Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

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Answer:94m/s

Step-by-step explanation:

Using the formula:

v=u+at

Where v= final velocity (the unknown)

u= initial velocity (4m/s)

a= acceleration (3m/s)

t= time (30seconds)

v=4+(3*30)

= 4+90

= 94m/s

Answer:

The set of all pages in the book:

S={1, 2, 3, ..., 428}

Step-by-step explanation:

The sample space is the set containing all possible outcomes for the experiment. In this problem, the experiment is stopping at a random page of the textbook, and the sample space is the set of all pages in the book:

S={1, 2, 3, ..., 428}.

Answer:

s

Step-by-step explanation:

Answer:

length times width so.... 24

Answer:

[tex]y=\frac{1}{3} x+4[/tex]

Step-by-step explanation:

A linear equation is written as [tex]y=mx+b[/tex], "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

y = 1/3x + 4

Step-by-step explanation:

y = ax + b

b = the intercept with the y-as.

In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).

So, b = 4

a = slope or incline.

To easilly find "a", you can follow these steps:

1. You choose two "nice" poins.

2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.

3. The fraction a = y units/x units

1. Choose two nice point

Starting from (0,4) and going to the next "nice" point for example (3, 5).

2. Horizontal 3 units to the right, and 1 unit up.

3. a = y units/x units

a = 1/3

y = 1/3x + 4

How to solve this:

1:     7200/24 = x/1

2:    7200/24 = 300/1

3:     300 L of blood per hour

We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1  

Second step is the same 7200 divided by 24 = 300/1

So the correct answer is 300. 300 L of blood per hour.

Answer: 300 L of blood per hour.

Please mark me brainliest.

Hope this helps.

The rate of change in the volume of blood is 300 liters per hour.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.

Rate of change of volume of blood = volume of blood/time

= 7200 L /24

Apply the division operation, and we get

= 300 L/hour

The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.

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Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

B, C

B, T

C, B

C, C

C, T

T, B

T, C

T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.  

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]x+3[/tex]

[tex]7(x+3)[/tex]

Expand the brackets.

[tex]7x+21[/tex]

Answer:

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

If the police can discredit the police department, 15% probability of a guilty verdict.

70% probability of the police department being discredited by the defense.

If the police can discredit the police department, 80% probability of a guilty verdict.

100 - 70 = 30% probability of the defense not discrediting the police.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

p = 0.15*0.7 + 0.8*0.3 = 0.345

34.5% probability that the jury returns a guilty verdict

Answer:

a = 0

Step-by-step explanation:

=> 3(a+4)-5(a-2) = 22

Opening Brackets

=> 3a+12-5a+10 = 22

=> 3a-5a+12+10 = 22

=> -2a+22 = 22

Subtracting 22 to both sides

=> -2a = 0

Dividing both sides by -2

We get,

=> a = 0

Answer:

a = 0

Step-by-step explanation:

3(a+4)-5(a-2)=22

3a+12-5a+10=22

-2a+22=22

Subtract 22 from both sides

-2a=0

Multiply both sides by -1

2a= -0

2a=0

Divide both sides by 2

a=0

Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.

[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]

Answer:

See explanation

Step-by-step explanation:

During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!

Answer:

£ 35

Step-by-step explanation:

Ratio = 6 : 1

Gordon's share = 6x

Malachy's share = x

6x - x = 25

5x = 25

x = 25/5

x = 5

Gordon's share = 6x = 6*5 = 30

Malachy's share = x = 5

Total money they get = 30 + 5 = £35

Answer:

B and C

Step-by-step explanation:

A. y + 11 = 22         →  subtract 11 from both sides:

    y = 11

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

B. 8 = 18 - y           →  subtract 18 from both sides:

    -10 = -y              →  divide both sides by -1:

     10 = y

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

C. 60 = 6y             →  divide both sides by 6:

    10 = y

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

D. [tex]\frac{y}{5}[/tex] = 4                  →  multiply both sides by 5:

   y = 20

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

E. 10y = 20            →  divide both sides by 10:

     y = 2

Find attached to this answer, the appropriate diagram that would help us better understand the question

Answer:

10779 feet

Step-by-step explanation:

We would be using the Trigonometric function called Tangent to solve this question.

tan θ = Opposite side / Adjacent side

From the attached diagram,

θ = 33°

Opposite side = 7000 feet

Adjacent side = the distance of bird (B) from the plane (P) = unknown

tan 33° = 7000 feet / Adjacent side

Cross multiply

tan 33° × Adjacent side = 7000 feet

divide both sides by tan 33°

Adjacent side = 7000 feet / tan 33°

Adjacent side = 10779.054747 feet.

Approximately = 10779 feet.

Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.

The equivalent expression for the given expression is 60mn.

The given expression is 3×4×5×m×n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, 3×4×5×m×n = 60mn

Therefore, the equivalent expression for the given expression is 60mn.

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Answer:

21/100

Step-by-step explanation:

there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.

Answer:

False

Step-by-step explanation:

Flip the equation.

−a<2

Divide both sides by -1.

a>−2

Answer: the rotational speed would be greater during a storm

Step-by-step explanation:

Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).

Answer:

4+x

Step-by-step explanation:

you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Step-by-step explanation:

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

Answer:

3 units

Answer:

Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².

Answer:

(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)

MARCI SHOULD WIN

AREA OF MUSEUM > AREA OF SCHOOL

Step-by-step explanation:

Find the area of School in Grid squares:

Area of School = 20 Grid squares*10*10

Area of School = 2000 m²

Find the area of Museum in Grid squares:

[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]

Area of Museum = 9п grid squares

Area of Museum = 2826 m²

AREA OF MUSEUM > AREA OF SCHOOL

Answer:

C

Step-by-step explanation:

how to find the correct one?

just see on the x² constant number. it's -5 so

from ABCD the only option give -5 is C

A. (-2)(-2) + (-1)(-1) = 5

B. (-2)(-2) + (1)(1) = 5

C. (2)(-2) + (-1)(1) = -5

D. (-2)(2) + (-1)(-1) = -3

Answer:

CF = 12

Step-by-step explanation:

∠ CDF = ∠ ABD = 45° ( alternate angles )

Using the sine ratio in right triangle CDF and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CF}{CD}[/tex] = [tex]\frac{CF}{12\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] CF = 12[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

CF = 12

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

Answer:

295.2

Step-by-step explanation:

Got it right on the test. Your welcome and have a great day and God bless you all.

Answer: 0.6763 cm∧2

Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.

The sample variance would be calculated as follows:

Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)

Mean: Sum of samples / population size ;

(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67

Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2

Answer:

0.46 newtons

Step-by-step explanation:

For these kinds of problems, you can employ the formula

[tex]E=\dfrac{F}{q}[/tex]

where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:

[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]

[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)

Hope this helps!

Answer:

your answer is 1.50 E4 N/C

Step-by-step explanation:

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Answer:

B.)

Step-by-step explanation:

Took test