Find value of x :

\( \tt54x + 1 = 55\)
​

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

To find dy/dx for the given equation y^3 + x^4y^6 = 5 + ye^x, we'll differentiate both sides of the equation with respect to x using the chain rule and product rule as needed.

Differentiating y^3 + x^4y^6 = 5 + ye^x with respect to x:

Differentiating y^3 with respect to x:

(d/dx)(y^3) = 3y^2 * dy/dx

Differentiating x^4y^6 with respect to x using the product rule:

(d/dx)(x^4y^6) = 4x^3 * y^6 + x^4 * 6y^5 * dy/dx

Differentiating 5 with respect to x:

(d/dx)(5) = 0

Differentiating ye^x with respect to x using the product rule:

(d/dx)(ye^x) = e^x * dy/dx + y * e^x

Putting it all together, we have:

3y^2 * dy/dx + 4x^3 * y^6 + 6x^4 * y^5 * dy/dx = e^x * dy/dx + y * e^x

Now, let's solve for dy/dx by isolating the terms with dy/dx:

3y^2 * dy/dx + 6x^4 * y^5 * dy/dx - e^x * dy/dx = -4x^3 * y^6 - y * e^x

Factoring out dy/dx:

(3y^2 + 6x^4 * y^5 - e^x) * dy/dx = -4x^3 * y^6 - y * e^x

Dividing both sides by (3y^2 + 6x^4 * y^5 - e^x):

dy/dx = (-4x^3 * y^6 - y * e^x) / (3y^2 + 6x^4 * y^5 - e^x)

Therefore, dy/dx for the given equation y^3 + x^4y^6 = 5 + ye^x is given by the expression:

dy/dx = (-4x^3 * y^6 - y * e^x) / (3y^2 + 6x^4 * y^5 - e^x)

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The correct answer is (c) 1.9

To calculate the test statistic in this example, we can use the formula for a z-test for proportions:

\(z = (p - P) / \sqrt{[P(1-P) / n]\)

where:

p is the sample proportion of vegetarians (140/1000 = 0.14)

P is the hypothesized population proportion of vegetarians (0.12)

n is the sample size (1000)

Substituting these values into the formula, we get:

\(z = (0.14 - 0.12) / \sqrt{[0.12(1-0.12) / 1000]\)

z = 0.02 / 0.0110

z = 1.818 (rounded to three decimal places)

Therefore, the test statistic in this example will be approximately equal to 1.818. The answer closest to this value is (c) 1.9

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160 of the 216 unit cubes got any paint.

To find out how many of the 216 unit cubes got any paint, we can use the following method:

First, we need to calculate the number of unit cubes on the surface of the 6×6×6 cube.

This can be done by multiplying the length, width, and height of the cube by 2 (since there are two faces on each side) and then subtracting the number of unit cubes in the corners and edges (since they are counted twice).

The number of unit cubes on the surface of the 6×6×6 cube is 6×6×2 + 6×6×2 + 6×6×2 - 8 - 12×4 = 216 - 8 - 48 = 160.

Therefore, 160 of the 216 unit cubes got any paint.

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The solution using the butterfly method is -141/297

Using the butterfly method, we have that the steps for adding fractions are;

From the information given, we have that;

-4/11 + -2/3 - -5/9

-4/11 - 2/3 + 5/9

Add the values, we have;

-4/11 + 5/9 - 2/3

Multiply the numerators

-36 + 55/99

19/99 - 2/3

57 - 198/297

Subtract the values

-141/297

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19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

.73 is the answer. Hope this helps! Brainliest?

Answer:

0.72727272

nearest hundredth =0.73

So the right answer is 7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~Pragya

Answer:

The axis of symmetry is (0,0)

Step-by-step explanation:

This is the picture

c. a = 3√2, b = 6√2

#1.First, you find the opposite of the left triangle using sin formula

#2.After you get the opposite, find the b using sin formula and a using tan formula

•Right triangle

Hypotenuse = 6

Adjacent = ?

Opposite = ?

• Left triangle

Hypotenuse = b

Adjacent = a

Opposite = ?

a. adjacent of right triangle

b. hypothenuse of left triangle

#1. Sin(∅)= opposite/hypotenuse

sin(45) = opposite/6

opposite = sin(45) × 6

opposite = 3√2

#2. a. tan(∅) = opposite/adjacent

tan(30) = 3√2 / a

a = 3√2 : tan(30)

a = 3√6

b. sin(∅) = opposite/hypotenuse

sin(30) = 3√2 / b

b = 3√2 : sin(30)

b = 6√2

#and so the a = 3√2 and b = 6√2

#you are welcome

#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.

Answer:

It is Option B

Hope it helps



Answer:

1/5 miles per minute

Step-by-step explanation:

1/10 is equivalent to 1/2 so you multiply both by 2:

1/5 is equivalent to 1

The volume of the joined prism is given by the sum of the volume of the

individual prisms.

