Coach Burns charted the change in his runners' 5K times from the first race of the year to the second race of the year.
Which student improved the most by decreasing the time needed to run the race?
Overall Change in 5K Times from the First to the Second Race
Runner
Time over (+) or under (-) previous run
Albert
-15.7 seconds
Cody
+1.4 seconds
Hannah
+4.5 seconds
Yasim
-37.4 seconds
Albert
Cody
Hannah
Yasim

Answer:

a=42°

Step-by-step explanation:

90-48=42

C+b=180

I'm going to have to think about c and b. It has been too long since I have done this. Sorry! Hope this helps get you started though!  

The wavelength of the n = 4 standing wave is 3.5cm.

Standing Waves:

A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression

y(x ,t)=2Asin(2πxλ)cos(ωt)

where A is the maximum displacement in the y-direction, λ

is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are

y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0

Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.

The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:

λ=4Ln=4(7 cm) / 2

= 14 /2

= 3.5cm.

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The number of possible ways to partition a set A with cardinality n into r subsets with varying cardinalities is given by n! / (n1! * n2! * ... * nr!).

Partitioning a set A into subsets of varying sizes involves calculating the number of possible ways to arrange the elements in the subsets. The formula n! / (n1! * n2! * ... * nr!) accounts for the total number of permutations while considering the specific sizes of each subset.

To understand why this formula works, let's break it down step by step.

Step 1: Counting permutations

The numerator n! represents the total number of permutations of the elements in set A. This is because when we partition a set, the order in which we choose the elements for each subset matters. So, we start with n choices for the first element, (n-1) choices for the second element, and so on, resulting in n! permutations.

Step 2: Accounting for subsets

However, in the numerator, we are overcounting because the order of elements within each subset doesn't matter. To correct for this, we divide by the factorials of the sizes of the subsets (n1!, n2!, ..., nr!). This ensures that each partition is counted only once, irrespective of the order in which the elements are chosen within each subset.

Step 3: Simplifying the formula

Dividing n! by the product of the factorials simplifies the formula, giving us the final result: n! / (n1! * n2! * ... * nr!).

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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A number line with a closed circle on 120, and a shading that goes to the right.

Here we know that the students need to collect at least, $150, to organize the science fair.

And we know that they already collected a total of $30, then they need to collect, at least: $150 - $30 = $120 more.

Then, to make the science fair they need to collect $120 (represented by the inequality x ≥ 120) or more. On a number line, this would be represented with a closed dot on $120 and a shading that goes to the right (representing the values larger than $120) then the correct option is the first one.

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According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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The scale provided is, 2.5 inches to represent 52 miles.

Therefore;

The rate of conversion is determined as 1 inch to represent 52 miles divided by 2.5 and that gives us 20.8 miles (for every inch on the map). Next, we simply multiply this rate by 5, when given a distance of 5 inches on the map

Answer:

yes

Step-by-step explanation:

Answer:

Yes...yes it is.

Step-by-step explanation:

Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.

Answer:

x=4

Step-by-step explanation:

Subtract 5x from both sides: -4x+20=4

Subtract 20 from both sides: -4x=-16

Divide -4 from both sides: x=4

Answer:

x = 4

Step-by-step explanation:

I will explain if you ask.

Answer:

C

Step-by-step explanation:

The solution set of the inequality expression is x ≥ 6

From the question, the statement is given as

Run at least 6 miles per hour

In inequalities, the term "at least" is represented by the greater than or equal to symbol

This means that

Speed ≥ 6 miles per hour

Remove the units

Speed ≥ 6

Represent the speed with x

So, the above inequality can be re-written as follows

x ≥ 6

There are constants to add or subtract in the expression

So, the inequality is left as it is

This gives

x ≥ 6

Hence, the solution to the expression is x ≥ 6

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Answer:

3

Step-by-step explanation:

\( - 6v < 3\)

when dividing by a negative number the sign is switched

\(v > - 0.5\)

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

-64

Step-by-step explanation:

16 x -4 would =-64 because if the negitive gose to the right it is going to be a negitive.

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Answer:

Your answer would be 3.075.

Step-by-step explanation:

15 - 6.8 = 8.2

8.2 - 5 1/8 = 3.075

--------------------------------

Hope this helps!

Have a great day and God bless! :)

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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Answer:

5,5 is the answer

Step-by-step explanation:

because I calculated and I want brainliest

Answer:

(5.5,5)

Step-by-step explanation:

(8+3)/2=x variable

=5.5

(2+8)/2=y variables

=5

finding the averages

(5.5,5)

Answer:

-3

Step-by-step explanation:

Slope formula

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You just multiple two of the equation will do

Answer:

\(x(7-4x)\)

Step-by-step explanation:

You can factor the expression \(7x - 4x^2\) by factoring out an x value.

You will get:

\(x(7-4x)\).

There is nothing else you can factor out of the equation.

Answer:

Step-by-step explanation:

The answer is 3

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

Answer:

18.445

Step-by-step explanation:

Multiply

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer

the money is 12.75.

38.25 ÷ 4.5 = 8.5

8.5 · 1.5 = 12.75

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is "The decimal could be five-tenths".

Step-by-step explanation:

Given value:

\(\to 67.5 \times 4. \_= \_ .50\)

Let the decimal value is: (2)

\(\to 67.5 \times 4. 2= 283 .50\)