On a coordinate plane, 2 lines intersect around (2.2, 2.4). the solution of the system of equations has coordinates where x is between 2 and 3 and y is between 2 and 3. what is a reasonable approximation for each value to the tenths place? x almost-equals 2.2, y almost-equals 2.1 x almost-equals 2.2, y almost-equals 2.4 x almost-equals 2.7, y almost-equals 2.3 x almost-equals 2.7, y almost-equals 2.6

Answer:

16

Step-by-step explanation:

I had this on my test and got correct

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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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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Each of Liam, Anika, and Sai is figuring out the identical equation for x. 12x+4=20x-12 in the original equation. 12x+16=20x was the outcome of Sai's initial action.

Getting the variable on one side is the first step in solving an equation with a variable on both sides once it has been simplified. To do this, one of the words with the variable's addition or subtraction is reversed.

12 x + 4 = 20 x - 12 x 4 = 20 x - 12 x - 12 x 4 = 8x - 12

The linear term was then simply merged.

12 on each side is added. Consequently, 12 x + 16 = 20 x. 12 x + 4 + 12 = 20 x

12 x + 4 = 20 x - 12 is the analysis.

12 on each side added

Consequently, 12 x + 16 = 20 x. 12 x + 4 + 12 = 20 x

12 x from both sides 16 = 20 x - 12 x 16 = 8x x = 2.

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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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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 correct answer is 7.07 and 8.43 units, so option C is correct and 8.43 units. This can be calculated using trigonometry.

The two sides of the triangle are referred to as the opposite side and adjacent side. The adjacent side is the side of the triangle adjacent to the angle, and the opposite side is the side opposite to the angle. The adjacent side is calculated using the cosine of the angle multiplied by the hypotenuse, which in this case is 11.

Cos 40° multiplied by 11 gives a value of 7.07 units for the adjacent side.

Cos40×11= 7.07

The opposite side is calculated using the sine of the angle multiplied by the hypotenuse, which gives a value of 8.43 units.

Sin40×11= 8.43

Therefore, the lengths of the two sides of the right triangle are 7.07 units and 8.43 units.

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Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

[tex]d = - 38t + 220[/tex]

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

[tex]d = - 38t + 220[/tex]

[tex]\dfrac{d(d)}{dt} = - 38[/tex]

Hence, Speed is the magnitude of velocity.

[tex]|- 38| = 38[/tex]

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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 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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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!

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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The matching of the first row of expressions with the second row of expressions are;

1) 2√(3x²y) → x√(12y)

2) 2x√(6xy²) → y√(24x³)

3) 2y√(2x⁴) → x²√(8y²)

4) 3x²√(2y⁴) → xy√(18x²y²)

1) 2√(3x²y)

This can be broken down into the expression;

2x√(3y)

2) 2x√(6xy²)

This can broken down into;

2xy√(6x)

3) 2y√(2x⁴)

This can be simplified into;

2x²y√2

4) 3x²√(2y⁴)

This can be simplified into;

3x²y²√2

The second row of expressions are simplified as;

xy√(18x²y²)

= 3x²y²√2

x√(12y)

= 2x√3y

x²√(8y²)

= 2x²y√2

y√(24x³)

= 2xy√6x

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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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The answer to the given equation is 240.

We can con solve the equation in the following ways:

6 f(x) dx = 6 * (4x) dx for x ≥ 4

Here, we will do the derivative and integration of the given equations as required. That will take us to the simplified statement. Note: we need to take into consideration the greater than equal  sign as it will directly affect the result of the equation.

= 24 * ∫x dx from 4 to 6

= 24 * (x^2/2)|4 to 6

= 24 * (6^2/2 - 4^2/2)

= 24 * (18 - 8)

= 24 * 10

= 240

Therefore, The answer to the given equation is 240.

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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 ________

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:

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 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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The total number of different 4-digit numerals that can be written using the 10 digits is 7.

Numbers are represented by digits, which include 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. A group of digits known as numerals is used to represent a number. 1234 2314 56111, for example, are numerals.

The number of different permutations of 4 digits can be calculated using the formula nPr = n! / (n-r)!.

2. In this case, n = 10 and r = 4, so nPr = 10! / (10-4)! = 10! / 6! = 5040 / 720 = 7!.

Since each digit can only be used once, there are no duplicate combinations. Therefore, the total number of different 4-digit numerals that can be written using the 10 digits is 7!

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Answer:

Step-by-step explanation:

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

It should be noted that (2,3) is not a solution to a the equation y = x + 1.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

No, (2,3) is not a solution to the equation y = x + 1. If we substitute 2 for x and 3 for y, we get 3 = 2 + 1 which is not true.

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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.

Root x = 2 is an extraneous solution for radical equation √(4 · x - 7) - √(2 · x) = 1, whose roots are 2 and 8, respectively.

In this problem we find the definition of a radical equation, whose roots must be found by combining algebra properties and power properties. A root is an extraneous solution if the result lead to an absurdity. (i.e. 1 = 0).

First, write the complete expression:

√(4 · x - 7) - √(2 · x) = 1

Second, apply algebraic substitution formula u = 2 · x to simplify the model:

√(2 · u - 7) - √u = 1

Third, use algebra properties to clear square roots:

√(2 · u - 7) = 1 + √u

Fourth, square both sides of the expression:

2 · u - 7 = (1 + √u)²

2 · u - 7 = 1 + 2 · √u + u

u - 7 = 1 + 2 · √u

u - 2 · √u - 8 = 0

Fifth, use algebraic substitution k = √u and solve the quadratic-like equation by factorization:

k² - 2 · k - 8 = 0

(k - 4) · (k + 2) = 0

k₁ = 4 or k₂ = - 2

Sixth, find the values of x by reversing algebraic substitutions:

√u₁ = 4 or √u₂ = - 2

u₁ = 4² or u₂ = (- 2)²

2 · x₁ = 4² or 2 · x₂ = (- 2)²

x₁ = 8 or x₂ = 2

Seventh, look for any extraneous solution:

x₁ = 8

√(4 · 8 - 7) - √(2 · 8) = 1

√25 - √16 = 1

5 - 4 = 1

1 = 1

x₂ = 2

√(4 · 2 - 7) - √(2 · 2) = 1

√1 - √4 = 1

1 - 2 = 1

- 1 = 1 (CRASH!)

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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

The equation of the line that passes through these points X -2,0,2,3 and Y -17, -5, 7, 13 is given by y = 6x - 30

The slope, m of the linear function is calculated using the points on the form the table (0, -5) and  (2, 7)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-5 - 7) / (0 - 2)

m = (-12) / (-2)

m = 6

equation passing through point (0, 5)

(y - y₁) = m (x - x₁)

y - 0 = 6 (x - 5)

y = 6x - 30

The equation of the line for the table is solved to be  y = 6x - 30

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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.

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 value of the variable based on the triangle given is 5.5 units.

The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.

Add each side of the triangle.

3z + z + 1 + 4z - 3 = 8z - 2

8z - 2 is equivalent to the  perimeter.

Since you know the perimeter is 38 units, you can set 8z-2 to 38.

8z -2 = 38

Solve for z. Subtract 2 from each side.

8z = 36

Divide each side by 8.

z = 4.5

Now solve for side WX.

WX = z + 1

WX = 4.5 + 1

WX = 5.5

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