Serena bought 5 shirts for $6 each and spent $7 on lunch. She paid for the shirts and lunch using her debit card. The change in the balance of Serena’s checking account can be represented by the expression shown.
5(-6) + (-7)

Which integer represents the change in the balance of Serena’s checking account from these purchases?

Let's call the speed of the wind as w, and the speed of the plane when its windless as p.

Since an airplane takes 4.5 hours to travel 913.5 miles while flying against the wind, to find its speed we just need to divide the distance travelled by the time

When the plane is flying against the wind, its speed is equal to the speed of the plane when its windless minus the speed of the wind.

Since we already know the speed of the plane on both situations, we can substitute those values on the expression above and solve for w.

The speed of the wind is 34 miles/h.

This is a condition known as ankylosis, and it describes a situation in which two bones lose their contact with each other.

Ankylosis can result from a variety of causes, including trauma, infection, or degenerative joint diseases. In cases of trauma, the articulating surfaces of the bones can be damaged, leading to a complete absence of contact between the two bones. Similarly, if an infection is present, the cartilage and ligaments of the joint can be destroyed, leading to ankylosis.

Finally, in cases of degenerative joint diseases, such as arthritis, the joint's articulating surfaces can be damaged, leading to a complete loss of contact between the two bones.

The symptoms of ankylosis vary depending on the severity of the condition. In mild cases, the patient may experience stiffness, pain, and reduced range of motion in the joint. In more severe cases, the joint may become completely immobile, and the patient may have difficulty walking or performing other activities.

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Answer:

The answer is C. 418cm2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the digital sum of the numbers in the bracket with the maximum number of elements is 17 and 18. Therefore, the correct answer is (4) 18.

To find the digital sum of the numbers in the bracket that has the maximum number of elements, let's examine the pattern in the given sequence.

The numbers in each bracket are formed by taking one digit from the tens place and the other digit from the units place. The first bracket has the number 10, the second bracket has the numbers 11 and 20, the third bracket has the numbers 12, 21, and 30, and so on.

We can observe that for each bracket, the tens digit starts at one less than the bracket number, and the units digit starts at the same number. For example, in the third bracket, the tens digit starts at 1 (one less than the bracket number 3) and the units digit starts at 2 (same as the bracket number 3).

Now, let's consider the bracket with the maximum number of elements, which is the last bracket, (89, 98), (99).

The digital sum of each number in this bracket can be calculated by adding the tens digit and the units digit. For the numbers 89 and 98, the digital sum is 8 + 9 = 17. For the number 99, the digital sum is 9 + 9 = 18.

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Answer:

Equation: y = 0.4x + 3.

Step-by-step explanation:

picture

Answer:

5+z7=12

Step-by-step explanation:

I think this is the answer idek if its an option but I hope u get it right:) Hope this helped

The quotient of 12 divided by y increased by 7 is equals to \(\frac{12}{y} +7\).

" Division is defined as the distribution of a number into equal parts as per the given condition."

According to the question,

Given number = 12

Divisor = y

Condition given = quotient of 12 divided by y increased by 7

As per the given condition the required quotient of given division ,

\(\frac{12}{y} +7\)

Hence, the quotient of 12 divided by y increased by 7 is equals to \(\frac{12}{y} +7\).

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Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

\(\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k\)

Step 2: Multiply the entire equation by n

\(\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)\)

Step 3: Divide the entire equation by 'e'

\(\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}\)

Answer:expotential

Step-by-step explanation: i took it

The stated margin of error account for this possible bias is random error.

The term margin of error is defied as a statistic expressing the amount of random sampling error in the results of a survey

Here we know that the bias due to nonresponse is not accounted for by the margin of error.

And the people who have longer travel times to work might have less time to respond to a survey.

And the calculated estimate from the sample to be less than the true mean travel time to work.

Where as the bias due to nonresponse is not accounted for by the margin of error.

Here we have also know that the the margin of error doesn't account for any mistakes that we've made.

So now we have to look at longer travel times might have less time to respond for a survey right.

Then we get that  it only accounts for random error.

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

Step-by-step explanation: To write the given function Z(t) = 18000(0.9)^(3t+2) in the form Z(t) = ab^t, we need to simplify the expression.

Let's break it down step by step:

Z(t) = 18000(0.9)^(3t+2)

First, we can rewrite 0.9 as a fraction: 0.9 = 9/10.

Z(t) = 18000(9/10)^(3t+2)

Next, we can simplify the expression inside the parentheses:

(9/10)^(3t+2) = [(9/10)^3]^t * (9/10)^2

Calculating the numerator and denominator of the first term separately:

[(9/10)^3] = (9^3)/(10^3) = 729/1000

Now, we substitute the simplified expression back into Z(t):

Z(t) = 18000 * (729/1000)^t * (9/10)^2

Simplifying further:

Z(t) = 18000 * (729/1000)^t * (81/100)

Finally, we can rewrite the expression as:

Z(t) = (18000 * 81/100) * [(729/1000) * (81/100)]^t

Letting a = 18000 * 81/100 and b = (729/1000) * (81/100), the equivalent function becomes:

Z(t) = ab^t

The value of the x in the given triangle is 7.5 units.

Proportion definition, comparative relation between things or magnitudes as to size, quantity, number.

Given is a triangle having sides, 12, 4 and 10 there is a missing side x we need to find is value,

Using the concept of parallel lines crest a proportion,

x / 10 = 12 / 16

x = 120 / 16

x = 7.5

Hence, the  value of the x in the given triangle is 7.5 units.

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Answer:

7. 45

8. 78

Step-by-step explanation:

Answer:

The difference is

.9

Answer:

2 meters

Step-by-step explanation:

V = l*w*h

324 = 18*9*h

324 = 162h

Divide each side by 162

324/162 = 162h/162

2 = h

Answer:

The only real difference between producing on Broadway or Off-Broadway is the cost. The professional union that represents the stage managers on Broadway is the International Alliance of Theatrical Stage Employees (IATSE).

Answer:

20x - 24

Step-by-step explanation:

-4(-5x + 6)

20x - 24

Answer:

There would be 1 tile in Figure 0.

Answer:

5

Step-by-step explanation:

8 = y + 3

5 + 3 = 8

Therefore y = 5

Answer:

y = 5

8=y+3

8-3=y+3-3

5=y

hope it's helpful ❤❤❤❤

THANK YOU.

The minimum sample size required to be 75% confident that the sample mean is within 20 units of the population mean is 24.

To determine the minimum sample size required for 75% confidence that the sample mean is within 20 units of the population mean, you will need to use the formula for sample size calculation in a normally distributed population:
n = (Z * σ / E)^2
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (75%)
σ = population standard deviation (327.8)
E = margin of error (20 units)
First, find the Z-score for a 75% confidence level. This value is 1.15 (you can find it in a Z-table or using statistical software).
Next, plug in the values into the formula:
n = (1.15 * 327.8 / 20)^2
n ≈ 23.27
Since the sample size should be a whole number, round up to the nearest whole number:
n = 24

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Answer:

Option C

Step-by-step explanation:

To test a graph whether it represents a function or relation we conduct a vertical line graph.

If the vertical line intersect the graph at two different points, graph represents a relation only.

By analyzing the given graph with the vertical line test,

Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),

Given graph represents a relation only.

Option C is the answer.

If Fidel has a rare coin worth $550 and its value increases by 10% each decade, we can calculate the value of the coin after a certain number of decades by applying the compound interest formula.

The compound interest formula is given by:

A = P(1 + r)^n

Where:

A is the final amount (value of the coin after n decades)

P is the initial amount (value of the coin)

r is the interest rate per period (in decimal form)

n is the number of periods (in this case, the number of decades)

In this case, the initial amount (P) is $550 and the interest rate per decade (r) is 10% or 0.1 (in decimal form).

Let's calculate the value of the coin after 1 decade:

A = 550(1 + 0.1)^1

A = 550(1.1)

A = $605

After 1 decade, the value of the coin would be $605.

Similarly, we can calculate the value of the coin after multiple decades. For example, after 2 decades:

A = 550(1 + 0.1)^2

A = 550(1.1^2)

A = $665.50

After 2 decades, the value of the coin would be $665.50.

You can continue this calculation for any number of decades to determine the value of the coin.

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The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

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Answer:

\(b=\frac{r}{9} +a\)

Step-by-step explanation:

To solve this problem, we have to isolate b. The steps are shown below:

Given - \(9(b-a)=r\)

Divide both sides by 9 - \(\frac{9(b-a)}{9}=\frac{r}{9}\)  → \((b-a)=\frac{r}{9}\)

Add a to both sides - \((b-a+a)=\frac{r}{9}+a\)  → \(b=\frac{r}{9} +a\)

So after doing these steps, we are left with our answer of  \(b=\frac{r}{9} +a\).

\(b=\dfrac{r}{9}+a\)

Main Concepts:

Concept 1. Solving for a variable

Concept 2. Undoing a multi-step equation

Concept 1. Solving for a variable

To solve any equation ever in mathematics, there are two main steps:

In this case, the variable already appears exactly once, so we can skip ahead to Step 2.

Concept 2. Undoing a multi-step equation

To "Isolate the variable", one must undo the things that are done to it.

To undo something, things must be undone in the reverse order in which they are done.

Looking at the equation, "b" appears on the left side of the equation.  Focusing on the left side, if everything were a number and we were trying to simplify it, Order of Operations would require us to take the "b" and do the following:

1. subtract  by "a" in the parentheses

2. then multiply by 9

To undo these things, we'll need to use the opposite operation of what would have been done in the first place.

To undo the steps above, we undo them in reverse order, so

1. Undo multiplication by 9

2. Then undo the subtraction by "a".

\(9(b-a)=r\)

To undo the multiplication, divide both sides by 9

\(\dfrac{9(b-a)}{9}=\dfrac{r}{9}\)

simplifying the left side gives

\(b-a=\dfrac{r}{9}\)

To undo the subtraction by "a", add "a" to both sides

\(b-a+a=\dfrac{r}{9}+a\)

simplifying the left side gives

\(b=\dfrac{r}{9}+a\)

As x increases, y decreases.

\(\\ \sf\longmapsto f(x)=x+3\)

\(\\ \sf\longmapsto f(-2)\)

\(\\ \sf\longmapsto -2+3\)

\(\\ \sf\longmapsto 1\)

f(-2) = -2 + 3

f(-2) = 3 - 2

f(-2) = 1

There are 90 ways that a coach can select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards.

To determine the number of ways to select a starting team, we first need to choose one center out of three centers, which can be done in 3 ways.

Then we need to choose two forwards out of five forwards, which can be done in 5C2 ways, where 5C2 represents the number of combinations of 2 items that can be chosen from a set of 5 items.

Finally, we need to choose two guards out of three guards, which can be done in 3C2 ways.

Using the multiplication principle, the total number of ways to select a starting team is:

3 x 5C2 x 3C2 = 3 x 10 x 3 = 90

Therefore, there are 90 ways.

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