A window in the shape of a parallelogram has the dimensions given.

What is the area of this window?




20 ft²

24 ft²

28 ft²

40 ft²

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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The volume of hay in each stack is 8/27 yards

The complete answer is given below:-

Jay stores hay in cubic stacks on his farm. If the length of each stack is 2/3 yards, what is the volume of hay in each stack? 1/3 cubic yards, 4/9 cubic yards, 1/9 cubic yards, 8/27 cubic yards

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid

The volume of hay in each stack is 8/27 yards

Since, the volume of a cube = (side)³

Here, the side of the cubic stack = (2/3) yards,

Hence, the volume of a cubic stack,

V = ( 2 / 3 )³

V = 8 / 27 cubic yards

Therefore the volume of hay in each stack is 8/27 yards

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Answer:

5 feet.

Step-by-step explanation:

The angle of the height and length go down to 5 feet diagonally.

Answer:

25ft

Step-by-step explanation:

To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²

15² + 20² = x²

225 + 400 = x²

625 = x²

√625 = √x²

x = 25

Answer:

It has two roots

that is †2.4i and -2.4i

Step-by-step explanation:

\(f(x) = ( {x}^{2} + 6) {}^{2} \)

for a root, f(x) is zero

\( {( {x}^{2} + 6)}^{2} = 0 \\ ( {x}^{2} + 6) = 0\)

subtract 6 from both sides:

\(( {x}^{2} + 6) - 6 = 0 - 6 \\ {x}^{2} = - 6\)

remember: from complex numbers, i² is -1

\( {x}^{2} = 6 {i}^{2} \)

take square root on both sides:

\( \sqrt{ {x}^{2} } = \sqrt{ {6i}^{2} } \\ x = i \sqrt{6} \\ x = + 2.4i \: \: and \: \: - 2.4i\)

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

In this case, the radius and height of the cone are changing with respect to time, and we are given their rates of change. By applying the chain rule to the formula for the volume of a cone, we can determine the rate of change of the volume when specific values for the radius and height are given.

The volume V of a right circular cone can be expressed as V = (1/3)πr^2h, where r is the radius and h is the height. To find the rate of change of the volume with respect to time, we need to apply the chain rule.

Using the chain rule, we have dV/dt = (∂V/∂r)(dr/dt) + (∂V/∂h)(dh/dt), where (∂V/∂r) and (∂V/∂h) represent the partial derivatives of V with respect to r and h, respectively.

Taking the partial derivatives, we have (∂V/∂r) = (2/3)πrh and (∂V/∂h) = (1/3)πr^2.

Substituting the given values for the rates of change, dr/dt = 3 cm/s and dh/dt = 4 cm/s, and the given values for the radius r = 6 cm and height h = 9 cm, we can calculate dV/dt to find the rate of change of the volume.

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Answer:

No solutions

Step-by-step explanation:

4x + 2y = 2

2x + y = 4

we need to evaluate for y is "2x + y = 4" to be able to solve this.

2x + y = 4

2x - 2x + y = 4 - 2x

y = -2x + 4

4x + 2y = 2

4x + 2(-2x + 4) = 2

4x -4x + 8 = 2

8 = 2

NO solutions

Step-by-step explanation:

by using substitution method

4x+2y=2-----i

2x+y=4-------ii

make y the subject of the formula in equation ii

2x+y=4

y=4-2x------iii

substitute equation iii into equation i

4x+2y=2

4x+2(4-2x)=2

4x+8-4x=2

collect like terms

4x-4x=2-8

0=-6

actually they're no solutions to this simultaneous equation

Answer:

this is hard

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

          \(= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}\)

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

Answer:47r64765

Step-by-step explanation:no

The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

We can fill 69 buckets of equal capacity from 586.5 litres of water. It's important to note that this calculation assumes that no water is lost or spilled during the filling process.

To find out how many buckets of equal capacity can be filled from 586.5 litres of water, we need to divide the total amount of water by the capacity of each bucket. In this case, each bucket has a capacity of 8.5 litres.

Dividing 586.5 by 8.5 gives us the number of buckets that can be filled:

586.5 / 8.5 = 69

Therefore, we can fill 69 buckets of equal capacity from 586.5 litres of water. It's important to note that this calculation assumes that no water is lost or spilled during the filling process.

