BAKAN bite (b) Multiply each term number below by 5 to form a sequence. Term number Term value (c) What is similar about the two sequences you have formed? 1 2 3 4 5 6 7 8 ​

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

1. For the relation R consisting of all pairs (x, y) such that x < y^2, R is transitive but not reflexive or symmetric.

2. For the relation R consisting of all pairs (x, y) such that x * y >= 0, R is reflexive, symmetric, and transitive.

Let's analyze each statement one by one:

1. For the relation R consisting of all pairs (x, y) such that x < y^2:

  - R is not reflexive because for any integer x, we cannot have (x, x) in R since x < x^2 is not true.

  - R is not symmetric because if (x, y) is in R, it does not necessarily mean that (y, x) is also in R. For example, (2, 3) is in R, but (3, 2) is not.

  - R is transitive because if (x, y) and (y, z) are in R, then it implies that x < y^2 and y < z^2. Therefore, x < y^2 < z^2, which means (x, z) is also in R. Thus, R is transitive.

Therefore, the correct statement for R is that it is transitive.

2. For the relation R consisting of all pairs (x, y) such that x * y >= 0:

  - R is reflexive because for any integer x, x * x = x^2, and since x^2 >= 0, (x, x) is in R.

  - R is symmetric because for any pair (x, y) in R, x * y >= 0 implies that y * x >= 0. Therefore, (y, x) is also in R.

  - R is transitive because for any three integers x, y, and z, if (x, y) and (y, z) are in R, it means that x * y >= 0 and y * z >= 0. Since the product of two non-negative numbers is also non-negative, x * z >= 0. Hence, (x, z) is in R.

Therefore, all statements (reflexive, symmetric, and transitive) are correct for R.

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The image is reflected completely opposite to the given figure in the graph is having the following points (2,2), (4,4) and (9,0).

The points which are having the given triangle are,

To reflect the given figure completely to the opposite side of the given line, we have to invert the above given points. Simple it is meaning to flip the triangle without disturbing on point.

The points which are having the flipped triangle figure are,

From the above analysis, the flipped triangle which is the triangle reflected across the line is constructed.

The reflected triangle's diagram is attached below,

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The given question is missing graphs, I am attaching them below:

The linear equation of Johnny's charges is C(x) = 10 + 7.5x

From the question, we have the following parameters that can be used in our computation:

Initial charge = $10

Hourly rate = $7.50

Let the number of hours be x and the total cost be C(x)

So, we have the following representation

C(x) = Initial charge + Hourly rate * x

Substitute the known values in the above equation, so, we have the following representation

C(x) = 10 + 7.5x

Hence, the function is C(x) = 10 + 7.5x

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Complete question

Johnny charges $10 plus $7.50 per hour to mow lawns.

Determine the linear equation

Answer:

296 miles

Step-by-step explanation:

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

   (3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

          x = (8/3) (111)

          x = 296 miles

Managers should utilize Graph 3 to stress that the defect rate has remained largely stable over the course of the year.

In graph 1, the timeline is typically placed on the horizontal axis for simplicity, and the amount to be measured is typically placed on the y-axis. The time is on the vertical axis (x-axis) in graph 1, making it a poor choice for the management. The vertical axis of time is used again in graph 2 in the same way. So using graph 2 is not a good idea.

The number of flaws in Graph 3 may be best highlighted by placing time on the horizontal axis and the quantity to be displayed on the vertical axis. Second, because the vertical axis range is less, it is simpler to see the data set on the graph rather clearly. The optimum choice is therefore graph 3.

Graph 4's vertical axis range is fairly large, which causes the dispersion or display of the data to be quite compressed and difficult to visualize. Graph 4's vertical and horizontal axes are situated correctly.

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Answer:

\(y = 48000 - 2200x\) --- equation

\(y = 37000\) --- value at 5th year

Step-by-step explanation:

Given

\(Value = \$48000\)

\(Rate = \$2200\) decrease

Required

Determine the linear equation

Determine the value at the 5th year

Represent years with x.

