Can you help me please? This is die soon.

Answer:

  1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

The relation between sine and cosine is the identity ...

  sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

  sin(x) = √(1 -cos(x)²)

For the present case, using the given cosine value, we find ...

  sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

  sin(x) = 1/2

__

Additional comment

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

  sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

this is a question of set of equations and solution is as follows,

Williamston Daily newspaper started printing newspaper.

Three years ago they had 5900 subscribers.

every month there is an increase of 66 new subscribers.

n is the number of months the paper has been printed.

so, the linear model will be  

B= early subscriber + number of month × increments

B= 5900 + n × 66

B= 66 n + 5900

Example - subscribers after 3 months,

n = 3

= 66 x 3 +5900

= 198 + 5900

= 6000

set of equations

A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Linear equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

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The polynomial

f(x) =2ˣ² - 5x + 3

zeroes of the polynomial f(x)= 2x² - 5x + 3

By factorizing we have ,

→ 2x² - 5x + 3

→2x² -2x - 3x + 3

→2x(x-1)-3(x-1)

→(2x-3)(x-1)

Now the zeroes are

→ 2x - 3 = 0 and → x - 1 = 0

→ x = 3/2 and → x = 1

Verification of relation

Sum of the zeroes = -b/a

⇒ 3/2 + 1 = -(-5/2)

⇒ (3+2)/2 = 5/2

⇒ 5/2 = 5/2

Product of the zeroes = c/a

⇒ 3/2×1 = 3/2

⇒ 3/2 = 3/2

Verified

I hope it will help you.

Regards.

Step-by-step explanation:

I am not sure I can read the original expression right, the picture is too blurry for the small digits.

is it 3^(5/5) ?

or rather 3^(5/6) ?

in any case, you should know that a number written like this always has the structure

a^(b/c)

so,

a = 3

b = 5 (or whatever is the numerator or top of the fraction)

c = 5 (or whatever is the denominator or bottom of the fraction).

the denominator of a fraction in an exponent gives us the grade of root to be taken.

the numerator gives us the power of the base number.

and if the exponent is negative it would mean that the whole thing is a 1/... fraction.

like 3^-2 means 1/3².

Answer:

Step-by-step explanation:

that options given seem wrong but what do i know thats just difficult dude im just in the 4th grade

Answer:

4th option

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject, that is

y = 4x ( divide both sides by 4 )

\(\frac{1}{4}\) y = x

Change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = h(x) = \(\frac{1}{4}\) x

Given:-

Rosie collects magnets from every new place she visits. In the past few years, she has collected 27 magnets. This summer she collected more magnets while on her vacation.

To find which expressions below represent the number of magnets that Rosie has now.

Rosie already had 27 magnets and now she got extra magnets. Let the extra magnet be y. so we get,

So the required solution is,

Answer:

A) \(5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5}\) (Yes. It has a value between zero and one.)

B) \(\frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147\) (No. It does not have a value between zero and one.)

C) \(\left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}\). (Yes. It has a value between zero and one.)

D) \(\frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49}\) (Yes. It has a value between zero and one.)

Answer:

see below

Step-by-step explanation:

A.  5^3 * 5^-4 = 1/5

It has value between  0 and 1

B. 3^5 / 3^-6 = 177147

It doesn't have a value between 0 and 1

C. (1/4)^3 * (1/4)^2 = 1 / 1024

It has value between  0 and 1

D. (-7)^5 / (-7)^7 = 1/49

It has value between  0 and 1

Answer:

y= -7/9 x+70

Step-by-step explanation:

28x+36y=2520

36y=-28x+2520

y= -7/9 x+70

Step-by-step explanation:

To find the percentage increase, we use the following formula:

percentage increase = (new value - old value) / old value * 100%

In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:

percentage increase = (86 - 25) / 25 * 100% = 244%

Therefore, the percentage increase from 25 to 86 is approximately 244%.

Answer:

244% increase

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

.............................

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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The lateral surface area of the triangular prism container is 270 cm².

We will begin with the calculation of perimeter of equilateral triangle.

Perimeter = 3 × sides

Perimeter = 3 × 6

Perimeter = 18 cm

Now calculating the lateral surface = perimeter of base × height

Keep the values in formula

Lateral surface of equilateral triangle prism = 18 × 15

Performing multiplication again

Lateral surface area = 270 cm²

Thus, the lateral surface area of the container is 270 cm².

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The picture is added of equilateral triangle with dimensions.

The function g(x) = (x - 5)² has a translation of 5 units to the right.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over x-axis, (-x, y).

-f(x) = Reflection over y-axis, (x, -y).

