What is the solution to the system of equations?

-3x-3y+2z=-7

z=1

-2x-3y+z=-6


A.(2, 1, –1)


B.(2, 1, 1)


C.(2, –1, 1)


D.(–2, 1, 1)

Hello There!

Number 2

3.50x=40

Then, divide both of the numbers by 3.50.

You end up with X=11.42 is greater or equal to 12 movies

Number 3

5h+3

5 ‘5’ + 3 = 30

Number 4,5,6 are attached in images below.

Answer:

• mathematical: y ≤ 52

• reasonable: 0 ≤ y ≤ 52

Step-by-step explanation:

The reasonable range is the set of heights between the maximum height and the ground (y=0).

___

The maximum height is about 44.51 meters, so values between that and 52 meters are not in the reasonable range. A maximum height of 52 meters requires an initial velocity of about 15.4 m/s.

Answer:

Step-by-step explanation:

C

Answer:

Volume=2.2*10^10  km^3

Step-by-step explanation:

Given

Diameter of moon=d=3476 km

The formula for the volume of sphere is:

V=4/3 πr^3

As it can be clearly seen that the formula uses radius, and we are given diameter. So we have to find the radius first

So,

radius=r=d/2

=3476/2

=1738 km

Now putting the value of r and pi in the formula:

V=4/3*3.14*(1738)^3

=12.56/3* 5249879272

= 21979494552.106

Rounded off to two significant digits:

Volume=2.2*10^10  km^3

Answer:

[tex]V=2.2\ x\ 10^{10} km^3[/tex]

Step-by-step explanation:

The formula to calculate the volume of a sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

In this case we do not know the radius of the sphere, but we know the diameter.

By definition the diameter of a sphere is equal to twice the radius. This is:

[tex]d = 2r[/tex]

[tex]r = \frac{d}{2}[/tex]

In this case d= 3,476 km

So

[tex]r = \frac{3,476}{2}[/tex]

[tex]r = 1738\ km[/tex]

Finally

[tex]V=\frac{4}{3}\pi (1738)^3[/tex]

[tex]V=2.20\ x\ 10^{10} km^3[/tex]

Answer:

6

Step-by-step explanation:

To solve for e, it must be alone on one side of the equation

Your equation is:

e/2 = 3

To get rid of the divided by 2, you multiply both sides by 2 since multiplication is the opposite of divison.

So:

e/2 = 3

[Multiply both sides by 2]

e = 6

So, e = 6

I hope this helps! :)

Answer:

11

Step-by-step explanation:

3/7 x 14/1 = 42/7 = 6

5/8 x 8/1 = 40/ 8 =5

6+5= 11

Hope this helps

Sorry if it's wrong

If it's right please mark brainliest :D

Answer:

The three integers are 81,82 and 83

Step-by-step explanation:

Let

x,x+1 and x+2 ----> the three consecutive integers

we know that

[tex]x+(x+1)+(x+2)=246[/tex]

Solve for x

[tex]3x+3=246[/tex]

[tex]3x=246-3[/tex]

[tex]x=243/3[/tex]

[tex]x=81[/tex]

therefore

[tex]x=81[/tex]

[tex]x+1=81+1=82[/tex]

[tex]x+2=81+2=83[/tex]

You didn’t give the question

For distributions C and D, the median represents the centre most accurately.

Given that the median is a robust statistic—that is, skewed data and outliers have little effect on it—it is the best estimate of centre for skewed or outlier-filled distributions.

Since the mean is not robust, it serves as a useful proxy for the centre in symmetric distributions.

Answer B has a uniform distribution, whereas answer A has a distribution that is nearly symmetric.

Given that the right tail is longer than the left, solution D appears to have a right-skewed distribution, while answer C has a left-skewed distribution.

Thus, for options C and D, the median would be the most appropriate way to measure the centre.

