Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Decrease in number of students by 20% will result in reduction of 7 students from the total of 35 students. Therefore, the remaining students that are currently in Ms. Janicki's homeroom are 28 students.

We must calculate 20% of the total number of students from the previous semester (35) in order to determine the number of students now enrolled in Ms. Janicki's homeroom.

20% of 35 is \((\frac{20}{100} ) \times 35\) = 7.

7 students therefore took the virtual course this semester. We deduct 7 from the starting student count to get the current student count.

35 - 7 = 28.

Hence, there are 28 students are currently in Ms. Janicki's homeroom.

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Answer:

Step-by-step explanation:

I am assuming you mean 20% of the world's population lives in South America.

That is 1/5.

1 /35 of world's population live in Brazil so the fraction of Brazilians in South America

= 1/35 / 1/5

= 5/35

= 1/7

Answer:

the answer is 46.278

Step-by-step explanation:

the formula to find perimeter is πR + d

3.142 × 9 = 28.278 (that's pi times your radius)

28.278 + 18 = 46.278 (add your diameter to the previous problem to get the perimeter)

Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

There are at least two group means that are significantly different from one another, according to the alternative hypothesis (H a). The alternative hypothesis is adopted if the outcome is statistically significant.

You can use ANOVA to determine whether differences between data sets are statistically significant. It functions by examining the levels of variance present within each group using samples drawn from each.

The likelihood that the mean of a sample taken from the data will be different owing to chance increases if there is a lot of variance (spread of data away from the mean) among the data groups.

In addition to examining the variance within the data groups, ANOVA also considers sample size (the smaller the sample, the lower the likelihood that outliers will be randomly selected from it) and sample mean differences (the greater the difference between the sample means, the greater the likelihood that an outlier will be randomly selected from it).

hence, The alternative hypothesis is adopted if the outcome is statistically significant.

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

x < 3

Step-by-step explanation:

2(4+2x) > 5x +5

8 + 4x > 5x +5

4x - 5x > 5 - 8

-x > -3

x < 3

Answer: that is a rectangle

Step-by-step explanation:

Answer:

Rectangle , is correct answer of this question

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

13

Step-by-step explanation:

Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

\(t=\frac{2.303}{k}\log\frac{a}{a-x}\)

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

\(51=\frac{0.69}{k}\)

\(k=\frac{0.69}{51}=0.0135years^{-1}\)

b) for  7500 g to reach to 6900 g

\(t=\frac{2.303}{0.0135}\log\frac{7500}{6900}\)

\(t=6years\)

It will take 6 years for 7500 grams of X to reach 6900 grams.

Answer:

33

go to sleep :)

The terms of expression 4x² - 3xy are

(a) 4x² and -3xy

(b) 4x² and 3xy

(c) 4x² and -xy

(d) x² and xy

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4 x + y, the two terms are 4 x and y. It is to be noted here that terms add up to form the expression.

Terms: a2,6a,and 9.

Variables: a2,a

Constants:9

Factors: a,a are the factors of term 1,-6 and a are the factors of term 2,and 9 is the factor of term 3.

Coefficients:1 is the coefficient of a2,-6 is the coefficient of a,and 9 is the coefficient of the constant term

Operators:- and+

Given, the expression is 4x² - 3xy.

We have to find the terms of the expression.

The terms are the numbers or the variables added together.

Each term in an algebraic expression is separated by a + sign or - sign.

Therefore, the terms in the given expression are 4x² and -3xy.

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About 3 cans of varnish need to be purchased to cover the toy chest.

A prism is a 3-dimensional shape with two identical shapes facing each other.

Given that:

length (l) = 4 ft., width (w) = 3 ft. and height (h) = 2.5 ft.

The surface area of the prism (A) is given by:

A = 2(lh + lw + hw)

Substituting:

A = 2(4 * 3 + 4 * 2.5 + 3 * 2.5)  = 59 ft²

1 can covers 25 ft², for 59 ft², number of cans = 59 ft²/25 ft² = 2.36

About 3 cans of varnish need to be purchased to cover the toy chest.

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Angle ∠X =  64 degrees and Angle ∠Y = 64 degrees and the values of x is 11 and y is 11.

When two lines meet at a point, they form angles. An "angle" is the measurement of the "opening" between these two rays. The symbol for it is. Angles are typically measured in degrees and radians, which are units of rotation or circularity. Points are a piece of our everyday life. Roads, buildings, and sporting facilities are all designed with angles by engineers and architects. Allow us to more deeply study the meaning of points in Maths, the importance of points, the various properties of points alongside some point models.

Alright, so this triangle is an isosceles triangle since there are lines on two sides meaning they are congruent to each other.

So, if the sides are congruent, then the angles are also congruent. Angle y is congruent to angle x.

Sum of all angle of triangle is 180°

∠X + ∠Y + ∠W = 180°

6y-2 + 4x + 20 + 52 = 180

6y + 4x = 110

Now we know that its a Isosceles triangle so,

6y-2 = 4x + 20

6y - 4x = 22

By solving the equations we get,

6y + 4x = 110

6y - 4x = 22

Adding the equation we get,

12y = 132

y = 11

So x = 6(11) - 4x = 22 = 4x = 66-22 = 44.

