Graph one period of: y = -8 cos 5x

Answer:

£ 162

Step-by-step explanation:

Ratio:

    Ratio of money = 2 : 3

Edward receives two parts of the money and Thomas receives three parts of the money.

Edward's share = 2x

Thomas share = 3x

Thomas receives £243 which is three parts. Find 'x'.

           Thomas share = £ 243

                              3x  = 243

         Divide both sides by 3,

                                 x = 243 ÷ 3

                                 x = 81

Now, find Edward's share.

Edward's share = 2x

                          = 2*81

                         = £ 162

Answer:

£ 162

Step-by-step explanation:

Ratio:

   Ratio of money = 2 : 3

Edward receives two parts of the money and Thomas receives three parts of the money.

Edward's share = 2x

Thomas share = 3x

Thomas receives £243 which is three parts. Find 'x'.

          Thomas share = £ 243

                             3x  = 243

        Divide both sides by 3,

                                x = 243 ÷ 3

                                x = 81

Now, find Edward's share.

Edward's share = 2x

                         = 2*81

                        = £ 162

Answer: 1/3

Step-by-step explanation: The only option would be two and that has a 1/3 chance of occuring.

Answer:

x = -30

Step-by-step explanation:

25 = -7 (x+5) +5x            expand brackets

25 = -7x -35 +5x             simplify

25 = -2x -35                    add 35 to both sides

60 = -2x                          multiply by sides by -1

-60 =2x                           divide by 2

x =-30

Answer:

-30

Step-by-step explanation:

25= -7x-35+5x

25+35= -2x

60= -2x both side by -2

-30=x

Answer:

Step-by-step explanation:

7+m>5

Answer:

m = -2

Step-by-step explanation:

yes.

Answer:

[tex]\displaystyle \sqrt{3}\biggr[\cos\biggr(\frac{11\pi}{9}\biggr)+i\sin\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]

Step-by-step explanation:

Use the nth-root formula for complex numbers in polar form

[tex]\displaystyle \sqrt[n]{r}\biggr[\text{cis}\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]\\ \\\\\sqrt[2]{3}\biggr[\text{cis}\biggr(\frac{\frac{4\pi}{9}+2\pi(1)}{2}\biggr)\biggr]\\ \\\\\sqrt{3}\biggr[\text{cis}\biggr(\frac{2\pi}{9}+\pi\biggr)\biggr]\\\\\\\sqrt{3}\biggr[\text{cis}\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]

[tex]\displaystyle \sqrt{3}\biggr[\cos\biggr(\frac{11\pi}{9}\biggr)+i\sin\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]

Note that this is one of the square roots of the complex number with k = n-1 = 2-1 = 1, but is the only applicable answer to this problem.

Answer:

6902.97m³

Step-by-step explanation:

volume of a sphere =4/3πr³

=4/3×3.142×13×13×13=9203.965m³

1/4×9203.965=2300.99125m³

9203.965-2300.99125=6902.974

=6902.97m³

The given exponential function represents decay since the base (0.13) is less than 1. And the percentage decrease of 91.68%.

The percentage rate of the decrease can be determined by taking the base and subtracting it from 1 and then multiplying the result by 100. Mathematically, this can be expressed as (1 - 0.13)*100 = 87%. To illustrate this mathematically, let's assume that the initial value of y is 100. We can then calculate the value of y after one time period (t) as follows: y = 64(0.13)t.

Plugging in t = 1, we get y = 64(0.13) = 8.32. This means that the value of y has decreased by (100 - 8.32) = 91.68, or a decrease of 91.68%. Dividing this by the initial value of 100 gives us a percentage decrease of 91.68%/100 = 0.9168 or 91.68%.

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Answer:

They are not equal

  one is  -1 times  the other   answer C

Step-by-step explanation:

for t =2     15.8t - 3.8t = 24

                    3.8t - 15.8t =  - 24

Answer:

C, 24, and -24

Step-by-step explanation:

Step 1a) No, so C

Step 1b) 15.8(2)- 3.8(2)

Step 2b) 31.6 -7.6

Step 3b) 24

Step 1c) 3.8(2)- 15.8(2)

Step 2c) 7.6 -31.6

Step 3c) -24

The experimental probability of getting an odd number on the next toss is 51.3%.

