Drag the similar figure into the table. Angle measures are rounded to the nearest integer.

Randy's error is in the first step of the division, where he subtracts 4x² instead of adding it. The correct subtraction should be: x³ + 2x² + 5x - 3

Randy made an error in the step where he subtracted (2x² - 2x + 1) from (2x² - 3x³ - 3x² + 7x - 3).

Instead of getting -x³ + 4x² + 6x - 4 as the result, he got 2x⁴ - 4x³ + 2x². This error occurred because he forgot to change the sign of all the terms in (x² - 2x + 1) when subtracting it from the polynomial.

It should be (3x³ - 2x² + 7x - 3) divided by (x² - 2x + 1).

Let me proceed with this corrected version of the question.

Randy divides (3x³ - 2x² + 7x - 3) by (x² - 2x + 1) as,
2x² + x + 3
____________
x² - 2x + 1) 3x³ - 2x² + 7x - 3
2x³ - 4x² + 2x
_____________
x³ - 2x² + 5x
x³ - 2x² + x
____________
-3x² + 4x - 3
-3x² + 6x - 3
___________
\(-2x^2\) + x - 3

3x³ - 2x² + 7x - 3
-(2x³ - 4x² + 2x)
______________
x³ + 2x² + 5x - 3

For more related questions on Randy's erro:

https://brainly.com/question/11536711

#SPJ11

Randy made an error while dividing (2x⁴ - 3x³ - 3x² + 7x - 3) by (x² - 2x + 1). He mistakenly subtracted intermediate results from zero instead of the original polynomial, leading to an incorrect division.

Randy made an error in his division of the polynomial (2x⁴ - 3x³ - 3x² + 7x - 3) by (x² - 2x + 1). Let's go through the division process step by step to identify the mistake:

Randy correctly started by dividing 2x⁴ by x², which gives him 2x² as the first term of the quotient.

He then multiplied (x² - 2x + 1) by 2x², which resulted in 2x⁴ - 4x³ + 2x². So far, so good.

Randy should have subtracted this result from the original polynomial (2x⁴ - 3x³ - 3x² + 7x - 3), but he mistakenly subtracted it from 0. The correct step should have been to subtract 2x⁴ - 4x³ + 2x² from (2x⁴ - 3x³ - 3x² + 7x - 3).

Here's the corrected division:

(2x⁴ - 3x³ - 3x² + 7x - 3) - (2x⁴ - 4x³ + 2x²) = -3x³ - 5x² + 7x - 3

Now, Randy should have continued the division by bringing down the next term, which is -3x², and repeated the process. However, he incorrectly moved to the next step without subtracting -3x³ - 5x² + 7x - 3 from (x² - 2x + 1).

So, Randy's error is that he failed to properly subtract the intermediate result from the original polynomial, causing the division process to go awry.

For more such information on: polynomial

https://brainly.com/question/1496352

#SPJ2

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  calcium level that is the borderline between low calcium levels and those not considered low is  \(c = 8.68\)

Step-by-step explanation:

From the question we are told that

    The mean is  \(\mu = 9.5\ mg/dL\)

     The standard deviation \(\sigma = 0.5 \ mg/dL\)

    The proportion of the population with low calcium level is  \(p =\)5% = 0.05

Let X be a X random calcium level

  Now the  P(X < c) = 0.05

Here P denotes probability

        c is population with calcium level at the borderline

  Since the calcium level is normally distributed the z-value is  evaluated as

    \(P(Z < \frac{c - \mu}{\sigma } ) = 0.05\)

The critical value for 0.05 from the standard normal distribution table is

       \(t_{0.05} = -1.645\)

=>    \(\frac{c - \mu}{\sigma } = -1.645\)

substituting values

       \(\frac{c - 9.5}{0.5 } = -1.645\)

=>    \(c - 9.5 = -0.8225\)

=>     \(c = 8.68\)

Answer:

y=123

Step-by-step explanation:

y-29=94

y-29+29=94+29

y+0=123

y=123

Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

Learn more about distance between a point and a line on:

https://brainly.com/question/18276750

#SPJ1

Answer:

9 is the correct answer

hope that it will help you

Answer:

10 commercials per hour

Step-by-step explanation:

Hope it helps!

