A music club has 24 members. Each member pays monthly dues of $8.75. On the first day of the month, 16 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month?

The probability that Anita gets a purple tulip and Lois gets a pink rose is 1/9.

Total number of flowers in the bouquet = 7 purple tulips + 9 yellow daisies + 12 pink roses = 28 flowers.

P(Anita gets a purple tulip) = 7 purple tulips / 28 total flowers = 7/28 = 1/4.

P(Lois gets a pink rose) = 12 pink roses / 27 remaining flowers = 12/27 = 4/9.

P(Anita gets a purple tulip and Lois gets a pink rose) = P(Anita gets a purple tulip) * P(Lois gets a pink rose)

= (1/4) * (4/9) = 1/9.

Therefore, the probability that Anita gets a purple tulip and Lois gets a pink rose is 1/9.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

A and B only

Step-by-step explanation:

Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.

a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.

b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.

c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.

d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.

Answer:

2.6

Step-by-step explanation:

if u multiply 0.64 x 4 it would give you 2.6

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

So,

Here we have that:

This implies that:

Now, the x-intercept of a function is defined as all the values of x that makes y-axis or the function = 0.

So, given that g(5) = 0, notice that g(x)=0 when x=5. So, the value of an x-intercept of g is 5.

Answer:

D

Step-by-step explanation:

-3y=18

divide each side by -3

y=-6

I hope this is correct and have a great day

Answer:what makes the equation true -3 y = 18. A. y = 54 B. y = -54 C. y = 6 D y = -6​

Step-by-step explanation:

The area A(x) of the cross-section at location x for a=4 is given by A(x)=π(4-x)2, where x is the distance from the origin. This can be derived from the equation A(x)=π(a2-x2).

The area A(x) of the cross-section at location x for a=9 is given by A(x)= 3√3(9-x)2/4, where x is the distance from the origin. This can be derived from the equation A(x)=3√3(a2-x2)/4.

(iii). The volume of the solid described in (i) can be calculated using the equation V=∫A(x)dx, where A(x) is the area of the cross-section at location x, and the integral is taken from 0 to 4. Substituting A(x)=π(4-x)2, we have V=π∫(4-x)2dx, which gives V=π(16 - 8x + x3/3) evaluated from 0 to 4, or V=64π/3.

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

y=mx+b

y=1/3x-3.5

i think thats the answer not completely sure tho ik 1/3 is the slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

\(a =25; r = 5\)

Required

The first three terms

The nth term of a geometry progression is:

\(T_n =ar^{n-1\)

So, we have:

First term: \(n = 1\)

\(T_n =ar^{n-1\)

\(T_1 =25 * 5^{1-1\)

\(T_1 =25 * 5^0\)

\(T_1 =25 * 1\)

\(T_1 =25\)

Second term: \(n = 2\)

\(T_n =ar^{n-1\)

\(T_2 =25 * 5^{2-1\)

\(T_2 =25 * 5^{1\)

\(T_2 =25 * 5\)

\(T_2 =125\)

Third term: \(n = 3\)

\(T_n =ar^{n-1\)

\(T_3 =25 * 5^{3-1\)

\(T_3 =25 * 5^{2\)

\(T_3 =25 * 25\)

\(T_3 =625\)

Answer: 25,125,625

Step-by-step explanation:

edg 2

Answer:

Step-by-step explanation:

The decrease in value is ...

  15% of $233,000 = $34,950

The current house value is ...

  $233,000 -34,950 = $198,050

Answer:

15x-5y=1

Step-by-step explanation:

y-3x=-1/5

multiply each side by 5

5y-15x=-1

15x-5y=1

Based on the points of the line, and the fact it is parallel to the line, the equation can be found to be y = -5x - 7

When lines are parallel to each other, it means that they have the same slope. From the equation of the other line which is, y = −5x + 3, the slope is -5.

We can use this slope to find the y - intercept or b, on the other line because we have the slope (m) and the y and x values.

The value of b is:

y= mx + b

8 = -5 (-3) + b

b = 8 - 15

b = -7

The equation of the line is therefore:

y = -5x - 7

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Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Answer:

180

Step-by-step explanation:

IF  you

Answer:

38.465

i used 3.14 for pi

Step-by-step explanation:

Answer:

Hi

Please mark brainliest ❣️

Answer:

x=-7, y=9

Step-by-step explanation:

at x-axis y=0, x=-7

at y-axis x=0, y = 9

Answer:

Step-by-step explanation:

To calculate the amount of money Nathaniel needs to deposit today to fund this gift for his descendants, we can use the present value formula for a perpetuity:

Present Value = Annual Payment / Discount Rate

In this case, the annual payment is R380 000 and the discount rate (expected rate of return) is 6.45% in decimals, or 0.0645 as a fraction. So we can plug these values into the formula:

Present Value = R380 000 / 0.0645

This gives us a present value of approximately R5,899,225.68. Therefore, Nathaniel would need to deposit R5,899,225.68 today into the trust fund to provide R380 000 a year forever for his descendants, assuming a 6.45% expected rate of return.

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Answer: C

Step-by-step explanation:

The amount of money is 4000 was invested at 3%.

Let x be the amount of money invested at 3%.

Then, the amount of money invested at 5% is 6000 - x.

The interest earned on the amount invested at 3% is 0.03x.

The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.

The total interest earned is given as $220.

So, we can write the equation:

0.03x + (300 - 0.05x) = 220

Simplifying and solving for x, we get:

0.03x + 300 - 0.05x = 220

-0.02x + 300 = 220

-0.02x = -80

x = 4000

Therefore, $4000 was invested at 3%.

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When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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Answer: This is the answer. please give me the brainliest. Thanks

Answer:

B i worked it out in my head, sorry if i dont get it right

Carl needs 12 weeks to have 1260 dollars already having 900 dollars in his bank account.

Unitary method is a mathematical way of determining value of a single unit and then deriving the given units from it.

According to the given question Carl opened a bank account that does not earn interest with 900 dollars.

He deposits 30 dollars per week until it reaches to 1260 dollars.

The difference between 1260 and 900 dollars is (1260 - 900) dollars which is = 360 dollars.

He deposits 30 dollars per week, So number of week Carl needs is

= 360/30 weeks

= 12 weeks.

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Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.