What value of x makes this equation true 10x-6=3(x+1/2

Answer:

$8

Step-by-step explanation:

20% is 1/5, so you can basically divide $40 by 5, which is $8.

Answer:

they are wrong the first one is the B one and the next one is D have a good day.

Step-by-step explanation:

Answer:

A. parallel lines

You can also use the app desmos to help you graph equations.

Answer:

500.3 cm³

Step-by-step explanation:

Find the area of base first, then multiply the height.

Area of the circular base

= π × 3.5²

= 38.48451...

= 38.5 cm² (rounded to the nearest tenth)

Volume of the circular prism

= 38.5 × 13

= 38.48451... × 13

= 500.29863...

= 500.3 cm³

Answer:

0.9063

Step-by-step explanation:

Complementary angles are two angles whose sum is 90 degrees. In triangle ABC, if angle A and angle B are complementary, then we can write:

angle A + angle B = 90 degrees

Since this is a right triangle, we can use the trigonometric functions to find the lengths of the sides. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse:

cos A = adjacent/hypotenuse

cos B = adjacent/hypotenuse

Since angles A and B are complementary, we can substitute 90 - A for B:

cos (90 - A) = adjacent/hypotenuse

sin A = adjacent/hypotenuse

So, to find the value of cos 25 degrees in this triangle, we need to find the sine of the complementary angle 65 degrees. Using the same logic as above, we can write:

sin (90 - 25) = adjacent/hypotenuse

cos 25 = adjacent/hypotenuse

We know that sin 65 = cos 25, so we can write:

cos 25 = sin 65

We can use a calculator to find that sin 65 is approximately 0.9063. Therefore, cos 25 is equivalent to approximately 0.9063.

Given: [u, v, w] = 11To find: [w-v, u, w]Solution:In the expression [w-v, u, w], we have to replace the values of w, v and u.

Substituting w = 11, u = v = 0 in the given expression, we get;[w-v, u, w] = [11 - 0, 0, 11] = [11, 0, 11]Therefore, the answer is [11, 0, 11].Hence, the correct option is not (a) and the answer is [11, 0, 11].11 are provided for [u, v, and w].Find [w-v, u, w]The values of w, v, and u in the expression [w-v, u, w] must be modified.By replacing w, u, and v with 11, 0, and 0, respectively, in the previous formula, we arrive at [w-v, u, w] = [11 - 0, 0, 11] = [11, 0, 11].Therefore, the answer is [11, 0, 11].As a result, option (a) is erroneous and the answer of [11, 0, 11] is the right one.

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The answer for the given matrix is [11, 0, 11]. As a result, option (a) is erroneous and the answer of [11, 0, 11] is the right one.

Given: [u, v, w] = 11

To find: [w-v, u, w]

In the expression [w-v, u, w], we have to replace the values of w, v and u.

Substituting ,

w = 11,

u = v = 0 in the given expression, we get;

[w-v, u, w]

= [11 - 0, 0, 11]

= [11, 0, 11]

Therefore, the answer is [11, 0, 11].

Hence, the correct option is not (a) and the answer is [11, 0, 11]. 11 are provided for [u, v, and w].

Find [w-v, u, w]

The values of w, v, and u in the expression [w-v, u, w] must be modified. By replacing w, u, and v with 11, 0, and 0, respectively, in the previous formula, we arrive at [w-v, u, w] = [11 - 0, 0, 11] = [11, 0, 11].

Therefore, the answer is [11, 0, 11].As a result, option (a) is erroneous and the answer of [11, 0, 11] is the right one.

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The total number of counters in the bag is given as follows:

23 counters.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probability of taking a blue counter is of 0.8, while there are 18 blue counters in the bag, hence the total number of counters in the bag is obtained as follows:

0.8 = 18/n

0.8n = 18

n = 18/0.8

n = 23 counters. (rounding up).

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start by giving the number a variable

number = x

now continue by writing the left part of the inequality multiplying by -4

remember that when writing <,> , they are always pointing to the smaller one.

Continue by completing the right side

Simplify by dividing by -4 on each side

answer:

In order to fulfill the inequality x must be less than or equal to -4-

REMEMBER

When the exercise says

Less than we use symbol

Less than or equal to we use the symbol

Greater than we use the symbol

Greater than or equal to we use the symbol

Answer: $201.6

Step-by-step explanation: $160+26%/100=201.6

\([Hello,BrainlyUser]\)

Answer:

$201.60

Step-by-step explanation:

Marks up ⇒ Increase ⇒ Add

$160 x 26% =41.60

$160 + 41.60=201.6

Answer → $201.6

Hence, Price of the bookcase in the furniture store is $201.60

[CloudBreeze]

Answer:

No solution (0 = 1)

Step-by-step explanation:

Given equation,

→ 5 + 2x = 2x + 6

Then the value of x will be,

→ 5 + 2x = 2x + 6

→ 2x = 2x + 6 - 5

→ 2x - 2x = 1

→ 0 = 1

Hence, there is no solution.