Probability is a measure of the likelihood of an event occurring. In the case of the six-sided number cube, the theoretical probability of getting an odd number on any one roll is 3 out of 6, or 1/2, or 50%. However, this is a theoretical value and may not match the actual results obtained from a set of experiments.

The experimental probability of an event is calculated by observing the actual results of a series of trials and comparing it to the number of possible outcomes. In this case, the number cube was tossed 150 times and the results were recorded in the table. The frequency of the odd numbers (1, 3, and 5) was found to be 77.

The experimental probability of getting an odd number on the next toss can be calculated by dividing the frequency of the odd numbers by the total number of tosses, which is 150. 77/150 = 0.513 or 51.3%.

Therefore, the experimental probability of getting an odd number on the next toss of the six-sided number cube is 51.3%.

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Step-by-step explanation:

Пісяжлшорркгашанргчгаппаппвмсап

155 degrees

Straight line equals 180 degrees.

180 - 25 = 155 degrees

Answer:

155 degrees

Step-by-step explanation:

A straight angle is 180 degrees. The equation to solve this would be 25+x=180; to solve this, subtract 180-25=x; x=155

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Answer:

9.4 ounces of oat meal

Step-by-step explanation:

37.6 x 10 = 376

4 x 10 = 40

we do this to get rid of the decimal

376/40=188/20=94/10=47/5=9(2/5)=9.4 ounces of oat meal

Answer:Second option ( $8.04)

Step-by-step explanation:

Answer:

A cup

Step-by-step explanation:

Because a pint is smaller than a cup look it up it's true

The volume of larger solid represented by b is 3125.

The scale factor of two solids will be equal to the following formula -

volume of solid a/volume of solid b = solid a³/solid b³

Keep the values in formula to find the volume of solid b

200/ volume of solid b = 2³/5³

Rewriting the equation according to volume of solid b

Volume of solid b = 5³ × 200/2³

Performing multiplication with cube of 5

Volume of solid b = 125 × 200/8

Volume of solid b = 25000/8

Performing division on Right Hand Side of the equation

Volume of solid b = 3125

Hence, the volume of solid b is 3125.

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1). The two adjacent angles are ∠1 and ∠2.

2). The two vertically opposite angles are ∠1 = ∠3.

3). The value of x will be 10.

Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.

1.) The two adjacent angles will be:-

∠1 and ∠2

The two angles are just next to each other which is why they are adjacent angles.

2). The two vertically opposite angles are ∠1 = ∠3. They are opposite to each other so their values will also be the same.

3). The value of x will be calculated as:-

9x = 90

x = 90 / 9

x = 10

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The side lengths x and y are √( 50² - y²) and √50² - x² respectively.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In a right angle triangle, the length of one side can be determined using the Pythagorean theorem:

x² + y² = hypotenuse²

In the given triangle the length of hypotenuse is 50 cm

x² = 50² - y²

x=√( 50² - y²)

y = √50² - x²

Hence, the side lengths x and y are √( 50² - y²) and √50² - x² respectively.

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The value of the expression 2/3 x -4/5 is -8/15.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:
An expression,

2/3 x -4/5.

Here, we have to multiply the fraction.

So,

2/3 x -4/5,

= -8/15

Therefore, -8/15 is the value.

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Answer: 132 degrees

Step-by-step explanation: 180 degrees ( the degree of a straight line) - 48 equals 132

For the significance test given, the error will be a type one error.

The results of tests for statistical significance show whether apparent variations in assessment results are the product of random variation or sampling mistake. The given parts can be answered as -

a) The analysis of the given question was conducted with a likelihood of .05 for a type one error. This is because the level of significance for it is .05 as well. Therefore, such a situation implies that regardless of whether the null hypothesis is correct and accurate there is still a five percent chance that it will be incorrect or will be rejected.

b) The probability that a representative sample will be equally extreme or more intense than the one that was correctly predicted is known as the p-value when the null hypothesis is true. In this case, the p-value is only .03 and drops below the .05 criterion of significance. This reveals that the generic parameter-supported null thesis is categorically rejected. This study would thus, further result in the rejection of the null hypothesis.

c) A decision error from the test could be either a Type I error or a Type II error. While a Type II error happens when the null hypothesis is true but not rejected, a Type I error happens when the opposite is true. Since the null hypothesis was true but was rejected by chance in this situation, any judgement error that the test produced would be of the Type I variety.

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It is important to use a device like a random number table in a simulation because Option A Chance plays a part in the process being simulated.

In simulations, a random number table is used to incorporate the element of chance into the process being modeled. The reason this is important is that many real-world processes involve uncertainty and randomness, and to accurately simulate these processes, it is necessary to include these elements.

For example, in simulating the stock market, stock prices can be modeled as random variables, because they are influenced by a variety of unpredictable factors such as changes in interest rates, company earnings, geopolitical events, and investor sentiment. To simulate this process, a random number table can be used to generate random numbers that represent these unpredictable factors.

By using a random number table, the simulation can model the uncertainty and randomness inherent in the real-world process, which makes the simulation more accurate and realistic. This is why it is important to use a device like a random number table in a simulation when chance plays a part in the process being simulated.

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The original price of the pair of jeans is equals to the $120.

We Jodi wants to buy a pair of jeans.

The purchase price of pair of jeans = $90

Discount on price of jeans = 75%

Let the original price of pair of jeans be equal to "$x". Percent is an important concept of mathematics. It is a number or ratio of fraction of hundred. It is denoted by symbol %. The formula is

% = ( part /whole )×100

Here, it is said that the price of pair of jeans, $90, is only 75% of the original price. So, we can write it as the following way 75% of x = 90

=> (75/100) of x = 90

=> (75/100) × x = 90

=> x = 90× 100/75

=> x = 9000/75

=> x = 120

Hence, required value of x is 120.

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Two details are that support the response:

The oak is revered as a cosmic repository of knowledge represented by its imposing might. It develops at its own pace, gradually yet steadily. Due of its size and longevity, oak is frequently connected with dignity, nobility, and knowledge as well. Since the very beginnings of human interaction with oaks, a highly potent symbolic picture of oaks has emerged, in which these trees have come to be connected with immortality, power, consistency, perseverance, fertility, justice, and honesty.

Two responses are:

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This graph above portraiture the linear equation

Answer: 23

Step-by-step explanation:

This is another parallel line theorem that is important. Over here, we will need to use the concept of corresponding angles (refer to images below). In corresponding angles, they are equal. So we know the corresponding angle to [tex]x + 1[/tex] will be equal to [tex]x + 1[/tex] since corresponding angles are equal.

Now we have to use the fact that angles on a line add up to 180°. Keeping this in mind, we can now solve it like this:

[tex](x + 1) + (7x-5) = 180\\x + 1 + 7x - 5 = 180\\8x - 4 = 180\\8x = 184\\x = 23\\\\[/tex]

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Answer:

18x + 346

Step-by-step explanation:

8(x+12) + 10(x+25)

8x + 96 + 10x + 250

18x + 346

Answer: 1

Step-by-step explanation: The Distributive Property is nothing to get confused about. It is simply just a multiplication rule. Follow out the steps in this problem in order. 1/3 * 6 = 2. 2 * 1/2 = 1, and there you go! If this helped, please consider giving this a brainiest as I am one away from the next rank!

Answer: 2

Step-by-step explanation:

The answers for the asked probabilities are a) 1/6, b) 5/36, c) 1/36 and d) A and B events are not independent.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, Antonia rolls a pair of fair six-sided dice. A is the event that the first die lands on 5 and B is the event that the sum of the two dice is 6.

Probability = possible outcomes / favorable outcomes

Suppose that Antonia rolls a pair of fair six-sided dice.

All possible outcomes are:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

(36 outcomes in total)

a) A = the first die lands on 5

Favorable outcomes:

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6 outcomes)

Therefore, the probability that the first die lands on 5 = P(A) = 6/36 = 1/6

b) B = the sum of the two dice is 6

Favorable outcomes:

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = (5 outcomes)

Therefore, the probability that the sum of the two dice is P(B) = 6 = 5/36

c) A∩B = the first die lands on 5 and the two dice add up to 6

Favorable outcomes:

(5, 1) = 1 outcome

Therefore, the probability that the first die lands on 5 and the two dice add up to6 = P(A∩B) = 1/36

d) Two events are independent when;

P(A∩B) = P(A) · P(B)

Since,

1/36 ≠ 5/36 · 1/36

Therefore, A and B events are not independent.

Hence, the answers for the asked probabilities are a) 1/6, b) 5/36, c) 1/36 and d) A and B events are not independent.

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