I will give brainliest!

Answer: 12.8x^2

Step-by-step explanation:

3.2x * 4x=

3.2 * x * 4 * x=

3.2 * 4 * x * x=

12.8 * x^2=12.8x^2

Answer: 27?

Step-by-step explanation:

Uhhh...

Given:    \(\frac{1}{3}x + 5x = -6\)

To find: x = ?

Solution:  

\(\frac{1}{3}x + 5x = -6\\ \\\frac{x+15x}{3} = -6\\\\\ 16x = -18\\\\x= \frac{-18}{16}\\ \\x = \frac{9}{8} \\\\x = 1.125\)

The value k = 6 satisfies both equations Kx + 3y − (K − 3) = 0 and 12x + Ky − K = 0.

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

An equation that depicts a straight line on a graph is said to be linear. The "line" in the name of the equation will help you remember this. Regular Form. Standard forms for linear equations look like this: Ax + By = C.

A linear equation has the form y = mx + b in the slope-intercept notation. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. (b).

Given

Kx + 3y −(K − 3) = 0

Comparing with \($a_1 x+b_1 y+c 1=0$\)

\($$\therefore \mathrm{a}_1=\mathrm{k}, \mathrm{b}_1=3, \mathrm{c}=-(\mathrm{k}-3)$$\)

12x + ky - k = 0

Comparing with \($a_1 x+b_1 y+c 1=0$\)

\($$\therefore a_1=12, b_1=k, c=-k$$\)

Since equation has infinite number of solutions

So, \($\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$\)

substitute the values in the above equation, we get

\($\frac{\mathrm{k}}{12}=\frac{3}{\mathrm{k}}=\frac{\mathrm{k}-3}{\mathrm{k}}$$\)

simplifying the equation, we get

\($\frac{\mathrm{k}}{12}=\frac{3}{\mathrm{k}}$$\)

\($$\mathrm{k}^2=12 \times 3$$\)

\($$\mathrm{k}^2=36$$\)

\($$\mathrm{k}=\pm 6$$\)

\($\frac{3}{\mathrm{k}}=\frac{\mathrm{k}-3}{\mathrm{k}}$$\)

simplifying the equation, we get

\($$3 \mathrm{k}=\mathrm{k}(\mathrm{k}-3)$$\)

\($$\mathrm{k}=\pm 6$$\)

\($\frac{3}{k}=\frac{k-3}{k}$$\)

\($$3 \mathrm{k}=\mathrm{k}(\mathrm{k}-3)$$\)

simplifying the equation, we get

\($$3 k=k^2-3 k$$\)

\($$\mathrm{k}^2-3 \mathrm{k}-3 \mathrm{k}=0$$\)

\($$k^2-6 k=0$$\)

\($$\mathrm{k}(\mathrm{k}-6)=0$$\)

k = 0, 6

Therefore, k = 6 satisfies both equations.

The complete question is:

For what value of K will the following pair of linear equations have infinitely many solutions?

Kx + 3y −(K − 3) = 0

12x + Ky − K = 0

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Answer: m∠x = 40°

Step-by-step explanation:

This works the exact same way as the other one

Being adjacent angles in a parallelogram, the two angles would be supplementary (add up to 180°).

140° + x° = 180°

x = 40°

Answer:

Step-by-step explanation:

y=10

The length of one side of the room is (3x + √2) feet. To determine the length of one side of the room, we need to find the square root of the area.

The given area is 9x² - 6x.

Taking the square root of this expression gives us:

√(9x² - 6x)

Now let's factor the expression inside the square root:

√(3x * 3x - 2 * 3x)

Simplifying further:

√(3x(3x - 2))

The expression inside the square root can be factored as a difference of squares:

√(3x(√3x - √2)(√3x + √2))

Since we want to find the length of one side, we can ignore the negative square root and focus on the positive square root:

√(3x + √2)(√3x + √2)

Therefore, the length of one side of the room is (3x + √2) feet.

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The point on the graph where the tangent plane is parallel is (52, 52, -5382).

What is the tangent plane?

The surface that contains all tangent lines of the curve at a point, $P$, that lies on the surface and passes through the point is represented by the tangent plane. We discovered earlier in our talks of derivatives and tangent lines that we can use tangent lines to mimic the behavior of a graph. We may employ tangent planes for a similar reason now that we're working with multivariable functions and three-dimensional coordinate systems.

