5.(A.3A) The table represents some points on the graph
of a linear function. What is the slope of this
function?
х у
-6-7
0-10
6-13
12-16

Answer:

1/2

Step-by-step explanation:

Hi there, let me show you how to answer this question.

If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.

Answer:

The answer is 35

Step-by-step explanation:

It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C

Answer:

35

Step-by-step explanation:

I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!

Answer:

Answer:

well for me

Step-by-step explanation:

3.45+3.90=7.35

10-7.35

2.65

In the above question, a trigonometric function is given as follows

\(tan^{-1}x\) + \(tan^{-1} y\) + \(tan^{-1}z\) = n\(\pi\)

We'll use the formula here as,

\(tan^{-1}x\) + \(tan^{-1} y\) = \(tan^{-1}\)(\(\frac{x + y}{1 - xy }\))

we will get,

\(tan^{-1}\)(\(\frac{x + y}{1 - xy }\)) +  \(tan^{-1}z\)  = n\(\pi\)

\(tan^{-1}\)(\(\frac{x + y}{1 - xy }\)) = n\(\pi\) - \(tan^{-1}z\)

\(\frac{x + y}{1 - xy }\) = tan ( n\(\pi\) - \(tan^{-1}z\))

Now, we know that,

tan(n\(\pi\) - z ) = - tan z as it is moving in the second quadrant where tangent function is -ve

Then, \(\frac{x + y}{1 - xy }\) = tan(\(tan^{-1}\)z)

\(\frac{x + y}{1 - xy }\) = - z

x+y = -z( 1 - xy)

x+y = -z + xyz

x + y + z = xyz

Hence, proved.

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Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not.

ray4918 here to help.

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

x ≤ -27

Step-by-step explanation:

\(\frac{x}{-9}\) ≥ 3

to isolate the 'x' we need to multiply each side by -9

whenever you multiply or divide an inequality by a negative you must reverse the inequality symbol, therefore:

x ≤ -27

It will take approximately 2.6 years to increase the investment by 55%. It will take approximately 14.5 years to triple the investment.

(a) To triple the investment, we need to find the time it takes for the investment to grow by a factor of 3. Using the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.
We know that r = 24%, compounded monthly, so we can convert the annual interest rate to a monthly rate:
r/monthly = 24%/12 = 2% per month
We also know that we want the investment to triple, which means A/P = 3. Plugging in the values:
3 = (1 + 0.02)^(12t)
ln(3) = 12t * ln(1 + 0.02)
t = ln(3) / (12 * ln(1 + 0.02)) ≈ 14.5 years

(b) To increase the investment by 55%, we need to find the time it takes for the investment to grow by a factor of 1.55. Using the same formula:
1.55 = (1 + 0.02)^(12t)
ln(1.55) = 12t * ln(1 + 0.02)
t = ln(1.55) / (12 * ln(1 + 0.02)) ≈ 2.6 years
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Answer:

-2 = -6

Step-by-step explanation:

first, you type -2 in the left box and -6 in the middle box

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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The correct answer is d. all of the above. All three types of van der Waals forces can be present in condensed phases, which include liquids and solids.

These forces are:

Hydrogen bonding: Hydrogen bonding occurs when a hydrogen atom is bonded to a highly electronegative atom (such as oxygen, nitrogen, or fluorine) and forms a weak bond with another electronegative atom in a neighboring molecule. This type of bonding is responsible for many unique properties of water and plays a significant role in the structures of biological molecules like proteins and DNA.

Dipole-dipole bonding: Dipole-dipole forces arise from the interaction between the positive end of one polar molecule and the negative end of another polar molecule. These forces contribute to the stability and physical properties of substances such as alcohol and acetone.

Dispersion forces: Dispersion forces, also known as London dispersion forces, are the weakest type of van der Waals forces. They result from temporary fluctuations in electron distribution, causing temporary dipoles in nonpolar molecules. Dispersion forces are present in all molecules, regardless of their polarity, and they become stronger with increasing molecular size.

In condensed phases, all three types of van der Waals forces can exist and contribute to the overall intermolecular interactions, influencing the properties and behavior of the substance.

