Mr. Matthews is sewing a banner for his son's baseball team. He must determine the area of the banner in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Answer:

1.4x+2.6x=16

We move all terms to the left:

1.4x+2.6x-(16)=0

We add all the numbers together, and all the variables

4x-16=0

We move all terms containing x to the left, all other terms to the right

4x=16

x=16/4

x=4

Step-by-step explanation:

Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

option C. Rejecting a true null hypothesis. The level of significance in hypothesis testing is the probability of rejecting a true null hypothesis.

In hypothesis testing, the null hypothesis is a statement that there is no significant difference between two populations or variables, while the alternative hypothesis is a statement that there is a significant difference. The level of significance, denoted by alpha (α), is the probability of rejecting the null hypothesis when it is actually true.

In other words, if the level of significance is set at 0.05 (or 5%), this means that there is a 5% chance of rejecting the null hypothesis when it is actually true. This is known as a type I error, or a false positive.

The level of significance is usually set by the researcher or statistician before conducting the hypothesis test, and is typically based on the desired balance between the risk of making a type I error and the risk of making a type II error (failing to reject a false null hypothesis).

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The level of significance in hypothesis testing is the probability of

a. accepting a true null hypothesis

b. accepting a false null hypothesis

c. rejecting a true null hypothesis

d. could be any of the above, depending on the situation

The unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i 3tj 2 sin2(t) k can be obtained using the formulae:T(t) = r'(t) / ||r'(t)||N(t) = T'(t) / ||T'(t)||B(t) = T(t) x N(t) where r(t) is the position vector at time t, ||r'(t)|| is the magnitude of the derivative of r(t) with respect to time, i.e. the speed, and x denotes the cross product of two vectors.

Given r(t) = sin(2t)i + 3tj + 2 sin2(t) k

The derivative of r(t) is given by r'(t) = 2 cos(2t) i + 3 j + 4 sin(t) cos(t) k

The magnitude of the derivative of r(t) with respect to time is ||r'(t)|| = √(4cos2(2t) + 9 + 16sin2(t)cos2(t))

= √(13 + 3cos(4t))

Thus,T(t) = r'(t) / ||r'(t)||= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))

N(t) = T'(t) / ||T'(t)|| where T'(t) is the derivative of T(t) with respect to time.

We obtain T'(t) = [-4 sin(2t) i + 4 sin(t)cos(t) k (13 + 3cos(4t))3/2 - (2cos(2t)) (-12 sin(4t)) / (2(13 + 3cos(4t))]j (13 + 3cos(4t))3/2

= [-4 sin(2t) i + 12cos(t)k] / √(13 + 3cos(4t))

Thus,N(t) = T'(t) / ||T'(t)||= [-4 sin(2t) i + 12cos(t)k] / √(16sin2(t) + 144cos2(t))

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = T(t) x N(t)

= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] x [-sin(2t) i + 3 cos(t) k] / 2

= [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

Therefore, the unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i + 3tj + 2 sin2(t) k are:

T(t) = [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))N(t)

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

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The measure of the angle where line l meets line n is unknown, as it is not mentioned in the question.

Unfortunately, the question does not provide any information about the measure of the angles where lines l and m meet line n.

Therefore, we cannot determine the specific degrees of these angles. However, we do know that lines l and m are not the same line but intersect line n.

This suggests that lines l and m are not parallel to each other. When two lines intersect, they form angles at the point of intersection. These angles can vary in measure depending on the specific geometric configuration. Without further information, we cannot determine the exact measure of these angles.

Similarly, the measure of the angle where line m meets line n is also unknown.

The fact that lines l and m both intersect with line n indicates that they are two distinct lines that intersect at a common point, creating a "V" shape. In other words, lines l and m are not the same line.

Therefore, the conclusion is that lines l and m are not parallel but intersect each other at line n.

Lines l and m are not parallel, but they intersect at line n. The measure of the angles where they intersect is not given in the question.

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Answer:

Positive 8 I answered your other one too

The answer is 5 (x - y + 2z) (x- y - 2z)

A polynomial or integer is simply resolved into factors that, when multiplied together, produce the original or initial polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

The algebraic expressions can be factored using one of four techniques.

Now, solving the following question,

= 5 [ \(x^{2}\) - 2xy + \(y^{2}\) ] - 4\(z^{2}\)

= 5 [ \((x-y)^{2}\) - \(2z^{2}\)

= 5 (x - y + 2z) (x - y - 2z)

Therefore, the factors are 5 (x - y + 2z) (x - y - 2z)

The following question is incomplete. The correct question is:

Factorize the given equation.

5\(x^{2}\) - 10xy + 5\(y^{2}\) -     \(20z^{2}\)

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Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of \(x^2\) is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

\(y= -x^2 + 2x + 3\)

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, \(x=-\dfrac{b}{2a}\)

\(x=-\dfrac{2}{2*-1}\\x=1\)

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

\(y(1)= -1^2 + 2(1) + 3=-1+2+3=4m\)

The maximum height of the diver is therefore 4 meters.

Answer:

n+14

Step-by-step explanation:

you just add 14 to n and since you can't put the n and the 14 together it's just n+14

Answer:

Me neither. Or you didn't post them.

Answer:

There literally isn't an image

Step-by-step explanation:

Answer:

the measure of 7 is 47 degrees, the equation is 2x -5 + 47 = 180 and the value of x is = to 69

Step-by-step explanation:

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

The solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622. (Correct choice: B)

In this question we find a system formed by one nonlinear equation and one linear equation, which can be resolved by using a graphic approach. g(x) = f(x) represents the point of intersection of the two curves. First, we plot the graphs of the two curves and, second, the point of intersection is marked on the Cartesian plane.

According to the result given by the graphing tool, there are two solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622.

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Answer:

it's Exponential .......

Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

Answer:

Below in bold.

Step-by-step explanation:

a = 16, b = 19 and c = 14.

By the Cosine Rule:

cos A = (a^2 - b^2 - c^2) / -2bc, so:

cos A  = ( 16^2  - 19^2 - 14^2) / (-2*19*14)

             =   -301 / - 532

             =  0.565789

m < A = 55.54 degrees.

Now Using the Sine Rule:

a / sin A = b / sin B

16 / sin 55.54 = 19/sin B

sin B = 19 * sin 55.54 / 16

         = 15.666 / 16

         = 0.979125

m < B = 78.27 degrees.

Finally

m < C = 180 - 55.54 - 78.27 = 46.19 degrees.

Answer:

1.6 minus .95 is .65 1.6 plus .96 is 2.55 and 1.6 is greater than .95 i dont know witch one you wanted answerd but theres a few answers that might help!!

Step-by-step explanation:

mark brainiest if this helped!!

Answer:

1:D,2

2:B:She found that -3(9) is positive

3:D:Evaluated -2^2 as -4

4:Confused, is there supposed to be supplemental info?

Step-by-step explanation:

Answer:

hey.. hi.. emme.. is this morning??? if it is GOOD MORNING ☺️

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

Step-by-step explanation:

If there needs to be 4 teachers per 21 students, you would divide the total amount of students by 21 and multiply that answer by 4. SO...:

84 ÷ 21 = 4 groups of 21 students.

4 groups × 4 teachers = 16

*** Answer***

16 TEACHERS

The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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Answer:

The prime factorization of 42 is 2 × 3 × 7

Step-by-step explanation:

The volume of the solid generated by rotating function f(x) = 64 − x² about the x-axis on [2, 8] is approximately 858.31 cubic units.

The volume of the solid generated by rotating function f(x) = 64 − x² about the x-axis on [2, 8] can be determined using the disk method. The formula for the volume of the solid of revolution using the disk method is: V = π ∫(R(x))² dx where R(x) is the radius of the disk and dx is the thickness of the disk. Since the function f(x) is rotated about the x-axis, the radius R(x) is simply the function f(x). Therefore, we can substitute f(x) into the formula and evaluate the integral to find the volume of the solid. V = π ∫(f(x))² dx  = π ∫(64 − x²)² dx  = π ∫(4096 − 128x² + x⁴) dx  = π [4096x − (128/3)x³ + (1/5)x⁵] evaluated from x = 2 to x = 8  = π [(4096(8) − (128/3)(8³) + (1/5)(8⁵)) − (4096(2) − (128/3)(2³) + (1/5)(2⁵))]  = π [(2048/15) + (2048/15)]  = π (4096/15)  ≈ 858.31Therefore, the main answer is: The volume of the solid generated by rotating function f(x) = 64 − x² about the x-axis on [2, 8] is approximately 858.31 cubic units. The answer more than 100 words is explained above through the disk method. The disk method was used to evaluate the definite integral over the region [2, 8]. Finally, we determined the volume of the solid of revolution by subtracting the volume of the inner disk from the volume of the outer disk.

The volume of the solid generated by rotating function f(x) = 64 − x² about the x-axis on [2, 8] is approximately 858.31 cubic units.

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Using it's concept, the probability of D is 4/7.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, A, B and C all have a probability of 1/7. The sum of all probabilities is of 1 = 100%, hence:

\(3 \times \frac{1}{7} + P(D) = 1\)

\(P(D) = 1 - \frac{3}{7}\)

\(P(D) = \frac{4}{7}\)

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The following equation

∫166x x²dx = 9/2

∫16xdx = 18

∫67x²dx = 127/3.

