Help with special right triangles rounding

Answer:

The lines mean "Absolute Value"

Step-by-step explanation:

"Absolute Value" is always positive. So the problem is actually, 2+3-24/3*2

Only the term "-2-3" is inside the lines so they are the only numbers that have to be or change to positive.

Answer:

-11

Step-by-step explanation:

Those lines are called Absolute Value which can be thought of the distance of the number away from zero.

| -2 - 3 | - 24/3 x 2

1) first we solve the absolute value.

| -5 | -24/3 x 2

2) then we know absolute value is the number from 0 so -5 would be +5 and we can remove the lines because we solved the absolute value.

5 -24/3 x 2

3) solve.

5 - 8 x 2

5 - 16

-11

Have a great day or night :)

The no. of ways in which the doctor visits her patients during morning rounds = 5!

That means we can only find the number of ways if we n+1 factorial the number of rounds. In this case, the factorial is 1x2x3x4x5= 120

The product of all positive integers less than or equal to n in mathematics is known as the factorial of a non-negative integer, indicated by the symbol n! Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1.

In addition to highlighting the connections between variables, it also enables the isolation and individual analysis of the impacts of changing a single variable. The primary drawback is how challenging it is to explore with more than two parameters or several levels.

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using pythagoras theorem ( to understand the theorem have a look at the photo attached)

let the unkown length be y

7² + y ² =12.21²

49 + y²= 149.08

y² = 149.08 - 49

y² approximately = 100

y = 10

hope you understood: )

Answer:

C: is a function because each input (x) has exactly one output( y).

Step-by-step explanation:

A function is when one input (x) has exactly one output (y).

A: is not a function because -4 is paired with two different y values.

B: is not a function because -4 is paired with two different y values.

C: is a function because each input (x) has exactly one output( y).

D: is not a function because -1 is paired with two different y values.

Can you reformat the question?

The correct option is B. That is, SSE must be equal to zero.

Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.

Know that the ratio of SSE by SST is the proportion of total variation that cannot be explained by the simple linear regression model.

Now, r²-SSE/SST

Therefore, option B is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

In a regression analysis of r² = 1, then

(a) SSE must also be equal to 1

(b) SSE must be equal to zero

(c) SSE can be any positive value

(d) SSE must be negative​

The correct response to Hannah's method is: No, she incorrectly calculated the area of the parallelogram.

Area of a composite shape.

A composite shape is one formed by more than one plane shape.

A given shape that has its two opposite sides to be equal and parallel is called a parallelogram. The area of a parallelogram can be determined by;

Area of a parallelogram = base x height

Also, a square has the measure of its sides to be equal. The area of a square can be determined by:

Area of a square = length x length

Considering the given question, we have;

i. Area of the parallelogram = base x height

                                           = 5 x 12

Area of the parallelogram = 60 cm^2

ii. Area of the square = length x length

                                   = 5 x 5

Area of the square = 25 cm^2

Total area of the given shape = 60 + 25

                                                  = 85 cm^2

Hannah's answer is incorrect. Thus the correct response is No, she incorrectly calculated the area of the parallelogram.

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Answer:

what's the question

Step-by-step explanation:

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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The points that the program connects to make the last N are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).

The coordinates of the points that form the original N are (1, 0), (1, 2), (3, 0), and (3, 2). We need to perform two transformations as given in the rules. The type of transformations consist of translation operations.

The first rule for the translation is (x, y) → (x + 2, y + 5). The translated points are (3, 5), (3, 7), (5, 5), and (5, 7).

The second rule for the translation is (x, y) → (x - 10, y + 1). The translated points are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).

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Answer:336,000

Step-by-step explanation:

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

A. \((x,y)\) ⇒ \((kx, ky)\)

Step-by-step explanation:

Because that's the dilation equation or formula

In the circle, the measure of p is 34 (option 3).

First, we know that angle MBC is an exterior angle to triangle PBC. Therefore, the measure of angle PBC is equal to the sum of angles MBC and MCB, which is 100 + (1/2)(angle MCP) = 100 + (1/2)(angle MQP).

Similarly, angle MCD is an exterior angle to triangle PCD. Therefore, the measure of angle PDC is equal to the sum of angles MCD and MDC, which is 62 + (1/2)(angle MPQ) = 62 + (1/2)(angle MQP).