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Answer:

56°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sin ? = \(\frac{opposite}{hypotenuse}\) = \(\frac{10}{12}\) , then

? = \(sin^{-1}\) (\(\frac{10}{12}\) ) ≈ 56° ( to the nearest degree )

To find the Jacobian of the transformation, we need to calculate the partial derivatives of x and y with respect to u and v:

∂x/∂u = 1

∂x/∂v = 0

∂y/∂u = 2v

∂y/∂v = 2u

So the Jacobian matrix is:

J = | ∂x/∂u   ∂x/∂v |

   | ∂y/∂u     ∂y/∂v |

    | 1      0 |

    | 2v 2u |

And the Jacobian determinant is:

|J| = (1)(2u) - (0)(2v) = 2u

To sketch the region g, we need to find the values of u and v that satisfy the inequalities:

1 ≤ u ≤ 2

2 ≤ 2uv ≤ 4

Dividing both sides of the second inequality by 2v, we get:

1/v ≤ u ≤ 2/v

If we plot the lines u = 1/v and u = 2/v on the uv-plane, we see that they intersect at v = 1 and v = 2, as shown below:

     |       /

2/v |     /

     |   /

     | /  

     |/  

--------------> u

    /|

  /  |

/    |

/     |

1/v   |

Therefore, the region g is the trapezoidal region bounded by the lines u = 1/2, u = 1, u = 2, and the x-axis:

     |       /

     |     /|

     |   /  |

     | /    |

----------------------> u

    /|

  /  |

/    |

/     |

Note that the sides of the trapezoid are the images of the lines v = 1/2 and v = 2 under the transformation x = u, y = 2uv.

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Answer:

10

Step-by-step explanation:

F(x) = 3x+1, for f. 3)

3x3=9

9+1=10

Dyscalculia is a learning disorder that affects a person’s ability to do the math.

A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.

The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.

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Answer:5,8

Step-by-step explanation:

x^2= 3^2 + 5^2

x^2= 9 + 25

x^2= 34

x = (square root)34

x= 5,8

Answer:

x = \(\sqrt{34}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

x = \(\sqrt{34}\) ← exact value

x ≈ 5.83 ( to 2 dec. places )

Based on the table,

If Silversmith's budget is only 200 dollars then it is better for him to take classes at studio B, with the options that can be seen in the table that with 200 dollars you can take as many as 5 classes

Because Studio A only charges an initial fee of 100 dollars and 25 dollars per class. because with that 200 dollars in Studio A he can get 4 classes that can be followed.

with an initial fee of 100 dollars then there is a remaining 100 dollars when divided by 25 dollars per class it produces only 4 classes.

If he wants to take 15 more classes he should choose studio A because as more classes are taken the initial fee will still be 100,000 and the cost per class will be 25 dollars and that results in slightly cheaper costs than studio B.

Your question is incomplete but most probably your full question was:

A silversmith compares the prices of jewelry-making classes at two Native American studios, Studio A charges a $100 initial fee and $25 per class. The table shows the prices at Studio B.

Which studio should the silversmith attend if he has exactly $200 to spend? Which studio should the silversmith attend if he plans to take 15 or more classes?

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Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

Option A) A = 100(1.005)^12t

Step-by-step explanation:

The formula for Total Amount obtained using compound interest is given as:

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

Where

A = Total amount received or obtained after investing

P = Principal or Initial Amount invested

r = interest rate

n = rate or number of times the interest is compounded

t = time in years.

In the question we obtained this values

P = $100

r = 6% = 0.06

n = compounded monthly, we have 12 months in a year, hence, n = 12

t = t

Using the compound interest formula for Amount A,

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

A = 100(1 + 0.06/12)^12 × t

A = 100(1 + 0.005)^12t

A = 100(1.005)^12t

Therefore, the value of Mari's Investment if the interest is compounded monthly is

A = 100(1.005)^12t

Hence, Option A is correct.

Answer:

48%

Step-by-step explanation:

The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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The grids have no numeric values, I'll assume values of 1,2,3, etc.

Answer:

Answers below

Step-by-step explanation:

The Domain of a Function

Is the set of values the input variable x takes.

Range of a Function

It's the set of values the function takes when x moves into the function's domain.

A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.

Question 4.

The input set is {-3,-2,-1,0,1,2}.

Every element of the input set is related to element(s) in the output set, thus the domain is: {-3,-2,-1,0,1,2}.