\(\boxed{\begin{array}r \large{ \tt solution \: : } \: \: \: \: \: \\ \\ { \longrightarrow5 + 2x = 2x + 6}  \\ \\ \\ ( \sf 2x \: \: present \: \: on \sf\: \: both \: \: \\ \sf sides \: \: of \: \: equality \: \: \: \\ \sf \: \: gets \: \: \sf canceled\: \: out) \\ \\ \sf \longrightarrow5 \neq6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \: \: therefore \: \: there \: \: is \\ \tt no \: \:solution \: \: for \: \: x \: \: \\ \\ \tt that \: \: is \: \: no \: \: value \: \: \: \: \\ \tt \: of \: \: x \: \: that \: \: satisfies \\ \tt the \: \: given \: \: equation\end{array} }\)

(a) To satisfy (*) with X ~ N(0, 1) and Z ~ N(0, 2), we can rearrange the equation as follows: Y = Z - X. Since X and Z are normally distributed, their linear combination Y = Z - X is also normally distributed.

The mean of Y is the difference of the means of Z and X, which is 0 - 0 = 0. The variance of Y is the sum of the variances of Z and X, which is 2 + 1 = 3. Therefore, Y ~ N(0, 3). The joint distribution of X, Y, and Z is multivariate normal with means (0, 0, 0) and covariance matrix:

```

   [ 1  -1  0 ]

   [-1   3 -1 ]

   [ 0  -1  2 ]

```

(b) i. To show that X and Y are dependent, we need to demonstrate that their covariance is not zero. Since Y = aX, the covariance Cov(X, Y) = Cov(X, aX) = a * Var(X) = a * 2 ≠ 0, where Var(X) = 2 is the variance of X. Therefore, X and Y are dependent.

ii. For Y = aX to hold, we require a ≠ 0. If a = 0, Y would always be zero regardless of the value of X. The variance of Y can be obtained by substituting Y = aX into the formula for the variance of a random variable:

Var(Y) = Var(aX) = a^2 * Var(X) = a^2 * 2

iii. The smallest variance that Y can have is 2, which is achieved when a = ±√2. This occurs when Y = ±√2X.

iv. To find the joint distribution of X, Y, and Z such that Y assumes the variance bound of 2, we can substitute Y = √2X into the covariance matrix from part (a). The resulting covariance matrix is:

```

   [ 1   -√2   0 ]

   [-√2   2   -√2]

   [ 0   -√2   2 ]

```

The determinant of this covariance matrix is -1. Therefore, the determinant of the covariance matrix of the random vector (X, Y, Z) is -1.

Conclusion: In part (a), we found that Y follows a normal distribution with mean 0 and variance 3 when X ~ N(0, 1) and Z ~ N(0, 2). In part (b), we demonstrated that X and Y are dependent. We also determined that Y = aX is possible for any a ≠ 0 and found the corresponding variance of Y to be a^2 * 2. The smallest variance Y can have is 2, achieved when Y = ±√2X. We constructed a joint distribution of X, Y, and Z where Y assumes this minimum variance, resulting in a covariance matrix determinant of -1.

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Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.

405cm²

Answer: 14 problems worth 5 points and 15 problems worth 2 points

Step-by-step explanation:

We can plot in the coordinate plane if an ordered pair is known to us.

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

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The equation \(x^2 - 4x + y^2 + 8y\) can be rewritten as \((x - 2)^2 + (y + 4)^2 = 20\), and the center of the circle is \((2, -4)\) with a radius of \(2sqrt(5).\)

To complete the square and rewrite the equation, let's focus on the terms involving x and y separately.

For \(x^2 - 4x\), we can complete the square by taking half of the coefficient of x, which is -4, and squaring it: \((-4/2)^2 = 4\). Add this value to both sides of the equation:

\(x^2 - 4x + 4 = 4\)

For y^2 + 8y, we can complete the square by taking half of the coefficient of y, which is 8, and squaring it: (8/2)^2 = 16. Add this value to both sides of the equation:

\(y^2 + 8y + 16 = 16\)

Now, let's rewrite the equation using these completed squares:

\((x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16\)

Simplifying the equation:

\((x - 2)^2 + (y + 4)^2 = 20\)

Now we can identify the center and radius of the circle. The equation is in the form\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle, and r represents the radius.

From our equation, we can see that the center of the circle is (2, -4) and the radius is \(sqrt(20)\), which simplifies to \(2sqrt(5)\).

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The equation \(\[ x^2 - 4x + y^2 + 8y \]\) can be rewritten as \(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\). The center of the circle is (2, -4), and the radius is \(\[ \sqrt{20} \]\).

