is ade similar to abc explain
or does anyone have the answer sheet for this?

Answer:

28

Step-by-step explanation:

I took the test and It says 28

Hello!

\(3x^{2} - 6x + 1 = 0\\\\x= \dfrac{-b \±\sqrt{b^{2}-4ac } }{2a} \\\\\\x = \dfrac{-(-6) \±\sqrt{(-6)^{2}-4*3*1 } }{2*3} \\\\\\x =\dfrac{6 \±\sqrt{24 } }{6}\\\\\boxed{x =\dfrac{3 \±\sqrt{6 } }{3}}\)

The length y in the chords is 11.05 units.

If two chords intersect within a circle, then the product of the length of the part of one of the chord is equals to the product of the length of the other chord.

Therefore, using this rule,

20 × y = 17 × 13

20y = 221

divide both sides by 20

y = 221 / 20

y = 11.05

Hence,

y = 11.05

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Answer:

Step-by-step explanation:

The two equations are \(y - x = 123\) and \(y = 2x + 22.\)

What are linear equations?

Algebraic equations with variables raised to the first power and that are neither multiplied or divided by one another are known as linear equations. When plotted on a coordinate plane, they show up as straight lines.

A linear equation has the following form:

\(ax + by = c\)

Here, the variables "x" and "y," the coefficients "a" and "b," and the constant "c," are all present.

Assume that x is the smaller number and y is the larger integer.

We can create two equations using the information provided:

The difference between two numbers is 123:

You can write this as \(y - x = 123\).

The larger is 22 times larger than the smaller.

You can write this as \(y = 2x + 22\).

Based on the available data, these two equations illustrate the link between the two integers. We may get the values of x and y, the smaller and larger numbers, respectively, by simultaneously solving these equations.

Therefore, the two equations are \(y - x = 123\) and \(y = 2x + 22.\)

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Mr. Joseph weighs 68 kg, Mrs. Joseph weighs 56 kg, and their son weighs 84 kg by using equation.

Let's solve this problem step by step. We'll assign variables to represent the weights of each family member.

Let's assume Mr. Joseph weighs x kg, Mrs. Joseph weighs y kg, and their son weighs z kg.

According to the given information, we have three equations:

1. x + y = 124  (Mr. and Mrs. Joseph combined weigh 124 kg)

2. y + z = 140  (Mrs. Joseph and her son combined weigh 140 kg)

3. x + z = 152  (Mr. Joseph and his son weigh 152 kg)

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:

From equations 1 and 2, we can subtract equation 2 from equation 1:

(x + y) - (y + z) = 124 - 140

This simplifies to:

x - z = -16   (Equation 4)

Now, let's add equation 4 to equation 3:

(x + z) + (x - z) = 152 + (-16)

This simplifies to:

2x = 136

Dividing both sides by 2:

x = 68

Substituting the value of x back into equation 3:

68 + z = 152

Subtracting 68 from both sides:

z = 84

Now, substituting the values of x and z back into equation 2:

y + 84 = 140

Subtracting 84 from both sides:

y = 56

Therefore, Mr. Joseph weighs 68 kg, Mrs. Joseph weighs 56 kg, and their son weighs 84 kg.

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The apparent weight of the rock when submerged in water is 70 N.

When an object is submerged in a fluid, it experiences an upward buoyant force due to the displacement of the fluid. This buoyant force reduces the apparent weight of the object.

To calculate the apparent weight of the rock when submerged in water, we need to determine the buoyant force acting on it. The buoyant force is equal to the weight of the fluid displaced by the rock.

The volume of the rock is given as 0.00312 m^3. This volume represents the volume of water displaced by the rock when submerged.

The weight of the fluid displaced is equal to the weight of the water with the same volume. The density of water is approximately 1000 kg/m^3, so the weight of the displaced water is:

Weight of displaced water = density × volume × acceleration due to gravity

                        = 1000 kg/m^3 × 0.00312 m^3 × 9.8 m/s^2

                        ≈ 30.816 N

Since the buoyant force is equal to the weight of the displaced water, the apparent weight of the rock when submerged in water is:

Apparent weight = Weight in air - Weight of displaced water

              = 100 N - 30.816 N

              = 69.184 N

Rounding to the nearest Newton, the apparent weight of the rock when submerged in water is 70 N.

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Answer:

\(\huge\boxed{-5.98}\)

Step-by-step explanation:

The opposite of 5.98 is the negative one.

Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.

So, the opposite of 5.98 is:

=> -5.98

Hi there!

~

An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.

⇒ Since 5.98 is positive, it's opposite must be negative.

⇒ We multiply 5.98 by -1 to find the opposite:

Opposite of \(5.98 = -(5.98) = -5.98\)

         ↓

∴Good luck∴

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

Answer:

10+5+4+8=27

2(8+6)

=14×2=28

2(8+6

=16+6=22

The below would be most important Algebra 1 Formulas for CST.

Linear Equation:

\(Ax + By + C = 0\)

Equation of Straight Line or Slope:

\(y = mx+b\)

Point-slope form:

\(y-y_{1} = m(x-x_1)\)

Slope when 2 points are given:

\(m = \frac{(y_2 - y_1)}{(x_2-x_1)}\)

Quadratic Equation:

\(Ax^2 + Bx +C = 0\)

When lines are parallel:

Slope of both lines are equal. \(m_1 = m_2\)

When lines are perpendicular:

Slope of perpendicular lines are opposite reciprocals, meaning if the slope of a line \(l_1\) is \(\frac{1}{2}\). The line \(l_2\) perpendicular to \(l_1\) is \(-\frac{2}{1}\).

Work Formula:

Total Work Done = Number of Days \(\times\) Efficiency

where Efficiency is inversely proportional to Time Taken.

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Based on the shape given of a house, the volume of the figure can be found to be 3, 146 units³

The shape given is a mixture of two shapes which are a rectangular prism and a triangular prism.

To find the volume therefore, you should find the volume of both the rectangular prism and the triangular prism and then add them up to find the volume of the shape.

The volume of a rectangular prism is:

= Length x Width x Height

= 18 x 11 x 13

= 2, 574 units³

Volume of the triangular prism:

= 1/2 x base x height x length

= 1/2 x 11 x 13 x 8

= 572 units³

The volume is:

= Volume of a rectangular prism + Volume of the triangular prism

= 2, 574 + 572

= 3, 146 units³

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Answer: 15%

Step-by-step explanation:

The usual price is $80.

This week however, the set sold for $12 less than this usual price of $80.

Savings therefore are $12 because people save $12 by buying it at $12 off.

Percentage of usual price:

= Savings / Usual price * 100%

= 12 / 80 * 100%

= 0.15 * 100

= 15%

Answer:

.625

Step-by-step explanation:

Yo usar el calculadora

The probability that no boys will be chosen is 0.2857

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.

Main Body:

Total students =22

total boys = 10

total girls =12

Now we have to chose 2 girls from 12 , so combination is used to select ,

⇒¹²C₂

Also, We have to chose 2 girls from 22 students

so it can be represented as ,

⇒²²C₂

Probability of choosing 2 girls = ¹²C₂/²²C₂

On solving this we will get = 0.2857

Hence the probability is 0.2857

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To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

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The correct question is given below:
A reliable measure is one that:

A) produces a consistent result if the same thing is measured twice.

B) measures what it was intended to measure.

C) predicts actual behavior.

D) co-varies with the independent variable.

Answer: k > 6

Step-by-step explanation:

Distribute

2k + 8 - 3k < 14

Simplify

-k + 8 < 14

-k < 6

There is a rule that is the coefiicient is negative --> switch the symbol

k > 6

The solution to the inequality 2(k + 4) - 3k < 14 is k > -6.

Here, we have,

To solve the inequality 2(k + 4) - 3k < 14, we can follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:

2k + 8 - 3k < 14.

Step 2: Combine like terms on the left side of the inequality:

(-k) + 8 < 14.

Step 3: Subtract 8 from both sides of the inequality to isolate the variable:

(-k) < 14 - 8.

Simplifying:

(-k) < 6.

Step 4: Multiply both sides of the inequality by -1 and flip the inequality sign since we are multiplying by a negative number:

(-k) * (-1) > 6 * (-1).

Simplifying:

k > -6.

Therefore, the solution to the inequality 2(k + 4) - 3k < 14 is k > -6.

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Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

The coefficient of determination (R²) for the given regression model is 0.974

The coefficient of determination, R², is a measure of how well the regression line fits the data. It represents the proportion of the total variation in the dependent variable that is explained by the independent variables in the regression model.

To compute R², we first need to calculate the sum of squares total (SST), which is the total variation in the dependent variable

SST = ∑(yi - y)²

where yi is the ith observed value of the dependent variable, and y is the mean of the dependent variable.

In this case, SST = 1805, as given.

Next, we need to calculate the sum of squares regression (SSR), which represents the variation in the dependent variable that is explained by the independent variables

SSR = ∑(yi - y)²

where yi is the ith observed value of the dependent variable, and y is the predicted value of the dependent variable based on the regression model.

In this case, SSR = 1760, as given.

Finally, we can compute R² as

R² = SSR/SST

Substituting the values given, we get:

R² = 1760/1805

R² = 0.974

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The given question is incomplete, the complete question is:

The following estimated regression equation based on 30 observations was presented. y = 17.6 + 3.8x₁ – 2.3x₂ + 7.6x₃ + 2.7x₄ The values of SST and SSR are 1805 and 1760, respectively.

Compute R²

a.  the polynomial in standard form that represents the area of the patio is 32x² - 40x ft²

b. The cost of the patio when x = 9 is $22320

Note that the patio takes the shape of a rectangle.

Hence, the formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

From the information given, we have that;

Area = (8x - 10)(4x)

expand the bracket, we have

Area = 32x² - 40x ft²

When x = 9

Area of patio = 32(9)² - 40(9)

Area = 2592 - 360 = 2232 ft²

If $10 = 1 ft²

 x = 2232 ft²

x = $22320

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Answer:

C. -1

Step-by-step explanation:

Slope is: \(m=\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (1,7) and (3,5).

\(m=\frac{5-7}{3-1} =\frac{-2}{2} =-1\)

The slope is -1, and therefore, Option C should be the correct answer.

Answer:

37

Step-by-step explanation:

74*(-5+5+1/2)

74*(1/2)

37

The given quadratic equation is y=x2 −2x. When we substitute different values of x in the equation y=x2−2x then value of y changes accordingly and we obtain table from table we can draw a graph.

When x=0 then

y=(0)2−(2×0)=0−0=0

The point is (0,0)

When x=1 then

y=(1) 2−(2×1)=1−2=−1

The point is (1,−1)

When x=−1 then

y=(−1)2−(2×−1)=1+2=3

The point is (−1,3)

Hence, the coordinates are (0,0), (1,−1) and (−1,3) and the graph of the quadratic equation y=x2−2x is shown in the image.

Table:

x       0      1      -1

y       0     -1       3

Graph:

Graph is in the image uploaded.

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