pls help i’ll give you brain list answer

The expression equivalent to  4(6 -2x) is A. 24 - 8x.

An expression is a sentence in two or more than two variables separated by addition or subtraction or both. There are many types of mathematical expressions they are algebraic expressions, trigonometric expressions, logarithmic expressions, and many more.There are also three basic math properties they are commutative law which states a + b = b + a, associative law which states (a+b) + c = a + (b+c) and distribute law which states a(b+c) = ab + ac.

We know distributive property states that a(b+c) = b + bc.

∴ The expression 4(6 -2x) is equivalent to,

= 24 - 8x.

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The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer:

-$500

Step-by-step explanation:

Answer:

Step-by-step explanation:

100X5=500

500 Was deducted from the account

7 + 13а – 3- 20 + 2а

combine like terms

7+13a+2a-3-20

7+15a-3-20

then do -3-20

-3-20=-23

7+15a-23

7-23=-16

15a-16

answer:

15a-16 or -16+15a

Answer: b = 55° c = 125°

Step-by-step explanation:

55° is a vertical angle to b. This means that 55° = b

Supplementary means that 2 angles add up to 180° c is a supplementary angle to 55°, so 180 - 55 = 125°

I am not a professional, I am simply using prior knowledge!

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Answer:

B = 55

c= \(\frac{360 - (55*2)}{2}\)

 =125

Step-by-step explanation:

Answer:

Step-by-step explanation:

All functions have an inverse function, and for a function to have an inverse. The inverse of  \(f(x) = 3\sqrt(4x + 7) is f^-1(x) = (x^3 - 189)/108\)

The inverse function, often known as the "inverse mapping," is a function that "undoes" another function's operation. If a function f(x) translates an input x to an output y, the inverse function f(-1)(y) transfers the result y back to the input x.

To find the inverse of the function f(x) = 3√(4x + 7), we need to solve for x in terms of y.

Step 1: Replace f(x) with y

\(y = 3√(4x + 7)\)

Step 2: Cube both sides to eliminate the cube root

\(y^3 = 27(4x + 7)\)

Step 3: Simplify and solve for x

\(y^3 = 108x + 189\)

\(x = (y^3 - 189)/108\)

Step 4: Replace x with \(f^-1(x)\)

\(f^-1(x) = (x^3 - 189)/108\)

Therefore, the inverse of   \(f(x) = 3√(4x + 7) is f^-1(x) = (x^3 - 189)/108\) .

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

To find the first few coefficients in the power series for the function f(x) = x * ln(1+x), we will use the Taylor series expansion. The Taylor series for ln(1+x) is:

ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...

Now, multiply each term by x:

x * ln(1+x) = x^2 - (x^3)/2 + (x^4)/3 - (x^5)/4 + ...

The first few coefficients in the power series are: 0 (constant term), 0 (x term), 1 (x^2 term), -1/2 (x^3 term), 1/3 (x^4 term), and -1/4 (x^5 term).

For the radius of convergence, we'll use the Ratio Test. Observe the absolute value of the ratio of consecutive terms:

lim (n -> infinity) | (a_(n+1)/a_n) | = lim (n -> infinity) | (x^(n+2) * (n+1))/((n+2) * x^(n+1)) |

This simplifies to:

lim (n -> infinity) | x * (n+1)/(n+2) |

To converge, the limit must be less than 1:

|x * (n+1)/(n+2)| < 1

As n approaches infinity, the expression becomes |x|, so:

|x| < 1

Thus, the radius of convergence for the series is 1.

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\(15^2-4^2=225-16\\=209\)

\(\sqrt{209}\)≈14.9

Answer:

14.5

Step-by-step explanation:

15x15=225

4x4=16

225-16=209

The square root of 209 is 14.4568322948.

Which rounds to 14.5

Answer:

21

Step-by-step explanation:

2 dozen=24

24-3=21

Answer:

So I am not sure my answers are correct but I hope they help:

A. y = 6x+14

B. 6 people

A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

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Answer:

and?

Step-by-step explanation:

Answer:

Three consecutive even integers would be N, N%2B2, and N%2B4.

Find three consecutive even integers such that

"6 times the sum of the first and the third""6%28N%2B%28N%2B4%29%29=6%282N%2B4%29=12N%2B24

"is" translates to "="

"8 less than 14 times the second":14%2A%28N%2B2%29-8=14N%2B28-8=14N%2B20

.

.

.

12N%2B24=14N%2B20

Solve for N.

Then find N%2B2 and N%2B4.

Step-by-step explanation:

Answer:

52%

Step-by-step explanation:

The experimental probability of landing on tails is 52%. This is calculated by dividing the number of times tails was flipped (104) by the total number of flips (200). The probability is expressed as a percentage, so you would multiply the decimal result by 100%.

Here's the calculation:

104 / 200 = 0.52

0.52 x 100% = 52%

So the experimental probability of landing on tails is 52%.

Answer: B 52%

Step-by-step explanation:

Answer:

we have

Remember that

Multiply by  both sides

Simplify

The formula to solve a quadratic equation of the form  is equal to

in this problem we have

so

substitute in the formula

therefore

the answer is the option

x = negative 4 over 3 and x = 5

Answer:

72º

Step-by-step explanation:

The shape is a hexagon.

The sum of the interior angles of a hexagon is 720º.

So, 84º+157º+24º+281º+99º+xº=720º

648º+xº=720º

xº=72º

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

4(3x+7)

Step-by-step explanation:

12x+28

Bot numbers are divisible by 4

4*3 *x + 4*7

Factor out the 4

4(3x+7)

Answer:

  x = 5

Step-by-step explanation:

You want the equation of a line with undefined slope and an x-intercept of 5.

Slope is the ratio of "rise" to "run" for a line. If the line is vertical, the "run" is zero, making the denominator of the ratio is zero. Division by zero gives an "undefined" result.

If the slope of a line is "undefined", it is a vertical line. It has the same x-value everywhere. Its equation is ...

  x = c . . . . . for some constant

Here, the vertical line crosses the x-axis at x=5. That is the equation of the line:

  x = 5

Answer: \(V=216.64\ in.^3\)

Step-by-step explanation:

Given

Height of cup \(h=10.2\ inch.\)

radius of cup \(r=2.6\ inch.\)

assume the cup is in the shape of a cylinder

The volume of the cylinder is \(\pi r^2h\)

Put the values

\(\Rightarrow V=\pi \times 2.6^2\times 10.2\\\Rightarrow V=216.64\ in.^3\)

Answer:

250

Step-by-step explanation:

I looked up s=d/t calculator and it is the calculator soup link

Answer:

15.75

Step-by-step explanation:

The linearization of the function f(x) = ln(1+x) at x = 0 is L(x) = x.

To approximate ln(1.02), we can use the linearization at x = 0. Since 0.02 is a small value, we can approximate ln(1.02) by evaluating the linearization at x = 0.02.

L(0.02) = 0.02.

Therefore, the approximation for ln(1.02) using the linearization is 0.02.

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ANSWER :

55.5 ft

EXPLANATION :

Recall the cosine law :

where a and b are the sides of the triangle with an included angle C as the angle between them.

and c as the opposite side to that included angle.

From the problem, the two sides are a = 95 ft and b = 114 ft

The included angle between them is C = 29 degrees

and c is the distance between kites

Using the formula above :