The parent function is a quadratic f(x) = x².

Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.

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Answer:

The answer to this question is 65

Answer:

65°

Step-by-step explanation:

180-50

=130

130/2

=65°

the other side is also 65 ° because this is an isosceles triangle.

The relationship between two variables is measured by their strength and direction using a coefficient. A score of 0 indicates a very adverse association. It is safe to assume that the anticipated number will be close to the value as a result.

When attempting to construct a correlation concerning data, lines of best fit are utilized. These correlations can be favorable (uphill), unfavorable (downhill), or not at all (points are scattered).

Based on a line of best fit, correlation coefficients will vary from -1 to +1, with -1 denoting a wholly negative association and +1 denoting a fully positive one.

The absence of a relationship would be indicated by an association value of 0. You cannot be certain that the data have a very close relationship if the correlation coefficient of the data is zero, which is nearest to 0 on a number line.

Since 0 is a strong regression coefficient, we may be sure that the projected value will be accurate.

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Answer:

\(\frac{3}{5}\) or 0.6

Step-by-step explanation:

Given:

Number of yellow tickets = 5

Number of green tickets = 5

Total number of tickets = 5 + 5 = 10

Required:

Find the probability that a randomly picked ticket is green or has a number greater than 4

Use the formula:

P = probability of green tickets + probability of yellow tickets with numbers greater than 4

Yellow tickets with numbers greater than 4 = 1 ticket

Probability of picking a green ticket = \( \frac{5}{10} = \frac{1}{2} \)

Probability of picking a yellow ticket with number greater than 4 = \(\frac{1}{10}\)

Therefore, probability that a randomly picked ticket is green or has a number greater than 4

= \(\frac{1}{2} + \frac{1}{10} = \frac{6}{10}\)

\(= \frac{3}{5}\)

Probability that a randomly picked ticket is green or has a number greater than 4 = \(\frac{3}{5}\) or 0.6

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

To show that the closed subset A of a locally compact space (X, T) with the relative topology is locally compact, we need to prove two things: that A is locally compact and that it has the relative topology.

Let's break down the proof into two parts:

Part 1: A is locally compact
To show that A is locally compact, we need to prove that for every point x in A, there exists a compact neighborhood of x in A.

Since A is a closed subset of X, its complement X \ A is open in X. By the local compactness of X, for each x in A, there exists a compact neighborhood N of x in X. We can choose N such that N ∩ (X \ A) = ∅, i.e., N is disjoint from the complement of A.

Now, consider the intersection of A with N, denoted as N' = N ∩ A. Since N is compact and A is closed, the intersection N' = N ∩ A is closed in N. Moreover, since N is disjoint from X \ A, N' = N ∩ A is also disjoint from (X \ A) ∩ N, which is the complement of N' in N.

Therefore, N' is a compact neighborhood of x in A. Hence, A is locally compact.

Part 2: A has the relative topology
The relative topology on A is obtained by considering the subset A together with the open sets of X that intersect A. We need to show that the relative topology on A is the same as the topology induced by A as a locally compact space.

Let B be an open set in the relative topology on A. By definition, B = U ∩ A, where U is an open set in X.

We claim that U is also an open set in X with respect to the original topology T. Since X \ A is closed, its complement A = X \ (X \ A) is open. Therefore, U = U ∩ X = (U ∩ A) ∪ (U ∩ (X \ A)) = B ∪ (U ∩ (X \ A)), where B is open in A and U ∩ (X \ A) is open in X \ A. Thus, U is a union of two open sets in X, making it open.

Now, let's consider the topology induced by A as a locally compact space. In this topology, a set C is open in A if and only if C = V ∩ A, where V is an open set in A as a locally compact space.

Since V is open in A as a locally compact space, there exists a compact set K in A such that V contains an open set W in A, i.e., V = W ∪ (K ∩ A). Therefore, V = (W ∪ (K ∩ A)) ∩ A = (W ∩ A) ∪ ((K ∩ A) ∩ A) = W ∩ A.

As a result, the relative topology on A is the same as the topology induced by A as a locally compact space.

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

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(a) The linear equation that models the depreciated value of the truck is V = -2000t + 25000. (b) The rate of depreciation is -2000. This means that the value of the truck decreases by $2000 per year.

To model the depreciated value of the truck over time, a linear equation can be used.

The rate of depreciation can be calculated by finding the difference in value per year.

(a) To find the linear equation that models the depreciated value of the truck over time, we can use the concept of straight-line depreciation.

The equation takes the form of a line: V = mt + b, where V represents the value of the truck at time t, m is the slope of the line (rate of depreciation), and b is the initial value of the truck.