Here, we have

Given: Let P be the tangent plane to the graph of g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286). Let f(x, y) = 26 – x² - y².

We have to find the point on the graph where the tangent plane is parallel.

Let P be the tangent plane to the graph z = g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286).

φ(x,y,z) = 13x² + 26y² + z - 26

Δφ = 26xi + 52yj + k

Δφ(4, 2, –286) = 104i + 104j + k

Then,

P: 104(x-4) + 104(y-2)+1(z+286) = 0

104x + 104y + z = 338...(1)

Now, Let

ψ(x,y,z) =  x² + y² + z - 26

Δψ = 2xi + 2yj + k

Let (x₀,y₀,z₀) be the point of the graph z = f(x,y) = 26 – x² - y² where the tangent plane in the plane is parallel to equation (1).

Δψ (x₀,y₀,z₀)  =  (2x₀,2y₀,1)

= 2x₀/104 = 2y₀/104 = 1/1

x₀ = 52 = y₀

Now, z₀ = 26 – x₀² - y₀² = 26 – 52² - 52²= -5382

Hence,  the point on the graph where the tangent plane is parallel is (52, 52, -5382).

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Answer:9

Step-by-step explanation:

Answer:

10x-20

Step-by-step explanation:

x times 10 is 10x

10x - 20 = 10x - 20

in conclusion you cannot subtract a number from a variable

20 subtracted from the product of x and 10?

answer : 10x-20

Step-by-step explanation:

x = 112°

y = z = 180° - 112° = 68°

The radius of convergence is 2.3 and the upper bound for the maximum error (or remainder) when using the Taylor polynomial of degree 3 on the interval (1,3) is 3/2 or 1.5 units.

2. Taylor series of f(x) = ln(x) about a = 2:

We have to find the Taylor series for f(x) = ln(x) about a = 2.

The Taylor series is given by f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ... + f^n(a)(x - a)^n/n! + ...

Applying this formula for f(x) = ln(x), we have f(2) = ln 2f'(x) = 1/x ; f'(2) = 1/2 ;f''(x) = -1/x^2 ; f''(2) = -1/4;f'''(x) = 2/x^3; f'''(2) = 1/4 ;

Hence, the Taylor series of ln(x) about a = 2 is given by f(x) = ln 2 + (x - 2)/2 - (x - 2)^2/8 + (x - 2)^3/24 + ... and so on. We have to find the radius of convergence.

Using the ratio test to find the radius of convergence for this series:lim n→∞ |a_n+1 / a_n| = lim n→∞ |(-1)^(n+1) (x - 2)^n / (2^n * n)| = lim n→∞ |(x - 2)/2 * 1/(n + 1)|

On applying the limit, we get the value to be (x - 2)/2. The series converges when |x - 2| < 2. Hence, the radius of convergence is 2.3.

Upper bound for the maximum error (or remainder) when using the Taylor polynomial of degree 3 on the interval (1,

3):The formula for the error or the remainder in the Taylor series is given by R_n(x) = (f^(n+1) (c))/(n+1)! (x - a)^(n+1) where c is a number between a and x.

Hence, we can write the error as R_3(x) = (f^(4) (c))/(4!) (x - 2)^4 for a = 2 and n = 3.Since f(x) = ln x, we have f^(4) (x) = -6/x^4. We need to find an upper bound for this error on the interval (1, 3). Hence, we need to find the value of c that will give us the maximum value of |f^(4) (c)| in this interval.

We have f^(4) (x) = -6/x^4. The maximum value of this on the interval (1, 3) will occur at x = 1. Hence, the maximum value of |f^(4) (c)| on the interval (1, 3) is |-6|.

Using this value and the value of (x - 2)^4 on the interval (1, 3), we can writeR_3(x) = |-6| / (4!) * (x - 2)^4 <= 6 / 24 * 2^4 = 3/2.

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To simplify the given polynomial expression, we can start by combining like terms.

First, let's simplify the first part of the expression: (3x^2 - x - 7) - (5x^2 - 4x - 2).

Combining like terms, we have: (3x^2 - 5x^2) + (-x + 4x) + (-7 - 2).

This simplifies to: -2x^2 + 3x - 9.