4x = 44

x = 11.

So,

∠X = 6y-2 = 66-2 = 64°

∠Y = 4x+20 = 44 + 20 = 64°.

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The appropriate range for air pressure for soccer balls is x < 8.5 or x > 15.6.

Part I:

For soccer balls: |x - 12.05| ≤ 3.55

For basketballs: |x - 8.00| ≤ 0.5

For volleyballs: |x - 4.44| ≤ 0.18

Part II:

Let's choose soccer balls as an example. The absolute value inequality describing the air pressure of balls outside the recommended range would be: |x - 12.05| > 3.55.

Part III:

To determine the appropriate range for air pressure for soccer balls, we need to solve the absolute value inequality from Part II.

|x - 12.05| > 3.55

This inequality states that the absolute value of the difference between the actual air pressure (x) and 12.05 (the recommended average psi) should be greater than 3.55 (the tolerance).

We can rewrite the inequality as two separate inequalities:

x - 12.05 > 3.55 OR x - 12.05 < -3.55

Solving each inequality separately:

x - 12.05 > 3.55:

x > 15.6

x - 12.05 < -3.55:

x < 8.5

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We can be 80% confident that the true value of the parameter falls within the range of our estimate plus or minus 1.282 standard errors of the estimate.

The value of zα that would result in a 80% one-sided confidence interval is 1.282. A confidence interval is a range of values that represents the uncertainty of an estimate.

A confidence level is the probability that the interval actually contains the true value of the parameter.

Confidence intervals are typically expressed as a range of values with an associated level of confidence. In a one-sided confidence interval, all of the values are on one side of the estimate.

For example, if we want to construct a one-sided confidence interval for the mean of a population, we would either be interested in the upper or lower end of the range, but not both.

A one-sided confidence interval is also known as a one-tailed confidence interval.

The formula for a one-sided confidence interval is given by:

zα × (σ / √n), where zα is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.

For an 80% one-sided confidence interval, the z-score is 1.282.

This means that we can be 80% confident that the true value of the parameter falls within the range of our estimate plus or minus 1.282 standard errors of the estimate.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Given:

The radius of the cylinder is 6 feet.

The height of the cylinder is 10feet.

To find the volume of the cylinder:

The formula of volume of the cylinder is,

Hence, the volume of the cylinder is 1130.4 cubic ft.

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

To find the total area of the track, we need to calculate the area of each section and then add them together.

Area of a semi-circle with radius 31m:

A = (1/2)πr^2

A = (1/2)π(31m)^2

A = 4795.4m^2

Area of a rectangle with length 92.7m and width 31m (the straight parts):

A = lw

A = (92.7m)(31m)

A = 2873.7m^2

To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:

Total area = 2(Area of semi-circle) + 2(Area of rectangle)

Total area = 2(4795.4m^2) + 2(2873.7m^2)

Total area = 19181.6m^2

Rounding this to 1 decimal place, we get:

Total area ≈ 19181.6 m^2

Therefore, the total area of the track is approximately 19181.6 square meters.

Answer:

1

Step-by-step explanation:

The formula for slope is y2 - y1 over x2 - x1.

-8--2 = -6

6-12= -6

-6/-6 = 1

Answer:

here u go!

Step-by-step explanation:

each bus can fit 45 people and there are 298 TOTAL. there will be an extra bus with less than 45 people btw.

first divide 298 by 45, you will get 6.2 something. however, you CANNOT have .2 of a bus. the 6 represents 6 buses of 45 people.

now taking that 6 again, multiply it by 45. 45 x 6 = 270. we have 28 people left over, this adds an extra bus.

7 buses will be needed to get them to the game.

To find the percent of something, turn the percent into a decimal and multiply (move the decimal place 2 places left, e.g. 53% = .53)

Answer:

\(v = \frac{n+y+16}{2}\)

Step-by-step explanation:

2(v-8) = n+y

Distribute

2v-16 = n+y

Move -16 to the other side

2v = n+y+16

Divide everything by 2

\(v = \frac{n+y+16}{2}\)

Answer:

\(v = \frac{n+y}{2} +8\)

Step-by-step explanation:

To find the expression that represents v, we have to isolate v. Our first step is distributing the 2 to both v and 8.

(2(v) - 2(8))

2v - 16 = n + y

Now add 16 to both sides.

2v = n + y + 16

Now divide both sides by 2, this will isolate v and give us the initial value of it.

\(v = \frac{n+y}{2} +8\)

Answer:

she earned 716.5

Step-by-step explanation:

17x24.50 = 416.5

416+300 = 716.5

Answer:

2x(3x+7)

Step-by-step explanation:

factor 2x out of 6x^2+14x

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

A function showing the value of the account after t years is \(f(t) = 690(1.021)^{t}\)

The percentage of growth per year (APY) is 21.22%.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(f(t) = P_{0}e^{rt}\)

Where:

Based on the information provided above, we can reasonably infer and logically deduce that the function for the future value after t years is given by;

\(f(t) = 690(1 + 0.021)^{t}\\\\f(t) = 690(1.021)^{t}\)

Growth per year (APY) =  \(e^{r} =e^{0.021}\)

Growth per year (APY) = 1.02122 - 1 = 0.2122 = 21.22%

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