Why there is no AAA congruence rule?

You can solve exponential decay questions using the decay rate and the exponential decay formula.

Exponential decay is a common mathematical concept that can be difficult to master. Fortunately, there are some key strategies that can help you solve exponential decay questions.

To begin, it’s important to understand the concept of exponential decay, which is the decrease in the value of a quantity over time.

From there, you’ll need to identify the decay rate, or the speed at which the quantity is decreasing.

Next, you’ll want to use the exponential decay formula to calculate the final value of the quantity.

The formula is

dN/dT = -λN

where

N = quantity

λ= exponential decay constant

T= time

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Answer:235 cm

Step-by-step explanation: divide the length by 10

Answer:

235cm

Step-by-step explanation:

You would divide the length value (millimeters) by 10 because 1 centimeter equals 10 millimeters.

Hope this helps!

Answer:

Step-by-step explanation:

A would-be correct because it matches the 3 parts and the 5 parts

Answer:

600

Step-by-step explanation:

To determine how well Daniel must score on Exam B in order to do equivalently well as he did on Exam A, we can use the concept of standard scores or z-scores. A z-score indicates how many standard deviations away from the mean a score is.

First, we need to convert Daniel's score on Exam A to a z-score:

z = (18 - 28) / 5 = -2

This tells us that Daniel's score on Exam A is 2 standard deviations below the mean.

We can then use this z-score to find Daniel's equivalent score on Exam B. To do this, we can use the formula:

x = z * σ + μ

Where x is the equivalent score on Exam B, z is the z-score from Exam A, σ is the standard deviation of Exam B, and μ is the mean of Exam B.

x = (-2) * 40 + 700

x = 600

Therefore, Daniel must score 600 on Exam B in order to do equivalently well as he did on Exam A.

Keep in mind that this calculation assumes that the scores on each exam are normally distributed, which may or may not be the case. It also assumes that the two exams are of similar difficulty, which also may not be the case.

Answer:   Look below

Please Set Brainliest if this helps you.

Step-by-step explanation:

From the information you provided, it can get 8,16,24,32,40,48,...
This depends on how much is in each container.

The tax increase from 7% to 21% is 7.98%.

The tax increase is calculated by subtracting the original rate from the new rate and then multiplying the difference by the original rate.

For example, if the original rate is 10% and the new rate is 20%, then the tax increase is 10% (20% - 10% = 10%).

Tax Increase = (New Rate - Old Rate) x Old Rate

In this question,

Step 1: Calculate the difference between the two percentages.

The difference between 7% and 21% is 14%.

Step 2: Multiply the original percentage (7%) by the difference (14%).

7% x 14% = 0.98

Step 3: Add the result from Step 2 to the original percentage (7%).

7% + 0.98 = 7.98

Step 4: The tax increase from 7% to 21% is 7.98%.

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The sum of the other two numbers, x and y, is 120.

To solve this problem, we need to use the fact that the average of three numbers is the sum of the numbers divided by 3. Since the average of the three numbers is 50, and one of the numbers is 30, we can set up the equation:

(30 + x + y)/3 = 50

To solve for x and y, we need to multiply both sides of the equation by 3 to get:

30 + x + y = 150

We can then subtract 30 from both sides of the equation to get:

x + y = 120

So, the sum of the other two numbers, x and y, is 120.

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If the lowest number is 30, the sum of the other two numbers is 150

Let x1, x2 and x3 be three unique numbers with x1 is the lowest number and x3 is the largest number.

Let x{bar} be the average of numbers  x1, x2 and x3

Given that the average of three unique numbers is 50.  

So, x{bar} = 50

And the lowest number is 30

i.e., x1 = 30

Using the formula of average,

x{bar} = (x1 + x2 + x3) / 3

50 = (30 + x2 + x3)/3

50 × 3 = x2 + x3

x2 + x3 = 150

Therefore, the sum of the other two numbers is 150

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Answer:

y=15

Step-by-step explanation:

10y+4=29

29-14= 15

therefore

y=15

10+15+4= 29 !!

The solution of expression is,

⇒ y = 2.5

We have to given that,

An expression to solve is,

⇒ 10y + 4 = 29

Now, We can simplify the expression for y as,

⇒ 10y + 4 = 29

Subtract 4 both side,

⇒ 10y + 4 - 4 = 29 - 4

⇒ 10y = 25

Divide by 10;

⇒ y = 25 / 10

⇒ y = 2.5

Therefore, The solution of expression is,

⇒ y = 2.5

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The percentage of male guinea pigs in the pen at the pet store is 30%.

The percentage refers to the ratio of a number or value compared to another.