The output set is {-2,0,2,4}

Every element of the output set is related to element(s) in the input set, thus the range is: {-2,0,2,4}.

Since each element in the domain relates to only one element in the range, this is a function.

Question 5:

Domain: {-3,-1,1,23}

Range: {-3,-1,0,2,3}

The input element -1 is related to elements -1 and 2. Thus this is NOT a function.

Answer: 5

the scale length of 15cm and 3cm is 15/3 = 5

Step-by-step explanation:

Answer:4x-8 + 36 = 180

x=38

Step-by-step explanation:

The true statement is: "Octave is the name of a particular interval size."

In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.

An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.

The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.

The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.

Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.

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Answer:

False

Step-by-step explanation:

Let's just analyze it.

x=2 if and only if |x|=2

That can be rewritten as:

if x = 2 then |x| = 2

AND

if |x| = 2 then x = 2

Let's solve each one separately:

we have x = 2

we can simply get |x| by removing the sign, if any. There is none, so |x| = 2.

The first part checks out.

we have |x| = 2

As with absolute values, this means that either x = 2 or x = -2

So we know from |x| that x is either 2 or -2, but the logical statement said "if |x| = 2 then x = 2", which is too specific - it forgets about -2.

The second part is false.

Overall, we now know that "X=2 if and only if |x| = 2" is false because x = -2 is a counterexample. We get: "False if and only if True" which itself is false.

The number line that shows the solution of the inequality x>3 must have its arrow starting in 3 with an empty circle (since 3 must not be included), and the arrow must be pointing to the right, where the values are greater than 3.

It should look like this:

The point estimate for the average quiz score for the entire class is 10 , the correct option is (d) .

In the question ,

it is given that ,

the scores of the quiz for the class is 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

we have to find the point estimate for the quiz score ,

we know that the point estimate is the mean of the sample drawn .

So , the mean of the score can be calculated using the formula ,

mean = (sum on scores) / (total number of students in class)

the sum is = 6 + 9 + 16 + 14 + 8 + 7 + 12 + 4 + 13 + 11

= 100

and the number of observation are 10 ,

So , mean = 100/10 = 10

point estimate is also = 10 .

Therefore , the point estimate for the entire class is 10 .

The given question is incomplete , the complete question is

Use the following sample data that represent quiz scores , the scores are 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

Calculate a point estimate for the average quiz score for the entire class.

(a) 8

(b) 11

(c) 12

(d) 10

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The total area of the desk is 24 square feet.

To find the total area of the desk, we need to first find the area of one trapezoid and then double it since there are two parts.
To do this, we need to know the formula for the area of a trapezoid, which is:
A = ((b1 + b2) / 2) × h
where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.
In this case, we know that the height is 3 feet. We also know that one of the parallel sides of the trapezoid is 4 feet, but we don't know the length of the other parallel side. Let's call that length x.
To find x, we can use the fact that both trapezoids together make up the width of the desk, which we can assume is the length of Noshi's office. Let's say her office is 8 feet wide. Then the total length of the two trapezoids combined must be 8 feet. Since one of the trapezoids has a parallel side of 4 feet, the other trapezoid must have a parallel side of 8 - 4 = 4 feet as well.
Now we can use the formula for the area of a trapezoid to find the area of one of the trapezoids:
A = ((b1 + b2) / 2) × h
A = ((4 + x) / 2) × 3
A = (2 + x/2) × 3
A = 6 + 3x/2
To find the total area of the desk, we need to double this since there are two trapezoids:
Total area = 2 × (6 + 3x/2)
Total area = 12 + 3x
Now we just need to plug in the value we found for x earlier:
Total area = 12 + 3(4)
Total area = 24 square feet
Therefore, the total area of the desk is 24 square feet.
Hi! To find the total area of the desk, we first need to calculate the area of one trapezoid and then double it. The formula for the area of a trapezoid is:
Area = (1/2) × height × (base1 + base2)
In this case, the height is 3 feet, base1 is 4 feet, and we need to find base2. Assuming base2 is also 4 feet (since the desk parts are identical):
Area of one trapezoid = (1/2) × 3 ft × (4 ft + 4 ft) = (1/2) × 3 ft × 8 ft = 12 square feet
Now, we double the area to account for both parts of the desk:
Total area of the desk = 2 × 12 sq ft = 24 sq ft

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