(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

Answer:

3:4 itself.

3:4 itself.

Step-by-step explanation:

3:4 itself.

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven

[tex] \: \: \: \: [/tex]

[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]

[tex] \frac{x {e}^{x} }{x + ex} [/tex]

[tex] = \frac{ {e}^{x} }{1 + e} [/tex]

[tex] \: \: \: [/tex]

Answer:

$1000 per month

Step-by-step explanation:

5000 dollars is 100 percent so we put 5000 over 100

5000/100

then since we need to find 20 percent of something, we put x over 20

x/20

Then we cross multiply

5000      times       x              

100                        20

so 100x = 100000

and x = 1000

Good luck, and hope I did this correctly

Answer:

1000

Step-by-step explanation:

NECESSITIES

$2,500

WANTS

$1,500

SAVINGS AND DEBT REPAYMENT

$1,000

Answer:

(1,1)0that is the answer I think

Answer:

A = 1,1 B = 4,2 C = 2,4

Explanation:

90 cw (270 ccw) - Same y, opposite x.

180 - opposite x, opposite y

270 cw (90 ccw) - opposite y, same x

Answer: He sold 1,800 merchandise

Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800

I dont know if im right though

Answer:

so what do i do

Step-by-step explanation:????????????

Answer:

x = 7

Step-by-step explanation:

The difference between the length and width is 3 , then length = x - 3

area (A) of rectangle = length × width

A = x(x - 3) = 28 , distribute parenthesis

x² - 3x = 28 ( subtract 28 from both sides )

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

However, x > 0 , then x = 7

Answer:

16.5 shirts were small.

Step-by-step explanation:

0.75 x 22 = 16.5

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

Answer:

(2,0)

Step-by-step explanation:

The minimum is 4 units from the x intercept on the x axis.

Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.

6+4=10

6-4=2

The other x intercept is at (2,0)

The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]

Given the differential equation;

[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]

Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation

Let [tex]D=\frac{dy}{dx}[/tex]

The differential equation becomes;

[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]

Factorizing the auxiliary equation m² - 2m = 0

m² = 2m

m = 2

Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as  [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]

Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]

b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.

Learn more here: https://brainly.com/question/13512633

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

Answer:

Lower bound: 78.5

Upper bound: 79.5

Step-by-step explanation:

Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.

If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2

Answer:

Inverse:  (3, 2)

Step-by-step explanation:

Given the point, (2, 3), as an ordered pair of the function, f(x):

Since we know that for any functions, there is a one-to-one correspondence between each domain and range values.  Conversely, each range value also corresponds to one domain value.  

The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.

Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).

Answer:

what you men

Step-by-step explanation:

Answer:

This may not be right, but I tried! I believe its 6.

Step-by-step explanation:

Answer:

mean = 93

mode(s) = 90 and 94

median = 93

Step-by-step explanation:

[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]

[tex]\sf{mean = \frac{744}{8} }[/tex]

[tex]\bf{mean = 93}[/tex]

.

mode(s) = 90 and 94

.

sort from smallest

90, 90, 91, 92, 94, 94, 95, 98

median :

[tex]\sf{median = \frac{92 + 94}{2} }[/tex]

[tex]\sf{median = \frac{186}{2} }[/tex]

[tex]\bf{median = 93}[/tex]

Answer:

9 cherry, 6 blueberry

Step-by-step explanation:

lets do a table!

cherry | blueberry

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

   3             2

   6             4

   9             6

When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.

(f o h)(-1) = ...

= f(h(-1))

= f(-1 + 2)

= -2(-1 + 2) - 1

= 2 - 4 - 1

= -2 - 1

= -3

Answer:

Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).

A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]

Given the following system of equations:

[tex]y=-2x-64[/tex]  ...equation 1.

[tex]x-y=-36[/tex]   ...equation 2.

To find a solution to the given system of equations, we would use the substitution method:

First of all, we would make x the subject of formula in equation 2.

[tex]x=-36+y[/tex]  ...equation 3.

Substituting eqn. 3 into eqn. 1, we have:

[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]

For the value of x:

[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]

Read more: https://brainly.com/question/14413983

Explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

Check the picture below.

Answer:

$2.81

Step-by-step explanation:

8 feet = 2.44 meters

2.44 · $1.15 = $2.81

I hope that this helps!!!

Answer:

c. 2.81

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

Answer:

14,17, 20

Step-by-step explanation:

Kindly see the picture I have solved it as required