Knowing how many buckets can be filled can be useful in a number of situations, such as when transporting or storing water. It can also help with planning and budgeting for water usage in a variety of settings, from households to agricultural operations.

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Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

it will be 1/2. I am not quit sure but the angles are 45,90,and 45 if that helps.

Step-by-step explanation:

Answer:

115 Is the Answer I hope this helps

Step-by-step explanation:

Fallis has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

To find out if Ms. Fallis has enough tiles to cover the counter, we need to calculate how many tiles are required to cover an area of 2 square meters.

Since the tiles have a side length of 3 centimeters, we need to convert the area of the counter to square centimeters.

1 square meter = 10000 square centimeters (cm²)

So, 2 square meters = 20000 square centimeters (cm²)

Now, we need to calculate the area of each tile:

Side length of each tile = 3 centimeters (cm)

Area of each tile = \((side length)^2\) = \((3 cm)^2\) = 9 square centimeters (cm²)

To cover the counter, we need to divide the total area of the counter by the area of each tile:

Number of tiles required = (Total area of counter) / (Area of each tile)

= 20000 cm² / 9 cm²

= 2222.22

Since we cannot have a fraction of a tile, we need to round up to the nearest whole number of tiles. So, Ms. Fallis needs at least 2223 tiles to cover the counter.

Since she has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

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Answer: 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps

The required balance at the beginning of the incomplete register is $38.25.

Given that,
To determine the beginning balance in the incomplete register.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
In the table, in the register, the balance starts with an entry of $38.25 paycheck. So, the 1 st entry of the register shows the balance in the beginning.

Thus, the required balance at the beginning of the incomplete register is $38.25.

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Considering the situation described in the problem, the length of segment AD is of: 17 units.

From the situation described in the problem, segment AD is divided into three parts:

Then, the length of segment AD is:

AD = AB + BC + CD.

We have that AC = 9, hence:

AB + BC = 9.

We also have that BD = 10, then:

BC + CD = 10.

Since BC = 2, we have that:

Then the length of segment AD is given as follows:

AD = AB + BC + CD = 7 + 2 + 8 = 17.

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Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

Using the probability concept, it is found that there is a 0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.

The question is incomplete, but the pie-chart can be found in the internet.

Hence:

\(p = \frac{129702}{145717} = 0.8901\)

0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.

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Answer:

27°

Step-by-step explanation:

The two lines are parallel, causing them to be equal

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

To find the Wronskian, we'll use the formula:

W = y1*y2' - y2*y1'

Given y1 = e^(-2t)sin(5t) and y2 = e^(-2t)cos(5t), we can find their derivatives:

y1' = -2e^(-2t)sin(5t) + 5e^(-2t)cos(5t)
y2' = -2e^(-2t)cos(5t) - 5e^(-2t)sin(5t)

Now, substitute these values into the Wronskian formula:

W = (e^(-2t)sin(5t))*(-2e^(-2t)cos(5t) - 5e^(-2t)sin(5t)) - (e^(-2t)cos(5t))*(-2e^(-2t)sin(5t) + 5e^(-2t)cos(5t))

Simplifying this expression will give you the value of the Wronskian (W).

To find the solution satisfying the initial conditions y(0) = 6 and y'(0) = 13, we can use the following formula:

y = (y1(0)*y2(x) - y2(0)*y1(x))/W

Substitute the given values and the expressions for y1 and y2 into the formula to find the solution y.

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Answer:

(0.4,6.2)

Step-by-step explanation:

set the equations equal, 3x+5=8x+3

solve for x, 5x=2, x=2/5 = 0.4

plug in x value to solve for y, y = 3*0.4 + 5, y=6.2

Answer:

Let the number of cola bottles Ayesha bought be x. Cost of x cola bottles = *15x.

As per the problem she has bought 2x cans of orange juice at 25. Cost of 2x cans of orange juice = 50x.

As per the problem she has bought 2x-10 cans of lemonade at 20. Cost of 2x-10 cans of lemonade = *40x- 200.

Given total amount spent = 430.

Hence 15x + 50x + 40x - 200 = 430

=> 105x = 630

=> x = 6

So Ayesha bought 6 cola bottles, 12 orange juice cans and 2 lemonade cans.