Use the drawing tools to form the correct answer on the number line. Graph the solution to this inequality on the number line. 0.3(x-4) > -0.3 Drawing Tools Click on a tool to begin drawing. Select Point Open Point Ray ←+++ -4 -3 -2 -1 0 1 2 3 Reset 0 4 5 6 7 Next 20 Undo Reset 8 9 10 11 12 13 14 15 16 C- Use the drawing tools to form the correct answer on the number line . Graph the solution to this inequality on the number line . 0.3 ( x - 4 ) > -0.3 Drawing Tools Click on a tool to begin drawing . Select Point Open Point Ray ← +++ -4 -3 -2 -1 0 1 2 3 Reset 0 4 5 6 7 Next 20 Undo Reset 8 9 10 11 12 13 14 15 16 C​

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Points we are interested in given:

Points C and D have 2 possible places

1. To the left from A and B on the grid. They will have coordinates:

2. To the right from A and B on the grid. They will have coordinates:

Correct answer choice reflecting these coordinates is the last one which reflects the second option

Also see attached

Answer:

The answer is C!

Explanation:

I just took the test! :)

Answer:

a movie about a asian kid and a old man who take a ballon house to the sky. Step-by-step explanation:

To change from rectangular to cylindrical coordinates, we use the following formulas: r = √(x²+ y²) and theta = arctan(y/x). For part (a), the coordinates are (-8, 8, 8). Using the formulas, we get r = √((-8)² + 8²) = 8√(2) and theta = arctan(8/-8) + pi = -3pi/4. Therefore, the cylindrical coordinates are (8√(2), -3π/4, 8). For part (b), the coordinates are (-4, 4√(3), 9). Using the formulas, we get r = √((-4)²+ (4sqrt(3))²) = 8 and theta = arctan(4√(3)/-4) + π = -π/3. Therefore, the cylindrical coordinates are (8, -π/3, 9).

Rectangular coordinates are used to represent a point in three-dimensional space as an ordered triplet (x,y,z). However, cylindrical coordinates are an alternative way to represent this point using the distance r from the origin to the point in the xy-plane, the angle theta between the positive x-axis and the projection of the point onto the xy-plane, and the height z of the point above the xy-plane. The formulas for converting between rectangular and cylindrical coordinates involve using trigonometric functions.

Changing from rectangular to cylindrical coordinates involves using the formulas r = √(x²+ y²) and theta = arctan(y/x) to find the distance from the origin to the point in the xy-plane and the angle between the positive x-axis and the projection of the point onto the xy-plane, respectively. The height of the point above the xy-plane remains the same.

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Answer:

125/8

is the final answer

Step-by-step explanation:

1.transform the expression

2.calculate

3.(final answer)

Answer:

I Believe the answer is either 3 5/8 or 29/8

Step-by-step explanation:

You have to find the most common denominator which for 1/2 and 1/8 is 8 and then you would do 1/2 1*3 and 2*4 to get 4/8 add them together for 5/8 then would would either add 24/8 to equal the 3 or you would leave the three by itself (depends on what your teacher says for simplification)

As for defining simplification it is solving the problem best you can with the information you are given.

Answer:

12.9 or 12 9/10

The answer is that the mathematician solved 2k problems on the day he drank coffee.

Let's assume that the mathematician works for x hours a day and can solve y problems per hour. Also, the mathematician drinks some coffee and discovers that he can now solve z problems per hour. So, the mathematician works for n hours that day. We are given that:x*y = number of problems solved in a dayz * n = number of problems solved on the day he drank coffee

Then, we can write the equations:x*y = n * 2*z (he still solves twice as many problems as he would in a normal day)andx = n (he only works for n hours that day)Now, we need to simplify these equations to solve for the number of problems solved on the day he drank coffee. Here is how to do it:$$x*y = n * 2*z$$$$\frac{x*y}{x} = \frac{2*n*z}{x}$$$$y = 2 * \frac{n*z}{x}$$Since x, y, n, and z are all positive integers, we can say that the expression 2*n*z/x is also a positive integer. Therefore, we can write:$$\frac{2*n*z}{x} = k$$$$y = 2k$$where k is a positive integer.

Finally, the number of problems solved on the day he drank coffee is:y = 2k Therefore, the answer is that the mathematician solved 2k problems on the day he drank coffee.

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Answer:

A C A

Step-by-step explanation:

The value of the missing measure is 1/4 ft.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The original sides = 1/3 ft

The corresponding sides on the enlarged parallelogram = 8 ft

This means,

The scale factor is 24.

i.e

1/3 x 24 = 8

Now,

The original sides = x ft

The corresponding sides on the enlarged parallelogram = 6 ft

This means,

(x) x 24 = 6

x = 6/24

x = 1/4

Thus,

The value of the missing measure is 1/4 ft.

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Answer:

6

hope this helps! :)

the number that is not in the solution set of x + 8 > 15 is 6

The transformation x-Ax can be decomposed into a rotation and scaling if and only if A is symmetric.

If A is symmetric, then its eigenvalues will be real and its eigenvectors will be orthogonal. The scaling factor is determined by the magnitude of the eigenvalues, and the rotation angle is determined by the angle between the eigenvectors. However, without knowing the matrix A, I cannot determine the values for these.

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Answer:

yes

0.125 = 0.125

Step-by-step explanation:

1/2^3 = 0.125

2^-3 = 0.125

Lynn used \(47.826\) gallons fuel in each month.

Average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Gallon is the unit for measuring liquids (fuel).

Mile is a unit of large distance.

Given,

Lynn drive her car for work an average of \(1100\) miles

Car get \(23\) miles per gallon.

It's mean car covers \(23\) miles distance in \(1\) gallon of fuel.

She used fuel in each month

\(=\frac{Total miles}{miles per gallon} \\=\frac{1100}{23}\\ =47.8260 gallon\)

Lynn used \(47.826\) gallons fuel in each month.

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a) Yes, X is a binοmial randοm variable because the prοbability οf success (receiving a free mοnth οf service) is cοnstant fοr each trial and equal tο 1/8.

b) is 0.66.

c) P(X 3) = 0.053.

The likelihοοd οr chance that a specific event οr οutcοme will οccur is knοwn as the prοbability οf success. A "success" in prοbability theοry and statistics οften refers tο the οccurrence οf an event οf interest, like tοssing a cοin and getting heads οr rοlling a six οn the die.

Accοrding tο the given infοrmatiοn:

Part A:

Yes, X is a binοmial randοm variable because the fοllοwing cοnditiοns are met:

The trials are independent, as the οutcοme οf οne purchase dοes nοt affect the οutcοme οf anοther purchase.

There are a fixed number οf trials, in this case, nine custοmers purchasing cell phοne plans.

Each trial has twο pοssible οutcοmes, either the custοmer receives a free mοnth οf service οr they dο nοt.

The prοbability οf success (receiving a free mοnth οf service) is cοnstant fοr each trial and equal tο 1/8.

Part B:

The mean οf X is given by μ = np, where n is the number οf trials and p is the prοbability οf success. In this case, n = 9 and p = 1/8, sο μ = 9 × 1/8 = 1.125. This means that, οn average, οne custοmer οut οf the nine will receive a free mοnth οf service.

The standard deviatiοn οf X is given by σ = √(np(1-p)). Plugging in the values οf n and p, we get σ = √(9 × 1/8 × 7/8) = 0.66. This means that the spread οf the distributiοn is relatively small, and we can expect mοst οf the values οf X tο be within οne standard deviatiοn οf the mean.

Part C:

Using the binοmial distributiοn fοrmula, P(X ≥ 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)].

P(X = k) = (n choose k) * \(\rm p^k \times (1-p)^{(n-k)}\), where (n choose k) is the binomial coefficient.

Plugging in the values of n = 9, p = 1/8, and k = 0, 1, 2, we get:

P(X = 0) = (9 choose 0) * (1/8)⁰ * (7/8)⁹ = 0.389

P(X = 1) = (9 choose 1) * (1/8)¹ * (7/8)⁸ = 0.383

P(X = 2) = (9 choose 2) * (1/8)² * (7/8)⁷ = 0.175

Therefore, P(X ≥ 3) = 1 - (0.389 + 0.383 + 0.175) = 0.053.

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This means that on average, one out of every 1.125 customers will receive a free month of service.

What is binomial?

Binomial refers to a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials.

Part A:

Yes, X is a binomial random variable because:

The trials are independent, meaning that the outcome of one trial does not affect the outcome of another trial.

Each trial has only two possible outcomes: either the customer receives a free month or not.

The probability of success (getting a free month) is the same for each trial.

The number of trials (nine customers) is fixed in advance.

Part B:

The mean of X is E(X) = np = (9)(1/8) = 1.125. This means that on average, one out of every 1.125 customers will receive a free month of service.

