wats the answer to this

The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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Answer:

x > 1/5

Step-by-step explanation:

5 - 8x < 2x + 3

-8x < 2x -2

-8x -2x < -2

-10x < -2

x > 1/5

Using the model, Tyler's estimated race time after 12 months of practice is approximately 100.47 seconds. This time is faster than the qualifying time of 90 seconds, indicating that Tyler will qualify for the state swim competition.

Based on the given information, Tyler can estimate his race time for any event based on the number of months he has to practice and his current race time. The model can be represented by the equation:

Estimated race time = Current race time - (1.5% of current race time) * (Number of months over 12-month period)

The domain for this model would be:

To estimate if Tyler will qualify for the state competition, we can use the model with his current race time of 1 minute 42 seconds (102 seconds) and the qualifying time of 1 minute 30 seconds (90 seconds).

Since Tyler has 12 months to practice, we substitute the values into the equation:

Estimated race time = 102 - (0.015 * 102) * 12 = 102 - 1.53 = 100.47 seconds

The estimated race time is approximately 100.47 seconds. Since this time is faster than the qualifying time of 90 seconds, Tyler will qualify for the state swim competition.

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The probability that a committee of 6 people, consisting of 3 women and 3 men, is selected from a group of 10 women and 4 men can be calculated using the formula for combinations. The answer is approximately 0.209 or 20.9%.

To find the probability of selecting a committee consisting of 3 women and 3 men, we need to determine the total number of ways to choose 6 people from a group of 14 individuals, and then divide this by the number of ways to choose 3 women and 3 men from the respective groups.

The total number of ways to choose 6 people from a group of 14 is given by the combination formula C(14, 6), which is equal to 3003. The number of ways to choose 3 women from a group of 10 is C(10, 3), which is 120, and the number of ways to choose 3 men from a group of 4 is C(4, 3), which is 4.

Therefore, the total number of ways to choose 3 women and 3 men from the respective groups is the product of these two numbers, which is 480. The probability of selecting a committee consisting of 3 women and 3 men is the ratio of the number of ways to choose 3 women and 3 men from the respective groups to the total number of ways to choose 6 people from the entire group, which is 480/3003 = 0.159 or approximately 20.9%.

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The quadratic residues for the given integers are as follows: a) For the integer 3, the quadratic residues are 0 and 1.

b) For the integer 5, the quadratic residues are 0 and 1.

c) For the integer 13, the quadratic residues are 0, 1, 3, 4, 9, and 10.

d) For the integer 19, the quadratic residues are 0, 1, 4, 5, 6, 7, 9, 11, 16, and 17.

In number theory, a quadratic residue of an integer n is an integer x such that there exists an integer y satisfying x^2 ≡ y (mod n), where "≡" denotes congruence.

To find the quadratic residues of a given integer, we can calculate the square of each integer between 0 and n-1 (inclusive) and check if the result is congruent to a residue modulo n.

For example, let's consider the integer 13. We calculate the squares of integers from 0 to 12:

0^2 ≡ 0 (mod 13)

1^2 ≡ 1 (mod 13)

2^2 ≡ 4 (mod 13)

3^2 ≡ 9 (mod 13)

4^2 ≡ 3 (mod 13)

5^2 ≡ 12 (mod 13)

6^2 ≡ 10 (mod 13)

7^2 ≡ 10 (mod 13)

8^2 ≡ 12 (mod 13)

9^2 ≡ 3 (mod 13)

10^2 ≡ 9 (mod 13)

11^2 ≡ 4 (mod 13)

12^2 ≡ 1 (mod 13)

From these calculations, we can see that the quadratic residues of 13 are 0, 1, 3, 4, 9, and 10.

Similarly, we can apply this process to the other given integers (3, 5, and 19) to determine their quadratic residues.

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Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

x = 300

Answer:4.096E15

hope this helps :)

Answer:

\({ \tt{ {8000}^{4} = (8 \times 8 \times 8 \times 8) \times (1000 {}^{4}) }} \\ \\ = { \tt{(4096) \times(1 0{}^{11} ) }} \\ \\ = { \tt{4096 \times {10}^{11} }} \\ \\ { \tt{ = 4.096 \times {10}^{15} }}\)

The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= \(x^3}\)

Then,

\(x^{3}=1000\\ x=\sqrt[3]{1000}\)

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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Answer:

i think its

4× + 5y > = 85

Step-by-step explanation:

i hope im right or even close i tryed i should be right tho HAVE A NICE DAY!!

Since the triangles are similar thie means that:

Solving for x we have:

Therefore x=14

The given statement "let a be a 4 × 6 matrix, then the nullspace of a maybe spanned by only one vector." False. Because, by considering the nullspace of the given matrix has rank 4, its dimension is 6 - 4 = 2.

If and only if a 4 × 6 matrix has rank 5, which means it has just one linearly independent column or row, the nullspace of the matrix can be covered by a single vector. This is not necessarily true for a 4 × 6 matrix, though, as the nullspace could include several linearly independent vectors.

Example:- Take the following 4 × 6 matrix, for instance:

1 0 0 0 0 0

0 1 0 0 0 0

0 0 0 0 1 0

0 0 0 0 0 1

This matrix has rank 4, so its nullspace has dimension 6 - 4 = 2. Therefore, the nullspace cannot be spanned by only one vector.

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Question

True or false? Give a reason if true and a counterexample or explanation if false.

(a) Let A be a 4 x 6 matrix, then the null space of A may be spanned by only one vector.

Answer:

375

Step-by-step explanation:

150 x 2= 300 -Thats for the 20 minutes

And 150 divided by 2 = 75= Thats for the addtional 5 minutes

Answer:

tell the full question

Step-by-step explanation:

bro

Answer:

added or serving as a supplement.

Answer:

True

Explanation:

Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. ... A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Answer:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. so no

Step-by-step explanation:

A positive third charge can be placed at 0.55 m on the x-axis such that it experiences a net electric force equal to zero when the charges q1 and q2 are 0.50 nC and 10 nC respectively, and are separated by a distance of 3m. So, the correct answer is D).

Find the distance between the two charges

r = 3 m

Use Coulomb's law to find the force exerted by q1 on a positive charge q3 at a distance x from q1:

F1 = k * q1 * q3 / (x²)

Use Coulomb's law to find the force exerted by q2 on a positive charge q3 at a distance (r-x) from q2:

F2 = k * q2 * q3 / ((r-x)²)

Set the net force equal to zero

F1 + F2 = 0

Substitute the values for k, q1, q2, and r:

(9 x 10⁹) * (0.50 x 10⁻⁹) * q3 / x² + (9 x 10⁹) * (10 x 10⁻⁹) * q3 / (3-x)² = 0

Solve for x

(0.45 / x²) + (30 / (3-x)²) = 0

0.45(3-x)² + 30x² = 0

1.35 - 0.9x + 30x² = 0

30x² - 0.9x + 1.35 = 0

x = 0.019 m or x = 0.55 m

Since the problem asks for a point on the x-axis to the right of the two charges, the answer is x = 0.55 m. So, the correct option is D).

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--The given question is incomplete, the complete question is given below "  Two particles having charges of qı = 0.50 nC and q2 = 10 nC are separated by a distance of r = 3 m along the x- axis as shown in the figure below. At what point on the x-axis (pointing to the right) can a positive third charge be placed such that it experiences a net electric force on it equal to zero? Image size: s ML Max Select the correct answer Saved 1 of 3 attempts used CHECK ANSWER O 0.38m  O 0.19 m  O 0.14m O 0.55m o 1.50 m "--

Answer:

2 pounds

Step-by-step explanation:

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

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Answer: 30 small bags

Step-by-step explanation:

From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.

When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:

= 6514/214

= 30.43

= 30 small bags

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

2x(x + 4)

Step-by-step explanation:

The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:

2x(x + 4)

The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.

Here are the steps on how to factor out the GCF:

In this case, the factored expression is 2x(x + 4).

The answer is:

Work/explanation:

Let's find something that \(\sf{2x^2}\) and \(\sf{8x}\) have in common.

In other words, we find their GCF (greatest common factor).

The GCF of \(\sf{2x^2}\) and \(\sf{8x}\) is 2x.

So I factor it out :

\(\sf{2x(x+4)}\)

Answer: See equation

Step-by-step explanation:

Absolute value basically means the positive value of anything

Essentially, the absolute value of a negative number is the same number but positive, and the absolute value of a positive number is itself.

|-6|+|-10|=16

|number| is usually used to signify absolute value

If two variables are unrelated, you would expect a correlation of 0 between them. In other words, there is no relationship between the variables. The correct option is d.

The correlation coefficient measures the strength and direction of the relationship between two variables. It ranges from -1 to +1. A correlation coefficient of 0 indicates no relationship, while a coefficient of -1 or +1 indicates a perfect negative or positive relationship, respectively.

The Y-intercept (a/b0) in regression is best described as: The value we predict for Y when X is 0.

Option D, The value we predict for Y when X is 0 is the most accurate description of the Y-intercept in regression. The Y-intercept represents the value of the dependent variable when the independent variable is equal to 0.

It is the point where the regression line intercepts the Y-axis.The other options are incorrect because:

a) The change we predict in X when Y increases by 1 - This is the slope of the regression line

b) The change we predict in Y when X increases by 1 - This is also the slope of the regression line

c) The value we predict for X when Y is 0 - This is the X-intercept of the regression line.

The correct option is d.

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P(above average grades/boy) = P(above average grades). The correct option is B

The likelihood that a male will have grades above average is 23/37, or roughly 62%. 38/75, or almost 51%, of students are expected to have grades above average.

Statement A is untrue since the two probabilities do not equal one another. The probability of a guy having above-average grades is not the same as the probability of a student having above-average grades, hence Statement C is also untrue. Statement D is untrue since a boy's chance of being chosen is not the same as his chance of earning above-average grades.

Given that he was chosen, the likelihood of a boy obtaining above-average grades is the same as the likelihood that he will. This is so that the likelihood that a boy will have above-average grades is unaffected by the selecting procedure.

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There are 277,200 ways to select a committee of four Republicans, three Democrats, and two Independents from the given group.

To select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and 4 distinct Independents, you can use combinations.

For Republicans: C(10,4) = 10! / (4!(10-4)!) = 210 ways
For Democrats: C(12,3) = 12! / (3!(12-3)!) = 220 ways
For Independents: C(4,2) = 4! / (2!(4-2)!) = 6 ways

Now, multiply the combinations together to get the total ways:
210 (Republicans) × 220 (Democrats) × 6 (Independents) = 277,200 ways

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Independent samples,Random sampling,  Large sample size and Normal distribution these assumptions are met, you can confidently use the two-sample z-test for a difference in proportions.

In order to use the two-sample z-test for a difference in proportions, the following assumptions must be met:
1. Independent samples: The two samples must be independent of each other. This means that the observations in one sample should not affect the observations in the other sample.
2. Random sampling: The data in each sample should be collected through random sampling. This ensures that each individual in the population has an equal chance of being included in the sample.
3. Large sample size: The sample size of both samples should be large enough to meet the criteria of the Central Limit Theorem. A general guideline is that each sample should have at least 30 observations (n1 ≥ 30 and n2 ≥ 30).
4. Normal distribution: The sampling distribution of the difference in proportions should be approximately normally distributed. This is achieved when the sample sizes are large and the proportions are not too close to 0 or 1. You can check this using the following conditions:

n_1×p_1 > 5, n_1×(1-p_1) > 5, n_2×p_2 > 5, and n_2×(1-p_2) > 5.
If these assumptions are met, you can confidently use the two-sample z-test for a difference in proportions.

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Step-by-step explanation:

1)x=10/2=5

x=5

2)x=27/3=9

x=9