Math equation …. Please help

The values of x in each of the triangles is given thus;

5. x = 11. 87

6. x = 27. 19

7. x = 4. 56

8. x = 42. 38

9. x = 36. 87 degrees

10. x = 18. 32 degrees

It is important to note the trigonometric identities in mathematics are;

The different ratios are;

sin θ = opposite/hypotenuse

tan θ = opposite/adjacent

cos θ = adjacent/hypotenuse

From the information given, we have;

1. Using the cosine identity;

cos 32 = x/14

cross multiply the values

x = 11. 87

2. Using the sine identity;

sin 54 = 22/x

x = 27. 19

3. Using the tangent identity;

tan 75 = 17/x

cross multiply

x = 4. 56

4. cos 43 = 31/x

cross multiply the values

x = 42. 38

5. tan x = 9/12

divide the values

tan x = 0.75

find the inverse

x = 36. 87 degrees

6. sin x = 11/35

Divide the values

sin x = 0. 3142

x = 18. 32 degrees

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The slope for the green line is 3.

Slope is simply the measure of the steepness or incline of a line.

It the ratio of the vertical change between two points on a line to the horizontal change between the same two points.

Change in y-axis over change in x-axis.

If the two lines, red and green, are parallel, then they have the same slope.

Hence,

If the slope of the red line is 3, then the slope of the green line is also 3.

This is a fundamental property of parallel lines.

Therefore, the green line has slope of 3.

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The US government gave settlers 160 acres of land in the Great Plains under the Homestead Act of 1862, allowing them to build a house and cultivate crops.

The Homestead Act of 1862 was signed into law by President Abraham Lincoln, which offered settlers the opportunity to claim up to 160 acres of land in the western United States. To be eligible for the land, settlers had to be at least 21 years old, the head of the household, and have lived on the land for at least five years.

They also had to cultivate the land and build a house on it. This act was intended to encourage settlement in the western territories and to promote agriculture in the area. The Great Plains were a prime location for the Homestead Act because the land was relatively flat and had fertile soil, which was suitable for farming.

By the end of the 19th century, over 600,000 claims had been made under the Homestead Act, and millions of acres of land were transferred from government ownership to private ownership.

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Answer:

  $5.33

Step-by-step explanation:

You want to know Matthew's change from a $10 bill if he bought 6 donuts for $0.35 each, and a Coke for $2.57.

The amount of change is the difference between the amount tendered and the value of the purchase(s):

  10 - (6×0.35 +2.57) = 5.33

Matthew received $5.33 in change.

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The total number of marbles collected by Alex is given by the inequality relation x > 6 , and the graph is plotted

Given data ,

Let the number of marbles collected by Alex be x

And , Alex's friend collects twice the number of marbles = 2x

Now , the sum of Alex’s and his friend’s collection is more than 18

So , ( x + 2x ) > 18

On simplifying , we get

3x > 18

Divide by 3 on both sides , we get

x > 6

Hence , the inequality is x > 6 , where x is the number of marbles collected by Alex

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The above table of 3 by 3 grid of 9 numbers where 5 numbers are present, the product value of missing numbers in table, i.e, ABCD is equals to the [tex]12 \sqrt{3} .[/tex]

We have a table of 3 by 3 grid of 9 numbers present in above figure. That is table consists 3 rows (horizontal) and 3 columns (vertical). Five numbers are present out of 9 numbers in table. The missing numbers represented by A,B,C and D. We have to determine the product of ABCD. Now, product of the numbers in each row and in each column is the same, so

[tex]2A\sqrt{3 } = AB\sqrt{3}[/tex]

=> B = 2

[tex]6 \sqrt{6} = BC \sqrt{6} [/tex]

=> BC = 6

[tex]2CD \sqrt{3} = D \times 6 \sqrt{3} [/tex]

=> C = 3

Now, the statement that product of the numbers in each row and in each column is the same is valid for all rows and columns. So,

from first two equality, [tex]A = \frac{ 6\sqrt{6}}{2\sqrt{3}}[/tex]

=> [tex] A = 3\sqrt{2}[/tex]

From last two equality, [tex] 6 \sqrt{3} = 2 \sqrt{3} \times CD[/tex]

=> D = 1

Therefore, A = 2√3, B = 2, C =3, D = 1, so compute the product of numbers, ABCD

= [tex] 2×3×1×2 \sqrt{3} = 12 \sqrt{3} [/tex]

Hence, required value is [tex] 12 \sqrt{3} [/tex].

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Complete question:

The above table complete the question. the table above is A 3 by 3 grid of 9 numbers, 5 of which are given. the 4 numbers that are not given are denoted by A, B, C, and D. the product of the numbers in each row and in each column is the same for all rows and columns. what is the value of the product ABCD?

