Luke can paint 91 portraits in a week how many portraits can Luke paint in for weeks

\(~~~~~~6x-21 > 5\\\\\implies 6x > 5+21\\\\\implies 6x > 26\\\\\implies x > \dfrac{26}6\\ \\\implies x > \dfrac{13}{3}\\\)

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The monthly net income to keep housing a 30% of his budget is $7000.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Cost of monthly housing per month = $2100

$2100 = 30%

Monthly income = 100%

30% = 2100

Multiply 100/30 on both sides.

100/30 x 30% = 100/30 x 2100

100% = 7000

Thus,

The monthly net income to keep housing a 30% of his budget is $7000.

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Answer:

Step-by-step explanation:

\( {(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\\)

Step-by-step explanation:

d num i think 2((2x)^2+(3y)^2)

Answer:

Angle Pair 1 and 5 are A, C, and E - Corresponding Angles, Supplementary Angles, and Congruent Angles

Step-by-step explanation:

1 and 5 are Corresponding angles because of their placement, Supplementary angles because the are more than 90 degrees, and Congruent Angles because they are the same degrees (which you know because corresponding, alternate interior, and alternate exterior angles are always the same degrees AKA congruent).

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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The range of the function f include the following: [-20, ∞].

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following range and domain:

Range = [-20, ∞] or -20 ≤ y ≤ ∞.

Domain = [-∞, ∞] or -1 < x < ∞.

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The solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

The equation 4x^2 - 20x + 25 = 10 can be rewritten as 4x^2 - 20x + 15 = 0. To find the solutions to this equation, we can factor it or use the quadratic formula.

The equation factors as (2x - 5)(2x - 3) = 0. Setting each factor equal to zero, we get 2x - 5 = 0 and 2x - 3 = 0. Solving these equations, we find x = 5/2 and x = 3/2.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± sqrt(b^2 - 4ac)) / 2a, we can determine the solutions.

In this case, a = 4, b = -20, and c = 15. Substituting these values into the quadratic formula, we get x = (-(-20) ± sqrt((-20)^2 - 4 * 4 * 15)) / (2 * 4), which simplifies to x = (20 ± sqrt(400 - 240)) / 8.

Simplifying further, we have x = (20 ± sqrt(160)) / 8, which becomes x = (20 ± 4sqrt(10)) / 8. Finally, simplifying again, we obtain x = 5/2 ± sqrt(10)/2, which gives us the same solutions as before: x = 5/2 and x = 3/2.

Therefore, the solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

To find the solutions to the equation, we can either factor it or use the quadratic formula. In this case, factoring and using the quadratic formula both yield the same solutions: x = 5/2 and x = 3/2. These values of x satisfy the equation 4x^2 - 20x + 25 = 10 when substituted back into the equation.

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The magnitude of the torque is 63 N·m, and its direction is along the positive y-axis.

The torque about the origin on a plum located at coordinates (-3 m, 0 m, 7 m) due to force F with component Fx = 9 N can be calculated using the torque formula:

Torque = r x F

Here, r represents the position vector (from origin to the plum), and F is the force vector. In this case, r = <-3, 0, 7> and F = <9, 0, 0>.

To find the torque, we need to compute the cross product of r and F:

Torque = <-3, 0, 7> x <9, 0, 0>

The cross product is given by:

Torque = <0(0) - 7(0), 7(9) - 0(0), -3(0) - 0(9)>
Torque = <0, 63, 0>

The magnitude of the torque is:

|Torque| = sqrt(0² + 63² + 0²) = 63 N·m

The direction of the torque is in the positive y-axis, as indicated by the non-zero component in the torque vector.

In summary, the magnitude of the torque is 63 N·m, and its direction is along the positive y-axis.

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Answer:

Do it your self

Step-by-step explanation:

Answer:

1. The bisector in example 1 is correct.

2. The bisector in example 2 is incorrectly constructed.

Step-by-step explanation:

1. A bisector bisects an angle into two equal angles.

In example 1, angle BAD is equal to angle CAD.

2.A bisector bisects an angle into two equal angles.

In example 2, the produced angles are not equal.

Angle BAD ≠ Angle CAD.

Answer:

The correct answer is Example 1.

If the sample selection was perfect, the difference between the sample and population averages would be zero.

We have,

The sample would be representative of the population, and the statistics calculated from the sample would accurately reflect the characteristics of the population.

However, in practice, it is often difficult to achieve a perfectly representative sample.

Sampling bias, which occurs when some members of the population are more likely to be selected than others, can lead to differences between the sample and population averages.

Therefore, it is important to use appropriate sampling techniques and methods to minimize sampling bias and ensure that the sample is as representative of the population as possible.

Thus,

If the sample selection was perfect, the difference between the sample and population averages would be zero.

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Answer:

Step-by-step explanation:

Apply the prime factorization method: \(5^2\)

⇒ \(Answer:5^2\)

Definition of prime factorization:

The factorization of a positive integer into its constituent prime numbers.

Hi student, let me help you out! :)

. . . .  . . . . . . . . . . . . . . . . . . . . . . . . . .. .  . .. . .  . . . . . . .. . . . . . .  .. . . .

