A box is 11 inches high, 18 inches long and 8 inches wide. What is the longest poster you could fit in the box? Explain why you can only fit one maximum length poster in the box but you can fit multiple 21 inch posters in the same box

The area of a parallelogram with base of 10 inches and height of 5 inches is 50 in²

An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.

The area of a parallelogram is the product of its base and height. It is given as:

Area = base * height

For a parallelogram with base of 10 in and height of 5 in:

Area = base * height

Area = 10 in * 5 in = 50 in²

The area is 50 in²

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Answer:

Let's call the unknown number "x". According to the problem, we know that:

x * (x - 6) = 27

Expanding the left side of the equation, we get:

x^2 - 6x = 27

Subtracting 27 from both sides, we get:

x^2 - 6x - 27 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -6, and c = -27, so:

x = (-(-6) ± sqrt((-6)^2 - 4(1)(-27))) / 2(1)

x = (6 ± sqrt(180)) / 2

x = (6 ± 6sqrt(5)) / 2

x = 3 ± 3sqrt(5)

So the two possible solutions are:

x = 3 + 3sqrt(5) ≈ 8.746

x = 3 - 3sqrt(5) ≈ -2.746

Since the problem statement doesn't specify whether the number should be positive or not, both solutions are valid.

Answer: The answer could be 9 or -3.

Step-by-step explanation: The product(multiply) of a number(x) and 6 less than a number(x-6) is 27.

x(x-6)=27

x^2-6x-27=0

(x-9) (x+3)=0

x=9 or x=-3

The number is 9 or -3.

The definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.

To find the definite integral of ∫ 2t⁻⁴ dt, we can use the power rule of integration. The power rule states that the integral of t^n with respect to t is (t^(n+1))/(n+1), where n is a constant not equal to -1.

Applying the power rule, we have:

∫ 2t⁻⁴ dt = 2 * (t^(-4 + 1))/(-4 + 1) + C

= -2/3 * t^(-3) + C

where;

Thus, the definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.

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Answer:

$9.10 per person

Step-by-step explanation:

34 / 4 is 8.50

15% is 2.40, then divided 2.40 by 4 and get 0.60.

0.60 + 8.50 = 9.10 per person

according to the question the distance between the points (1, 5) and (3, 8) is √13 units.

Distance is an object's total, aimless movement. Without regard to whether an object represents a starting or finishing point, distance can be defined as the total distance travelled. Distance is referred to as the breadth or height of the difference between two locations. It should be highlighted that the distance between each of the vantage points as well as the distance travelled from one to the other are not the same thing. The total length of a path connecting two locations counts as the distance travelled. Distance is the real distance that a body travels. It also goes by the name "path length." For instance, the length of the route for an object moving from point O to point P would be OP = 360 m.

given,

To find the distance between the points (1, 5) and (3, 8), we can use the distance formula:

distance = √[(x2 - x1)² + (y2 - y1)²]

Substituting the given values, we get:

distance = √[(3 - 1)² + (8 - 5)²]

distance = √[4 + 9]

distance = √13

Therefore, the distance between the points (1, 5) and (3, 8) is √13 units.

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The amounts needed to make 6 servings are given as follows:

The needed amounts to make 6 servings of the recipe are obtained applying the proportions in the context of the problem.

From the first line of the table, we get the amounts of sauce and oregano per serving are follows:

Hence the amounts for six servings are given as follows:

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Answer: should be 24?

Step-by-step explanation:

im not sure

If 31.2 out of every 100 pregnant women in India deliver their babies by C-section.

First, we need to find the fraction of pregnant women who deliver by C-section

31.2 out of 100 = 31.2/100 = 0.312

Then, we can use this fraction to find the number of pregnant women out of 85,733 who would be expected to deliver by C-section.

0.312 x 85,733 = 26,723.896

Rounding to the nearest whole number, we get

26,724 pregnant women.

26,724 pregnant women out of 85,733 would be expected to deliver by C-section.

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Answer:

I'm sorry, but I'm not sure what you are trying to convey with the string of characters "C 17 39 511 -U D 28 4 10 6". It doesn't appear to be a meaningful sentence or question. Could you please provide me with more information or context so I can better understand what you are trying to communicate?

Step-by-step explanation:

A histogram would be the most effective graphic depiction to compare the distribution of the hours spent online among teenagers, young adults, and the elderly.

What is a histogram ?

A histogram is a graph that displays the distribution of a continuous variable. It divides the data into a set of intervals (called bins) and counts the number of data points that fall into each bin.

This creates a bar-like representation of the data, with the height of each bar indicating the frequency of data points in that bin. By using a histogram, we can see the shape of the distribution, as well as any patterns or trends that may exist. We can compare the distribution of the hours spent online by teenagers, young adults, and the elderly by placing the histograms of their data side by side. This will allow us to visually compare the shape, spread, and central tendency of the distributions for each group. Additionally, we can use different colors for each group to make the comparisons even clearer. This will enable us to quickly see if there are any significant differences in the hours spent online among the three groups.

