SIMPLIFY THIS EXPRESSION:
5(7 + 3x) - 12

Answer:

I think H because it is the only one going vertical

Step-by-step explanation:

Answer: x ≅ 0.5, and x ≅ −3.7

Step-by-step explanation:

\(4x^2 + 11x - 19 = -2x - 12\)

\(4x^2 + 13x - 7 = 0\)

Now use the quadratic formula with a = 4, b = 13, and c = -7

(if you dont know what that is, you should probably search it and understand/memorize).

Using the formula, we get two values:

x ≅ 0.5, and x ≅ −3.7

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

h = 8.4

Step-by-step explanation:

38.64 = \(\frac{(5.5+3.7)h}{2}\)

38.64(2) = 9.2h

77.28 = 9.2h

h = 77.28/9.2

h = 8.4

Answer:

69

Step-by-step explanation:All you have to do is vent in medbay then divided the evacuated lights out. Then vote off multiplication.

It would take a total of 16,500 minutes for both faucets to fill the pool to its minimum of 30,000 gallons.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

To find the time it takes the first faucet to fill the pool, divide the total number of gallons in the pool by the number of gallons the faucet pumps per minute:

30,000 gallons / (20 gallons / 5 minutes) = 30,000 / 4 = 7,500 minutes

To find the time it takes the second faucet to fill the pool, divide the total number of gallons in the pool by the number of gallons the faucet pumps per minute:

30,000 gallons / (10 gallons / 3 minutes) = 30,000 / (5/3) = 45,000 / 5 = 9,000 minutes

To find the total time it takes both faucets to fill the pool, add the time it takes each faucet to fill the pool:

7,500 minutes + 9,000 minutes = 16,500 minutes

Thus, both faucets would require a total of 16,500 minutes to fill the pool to its minimal capacity of 30,000 gallons.

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The expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

The given parameters are:

\(\mathbf{\theta =36^o}\) --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

The distance (s) is then calculated using the following sine ratio

\(\mathbf{ sin(\theta) = \frac{h}{s}}\)

Make s the subject

\(\mathbf{ s = \frac{h}{sin(\theta)}}\)

Substitute \(\mathbf{\theta =36^o}\)

\(\mathbf{ s = \frac{h}{sin(36)}}\)

Evaluate sin(36)

\(\mathbf{ s = \frac{h}{0.5878}}\)

The height of the tree is not known.

Hence, the expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

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The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

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The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Answer:

It is 44

Step-by-step explanation:

The perimeter of the paralllelogram given is: 44 units.

Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.

Given the following:

Since opposite sides of a parallelogram are equal, therefore:

4y - 2 = 2y + 6

4y - 2y = 2 + 6

2y = 8

y = 4

2x + 2 = 3x - 1

2x - 3x = -2 - 1

-x = -3

x = 3

Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)

Plug in the values of x and y

Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)

Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)

Perimeter of the paralllelogram = 44 units.

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Answer:

Zeros: -1, 1, 2

Step-by-step explanation:

Hi there!

\(y=(x+1)^2(x-1)(x-2)\)

The zero-product property states that if two terms, when multiplied, equals 0, one of the terms must be equal to 0.

Therefore, we know that either (x+1), (x-1) or (x-2) is equal to 0:

x+1 = 0

x-1 = 0

x-2 = 0

Now, to solve for the zeros of the function, we can just solve for x:

x+1 = 0 ⇒ x = -1

x-1 = 0 ⇒ x = 1

x-2 = 0 ⇒ x = 2

Notice how for the function, (x+1) is raised to a power of 2. This means that the zero -1 has a multiplicity of 2.

The other zeroes, 1 and 2, have multiplicities of 1.

I hope this helps!

Answer:

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.

PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.

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Answer:

0.0312

Step-by-step explanation:

You subtract 29.12 by 26 which equals 3.12

Then you divide by 100 which equals 0.0312

Answer:

12

Step-by-step explanation:

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Weighted average is the average of a set using different weight for each element in the set. The final grade when homework and test scores are 59 and 64 is 62.35

Given that:

\(Homework = 59\)

\(Test = 64\)

The test score is greater than the homework score. So, the test will be weighted using 67%, while the homework will be weighted using 33%.

The final grade is calculated as follows:

\(Grade = 67\% \times Test + 33\% \times Homework\)

So, we have:

\(Grade = 67\% \times 64 + 33\% \times 59\)

\(Grade = 42.88 + 19.47\)

\(Grade = 62.35\)

Hence, the final grade is 62.35

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The equations is inconsistent and has infinitely many solutions. The solution set can be written as {(x, (33-22z)/11, z) : x, z E R}.

This is a system of three linear equations with three variables, x, y, and z. The system can be represented in matrix form as AX = B where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

A = |1 -3 -8| |2 5 6| |3 2 -2|

X = |x| |y| |z|

B = |-10| |13| | 3|

To determine the number of solutions for this system, we can use Gaussian elimination to reduce the augmented matrix [A|B] to row echelon form.

R2 - 2R1 -> R2

R3 - 3R1 -> R3

A = |1 -3 -8| |0 11 22| |0 11 22|

X = |x| |y| |z|

B = |-10| |33| |33|

Now we can see that there are only two non-zero rows in the coefficient matrix A. This means that there are only two leading variables, which are y and z. The variable x is a free variable since it does not lead any row.

We can express the solutions in terms of the free variable x:

y = (33-22z)/11

x = x

z = z

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In the worst case, it will take 125.7 more hours for all of the oil to leak out. In the best case, it will take 104.17 more hours for all of the oil to leak out.

Worst case:

25,000 gallons of oil / (720 gallons/hour) = 34.72 hours

25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining

8,640 gallons of oil / (720 gallons/hour) = 12.04 hours

34.72 hours + 12.04 hours = 46.76 hours

46.76 hours x (720 gallons/hour) = 33,360 gallons of oil

25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil

-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours

46.76 hours + (-11.56 hours) = 35.2 hours

35.2 hours x (720 gallons/hour) = 25,440 gallons of oil

25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil

560 gallons of oil / (720 gallons/hour) = 0.78 hours

35.2 hours + 0.78 hours = 36.0 hours

36.0 hours x (720 gallons/hour) = 25,920 gallons of oil

25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil

80 gallons of oil / (720 gallons/hour) = 0.11 hours

36.0 hours + 0.11 hours = 36.11 hours

36.11 hours x (720 gallons/hour) = 25,952 gallons of oil

25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil

48 gallons of oil / (720 gallons/hour) = 0.07 hours

36.11 hours + 0.07 hours = 36.18 hours

36.18 hours x (720 gallons/hour) = 25,976 gallons of oil

25,000 gallons of oil - 25,976 gallons of oil = 24 gallons of oil

24 gallons of oil / (720 gallons/hour) = 0.03 hours

36.18 hours + 0.03 hours = 36.21 hours

Best case:

25,000 gallons of oil / (720 gallons/hour) = 34.72 hours

25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining

8,640 gallons of oil / (720 gallons/hour) = 12.04 hours

34.72 hours + 12.04 hours = 46.76 hours

46.76 hours x (720 gallons/hour) = 33,360 gallons of oil

25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil

-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours

46.76 hours + (-11.56 hours) = 35.2 hours

35.2 hours x (720 gallons/hour) = 25,440 gallons of oil

25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil

560 gallons of oil / (720 gallons/hour) = 0.78 hours

35.2 hours + 0.78 hours = 36.0 hours

36.0 hours x (720 gallons/hour) = 25,920 gallons of oil

25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil

80 gallons of oil / (720 gallons/hour) = 0.11 hours

36.0 hours + 0.11 hours = 36.11 hours

36.11 hours x (720 gallons/hour) = 25,952 gallons of oil

25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil

48 gallons of oil / (720 gallons/hour) = 0.07 hours

36.11 hours + 0.07 hours = 36.18 hours

Therefore, in the worst case it will take 125.7 more hours for all of the oil to leak out and in the best case it will take 104.17 more hours for all of the oil to leak out.

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As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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Answer:

4 and 5

Step-by-step explanation:

4+5=9

4*5=20

Answer:

5 an 4

Step-by-step explanation:

If you add 5+4 you get 9

And if you multiple 5×4 you get 20

Answer:

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

Step-by-step explanation:

The parent function of a parabola is y=x^2:

The transformation of this graph shows the parabola is shifted to the right 3 and up 1 so we apply that to our equation y=(x-3)^2+1

to solve the stretch factor:

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

we can see when x=0 y=7 so we use this set

7=a(0-3)^2+1

7=a(-3)^2+1

-1            -1

6=9a

divide by 9

a=2/3

Answer:

Step-by-step explanation:

answer:

Mel was descending at a faster rate

Mel's rate of change is negative. That means that your height in the air decreases 5 feet every second.

Victor's rate of change is negative. That means that his height in the air decreases 3.33 feet every second.

Answer:

Mel (2, 50) and (5, 35)Victor (1, 60) and (4, 50)

Step-by-step explanation:

Edge 2020.

Answer:

Never second guess yourself

Step-by-step explanation:

Answer: 2.7 * 4 = 10.8

so the answer is 10.8 cm

Answer: you have $31 at the end of the week

Step-by-step explanation:

First, let's put this problem into an algebraic expression. We started off with $42. We then added $25 and took out $36 during the week. The expression for this problem is

42

+

25

−

36

.

Next, add 42 and 25 together to get

67

. We now have

67

−

36

.

Finally, subtract 36 from 67 to get

31

, our answer.

Answer:

C

Step-by-step explanation:

Add the like terms, the a's by themselves and b's by themselves.

8a+5a=13a

6b+2b=8b

so 13a+8b

C

Answer:

Step-by-step explanation:

√2x + 5 = 5

       -5    - 5

√2x = 0

√2x^2=0^2

2x=0

2x/2 = 0/2

\(\huge\red{ANSWER}\)

\(\sf \sqrt{2} x+5=5\)

\(\sf \sqrt{2} x=5-5\)

\(\sf \sqrt{2} x = 0\)

\(\sf \frac{\sqrt{2} x }{2}=0\)

\(\sf x=0\)

________......

\(\pmb{ \orange{LearningLifeII}}\)

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

After 10 seconds, the snail is 14 inches away from Diana. Let's assume that Diana is at the origin (0,0) and the snail moves at a constant speed. Let's consider the snail is at point (x, y) and Diana is at the origin (0,0). The snail is moving away from Diana at a constant speed. It moves 2 inches in 4 seconds.

Then the distance traveled by the snail in 1 second is

= 2/4inches

= 0.5 inches.

So, the distance the snail travels from (0,0) in x seconds is 0.5x. After 3 seconds, the snail moves

= 0.5(3)

= 1.5 inches away from Diana, and its distance from her is 9 inches.

So, we have y = 9 + 0.5x. This is the equation for the snail's distance from Diana, y, as a function of time, x.

We can see that the equation y = 9 + 0.5x provides the snail's distance from Diana. Here, y is the distance between Diana and the snail and x is the current time. We can observe that the snail moves at a constant pace of 0.5 inches per second since the coefficient of x is equal to 0.5. The constant term in the equation is 9, which stands for the separation between Diana and the snail at the initial value of x, or 0, the starting point.

Therefore, we can infer that the distance between the snail and Diana, y, as a function of time, x, is represented by the equation y = 9 + 0.5x. The distance between Diana and the snail can be calculated at any time using this equation. The distance between Diana and the snail after 10 seconds, for instance, can be calculated using this equation.

For this,

we substitute x = 10 in the equation and get

y = 9 + 0.5(10)

= 14.

Therefore, after 10 seconds, the snail is 14 inches away from Diana.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.