If the rate in 1 year is 2200,

in x years, it'll be 2200x (decrement)

So, the value (y) at x years is.

\(y = 48000 - 2200x\)

The value at the 5th year is when x = 5.

So, we have:

\(y = 48000 - 2200 * 5\)

\(y = 48000 - 11000\)

\(y = 37000\)

Answer:

Step-by-step explanation:

L=−25t+200

The expression to represents the given situation will be;

⇒ L = $25t + $50

Where, L represent the total amount borrowed by Nevaeh.

And, t is represent the number of weeks.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Neveah borrowed money from her friend and agreed to pay $25 per week.

After 6 weeks, Nevaeh still owed her friend $50.

Now,

Let L represent the total money borrowed by Nevaeh.

And, t is the number of weeks for pay $25 per weeks.

Then, We can formulate;

⇒ L = $25t + $50

Therefore, The expression to represents the given situation will be;

⇒ L = $25t + $50

Where, L represent the total amount borrowed by Nevaeh.

And, t is represent the number of weeks.

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Answer:

-5

Step-by-step explanation:

Using sampling concepts, it is found that stratified sampling is used.

Samples may be classified as:

In this problem, the population is divided into groups according to their ages, then equal proportions of each group are taken, hence stratified sampling is used.

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Answer:

Cups of red paint for a batch of dark pink - 2.5

Number of gallons of red paint that she starts with - 1

Cups of red paint for a batch of light pink - i did not get that one

Step-by-step explanation:

For any data set P 50 = Q2 = D5 - This statement is correct. P50 represents the 50th percentile of the data set, Q2 represents the second quartile, and D5 represents the 5th decile. All of these values are the same, and they all represent the median of the data set.

The correct answer is B. Only (ii) For any data set P 50 = Q2 = D5 .

(i) For any data set D5 is same as mean - This statement is incorrect. D5 represents the 5th decile of the data set, while the mean is the average of all the data points. These two values are not always the same.

(iii) For any data set z-score must be always positive - This statement is incorrect. The z-score can be positive, negative, or zero, depending on the value of the data point relative to the mean of the data set.

Therefore, the correct answer is B. Only (ii).

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Answer:

a = 21, b = 70, c = 89

Step-by-step explanation:

opposite angles of intersecting lines are the same, 21 = 21

adjacent angles of intersecting lines add up to 180, 180 - 110 = 70

angles of a triangle add up to 180, 180 - 70 - 21 = 89

Answer:

a = 21, b = 70, c = 89

Step-by-step explanation:

Answer:

BOC, since angle B and angle C are bisected, sum of angle OBC and OCB will be half of sum of angles B and C which is 108 degrees.

Most of the kinetic energy of the water is transferred into the water, then the thermal energy will increase. Hence, option C is correct.

Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.

The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.

As per the given information in the question,

When the kinetic energy of the diver is transferred into the water, the thermal energy will increase.

The entity's thermal energy grows as the average kinetic energies of its particles rise. As a result, an object's thermal energy rises as its temperature does.

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Answer:

Sample Response: No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.

Step-by-step explanation:

edge2020

Answer:

No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.

Answer:

y = -8x + 3

Step-by-step explanation:

We are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

Parallel lines have the same slopes.

Therefore, we can start by finding the slope of y = -8x - 2.

It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.

We can plug in -8 for m in y=mx+b.

y = -8x + b

Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.

Substitute -0.5 as x and 7 as y.

7 = -8(-0.5) + b

Multiply

7 = 4 + b

Subtract 4 from both sides

3 = b

Substitute 3 as b in the equation.

y = -8x + 3

Topic: parallel and perpendicular lines

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Answer:

1/27

plz mark brainest

Step-by-step explanation:

Answer:

1/27

Step-by-step explanation:

1/3 ^3 is 1.27

You take 1 ^3= 1

And 3^3 = 27

and make it 1/27

The linear regression equation that represents this set of data is given as follows:

y = 26.57x + 94.9.

