The drama club has to pay their yearly membership fee of $25. There are seventy-two


members


in the drama club, as of Friday a third of the members still have not paid their fees. How much


in yearly membership fees has the drama club collected?


Record your answer and fill in the bubbles on your answer document. Be sure to use the correct


place value.

Answer:

Option (4)

Step-by-step explanation:

Option (1)

f(x) = 4x⁴- 7x²+ x + 25

Possible rational roots will be,

\(\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}\)

For the given function,

Possible rational roots = \(\frac{\pm 1, 5, 25}{\pm 1,2}\)

                                      = \(\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (2)

f(x) = 9x⁴- 7x²+ x + 10

Possible rational roots = \(\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (3)

f(x) = 10x⁴- 7x²+ x + 9

Possible rational roots = \(\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}\)

Therefore, \(-\frac{2}{5}\) is not the possible root.

Option (4)

f(x) = 25x⁴- 7x²+ x + 4

Possible rational roots = \(\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}\)

                                      = \(\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}\)

Therefore, \(-\frac{2}{5}\) is the possible rational root.

Option (4) will be the answer.

Answer:

\(r^2=2r\sin\theta+7\)

Step-by-step explanation:

Recall that \(r^2=x^2+y^2\) and \(y=r\sin\theta\):

\(x^2+y^2-2y=7\\r^2-2r\sin\theta=7\\r^2=7+2r\sin\theta\)

Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

Answer:

Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x

Answer:

40 乘以 2，答案是 80，所以我猜是 209/5。

我不太确定，但是...

希望有帮助

! :)

Answer:

The answer is 209/5=41.8

Step-by-step explanation:

40 2/5= 40.4

436/11=39.63...

209/5=41.8

201/5=40.2

40 1/4=40.25

Answer:

A.

P(x ≥ 722) = 1 - P(x < 722)

where P is the probability of a pea having a red flower, x is the number of peas with red flowers, and 1 - P(x < 722) represents the probability of getting 722 or more peas with red flowers.

Using the binomial probability formula, we get:

P(x ≥ 722) = 1 - P(x < 722)

= 1 - Σ (nCx)(P^x)(1-P)^(n-x), where n = 927, P = 3/4, and x ranges from 0 to 721.

P(x < 722) = 0.00019032

P(x ≥ 722) = 1 - P(x < 722) = 1 - 0.00019032 = 0.99980968 (rounded to 5 decimal places).

So the probability of getting 722 or more peas with red flowers is approximately 0.9998 or 99.98%.

B.

To determine if 722 peas with red flowers is significantly high, we need to perform a hypothesis test. The null hypothesis (H0) is that the true probability of a pea having a red flower is 3/4, while the alternative hypothesis (Ha) is that the true probability is greater than 3/4.

We can use a one-tailed z-test to test this hypothesis, where the test statistic is given by:

z = (x - μ) / (σ / sqrt(n)), where x = 722, μ = np = 927 * 3/4 = 695.25, σ = sqrt(np(1-p)) = sqrt(927 * 3/4 * 1/4) = 11.15 (rounded to 2 decimal places), and n = 927.

Substituting the values, we get:

z = (722 - 695.25) / (11.15 / sqrt(927))

z = 6.43 (rounded to 2 decimal places)

we find that the p-value (the probability of getting a test statistic as extreme or more extreme than 6.43) is very small, approximately 0. Therefore, we can reject the null hypothesis at the 5% level of significance and conclude that the true probability of a pea having a red flower is significantly higher than 3/4.

C.

Given that the observed proportion of peas with red flowers (722/927 = 0.779) is much greater than the predicted proportion (3/4 = 0.75), it appears that the scientist's assumption that 3/4 of peas will have red flowers is incorrect. The peas' blossom color may be influenced by various elements, including genetic variation and environmental influences.

Answer:

next to or adjoining something else.

Step-by-step explanation:

Answer:

lying near, close, or contiguous

Step-by-step explanation:

Answer:

I think it is C.

