solve: -3 |x-3| = -6 ​

Answer:

12

Step-by-step explanation:

Given:

3 bags of each color band

4 kits

To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.

Find the greatest common factor of 3 and 4:

factors of 3 = 1,3,6,9,12,15,18,21,24....

factors of 4 = 1,2,4,8,12,16,20,24...

How many bands are in each kit?​

12 or any other number that is a factor of both 3 and 4 such as 24,..etc.

The  slope-intercept form  is  y = -1/3x +7 .

What is an explanation of the slope-intercept form?

The standard form equation can be found by using the given point values in the given equation to find the new constant.

 x +3y = (6) +3(5) = 21

Solving for y puts this equation into slope-intercept form.

 3y = -x +21 . . . . . . . subtract x

 y = -1/3x +7 . . . . . . divide by 3.

This is slope-intercept form.

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Answer:

Step-by-step explanation:

803.8 in

Answer:

Step-by-step explanation:

A charge of 5C

is placed at the curve of a spherical gaussian of radius 5cm

the electric flux through the surface is 1ε0

Answer: 100001

Step-by-step explanation: The trick for binary is that it only uses 1 & 0 for its number system. It goes by a system where you take 1 and multiply by 2, then you multiply 2 by 2, and so forth. So 33 has one 32, and one 1.

A distribution of scores on a driver's license test forms is normally shaped. This is an example of a symmetrical distribution is TRUE.

A symmetrical distribution is a distribution where there is an equal number of data points on both sides of the center point, in which the mean, mode, and median of a data set are all similar.

A normal distribution is a bell-shaped distribution that is symmetrical, with most of the data falling near the mean and progressively less toward the tails. When data are symmetrical, the mean and median values are similar, and the standard deviation can be used to compute the proportions of data within a range of values surrounding the mean.

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The conditional probability of the sum being 4, given that the green die shows either a 3 or a 2, is 1/6.

To find the conditional probability of the sum being 4, given that the green die is either 3 or 2, we need to use the formula:

P(A|B) = P(A and B) / P(B)

where A is the event of getting a sum of 4 and B is the event of getting either a 3 or 2 on the green die.

First, let's calculate the probability of getting a 3 or 2 on the green die:

P(B) = 1/3 + 1/3 = 2/3

since there are 3 possible outcomes for each die and the green die can either be 3 or 2.

Next, we need to calculate the probability of getting a sum of 4 and a green die of either 3 or 2:

P(A and B) = 2/36

since there are only 2 ways to get a sum of 4 with a green die of either 3 or 2: (1,3) and (2,2).

Now we can plug in the values into the formula:

P(A|B) = (2/36) / (2/3) = 1/18

Therefore, the conditional probability of getting a sum of 4, given that the green die is either 3 or 2, is 1/18.
To find the conditional probability of the indicated event, we'll use the formula:

P(A / B) = P(A / B) / P(B)

Here, event A is the sum of the numbers on the two dice being 4, and event B is the green die showing either a 3 or a 2.

First, let's find P(B). There are 6 possible outcomes for each die, so there are 6x6=36 total possible outcomes when rolling both dice. There are 2 favorable outcomes for event B: the green die showing a 3 or a 2. Therefore, P(B) = 2/6 = 1/3.

Now, let's find P(A / B). This is the probability of both events A and B happening at the same time. For the sum to be 4 and the green die to show a 2, the red die must show a 2. For the sum to be 4 and the green die to show a 3, the red die must show a 1. There are 2 favorable outcomes for P(A /B) out of the 36 possible outcomes. Therefore, P(A ∩ B) = 2/36 = 1/18.

Finally, we can find the conditional probability P(A | B) using the formula:

P(A / B) = P(A / B) / P(B) = (1/18) / (1/3) = (1/18) * (3/1) = 3/18 = 1/6.

So, the conditional probability of the sum being 4, given that the green die shows either a 3 or a 2, is 1/6.

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Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

The solution of the equation is x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\).

Now, According to the question:

What is Quadratic Equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

The given equation is :

40x² = 30

40x² - 30 =0

Common factor:

10(4x²- 3) = 0

Divide both sides by the same factor

10(4x²- 3) = 0

4x²- 3 = 0

Use the quadratic formula:

x = -b±\(\sqrt{b^2-4ac}\)/ 2a

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula:

4x²- 3 = 0

a = 4

b = 0

c = -3

x =  -0±\(\sqrt{0^2-4(4)(-3)}\)/ 2(4)

By simplify:

x = ±\(\frac{4\sqrt{3} }{8}\)

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = \(\frac{4\sqrt{3} }{8}\)

x = -\(\frac{4\sqrt{3} }{8}\)

Rearrange and isolate the variable to find each solution

x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\)

Hence, The solution of the equation is x = \(\frac{\sqrt{3} }{2}\) and - \(\frac{\sqrt{3} }{2}\).

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Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

The approximate air pressure at the center of a hurricane is 910 millibars.

Given,

The mean sustained wind velocity equation, v = 6.3 × √(1013 - p)

p is the air pressure in millibars

The mean sustained wind velocity - 64 meters per second.

We have to find the approximate air pressure.

Here,

The equation for wind velocity ;

v = 6.3 × √(1013 - p)

v is given 64

Then substitute;

64 = 6.3 × √1013 - p

64/6.3 = √1013 - p

10.16 = √1013 - p

Square both sides

(10.16)² = (√1013 - p)²

We get,

103.23 = 1013 - p

p = 1013 - 103.33 = 909.67 ≈ 910 millibars

That is,

The approximate air pressure at the center of a hurricane is 910 millibars.

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Answer:

$18.5

Step-by-step explanation:

6 divided by 3 = 2

27 divided by 2 = 18.5

Answer:

exact form: 17/10

decimal form: 1.7

mixed number form: 1  7/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividend = 24x³ - 14x² + 20x + 6

Beginning with the production of CSF in the lateral ventricles, the CSF moves into the third ventricle via the intraventricular foramen.

Cerebrospinal fluid is a white, transparent fluid that is filled in the cavity of brain and spinal cord.

The flow of CSF starts from choroid plexus, then it flows to the lateral ventricle, and to the interventricular foramen of Monro, the third ventricle.

Thus, the correct option is D, the CSF moves into the third ventricle via the intraventricular foramen.

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To ensure the preservation of the clinical specimen for viral isolation, it should be stored at a specific temperature. The recommended temperature for storing the specimen is generally between 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit).

Storing the clinical specimen in viral transport medium at a temperature range of 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit) is commonly advised for preserving the viability of the virus. This temperature range helps to slow down the viral activity and prevents the specimen from deteriorating while awaiting processing. It provides an environment that can maintain the integrity of the viral particles until laboratory procedures can be carried out the following week. It's important to follow the recommended storage temperature to ensure accurate results and successful viral isolation from the specimen.

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The required ratio of the number of boy to the number of girl is 3/4.

A ratio is a method for showing a relationship or look at two quantities of a similar kind. We use proportions to think about things of a similar kind. For instance, we might utilize a proportion to contrast the quantity of young men with the quantity of young ladies in your study hall.

Let us consider number of boys is x and that of girls is y.

x + y = 70 ------------------------(1)

And

y = x + 10

Put the value of y in eq(1),we get

x + x + 10 = 70

2x = 60

x = 30

So, the number of boys are 30, then girls are 30 + 10 = 40

Now, the ratio of the number of boy to the number of girl is

x/y = 30/40 = 3/4

Thus, ratio is 3/4.

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Answer:

x = 55

Step-by-step explanation:

61+3×X=226

61+3x=226-61

3x=165

x= 165/3

x= 55

Amy's mistake was she took the angles as alternate interior angles, rather they form supplementary angles. The measure of both angles are  118 and 62.

The alternate interior angles theorem states that if a transversal connects two parallel lines, the alternate interior angles are identical in size. If we know the measure of the corresponding alternate interior angle, we may use this theorem to determine the measure of the alternate interior angle.

As per the given question,

both angles are not alternate interior angles,

rather both of the angles are supplementary angles.

This means that both form the sum of 180

⇒ 3n - 47 + n + 7 = 180

⇒ 4n - 40 = 180

⇒ 4n = 220

⇒ n = 55

∴ The measure of both angles will be 3n - 47 = 118 and n + 7 = 62

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Answer:

Side length of AC = 4.6

Step-by-step explanation:

sin (33°) = 2.5 / AC

AC = 25 / sin (33°)

AC = 4.59

Final answer of AC rounded to the nearest tenths is , AC = 4.6

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

9(x-4)-5x=

open brackets

9x-36-5x=0

relate with similar expressions

note,when negative crosses the equal sign,it becomes positive

9x-5x=36

4x=36

x=9

Answer:

36.87( round if needed(

Step-by-step explanation:

we know a side adjacent to the angle and opposite of the angle so we apply tangent function

\( \tan(x) = \frac{3}{4} \)

\( \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87\)

Round if neededd

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

\(\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages\)

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

\(\begin{gathered} \boxed{ \sf\frac{1}{8} + \frac{4}{6} }= \\ \\ \boxed{ \sf\frac{24 \div 8 \times 1 + 24 \div 6 \times 4}{24}} = \\ \\ \boxed{\ \sf \frac{3 +16 }{24} }= \\ \\ \boxed{ \sf \frac{19}{24} }\end{gathered}\)Explanation:

Heterogeneous fractions are fractions that have different denominators.

To add heterogeneous fractions, we must first find the common denominator. This is the least common multiple (LCM) of the denominators.

Then, we must multiply the common denominator by the original denominator and multiply by the numerator.

Then, we write as numerators the results obtained previously with the sign of the sum between them.

Finally, we add the numerators and simplify the result if possible.

Answer:

19/24

Step-by-step explanation:

(1/8) + (4/6)

To add fractions, the denominators must be equal. To achieve this, we can multiply the numerator and denominator by a number for each fraction for each fraction's denominator to match.

1/8 = 1/8 * 3/3 = 3/24

4/6 = 4/6 * 4/4 = 16/24

(3/24) + (16/24) = 19/24

Answer:

Step-by-step explanation:

square root of 770 is 27.748873851

in between would be.... square root of 25= 5

                                        square root of 36= 6

Answer:

Step-by-step explanation:

standard form is:

Ax+By=C

for problem 2:

y= 1/2 x-8

y- 1/2 x - 8= 0

rearrange:

- 1/2x + y +8 = 0

2 (- 1/2x + y + 8) = 0

-x + 2y + 16= 0

-x + 2y = -16

leading coefficient can't be negative

so multiply everything by -1

x -2y = 16

Answer:

1 yes   no

Step-by-step explanation:

1 this is in standard form as it is  a linear form and the intercepts can be found  

2 This is not  in standard form as it is a linear equation and both the x and y intercepts cant  be found  so must be written in the form AX+BY=C

so

-x + 2y = -6

and leading coefficient cant be - so multiply by -1

so

x-2y=6

Answer:

²

Step-by-step explanation:

6.7 × 10²

6.7×100

670

√100 = 10²