The question probable maybe:

For which distributions is the median the best measure of center? Select each correct answer:

(Given in the attachment)

Answer:

x = - 6.4 or

x = - 6 2/5

Step-by-step explanation:

3 = 5*x + 7*5              Remove the brackets

3 = 5x + 35                 Subtract 35 from both sides

3 - 35 = 5x + 35-35    Combine

- 32 = 5x                     Divide by 5

-32/5 =5x/5

-6.4 = x

or

- 6 2/5

Answer:

No teen sent texts fewer than 1630 or more than 1854 texts in a month

Step-by-step explanation:

margin of error gives the difference that may come in the sample results from the actual population results.

Given:

Average teen sends 1742±112 texts per month

here ±112 is margin of error, calculating maximum difference:

1742+112=1854

1743-112=1630

No teen sent texts fewer than 1630 or more than 1854 texts in a month !

Final answer:

Discrimination, particularly in the labor market as demonstrated by disparities in job callbacks and opportunities based on race, gender, and disability, represents a systemic issue that persists despite legal protections against such practices.

Explanation:

Discrimination is the unfair treatment of individuals or groups based on characteristics such as race, gender, or religion. One of the most common forms of discrimination occurs in the labor market, where individuals may face disparities in job opportunities and wages. An example of this is how studies have shown that individuals with white sounding names receive more callbacks for interviews than African-American names, indicating racial discrimination. Furthermore, women and those disclosing a disability also face significant hurdles in the job market, highlighting gender discrimination and disability discrimination. Despite the existence of laws against discrimination in the United States and global conventions from the United Nations aimed at eliminating all forms of discrimination, these practices unfortunately persist. Institutional discrimination extends beyond individual acts of prejudice to include systemic issues such as white privilege, which confers benefits upon the dominant group often without their conscious acknowledgment.

Answer:

B) y = 5x

Step-by-step explanation:

We need to find the slope

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

We have 2 points (0,0) and (6,30)

m = (30-0)/(6-0)

  = 30/6

  =5

The slope is5

y = mx+b

The y intercept is 0

y = 5x+0

y = 5x

Answer:

B:)

Step-by-step explanation:

Answer:

[tex]y=200(1.05)^{x}[/tex]

Step-by-step explanation:

This is a compound interest problem. The principal is given as 200 and the interest rate as 5%. We can use the compound interest formula to determine the relationship between time and money;

[tex]A=P(1+r)^{n}[/tex]

where;

A is the amount of money

P is the principal invested

r is the rate of interest

n is the time duration

Substituting the information given we have;

[tex]y=200(1+\frac{5}{100})^{x}\\\\y=200(1.05)^{x}[/tex]

which is an exponential function

Find the attached for the graph of this exponential function.

Answer:

x =  2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - 2 and c = 5, so

y = - 2x + 5 ← equation of line

To find the x- intercept let y = 0, that is

- 2x + 5 = 0 ( subtract 5 from both sides )

- 2x = - 5 ( divide both sides by - 2 )

x =  2.5 ← x- intercept ⇒ (2.5, 0 )

Answer:

Amplitude is 3

Step-by-step explanation:

in y=-3sin5x

the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis

ANSWER

The amplitude is 3

EXPLANATION

The amplitude of a periodic function is the distance from the midline of its graph to the peak.

The given function is:

[tex]y = - 3 \sin(5x) [/tex]

This function is of the form:

[tex]y = a \: \sin(bx) [/tex]

The of this function is

[tex] |a| [/tex]

By comparing the two functions, we have a=-3.

Therefore the amplitude of the given function is

[tex] | - 3| = 3[/tex]

You just have to split the figures in different parts...

- First Picture:

- the total length is 130, so the upper and bottom rectangles have 50ft. as showed, and the middle one is 130-(50x2) = 30

- The second step is get the 2 holes área to subtract from the “total rectangle without holes area” (30x40=1200)x2 and then (20,150-1400=18,750) so, the total area from the rectangle with the holes is 18,750!

Answer:

It's 35

Step-by-step explanation:

I took a test that had this question on it and it said this was the right answer.

Different combination to pulls out 4 coins each time from 7coins is equals to 35.

" Combination is defined as the selection of the objects from the given set where arrangement of order does not matter."

Formula used

[tex]nC_{r} = \frac{n!}{(n-r)!r!}[/tex]

According to the question,

Total number of coins 'n' = 7

Number of coins pulls out each time 'r' = 4

Substitute the value in the formula to get different combination,

[tex]7C_{4} = \frac{7!}{(7-4)!4!}[/tex]

      [tex]= \frac{(7)(6)(5)(4!)}{(3!)(4!)} \\\\=\frac{(7)(6)(5)}{(3)(2)(1)}\\\\=(7)(5)\\\\=35[/tex]

Hence, different combination to pulls out 4 coins each time from 7coins is equals to 35.

Learn more about combination here

https://brainly.com/question/19692242

#SPJ2

ANSWER

[tex]{i}^{20} + 1 =2[/tex]

EXPLANATION

The given expression is;

[tex] {i}^{20} + 1[/tex]

Recall that, in complex numbers

[tex] {i}^{2} = - 1[/tex]

We use this identity to simplify the given expression:

[tex]{i}^{20} + 1 =( {i}^{2})^{10} + 1[/tex]

This implies that:

[tex]{i}^{20} + 1 =( - 1)^{10} + 1[/tex]

[tex]{i}^{20} + 1 =1+ 1[/tex]

[tex]{i}^{20} + 1 =2[/tex]

Answer:

[tex]x= 11.47[/tex]

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

[tex]cos (\alpha) = \frac{adjacent}{hypotenuse}[/tex]

In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20

So:

[tex]cos(55\°) = \frac{x}{20}[/tex]

Now we solve the equation to find the value of x

[tex]x = 20cos(55\°)[/tex]

Finally

[tex]x= 11.47[/tex]

Answer:

11.47

Step-by-step explanation:

Given

Two angles of 90 and 55 degrees

and a side of length 20

Finding third angle= 180-(90+55)

                              = 35

Finding x:

Using Law of Sines to find length of side x

x/sinX=y/SinY

x/sin35=20/sin90

x=20sin35

x=11.47 !

[tex] \frac{9}{8} [/tex]

Step-by-step explanation:

you would want to get rid of the -1/2 so you have to add one half to the other side of the equation and since 1/2 equals 4/8 the equation would be

4/8 plus 5/8 which equals 9/8

ANSWER

B. A(x)=0.5 (f .g)(x)

EXPLANATION

The area of a triangle is calculated using the formula:

Area=0.5 Base × Height

The base is given by

g(x)=2x

and the height of the function is

[tex]f(x)= {x}^{2} + 3[/tex]

This implies that:

A(x)=0.5f(x) × g(x)

A(x)=0.5 (f .g)(x)

The answer is 3/28

-1/4 x -3/7

-1 x -3 = 3

4 x 7 = 28

3/28

Answer: 3/28

Step-by-step explanation:

Answer:

q^12

Step-by-step explanation:

To raise a power to a power you multiply the powers together. That would be 6*2=12.

Mean is the average so just add up all the numbers in your data set and divide by the total for numbers that there are.

Ex. (5, 7, 8, 9)

5+7+8+9=29

29/4=7.25

7.25 is the Mean.

Median is the number that is directly in the middle so just count inwards from each side after you ordered your data set. If you get two numbers just add them both and divide by two.

Answer:

option C is the correct answer

Step-by-step explanation:

System A:                                                  System B:

-x - 2y = 7    ........(1)                               -x - 2y = 7    .......(3)  

5x - 6y = -3  ........(2)                                  -16y= 32  ........(4)

Solution for system A: ( -3, -2)

For option A

Multiply the first equation by 3

3(- x - 2y) = 3(7)         ⇒     - 3x - 6y = 21 ........... (5)

Add equation 2 and 5

  5x - 6y = -3

- 3x - 6y = 21

  2x -12y = 18   ⇒  2( x - 6y ) = 2( 9 )    ⇒   x - 6y = 9

Option A is not equal to equation in system B so now we check option B.

 For option B

Multiply the first equation by -5

-5(- x - 2y) = -5(7)         ⇒    5x + 10y = -35 ........... (6)

Add equation 2 and 6

  5x - 6y = -3

  5x + 10y = -35

  10x + 4y = -38   ⇒   2( 5x + 2y ) = 2(-19)    ⇒  5x + 2y = -19

Option B is not equal to equation in system B so now we check option C.

For option C

Multiply the first equation by 5            

5(- x - 2y) = 5(7)         ⇒   - 5x - 10y = 35 ........... (7)

Add equation 2 and 7

  5x - 6y = -3

- 5x - 10y = 35

    0 - 16y = 32   ⇒   -16y = 32

Option C is equal to equation in system b so now we check if the solution to system B is same as system A.  

Solution to system B:

First, we find value of y from equation 4:

-16y = 32   ⇒    y = [tex]\frac{32}{-16}[/tex]   ⇒    y = -2

Now, we put value of y in equation 3 to find value of x:

-x - 2y = 7  ⇒  -x - 2(-2) = 7   ⇒  -x + 4 = 7   ⇒  -x = 7 - 4  ⇒  -x = 3

multiply both sides by -1

-1 × (-x) = -1 × (3)       ⇒     x = -3

Solution of system B = (-3, -2)

Solution of system B is the same as system A, so option C is correct.

[tex] \frac{5}{60} = \frac{8}{x} \\ 5x = 60 \times 8 \\ x = \frac{60 \times 8}{5} \\ x = 12 \times 8 \\ x = 96[/tex]

So x=96.

Hope it helps...

Regards;

Leukonov/Olegion.

[tex]

\frac{5}{60}=\frac{8}{x} \\

5x=8\cdot60 \\

5x=480 \\

\boxed{x=96}

[/tex]

Hope this helps.

r3t40

Answer:

8*8*8 if thats what you mean. Same outcome as 8^3

Step-by-step explanation:

Final answer:

To simplify 8³ on a scientific calculator, input 8, press the exponentiation key, enter 3, and press '=' to get the result of 512, or 5.12 x 10² in scientific notation.

Explanation:

To simplify 8² using a scientific calculator, you would typically follow these steps:

Ensure that the calculator is turned on and in the correct computational mode.

Enter the number 8.

Press the exponentiation key, often labeled as '^', 'exp', or represented by a caret symbol.

Enter the number 3 to represent the power to which you are raising 8.

Press the '=' or 'Enter' key to execute the calculation.

The calculator will give you the answer, which is 512. When simplifying further, if we were to represent this number in scientific notation, it would be written as 5.12 times 10², as it has three significant figures.

Answer:

Option 1: 0.32

Step-by-step explanation:

Let

P(A) be the experimental probability of getting two

And

P(B) be the experimental probability of getting three

The dice is rolled 360 times.

So the sample space is n(S) = 360

P(A) = n(A)/n(S)

= 54/360

= 0.15

And

P(B) = n(B)/n(S)

= 62/360

= 0.172

As both the events A and B are mutually exclusive,

P(A or B)  = P(A) + P(B)

= 0.15 + 0.172

=0.322

Rounding of to one decimal gives us:

0.32

So the probability of rolling a two or three is 0.32 ..

y= x^2+20x+21

( x+3)(x+7)

or (x+7)(x+3)

Doesn't matter which one comes first

(x+3)(x+7) Answer

(x+7)(x+3) Answer

Answer:

( x + 7 ) ( x + 3 )

Solutions are -7 , -3

Step-by-step explanation:

x² + 10 x + 21

x ( x + 3 ) + 7 ( x + 3 ) = 0

( x + 7 ) ( x + 3 )

Factors = 3 , 7

Sum = 21

Product = 10

ANSWER

|SU|=3ft

EXPLANATION

Triangle TSU is an isosceles right triangle.

Because one of the angles in the right triangle is 45°.

This means that the third angle is also 45°.

This implies that that |ST|=|SU|

The reason is that isosceles triangle has the base angles equal and the arms on these angles are equal.