If Patriciana has 4 more dimes than nickels and they have a combined value of 100 cents, how many of each coin does she have?

Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3(\(1^{2}\)) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

Answer:

x =37/96 or x = 0.385416

Step-by-step explanation:

12 (16x - 6) = 2

6 (16x - 6) = 1

96x - 36 = 1

96x = 1 + 36

96x = 37

We are given two recursive sequences:

a1=1, an=an-1+n

a1=4, an=4⋅an-1

To express these sequences using set-builder notation, we can first generate terms of the sequence up to a certain value of n, and then write them in set notation. For example, if we want to write the first 5 terms of the first sequence, we have:

a1 = 1

a2 = a1 + 2 = 3

a3 = a2 + 3 = 6

a4 = a3 + 4 = 10

a5 = a4 + 5 = 15

In set-builder notation, we can express the sequence {a_n} as:

{a_n | a_1 = 1, a_n = a_{n-1} + n, n ≥ 2}

Similarly, for the second sequence, the first 5 terms are:

a1 = 4

a2 = 4a1 = 16

a3 = 4a2 = 64

a4 = 4a3 = 256

a5 = 4a4 = 1024

And the sequence can be expressed as:

{a_n | a_1 = 4, a_n = 4a_{n-1}, n ≥ 2}

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Answer:

Well you could think positive:

1: He will come back

2: He will be happy to see you

3: He deserves a good vacation after teaching

5: Think that you are happy that he is not leaving forever

If I would ever really like a teacher and he would be my favorite I would cry as well even if he left for 5 months only. it is okay to cry as well and think of your teacher and keep a smile on your heart. =)

Step-by-step explanation:

Answer:

2 is corresponding angles

3 is alternate interior angles

4 is sum of angles

Answer:

B! 7+11= 18

Step-by-step explanation:

Answer:

answer: a

Step-by-step explanation:

lll71.75 ......

lol.

Answer:

xy^6z

Step-by-step explanation:

By applying mathematical induction, we can establish the validity of the recursive formula and the summation formulas for all positive integers n.

For the first part, to find a formula for a recursive definition, we can use the given conditions: a_n = (1/(n-1))(n+1)a_(n-1) for n > 1 and a_1 = 1. By recursively applying this formula, we can determine the value of a_n for any positive integer n.

For the second part, to prove the summation formula \(∑(k=1 to n) (k-1)^3 = (4n^2(n-1)^2)/6\), we can use mathematical induction. We establish the base case for n=1, where the formula holds true, and then assume the formula holds for some positive integer k. By using this assumption and the induction hypothesis, we can prove that the formula holds for k+1 as well.

The third part of the question involves proving the inequality \(∑(k=1 to n) k^2 ≥ (2/3) - (n+1)/2.\) We again use mathematical induction by establishing the base case for n=1, where the inequality holds true, and assuming it holds for some positive integer k. By using this assumption and the induction hypothesis, we can prove that the inequality holds for k+1 as well.

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the three other consecutive odd integer solutions are:

(2 + √137), (4 + √137), (6 + √137) and (2 - √137), (4 - √137), (6 - √137)

Let's represent the three consecutive odd integers as x, x+2, and x+4.

According to the given conditions, we have the following equation:

(x+4)^2 = x^2 + (x+2)^2 - 153

Expanding and simplifying the equation:

x^2 + 8x + 16 = x^2 + x^2 + 4x + 4 - 153

x^2 - 4x - 133 = 0

To solve this quadratic equation, we can use factoring or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values a = 1, b = -4, and c = -133, we get:

x = (-(-4) ± √((-4)^2 - 4(1)(-133))) / (2(1))

x = (4 ± √(16 + 532)) / 2

x = (4 ± √548) / 2

x = (4 ± 2√137) / 2

x = 2 ± √137

So, the two possible values for x are 2 + √137 and 2 - √137.

The three consecutive odd integers can be obtained by adding 2 to each value of x:

1) x = 2 + √137: The integers are (2 + √137), (4 + √137), (6 + √137)

2) x = 2 - √137: The integers are (2 - √137), (4 - √137), (6 - √137)

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Answer:

This is the answer

please give me a nice rating

The prooof that the parallelograms ABCD and FBCE are congruent is shown below

Given that

AE || BC, AB || DC and BF || CE

The above means that the above segments are parallel segments

Parallel sides of a parallelogram are equal

This means that

AB = DC and BF = CE

In quadrilateral FBCE, we have

FE = BC

In quadrilateral ABCD, we have

AD = BC

By substitution property, we have

AD = BC = FE

We have proved that two corresponding sides of the two parallelograms are congruent

This means that, the other sides must also be congruent

So, we have

AB = BF = DC = CE

Hence, the parallelograms are congruent

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STEP - BY - STEP EXPLANATION

What to find?

The z- score of 72

Given:

mean (μ) = 65

standard deviation (σ) = 13

x = 72

Step 1

Recall the z- score formula.

Step 2

Substitute the values into the formula and simplify.

ANSWER

0.54

The distance that the bus travels between Hawkes Meadow and Brunswick Street is; 7.3 km

The formula for distance here is;

Total distance = Speed * Time

Now, we are given the speed as 29 km/hour

Now, we want to find the total distance between Hawkes Meadow and Brunswick Street.

The time between Hawkes Meadow and Brunswick Street from the attached table is 14:40 - 14:25 = 15 minutes.

Converting to hours = 15/60 = 1/4 hours

Thus;

Total distance = 29 * 1/4 ≈ 7.3 km

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The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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Answer:

1/5 = 20%

Step-by-step explanation:

Let x be the percentage.

\(\frac{1}{5} * \frac{x}{100}\)

100 = 5x    Cross multiply

x = 20%

Hope this helps!

Answer: 20%

Step-by-step explanation:  1/5=0.2     0.2x100=20    20%

The postulate does not have a corresponding statement in spherical geometry due to the different geometric properties of the two systems.

In plane Euclidean geometry, the postulate states that perpendicular lines form four 90° angles. In spherical geometry, there is no corresponding statement to this postulate. Spherical geometry is based on the surface of a sphere, where lines are great circles. In this geometry, perpendicular lines do not exist. The reason for this is that on a sphere, all lines eventually meet at the poles, forming angles greater than 90°. Hence, the concept of perpendicular lines forming four 90° angles does not apply in spherical geometry. This explanation provides an overview of the differences between perpendicular lines in plane Euclidean geometry and spherical geometry.

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Answer: Don't cry please you'll be okay.

Step-by-step explanation:

The percentage of the sugar in the concentration is 28.57%.

Percentage is defined as the parts of a number per fraction of 100.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. It is usually denoted by the symbol '%'.

Given that,

A syrup is made of 10 kg of water and 4 kg of sugar.

Weight of water = 10 kg

Weight of sugar = 4 kg

Total weight of the mixture = 14 kg

Fractional content of sugar = 4 / 14 = 0.2857

Percentage of sugar in the concentration = 0.2857 × 100 = 28.57%

Hence 28.57% of sugar is in the concentration.

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Answer:

B. 21

Step-by-step explanation:

I just got it correct on edge 2021.

Also:

12 x 2 = 42

42 - 7 = 35

35 + 21 = 56

Answer:

21

Step-by-step explanation:

Yes. There is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

To test the claim, we need to use a hypothesis test with the null hypothesis being that the percentage of men who use exercise to relieve stress is 15% and the alternative hypothesis being that it is not 15%. Using the given information, we can calculate the sample proportion to be 0.12. Then, using a normal approximation to the binomial distribution with a standard error of sqrt(0.15*0.85/100) = 0.0387, we can calculate the test statistic to be (0.12 - 0.15)/0.0387 = -0.773.

Using a significance level of 0.10, the critical value for a two-tailed test is ±1.645. Since the test statistic is not less than -1.645 or greater than 1.645, we fail to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

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We know that Paige mows 1/8 acre in 1/4 hour

We know that there are 60 minutes in an hour

We know that 1/4 of an hour is 15 minutes

W can divide 60 by 15 to find out how many times Paige can mow 1/8 acres of land in an hour.

\(60/15=4\)

She can mow 1/8 acres of land 4 times in an hour. All we need to do now is multiply 1/8 by 4 to find the total amount of acres she can mow in an hour.

\(\frac{1}{8} *4=\frac{1}{2}\)

Paige can mow 1/2 acre of land per hour

Answer: 50 is added each time

Answer:

arithmetic or geometric

and 50 are added each time.

Step-by-step explanation:

Answer:

  maybe

Step-by-step explanation:

Dora is apparently assuming the dimensions are integers. In that case she is correct.

If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

For some perimeter P and side length x, the area is ...

  A = x(P/2 -x)

Conversely, the perimeter for a given area is ...

  P = 2(A/x +x)

This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

Answer:

10 1/2

Step-by-step explanation:

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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In the pic. Hope this helps. Have a good day! Pls give brainliest if possible.

Answer:

- 1210

Step-by-step explanation:

According to BODMAS / PEMDAS rule, we will do multiplication first and then subtraction . So -23 * 56 = -1288 and then the subtraction , 78 + (-1288) =78-1288= -1210

The fraction should be -1210 / 1

Answer:

actaully its 1/4

Step-by-step explanation:

Answer:

$70.76 or 70.7595

Step-by-step explanation:

Here’s the function:

67.39(1+0.05)^1

Hope this helps! ;-)

Answer:

The first one

Step-by-step explanation: