A point is plotted on the number line at 225 . A second point is plotted at −434 .

What is the length of a line segment joining these points?

Enter your answer as a simplified mixed number in the box.

ANSWER:_____ units?

Answer:

-19/10, -18/10, -17/10, -16/10

Step-by-step explanation:

Four Rational numbers between -2 and -1 are:-

-1.9,-1.8,-1.7,-1.6

=> -19/10, -18/10, -17/10, -16/10

Answer:

-1.72, -1.8, -11/8, -29/20.

Step-by-step explanation:

The numerical solution of Simpson's 1/3 rule for a single segment, according to the given formula, is: ∫[x₁,x₂] f(x) dx ≈ (x₂ - x₁) / 6 * (f(x₁) + 4f((x₁ + x₂) / 2) + f(x₂))

Simpson's 1/3 rule is a numerical integration technique used to approximate the definite integral of a function over a given interval. It is based on approximating the function by a quadratic polynomial within each subinterval and then integrating that polynomial exactly. The formula provided represents the Simpson's 1/3 rule for a single segment.

In this formula, x₁ and x₂ represent the endpoints of the segment over which we want to approximate the integral. f(x₁) and f(x₂) are the function values at these endpoints. The term (x₂ - x₁) / 6 represents the width of the segment divided by 6, which is a constant factor used in the approximation.

The main approximation step in Simpson's 1/3 rule is to evaluate the function at the midpoint of the segment, which is given by (x₁ + x₂) / 2. This is denoted as f((x₁ + x₂) / 2) in the formula. By using this midpoint, we consider the behavior of the function in the middle of the segment as well.

The formula then combines these function values at the endpoints and the midpoint, weighted by specific coefficients (1, 4, 1), to compute an approximation of the integral over the segment. The coefficients are chosen such that they yield an accurate approximation for certain types of functions.

The Simpson's 1/3 rule for a single segment uses the function values at the endpoints and the midpoint, along with appropriate coefficients, to estimate the integral. This approximation provides a reasonable balance between accuracy and simplicity for many functions.

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Answer:

D

Step-by-step explanation:

since 3.14^2=9.86 which is between 9 and 10

Answer:

RN=5

Step-by-step explanation:

QR is congruent to RN therefore they are the same length

m =8

hope it helps

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Answer:

20-6= 14

14 divided by 2 equals 7

he needs 7 more customers

Step-by-step explanation:

have a wonderful day! brainliest?

Answer:

B. (7)

Step-by-step explanation:

First, we figure out how many more items Joshua needs to sell so we do 20 - 6.

20 - 6 = 14.

Next, we do 14 / 2 because each customer buys 2 items.

14 / 2 = 7

Therefore, Joshua must have 7 additional customers to reach his goal.

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

The equation is y = 250(0.89)^x and the decay rate is 11%.

The initial value will be:

= 250(0.89)^x

= 250(0.89^0)

= 250

The decay rate will be:

= 1 - 0.89

= 0.11

= 11%

In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.

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The projection of vector a onto vector b is 2/3 i + 2/3 j + 2/3 k.

None of the given options in the choices match the correct projection.

To find the projection of vector a onto vector b, we can use the formula:

Projection of a onto b = (a · b) / |b|² * b

where (a · b) represents the dot product of vectors a and b, and |b|² is the squared magnitude of vector b.

Given:

a = i - j + 2k

b = i + j + k

First, let's calculate the dot product of a and b:

a · b = (i - j + 2k) · (i + j + k)

      = i · i + i · j + i · k - j · i - j · j - j · k + 2k · i + 2k · j + 2k · k

      = 1 + 0 + 0 - 0 - 1 - 0 + 0 + 2 + 4

      = 6

Next, let's calculate the squared magnitude of vector b:

|b|² = (i + j + k) · (i + j + k)

     = i · i + i · j + i · k + j · i + j · j + j · k + k · i + k · j + k · k

     = 1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 1

     = 3

Now, let's substitute these values into the formula for the projection:

Projection of a onto b = (a · b) / |b|² * b

                      = (6 / 3) * (i + j + k)

                      = 2 * (i + j + k)

                      = 2i + 2j + 2k

                      = 2/3 i + 2/3 j + 2/3 k

Therefore, the projection of vector a onto vector b is 2/3 i + 2/3 j + 2/3 k.

None of the given options in the choices match the correct projection.

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Power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x=1.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

The given equation: \(\left(x^2-2 x+26\right) y^{\prime \prime}+x y^{\prime}-4 y=0\)

It is necessary to determine the power series solutions' minimal radius of convergence R around the typical points x = 0 and x = 1.

The separation between the ordinary point and the differential equation's singularity is now the minimal radius of convergence.

The polynomial's root, which is connected to the second derivative, is the singularity point.

The singularity points will be determined as follows:

\(\begin{aligned}& x^2-2 x+26=0 \\& x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} \\& x=\frac{2 \pm \sqrt{(-2)^2-4 \times 1 \times 26}}{2} \\& x=1 \pm \sqrt{-100} \\& x=1 \pm 10 i\end{aligned}\)

In this case, x1 = 1+10i and x2 = 1-10i are the singularity sites.

The ordinary points at this time are z1 = 0+01 and z2 = 1+0i.

One can compute the minimum radius of convergence using the formula:

\(\begin{aligned}& r_1=\left|z_1-x_1\right| \\& =|0+0 i-1-10 i| \\& =\sqrt{101} \\& =10.0498 \\& r_2=\left|z_2-x_1\right| \\& =\sqrt{100} \\& =10\end{aligned}\)

Therefore, power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x = 1.

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Answer: A

Step-by-step explanation: took the test, got it right.

Answer:

0.5

Step-by-step explanation:

-1+3(10-12)^3/-16

-1+3(-2)^3/-16

-1+(-24)/-16

.5

Answer:

1:3.7

Step-by-step explanation:

1331/27

Then cube root

3.66666666667

Round

3.7

(i believe)

Answer:

Hope this helps in any way :)

7. 4 1/6 × 9/10 = 25/6 × 9/10 = 225/60 = 3 45/60 = 3 3/4 (simplified)

9. 5/7 × 4 3/8 = 5/7 × 35/8 = 175/56 = 3 7/56 = 3 1/8 (simplified)

11. 2 5/8 × 1/6 = 21/8 × 1/6 = 21/48 = 7/16 (simplified)

13. 1 3/5 × 3 2/3 = 8/5 × 11/3 = 88/15 = 5 13/15 (simplified)

15. 3 1/3 × 2 1/4 = 10/3 × 9/4 = 90/12 = 7 6/12 = 7 1/2 (simplified)

Step-by-step explanation:

1. Change the mixed numbers into improper fractions.

2. Multiply the improper fractions.

3. Convert the improper fraction answer into a mixed number answer.

4. Simplify if needed to.

5. Done!

The definition of SSS, SAS, and AAS congruency conditions is shown.

SSS condition:

In accordance with the SSS rule, two triangles are considered to be congruent if their corresponding three sides are equal on both triangles.

SAS condition:

The two triangles are congruent if two sides and the included angle of one triangle match those of a second triangle by two sides and the included angle.

AAS condition:

The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, the definition of SSS, SAS, and AAS congruency conditions is shown.

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86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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Susie should report $0 gross income on her tax return.

The true statement is (c) In 2021, the deduction for medical expenses cannot exceed a ceiling calculated as 10% of AGI for a taxpayer age 65 years or older.

For the first question about Susie's gross income, the discount she received on the landscaping services does not count as gross income.

The correct answer is (a) $0.

For the second question, to calculate the modified adjusted gross income (MAGI) of $37,600, we need more information about the taxpayer's specific deductions, exemptions, and adjustments.

Without that information, it is not possible to determine the exact amount of gross income.

Therefore, the answer cannot be determined from the given information.

Moving to the next question, the correct statement is (c) In 2021, the deduction for medical expenses cannot exceed a ceiling calculated as 10% of AGI for a taxpayer age 65 years or older.

This means that medical expenses for taxpayers under the age of 65 cannot exceed 7.5% of their AGI for 2021.

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Answer:

Perimeter: 14a+2b

Tickets:7x+6

Step-by-step explanation:

Perimeter: Add all the functions together

Tickets: Subtract 15x+1 by 8x-5.

Remember that the slope-intercept equation of the line is:

where 'm' is the slope and b is the y-intercept.