To integration by substitution to solve the given integral.

Let u = x² then du/dx = 2x and dx = du/(2x).

Substituting for x and dx we get:

∫166x x²dx = ∫166x u du/(2x)

= (1/2)∫166x u¹ du

= (1/2) [(u²/2)|6]

= 1/4[u²|6]

= 1/4(6²)

= 9/2

∫166x x²dx = 9/2.

Now, using the given information we can evaluate the integral of 16x:

∫16xdx = x²/2|6

= 18.

And using the given information we can evaluate the integral of 67x²:

∫67x²dx = 127

∫166x x²dx = 9/2

∫16xdx = 18

∫67x²dx = 127/3.

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Answer:

A

Step-by-step explanation:

count how many 3's there are (1)

3^1

3^1 simplifies to just 3

3

count how many x's there are (4)

3x^4

count how many y's there are (4)

3x^4y^4

Answer:

The answer is Letter A

Explanation:

It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A

This relationship is not transitive, symmetrical, or reflexive.

It is not reflexive because, for any x ∈ R, xd x = xx ≥ 0 is not always true.

It is not symmetric because, for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0).

It is not transitive because, for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0).

The relation d is defined as xd y ⇔ xy ≥ 0 for all x,y ∈ R. This relation is not reflexive because for any x ∈ R, xd x = xx ≥ 0 is not always true. It is not symmetric because for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0). Lastly, it is not transitive because for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0). Therefore, the relation d is none of these.

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The particular solution to the given ODE is:y_p(t) = (1/3)sin(t) - (1/6)sin(2t) - (1/3)θ(t)sin(t) + (1/6)θ(t)sin(2t).This solution satisfies the ODE y'' - y = sin^2(t), and it was obtained using the method of convolutions.

To construct a particular solution to the ODE y'' - y = sin^2(t), we can use the method of convolutions. The idea behind this method is to find the convolution of the forcing function, sin^2(t), with a suitable kernel function, which in this case is the Green's function for the homogeneous equation y'' - y = 0.

The Green's function for this equation is given by:

G(t, τ) = (θ(t - τ)sin(t - τ) + θ(τ - t)sin(tau - t))/W,

where θ is the Heaviside step function and W is the Wronskian of the homogeneous equation, which is 2.

Using this Green's function, we can construct the convolution of the forcing function with the kernel function as:

y_p(t) = ∫[0 to t] G(t, τ) sin^2(τ) dτ.

Substituting the expression for G(t, τ), we get:

y_p(t) = [sin(t) ∫[0 to t] sin(τ) sin^2(τ) dτ] - [θ(t) ∫[0 to t] sin(t - τ) sin^2(τ) dτ].

Evaluating the integrals, we get:

y_p(t) = (1/3)sin(t) - (1/6)sin(2t) - (1/3)θ(t)sin(t) + (1/6)θ(t)sin(2t).

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This solution satisfies the ODE y'' - y = sin^2(t), and it was obtained using the method of convolutions.

To construct a particular solution to the ODE y'' - y = sin^2(t), we can use the method of convolutions. The idea behind this method is to find the convolution of the forcing function, sin^2(t), with a suitable kernel function, which in this case is Green's function for the homogeneous equation y'' - y = 0.

The Green's function for this equation is given by:

G(t, τ) = (θ(t - τ)sin(t - τ) + θ(τ - t)sin(tau - t))/W,

where θ is the Heaviside step function and W is the Wronskian of the homogeneous equation, which is 2.

Using this Green's function, we can construct the convolution of the forcing function with the kernel function as:

y_p(t) = ∫[0 to t] G(t, τ) sin^2(τ) dτ.

Substituting the expression for G(t, τ), we get:

y_p(t) = [sin(t) ∫[0 to t] sin(τ) sin^2(τ) dτ] - [θ(t) ∫[0 to t] sin(t - τ) sin^2(τ) dτ].

Evaluating the integrals, we get:

y_p(t) = (1/3)sin(t) - (1/6)sin(2t) - (1/3)θ(t)sin(t) + (1/6)θ(t)sin(2t)

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Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Vector data model utilizes points, lines and polygons to represent the real-world features.

Therefore, the answer is 'True'.

Geographic data can be represented by two types of models - the raster data model and the vector data model.

The vector data model is predicated on the notion that discrete objects, such as trees, rivers, lakes, etc., make up the surface of the world. Clearly defined point, line, and polygon features are used to depict objects. X, Y coordinate pairs that refer to a location in the physical world are used to define feature borders.

A single x, y coordinate pair serves to define a point. Two or more sets of x, y coordinates are used to define lines. Lines that intersect to form polygon boundaries define polygons. Every feature in the vector data format has a special number identification that is kept in an attribute table along with the feature record.

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