To rewrite the given equation using the method of completing the square, we need to rearrange the terms and add a constant value on both sides of the equation. Let's start with the given equation:

\(\[ x^2 - 4x + y^2 + 8y \]\)

To complete the square for the x terms, we take half of the coefficient of x (-4) and square it. Half of -4 is -2, and (-2)² is 4. We add this value inside the parentheses to both sides of the equation:

\(\[ x^2 - 4x + 4 + y^2 + 8y \]\)

For the y terms, we follow the same process. Half of the coefficient of y (8) is 4, and (4)² is 16. We add this value inside the parentheses to both sides of the equation:

\(\[ x^2 - 4x + 4 + y^2 + 8y + 16 \]\)

Now, we can rewrite the equation as:

\(\[ (x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16 \]\)

The first parentheses can be factored as a perfect square: (x - 2)².

Similarly, the second parentheses can be factored as a perfect square: (y + 4)². Simplifying the right side gives us:

\(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\)

Comparing this equation to the standard form of a circle, \(\[ (x - h)^2 + (y - k)^2 = r^2 \]\), we can identify the center and radius of the circle. The center is given by (h, k), so the center of this circle is (2, -4).

The radius, r, is the square root of the number on the right side of the equation, so the radius of this circle is \(\[ \sqrt{20} \]\).



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In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

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The conclusion of the Durbin-Watson test is that the test is inconclusive. Therefore option e is correct.

To determine the conclusion of the Durbin-Watson test:

Follow these steps:

STEP 1: Compare the test statistic (1.58) to the critical values (d_L=0.8 and 2d_U=1.3).
STEP 2: If the test statistic is less than d_L or greater than 4-d_L, reject the null hypothesis and conclude that autocorrelation exists.
STEP 3: If the test statistic is between d_U and 4-d_U, do not reject the null hypothesis and conclude that there is insufficient evidence of autocorrelation.
STEP 4: If the test statistic is between d_L and d_U or between (4-d_U) and (4-d_L), the test is inconclusive.

In this case, the test statistic (1.58) is between d_L (0.8) and 2d_U (1.3).

Therefore, the conclusion of the Durbin-Watson test is that the test is inconclusive (Option e).

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Answer:

9/20

Step-by-step explanation:

I guess I was help full for u

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The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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ANSWER:

8.457%

STEP-BY-STEP EXPLANATION:

We have that the simple interest formula is like this:

Where A is the final amount, r is the annual interest rate, P is the initial principal balance and t is time in years.

We replacing and calculate for r, just like this:

Therefore, the simple annual interest rate is 8.457%

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

sqrt(-49) is not a real number

Square root of any negative number is not a real number

Answer: ready dude good luck :)

Answer:

\(\displaystyle d = \sqrt{74}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra Ii

Step-by-step explanation:

Step 1: Define

Find endpoints from graph

Point (-3, -3)

Point (4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces. The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex. All the faces, with the exception of the base, join at the apex, a vertex at the top. The base's shape is given by the apex, which is located in opposition to it. In the right pyramid, the apex is precisely over the center of the base. The center of the base will be where a perpendicular line from the apex to the base intersects.

So in the question they mentioned Altitude=10 and Base =6.

So using pythagorean theorem,

   x2=y2+(10)2-eq1

    with y half of the length of the diagonal of the base.

   2y=length of the diagnol

   and (2y)2 = 72

    ⇒4y2=72

   ∴y = 3√2.

So substitute y in eq1 and get x.

⇒ ( 3√2)2+(10)2=(x)2

⇒(x)2=118

∴x=10.86.

x≈10.9

We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

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Answer:

A: (10k+m)(10k−m)

Step-by-step explanation:

The closest that the family will come to the waterfall while on the road is 5.6 miles.

To solve this problem, we can use the law of cosines. Let x be the distance that the family travels from the point where the bearing is S71E to the point where the bearing is S35E, and let d be the distance from the family's starting point to the waterfall.
We have:
cos(71) = d/x
cos(35) = d/(x+8)
Multiplying both sides of the first equation by x and both sides of the second equation by (x+8), we get:
d = x cos(71)
d = (x+8) cos(35)
Setting the right-hand sides of these equations equal to each other and solving for x, we get:
x cos(71) = (x+8) cos(35)
x = 8 cos(35)/(cos(71)-cos(35))
Plugging this into the first equation above, we get:
d = x cos(71) = 8 cos(35) cos(71)/(cos(71)-cos(35))
This gives us the distance from the family's starting point to the waterfall. To find the closest distance that the family will come to the waterfall while on the road, we need to subtract the radius of the waterfall from this distance. Let's assume that the radius of the waterfall is 50 feet.
The closest distance that the family will come to the waterfall while on the road is:
d - 50 = 8 cos(35) cos(71)/(cos(71)-cos(35)) - 50
This is approximately equal to 5.6 miles. Therefore, the closest that the family will come to the waterfall while on the road is 5.6 miles.

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A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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