gave opinions on two new floor plans.

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Answer:

y=2

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

because you subtracted 4 from each side and are left with y=2

"s" can be concluded from the premises

To use the rules of inference to show that "s" is a conclusion, we can use modus ponens,

This is a rule that allows us to infer a conclusion from a premise and its conditional statement.

Thus, "s" can be concluded from the premises "p → q", "q → r", "(q → r) → s", and "p".

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Step-by-step explanation:

interquartile range = 5

.

The mean absolute deviation = 3.6

.

hope this gonna help !

Answer:

range = 15

IQR= 5

mean absolute deviation  = 3.6

1st quartile = 10

median= 12.5

3rd quartile = 15

Answer: bottom right

Answer:

Yes

Step-by-step explanation:

Because it has 4 sides and 4 x 2 = 8

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer: 9 + x

The word "sum" indicated that we are adding the two numbers, so we put the number and the variable in an expression that adds them together. There is no indication that there is anything else we need to add to this expression, so this is all you need. (The "x" is a variable, which can represent any number.)

The algebraic expression for the word expression is the sum of 9 and a number x will be 9 + x.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

As per the given phrase,

The sum of 9 and the number x.

The sum is an addition and represents by the symbol "+".

Therefore, 9 + x

Hence "The algebraic expression for the word expression is the sum of 9 and a number x will be 9 + x".

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The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

The sum of the first 4 terms of the binomial expansion of (0.9 + 0.081)³ is approximately 0.9441.

The binomial expansion formula is given by:

\((a + b)^n = nC_0 \times a^n \times b^0 + nC_1 \times a^{(n-1)} \times b^1 + nC_2 \times a^{(n-2)} \times b^2 + ... + nC_n \times a^0 \times b^n\)

where nCk is the binomial coefficient, which is equal to n! / (k! * (n-k)!) for k = 0, 1, 2, ..., n.

Here, we have a = 0.9 and b = 0.081, and we want to find the sum of the first 4 terms, which means we need to find:

(0.9 + 0.081)⁰ + (0.9 + 0.081)¹ + (0.9 + 0.081)² + (0.9 + 0.081)³

Using the binomial expansion formula with n = 3, we get:

(0.9 + 0.081)³ = 3C0 x 0.9³ x 0.081^0 + 3C1 x 0.9² x 0.081¹ + 3C2 x 0.9¹ x 0.081² + 3C3 x 0.9⁰ x 0.081³

Simplifying each term, we get:

1 x 0.729 x 1 + 3 x 0.81 x 0.081 + 3 x 0.9 x 0.006561 + 1 x 0.000531441

= 0.729 + 0.19683 + 0.0177117 + 0.000531441

= 0.944076141

Therefore, the sum of the first 4 terms of the binomial expansion of (0.9 + 0.081)³ is approximately 0.9441 (rounded to 4 decimal places).

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Answer:

3 students

Step-by-step explanation:

12 - (7 + 2) = 3 students

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:

p = 400/500 = 0.8.

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It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Answer:

5x+x and x+x+4x

Step-by-step explanation:

5x+x is basically 5x+1x which is 6x since x has an "invisible one" in front of it.

x+x+4x is 2x+4x which is 6x

hope this helps. :)

Answer:

4 and 5

Step-by-step explanation:

9x - 3 is 6x

5x + x can be 6x because there's is a x next to it that means it can be any number so if the number is suppose to become 6x we need to add 1 to both sides, and the a swer will be 6x.

sorry of wrong.

Answer: 8lbs

Step-by-step explanation:

The baby gained one pound

Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.

Assuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.

Given information:

Weight at birth (0 weeks): 7 lbs

Weight after 20 weeks: 12 lbs

We can calculate the rate of change (slope) of the baby's weight per week:

Slope = (Change in weight) / (Change in weeks)

Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)

Slope = 5 lbs / 20 weeks

Slope = 0.25 lbs/week

Now, using the slope, we can estimate the baby's weight after 4 weeks:

Estimated weight change = Slope * Number of weeks

Estimated weight change = 0.25 lbs/week * 4 weeks

Estimated weight change = 1 lb

So, the baby's weight after 4 weeks would be the initial weight (7 lbs) plus the estimated weight change (1 lb):

Estimated weight after 4 weeks = Initial weight + Estimated weight change

Estimated weight after 4 weeks = 7 lbs + 1 lb

Estimated weight after 4 weeks = 8 lbs

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With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

3/5

Step-by-step explanation:

Self explanatory.

Answer:

3/5

Step-by-step explanation:

para cosas tan simples solo resta 2 -5 y te da tres lo que significa que es 3/5

The value of a in y³ - 5y² + 72y - 68 = 0 is -5

A quadratic equation is in the form:

ax² + bx + c = 0

where a, b, c are constants integers.

Given the roots of the equation as 1 and 2 - 8i, hence the third root is 2 + 8i. Complex roots are in conjugate pairs, hence:

y = 1 or y = 2 - 8i or y = 2 + 8i

(y - 1) = 0; y - 2 + 8i = 0 and y - 2 - 8i = 0

(y - 1)(y - 2 + 8i)(y - 2-8i) = 0

y³ - 5y² + 72y - 68 = 0

The value of a in y³ - 5y² + 72y - 68 = 0 is -5

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Answer:

Step-by-step explanation:

Similar triangles given:

The ratio of corresponding sides:

Answer:

Below

Step-by-step explanation:

Slope =m = rise/run = -100/5 = -20    (using the two endpoints of the graph)

y axis  intercept = b = 100   ( by looking at the graph)

Slope intercept form is then y = mx + b :

  y = -20x + 100      where y = 5batt remaining and x = hours

The slope is the RATE of discharge of the battery %/hr

  the battery loses 20 % of its charge per hour