Since angle PBC and angle PDC are both subtended by the same arc BC, they are equal. Therefore, we can set the expressions for these angles equal to each other and solve for angle MQP:

100 + (1/2)(angle MQP) = 62 + (1/2)(angle MQP)

38 = (1/2)(angle MQP)

angle MQP = 76 degrees

Finally, we can use the fact that angles MPQ and MQP form a linear pair, so they add up to 180 degrees. Therefore, angle MPQ is 180 - 76 = 104 degrees.

Since angle MPQ is an exterior angle to triangle PAB, we can use the exterior angle theorem to find the measure of angle P, as follows:

angle P = angle MPQ + angle PAB = 104 + 100 = 204 degrees

However, angles in a circle cannot be greater than 180 degrees, so we need to subtract 180 from angle P to get the actual measure of angle P:

angle P = 214 - 180 = 34 degrees

Therefore, the answer is option (3).

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Answer: $50.63 --- Interest

Step-by-step explanation:

Step 1

Using the formulae

A = P(1 + r/n)^nt

Where

A = principal + interest Amount

P = Principal Amount = $1000

t = Time  in years= 6months = 0.5 years

n = number of compounding periods= quarterly =4

Step 2

6 months = 6/12 = 0.5 years

Rate = 10 % = 0.1

A = P(1 + r/n)^nt

= 1000 ( 1 + 0.1/4)^(4 x 0.5)

=1000(1 +0.025)^2

= 1000(1.025)^2

= 1000 x 1.050625

A= $1,050.625

but A = principal + interest Amount

Interest = A- Principal=$1,050.625-$1,000

=$50.625

The scale of the drawing is 6 feet = 17 inches

Scaling is the process of increasing or reducing the size of a figure by a factor k.

Given that a figure which is 18 feet wide in real life, is 51 inches wide in the drawing, hence the scale is:

18 feet = 51 inches

Divide both sides by 3:

6 feet = 17 inches

Therefore, the scale of the drawing is 6 feet = 17 inches

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Answer:

(5x-2)

Step-by-step explanation:

first factor the quadratic equation

10x²+26x-12 by factoring out the gcf of 2

2(5x²+13x-6)    to factor the quadratic, first multiply ac (5)(-6)

find factors of -30 that multiply to give you -30 and add to give you the middle term 13.

factors -2, 15

take your leading term 5x and put it over the 2 factors, then reduce when necessary.  it is not necessary to use the 5x² because the x in the denominator cancels one out)

5x/-2 and 5x/15 (this one can be reduced to x/3

(5x-2)(x+3) are the factors.

the shared factor is (5x-2)

Answer:

they share 5x-2 as common factor

Step-by-step explanation:

10x² + 26x – 12 and 2(5x – 2)(x – 3)

10x² + 26x – 12  take 2 as common factor

2(5x²+13x-6)     factorize

2(5x-2)(x+3)

they share 5x-2 as common factor

Answer:

The correct option is 4 it lies on the 4th quadrant

The volume of a cone can be calculated using the formula \(V = (1/3) * * r2 * h\), where V is a constant roughly equal to 3.14159, r is the radius, and h is the height.

When the required values are substituted, the answer is \(V = (1/3) * 3.14159 * (1.75 feet)2 * 2.1\) feet.

The assessment of this expression yields V = 5.6688 cubic feet. The cone has a radius of 1.75 feet, a height of 2.1 feet, and a volume of approximately 5.6688 cubic feet."Pitch" is the technical word for the rotating movement of an airplane's nose. Pitch describes the rotation of the aircraft's nose around its lateral axis, either upward or downward. A plane is said to be in a positive pitch attitude when its nose is pointing up, and a negative pitch attitude when it is pointing down. Pitch control is essential for maintaining the correct flying path and managing the aircraft's height.

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The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Answer:

Step-by-step explanation:

a). There are 8 points in the figure attached.

b). There are 9 lines in the given figure.

c). There are 5 planes in the figure attached.

d). Three collinear points are D,G and F.

e).  Four co-planar points are G, F, H and C.

f). Intersection of planes ABC and ABE is the common line AB.

g). Intersection of planes BCH and DEF is the common line EF.

h). Intersection of AD and DF is a point D.

