which words have vertical symmetry for all of the letters in the word?

The evaluated definite integral  using the Fundamental Theorem of Calculus is :\((2/3)(b+2x^{2} )^({3/2}) - 7b - (2/3)(a + 2x^{2}) ^{3/2} ) + 7a\)

To evaluate the definite integral ∫(a to b) [√(t + 2x^2) - 7] dt, we can apply the Fundamental Theorem of Calculus, Part 2.

Let's assume that f(t) = \(\sqrt{(t+ 2x^{2} - 7)}\)  is a continuous function and F(t) is an antiderivative of f(t).

According to the Fundamental Theorem of Calculus, ∫(a to b) f(t) dt = F(b) - F(a).

In this case, we are integrating with respect to t, so x is treated as a constant. Therefore, when we evaluate the integral, x is not affected.

Applying the Fundamental Theorem of Calculus, we have:

∫(a to b) [√(t + 2x^2) - 7] dt = F(t) ∣ (a to b)

Now, let's find an antiderivative of f(t):

F(t) = ∫ [√(t + 2x^2) - 7] dt

To integrate the function, we can split it into two parts:

F(t) = ∫√(t + 2x^2) dt - ∫7 dt

For the first integral, let's use a substitution. Let u = t + 2x^2, then du = dt:

∫√(t + 2x^2) dt = ∫√u du

Integrating √u, we get:

∫√u du = (2/3)u^(3/2) + C1

Substituting back u = t + 2x^2:

(2/3)(t + 2x^2)^(3/2) + C1

For the second integral, we have:

∫7 dt = 7t + C2

Now, we can substitute these antiderivatives back into the equation:

F(t) = \((2/3)(t + 2x^{2} )^{3/2} - 7t + C1 + C2\)

Finally, applying the Fundamental Theorem of Calculus, we can evaluate the definite integral:

= \(\int\limits^a_b [\sqrt{(t+2x^{2} ) - 7} ] dt = F(t) | (a to b)\)

= \([(2/3)(b+ 2x^{2}) ^({3/2}) - 7b + C1 + C2] - [(2/3) (a+ 2x^{2} )^{3/2} - 7a + C1 + C2 ] \\ \\\)

= \((2/3)(b+2x^{2} )^{3/2} - 7b - (2/3) (a+2x^{2} )^{3/2} + 7a\)

Therefore, the evaluated definite integral is \((2/3)(b+2x^{2} )^({3/2}) - 7b - (2/3)(a + 2x^{2}) ^{3/2} ) + 7a\)

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Answer:

Answer:

0.7

Step-by-step explanation:

you have a slope of 6 and it goes through 4,22 so slope = rise over run so you would divide them

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

First find the amount the price increased.

    amount of change
                 = (percent change) x (starting value)

                 = (8%) x ($20)

                 = (0.08) x ($20)

                 = $1.60

(Remember to convert the percent to a decimal before multiplying.)

Now add the tax onto the price:

      $20 + $1.60 = $21.60

The price, including sales tax, is $21.60.

The area of the circle from the area of the rectangle to find the area of the remaining shape. If the shapes are combined to create a larger shape, you would add the areas together.

Step 1: Identify the shapes within the compound shape. In this case, you mentioned circles, but there may be other shapes like rectangles, triangles, etc.

Step 2: Find the area of each individual shape. For circles, use the formula Area = π * r^2, where r is the radius of the circle. For other shapes, use their respective area formulas.

Step 3: Depending on the arrangement of the shapes within the compound shape, either add or subtract the areas of the individual shapes to get the total area of the compound shape.

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Yes, the Penders are living within their monthly net income.

To determine the monthly living cost, you have to add up the monthly fixed and variable costs. Next, you will subtract these from the monthly net income, if there is a remainder, or none, then they are living within their monthly income.

However, if there is a deficit from the calculation, we can arrive at an answer that shows that the Penders are living above their monthly net income. Subtracting the expenses from the income of $2,600 shows a controlled budget.

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

i think its 2/1

Step-by-step explanation:

take those 2 points and do y2-y1

                                            -----------

                                              x2-x1

Answer:

The answer is

\(y = 3x + 5\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ↶

\(y = mx + b\)

❃Since we already have the slope, we don't need to solve for that.

➊ First: We are going to find the y-intercept.

\(y = mx + b \\ 2 = 3( - 1) + b \\ 2 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: }{5 = b}\)

➋Second: Plug in.

\(y = 3x + 5\)

That's great! Observing and recording the phases of the moon over several months can be an interesting project.

Capture the moon's image: Using a camera or smartphone, take a picture of the moon on a daily basis. Aim for clear and focused shots that capture the moon's details.

Present the findings: The student can create a report or presentation summarizing their project, including the methodology, observations, and conclusions. They may also include a selection of the most representative pictures to showcase the changes in the moon's appearance.

Remember, this project requires patience and consistency in taking pictures each day. By documenting the moon's phases over three months, the student will gain a deeper understanding of this celestial phenomenon and its cyclical nature.

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Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.

The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower

:

Let x = the width of flower bed

:

Then the overall dimensions (flower bed & lawn) will be:

(2x + 8) by (2x + 4)

:

Overall area

(2x+8)*(2x+4) = 165

FOIL

4x^2 + 8x + 16x + 32 = 165

A quadratic equation

4x^2 + 24x + 32 - 165 = 0

4x^2 + 24x - 132 = 0

Simplify, divide by 4, results:

x^2 + 6x - 33 = 0

Use the quadratic formula to solve this

it seems that it starts from 4 then every time it gets multiplied by 3 so F(n)=4*3^n-1

The midpoint of the line segment with the endpoints (5, 6) and (-5, -2) is (0, 2).Hence, the answer is: Midpoint = (0, 2).

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula:M = [(x1 + x2) / 2, (y1 + y2) / 2]where M is the midpoint.In the given problem, the endpoints are (5, 6) and (-5, -2).

So, we can find the midpoint by applying the formula mentioned above.Midpoint = [(5 + (-5)) / 2, (6 + (-2)) / 2]= [0/2, 4/2]= [0, 2]

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Answer:

C. 1:5

Step-by-step explanation:

According to the question,at step 4 of the construction, there are 64 holes in the Sierpinski Gasket.

In the construction of the Sierpinski Gasket, the number of holes at each step follows a specific pattern.

At step 1, there is 1 hole.

At step 2, the initial hole from step 1 is divided into 4 smaller holes, resulting in a total of 4 holes.

At step 3, each of the 4 holes from step 2 is divided into 4 smaller holes, resulting in a total of 16 holes.

At step 4, each of the 16 holes from step 3 is divided into 4 smaller holes, resulting in a total of 64 holes.

Therefore, at step 4 of the construction, there are 64 holes in the Sierpinski Gasket.

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Answer:

1/3

1/2

1/6

0

Step-by-step explanation:

Answer:

a. 2/6 b.1/2 c.1/6

Hope this helped!

Answer:

144 m²

Step-by-step explanation:

Area of a parallelogram

= base × height

Area of the parallelogram

= 12 × 12

= 144 m²

The Answer Is 144 Inches Squared.

Area=BXH

Meaning, The Area Is 144 Inches Squared.

I think it's 9, tell me if I'm wrong

Answer:

Orion reports a higher density than Guang.

Step-by-step explanation:

Khan said it was right.

Answer: Orion or number 2

Step-by-step explanation:

khan is always correct

Answer:

\(\frac{59}{100}\)

Step-by-step explanation:

first divide 59 by 100

\(\frac{59}{100}\)

now simplify

as u can see we can not simplify and it is the last stage so the answer will be

\(\frac{59}{100}\)

the Option  B of the subsequent query is correct this is 1345


given that regular disbursed with rating became 1509, and the standard deviation of the ratings is 312.
score=1509
standard deviation=312


P(Z.3
From z score table we get P(Z<-0.52) =0.three
Then Zo= -0.52
X-rating/general deviation= -zero. 52


X= -0. 52× 312 + 150
= 1346.76
= 1345 approx


A standard deviation (or σ) is a measure of how dispersed the data is when it comes to the mean. Low standard deviation means data are clustered across the imply, and high standard deviation indicates facts are extra unfold out.


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Let:

M = Total money = $20.56

Ca= Cost of the apple = 79 cents = $0.79

Cg = Cost of the granola bar = $1.76

Ms = Total money spent

Mr = Remaining money

So, the total money spent will be:

Ms = Ca + Cg = $0.79 + $1.76 = $2.55

And the remaining money will be:

Mr = M - Ms = $20.56 - $2.55 =$18.01

The angle between the vectors a and b is approximately 48 degrees.

To find the angle between two vectors a and b, we can use the formula:

cos θ = (a · b) / (|a| |b|)

where a · b is the dot product of a and b, and |a| and |b| are the magnitudes of a and b, respectively.

First, let's find the dot product of a and b:

a · b = (i)(4) + (2j)(0) + (-2k)(-3) = 4 + 6 = 10

Next, let's find the magnitudes of a and b:

|a| = √(1^2 + 2^2 + (-2)^2) = √9 = 3

|b| = √(4^2 + 0^2 + (-3)^2) = √25 = 5

Substituting these values into the formula for cos θ, we get:

cos θ = 10 / (3 * 5) = 2/3

To find the angle θ, we can take the inverse cosine (cos^-1) of 2/3:

θ = cos^-1(2/3) = 48.19 degrees

Therefore, the angle between the vectors a and b is approximately 48 degrees.

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Answer:

B. 5 2/5

Step-by-step explanation:

Use the long division solution to convert the original fraction  ( 27/ 5 )  to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division  ( 2 )  over the denominator of the original fraction  ( 5 )

The required formula to calculate exterior angle and an interior angle are  360°/n and (n-2) * 180°/n.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides). To create a closed figure, a minimum of three line segments must be connected end to end.

The measure of an exterior angle of a regular polygon with n sides is given by 360°/n. The measure of an interior angle of a regular polygon with n sides is given by (n-2) * 180°/n.

So if you provide the number of sides of the polygon, I can give you the measures of the exterior and interior angles rounded to the nearest tenth if necessary.

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To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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