Percentages are the results of division operations multiplied by 100.

The ratio of female to male guinea pigs = 7:3

The sum of ratios = 10

The percentage of female guinea pigs = 70% (7/10 x 100)

The percentage of male guinea pigs = 30% (3/10 x 100)

Thus, we can conclude that whereas there are 70% of female guinea pigs in the pet store's pen, 30% are male.

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The best unbiased estimate for μ is [tex]$\bar{x}$[/tex], the confidence interval for the population mean is (14.5044, 17,2956).

The best unbiased estimate for μ is [tex]$\bar{x}$[/tex].

 Sample standard mean [tex]$\bar{x}$[/tex] is the best unbiased estimate of population mean μ.

[tex]$$\begin{aligned}& \mathrm{SE}=\sigma / \sqrt{n} \\& =6 / \sqrt{100}=0.6 \\& \alpha=0.02\end{aligned}$$[/tex]

The standard error of the mean, or simply standard error, indicates how different the population mean is likely to be from a sample mean.

From Table, critical values of [tex]$Z=\pm 2.326$[/tex]

Confidence interval:

[tex]$$\begin{aligned}& \bar{x} \pm \text { Z SE } \\& =15.9 \pm(2.326 \times 0.6) \\& =15.9 \pm 1.3956 \\& =(14.5044,17,2956)\end{aligned}$$[/tex]

Therefore, the confidence interval for the population mean is (14.5044, 17,2956).

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The polynomial is x⁴ + 3x³- 4 that is a 4th-degree function with zeros of -2, -2, 0 and 1 which graph has been attached below.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

A polynomial of degree 4 with zeros of -2, -2, 0 and 1 can be written as:

(x + 2)²(x - 1)x

This can be factored as:

(x + 2)²(x - 1)x = (x² + 4x + 4)(x - 1)x = x⁴ + 3x³- 4

This polynomial has degree 4, because the highest power of x is x⁴. It has zeros at x = -2, x = -2, x = 0 and x = 1, because when you plug in these values for x, the polynomial evaluates to 0.

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Answer:

16

Step-by-step explanation:

I had this on my test and got correct

Coordinates of A'B' are A' (6, -15) and B' (-24, 3), and A'B' = 6√34

Resizing an item or transitioning an object is called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

However, there is a variation in the shape's size. The initial shape should be stretched or contracted during dilatation. The phrase "scale factor" describes this transition.

Here we have

AB with A(-2, 5) and B(8, -1) is dilated by a factor - 3

The new coordinates A' and B' can be calculated as given below

Coordinates of A'

= scale factor × (x - coordinate of A) = -3 × -2 = 6

= scale factor × (y - coordinate of A) = -3 × 5 = -15  

=> A' = (6, -15)

Coordinates of B'

= scale factor × (x - coordinate of B) = - 3 × 8 = - 24

= scale factor × (y - coordinate of B) = -3 × -1 = 3  

=> B' = (-24, 3)

A' (6, -15) and B' (-24, 3)

Length of A'B' = √[(-24 – 6)² + (3 + 15 )²]  

= √[(– 30)² + (18 )²]    

= √[1224]    

= 6√34

Therefore,

Coordinates of A'B' are A' (6, -15) and B' (-24, 3), and A'B' = 6√34

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The pattern of the exponent's decrease should be that it should be divided by 8.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The exponent is represented by the symbol ^ . This symbol is known as a carrot (). Depending on the abilities they possess, many rules of exponents are given.

Adding exponents while maintaining the same base is the rule for multiplying similar bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

The value of each variable should be like

a = 1

b = 1 ÷ 8

c = 1 ÷ 64

Therefore, The pattern of the exponent's decrease should be that it should be divided by 8.

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Use our free online step-by-step algebra calculator to resolve linear or quadratic inequalities.

Use the steps below to solve an inequality: Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators. Step 2: Simplify the inequality by merging like terms on each side. Step 3: Add or subtract amounts to get the unknown and the numbers on either side.

A number is a "solution" to an inequality if it can be used as the variable to make the inequality true. The inequality changes to 8-2 > 5 when we replace x with 8. As a result, the inequality's solution is x=8. Here, x equals 3. Thus, 3x-2 > 0 produces the inequality. The inequality (4x-3)(2x-1) higher than 0 has the value 3, 2 as the solution set.

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Answer:

1+1=2

Step-by-step explanation:

2=1+1

Answer:

20

Step-by-step explanation:

We are given that when x is -3.5 y is 10. So we just simply multiply y by 2 (10 x 2) which gives us 20.

