please help question is in the images below

Answer:

Step-by-step explanation:

A is correct.  csc x = 1/ sin x

B is correct. y = sin x is a continuous funtion, for all real numbers, x

C is correct. The function y = sin x is a periodic function, and the cycle repeats every 2 radians (or 360°).

D is incorrect. It doesn't actually say anything false, but it does not accurately describe the behavior of the sine function. Look at the graphic I have attached. If you start at the origin, you see y = 0, then increases to 1 when x = π/2, then decreases back to zero when x = π, then decreases even more to -1 when x = 3π/2, then increases back up to zero when x = 2π.

Answer D leaves out the underlined part.

Hope this helps.

The incorrect statement is D because the location is not given.

It is a function that repeats itself in a particular time interval.

The sine function is the reciprocal function is cosecant.

The domain of the sine function is a real number.

The sine function cycle repeats every n radians.

Then the incorrect statement is D because the location is not given.

The graph is given below.

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Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

I think 30 degrees

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

I need brainliest please

Step-by-step explanation:

4x + 2y + 1 = 0

y = x² + X - 7

4x + 2(x² + X - 7) + 1 = 0

4x + 2x² + 2x -14 + 1 = 0

2x² + 6x - 13 = 0

you can finish up with your almighty formula

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

c 57

Step-by-step explanation:

the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

0.0482

Step-by-step explanation:

Given the following :

Probability of success : p(success) = 0.25

Number of trials = 800

X = number of successes

Calculate P(X > 220)

The problem above can be solved using the binomial probability formula:

P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)

To save computation time, we coild use the online binomial probability calculator :

P(X > 220) = 0.0482

The binomcdf function of a graphing calcukatur can also be used :

1 - binomcdf(800, 0.25, 220)

1 - (0.95177363855) = 0.04822

Answer:

8. 162.11 in²

9. 499.2 km²

Step-by-step explanation:

Total Surface Area or TSA of cone = πr(r + l)

where r is radius and l is slanted height.

For question 8.

diameter=8in

radius(r)=diameter/2=8/2=4

slanted height(l)=8.9 in

Now

substituting value of r and l in formula:

Total Surface Area of cone = π*4(4+8.9)=162.11 in²

For question 9.

diameter=14 km

radius(r)=diameter/2=14/2=7

slanted height(l)=15.7 in

Now

substituting value of r and l in formula:

Total Surface Area of cone = π*7(7+15.7)=499.20 km²

Answer:

8)  162.11 in²

9)  499.20 km²

Step-by-step explanation:

We need to find the surface area of the cones given their base diameter and slant height.

The formula for the surface area of a cone is:

\(\boxed{S.A.=\pi r(r+s)}\)

where:

\(\hrulefill\)

The diameter of a circle is twice its radius.

Given the diameter of the circular base is 8 in, its radius is r = 4 in.

Therefore:

To calculate the surface area of the cone, substitute these values into the formula:

\(\begin{aligned}\textsf{Surface area}&=4\pi (4+8.9)\\&=4\pi(12.9)\\&=51.6\pi\\&=162.1061809...\\&=162.11\; \sf in^2\end{aligned}\)

Therefore, the surface area of the cone is 162.11 in², rounded to the nearest hundredth.

\(\hrulefill\)

The diameter of a circle is twice its radius.

Given the diameter of the circular base is 14 km, its radius is r = 7 km.

Therefore:

To calculate the surface area of the cone, substitute these values into the formula:

\(\begin{aligned}\textsf{Surface area}&=7\pi (7+15.7)\\&=7\pi(22.7)\\&=158.9\pi\\&=499.1990726...\\&=499.20\; \sf km^2\end{aligned}\)

Therefore, the surface area of the cone is 499.20 km², rounded to the nearest hundredth.

Using proportions, it is found that he bikes:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:

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Answer:

answer

A) 11.7²+X.6²

B) 7²+10² 0²

Answer:

Graph D

Step-by-step explanation:

Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.

The graph D shows the point R(0, 4).

Given are four graphs we need to determine which graph shows the point R(0, 4),

A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.

The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.

Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.

Hence the graph D shows the point R(0, 4).

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To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.

Answer:

Step-by-step explanation:

y= -5x/2+1

A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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Answer:

Step-by-step explanation:

45

Answer:

x=−3.207703,−1.142291,2.183328

Step-by-step explanation:

x−6x3−13x2+34x+48=0

−6x3−13x2+35x+48=0

1. Use cubic formula.

x=−3.207703,−1.142291,2.183328

Answer:

105

Step-by-step explanation:

Answer:

I think 105 and it is this because it is correct try the answer. ✅

The number of minutes when they would both paint the same strip of wood is 8 minutes.

The linear equation that represents the total strip of wood that is painted by Henry is: amount of strips already painted + (strips painted per minute x minute)

14 + (3½x m)

14 + 3½m

The linear equation that represents the total strip of wood that is painted by Sandy is: amount of strips already painted + (strips painted per minute x minute)

10 + (4 x m)

10 + 4m

When both people paint the same strip of wood, the two above equations would be equal.

10 + 4m  = 14 + 14 +3½m

4m - 3½m = 14 - 10

0.5m = 4

m = 4 / 0,5 = 8

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Answer:

the answer would be 133200 dollars

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

\(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

\(\implies 16^2+2^2=c^2\)

\(\implies 256+4=c^2\)

\(\implies c^2=260\)

\(\implies c=\sqrt{260}\)

\(\implies c=2\sqrt{65}\)

\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)

16.1 is rounded to the nearest tenth

Given :

There are 23 red shirts and 16 white shirts they will be put onto shelves in piles of 8.

To Find :

How many shirts will not fit evenly into 8 piles.

Solution :

We need to find the number of shirts which will not fit evenly into 8 piles.

What we need is the remainder of 23 divided by 8.

23 = 8×2 + 7

So, their are 7 shirts which will not fit evenly.

Hence, this is the required solution.

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

\(y=3x^2-18x+17\)

Add 10 to both sides:

\(y+10=3x^2-18x+27\)

Factor RHS:

\(y+10=3(x^2-6x+9)\)

\(y+10=3(x-3)^2\)

Subtract 10 from both sides:

\(y=3(x-3)^2-10\)

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = \(\sf{\frac{-b}{2a}}\)

\(\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}\)

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

Hope this helps!

Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters