Solve {2x — y = 13; 3x + y = 12

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Step-by-step explanation:

A. D(t) = -25t + 160

this is the correct answer because if you substitute 3 you get 85

Answer:

7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]

Answer:

B

Step-by-step explanation:

Hope it helps and if you need explanation let it in the comments

Answer:

B

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the radius is always half the diameter.

but i could be wrong ,beacause im not sure why they gave you the height.

Answer:

Radius is 14 cm

Step-by-step explanation:

To find the radius, you divide the diametre by 2

28 ÷ 2 = 14

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Have a great summer :)

Answer:

The answer should be A.

Step-by-step explanation:

Answer:

-11xy

Step-by-step explanation:

-14xy -(-3xy)

multiply the bract first - sign * minus sign is plus sign

-14xy+3xy

since they are like terms u can subtract them.u should subtract them because minus and plus means subtract and we should put minus sign in front of the answer because 14 is the highest number and it's sign is negative .

-11xy

Answer:

27

Step-by-step explanation:

4a + 5b

12 + 15

=27

1) 2(x + 7)

2x + 14

2) 8 (x - 3)

8x - 24

3) -4 (y - 6)

-4y + 24

4) -5 (2x + 3)

-10x - 15

Answer:

12/5

Step-by-step explanation:

The total number of students divided by the number of students who prefer dogs.

Mathematically:

48/20

=12/5

Therefore, that's the probability

Answer:

yes they can

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes they can............

Answer:

[tex]y=120 * 1.1^x[/tex] --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

[tex]x \to months[/tex]

[tex]y \to mice[/tex]

So, we have:

[tex](x_1,y_1) = (0,120)[/tex] --- Monday

[tex](x_2,y_2) = (1,132)[/tex] --- One month later

Required

The function

The function is represented as:

[tex]y=ab^x[/tex]

In [tex](x_1,y_1) = (0,120)[/tex], we have:

[tex]120 = a * b^0[/tex]

[tex]120 = a * 1[/tex]

[tex]120 = a[/tex]

[tex]a=120[/tex]

In [tex](x_2,y_2) = (1,132)[/tex], we have:

[tex]132 = a * b^1[/tex]

[tex]132 = a * b[/tex]

Substitute: [tex]a=120[/tex]

[tex]132 = 120 * b[/tex]

Solve for b

[tex]b = \frac{132}{120}[/tex]

[tex]b = 1.1[/tex]

So, the function is:

[tex]y=ab^x[/tex]

[tex]y=120 * 1.1^x[/tex]

To calculate the monthly rate (r), we have:

[tex]y =a(1 + r)^x[/tex]

Compare to: [tex]y =ab^x[/tex]

[tex]1 + r = b[/tex]

Make r the subject

[tex]r = b-1[/tex]

Substitute [tex]b = 1.1[/tex]

[tex]r = 1.1-1[/tex]

[tex]r = 0.1[/tex]

Express as percentage

[tex]r = 0.1*100\%[/tex]

[tex]r = 10\%[/tex]

Answer:

B $1050

Step-by-step explanation:

Determine 30% of the price

1500 * 30%

1500 *.30

450

Subtract this from the price

1500-450

1050

Answer:

B $1050

Step-by-step explanation:

0.3 x 1500 = 1050

Answer:

The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes

Step-by-step explanation:

As far as I can tell, all the correct examples are

1) Symmetrical

2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)

The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line

(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)

Answer:

c.

Step-by-step explanation:

A statistical question has more than 1 answer! hope this helps

Answer:

c) How old am I?

Step-by-step explanation:

This question has only one correct answer that doesn't change, making it non-satistical.

Answer:

1/9

Step-by-step explanation:

6/9 is 1/9th bigger than 5/9

Answer:

B

Step-by-step explanation:

6/9-5/9=1/9

OH SO LIKE CHESTER WAS A REALLY BAD PERSON.

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

┻━┻︵└(՞▽՞ └)

Given:

The equation is:

[tex]efg-h=i[/tex]

To find:

The value of f.

Solution:

We have,

[tex]efg-h=i[/tex]

We need to isolate f to find the value of f.

Adding h on both sides, we get

[tex]efg-h+h=i+h[/tex]

[tex]efg=i+h[/tex]

Dividing both sides by [tex]eg[/tex], we get

[tex]\dfrac{efg}{eg}=\dfrac{i+h}{eg}[/tex]

[tex]f=\dfrac{i+h}{eg}[/tex]

Therefore, the value of f is [tex]f=\dfrac{i+h}{eg}[/tex].

Answer:

$19.99

Step-by-step explanation:

There are 12 months in a year, so in 2 years, there are 24 months.

Find how much each payment will be by dividing the cost by 24:

479.76/24

= 19.99

So, each payment will be $19.99

Answer:

C (3rd choice)

Step-by-step explanation:

Domain (x-values):

We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.

Range (y-values):

We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.

Answer: D, (1,3)

Hope this helped

Answer:

b. (0, 1.5)

Step-by-step explanation:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]

Answer:

f(x)=3x+2 what is f(5)

f(5)=3(5)+2 = 17

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]f(5)=17[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8