Answer:

PEMDAS

Step-by-step explanation:

start by the parentheses (16÷2)=(8)

multiplication operation -6×3=-18

start from left hand side 24-18=6

then 6+52=58

then 58-8=50

Answer:

range for -1= 1 range for 3.7= -8.4

Step-by-step explanation:

you just plug in the two values to the equation to get the answer

The correct answer is option B) Train-the-trainer.

Using a train-the-trainer strategy, knowledgeable users can be selected who then conduct sessions for others.

Train-the-trainer is a strategy where knowledgeable users are selected to conduct sessions for others. This strategy is effective because it allows the users to become knowledgeable in the topic and learn how to teach it to others. This ensures that the users become comfortable with the material and can answer any questions that might come up during the sessions.

Additionally, the trainer can provide feedback to the users and help them understand the material better. This is especially beneficial for more complex topics that require a deeper understanding.

Furthermore, the train-the-trainer strategy is cost-effective because it eliminates the need for multiple instructors. The trainer can then provide the necessary training materials and resources to the users and help them learn in a more efficient manner.

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Answer: B is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

96=(32+x)x2=?

Answer:

24

Step-by-step explanation:

The expression that represents how much Cora spent = $0.85c + $1.15 g

An expression is a mathematical statement used to represent the method of a mathematical operation in a symbolic form.

Mathematical terms and operators are combined to form an expression.

Terms can be numerical or numerical and variables both.

As example 3y + 5 z + 10 is an expression that has been developed based on two variables y and Z, three numbers 3, 5 and 10.

Given, cost of each chocolate bar = $0.85

cost of Gummy worms per package = $1.15

If c is the numbers of chocolate bar and g is the number of packages of Gummy worms that Cora bought, then the expression will be

$0.85 c + $1.15 g

which has two variables and two decimal numbers

hence, Cora spent $0.85c + $1.15g

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After the second deposit, Sylvia will have $110 and Leroi will have $110

From the question, we have the following parameters that can be used in our computation:

Initial amount = $100

Leroi's additional savings = $10 weekly

Sylvia's additional savings = 10%

Using the above as a guide, we have the following:

Lero's savings in week 2 = Initial amount + Leroi's additional savings

Sylvia's savings in week 2 = Initial amount * (1 + Sylvia's additional savings)

Substitute the known values in the above equation, so, we have the following representation

Lero's savings in week 2 = 100 + 10

Sylvia's savings in week 2 = 100 * (1 + 10%)

Evaluate the equations

Lero's savings in week 2 = 110

Sylvia's savings in week 2 = 110

Hence, their savings in the second week are $110 each

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Complete question

Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional$10 each week. Sylvia decides to put in an additional 10% of the amount in the account each week.

After the second deposit, Sylvia will have _______ and Leroi will have ________

When the linear functions of Amit and Camille's puppies are compared, the weight of Camille's puppies increases directly with age, whereas Amit's puppies are irregular.

Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.

Camille's dog:

slope: 0.5

1.5 y-intercept

Camille's puppy began at 1.5 pounds and is now gaining 0.5 pounds per week.

Olivia's dog:

slope: 1

4 is the y-intercept.

Olivia's puppy began at 4 pounds and gains one pound per week.

The slope represents the amount of weight gained by the puppy each week. The y-intercept denotes the puppy's initial weight.

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The markup price is $464 and the expression to find the markup price is 320×1.45

Markup shows how much more a company's selling price is than the amount the item costs the company.

Given that, the price of a $320 tablet after a 45% markup.

This mean that, the tablet price is being hiked by 45%,

Therefore,

Total price will be = 45% of 320 + 320

= 45 / 100 x 320 + 320

= 144 + 320

= 464

Hence, the markup price is $464 and the expression to find the markup price is 320×1.45

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After 15 hours, the faster car will be 75 miles ahead of the slower car.

Speed can be calculated as the ratio of distance traveled to the time taken

We are Given,

Speed of first car = 30 miles per hour

Speed of second car = 25 miles per hour

Let, x be the number of hours.

Distance covered by first car = Speed x time = 30x

Distance covered by second car = 25x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

30x - 25x = 75

5x = 75

x = 15

Hence, After 15 hours, the faster car will be 75 miles ahead of the slower car.

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Answer: Therefore, the value of h is -6.

Step-by-step explanation: The slope of a line is given by the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

In this case, the slope of the line is -2, and the two points on the line are (-1, -2) and (h, -8). Plugging these values into the formula gives us:

-2 = (-8 - (-2)) / (h - (-1))

Solving this equation for h gives us:

h = -6

Therefore, the value of h is -6.