Step-by-step explanation:

Have a good day. :-)

The expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

For given question,

We have been given a statement 'x to the power of 3 times x to the power of 3 times x to the power of 3 '

We can write above statement in expression form as,

x³ × x³ × x³

Now, we simplify above expression.

We know that the product rule of exponents states that, 'To multiply expressions with the same base, add the exponents while keeping the base the same.'

So, x³ × x³ × x³ = \(x^{3+3+3}\)

⇒  x³ × x³ × x³ = \(x^{9}\)                    ....................................(1)

Also, we have been given a statement that 'x to the power of 3 times 3 times 3'

We can write above statement in expression form as,

\(x^{3\times 3\times 3}\)

Now we simplify above expression.

By power of a product rule of exponents,

\(x^{3\times 3\times 3}=x^{27}\)                           .....................................(2)

From (1) and (2),

x³ × x³ × x³ ≠ \(x^{3\times 3\times 3}\)

Therefore, the expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

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Some of the groups of cards that have the same sum are:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

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

Numbers: 8 7 6 2 1 3.​

In the above group of numbers, we have

Highest = 8

Least = 1

When these are added, we have

8 + 1 = 9

Another set of numbers that have a sum of 9 is (7, 2)

There are several other numbers that can be created

Some of these numbers are

And several others

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The binary expansion of 25 is 11001. When writing in descending order, it becomes \(1 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0\), which can be simplified to 16 + 8 + 1, giving the final answer of 25.
The binary expansion of the number 25. The binary expansion of a decimal number is the representation of that number using a base-2 numeral system, which only uses 0 and 1.

The binary expansion of 25 in descending order is:

\(25 = 2^4 * 1 + 2^3 * 1 + 2^2 * 0 + 2^1 * 0 + 2^0 * 1\)

In binary notation, this is written as 11001.

the binary representation of 25. A base-2 numeral system, which solely includes the digits 0 and 1, is used to represent a decimal number's binary expansion.

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Answer:

c) x = 1 ± i √29 / 5​

Step-by-step explanation:

assuming we are solving for x we can use the quadratic formula

quadratic formula : \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

where the values of a,b and c are derived from the equation

the equation is put in quadratic form : ax² + bx + c

so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6

we then plug these values of a, b and c into the quadratic formula

recall quadratic formula \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

a = 5 , b = - 2 , c = 6

\(\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out

\(\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

evaluate exponent

\(\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}\)

multiply -4(5)(6)

\(\frac{2+or-\sqrt{4-120} }{2(5)}\)

subtract 120 from 4

\(\frac{2+or-\sqrt{-116} }{2(5)}\)

multiply 2 and 5

\(\frac{2+or-\sqrt{-116} }{10}\)

because we cant have a negative square root we replace the negative sign with i (which equals -1 )  and add it to the outside of the square root

\(\frac{2+or-i\sqrt{116} }{10}\)

we then simplify  the radical

\(\frac{2+or-2i\sqrt{29} }{10}\)

we then simplify the fraction

2/10 = 1/5 so both 2's cancel out

\(\frac{1+or-i\sqrt{29} }{10}\)

the answer is C

The value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

To evaluate the line integral:

\(\int C x^2/y^{(4/3)} ds\)

C is the curve given by x = t² and y = t^3, and ds is the element of arc length along the curve.

We can parameterize the curve as:

r(t) = (t², t³), 1 ≤ t ≤ ∛2

Then the tangent vector to the curve is:

r'(t) = (2t, 3t²)

The length of the tangent vector is:

|r'(t)| = √(4t² + 9t⁴ = t√(4 + 9t²)

So, the element of arc length ds is:

ds = |r'(t)| dt = t√(4 + 9t²) dt

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

=\(\int(1 to 3\sqrt 2) (t^4)/(t^{(8/3)}) (t\sqrt{(4 + 9t^2)}) dt\)

= \(\int (1 to 3\sqrt 2) t^{(2/3)}\sqrt (4 + 9t^2) dt\)

To evaluate this integral, we can make the substitution u = 4 + 9t²:

u = 4 + 9t²

du/dt = 18t

dt = du/(18t)

The limits of integration become:

u(1) = 13

u(∛2) = 49

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

= \((1/18) \int (13 to 49) u^{(1/2)} du\)

=\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

So, the value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

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We select every fifth invoice in a file is systematic sampling.

'What is systemic sampling?'

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be utilized to make inferences about your community of interest if the population order is random or random-looking (for example, alphabetical).

Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out. Similar to basic random sampling, systematic sampling can be used using a list of every member of the population. Contrary to simple random sampling, however, you can also utilize this strategy if you don't have access to a list of your population in advance.

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Since the train uses 15 litres to travel 50,

18 litres would be 50÷15 the answer multiplied by 18.

Solution

50÷15= 3.333

3.333×18= 60

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

15 - 7x  = 9

   4

-7x = 9(4) - 15

x = 21/-7

x = -3

proof:

15 - 7(-3)  = 9

   4

add the equation in. this helps because i have the same question:

h=-16t^2+150

Step-by-step explanation:

this is just the equation , when copying and pasting sometimes it doesnt put all the symbols.

Answer:

\(x=-8\)

Step-by-step explanation:

\(\frac{x}2} -x=\frac{x}{4} +6\)

Let's begin by getting rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators 2 & 4 (4).

\(4(\frac{x}2} -x)=4(\frac{x}{4} +6)\)

Distribute:

\(\frac{4x}{2} -4x=\frac{4x}{4} +24\)

Simplify:

\(2x-4x=x+24\)

Combine like terms:

\(-2x=x+24\)

Subtract \(x\) from both sides of the equation:

\(-3x=24\)

Divide both sides of the equation by the coefficient of \(x\), which is \(-3\):

\(x=-\frac{24}{3}\)

Simplify:

\(x=-8\)

Answer:

4=$17.60

1=$17.60/4

1=$4.40

Step-by-step explanation:

Answer:

4y^2-24y+36

Step-by-step explanation:

Expand the expression to simplify, which you do by using the FOIL method, then combining like terms.

(a-b)(a-b) = a^2 - 2ab + b^2

(2y-6)^2

= (2y-6)(2y-6)

= 4y^2 - 12y + 36

The number of places you put the lens to form a well-focused image of the candle flame on the wall is either we have to move the screen towards the lens or the lens towards the screen.

Here we have given that the lens to form a well-focused image of the candle flame on the wall.

As we all know that if the candle is further from the wall than the focal length of the lens, then there are two places which will result in an image. Here we have know that one of them is just beyond the focal length from the wall.

Here we have given the other is that same distance from the candle.

Then the position near the wall will yield a small image.

Here the position near the candle will produce a large image.

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If a data set has an outlier, the median would be the best measure of central tendency to use as it is less sensitive to extreme values compared to the mean.

The presence of an outlier can heavily skew the mean in the direction of the outlier, causing it to become an inaccurate representation of the center of the data. On the other side, the median is less sensitive to extreme values and represents the middle value of the dataset. It is calculated by finding the middle value in a dataset after arranging it in numerical order.

Therefore using the median as the measure of central tendency in a dataset with an outlier can provide a better indication of the typical value compared to the mean.

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Answer:

y=-5x+14

Step-by-step explanation:

x-5y=9

x-9=5y

y=\(\frac{1}{5}\)x-\(\frac{9}{5}\)

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14

Answer:

x= 1 (any number greater than -10)

Step-by-step explanation:

">" this sign shows that any number greater than -10 can be x. There is no specific answer.

Answer:

The solution set of an inequality is < (less than) or > (greater than) to compare two or more numbers. Example 12 > - 10.

Step-by-step explanation:

When comparing two numbers, like 5 and 8, you probably recognize that the number 5 is less than the number 8. You probably also realize that the number 8 is greater than the number 5. In math, we use the inequality symbols < and > to compare two or more numbers.

Answer:

B. logarithms of negative number don't exist

Answer:

B. logarithms of negative number

Step-by-step explanation:

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.