Next, let's simplify the second part of the expression: (x + 3)(x + 2).

Using the distributive property, we expand this expression: x(x + 2) + 3(x + 2).

Multiplying, we get: x^2 + 2x + 3x + 6.

Combining like terms, this simplifies to: x^2 + 5x + 6.

Now, we can combine the simplified parts of the expression:

(-2x^2 + 3x - 9) + (x^2 + 5x + 6).

Combining like terms, we get: -x^2 + 8x - 3.

Therefore, the simplified polynomial expression is: -x^2 + 8x - 3.

The degree of the polynomial is determined by the highest power of x in the expression. In this case, the highest power is 2 (x^2), so the degree of the polynomial is 2.

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The respective values in gigabytes (G) using the 2 to the power notation based on the 1G = \(2^3^0\) relationship are 10M = 0.01G, 100M = 0.1G, 110M = 0.11G

To convert values using the 2 to the power notation, we can use the relationship that 1G equals 2 to the power of 30 (\(2^3^0\)).

Here's how to express 10M, 100M, and 110M using this notation:

1. 10M:

To convert 10M (10 million) to the 2 to the power notation, we need to express it in terms of G (gigabytes).

Since 1G is equal to \(2^3^0\), we can calculate the value of 10M as follows:

  10M = (10/1000)G = 0.01G

Therefore, 10M is equivalent to 0.01G.

2. 100M:

Similarly, to express 100M (100 million) in the 2 to the power notation:

  100M = (100/1000)G = 0.1G

Therefore, 100M is equivalent to 0.1G.

3. 110M:

For 110M (110 million) in the 2 to the power notation:

  110M = (110/1000)G = 0.11G

Therefore, 110M is equivalent to 0.11G.

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Step-by-step explanation:

X=8 if that's what you are asking

Answer:

x=8

Step-by-step explanation:

First distribute the 4

4x-12=20

Then add 12 to both sides

4x=32

Then divide both sides by 4

x=8

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values

Answer:

the average distance from the mean is 84.8

Step-by-step explanation:

The computation of the average distance from the mean is shown below;

= Total sum ÷ number of observations

= (80 + 76 + 88 + 96+ 75 + 83 + 68 + 94 + 99 + 89) ÷ (10)

= 848 ÷ 10

= 84.8

Hence, the average distance from the mean is 84.8

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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As pert the t-test there is sufficient evidence that the average family size in this school district differ from the national average.

Let us assume null and alternate hypothesis.

H₀ = Average family size is 3.18

Hₐ = Average family size is not 3.18

The value of t = (Sample Mean - 3.18) / s/√n

where,

Sample Mean = 3.83

n = 24

s = 1.43

So, t = (3.83 - 3.18) / (1.43 / √24)

t = 2.2268

Degree of freedom = n - 1 = 23

The p-value = 0.0360

As the p-value <0.05, so the null hypothesis will be rejected.

Therefore, there is enough proof to conclude that this school district's average family size is different from the national average.

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Answer: 195°

Step-by-step explanation:

The sum of interior angles can be found by using this formula

(n - 2)180

(7 - 5)180

5 * 180

900 = sum of interior angles

900 - 120 = 780

Now we divide it by 4

780 ÷ 4 = 195°

The equal angles is 195°

Answer:

C

Step-by-step explanation:

Answer:

4 cups I believe

Step-by-step explanation:

Answer:

5280 cubic inches

Step-by-step explanation:

V= l * w * h

V= 18 * 12 * 20

V= 4320 cubic inches

Then do the first measurement subtracted by the second one because it wants to know the difference.

9600 - 4320 = 5280 cubic inches

Answer:

Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.

Step-by-step explanation:

The blue points are function one, the black line is function 2.

Answer:

180°

Step-by-step explanation:

Angles that are called straight angles make up a straight line.

A straight line measures 180°.

So, angles on a straight line make up 180°.

Hope this helps.

Answer:

4^15/ b^21

Step-by-step explanation:

( b^7 / 4^5) ^ -3

b^7 ^ -3  / 4^5^-3

We know that x^y^z = x^ (y*z)

b^ (7*-3) / 4^(5*-3)

b ^ -21 / 4 ^ -15

We know that a^ -b = 1/ a^b

We do not like to leave negative exponents

1 * b^21  * 4  ^15

4^15/ b^21