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A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.

The step in which Johnetta made her error include the following: A. step 1.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, the division can be calculated as follows;

Fraction = (-5/8) ÷ (-3/4)

Fraction = -5/8 × (-4/3)

Fraction = -20/24

For Johnetta, we have:

Fraction = 7/9 ÷ 3/8

Fraction = 7/9 × 8/3

Fraction = 56/27

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A circumscribed angle is an angle that has its vertex on the circumference of a circle and whose sides are chords of the circle. The measure of a circumscribed angle is equal to half the measure of the intercepted arc. Circumscribed angles are important in geometry because they are used to prove theorems about angles, chords, and arcs in circles. The opposite angles of a cyclic quadrilateral are always supplementary, and the sum of the angles in a cyclic polygon is always equal to (n-2)180 degrees, where n is the number of sides of the polygon.

The value of angle B and C are 63° and 61° respectively.

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

Therefore;

32/sin56 = 34/sinC

32sinC = 34sin56

32sinC = 28.187

divide both sides by 32

sinC = 28.187/32

sinC = 0.88

C = sin^-1(0.88)

C = 61°( nearest degree)

The sum of angle in a triangle is 180°

therefore, B = 180-(61+56)

B = 180-(117)

B = 63°

therefore the value of angle B and C are 63° and 61°.

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The sequences that show that the two figures are similar, but not congruent, are:

This sequence includes a dilation with a different scale factor for each figure and reflections, which preserve the shape of the figures but not their size or orientation.

In conclusion, the correct options are A and C

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A box contains 5 orange pencils, 8 yellow pencils, and 8 green pencils. Two pencils are selected, one at a time, with replacement.

There are a total of 21 pencils in the box.

The probability of selecting a green pencil on the first draw is 8/21, since there are 8 green pencils out of 21 total.

After replacing the first pencil, there are still 21 pencils in the box, including 8 yellow pencils.

The probability of selecting a yellow pencil on the second draw, given that a green pencil was selected first, is 8/21.

By the Multiplication Rule of Probability, we can multiply these probabilities together to find the probability of both events occurring

P(green and yellow) = P(green) × P(yellow|green)

P(green and yellow) = (8/21) × (8/21)

P(green and yellow) = 64/441

Therefore, the probability of selecting a green pencil first and a yellow pencil second is 64/441 or approximately 0.145.

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Therefore, the value of f(m-2) is 5/(m-2) + 2, and the value of function g(1/2) is 2.

In mathematics, a function is a rule or correspondence between two sets, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). A function is often represented by a formula, equation, or graph.

Here,

1. To find f(m-2), we substitute (m-2) for x in the expression for f(x):

f(m-2) = 5/(m-2) + 2

So the value of f(m-2) is 5/(m-2) + 2.

2. To find g(1/2), we substitute 1/2 for x in the expression for g(x):

g(1/2) = -2(1/2) + 3

So the value of g(1/2) is -1 + 3, which simplifies to 2.

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Answer:

To find -5u, we simply need to multiply each component of u by -5:

-5u = -5<-9, 2> = <(-5)(-9), (-5)(2)> = <45, -10>

Therefore, -5u is equal to the vector <45, -10>.

Considering the binomial random variable, the probabilities are:

a. 0.1611

b. 0.8915

c. 0.7588

d. 0.1085

e. 0.0576

The binomial distribution formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes

n is the number of trials

p is the probability of success on one trial

(n choose k) is the binomial coefficient, which is equal to n! / (k! * (n - k)!)

k is the number of successes we want to find the probability for

Using this formula, we can find the probabilities for the given scenarios:

a. P(X = 4) = (10 choose 4) * 0.15^4 * (1 - 0.15)^(10 - 4) = 0.1611

b. P(X <= 1)

= P(X = 0) + P(X = 1)

= (10 choose 0) * 0.15^0 * (1 - 0.15)^(10 - 0) + (10 choose 1) * 0.15^1 * (1 - 0.15)^(10 - 1)

= 0.8915

c. P(X >= 1)

= 1 - P(X = 0)

= 1 - (10 choose 0) * 0.15^0 * (1 - 0.15)^(10 - 0)

= 0.7588

d. P(X > 1)

= 1 - P(X <= 1)

= 1 - (P(X = 0) + P(X = 1))

= 1 - ((10 choose 0) * 0.15^0 * (1 - 0.15)^(10 - 0) + (10 choose 1) * 0.15^1 * (1 - 0.15)^(10 - 1))

= 0.1085

e. P(X < 1)

= P(X = 0)

= (10 choose 0) * 0.15^0 * (1 - 0.15)^(10 - 0)

= 0.0576

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hi

4/7  =   8

7/7 =  ?  

so ?  =  7/7 * 8  /4/7 =   8/4/7 =  8 *7/4 = 4*2*7 /4 =   2*7 = 14

so whole thing  is  14

let's check :    14 * 4/7 =   56/7 = 8

Match initial data. answer is correct.

The surface area of the cylinder is approximately 3015.93square inches when rounded to the nearest hundredth.

To find the surface area of a cylinder, we need to add the areas of the top and bottom circles, and the area of the lateral surface, which is the curved part of the cylinder.

The formula for the surface area of a cylinder is:

S.A. = 2πr² + 2πrh

where r is the radius of the cylinder, h is the height, and π is approximately equal to 3.14.

Given that the diameter is 32 inches, we can find the radius by dividing by 2:

r = d/2 = 32/2 = 16 inches

Now we can substitute the values into the formula and simplify:

S.A. = 2πr² + 2πrh

S.A. = 2π(16)² + 2π(16)(14)

S.A. = 2π(256) + 2π(224)

S.A. = 512π + 448π

S.A. = 960π

To approximate the answer to the nearest hundredth, we can use the value of π rounded to two decimal places (3.14):

S.A. ≈ 960(3.14)

S.A. ≈ 3015.93 square inches

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The surface area of the cylinder figure is derived to be equal to 3014.40 square inches rounded to the nearest hundredth.

The surface area of a cylinder can be calculated using the formula:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base of the cylinder, h is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159.

From the figure we have that:

r = 16 in

h = 14 in

surface area = 2 × 3.14 × 16 in × 16 in + 2 × 3.14 × 16 in × 14 in

surface area = 1607.68 in² + 1406.72 in²

surface area = 3014.40 in²

Therefore, the surface area of the cylinder figure is derived to be equal to 3014.40 square inches rounded to the nearest hundredth.

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The value of the line AC is  100. 07 inches

Trigonometric identities are equations that involve trigonometric functions such as sine, cosine, and tangent, which hold true for all values of the variables in the equation.

Note that there are six trigonometric identities. They are;

From the information given, we have;

Using the sine identity, we have;

sin 58 = Line AC/118

cross multiply the values

Line AC = 100. 07 inches

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Answer:

dependent

Step-by-step explanation:

its dependent because the names getting pulled depends on the names pulled first

As a result, a = 7 + (n - 1) * 15 is the formula for the nth term of the series with first term 7 and common difference.

An ordered set of number with a pattern or rule regulating their values is referred to as a sequence in mathematics. A word is used to characterize each number in a sequence. There are many various kinds of sequences, but a few of the most popular ones are as follows: A common differential, or constant number, is added to the respective period to produce an arithmetic series, each term of which is obtained. One arithmetic series with a following differences of three is 1, 4, 7, 10, 13, etc.

given

Given an arithmetic series with a first term (a1) and a common difference (d), the formula for the nth term (an) is as follows:

[tex]a = a1 + (n - 1) * d[/tex]

In this instance, the common difference (d) is 15, and the first term (a1) is 7. When these values are added to the formula, we obtain:

[tex]a = 7 + (n - 1) * 15[/tex]

As a result, a = 7 + (n - 1) * 15 is the formula for the nth term of the series with first term 7 and common difference.

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Answer:

189.1034.

Step-by-step explanation:

The result of the expression is approximately 189.1035.

To calculate the expression 192 - 84 ÷ (71 + 16) x 3, follow the order of operations, which is commonly remembered by the acronym PEMDAS:

Parentheses: Perform the operation within the parentheses first.

71 + 16 = 87

Division: Perform the division.

84 ÷ 87 ≈ 0.9655 (rounded to four decimal places)

Multiplication: Perform the multiplication.

0.9655 * 3 ≈ 2.8965 (rounded to four decimal places)

Subtraction: Finally, perform the subtraction.

192 - 2.8965 ≈ 189.1035 (rounded to four decimal places)

The result of the expression is approximately 189.1035.

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Answer:

C.

Step-by-step explanation:

C. is an impossible equation.

The area of the triangle LMN is A = ( 1/2 ) x base x height

Given data ,

Let the triangle be represented as ΔLMN

Now , the base of the triangle be , b = MN

Let the height of the triangle be = h

Now , the area of the triangle is A = b x h

On simplifying , we get

A = LM x MN

Therefore , the value of A = base x height

Hence , the area of triangle is solved

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Step-by-step explanation:

yes .. when you put x=2 y will be 3 .. you get it?

Generally, it is better to use a Line Graph if your raw data includes non-numeric values. If your raw data only has numeric values, use a Scatter Plot. You can use a Line Graph if you want to label your horizontal axis with text labels. These labels can represent evenly spaced values as days, weeks, and years.