Angle DGC measures 76 degrees. (a) What is the measure of Angle AGC? (b) What is the measure of Angle BGC?

Answer:

Step-by-step explanation:

So bascially decay means shrinks or shrivels. Growth means like growing, bigger, sort of like a happy plant :D.

To find if this is getting bigger or is shrinking, lets plug in something simple like 1 for the time(t). Sooo:

20,000*.88^1

Since its a 1 exponent it does nothing so:

20,000*.88

Now this is 17600 you can use calculator but if you do this in head like me all I did is multiply 88 by 2 which was simply since 8 times 2 is 16 so 160+16 is 176 then I added zeros:

y=17600

As we can see this is smaller than 20,000, so it is a decaying problem.

By what percent tho.

Well this is pretty easy to reconize once you understand where to find it.

When they talk about percentage, they mean how much it decreased by.

This is 100%-the multiplyied value.

In this case the multiplyed value is 0.88, sooo:

100%-88%=18%

So the percent amount that the value decreased by is 18%.

Hope this helps!

Answer:

Lawrence was incorrect.

Step-by-step explanation:

Amy: 2(3x) +2(4x + 3)

= 14x + 6 ✓

Kaye: 3x + 3x + 4x + 3 + 4x + 3

= 14x + 6 ✓

Lawrence: 4(3x) + 2(4x)

= 20x Ø

Sufjan: 6 + 3x + 3x + 4x + 4x

14x + 6 ✓

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Answer:

c

Step-by-step explanation:

Given direct variation between y and t , then the equation relating them is

y = kt ← k is the constant of variation

To find k use the condition y = 27 when t = 4 , then

27 = 4k ( divide both sides by 4 )

6.75 = k

y = 6.75t ← equation of variation

When t = 12 , then

y = 6.75 × 12 = 81

The write-off of the receivable from Madonna Inc. is a necessary adjustment to ensure the accuracy of Marin Co.'s financial statements. Without it, the company's accounts receivable would be overstated and their financial statements would not provide an accurate portrayal of the company's financial position.

At the end of 2024, Marin Co. had accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. On January 24th, 2025, it was determined that the company's receivable from Madonna Inc. was not collectible and management authorized a write-off of $4,147. This action reduces the accounts receivable balance by $4,147, and reduces the allowance for doubtful accounts by the same amount. The net effect on the balance sheet is a reduction of $4,147 in both accounts receivable and allowance for doubtful accounts.

The impact of the write-off on the company's financial statements is a decrease in net income for the period. This is because a write-off is recognized as an expense, which reduces the amount of net income reported in the period. The amount of the write-off is recorded as an expense on the income statement. In this case, the amount of the write-off is $4,147.

The journal entry to record the write-off would be: Accounts Receivable 4,147; Allowance for Doubtful Accounts 4,147. This entry reduces the accounts receivable and allowance for doubtful accounts by $4,147. The write-off of $4,147 is recorded as an expense on the income statement, and this reduces the net income reported for the period.

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By simple algebra, Jane is 57 9/20 inches taller.

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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The derivative of y = (5x6 − 3x4 + 2x2 − 1)(4x9 + 3x7 − 5x2 + 4x) is (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4).

Using the product rule of differentiation, we have:

y' = (5x^6 - 3x^4 + 2x^2 - 1)'(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(4x^9 + 3x^7 - 5x^2 + 4x)'

Taking the derivative of the first term using the power rule, we get:

(5x^6 - 3x^4 + 2x^2 - 1)' = 30x^5 - 12x^3 + 4x

Taking the derivative of the second term using the product rule, we get:

(4x^9 + 3x^7 - 5x^2 + 4x)' = 36x^8 + 21x^6 - 10x + 4

Therefore, we have:

y' = (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4)

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Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

Answer:

3,2 i think but I could be wrong

Step-by-step explanation:

The equation of the hyperbola that satisfies the given conditions is x^2 / 4 - y^2 / 16 = 1. This equation represents a hyperbola with its center at the origin (0, 0), foci at (0, ±8), and vertices at (0, ±2).

To find the equation of a hyperbola given its foci and vertices, we can start by determining the key properties of the hyperbola. The foci and vertices provide important information about the shape and orientation of the hyperbola.

Given:

Foci: (0, ±8)

Vertices: (0, ±2)

Center:

The center of the hyperbola is located at the midpoint between the foci. In this case, the y-coordinate of the center is the average of the y-coordinates of the foci, which is (8 + (-8))/2 = 0. The x-coordinate of the center is 0 since it lies on the y-axis. Therefore, the center of the hyperbola is (0, 0).

