Which expression is equivalent to (2x + 7x*) - (5x² - 4x)?
A
–3x²+11
B
–3x²+3
2x + 11x3 - 5x2
2x5 - 3x) - 5x

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

Answer:

Answer: The volume of the pipe is 412 cubic feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π x radius² x height (Length in this case)

Replacing with the values given:

V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet  (rounded)

In conclusion, the volume of the pipe is 412 cubic feet

Feel free to ask for more if needed or if you did not understand something.

Answer:

V = 392.5 cubic feet

Step-by-step explanation:

[tex]v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi[/tex]

[tex]\pi =3.14[/tex]

[tex]v=392.5cu.ft[/tex]

Hope this helps

The apportion of Bronx quota is the alloted profit to Bronx

The apportion for Bronx quota is 20

The dataset is given as:

From the dataset, we have:

Bronx: 20.73

Remove the numbers after the decimal point

Bronx =  20

Hence, the apportion for Bronx quota is 20

Read more about quota at:

https://brainly.com/question/1499498

Answer:

A. X < 5

Step-by-step explanation:

6(x -2) + 21 < 39

6x - 12 + 21 < 39

Group like terms

6x < 39 + 12 - 21

6x < 30

Divide through by 6

X < 30/6

X < 5

Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

Answer:

B 6c.

Step-by-step explanation:

The mean will be c multiplied by 6.

Answer: D

Step-by-step explanation:

Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

Answer:

[tex]14 \sqrt{3} [/tex]

Step-by-step explanation:

Here you use the 30-60-90 triangle

Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.

Here, x is the opposite of 60 degree angle.

7 times root of 4 is opposite of the 30 degree angle,

So we have

So this means

[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]

Note that

[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]

So we have

[tex]14 \sqrt{3} = x[/tex]

Answer:

-16.15

Step-by-step explanation:

the variable in the equation means that it is ever changing, in this case, ever decreasing.

Answer:

The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.

Answer:

A) {DA???} 0.04x1000=40. Yes

B) 0.4x10 is 4, NOT 0.04. No

C)0.4x1 is 0.4, NOT 0.04. No

D) No

E) Yes

F) No

G) Yes

H) No

Answer: (2,2)

Step-by-step explanation:

Answer: 0.18

Step-by-step explanation:

Using the sin rule:

11/sin(∠G) = 61/90

sin(∠G) = 11/61

sin(∠G) = 0.18°

Therefore, the value of angle G is 0.18 degrees

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m

Answer:

21

Step-by-step explanation:

Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.

Answer:

3/4

Step-by-step explanation:

There are 13 clubs in a standard 52-card deck

That means that 39 cards out of the 52 are not a club ( because 52-13=39)

So the probability of you not being dealt a club is 39/52 or 3/4

Answer:

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

Step-by-step explanation:

Answer:

2733.73

Step-by-step explanation:

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

[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]

[tex]k = 0.462[/tex]

[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]

[tex]r = 2733.73[/tex]

[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]

[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]

Did the math for you.

[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years\dotfill &20 \end{cases} \\\\\\ I = (5000)(0.0725)(20)\implies I=7250[/tex]

Answer:

<1=104

<2=76

<3=76

<4=104

<5=104

<6=76

<7=76

<8=104

Step-by-step explanation:

So, the angles are all vertical to the one across it.

That makes <2 to be 76.

76(2)+2(<1)=360,

2(<1)=208

<1=104

You also know that the two lines are parallel, making the ones above/below it equal.

That makes <7 AND <6 to be 76 as well.

Answer:

You can't cconstruct any triangle

Step-by-step explanation:

110+50+10=170  A triangle always has 180º

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

Answer:

the answer is d , sundiata!

Step-by-step explanation:

the

Answer:

[tex]X ≤ P(119)  \rightarrow    P(X < 119.5)[/tex]

Step-by-step explanation:

Given:

n = 504

p = 0.27

To Approximate:

P(x≤119) usimg normal distribution

Solution:

We know that,

[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]

let's find the mean,

[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]

let's calculate standard deviation,

[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]

Rewriting the equation using continuity correction,

[tex]    P(X ≤ n)  \rightarrow    P(X < n + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119 + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]

Some more things you must need to know,

standard score is an important part of statistics,

can be derived using formula

[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]

Thanks for joining brainly community!

angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)

angle AQS = 35 (congruent to angle SPR)

arc QR = 50 (180-130)

arc RS = 70 (35*2=70)

arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.

If this helped you, I would appreciate it if you gave me brainliest :D