Solve the inequality for x. Be sure to show all work to receive full credit.

−3x + 5 ≤ −16

Answer:

idk

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sub (0, -1) into 4 choices, Only A, C, D work.

Sub (-2, 9) into A, C, not work.

Sub (4, 51) into D for checking, it works

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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Answer:

B or 24 mm2

Step-by-step explanation:

Just did the test :)

The area of the shaded region is 24mm^2

Step 1: Find area of the larger triangle

Here base b = 5 mm

Height h = 12 mm

Area of the larger triangle = (5*12)/2 = 60/2 = 30mm^2

Step 2: Find area of the smaller triangle

Here base b = 3 mm

Height h = 4 mm

Area of the smaller triangle = (3*4)/2 = 12/2 = 6 mm^2

Step 3: Find area of the required shaded region

Area of the required shaded region = Area of larger triangle - Area of smaller triangle

= 30 mm^2 - 6 mm^2

=24 mm^2

Hence, the area of the shaded region is 24mm^2

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1.- Get two points from the graph

Point 1= (0, 0)

Point 2 = (4, 4)

2.- Substitute the values in the Equation

slope = m = (y2 - y1) / (x2 - x1)

m = (4 - 0) / (4 - 0)

m = 4/ 4

m = 1

3.- Result

The slope of

the line is 1

Ended up getting the answer wrong because the other person this is the correct answer.

(8,2)

Enjoy and Happy Holidays :)

The image of (2,8) after a reflection over the line y = x is (8, 2).

The given coordinate is (2, 8).

Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.

Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).

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Answer:

8.5

Step-by-step explanation:

slope of the line that contains KL

(y2 - y1)/(x2-x1)

(0-1)/(7-3)

m = -1/4

slope of the line that contains JK

(5-1)/(4-3)

m = 4

the linea are perpendicular so triangle is right

area = (leg1 x leg2)/2

KL = \(\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}\)

KJ = \(\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}\)

area = (√17)^2/2 = 17/2 = 8.5

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

To find the points at which the tangent line is horizontal, it is enough to find where the slope of the function is 0 because a horizontal line's slope is 0.

Find f'(x).

Now set it equal to 0 and solve for x to find the x values at which the tangent line is horizontal to given function.

Find the function values at these x-values.

The points where the graph of the function have horizontal tangents are

Option A is correct.

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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hi

5(x+4) =1/2 *(12)* (2X-6)

5x+20 =  6 * ( 2x-6)

5x+20 = 12x-36

5x-12x = -36-20

-7x =  -56

  x = -56/-7

 x = 8

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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El área del rectángulo cuya base mide 10 metros y altura de 15 metros es de 150 metros cuadrados.

Para calcular el área de un rectángulo, multiplicamos la longitud de la base por la altura. En este caso, la base del rectángulo es de 10 metros y su altura es de 15 metros.

Área del rectángulo = Base × Altura

Sustituyendo los valores:

Área del rectángulo = 10 m × 15 m

Área del rectángulo = 150 m²

Por lo tanto, el área del rectángulo cuya base mide 10 metros y altura de 15 metros es de 150 metros cuadrados.

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Answer:

636.3 cubic meters

Step-by-step explanation:

Volume of cylinder= pi × radius² × height

3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3

Have a nice day.

Answer: A.  \(3x^{12} - 2x + x^5\)

Step-by-step explanation:

A. \(3x^{12} - 2x + x^5\)

Here, highest exponent = 12

Degree of polynomial =12

B. 8x-200

Here, highest exponent = 1

Degree of polynomial =1

C. \(15x^3 + 3x^2 - 10\)

Here, highest exponent = 3

Degree of polynomial =3

D. \(150x^3\)

Here, highest exponent = 3

Degree of polynomial =3

Option A. has the polynomial with the highest degree as 12.

Answer:

A. 3x12 - 2x + x5

Step-by-step explanation:

Hope this helps

Answer:

Its D

Step-by-step explanation:

Answer:

i think D

Step-by-step explanation:

Answer:

60:61.8 OR 10:10.3

Step-by-step explanation:

Cant be simplified - unless your in advanced classes. If so

10:10.3

Answer:

Step-by-step explanation:

1/3 or 0.3 or 33.333333% or 3^-1 or 3.333333 x 10^-1

Answer:

The equation relating x and y is: y=4x

Step-by-step explanation:

Let x represent number of tickets

and y represent cost

a) Plot the ordered pairs

The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.

b)  Write an equation relating x and y

y= 4x

Now checking by putting values of x to see, if we get values of y

if x=1,  then y=4x => y=4*1 =>y=4

if x=2 then y=4x => y=4*2 =>y=8

if x=3 then y=4x => y=4*3 =>y=12

So, we get same values as table.

The equation relating x and y is: y=4x

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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The total cost to be in the team will be $1192. He must earn an average of $119.2 per week for 10 weeks. If Ralph is paid at a flat rate of exactly q dollars each week, so the standard deviation will $0.

Total cost is the sum of all expenditures made to produce a certain level of output; when this total cost is divided by the quantity produced, average or unit cost is discovered. The sum of the fixed and variable costs is the total cost. For instance, if a company has a fixed cost per unit of $30 and a variable cost per unit of $5 that increases as output increases, the total cost will be $35. Total cost is equal to the sum of all fixed and variable costs. Total Cost = (Average Fixed Cost + Average Variable Cost) x Number of Units is another way to express it. All of this had to do with the total cost formula, which is a crucial idea for figuring out the total cost of production.

Here,

The expenses of team is,

Uniform=$67.00

Registration=$50.00

Tournaments=$775.00

Travel =$300.00

Total cost=sum of all expense

=67+50+775+300

=$1192

Average cost=Total cost/number of weeks he worked

=1192/10

=$119.2

Deviation of distribution cost,

If Ralph is paid at a flat rate of exactly q dollars each week then there will be $0 deviation.

It will cost $1192 in total to join the team. For ten weeks, he must make an average of $119.2 per week. If Ralph receives a fixed weekly salary of exactly q dollars, the standard deviation will be zero.

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Answer:

(A) 2/3 [√(4-4x)]^3

(B) 2/3 [√(4-x)]^3

Step-by-step explanation:

Integrating the functions,

(A) Any function in square root is equal to or same as the function raised to the power of 1/2

To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2

Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.

Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.

Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3

So the integral of Y = √[4-4x] is

2/3 [√(4-4x)]^3

(B) In like manner, the integral of

Y = √[4-x] is

2/3 [(√4-x)]^3