Answer

QR=22.22%

PQ=44.44%

RS=33.33%

Not RS= 77.78%

Explanation

Probability is about determining how much of a part takes up the whole. In this case, the whole is 18, because this is the total length.

For QR, the length of the segment is 4, so we can say 4/18 because the segment is 4 parts of the 18 total length.

To determine percent, we divide and multiply by 100%

4/18=0.2222*100%=22.22%

Similarly, PQ is 8 parts of the whole 18, so

8/18=0.4444*100%=44.44%

And RS is:

6/18=0.3333*100%= 33.33%

We can verify that we are correct by adding all these percentages together, knowing that they should equal 100%. Here, we add them and get 99.99%, which verifies we are correct. There is an error of .01% because we have been rounding.

Finally, the parts that are not RS are QR and PQ, so we must add QR and PQ to determine how many parts they are of the 18 whole.

QR+PQ= 14/18=0.7778*100%= 77.78%

Answer:

D

Step-by-step explanation:

Straight across would be 180 degrees.  

Halfway between the y-axis and x-axis (4 possibilities for this) is 45 degrees, which is 15 degrees above 30.  

180 + 30 = 210, which is what we are looking for.  

Therefore, it looks like the best answer is D, also because if it is negative, it is swinging from right to left (counter-clockwise), as D shows.

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Answer: 720 possible passwords

Step-by-step explanation:

good luck!

Vinny made a password consisting of 3 digits, and since none of the digits are the same, the first digit can be any number from 1 to 9, the second digit can be any number from 0 to 9 excluding the first digit, and the third digit can be any number from 0 to 9 excluding the first two digits. Therefore, the possibility of passwords Vinny could choose from is: 9 x 9 x 8 = 648 possible passwords.

Vinny made a password consisting of 3 unique digits. To determine the number of possible passwords, we need to consider the available options for each digit.
For the first digit, Vinny can choose any of the 10 digits (0-9), but since the leading digit cannot be 0, there are 9 choices (1-9). For the second digit, Vinny has 9 options remaining (10 digits minus the first digit). And for the third digit, there are 8 options left (10 digits minus the first two digits).
To calculate the total number of possible passwords, simply multiply the options for each digit: 9 (first digit) * 9 (second digit) * 8 (third digit) = 648 possible passwords.
So, Vinny had 648 possible passwords to choose from.

Vinny made a password consisting of 3 digits, and since none of the digits are the same, the first digit can be any number from 1 to 9, the second digit can be any number from 0 to 9 excluding the first digit, and the third digit can be any number from 0 to 9 excluding the first two digits. Therefore, the number of possible passwords Vinny could choose from is:
9 x 9 x 8 = 648 possible passwords.

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Answer: number 3 is the answer!!!

Step-by-step explanation:

number 3!!!

1) To find the missing ordered pair of a rectangle, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of D must be equal to the x-coordinate of A, and the y-coordinate of D must be equal to the y-coordinate of C. Therefore, D(-3, -3).

2) Similarly, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of H must be equal to the x-coordinate of E, and the y-coordinate of H must be equal to the y-coordinate of F. Therefore, H(0, 0).

3) To find the missing ordered pair of a square, we can use the fact that all sides of a square are equal in length and all angles are right angles. This means that the distance between J and K must be equal to the distance between K and L, which is 4 units. Therefore, the distance between L and M must also be 4 units. Since L has an x-coordinate of 2, M must have an x-coordinate of 2 + 4 = 6. Similarly, since L has a y-coordinate of -2, M must have a y-coordinate of -2 + 4 = 2. Therefore, M(6, 2).

4) To find the missing ordered pair of an isosceles right triangle, we can use the fact that two sides of an isosceles triangle are equal in length and two angles are equal in measure. This means that the distance between P and Q must be equal to the distance between Q and R, which is 6 units. Therefore, R must be 6 units away from Q along the x-axis. Since Q has an x-coordinate of 0, R must have an x-coordinate of 0 + 6 = 6. Similarly, since Q has a y-coordinate of 6, R must have a y-coordinate of 6 - 6 = 0. Therefore, R(6, 0).

Answer: the perfect square factor of 75 is 3

Step-by-step explanation:

Answer:

C. 3

Step-by-step explanation:

We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3.

Answer:

60 friends

Step-by-step explanation:

If Noah has 184 apples and only gave away 60 I would be assuming that he has 60 friends. You didn't give a good question and this is my best guess.