In this case, we have the following:

therefore,, the slope is m = 2

Answer:

\(x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4\)

Step-by-step explanation:

\(y = x^2-2x+5\\\\6=x^2-2x+5\\\\x^2-2x-1=0\\\\\\\frac{-b+-\sqrt{b^2-4ac} }{2a} = x\\a = 1, b = -2, c = -1\\\\\frac{2+-2\sqrt{2} }{2\\}\\\\x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4\)

The value of the x is -0.4 when y = 6 and the graph is drawn on the left.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The quadratic equation,

y = x² – 2x + 5

To find the value of x:

When y = 6.

So,

x² – 2x + 5 = 6

x² – 2x - 1 = 0

Comparing the quadratic equation with standard quadratic equation,

ax²+ bx +c = 0

We get,

a = 1, b = -2 and c = -1

So,

x = {-b ±√(b²-4ac)}/2a

Substituting the values,

x = (2±√8)/2

x = 1 ± √2

x = 2.41421 and x = −0.414214

And the graph is drawn on the left so x = −0.414214 = -0.4 to one decimal place.

Therefore, the value of the x is -0.4.

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The evidence shows that the tension over the loyalty oath generated a change in Papa's behavior and attitude towards the family. When the loyalty oath was introduced in the community, Papa was hesitant to sign it, and this caused tension between him and his family members who were in support of signing it.

However, as the pressure to sign the oath increased, Papa's resistance began to wane, and he started to consider signing it.
One of the main pieces of evidence that shows this change in Papa's behavior is his interactions with his family. Before the loyalty oath, Papa was always portrayed as the head of the family who made decisions and was respected by everyone. However, after the introduction of the loyalty oath, he became more isolated from his family members who had signed it. He also became more distant and less involved in family matters, suggesting that the tension over the loyalty oath had affected his relationship with his family.
Another piece of evidence that shows the change in Papa's behavior is his eventual decision to sign the loyalty oath. Even though he was initially hesitant, he eventually agreed to sign it, suggesting that the pressure to conform to societal expectations had influenced his decision-making process.

Overall, the tension over the loyalty oath generated a change in Papa's behavior and attitude towards his family. It caused him to become more isolated and distant from his family members, and eventually led to his decision to sign the loyalty oath.

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Answer:

x=63

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given

3 - 4x = - 60 + 3x ( subtract 3x from both sides )

3 - 7x = - 60 ( subtract 3 from both sides )

- 7x = - 63 ( divide both sides by - 7 )

x = 9

If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?

Answer:

58.5

Step-by-step explanation:

Split the figure into three shapes; square, trinagle, and rectangle.

Square is 3 ⋅ 3 = 9

Triangle's sides are 3 and 11 so...

(3 ⋅ 11)/2 = 16.5

Rectangle is 3 ⋅ 11 = 33

Once you have the area of all the figures, you just add them together so...

9 +16.5 + 33 = 58.5

Answer:

area of the figure= 58.3ft²

Step-by-step explanation:

area of the figure= area of trapezoid+ area of a rectangle

area of the figure= [½(a+b)*height]+ (length*breadth)

area of the figure= [½(3+14)*3]+ (11*3)

area of the figure=25.3+ 33

area of the figure= 58.3ft²

A data collection plan helps to answer the question "What data is needed?" as well as "Who will collect the data?" and "Should a population or sample be collected?"

Therefore, the correct option is d) All of the above.

A data collection plan is a system for collecting data in a structured and organized manner. It's critical to establish a data collection plan in order to have accurate data to use for research or other purposes. The plan outlines the methods for collecting data and ensures that the data is relevant, correct, and of high quality.

Data collection plan helps answer the following questions:

What data is needed?

What is the source of the data?

Who will collect the data?

How will the data be collected?

How will data quality be ensured?

What tools and technologies will be used to collect the data?

What is the target data set size?

What is the cost of collecting the data?

Should a population or sample be collected?

The data collection plan also ensures that data collection is ethical and legal, protects the privacy of study participants, and prevents data tampering or loss. Therefore, the data collection plan is critical for the success of a research study.

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Answer:

2.1

Step-by-step explanation:

sin 38° · x = 1.3

0.615661 x = 1.3

x = 1.3/0.615661

x = 2.11155

Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

Answer:

If the x is a multiplying sign then the answer is 6, but

if the x is the letter x then it will be x=4

Answer:

theres 8

Step-by-step explanation:

Answer:

46

Step-by-step explanation: Do 23x2

Answer:

46 inches and Audrey better be a dog

Step-by-step explanation: