Error Analysis You and a friend are doing math homework together. You have to solve the equation 5x + 4x - 68 = 34 - 8x. Your friend arrives at the incorrect answer x = -2. Find the correct value of x. Then find the error your friend possibly made. X x=0 What possible error could your friend have made to get x = -2? OA. Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side. OB. Your friend should have added 8x to each side of the equation, but instead subtracted 8x from the left side. OC. Your friend should have added 5x and 4x to get a sum of 9x, but instead got a sum of 8x. ​

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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The total cost of the television with sales tax included is $ 845.81

What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

11800

Step-by-step explanation:

hope this helps

Answer:

(-∞, -4]

Step-by-step explanation:

4x - 1 < -15

4x < -14

x < -14/4

x < -7/2

So the solution to the inequality is x < -7/2. This means that all integer values of x that make the inequality true are the integers less than -7/2. In interval notation, we can write this as:

(-∞, -4]

Answer: [-∞, -4]

Step-by-step explanation:

Given inequality

4x - 1 < -15

Add 1 on both sides

4x - 1 + 1 < -15 + 1

4x < -14

Divide 4 on both sides

4x / 4 < -14 / 4

x < -3.5

Since, -3.5 is not an integer and the interval needs to be less than -3.5.

The closest integer that is less than -3.5 is -4.

Therefore, all integers [-∞, -4] fulfill this inequality.

Hope this helps!! :)

Please let me know if you have any questions

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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Answer:

The percentage rate of change of a function f(t) is given by:

(Δf / f) x 100

where Δf is the change in f and f is the original value of the function.

To find the largest value of t such that the percentage rate of change equals 100, we need to find the value of t for which:

(Δf / f) x 100 = 100

Simplifying, we get:

Δf / f = 1

This means that the change in f is equal to the original value of f.

So, we need to solve the equation:

f(t + Δt) - f(t) = f(t)

where Δt is the change in t.

Substituting the given function, we get:

[1 - 2(t + Δt) + 4(t + Δt)^2] - [1 - 2t + 4t^2] = 1 - 2t + 4t^2

Simplifying, we get:

-8tΔt + 8Δt^2 = 1

Since we are interested in the largest value of t, we can assume that Δt is a small positive number, such that Δt << t.

Ignoring the term Δt^2, we get:

-8tΔt = 1

Solving for Δt, we get:

Δt = -1 / (8t)

Substituting this value of Δt back into the equation -8tΔt + 8Δt^2 = 1, we get:

-8t(-1 / (8t)) + 8(-1 / (8t))^2 = 1

Simplifying, we get:

1 / t^2 = 1

Solving for t, we get:

t = 1

Therefore, the largest value of t such that the percentage rate of change equals 100 is t = 1.

Answer:

f(x) =  -2 log3x - 3.

Step-by-step explanation:

f(x) = log3x

Reflecting over x axis makes it  f(x) = f(x) = -log3x

Vertical stretch gives -2 log3x

Finally moving the graph down 3 units gives  -2 log3x - 3.

The cost function is minimized when the predicted values are as close as possible to the actual values, which is achieved by finding the optimal values of the parameters θ.

What is the least squares cost function?

The least squares cost function for linear regression is used to measure the difference between the predicted values and the actual values of the target variable. It is defined as the sum of the squared differences between the predicted values and the actual values.

The compact form of the cost function is given by:

J(θ) = (1/2m) * Σ(i=1 to m) (hθ(x^i) - y^i)^2

where:

hθ(x^i) is the predicted value of the target variable for the ith sample, given by the hypothesis function hθ(x^i) = θ^T * x^i

y^i is the actual value of the target variable for the ith sample

θ is the vector of parameters for the linear regression model

m is the number of samples in the dataset

Hence, The cost function is minimized when the predicted values are as close as possible to the actual values, which is achieved by finding the optimal values of the parameters θ.

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Total area painted is 313.5 ft² and the total number of CANS needed is 5.

A quadrilateral with just one pair of sides that are parallel. It is used in numerous fields and is a common shape in mathematics. A trapezoid's area is determined by multiplying the height by half of the sum of the two bases' lengths.

A trapezoid is a quadrilateral or a four-sided polygon that has one sets of equal sides. In North America, it is also known as a trapezoid. A trapezium's other two sides are usually not parallel and may be different lengths.

We know that the deck is in trapezium figure, So the

Area of trapezium = 1/2 (sum of parallel line) × height

Area of trapezium = 1/2 ( 14 + 24 ) × 16.5

Area of trapezium = 313.5 ft²

Therefore, total area painted = 313.5 ft²

Total number of CANS needed =  total area /one can of paint covers

Total number of CANS needed = 313.5/72 = 4.35 = 5 cans needed

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Complete question and its diagram-

no

it doesn't start at (0,0)

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

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The graphs and their equations are:

The three lines are linear equations, because they are all straight lines.

Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope

Next, we rewrite the equations in slope-intercept form.

So, we have:

\(3x - 12y = -60\)

Divide through by -12

\(-0.25x +y = 5\)

Make y the subject

\(y = 0.25x + 5\)

\(6x - 2y = -10\)

Divide through by 2

\(3x - y = -5\)

Make y the subject

\(y = 3x + 5\)

\(9x - 9y = -45\)

Divide through by -9

\(-x + y = 5\)

Make y the subject

\(y = x + 5\)

Line 1 has the highest slope, while line 3 has the least slope.

So, we have the following equations:

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Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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The number gives the exact value of one and seven thirtieths is (c) One and twenty three hundredths with the three repeating

The number is given as:

One and seven thirtieths

This can be represented as:

One + seven thirtieths

Express seven thirtieths as 7/30

One + 7/30

Express One as 1

1 + 7/30

Evaluate the quotient 7/30

1 + 0.2333

Evaluate the sum

1.2333

This can be rewritten as:

One and twenty three hundredths with the three repeating

Hence, the number gives the exact value of one and seven thirtieths is (c) One and twenty three hundredths with the three repeating

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Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

The question is missing some parts. Here is the complete question.

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let \(\mu_{1}\) be the true mean repair cost for type I ovens and \(\mu_{2}\) be the true mean repair cost for type II ovens.

Step 1 of 4: State null and alternative hypothesis for the test.

Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.

Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)

Answer and Step-by-step explanation:

First, state null and alternative hypothesis:

\(H_{0}: \mu_{1}=\mu_{2}\)

\(H_{a}: \mu_{1}>\mu_{2}\)

Use z-statistics:

\(z = \frac{x_{1}-x_{2}}{y}\)

where x₁ and x₂ are the means and:

\(y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }\)

Calculating value of test stattistic:

\(y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }\)

\(y = \sqrt{9.030+5.046}\)

\(y = \sqrt{14.076}\)

y = 3.752

\(z = \frac{79.6-75.25}{3.752}\)

z = 1.16

The test statistics is z = 1.16

The decision rule for rejecting null hypothesis is: \(\alpha\) ≤ test statistics

Using z-score table, it is possible to determine p-value, which is:

p-value = 0.877

Comparing p-value with level of significance (α = 0.05):

0.877 > 0.05

Therefore, we fail to reject the null hypothesis.

Answer:

I'm not sure but...

Step-by-step explanation:

If I were you I would divide 48 by 14. And see how that leads out...I'm sorry if that will not help you...

Answer:

Not a function

Step-by-step explanation:

If you were to graph it, these would fail the vertical line test.

Answer:

Step-by-step explanation:

your answers  for 1. would be B. and E. and number 2 doesnt

have a table sorry

Answer:

14

Explanation: 2/9x 63= 2x 63/9= 2x7

Answer:

14

Step-by-step explanation:

i believe so....

Answer:

9x

Step-by-step explanation:

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Eric needs 212 apples to give two each to all the students in his math classes.

The problem states that Eric needs enough apples to give two each to all the students in his math classes.

To find the total number of apples needed, we need to find the total number of students across all the classes and then multiply that by 2 (since each student is receiving 2 apples).

To find the total number of apples Eric needs, we need to first calculate the total number of students he has:

Adding up the number of students in each class, we get:

26 (basic math) + 43 (intermediate math) + 37 (advanced math) = 106 students

To find the total number of apples needed, we multiply the total number of students by 2:

Total number of students = 26 + 43 + 37 = 106

Eric needs enough apples to give two to each student, so we need to multiply the total number of students by 2:

Total number of apples = 106 x 2 = 212

106 students x 2 apples/student = 212 apples

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Answer:

D

Step-by-step explanation:

I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:

D and C

Step-by-step explanation:

We are doing the elimination method. We are subtracting so we can eliminate the x variable
 x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3

Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.

x - 3 = 2.

Add 3 on both sides and you get
x = 5

Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!