We are asked to write 25 as a product of two primes.

A prime number is a number that can only be divided by 1 and itself.

So if we multiply two such numbers, we'll get 25.

These numbers are 5 and 5; 5 is only divisible (evenly) by 1 and itself.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

=======================================================

If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that

\(|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}\)

Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.

---------

So we have,

|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2

As long as a < 7, the result of |a-7| - |a-9| will always be -2.

---------

As an example, let's say a = 0

|a-7| - |a-9| = |0-7| - |0-9|

|a-7| - |a-9| = |-7| - |-9|

|a-7| - |a-9| = 7 - 9

|a-7| - |a-9| = -2

I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.

Answer:

13x = 13

Step-by-step explanation: 2(5x-3)= 10x -6  3x + 10x = 13x-6=7

6+7=13=  13x =13

Answer:

 = 1

Step-by-step explanation:

3x + 2 (5 x - 3 ) = 7

3x + 10x - 6 = 7

your gonna combine 3x + 10x - 6 = 7

13x -6 = 7

(sorry if wrong)

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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Answer: 41. A) 0      42. B) 1/12       43. B) 16

Step-by-step explanation:

The pattern is: multiply the bottom row and subtract the top number.

Sample: 3 x 2 - 5 = 1

              5 x 3 - 6 = 9

              2 x 1 - 1 = 1

41) 7 x 13 - x = 91

         91 - x = 91

                x = 0

42)   1/2 x 1/2 - 1/6 = x

             1/4    - 1/6 = x

          3/12 - 2/12 = x

                     1/12 = x

Check the fractions. I had to guess what the denominators are because the image is blurry.                          

43)  8 x 3 - 8 - x

          24 - 8 = x

                16 = 0

Answer:

\(f^{-1}(x)=\dfrac{x}{\boxed{5}}+\boxed{3}\)

Step-by-step explanation:

Given function:

\(f(x)=5x-15\)

An inverse function is a reflection of the function in the line y = x.

To find the inverse of the given function, replace f(x) with y to get an equation for y in terms of x:

\(\implies y=5x-15\)

Rearrange the equation to make x the subject:

\(\implies y+15=5x-15+15\)

\(\implies y+15=5x\)

\(\implies 5x=y+15\)

\(\implies \dfrac{5x}{5}=\dfrac{y}{5}+\dfrac{15}{5}\)

\(\implies x=\dfrac{y}{5}+3\)

Replace x with f⁻¹(x) and y with x. This is the inverse function:

\(\implies f^{-1}(x)=\dfrac{x}{5}+3\)

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Answer:

2/3

Step-by-step explanation:

I checked on desmos.

Answer:

8

Step-by-step explanation:

is the median

give email id

The vertex focus of the parabola is (3,15) and the directrix is x=3.

1. Rewrite the equation in the form y = a(x - h)^2 + k

y = x^2 - 6x + 15

y = 1(x - 3)^2 + 15

2. The vertex focus is (h, k) = (3, 15)

3. The directrix is x = h = 3

By rewriting the equation in the form of y = a(x - h)^2 + k, we can find the vertex focus and directrix of the parabola. The vertex focus of a parabola is the point at which the graph changes direction, and is equal to (h, k). The directrix is the line at which the vertex focus is located, and is equal to x = h. For this equation, h = 3 and k = 15, so the vertex focus is (3, 15) and the directrix is x = 3.

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If we standardize both variables what would the regression equation the mortgage amount will be 220.88 and the interest amount will be 7.768.

\(b_1\) = r*\(S_{xy}/S_{xx}\)

= -0.84

\(b_0 = y - b_1x\)

Regression model is used to identify the relation between two variables.In the relation between two variables.

From the given question the regression model fits best to identify the mortgage amount from interest rates.

The interest rate and mortgage both are quantitative values so the regression model is most suitable for this given condition.

Therefore If we standardize both variables what would the regression equation the mortgage amount will be 220.88 and the interest amount will be 7.768.

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Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

Hello !

1 - a

2 - d

3 - b

4 - c

Answer: 6•(n+6)

Step-by-step explanation:

n is number

can be any letter

Answer:

6(n+6)

Step-by-step explanation:

the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer  6(n+6)

Answer:

12/3=16/p hsjsjnaoanw

Answer:

x = b-a-y

Step-by-step explanation:

Answer:

X=B-A-Y

Step-by-step explanation:

X+Y=B-A

subtract the y and it will fall onto the other side

so your answer will be x=b-a-y cause the y turned negative to cancel out the y that is ear the x.  

The Area of triangle with the given height 10 cm and base 6 cm is calculated to be  30 square centimeters.

To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:

Area = (1/2) x Base x Height

Substituting the given values, we get:

Area = (1/2) x 6 cm x 10 cm

Area = 30 square cm

Therefore, the area of the triangle is 30 square centimeters.

We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.

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The complete question is :

Calculate the Area of triangle with the height 10 cm and base 6 cm .

Answer:

Yes, Nevin scored 96 points.

Step-by-step explanation:

\((58 \times 1.75) - (22 \times .25)\)

\(101.5 - 5.5 = 96\)