Given that the truck was purchased for $25,000 and will be worth $15,000 after 5 years, we can set up two points on the line: (0, 25000) and (5, 15000).

Using these points, we can find the slope (m) of the line.

Using the formula for slope, m = (y2 - y1) / (x2 - x1), we get:

m = (15000 - 25000) / (5 - 0) = -10000 / 5 = -2000

Now we can substitute the slope and one of the points into the linear equation. Let's use the point (0, 25000):

V = -2000t + b

Substituting the values, we get:

25000 = -2000(0) + b

b = 25000

Therefore, the linear equation that models the depreciated value of the truck is V = -2000t + 25000.

(b) The rate of depreciation is the slope of the line, which we found to be -2000.

This means that the value of the truck decreases by $2000 per year.

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Answer: I III and IV

Step-by-step explanation:

The line intersects the x axis at (2,0) and the y axis at (0,-4) so the line goes through quadrants 1 3 and 4 so the answer is the middle or the 3rd from top

The null hypothesis (H0) states that the average bowling score (μ) is greater than or equal to 168 points, while the alternative hypothesis (Ha) states that the average bowling score is less than 168 points.

To test this hypothesis, Jamie uses a significance level of 1%. The sample data consists of 17 games, with a mean score of 155 points and a standard deviation of 19 points.

To perform the hypothesis test, Jamie can use a one-sample t-test because the population standard deviation is unknown. The test statistic can be calculated as (sample mean - hypothesized mean) / (sample standard deviation / √sample size).

Substituting the given values, the test statistic is (-13) / (19 / √17) ≈ -3.02.

With 16 degrees of freedom (sample size - 1), Jamie can compare this test statistic to the critical t-value at a 1% significance level. If the test statistic falls within the critical region, Jamie can reject the null hypothesis and conclude that her bowling score is significantly less than 168 points on average.

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Allison and Leslie will become millionaires at different ages based on their investment contributions and returns. Allison chose the Safety First Bond, but without specific information on returns, we cannot determine the exact ages.

The key information missing from the question is the rate of return for the Safety First Bond and the expected returns for stocks. Without this information, it is not possible to calculate the exact ages at which Allison and Leslie will become millionaires. However, we can discuss the rationality of Allison's choice to invest in the bond fund rather than stocks.

It is generally known that high expected returns in the stock market are accompanied by a higher level of risk. On the other hand, bond investments are often considered safer but offer lower returns. If Allison has a lower tolerance for risk compared to Leslie, it would be rational for her to choose the bond fund over stocks. However, if Allison has a higher tolerance for risk, it would be irrational for her to choose the bond fund since stocks have the potential for higher returns.

In conclusion, without the necessary information on returns, we cannot determine the exact ages at which Allison and Leslie will become millionaires. However, Allison's choice to invest in the bond fund can be considered rational if she has a lower tolerance for risk compared to Leslie.

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Answer:

Y=3

Step-by-step explanation:

Put in x=-1

y-3 = 2(-1+1)

y-3 = 2(0)

y-3=0

add 3 more to both sides

y-3+3 = 0+3

y =3

(Don't forget Brainliyest)

Answer:

\( \sf \: y = 3\)

Step-by-step explanation:

Now we have to,

→ Find the required value of y.

We have to use,

→ x = -1

The equation is,

→ y - 3 = 2(x + 1)

Then the value of y will be,

→ y - 3 = 2(x + 1)

→ y = 2(x + 1) + 3

→ y = 2((-1) + 1) + 3

→ y = 2(0) + 3

→ y = 0 + 3

→ [ y = 3 ]

Hence, the value of y is 3.

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:1: the total number of tickets sold are 196. im able to do this by adding 64 to 132. then i used calculator to divide 1040 by 64 to get $16.25per adult ticket. then i divided it in half and got around $8 per student ticket.

Step-by-step explanation:

there are 18 students in the yearbook  club and 46 in the filmmaking club

The total cost price, including tax and tip, will be $30.96.

An expression expressed as a percentage of 100 is referred to as a percentage. The percent symbol, "%," is widely used to denote it even if the abbreviations "pct," "pct," and rarely "pc" are also employed. A% has no dimensions and no corresponding unit of measurement.

Given that: Sara bought a $24 meal in a town with a 9% sales tax. she tips 20% on the bill, and then adds the sales tax

To figure out the tip, you need to find 20% of $24

0.2×24=4.8

You should leave $4.8 for the tip if you want to leave him exactly 20%.

To figure the tax, you need to find 9% of $24

0.09×24=2.16

Next, add them up:

24+4.8+2.16=30.96

The total cost price, including tax and tip, will be $30.96.

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