find the product of the next two numbers in the sequence.

-27,-17,-13,-9, _ , _​

15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

To find the number of candy bars needed to bring the average cost down to $0.80, we can use the formula for average:

(sum of costs)/(number of candy bars).

Let's denote the number of candy bars needed as x. We know that the sum of costs for the group of ten candy bars is 10 * $0.89 = $8.90.

To bring the average down to $0.80, the sum of costs for the x candy bars must be (10 * $0.89 + x * $0.72).

Now we can set up the equation:

(10 * $0.89 + x * $0.72)/(10 + x) = $0.80.

Simplifying this equation, we get:

8.9 + 0.72x = 0.8(10 + x).

Solving for x, we find that x = 15.

Therefore, 15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

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complete question:

A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piece to bring the average down to $0.80?

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

T = temperature

-52 < T < 108

Temperatures fall between the values of -52 and 108.  D is the number line that shows this.

Answer:  The answer would be D. I hope this is helpful :))

In circuit training, exercises are usually set up so that the same muscle group is worked in back to back exercises is a "false" statement.

A circuit workout consists of six or more exercises that are alternated with brief rest intervals and performed for either a predetermined number of reps or a certain duration of time.

Some features of circuit training exercise are-

Benefits of doing circuit training exercise-

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The complete question is -

In circuit training, exercises are usually set up so that the same muscle group is worked in back to back exercises.(True/False)

The given segments from the vertices to the incenter of the triangle ΔAEC

are angle bisectors.

Reasons:

The incenter of a triangle is the point of concurrency of the angle

bisectors of the triangle.

Therefore;

The segment \(\mathbf{\overline {AG}}\) bisects the angle ∠CAE

Which gives;

∠BAG ≅ ∠GAF Definition of the bisection of ∠CAE

∴ ∠GAF = ∠BAG = 22°  by definition of congruency

∠GAF = 22°

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The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.

The  SLA Downtime refers to the time duration that a machine or service is unavailable.

The SLA Uptime is the amount of time a machine or service is available.

The cumulative downtime per year of an SLA percentage of 99.95 will give the following:

An SLA percentage of 99,95 gives 43 seconds daily downtime.

In a year, cumulative downtime = 43 seconds  * 365 = 15695 seconds

Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.

In conclusion, downtime refers to unavailability of a given machine or service.

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Hi

Answer:

The y-intercept of a linear function is the point where the line intersects the y-axis, that is, when x = 0. To find the y-intercept, we can plug in x = 0 into the equation of the line and solve for y.

Since the line goes through two points (-3,1) and (1,-3), we can find the equation of the line using point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line, m is the slope of the line, and (x, y) are the coordinates of any point on the line.

To find the slope, we can use the two points:

m = (y2 - y1) / (x2 - x1)

Plugging in the values for the two points, we have:

m = (-3 - 1) / (1 - (-3)) = -4 / 4 = -1

Now that we have the slope, we can use point-slope form and one of the points to find the equation of the line:

y - 1 = -1(x - (-3))

Expanding the right-hand side and simplifying, we have:

y - 1 = -x + 2

Adding x to both sides and adding 1 to both sides, we have:

y = -x + 3

Plugging in x = 0, we have:

y = -0 + 3 = 3

Therefore, the y-intercept of the line is (0, 3).

Whether the two ratios are 2: 3 and 2: 3 or a proportion

4: 6 and 12: 18

\($\frac{4}{6}$\)   and

\($\frac{12}{18}=\frac{2}{3}$\)   and

2/3

=2: 3 and 2: 3

Yes the given two ratios form a proportion.

The complete question is:

Check whether the given two ratios form a proportion or not: 4: 6  12: 18

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Answer: y=10x +6

Step-by-step explanation:

The slope is 10 and the line will cross the y-axis at 6.

For the given position vector of a particle, the results are-

(a)  T(t) = [4i + (10t)j] / [√(16+100t²)]

(b)  k(t) = (1/10) * √(16+100t²)

The position vector of a particle is given by

r(t) = 4ti + (5t²+10)j + 9k.

(a) To find the unit tangent vector T(t), we have to find the first derivative of r(t).

r(t) = 4ti + (5t²+10)j + 9k

First derivative,

r'(t) = 4i + (10t)j

Therefore, the magnitude of r'(t) is given by

|r'(t)| = √[(4)² + (10t)²]

The unit tangent vector is given by

T(t) = r'(t) / |r'(t)|

Thus,

T(t) = [4i + (10t)j] / [√(16+100t²)]

(b) To find the curvature, we first need to find the second derivative of r(t).

r(t) = 4ti + (5t²+10)j + 9k

The first derivative of r(t) is given by

r'(t) = 4i + (10t)j

The second derivative of r(t) is given by

r''(t) = 0i + 10j

Thus, the magnitude of r''(t) is given by

|r''(t)| = √(0² + 10²)

= 10

Therefore, the curvature k(t) is given by

k(t) = |r'(t)| / |r''(t)|

Thus, k(t) = {[√(16+100t²)] / 10}

The simplified expression of curvature k(t) is  

k(t) = (1/10) * √(16+100t²)

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Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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Answer:

Step-by-step explanation:

sin 44° = \(\frac{63}{ST}\)

ST = \(\frac{63}{sin44}\)

ST ≈ 90.7

Answer:

How

Step-by-step explanation:

Answer:

Option B and D

Step-by-step explanation:

2^5/6^5

2x2x2x2x2/6x6x6x6x6

1/3^5 [after canceling]

3^-5

Also

2^5x6^-5

Answer:

\(5^{11}/5^5\)

Step-by-step explanation:

\(5^{11}/5^5=5^6\)

\(5^6/5^1=5^5\)

\(5^1/5^{16}=5^{-15}\)

\(5^{11}/5^{-5}=5^{16}\)

Answer:

y = 36

Step-by-step explanation:

(9×y)×4 = 9× (y × 4)

36 × 4y = 9y × 36

36 × 36 = 4y × 9y

1296 = 36y

36 = y

Answer:

w ≤ 2200

Step-by-step explanation:

If a lift can lift a maximum weight of 2200pounds, this means that the lift can not life a weight greater than 2200pounds. For the expression needed, the inequality sign to use will be a less than or equal to sign( ≤ ).

Hence the requires inequality expression will be w ≤ 2200

The average change in weight calculated by the researcher for the sample of 25 freshmen is an example of a statistic.

A statistic is a numerical summary of a sample that is used to make inferences about a population. In this case, the sample is the 25 freshmen, and the population could be all freshmen entering college.

The average change in weight is a statistic because it summarizes the data collected from the sample, and is used to make conclusions about the population.

It represents the typical or average amount of weight gained or lost by the freshmen in the sample during their first semester in college.

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Answer:

The purpose of calculating the percent error is to analyse how close the measured value is to an actual value. It is part of a comprehensive error analysis. In most of the fields, percent error is always expressed as a positive number whereas in others, it is correct to have either a positive or negative value.

We calculate percentage inaccuracy so that you may know how far off you are from an item's actual worth while assessing its value.

The difference between a quantity's precise or known value and its approximative or measured value, expressed as a percentage, is called the percentage error. It is used to report the discrepancy between the experimental value and its real or exact value in scientific experiments. It's determined as a percentage of the precise value.

The following formula can be used to compute the percentage error:

[(Expected value- Actual value)/(Actual Value)]*100 is the formula for percentage error.

Where,

An expected value is a forecast for how a calculation or event will turn out.

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Answer:

3060

Step-by-step explanation:

Answer:

3,060

Step-by-step explanation:

9000 x 0.34 = 9000 x 34/100

9000 x 34/100 = 306000/100

306000/100 and 100/100 = 3060

To find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13. The minimum score required for admission is approximately 22.0.

To determine the minimum score required for admission, we need to consider that ACT composite scores are normally distributed with a mean (µ) of 21.3 and a standard deviation (σ) of 5.3. The university plans to admit students in the top 45%, which means that we need to find the cutoff score corresponding to the 55th percentile (since 100% - 45% = 55%).
Using a standard normal distribution table or a calculator with a built-in function, we can find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13.
Now, we'll use the z-score formula to find the minimum score required for admission:
X = µ + (z * σ)
Where X is the minimum score, µ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values:
X = 21.3 + (0.13 * 5.3)
X ≈ 21.3 + 0.689 = 21.989
Rounding the score to the nearest tenth, the minimum score required for admission is approximately 22.0.

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We cannot determine whether two events are independent or not based solely on the information that they are mutually exclusive and have non-zero probabilities.

No, we cannot conclude that events a and b are independent based on the given information.

Two events are considered independent if the occurrence of one event does not affect the probability of the other event occurring. Mathematically, for two independent events A and B:

P(A and B) = P(A) * P(B)

In this case, we only know that events a and b are mutually exclusive, which means that they cannot occur at the same time. Mathematically, for two mutually exclusive events A and B:

P(A and B) = 0

Therefore, we cannot use the definition of independence to prove or disprove independence between a and b.

For example, let's consider the following scenario:

Event a: rolling a 6 on a fair die

Event b: rolling an odd number on a fair die

P(a) = 1/6 and P(b) = 1/2, which are both greater than 0. However, events a and b are mutually exclusive since rolling a 6 (event a) means that we did not roll an odd number (event b). Therefore, we cannot conclude that events a and b are independent.

In conclusion, we cannot determine whether two events are independent or not based solely on the information that they are mutually exclusive and have non-zero probabilities. Additional information is needed to determine the independence of the events.

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The probability that the die is actually 6 given that the person reports it as 6 is 1/3.

To determine the probability that the die is actually 6 given that the person reports it as 6, we can use Bayes' theorem.

Let's define the events:

A: The die is actually 6.

B: The person reports that the die is 6.

We are interested in finding P(A|B), the probability that the die is actually 6 given that the person reports it as 6.

According to the problem, we know:

P(A) = 1/6 (since the die has six sides and only one side is 6)

P(B|A) = 1 (the person always tells the truth when the die is 6)

P(B|not A) = 2/5 (since the person tells the truth 3 out of 5 times)

Now, let's use Bayes' theorem to calculate P(A|B):

P(A|B) = (P(B|A) * P(A)) / [P(B|A) * P(A) + P(B|not A) * P(not A)]

P(A|B) = (1 * 1/6) / [(1 * 1/6) + (2/5 * 5/6)]

Simplifying the expression:

P(A|B) = (1/6) / [1/6 + 2/6]

P(A|B) = (1/6) / (3/6)

P(A|B) = 1/3

Therefore, the probability that the die is actually 6 given that the person reports it as 6 is 1/3.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

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The balance is growing at a rate of $525.00 per year after 2 years.

To calculate the growth rate of the balance, we can use the formula for compound interest: \(\(A = P \left(1 + \frac{r}{n}\right)^{nt}\)\), where \(\(A\)\) is the final balance, \(\(P\)\) is the initial principal, \(\(r\)\) is the interest rate (in decimal form), \(\(n\)\) is the number of times the interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the initial principal is $10,000, the interest rate is 5% (or 0.05 in decimal form), the interest is compounded semiannually (so \(\(n = 2\)\)), and the time period is 2 years. Plugging in these values into the formula, we have:

\(\(A = 10,000 \left(1 + \frac{0.05}{2}\right)^{2 \cdot 2}\)\)

Simplifying the expression, we get:

\(\(A = 10,000 \left(1 + 0.025\right)^4\)\)

\(\(A = 10,000 \cdot 1.025^4\)\)

Calculating this expression, we find:

\(\(A \approx 10,000 \cdot 1.1038\)\)

\(\(A \approx 11,038\)\)

The growth in the balance after 2 years is \(\(11,038 - 10,000 = 1,038\)\). Dividing this by 2 (since we want the growth rate per year), we get \(\(1,038/2 = 519\)\). Rounding to two decimal places, the balance is growing at a rate of $519.00 per year after 2 years.

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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(1.) antelope sprinted the farthest

(2.) cba doing this one lol

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16