The standard deviation of X is σ = sqrt(np(1-p)) = sqrt((9)(1/8)(7/8)) = 0.96. This tells us how spread out the distribution of X is. In this case, the standard deviation is relatively small, which suggests that the distribution is not very spread out and most values of X are close to the mean.

Part C:

The store's claim is that one in eight customers will receive a free month of service. Let p be the probability of a customer receiving a free month. We know from the claim that p = 1/8.

We want to calculate the probability of at least three customers receiving a free month of service. P(X ≥ 3) can be calculated using the binomial distribution formula:

P(X ≥ 3) = 1 - P(X < 3)

= 1 - [P(X = 0) + P(X = 1) + P(X = 2)]

= 1 - [(9 choose 0)(1/8)^0(7/8)^9 + (9 choose 1)(1/8)^1(7/8)^8 + (9 choose 2)(1/8)^2(7/8)^7]

≈ 0.229

Since P(X ≥ 3) is relatively high, it is plausible that the claim is accurate. However, we cannot be absolutely certain because the observed value of X (three customers receiving a free month) is not very unlikely under the null hypothesis of p = 1/8.

If the store had claimed that only one in ten customers would receive a free month, for example, then the observed value of X would be much more surprising and we could more confidently reject the null hypothesis.

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Answer:

-/x/ = -3 (Sorry I couldn't put the lines)

Step-by-step explanation:

Negative and a negative = a positive

I hope this helps you :)

A shape that has all sides equal and all angles right angles is called a square.

In a square, all four sides are congruent (equal in length) and all four angles are right angles (90 degrees).

A square is also a special case of a rectangle, which is a four-sided polygon with opposite sides parallel and equal in length. In rectangle, all angles are right angles (90 degrees).

A square is also special case of a rhombus, which is a four-sided polygon with opposite sides parallel and equal in length, but all angles are not necessarily right angles.

A square is also special case of a parallelogram, which is a four-sided polygon with opposite sides parallel and equal in length, but all angles are not necessarily right angles.

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The volume of the solid obtained by rotating the region bounded by the curves y = 2x² and y = 12x - 4x² about the x-axis is 16π cubic units.

To use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y = 2x² and y = 12x - 4x² about the x-axis, we first need to determine the limits of integration.

Since we are rotating about the x-axis, the cylindrical shells will be perpendicular to the x-axis. Let's consider a vertical strip of width dx at a distance x from the y-axis. The radius of this cylindrical shell will be x, and its height will be the difference between the two functions at x, i.e., (12x - 4x²) - 2x² = 12x - 6x².

Thus, the volume of the cylindrical shell will be:

dV = 2πx(12x - 6x²) dx

Integrating both sides with respect to x, we get:

V = ∫(2πx)(12x - 6x²) dx

V = 2π∫(12x² - 6x³) dx

V = 2π[4x³ - (3/2)x⁴] limits from x=0 to x=2

V = 2π[(4(2)³ - (3/2)(2)⁴) - 0)]

V = 2π[(32 - 24)]

V = 2π(8)

V = 16π

Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = 2x² and y = 12x - 4x² about the x-axis is 16π cubic units.

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Answer:

-500

Step-by-step explanation:

Using the order of operations, you first multiply the 15 by 34, to get 510. This turns the equation to 2+8-510, which can be simplified to 10-510. This equals 500.

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

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

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

To determine the correct system of equations shown on the graph,

Substitute the coordinates into the slope formula:

\(\text{Slope of blue line} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(\text{Slope of blue line} = \dfrac{4 - 5}{3 - 0}\)

Simplify the expression as needed:

\(\text{Slope of blue line} = \dfrac{-1}{3}\)

Therefore, the slope of the blue line is -1/3.

The point of the blue line that is intersecting the y-axis is (0, 5).

Therefore, the y-intercept of the blue line is 5.

Slope intercept form: y = mx + b

[Where "m" is the slope and "b" is the y-intercept]

⇒ \(y = (m)x + (b)\)

⇒ \(y = (\frac{-1}{3} )x + (5)\)

⇒ \(y = \frac{-1}{3}x + 5\)

Therefore, the equation of the blue line is y = -1/3x + 5

Choosing any two points on the red line:

Substitute the coordinates into the slope formula:

\(\text{Slope of red line} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(\text{Slope of red line} = \dfrac{0 - (-2)}{1 - 0}\)

Simplify the expression as needed:

\(\text{Slope of red line} = \dfrac{2}{1} = 2\)

Therefore, the slope of the red line is 2.

The point of the red line that is intersecting the y-axis is (0, -2).

Therefore, the y-intercept of the red line is -2.

Slope intercept form: y = mx + b

[Where "m" is the slope and "b" is the y-intercept]

⇒ \(y = (m)x + (b)\)

⇒ \(y = (2 )x + (-2)\)

⇒ \(y = 2x - 2\)

Therefore, the equation of the red line is y = 2x - 2

y = 2x - 2 and y = -1/3x + 5 ======> Option A

The appropriate domain of the function, using h to represent time, is [0, ∞) or h ≥ 0, since Jevonne's distance from home can never be negative.

Since Jevonne's distance from home can never be negative, the domain of the function is restricted to non-negative values of h. Therefore, an appropriate domain of the function, using h to represent time, is:

h ≥ 0

Inequality notation can be used to express this domain as:

[0, ∞)

This means that h can take any non-negative value, including zero (which corresponds to the starting point of Jevonne's journey), and can increase without bound as Jevonne continues to drive further away from home.

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Answer:

120.8°

Step-by-step explanation:

the total angle sum is of 360 so we add and subtract

35.8+25.4+178= 239.2

360-239.2= 120.8

so the missing angle measure is 120.8°

Answer:

72, 216 , 252

Step-by-step explanation:

Deje que lo que ella leyó inicialmente sea x páginas.

La segunda semana leyó 3 veces esto = 3 * x = 3x.

La tercera semana leyó 5 veces la primera semana menos 108 = 5x-108.

Así que agreguemos todos juntos para obtener x. 3x + x + 5x-108 = 540.

9x = 540 + 108 9x = 648 x = 648/9 = 72 páginas.

Leyó 72 páginas la primera semana.

Ella leyó 3 * 72 en la segunda semana = 216 páginas En la tercera semana leyó 5 (72) -108 = 360-108 = 252 páginas

Answer:

$11,990

Step-by-step explanation:

$110x$109

correct me if im wrong :)

Answer:

(5, -2)

Step-by-step explanation:

Let's solve the first equation for x:  If x + y = 3, and if we subtract y from both sides, we get x = 3 - y.  Next, substitute 3 - y for x in the second equation:

3(3 - y) + 2y = 11, or

9 - 3y + 2y = 11

Combining like terms:  -3y + 2y = 11 - 9, or

-y = 2, or y = -2.

Then, from the equation x = 3 - y, which we found earlier,

x = 3 - (-2) = 5

Then the solution is (5, -2)

The inequality a^n ≥ b^n reduces to 1 ≥ 1, which is true. Hence, the proposition P(0) is true.

To show that the proposition P(4) is true, where P(n) is "If n>4, then n^2>n", we can use a direct proof.

Direct proof:

Assume n>4. Then, we can write n as n = 4 + k, where k is a positive integer. Substituting this into the inequality n^2 > n, we get:

(4 + k)^2 > 4 + k

Expanding the left-hand side, we get:

16 + 8k + k^2 > 4 + k

Simplifying, we get:

k^2 + 7k + 12 > 0

This inequality is true for all positive values of k, which means that n^2 > n holds for all n > 4. Therefore, the proposition P(4) is true.

To show that P(0) is true, where P(n) is "If a and b are positive integers with a≥b, then a^n≥b^n," we can use a trivial proof.

Trivial proof:

When n = 0, we have a^0 = b^0 = 1 for any positive integers a and b. Therefore, the inequality a^n ≥ b^n reduces to 1 ≥ 1, which is true. Hence, the proposition P(0) is true.

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Answer:

standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.

y = 3x

Answer:

40 gallons :)

Step-by-step explanation:

Hope this helps !

____________________

It appears more like a blue pen, and since white skin gets redder when its pressed down it looks like a demon just smacked your arm. It will heal, but since I think its blue pen just wash it off. The diamond is a bad shape, its fliped in an angle. Besides that, hope that helps.

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

Whether the population standard deviation is known or unknown affects the expression used for the interval estimate. Hence, option c. is the right response.

The expression used to compute an interval estimate of a population parameter (such as the mean) depends on the sample size, whether there is sampling error, and whether the population has an approximately normal distribution.

However, whether the population standard deviation is known or unknown also affects the expression used for the interval estimate.

If the population standard deviation is known, a z-score can be used in the calculation, whereas if it is unknown, a t-score is used and the sample standard deviation is used as an estimate for the population standard deviation. Therefore, c is the factor that does affect the expression used for the interval estimate.

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Answer:

D

Step-by-step explanation:

Sin (67) = x/29

multiply both sides by 29

29 x Sin (67) = x

29 x Sin (67) = 26.69

Mark brainliest please