Correct responses:

The rectangular prisms that could be joined to create a solid figure are;

The volumes of the given rectangular prisms are;

Volume of first prism, V₁ = 4 units × 4 units × 3 units = 36 cube units

Volume of second prism, V₂ = 4 units × 1 unit × 2 units = 8 cube units

Third prism, V₃ = 5 units × 3 units × 2 units = 30 cube units

Fourth prism, V₄ = 5 units × 4 units × 2 units = 40 cube units

Fifth prism, V₅ = 4 units × 2 units × 2 units = 16 cube units

V₁ + V₂ = 36 cube units + 8 cube units = 44 cube units

V₃ + V₅ = 30 + 16 = 46 cube units

Therefore the two rectangular prisms that could be joined to create a solid figure with a volume between 42 and 47 are;

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The three numbers are 4, 6, and 9.

Three numbers form a geometric progression.

Three numbers in a geometric progression can be written in terms of the first term (a) and the common ratio (r) as a, ar, ar². The second term is increased by 2, so the new terms are a, ar+2, ar².

Then the progression will become arithmetic: ar^2 - (ar+2) = (ar+2) - a

ar² - ar - 2 = ar + 2 - a

ar² - 2ar - a - 2 = 0 ...(1)

On solving equation (1), we get (r-1)(ar+2) = 0

If r = 1, then a, a+2, a+4 are in an arithmetic progression.

ar² + (ar+2+9) = (ar+2+9)²

ar² + ar + 11 = 0

On solving the above equation, we get:

r = (-1 ± √(1-4(11)a))/2a

As r ≠ 1, we have:

r = (-1+√(1-4(11)a))/2a

Substituting the value of r in equation (1), we get:

a = 4

Therefore, the three numbers are 4, 6, 9.

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The inverse function for the given function g(x) = 2x² - 8 is as :

For x ≥ 0: f(x) = √((x + 8) / 2)

For x ≤ 0: d(x) = -√((x + 8) / 2)

The given function is g(x) = 2x² - 8.

We need to find the inverse function for x ≥ 0 and x ≤ 0 separately.

For x ≥ 0:

To find the inverse function, we replace g(x) with y and solve for x.

y = 2x² - 8

Swap x and y:

x = 2y² - 8

Rearrange the equation to solve for y:

2y² = x + 8

y² = (x + 8) / 2

y = √((x + 8) / 2)

Therefore, for x ≥ 0, the inverse function is f(x) = √((x + 8) / 2).

For x ≤ 0:

To find the inverse function, we again replace g(x) with y and solve for x.

y = 2x² - 8

Swap x and y:

x = 2y² - 8

Rearrange the equation to solve for y:

2y² = x + 8

y² = (x + 8) / 2

y = -√((x + 8) / 2)

Therefore, for x ≤ 0, the inverse function is d(x) = -√((x + 8) / 2).

It's important to note that the inverse function is not defined for x = -4 because the square root of a negative value is not a real number.  

The inverse function for the given function g(x) = 2x² - 8 is as follows:

For x ≥ 0: f(x) = √((x + 8) / 2)

For x ≤ 0: d(x) = -√((x + 8) / 2)

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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem

it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.

To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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The inverse of the function f(x) = 3(x - 4)² + 5 is f^-1(x) = √[(x - 5)/3] + 4

A function is said to have an inverse if it is both one-to-one and onto

For the function f(x) = 3(x - 4)² + 5

we replace f(x) with y and make x the subject to arrive at the inverse f^-1(x) as follows;

y = 3(x - 4)² + 5

y - 5 = 3(x - 4)² + 5 - 5 {subtract 5 from both sides}

(y - 5)/3 = [3(x - 4)²]/3 {divide through by 3}

also;

(x - 4)² = (y - 5)/3

x - 4 = √[(y - 5)/3] {square root of both sides}

x - 4 + 4 = √[(y - 5)/3] + 4

x = √[(y - 5)/3] + 4

so,

y = √[(x - 5)/3] + 4 and

f^-1(x) = √[( - 5)/3] + 4

Hence, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = √[(x - 5)/3] + 4.

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Answer:x=

14 y=12

Step-by-step explanation:

Answer:

671.25

Step-by-step explanation:

The value of {b}, for the expression (r⁹s³)(7r²s)ᵇ will be zero.

Given is the expression as -

(r⁹s³)(7r²s)ᵇ

We can write -

(r⁹s³)(7r²s)ᵇ = 0

0/(r⁹s³) = (7r²s)ᵇ

(7r²s)ᵇ = 0

b = 0

Therefore, the value of {b}, for the expression (r⁹s³)(7r²s)ᵇ will be zero.

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Answer: -14

Step-by-step explanation

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

y = 2x + 2

Hope you have a great day!

The coordinates of the resulting point, R′ are R' = (-9, -2)

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

The point R(-2, 9) is rotated 90° clockwise around the origin.

This means thar

R = (-2, 9)

Rotation rule = 90° clockwise around the origin.

The rotation rule of 90° clockwise around the origin is

(x,y) becomes (y,-x)

So, we have

R' = (y, -x)

Substitute the known values in the above equation, so, we have the following representation

R' = (-9, -2)

Hence, the coordinates of the resulting point, R′ are R' = (-9, -2)

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Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

The wide-area search method employs the use of markers such as knots at regular intervals along the search line.

Given the method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line.

In order to locate, relieve distress, and preserve the life of a person who has been reported missing or is believed to be lost, stranded, or is considered a high-risk missing person, wide area search and rescue refers to activities occurring within large geographic areas. It also refers to the removal of any survivors to a safe location.

Hence, the wide-area search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line

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