Transverse axis:

The transverse axis is the segment connecting the vertices. In this case, the vertices lie on the y-axis, so the transverse axis is vertical.

Distance between the center and the foci:

The distance between the center and each focus is given by the value c, which represents the distance between the center and either focus. In this case, c = 8.

Distance between the center and the vertices:

The distance between the center and each vertex is given by the value a, which represents half the length of the transverse axis. In this case, a = 2.

Equation form:

The equation of a hyperbola with the center at (h, k) is given by the formula:

((x - h)^2 / a^2) - ((y - k)^2 / b^2) = 1

Using the information we have gathered, we can now write the equation of the hyperbola:

((x - 0)^2 / 2^2) - ((y - 0)^2 / b^2) = 1

Simplifying the equation, we have:

x^2 / 4 - y^2 / b^2 = 1

To find the value of b, we can use the distance between the center and the vertices. In this case, the distance is 2a, which is 2 * 2 = 4. Since b represents the distance between the center and either vertex, we have b = 4.

Substituting the value of b into the equation, we get:

x^2 / 4 - y^2 / 16 = 1

Therefore, the equation of the hyperbola that satisfies the given conditions is:

x^2 / 4 - y^2 / 16 = 1

This equation represents a hyperbola with its center at the origin (0, 0), foci at (0, ±8), and vertices at (0, ±2).

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SOLUTION:

Case: Quadratic Application Word Problem

Given:

Required:

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. What is Jason’s initial height?

Method:

Step 1: How long did it take for Jason to reach his maximum height?

To calculate this, we find the vertex

From here, the vertex is at (1/2, 484).

Hence it takes 1/2 a second to reach the maximum height

Step 2: What was the highest point that Jason reached?

Also, from the vertex, we get the highest height reached

The maximum height reached was 484 feet

Step 3: What is Jason’s initial height?

The initial height is gotten at the start of the motion, i.e. h(0) = ?

Hence the initial height was 480 feet

Final answer:

A) Time = 1/2 second

B) Maximum Height, H= 484 feet

C) Initial Height, H= 480 feet

The gates diagram for the expression "(x AND y) NAND (w OR z)" consists of an AND gate, an OR gate, and a NAND gate. The inputs x, y, w, and z are connected to these gates, and the output is represented by O.

Here is the gate diagram for the expression "(x AND y) NAND (w OR z)":

  x       y         w       z

  │       │         │       │

  └───────┼─────────┼───────┘

          │         │

        ┌─┴─┐     ┌─┴─┐

        │AND│     │OR │

        └─┬─┘     └─┬─┘

          │         │

         ┌┴┐       ┌┴┐

         │NAND│    │NAND│

         └┬┘       └┬┘

          │         │

          │         │

          │         │

         ─┴─       ─┴─

          │         │

          Y         O

          │         │

          │         │

          │         │

In the gate diagram, the inputs x, y, w, and z are connected to their respective gates. The gates used in the diagram are:

AND gate: Performs a logical AND operation on the inputs x and y.

OR gate: Performs a logical OR operation on the inputs w and z.

NAND gate: Performs a logical NAND operation on the outputs of the AND gate and the OR gate.

The output of the entire expression is represented by the letter O. The gate diagram illustrates the logical structure of the expression and how the inputs are combined to produce the final output using the specified logic gates.

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Answer:

10

Step-by-step explanation:

Answer:

2.3333333333333333333333333333333 sec

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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Answer:

Top right corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.

Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.

Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

The probability is 7/72 that each of the final three rolls is at least as large as the roll preceding it.

Let \(N_{i}\) represent the number appearing on die when die is rolled ith time,

i=1,2,3,4

Given that \(N_{1}\)≤\(N_{2}\)≤\(N_{3}\)≤\(N_{4}\)

Each time when a die is rolled, six options are there.

Let we have four equal sets

{1,2,3,4,5,6}, now we have to select four numbers such that, exactly one number is selected from each set

Case 1: All four are same

Number of ways:⁶C₁ =6

Case 2: Three are same but one is different

Number of ways: ⁶C₁ ⁵C₁ =30

Case 3: Two are same of one kind and two are same of second kind

Number of ways: \(\frac{1}{2}\) ⁶C₁ ⁵C₁=15

Case 4: Two are same and two are different

Number of ways: ⁶C₁ ⁵C₂=60

Case 5: All four are different

Number of ways: ⁶C₄=15

Required probability:

=\(\frac{6+30+5+60+15}{6*6*6*6}\)

=\(\frac{126}{36*36}\)

=\(\frac{72}{7}\)

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The expression which represents the amount Gabe spent at the mall is 18.9n + 24 + 28 = 18.9n + 52.