Using this equation, the estimate of the calendar year in which the profits would reach 244,000 is of:

2000.

The linear regression equation is obtained inserting the points of the data-set into a linear regression calculator.

From the image given at the end of the answer, these points are given as follows:

(0, 91), (1, 134), (2, 125), (3, 201), (4, 187), (5, 230).

Inserting these points into a calculator, the equation is given as follows:

y = 26.57x + 94.9.

The estimate of the calendar year in which the profits would reach 244,000 is of x + 1995, when y = 244, hence:

244 = 26.57x + 94.9

x = (244 - 94.9)/26.57

x = 5.61.

Hence the profits would reach 244 thousand dollars during the calendar year of 2000.

The table is given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation:

Answer:

k = 10.5

Step-by-step explanation:

k/7 = 4.5/3

3k = 31.5

k = 10.5

Answer:

75/7

Step-by-step explanation:

5/7 x 15

5/7 x 15/1

5 x 15 / 7 * 1

75/7

Hopefully this helps!

Brainliest please?

The simplified form of the expression is 75/7.

A fraction describes a part of a whole.

Given an expression 15x5/7

Solving the expression we get,

15x5/7

= 75/7

Hence, the expression 15x5/7 = 75/7

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The fourth-order resolution of a grating 6.00 cm long with a line spacing of 3,636 nm is 1.32×106.

The resolution of a grating refers to its ability to separate closely spaced lines or wavelengths. It is determined by the formula R = N × d, where R is the resolution, N is the order of diffraction, and d is the line spacing of the grating. In this case, we are calculating the fourth-order resolution.

Given that the grating is 6.00 cm long and has a line spacing of 3,636 nm (or 3.636×10^-3 cm), we can substitute these values into the formula: R = 4 × 3.636×10^-3 cm = 1.4544×10^-2 cm.

To convert the result to scientific notation, we can write it as 1.32×10^6, which represents a fourth-order resolution of 1.32 million.

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Answer:

24ft,36ft2

The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area

Step-by-step explanation:

Perimeter = 6*4= 24feet

Area=          6*6= 36feet2    

a) You spent $269 during the week.

b) The balance on your student debit card at the end of the week is $146.

a) To calculate the total amount spent during the week, you add up the costs of the books, art supplies, and theater tickets.

Total spent = $197 (books) + $48 (art supplies) + $24 (theater tickets) = $269.

b) To determine the balance on your student debit card at the end of the week, you subtract the total spent from the initial balance.

Balance at the end of the week = Initial balance - Total spent = $415 - $269 = $146.

Therefore, a) you spent $269 during the week, and b) the balance on your student debit card at the end of the week is $146.

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We must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

To adapt the proof:

We can use a similar contradiction argument.

Suppose that there are only finitely many primes of the form 3k + 2, say p1, p2, ..., pn.

Let N = 3p1p2...pn + 2. Note that N is of the form 3k + 2 for some non-negative integer k.

Now, let's consider the prime factorization of N. Either N is prime and of the form 3k + 2, in which case we have found a new prime of the desired form, contradicting our assumption that there are only finitely many such primes. Or, N is composite and has a prime factorization consisting only of primes of the form 3k + 1 (since any prime of the form 3k + 2 would divide N). But this implies that N itself is of the form 3k + 1.

Now, let's consider the number M = 3N + 2. M is also of the form 3k + 2, and so must have a prime factorization consisting only of primes of the form 3k + 1. But since N is of the form 3k + 1, we have

M = 3(3p1p2...pn + 1) + 2 = 9p1p2...pn + 5. This means that M has a prime factorization consisting of primes of the form 3k + 2, which contradicts our assumption that there are only finitely many such primes.

Therefore, we must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

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The length of the arc with a central angle of 45 degrees and radius 6 cm is 4.71 cm

From the question, we have the following parameters that can be used in our computation:

Central angle = 45 degrees

Radius = 6 cm

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 45/360 * 2 * 3.14 * 6

Evaluate

Length of arc = 4.71

Hence, the length of the arc is 4.71 cm

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All possible expressions that could be Carol's are 1/6x3, 1/12x3, 1/18x3, 1/24x3, 1/30x3 .

Alice, Bob and Carol each think of an expression that is a fraction with 1 as the numerator and a constant integer times some power of x as the denominator. The simplest common denominator of Alice's and Bob's expressions is 4x2, while the simplest common denominator of Bob's and Carol's expressions is 12x3. The simplest common denominator of Alice's and Carol's expressions is 6x3. To explain further, Alice's expression can be any fraction with 1 as the numerator and a constant integer times x2 as the denominator, therefore, the denominator of Alice's expression can be any multiple of 4, i.e. 4x2, 8x2, 12x2, 16x2, 20x2 and so on.

Bob's expression can also be any fraction with 1 as the numerator and a constant integer times x2 as the denominator. However, the denominator of Bob's expression must be a multiple of both 4 and 6, i.e. 12x2, 24x2, 36x2, 48x2 and so on. Therefore, Carol's expression must be in the form of a fraction with 1 as the numerator and a constant integer times x3 as the denominator. This means that the denominator of Carol's expression must be a multiple of 6, i.e. 6x3, 12x3, 18x3, 24x3, 30x3 and so on. Hence, all possible expressions that could be Carol's are 1/6x3, 1/12x3, 1/18x3, 1/24x3, 1/30x3 and so on.



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Answer:

x/9 + 3 = 7

x = 36

Step-by-step explanation:

solving an equation with one missing variable

step 1: subtract 3 from both sides of the equation

ex: x/9 + 3 - 3 = 7 - 3   (x/9 = 4)

step 2: multiply both side of the equation by 9

ex: x = 36

step 3: to check your answer input the answer of x from the last problem which was 36 and input it in the original equation

ex: x/9 + 3 = 7   (36/9 + 3 = 7)

4 + 3 = 7

7 = 7 (if both sides of the equation have the same number like 7 = 7 then your answer is true)

The formula for calculating a 99% confidence interval estimate for a population proportion is: CI = p z*(p(1-p)/n). Given a sample size of 200 and a sample percentage of 0.35, the population proportion's 99% confidence interval is (0.271, 0.429).

We may use the following formula to generate a 99% confidence interval estimate for the population proportion:

CI = p ± z × \(\sqrt{(p(1-p)/n)}\)

where p is the sample proportion (x/n), z is the 99% confidence interval critical value (2.576), and n is the sample size.

When we substitute the provided values, we get:

CI = 70/200 ± 2.576 × \(\sqrt{[(70/200)(1-70/200)/200]}\)

= 0.35 ± 0.079

As a result, the population proportion's 99% confidence interval is (0.271, 0.429). This means we are 99% certain that the genuine population proportion falls within this range.

We'll use the following formula to generate a 99% confidence interval estimate for the population proportion:

CI = p ± z × \(\sqrt{(p(1-p)/n)}\)

Here, n = 200, x = 70, and Z represents the 99% confidence interval's Z-score, which is 2.576.

To begin, we compute the sample proportion (p) as follows: p = x/n = 70/200 = 0.35

Next, we'll enter the following values into the formula:

CI = 0.35 ± 2.576 × \(\sqrt{(0.35(1-0.35)/200)}\)

CI = 0.35 ± 2.576 × \(\sqrt{(0.2275/200)}\)

CI = 0.35 ± 2.576 × 0.034

Calculate the margin of error now:

Error margin = 2.576 * 0.034

= 0.0876

Finally, build the confidence interval:

Lower boundary = 0.35 - 0.0876

= 0.2624

Maximum = 0.35 + 0.0876

= 0.4376

As a result, the population proportion's 99% confidence interval is around (0.2624, 0.4376).

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