An art teacher is making packages of paintbrushes and plant for his students.
He has 24 brushes and 40 tubes of paint. Each package will have the same number
of brushes and the same number of tubes of paint.
a. What is the greatest number of packages that the art teacher can make using
all the paintbrushes and paint? Show your work.

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Based on the information, it should be noted that there be 67 adults and 733 students in the auditorium.

Let adults tickets = a

Let students tickets = s

The auditorium at McCaskey East High School in Lancaster, PA has 800 seats. This will be:

a + s = 800 ..... i

Therefore, suppose that the drama club has a goal of making $3400. This will be:

7a + 4s = 3400 ..... ii

From equation i, a = 800 - s.

7a + 4s = 3400

7(800 - s) + 4s = 3400

5600 - 7s + 4s = 3400

Collect like terms

-7s + 4s = 3400 - 5600

3s = -2200

s = 2200 / 3

s = 733

a = 800 - 733 = 67

Therefore, there'll be 67 adults and 733 students.

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Answer:

all of them

Step-by-step explanation:

Answer: 6^2

Step-by-step explanation: because the perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. <3

Answer:

\(x^{2}\)+3x-18=0

Step-by-step explanation:

3x-18= -\(x^{2}\)

+\(x^{2}\)       +\(x^{2}\)

----------------------

\(x^{2}\)+3x-18=0

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Answer:

7/5 or 1.4

Step-by-step explanation:

1. Cross multiply. 5(2x-1)= 3(3)

2. Simplify and add 5. 10x -5= 9.     10x = 14

3. Divide by 10. 10x/10 = 14/10

X= 14/10= 7/5 or 1.4

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The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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linearly independent sets of vectors form the building blocks of vector spaces, and understanding when sets of vectors are linearly dependent is crucial to understanding the structure of these spaces.

Suppose {u, v} is linearly dependent. Then there exist scalars a and b, not both zero, such that au + bv = 0. Without loss of generality, assume a is not zero. Then we can write u = -(b/a)v, which shows that u is a multiple of v. Similarly, if we assume b is not zero, we can write v = -(a/b)u, which shows that v is a multiple of u. Therefore, we have shown that if {u, v} is linearly dependent, then either u or v is a multiple of the other.

Conversely, suppose u = kv for some scalar k. Then ku + (-1)v = 0, so {u, v} is linearly dependent. Similarly, if v = ku for some scalar k, then (-1)u + kv = 0, so {u, v} is linearly dependent. Therefore, we have shown that if either u or v is a multiple of the other, then {u, v} is linearly dependent.

In conclusion, we have shown that {u, v} is linearly dependent if and only if u or v is a multiple of the other. This result is important in linear algebra because linearly independent sets of vectors form the building blocks of vector spaces, and understanding when sets of vectors are linearly dependent is crucial to understanding the structure of these spaces.

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The best way to analyze their data for significance is to Conduct a two-way variable analysis.

As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).

It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).

Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.

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\(x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81\)

The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

Answer:

$464

Step-by-step explanation:

The value of the equation is r = ( 1/2 ) ( A / 3L - πR )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 3L ( 2r + πR )   be equation (1)

Now , on simplifying the equation , we get

( 2r + πR ) = A / 3L

Subtracting πR on both sides of the equation , we get

2r = A / 3L  - πR

Divide by 2 on both sides of the equation , we get

r = ( 1/2 ) ( A / 3L - πR )

Therefore , the value of r is ( 1/2 ) ( A / 3L - πR )

Hence , the equation is r = ( 1/2 ) ( A / 3L - πR )

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The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.

In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:

C(8,5) = 56

The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:

C(1,2) * C(7,3) = 35

Therefore, the probability of drawing the blue marble twice is:

P = 35/56 = 0.625.

