A quadratic equation has a
discriminant equal to 5. What
does this tell you about the
solution(s) to the equation?

To determine the image of point C after rotating it 144 degrees counterclockwise about point X, the original vertex would be the image of point C.

When a point is rotated counterclockwise about another point, the image is formed by tracing the path of the original point as it rotates. In this case, point C is rotated 144 degrees counterclockwise about point X. To find the image of point C, we trace its path as it rotates and identify the final position.

However, without specific information about the coordinates of point C and point X, it is not possible to determine the exact image or the original vertex. Additional information or coordinates are needed to determine the image accurately.

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a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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1/2 gallons of water rush down the slide each seconds.

For the given question-

Rate of running water = 1 half gallon every 3 seconds.

Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.

It means-

In every 3 seconds ----> 3/2 gallons water flows.

Thus for 1 sec, divide both side by 3.

1 seconds ----> 1/2 gallons water flows.

Therefore, 1/2 gallons of water rush down the slide each seconds.

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The polynomial function is f(x) = x³ - 5x² + 8x + 96.

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Answer:

a   4/17

Step-by-step explanation:

if you add them all up, you get 34. 8 out of 34 reduced is 4/17

Answer:

4/17

Step-by-step explanation:

8 black marbles, 12 clear marbles, and 14 blue marbles = 34 marbles

P( black) = number of black/ total

              = 8/34

              =4/17

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

-3

Step-by-step explanation:

the slope is 2 so add 2 to -5 (because its only one number lower than 0) and you get your answer

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

\(V=\pi r^2h\)

Where, r = radius

h = height

Put the value into the formula

\(V=\pi\times(2)^2\times13\)

\(V=163.3\ cm^3\)

Hence, The volume of the cylinder is 163.3 cm³.

the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

Let's assume the cost of a wardrobe is x dollars. Since the bed costs $250 more than the wardrobe, the cost of a bed would be x + $250.

According to the given information, the total cost of 4 beds and 3 wardrobes is $6,950. We can set up an equation to represent this:

4 * (x + $250) + 3 * x = $6,950

Simplifying the equation:

4x + $1,000 + 3x = $6,950

Combining like terms:

7x + $1,000 = $6,950

Subtracting $1,000 from both sides:

7x = $5,950

Dividing both sides by 7:

x ≈ $850

Therefore, the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

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Answer:

1. 47
2. 4

Step-by-step explanation:

1. 4a + 5b

4(8) + 5 (3)

32+ 15
=47

2. 3a/2b
3(8)/2(3)
24/6
=4

Answer:

(x, y) → (x+8, y-3)

Step-by-step explanation:

You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.

For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.

(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)

The answer of the equation 8(x-3) +7=2x(4-17) is x=1/2.

An equation is a statement that says that the value of two mathematical expressions is equal i.e., it is a mathematical sentence that has two equal sides separated by an equal sign.

We have the equation : 8(x-3) +7=2x(4-17)

Here we are not given Lin's solution so we can not find the error in her solution but we will solve this equation and find the value of x.

            8(x-3) +7= 2x (4-17)    

      ⇒  8x - 24 +7 = 2x(-13)

      ⇒  8x -17= -26x

      ⇒  34x = 17

      ⇒  x= 17/34

      ⇒ x =1/2.

The solution of the above equation is x= 1/2.

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Answer:

: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

Step-by-step explanation:

includeing zero

add as brainleist plz

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Area :-

\(\\ \rm\rightarrowtail side^2\)

\(\\ \rm\rightarrowtail 13^2\)

\(\\ \rm\rightarrowtail 169\)

Square root:-

Answer:

It's exponential

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

x will be 142 degrees as they are corresponding angles. See the attached image

Answer: 24, 33

              2.5, 4.75

              9.5, 11.75

Step-by-step explanation:

It is given that the PERIMETER is BETWEEN 24 and 33

-->          24 < P < 33

Graph:   O------------------O

            24                    33

Perimeter = 2w + 2L

It is given that L = w + 7

Substitute P with 2w + 2L and substitute L with w + 7

                24 <  2w + 2(w + 7) < 33

                 24 < 2w + 2w + 14 < 33    

                  10 <          4w        < 19    

-->             2.5 <          w        < 4.75          

Graph:       O--------------------------O

                 2.5                         4.75

Since L = w + 7, then w = L - 7

Substitute P with 2w + 2L and substitute w with L - 7

                24 <  2(L - 7) + 2L < 33

                 24 < 2L + 2L - 14 < 33    

                 38 <          4L        < 47    

-->             9.5 <          L        < 11.75  

Graph:      O------------------------O

                9.5                          11.75

NOTE: Make sure you use OPEN dots on the graphs.

Answer:

A

Step-by-step explanation:

24/47

you have to added up 10 and 14

A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

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The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.

we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:

3x³y² = y² × 3x³

8y²z = y² × 8z

both terms 3x³y² and 8y²z have y² common to them, so we can write;

3x³y² + 8y²z = y² × 3x³ + y² × 8z

3x³y² + 8y²z = y²(3x³ + 8z)

In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

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the volume percent of ethylene glycol in the solution is 30.25%.

Why is it?

To calculate the volume percent of ethylene glycol in the solution, we need to know the volume of ethylene glycol and the total volume of the solution.

Given:

Volume of ethylene glycol = 357 ml

Total volume of solution = 1.18 × 10²3 ml

The volume percent of ethylene glycol is calculated as:

Volume percent = (volume of ethylene glycol / total volume of solution) x 100%

Volume percent = (357 ml / 1.18 × 10²3 ml) x 100%

Volume percent = 30.25%

Therefore, the volume percent of ethylene glycol in the solution is 30.25%.

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Answer:  250

Step-by-step explanation:

Answer:

<3 and <1

Step-by-step explanation:

they're vertical angle pairs

The slope of a beer's law plot represents that one can quantitatively determine the molar absorptivity of a substance, which is essential for accurately determining concentrations of unknown samples using spectrophotometric methods.

In Beer's law, the relationship between the concentration of a substance and its absorbance is described by the equation A = εbc, where A is the absorbance, ε is the molar absorptivity (also known as the molar absorptivity coefficient), b is the path length of the sample, and c is the concentration of the substance.

When plotting a graph of absorbance versus concentration, the slope of the line represents the molar absorptivity (ε). The molar absorptivity is a constant that reflects the substance's ability to absorb light at a specific wavelength. A higher molar absorptivity indicates that the substance has a greater tendency to absorb light and is more sensitive to changes in concentration.

Conversely, a lower molar absorptivity indicates weaker absorption characteristics.

In summary, by measuring the slope of the Beer's law plot, one can quantitatively determine the molar absorptivity of a substance.

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Without additional information, it is not possible to identify the correct statement describing φ for the given SHM in figure (a).

The parameter φ represents the phase angle or phase shift of the harmonic motion. It determines the initial position or displacement of the oscillating object at t = 0. It is the angle by which the cosine function is shifted horizontally.

From the options provided, we need to identify the statement that correctly describes φ in Figure (a).

The statement that describes φ for the given SHM x(t) = a cos(wt + φ) can be determined by analyzing the position of the oscillating object at t = 0. If the object is at its maximum positive displacement, φ is 0 degrees or 0 radians. If the object is at its maximum negative displacement, φ is 180 degrees or π radians. If the object is at the equilibrium position (zero displacements) at t = 0, φ is 90 degrees or π/2 radians.

Since figure (a) is not provided in the question, we cannot directly determine the exact position at t = 0. Therefore, without additional information, it is not possible to identify the correct statement describing φ for the given SHM in Figure (a).

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