Answer:

224

Step-by-step explanation:

the area of a circle is \(\pi\)\(r^{2}\), so for the circle plug in your numbers:

(3.14)(\(14^{2}\)) = 615.44

divide this by 4 because t=in the picture you only have a fourth of a circle:

615.44 / 4 = 153.86

the formula for area of a trapezoid is \(\frac{a + b}{2}\) × h

so plug in your values: \(\frac{14+14}{2}\) × 5

you get 70

add 70 and 153.22

70 + 153.22 = 223.22

this can round to 224

Answer:

1/64

Step-by-step explanation:

if f(x)=(1/4)^x, then F(3) is 1/64

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   \(10x^{2} - 200x = 1250\)

                         \(10x^{2} -200x - 1250 = 0\)

                           \(10(x^{2} -20x - 125)\\\) = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

Inverse of p—>q is ~p—>~q

Basically the third choice.

Inverse swaps the truth value of both statements.

Converse swaps the both of statements. (Ex. p—>q then converse would be q—>p)

Answer:

B

Step-by-step explanation:

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

To know more on Slope click:

https://brainly.com/question/29481191

#SPJ1

Answer:

your hourly pay is $19.07

Step-by-step explanation:

9% of 17.50 = 1.575

17.50 + 1.575 = 19.075

Answer:19.08

Step-by-step explanation: it’s $19.08 because 9% raise of $17.50 would be $19.08

Answer:

7

Step-by-step explanation:

I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min

Answer:

It depends is w is a negative or positive number

Step-by-step explanation:

5w could = 5 x 4 = 20 this is greater than -20

5w could = 5 x -4 = -20 this is equal to -20

hope this helps...

Answer:

-19 is the correct answer

The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

Learn more about triangle at:

https://brainly.com/question/17335144

#SPJ1

Answer:

no, because the angle measurements would have to be the same

Step-by-step explanation:

Triangle A: 30, 77, 73

Triangle B: 30, 83, 67

Answer:

24/4=6

Step-by-step explanation:

In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.

HTH :)

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

To know more about binary class, refer: https://brainly.com/question/15683492

#SPJ4

Answer:

\( \frac{1}{5} + z = \frac{3}{5} \)

Answer:

1/5+z=3/5

Step-by-step explanation:

Step-by-step explanation:

125cm = 1.25m.

2m : 1.25m = 8:5

Answer:

The 6 names to circle are:

The underlined letters from those circled names are:

The letters form the phrase \(\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}\)  or "wrong turn". The spacing is done like that in the first version to show the various subgroups of letters.

Unfortunately the mentioned riddle at the bottom is cut off, so I don't know what the riddle is.

======================================================

Explanation:

Here's a summary table:

\(\begin{array}{|c|c|} \cline{1-2}\text{Student} & \text{Are They Correct?}\\\cline{1-2}\text{Laverna} & \textbf{Yes}\\\cline{1-2}\text{Alfonso} & \textbf{Yes}\\\cline{1-2}\text{Autumn} & \textbf{Yes}\\\cline{1-2}\text{Willa} & \text{No}\\\cline{1-2}\text{Ignacio} & \textbf{Yes}\\\cline{1-2}\text{Napoleon} & \text{No}\\\cline{1-2}\text{Kathyrn} & \textbf{Yes}\\\cline{1-2}\text{Titus} & \text{No}\\\cline{1-2}\text{Lawrence} & \textbf{Yes}\\\cline{1-2}\end{array}\)

Put another way, here are the people to circle (i.e. the people who made true statements):

In the order presented above, the letters underlined are:

Through a bit of trial and error, the letters make the phrase of:

\(\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}\)

I'm not sure what to do with the extra "RN". It might be a typo, or it might be the case your teacher wants you to ignore repeats like this.

Answer:

45 divided by $3.05= 14.75

14.75 + 2.5 gallons = 17.25 gallons

Approximate volume gas tank will hold is 17 gallons.

Step-by-step explanation:

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

Answer:

24

Step-by-step explanation:

the question translates to asking how many times does 7/8 fit in 21, so 21 divided by 7/8.

when we divide by a fraction, we can multiply by it's inverse, so 21 divided by 7/8, is 21 multiplied by 8/7. so:

21×8/7 = (21×8)/7 = (21/7)×8 = 3×8 = 24

Answer:

It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 ÷ 4 = 1.25

The number of laps per minute is 1.25 laps.

Given that, time = 4 minutes and the number of laps = 5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Therefore, the number of laps per minute is 1.25 laps.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ3

Answer:

more info please!!!

Step-by-step explanation: