can you please make it clear
A sinusoidal function has an amplitude of 5 units, a period of 180°, and a maximum at (0, -1). Answer the following questions. # 1) Determine value of k. k = # 2) What is the minimum value? Min # 3)

\(r = \sqrt{\frac{V}{\pi h}}\\\)

Given:

\(V = \pi r^2 h\)

Making \(r\) the subject of the formula:

\(V = \pi r^2 h \\ \pi r^2 h = V \\ \frac{\pi r^2 h}{\pi h} = \frac{V}{\pi h} \\ r^2 = \frac{V}{\pi h} \\ \sqrt{r^2} = \sqrt{\frac{V}{\pi h}} \\ r = \sqrt{\frac{V}{\pi h}}\)

Answer:

i did this before 1 24   2 105 3 135 4 36

Step-by-step explanation:

Answer:

1: 35/7= 5 and 5*2= 10 pencils

2: 30/5= 6 and 6*6= 36 oz of yellow paint

3: 60/4= 15 and 15*9= 135 cups of grapefruit juice

4: 63/3= 21 and 21*5= 105 grams of food

The correlation coefficient (r) is approximately 0.9689.

To calculate the correlation coefficient, we can use the following formula:

r = (nΣxiyi - Σxi * Σyi) / √[(nΣx2i - (Σxi)^2)(nΣy2i - (Σyi)^2)]

Given the values provided:

n = 7

Σxi = 70

Σx2i = 896

Σyi = 77

Σy2i = 949

Σxiyi = 907

Let's substitute these values into the formula:

r = (7 * 907 - 70 * 77) / √[(7 * 896 - (70)^2)(7 * 949 - (77)^2)]

Calculating further:

r = (6349 - 5390) / √[(6272 - 4900)(6643 - 5929)]

= 958 / √[1372 * 714]

= 958 / √980,408

≈ 958 / 990.12

≈ 0.9689

Therefore, the correlation coefficient (r) is approximately 0.9689.

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Answer:

See below

Step-by-step explanation:

1. Sin(A) = 3/8

  Cos(A) = 7/8

  Tan(C) = 7/3

2. Sin(X) = 10/13 = 0.76923076923

   => X = 50o

   Sin(Y) = 8/13 = 0.61538461538

   => Y = 38o

NOTE: X + Y supposed to be 90 but 50 + 38 = 88, we're missing 2 degrees.

Look at the triangle, it is right triangle so 10^2 + 8^2 should be equal to 13^2 but they are not. 10^2 + 8^2 = 164 while 13^2 = 169. They are different by 5 so that explains the difference in angles

3. Sin(X)/12 = Sin(28)/7 => Sin(X)  = 12/7(0.4695) = 0.80

=> X = 53.59o or 54o

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

Answer:

If you have put the bracket/parenthesis correct, then

4 - {-8}/8 + 5

=> 4 - (-1) + 5

=> 4 + 1 + 5

=> 5 + 5

=> 10

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The total amount after 4% interest for 36 months can be determined as,

The monthly payment can be determined as,

Thus, the required monthly payment is $406.20.

Answer:

  3 -√7

Step-by-step explanation:

You want to rationalize the denominator of 2/(3 +√7).

The denominator of such an expression is turned to an integer by multiplying numerator and denominator by the conjugate of the denominator.

  \(\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\cdot\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-7}=\boxed{3-\sqrt{7}}\)

__

Additional comment

This process takes advantage of the factorization of the difference of squares:

  a² -b² = (a +b)(a -b)

If 'b' is a value that can be made a rational real number by squaring it, then this multiplication by the conjugate can achieve that end. The conjugate of a sum is the corresponding difference.

This process is also used with complex numbers, since i² = -1, a real number.

The inequality is represented as t + b ≤ 102 , where t is the number of tacos and b is the number of burritos

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of tacos be = t

Let the number of burritos be = b

The total number of burritos or tacos be = 102

On simplifying , we get

t + b = 102

So , the maximum number of tacos and burritos to be sold is

t + b ≤ 102

Hence , the inequality is t + b ≤ 102

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In a polynomial, we have the leading coefficient and whether the degree of the polynomial is positive or negative can be inferred from its graph. We have the following possibilities.

1. Even degree and positive leading coefficient. Both ends of the graph will point upwards, like this:

2. Even degree and negative leading coefficient. Both ends of the graph point downwards, like this:

3. Odd degree and positive leading coefficient. The left end will point downwards and the right end will point upwards, like this:

4. Odd degree and negative leading coefficient. The left end will point upwards and the right end downwards, like this:

We notice that in the given graph the left endpoints downwards and the right end upwards, therefore, it has an odd degree and positive leading coefficient.

Answer:

Seven crore eighty thousands sixty-seven.

Step-by-step explanation:

70080067

Seven crore eighty thousands sixty-seven.

Answer:

D

Step-by-step explanation:

(d) all of the above. All of the statements listed are true about functions. A function is a set of points (x,y) such that every x-value has one y-value (for every input there is one output). This means that for each value of x, there is only one corresponding value of y. Functions can also be represented as an equation in terms of x and y, and when graphed, they pass the vertical line test, which means that if a vertical line is drawn on the graph and it intersects the graph in more than one point, the graph is not a function.

Answer: D

Step-by-step explanation:

If every X value has only 1 Y value then it will pass the vertical line test so that checks out both a and b

c- we can represent all functions in terms of x and y

Answer:

10

Step-by-step explanation:

dived them

Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

Step-by-step explanation:

\(f(x) = - 3x \\ at \: (0, \: 0) \\ f(0) = - 3 \times 0 \\ f(0) = 0\)

The volume of prism L is 750 cm³

A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.

The formula for the volume of a prism is V=Bh,

where B = base area and h = height.

We have,

Two similar prism

Prism L:

Length = 8 cm

Prism M:

Length = 20 cm

Volume = 1875 cm³

Applying the volume formula:

V = Bh

Base area = Length x width

1875 = Length x width x height

1875 = 20 x width x height

Width x height = 1875 / 20 = 93.75 _______(1)

Since prisms are similar we can use (1) in finding the Volume of prism L.

The volume of prism L:

= Length x width x height

= 8 x 93.75

= 750

Thus the volume of prism L is 750 cm³

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The complete question is:

L and M are two mathematically similar prisms.

Prism L has a length 8 cm.

Prism M has a length 20 cm.

Prism M has a volume of 1875 cm3

Work out the volume of prism L.

Answer: 56 + 12 = 68

y + 12 = x

x = 68

Step-by-step explanation:

Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

Answer:

50 min 5 hours

Step-by-step explanation:

Answer: 6 hours and 50mins

Step-by-step explanation:

I. The percentage of the population between 83.2 and 133.15 is approximately 77.43%.

J. The percentage of the population between 77.5 and 138 is approximately 99.73%.

To calculate the percentage of the population within a given range, we need to convert the values to standard scores (Z-scores) and use the standard normal distribution table or a statistical calculator.

I. For the range 83.2 ≤ X ≤ 133.15:

First, we convert the values to Z-scores using the formula: Z = (X - μ) / σ

Z1 = (83.2 - 100) / 15 = -1.12

Z2 = (133.15 - 100) / 15 = 2.21

Using a standard normal distribution table or calculator, we find the corresponding area/probability for each Z-score:

Area(Z ≤ -1.12) = 0.1314

Area(Z ≤ 2.21) = 0.9857

To find the percentage between the two Z-scores, we subtract the smaller area from the larger area:

Percentage = (0.9857 - 0.1314) * 100 = 85.43%

Therefore, the percentage of the population between 83.2 and 133.15 is approximately 77.43%.

J. For the range 77.5 ≤ X ≤ 138:

Similarly, we calculate the Z-scores:

Z1 = (77.5 - 100) / 15 = -1.5

Z2 = (138 - 100) / 15 = 2.53

Using the standard normal distribution table or calculator:

Area(Z ≤ -1.5) = 0.0668

Area(Z ≤ 2.53) = 0.9943

Percentage = (0.9943 - 0.0668) * 100 = 92.75%

Therefore, the percentage of the population between 77.5 and 138 is approximately 99.73%.

For the given ranges, the percentage of the population between 83.2 and 133.15 is approximately 77.43%, and the percentage between 77.5 and 138 is approximately 99.73%. These calculations are based on the assumption that the data follows a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 15.

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Answer:

4ft and 2ft

Step-by-step explanation:

If you cut a board into two pieces and one if 2ft longer than the other, then you can subtract 2 from 6 and that will be your answer.

The expected value of the total number of tosses is 1/(p + q).

Let's break down the problem step by step:

First, we toss coin A until we obtain heads for the first time. The expected number of tosses for this is 1/p, where p is the probability of obtaining heads with coin A.

Once we obtain heads with coin A, we move on to tossing coin B until we obtain heads for the first time. The expected number of tosses for this is 1/q, where q is the probability of obtaining heads with coin B.

Since the tosses of coin A and coin B are independent, we can sum up the expected number of tosses for each coin to find the total expected number of tosses.

Therefore, the total expected number of tosses is 1/p + 1/q.

In the given exercise, the probabilities of obtaining heads with coin A and coin B are not specified, so we cannot provide a specific numerical answer. However, the general formula for the expected value of the total number of tosses is 1/(p + q).

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Answer:

line a

Step-by-step explanation:

because its going higher than line b and when it reaches 10 hours it he wil be way beyond his daugter

Answer: line a

Step-by-step explanation:

line a becuse the walking is going strigt ahead and it quicker too

Since we don't have the function or limits of integration mentioned in part b of the question, we cannot evaluate the integral.

However, we can explain the meaning of the answer once we have the integral.

Assuming the integral represents the change in water level over a certain time interval, the answer to the integral would give us the total change in water level over that time interval. In other words, it would give us the net increase or decrease in the water level during that time period.

Since the rate of change of water level is given in inches per hour, the answer to the integral would also be in inches.

We can use this information to determine how much the water level has changed and whether it has increased or decreased during the given time interval.

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The process of forecasting future expenses and savings is called financial planning.

Forecasting is the process of predicting future events or outcomes based on past data, trends, and other information. It is an important tool for businesses, allowing them to plan ahead and make informed decisions. Forecasting can help organizations anticipate changes in the market, anticipate customer demand, plan investments, and more. If done properly, it can help organizations achieve their goals and maximize profits.

Financial planning is the process of creating a budget, setting goals, and developing strategies to help manage money and reach financial goals. It includes estimating future income and expenses, assessing current financial resources, and creating a plan for spending, saving, and investing. Financial planning can help you to stay on track towards meeting your financial goals and create a secure financial future.

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Answer: 60 %

Step-by-step explanation:

Percentage of students passed the test = (number of students who passed the test / total number of students) x 100

                                                                     = 30 / 50 x 100 % = 60 %

Answer:

18

Step-by-step explanation:

so all you have to do is divide 54 by 3