Answer:

3/2 o 1 entero 1/2

Step-by-step explanation:

150% es igual a 150 sobre 100= 150/100

(% este simbolo significa que el numero será divido por 100)

simplificas y te va a salir 3/2

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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a) Since the coefficient of x2 is negative, MU2 will always be non-negative as long as x2 ≤ 25.

Graphically, if we plot the utility function u(x1, x2) as a three-dimensional surface, it would be challenging to visualize without specific values for x1 and x2. However, we can analyze the partial derivatives at specific points to determine the slope in different directions.

b) The utility value of (22, 10) is higher than (21, 02), so (22, 10) is ranked higher.

c) Given prices P1 = 2, P2 = 1, and income m = -8, the problem becomes:

Maximize: -x1² + 150x1 - 2x2² + 100x2 + x1²²

Subject to: 2x1 + x2 ≤ -8

d) d. To solve the problem, we can use optimization techniques to find the optimal values of x1 and x2 that maximize the utility function while satisfying the budget constraint.

a. To determine if preferences are monotonic, we need to check if the marginal utility of each good is non-negative. The marginal utility of x1 (MU1) is given by the partial derivative of the utility function with respect to x1, and the marginal utility of x2 (MU2) is given by the partial derivative of the utility function with respect to x2.

MU1 = ∂u/∂x1 = -2x1 + 150 + 2x1^2 + 1

MU2 = ∂u/∂x2 = -4x2 + 100

To check for monotonicity, we need to verify if MU1 ≥ 0 and MU2 ≥ 0.

Setting MU1 ≥ 0:

-2x1 + 150 + 2x1^2 + 1 ≥ 0

2x1^2 - 2x1 + 151 ≥ 0

To find the roots of this quadratic equation, we can use the quadratic formula:

x1 = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 2, b = -2, and c = 151. Substituting these values into the quadratic formula, we get:

x1 = (-(-2) ± √((-2)^2 - 4(2)(151))) / (2(2))

x1 = (2 ± √(4 - 1208)) / 4

x1 = (2 ± √(-1204)) / 4

Since the discriminant (√(-1204)) is negative, the roots are complex, which means the quadratic equation does not have real solutions. Therefore, MU1 is not always non-negative.

Setting MU2 ≥ 0:

-4x2 + 100 ≥ 0

-4x2 ≥ -100

x2 ≤ 25

b. To find a bundle that is ranked higher than (21, 02) = (100, 100), we need to find a bundle (x1, x2) that results in a higher utility value than the given bundle.

Substituting (21, 02) into the utility function:

u(21, 02) = -(21^2) + 150(21) - 2(02^2) + 100(02) + (21^2)

= -441 + 3150 - 0 + 0 + 441

= 3150

To find a higher-ranked bundle, we need to increase the utility value. Let's consider the bundle (22, 10):

u(22, 10) = -(22^2) + 150(22) - 2(10^2) + 100(10) + (22^2)

= -484 + 3300 - 200 + 1000 + 484

= 3100

The utility value of (22, 10) is higher than (21, 02), so (22, 10) is ranked higher.

c. The consumer's utility maximization problem can be set up as follows:

Maximize: u(x1, x2) = -x1² + 150x1 - 2x2² + 100x2 + x1²²

Subject to: P1x1 + P2x2 ≤ m

where P1 and P2 are the prices of goods x1 and x2, respectively, and m is the consumer's income.

d. To solve the problem, we can use optimization techniques to find the optimal values of x1 and x2 that maximize the utility function while satisfying the budget constraint.

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Answer:

150 vouchers to wash trucks were sold

250 vouchers to wash compact cars were sold

Step-by-step explanation:

Here, we are interested in calculating the number of each type of vouchers sold.

Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.

Firstly, we know that both sums up to be 400.

Mathematically;

x + y = 400 •••••••••(i)

Secondly,

since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x

Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y

The sum of both gives $1350, which is the total sales.

Mathematically;

4x + 3y = 1350 ••••••(ii)

So we have two equations to solve simultaneously;

x + y = 400

4x + 3y = 1350

Multiply equation i by 4 , we have;

4x + 4y = 1600

4x + 3y = 1350

Subtract equation ii from i, we have 4y-3y = 1600-1350

y = 250

From equation 1, we know that

x + y = 400

This means that;

x = 400 -y

x = 400 -250

x = 150

Answer:

Is it C. 20/29

Step-by-step explanation:

because 20 and 29 are right next to it.

The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)