If Gabe bought n = 10 items, then the amount he spent at the mall is 18.9 * 10 + 52 = 189 + 52 = 241 dollars.

Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.

Standard deviation is calculated as follows:

p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8

Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.

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Answer:

8.40

Step-by-step explanation:

so I put 20x6.75/100 which = 1.35 and 4.5x6.75/100 which = .30 and I added .30 to 6.75 which = 7.05 and then I added 1.35 to that and got 8.40

so I got $8.40

In order to find the mean of the data summarized in the given frequency distribution, we can use the following formula\(:$$\bar{x}=\frac{\sum{f_ix_i}}{\sum{f_i}}$$Where,$$\bar{x}= \text{Mean value}$$$$f_i= \text{Frequency}$$$$x_i= \text{Mid value}$$\)

We need to calculate the mid-value for each class interval, as follows:Low Temperature​ (circle◦​F)Frequency Mid value\($$40 - 44$$ 33 $$\frac{40+44}{2}=42$$ $$45 - 49$$ 77 $$\frac{45+49}{2}=47$$ $$50 - 54$$ 99 $$\frac{50+54}{2}=52$$ $$55 - 59$$ 77 $$\frac{55+59}{2}=57$$ $$60 - 64$$ 0 $$\frac{60+64}{2}=62$$\)Now, we can plug the values into the formula to calculate the mean as follows:\($$\begin{aligned}\bar{x}&=\frac{\sum{f_ix_i}}{\sum{f_i}}\\&=\frac{(33)(42)+(77)(47)+(99)(52)+(77)(57)+(0)(62)}{33+77+99+77+0}\\&=\frac{76716}{286}\\&\approx268.09\\\end{aligned}$$\)

The computed mean is approximately 268.09. Let us compare it with the actual mean of 56.5. We can observe that the computed mean is more than 100 degrees more than the actual mean of 56.5. This can be explained by the fact that the data is skewed towards the higher end, as there are more observations in the higher intervals as compared to the lower ones. As a result, the computed mean is influenced by the higher values and is pulled up, leading to a significant difference from the actual mean.\(:$$\bar{x}=\frac{\sum{f_ix_i}}{\sum{f_i}}$$Where,$$\bar{x}= \text{Mean value}$$$$f_i= \text{Frequency}$$$$x_i= \text{Mid value}$$\).

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Based on the given residual plot, it is essential to evaluate whether the linear model is a good fit for predicting the cost of a standard postage stamp.

A well-fitted linear model should display a random scatter of residuals, without any noticeable patterns or trends.

To determine if the model is a good fit, examine the residual plot for the following:

1. A random distribution of residuals around the horizontal axis (i.e., no discernible patterns or trends).

2. A constant spread of residuals throughout the entire range of predictor values (i.e., homoscedasticity). If these conditions are met in the residual plot, then the linear model is likely a good fit for the data. If not, a different model should be considered for better prediction accuracy.

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Answer:

$600 overall

Step-by-step explanation:

Answer:

$600 more overall

Step-by-step explanation:

i'm great at math

Answer:

Allie gains 4, she loses 4, she has 0 points.

Step-by-step explanation:

The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.

Answer:

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Given

\(\frac{1}{2}x + 4\) - Expression 1

\(x + 6 - \frac{1}{2}x - 2\) -- - Expression 2

Required

Find the result of both expressions when \(x = 2\)

Expression 1

\(\frac{1}{2}x + 4\)

Substitute \(x = 2\)

\(\frac{1}{2} * 2 + 4\)

\(1 + 4\)

\(Result = 5\)

Expression 2

\(x + 6 - \frac{1}{2}x - 2\)

Substitute \(x = 2\)

\(2 + 6 - \frac{1}{2} * 2 - 2\)

\(2 + 6 -1 -2\)

\(Result = 5\)

Answer:

Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Answer:

salt: pepper

4 :   3

Step-by-step explanation:

salt: pepper

2/3  : 1/2

Multiply each by 6

2/3 *6 : 1/2 *6

4 :   3