3/2(6x+2)=-3(x-1) need help with this

Answer:

n=-141/49

Step-by-step explanation:

Answer:

-4a+3+2a+6 the two expression

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\( \large \sf \underline{Direction:}\)

Evaluate the given expression.

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\( \large \sf \underline{Answer:}\)

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\( \large \sf \underline{Explanation:}\)

In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.

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\(\large \boldsymbol{} \sf 1. ~~ 6^2 = \pmb{36} \\\\\\ 2. ~~ 7^4 = 7^2 \cdot 7^2 = 49 \cdot 49 = (49 +1)(49-1) + 1=\pmb{2401} \\\\\\ 3. ~~12^2= \pmb{144} \\\\\\ 4 . ~~ 3\cdot 3\cdot 3 \cdot 3\cdot 3 = 3^5 = \pmb{243 }\\\\\\ 5 . ~~ 4^4 = 4^2 \cdot 4^2 = 16 \cdot 16 = \pmb{256}\)

Answer:

A ................................

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

As given , f(x) = \(\sqrt[4]{1 + 2x}\)

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = \(\sqrt[4]{1 + 0}\) = 1

Also,

f'(x) =

\(\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\\)

∴ we get

f'(x) = \(\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }\)

⇒f'(0) = \(\frac{1}{2}\)

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + \(\frac{1}{2}\) (x)

⇒ \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

Hence verified.

Now,

|\(\sqrt[4]{1 + 2x}\) - (1 + \(\frac{1}{2}\) x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]

Answer:

\(5 { \times 54}^{2} \)

We have that the  code outputs are

Generally The Matlab Code mathematically given as

f = [0.00 3.44 6.35 8.31 9.06 8.60 7.12 4.98 2,60 0.39 -1.36 -2.48 -3.00 -3.07 -2.89 -2.68 -260 -2.68 -2.88 -3.06 -3.06 -2.76 -2.11 -1.15 0.00 1;

f_ext = [-flip(f(2:25)); f1; % odd extension of f; plot(f_ext)

N = numel(f_ext); x = linspace(-pi, pi, N)';

b = zeros(4, 1);

for k = 1:4

b(k, 1) = 1/pi • cumtrapz(x, sin(k*x) .* f_ext)(N);; % integral approximation.

end

fprintf("%.2f\n“, b) % print b to stdout

Therefore

We have outputs

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Complete Question

The complete question is Attached below

Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles

The car gets 46 miles per gallon in the city.

Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:

10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.

Now multiply gallons used by price per gallon:

217.3913 x $1.75 = $380.43 per year

Answer:

w=8

w+p+l = 35

=8\35 =0.228

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

1 tenth a yard to have 1 tenyard left

Step-by-step explanation:

Answer:

x = 20

z = 87

Step-by-step explanation:

Suplementary angles:

9x - 87 + 87 = 180

9x = 180

x = 20

Vertical angles:

z = 87

Answer:

z=87    x=20

Step-by-step explanation:

z=87 because vertical angles are congruent

87x2=174

360-84 =186

186/2=93    (the other 2  vertical angles are 93 each)

9x-87 =93

9x=180

x=20

Answer:

hello good evening

be happy always

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

\(2\pi r\) = Circumference.

\(2 * \pi * 6\) = \(12\pi\)

Find the ratio of the angle in relation to the entire circle:

\(30^o\) is what we have. So:

\(\frac{30^o}{360^o} = \frac{1}{12}\)

Use the ratio and multiply the circumference to find the length:

\(12\pi * \frac{1}{12}\) = \(\pi\)

Round answer to the hundredth:

\(\pi = 3.14\)

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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The statement missing in the proof is option D. m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘.

A triangle is classified as a geometric shape with three sides and three angles. It is one of the basic shapes in geometry, and is typically characterized by its three interior angles, which must add up to 180 degrees. The most common types are the equilateral triangle (all sides equal), the isosceles triangle (two sides equal), and the scalene triangle (no equal sides).

A proof involves logical deduction of the statements in order to arrive at a conclusion. In this case, the conclusion is that the angles 3, 5, and 7 are all congruent. To do this, the proof must show that the angles add up to 180 degrees, which is the sum of the angles in a triangle. Option D, m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘, is the statement that must be included in the proof to show that the angles are congruent. Without this statement, it is impossible to prove that the three angles are congruent. Therefore, Option D is the missing statement in the proof.

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Answer:

The two fractions are equivalent; another equivalent fraction is 3/6

Step-by-step explanation:

\(\frac{1}{2}\) x 4 = 4/8, therefore the fractions are equivalent.

1/2 x 3 = 3/6 which is equivalent to 1/2.

Answer:

c. you reject a null hypothesis that is true

Step-by-step explanation:

We need to remember the following concepts

Error type I: Is an error associated to the probability of reject a null  hypothesis when it is actually true

Error type II: Is an error associated of not rejecting a null  hypothesis when the alternative hypothesis is the true

And the best answer for this case would be:

c. you reject a null hypothesis that is true

Answer:

Step-by-step explanation:

Given that :

Mean (μ) = 2500

Standard deviation (σ) = 400

P = 97.5% = 0.975

Zscore corresponding to p(z > x) = 0.975

Z = - 1.96 ( Z probability calculator)

Using the relation :

Zscore = (score (x) - μ) / σ

-1.96 = (x - 2500) / 400

x - 2500 = 400 * - 1.96

x - 2500 = - 784

x = - 784 + 2500

x = 1716

Hence, number of flying hours required is 1716

Answer:

y=-2x+5..…...........

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

0 ≤ < 2

Step-by-step explanation:

Answer:1.02 5.27 are correct

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

3u^2 + 6u - 4 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = 6, and c = -4. Substituting these values, we get:

u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)

u = (-6 ± sqrt(84)) / 6

u = (-3 ± sqrt(21)) / 3

Therefore, either:

Answer:

the meaning is "a collection of historical documents or records providing information about a place, institution, or group of people."

Step-by-step explanation:

hope this helped and plz mark me as brainliest!

Answer:

a collection of historical documents or records providing information about a place, institution, or group of people

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

To determine the value of an expression for a given value of the variable we just need to plug the value of the variable in the expression and perform all the operations. In this case the expression is:

and the value of x is -1, this means that we need to plug -1 in the expression; then we have:

Therefore, if x=-1 the value of the expression is -14

Answer:

13

Step-by-step explanation:

We can use the Pythagorean Theorem to complete this problem.

1. \(a^2+b^2=c^2\)

2. \(12^2+ 5^2 = 144 + 25\)

3. \(144 + 25 = 169\)

4. \(\sqrt{169} = 13\)