- Hope this helps

(a) We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers at a significance level of 0.05. (b) Using Fisher's LSD procedure, we conclude that the means of manufacturers 1 and 2 are significantly different.

a) Using ANOVA to test the equality of the means for the three manufacturers, we find that the sum of squares for treatment is 260.80, sum of squares for error is 93.60, mean squares for treatment is 86.93, and mean squares for error is 7.40. The test statistic F is 11.74 with a p-value of 0.002. We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers.

b) Using Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 2, we find that the LSD value is 5.05. Since the difference between the means of manufacturers 1 and 2 (4.33) is greater than the LSD value, we can conclude that the means are significantly different.

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The narrative techniques used in this story are:

The theme of this narrative is to never give up and to always follow your curiosity.

In the narrative, the climax is the most challenging part because it was the point where the story reached its highest level.

I noticed the locked door that I passed every day was slightly ajar as I walked by it. Curiosity got the better of me, and I pushed the door open, eager to see what was inside.

The room was dark, but as my eyes adjusted to the dim light, I realized I'd found a forgotten storage room. The room was cluttered with old boxes and furniture, but as I rummaged through it, I discovered a small locked chest.

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Answer:

[tex]\frac{1}{7^6}[/tex]

Step-by-step explanation:

When we have a negative exponent in the form a^-x, this is equal to 1/a^x.

We can apply this here, where a = 7, and x = 6.

Hence, 7^-6 = 1/(7^6)

The solution of x in the intersecting lines l, m, and n forming a triangle is 70

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

The intersecting lines l, m, and n that form a triangle.

Using the sum of opposite internal angles of a triangle, we have the following equation

x = 30 + 40

Evaluate the sum of the expressions

So, we have the following representation

x = 70

Hence, the calculated measure of the angle x is 70 degrees

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The linear equation modeling the given relationship is y = 150 + 200x, where y is the fees and x is the time in hours.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given that,

Registration fee for a new client = $150

There is also a fees of $200 per hour.

If x represents the hours, then the additional fees for x hours is 200x.

Total fees, y = 150 + 200x

If x = 0 hours, then y = $150

If x = 1 hour, y = 150 + (200 × 1) = $350

If x = 3 hours, y = 150 + (200 × 3) = $750

If x = 4 hours, y = 150 + (200 × 4) = $950

If x = 7 hours, y = 150 + (200 × 7) = $1550

Hence the linear equation modeling the situation is  y = 150 + 200x.

If x = 0, 1, 3, 4 and 7, the values of y are 150, 350, 750, 950 and 1550.

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complete question:

Kevin runs a legal services company. He charges a registration fee of $150 when a new client is registered. He will then meet with the client to discuss their legal needs and bills they $200 per hour. Write an linear equation that models this relationship.

Fill in the table using the linear equation that models this relationship

x y

0

1

3

4

7

[tex](\stackrel{x_1}{30}~,~\stackrel{y_1}{450})\hspace{10em} \stackrel{slope}{m} ~=~ - 25 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{450}=\stackrel{m}{- 25}(x-\stackrel{x_1}{30}) \\\\\\ y-450=-25x+750\implies \boxed{y=-25x+1200} \\\\\\ \stackrel{\textit{if x = 20, what's "y"?}}{y=-25(20)+1200}\implies \boxed{y=200}[/tex]

Answer:

118

Step-by-step explanation:

5y² + 10y - 2                               y = 4

5(4)² + 10(4) - 2

= 5(16) + 40 - 2

= 80 + 40 - 2

= 120 - 2

= 118

To find the value of the expression 5y^2 + 10y - 2 when y = 4, we can substitute y = 4 in the expression and simplify as follows:

5y^2 + 10y - 2, when y = 4

= 5(4)^2 + 10(4) - 2 [Substituting y = 4]

= 5(16) + 40 - 2

= 80 + 38

= 118

Therefore, the value of the expression 5y^2 + 10y - 2 when y = 4 is 118.

The amount of money that each student has saved is between $ 4418 and $ 4982

Given data ,

To find the margin of error, we need to use the formula:

Margin of error = z (standard deviation / square root of sample size)

where z is the z-score associated with the desired confidence level.

For a 95% confidence level, the z-score is 1.96

On simplifying , we get

Margin of error = 1.96 (1300 / √(84))

Margin of error ≈ 282.3

Therefore, we can say with 95% confidence that the true mean amount of money that each student has saved is between 4700 - 282 = 4418 dollars and 4700 + 282 = 4982 dollars

Hence , the margin of error is solved

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A) 122 degrees because it's an obtuse angle so the inner layer numbers is the ones you need to pick.

Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.

let's calculate the amounts to be exchanged for each type of bill:

P50-bills: (2/5) * P1,000 = P400

P100-bills: (1/2) * P1,000 = P500

Since these two amounts account for P900, the remaining amount will be P1,000 - P900 = P100, which will be exchanged for P20-bills.

Next, we will find the number of each type of bill:

P50-bills: P400 / P50 = 8

P100-bills: P500 / P100 = 5

P20-bills: P100 / P20 = 5

So, Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.

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Answer:

It is not specified in the question how many rolls of fabric Mary used, so we can't calculate the total length of the fabric she used.

The distance which the dog ran is equal to 75 meters.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Since this dog ran from one corner to the diagonally opposite corner, we can determine the distance which the dog ran by applying Pythagorean's theorem as follows;

x² + y² = z²

45² + 60² = z²

z² = 2,025 + 3600

z² = 5,625

z = √5,625

z = 75 meters.

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The investment will be worth approximately $633.96 in 20 years if it is invested at a rate of 5% per year and compounded quarterly.

The interest you earn on interest is known as compound interest. Simple maths can be used to demonstrate this: if you have $100 and it earns 5% interest annually, you will have $105 at the end of the first year.

We can use the compound interest formula to calculate the future value (A) of the investment:

[tex]A = P(1 + r/n)^{(n*t)[/tex]

where:

P = the principal amount (initial investment) = $300

r = the annual interest rate = 5% = 0.05 (decimal)

n = the number of times the interest is compounded per year = 4 (quarterly)

t = the number of years the money is invested for = 20

Plugging in the values, we get:

[tex]A = 300(1 + 0.05/4)^{(4*20)[/tex]

A = 300(1.0125)⁸⁰

A = 300(2.1134)

A = $633.96

Therefore, the investment will be worth approximately $633.96 in 20 years if it is invested at a rate of 5% per year and compounded quarterly.

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Answer: $810.45

Step-by-step explanation:

Answer:

The answer for y is

12.607m to 3SF

Step-by-step explanation:

tan0=x/AB

let AB be y

tan37°=9.5/y

tan37y=9.5

divide both sides by tan37

tan37y/tan37=9.5/tan37

y=12.607m to 3 significant figures

Answer:

A = (1/2)(3)(2/3) = 1 square foot

Answer:

To evaluate the function of f(x) for x=-2 we substitute-2 for x in the expression of the function

F(-2)= 20(-2)-4

F (-2)=-40 -4

F(-2) = -44

Therefore f(-2) = -44 when x= - 2

To evaluate the function f(x) for x =8 we substitute 8 for x in the express of the function

F(8)=20(8)-4

F(8) = 160-4

F(8)= 156

Therefore f(8) = 156 when x = 8

Answer: 4, 5, 6, and 7

Step-by-step explanation:

In mathematics, a function is a relationship between inputs where each input is related to exactly one output.

So for the answer choices to work, they cannot have any of the x values that are already included in the table.

That eliminates 1, 2, and 3 as their x values are already in the table.

So the answer is 4, 5, 6, and 7

The answer of the given question based on models are , Model 1 = e⁽⁽ˣ⁻³⁾/²⁾ , Model 2 = (x/3)³ - 4 , Model 3 =  (15x-y)/(y-5) .

An inverse function is a function that undoes the effect of another function. Specifically, if a function f maps an input value x to an output value y, then the inverse function f⁻¹ maps the output value y back to the original input value x. In other words, the inverse function "reverses" the mapping of the original function.

In each of these models, the inverse function f⁻¹(x) represents the input value (x) that would yield a particular output value (y) of the original function f(x).

In Model 1, the inverse function f⁻¹(x) is  e⁽⁽ˣ⁻³⁾/²⁾, which represents the number of hours required to produce a certain amount of fresh water. The inverse function allows us to determine how long it would take to produce a specific amount of fresh water, given the rate of production provided by the original function.

In Model 2, the inverse function f⁻¹(x) is (x/3)³ - 4, which represents the number of units of product A needed to generate a certain amount of profit. The cube root function is used to represent the relationship between the profit and the number of units sold. The inverse function allows us to determine how many units need to be sold to achieve a specific level of profit.

In Model 3, the inverse function f⁻¹(x) is (15x-y)/(y-5), where y represents the number of penguins. This function represents the number of years that have passed since 2012 to achieve a certain population of penguins. The rational function is used to represent the relationship between the population of penguins and the number of years that have passed. The inverse function allows us to determine how many years have passed to achieve a specific population of penguins.

Overall, the inverse function provides a way to determine the input value that corresponds to a particular output value of the original function. This information can be useful in understanding the behavior and relationships between variables in each of these models.

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