The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

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Answer:

m=96

Step-by-step explanation:

\(\frac{15}{8}m-11=\frac{7}{4}m+1\\\\\frac{15}{8}m -\frac{7*2}{4*2}m=1+11\\\\\frac{15-14}{8}m=12\\\\\frac{1}{8}m=12\\\\m=12*8\\\\m=96\)

The general solution to the differential equation `dy/dx = cos(8x)cos(4y)` is given below:Main Answer:Separating the variables in the given differential equation, we have `dy/cos(4y) = cos(8x) dx`Integrating both sides, we get:`1/4 sin(4y) = 1/8 sin(8x) + C`where C is the constant of integration.

Now, solving for y, we get:`y = 1/4 sin^{-1}(2sin(8x) + C)`where `sin^{-1}` denotes the inverse of sine function. So, this is the general solution to the given differential equation.Explanation:Given differential equation:`dy/dx = cos(8x)cos(4y)`Separating the variables:`dy/cos(4y) = cos(8x) dx`Integrating both sides:`∫ dy/cos(4y) = ∫ cos(8x) dx``1/4 ∫ sec^2(4y) dy = 1/8 sin(8x) + C``1/4 tan(4y) = 1/8 sin(8x) + C`

Now, solving for y:`tan(4y) = 1/2 sin(8x) + C`Dividing both sides by 4, we get:`y = 1/4 tan^{-1}(1/2 sin(8x) + C)`However, the inverse of the tangent function is a bit messy, so we use the identity:`tan^{-1}(x) = 1/2 i ln((i+x)/(i-x))`where `i` is the imaginary unit. Plugging in, we get:`y = 1/4 i ln((i+1/2 sin(8x) + C)/(i-1/2 sin(8x) - C))`This is the general solution to the given differential equation.

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Answer:

Step-by-step explanation:

5.2*9= 46.8

Do you want to know how to find the answer? :/

The number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if he must ride in a different coach is 665,280.

The number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if they must ride in a different coach is given by :

12 × 11 × 10 × 9 × 8 × 7

This is because the first policeman can be assigned to any of the 12 coaches. Once he has been assigned to a coach, the second policeman can be assigned to any of the remaining 11 coaches.

Continuing in this way, the number of ways in which the policemen can be assigned to the coaches is:

12 × 11 × 10 × 9 × 8 × 7

Therefore, the number of ways in which 6 policemen can be assigned to 12 coaches of a passenger train if he must ride in a different coach is 665,280.

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The z-score of the value 62 in the distribution is -4.25

From the question, the given parameters about the distribution are

Mean value of the set of data = 79

Standard deviation value of the set of data = 4

The actual data value = 62

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (62 - 79)/4

Evaluate the difference

z = -17/4

Evaluate the quotient

z = -4.25

Hence, the z-score is -4.25

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The equation for width l(w)=110-w and for area A(w)=110w-w2.

The perimeter of the Rectangle could be considered one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. In Maths, you will come across many geometric shapes and sizes, which have an area, perimeter, and even volume (for 3-d figures).

The minimum area of the zoo is 3200 m2. for animals and 25 people.

(a)

The client has 220m of fencing to enclose the zoo.

P=2(l+w)

220=2(l+w)

we have A= l.w

3200=l.w

w = 3200/l

hence, the equation is -

\(220=2(l+\frac{3200}{l})\\110l=l^2+3200\\l^2-110l+3200=0\)

l(w)=110-w

(b) The equation for A(w) is-

A=l.w and l=110-w

A(w)=(110-w)w

\(A(w)=110w-w^2\)

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Answer: for the first one it would be y=.8x-100 and the other answer would be 180

Let me know ASAP pls if it’s correct I found the answer online

Answer:

Full answer is

.8 for 1st one

and 360 for 2nd one

Step-by-step explanation:

Correct answer was given after wrong one.

The value of a of the given cube root expression is: a = 1

The cube root of a number is defined as that number which when  multiplied 3 times gives us the original number. Whenever a number (x) is multiplied three times, then we can say that the resultant number is known as the cube of that number.

We are given the expression as:

∛(81x¹⁵y⁹)

Now, expressing this individually gives us the expression:

\(81^{\frac{1}{3} } * x^{\frac{15}{3}} * y^{\frac{9}{3}}\)

= 3¹x⁵y³

Thus, a = 1

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Answer:

Yes it can!

Step-by-step explanation:

In the given triangles,
∠B = ∠F
Also, ratio of sides given are
2.3/13.8 ≈ 1.67 -> (i)
And 1.9/11.4 ≈ 1.67 -> (ii)
Thus, (i) = (ii)
∴ AB/BF = BC/DF

So we can prove both triangles are similar as the two sides are proportional and the angle between the corresponding sides are equal, so we can use the SAS similarity postulate as the two sets of corresponding sides are proportional and the included angles are congruent .

Answer:

2/5

Step-by-step explanation:

2/5=4/10

Answer:

2/5 is great because it's 40%

3/10 is 30%

so 2/5 is greater

The Taylor series expansion of f(x) centered at a = 0 is:

f(x) = 7x² + (7/2)x⁴ + ...

To find the Taylor series expansion of the function f(x) = 7x² cos(x³) centered at a = 0, we need to compute its derivatives and evaluate them at x = 0.

Let's begin by calculating the derivatives of f(x):

f'(x) = d/dx [7x² cos(x³)]

      = 14x cos(x³) - 21x⁴ sin(x³)

f''(x) = d²/dx² [7x² cos(x³)]

       = 14 cos(x³) - 42x² sin(x³) - 63x⁵ cos(x³)

f'''(x) = d³/dx³ [7x² cos(x³)]

        = -126x sin(x³) - 105x⁴ cos(x³) - 315x⁷ sin(x³)

To find the general form of the Taylor series expansion, we can evaluate the derivatives at x = 0:

f(0) = 7(0)² cos(0³) = 0

f'(0) = 14(0) cos(0³) - 21(0)⁴ sin(0³) = 0

f''(0) = 14 cos(0³) - 42(0)² sin(0³) - 63(0)⁵ cos(0³) = 14

f'''(0) = -126(0) sin(0³) - 105(0)⁴ cos(0³) - 315(0)⁷ sin(0³) = 0

Now we can write the Taylor series expansion by using the derivative evaluations:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

Substituting the values we calculated:

f(x) = 0 + 0x + (14/2!)x² + (0/3!)x³ + ...

Simplifying, we have:

f(x) = 7x² + (7/2)x⁴ + ...

Therefore, the Taylor series expansion of f(x) centered at a = 0 is:

f(x) = 7x² + (7/2)x⁴ + ...

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A triangle with an angle measuring 135 degrees is classified as an obtuse triangle, but its side lengths cannot be determined without additional information.

The classification of this triangle would be the "obtuse triangle." To classify a triangle by its sides and by measuring its angles, we will use two concepts called "triangle sides" and "triangle angles." The "triangle sides" classify the triangle by the length of its sides, while the "triangle angles" classify the triangle based on its angles. Let's first classify a triangle by its sides:

A triangle is a polygon with three sides. The classification of triangles is determined by their sides. When it comes to their sides, they may be classified as equilateral, isosceles, or scalene: An equilateral triangle has three sides that are of equal length.

An isosceles triangle has two sides that are of equal length. A scalene triangle has three sides that are all of different lengths. Next, let's classify a triangle by measuring its angles: When we classify a triangle by measuring its angles, we have three types: acute, right, and obtuse.

When a triangle has an angle that is less than 90 degrees, it is referred to as an acute triangle. When a triangle has an angle that is 90 degrees, it is known as a right triangle. When a triangle has an angle that is more than 90 degrees, it is known as an obtuse triangle.

Using these concepts, we can classify a triangle with the measurement of 135 degrees in the following ways: 135 degrees is more than 90 degrees, so it is an obtuse triangle. Additionally, there is no information given about the length of its sides, so we cannot classify the triangle based on the length of its sides.

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Answer:Jesus

Step-by-step explanation: Jesus is always the answer, kiddo