8x + y = 3
-8x - y = 3 ​

Answer:

11.08 cm/s

Step-by-step explanation:

Here it is given that the edges of a cube are increasing at a rate of 6.4 cm/s . And we need to find out the rate at which the diagonals are increasing . If we assume each side of the cube to be x , then ;

[tex]\longrightarrow \dfrac{da}{dt}= 6.4 \ cm/s\dots (i) [/tex]

Now we can find diagonal as ,

[tex]\longrightarrow d = \sqrt{ length^2+breadth^2+height^2} [/tex]

Here l = b = h = a ; so ,

[tex]\longrightarrow d =\sqrt{ a^2+a^2+a^2} [/tex]

Simplify,

[tex]\longrightarrow d =\sqrt{3a^2} [/tex]

Take out a from square root,

[tex]\longrightarrow d =\sqrt3 a[/tex]

Now , we can find the rate of change of diagonal as ;

[tex]\longrightarrow r =\dfrac{d\sqrt3 a}{dt} [/tex]

Take out the constant,

[tex]\longrightarrow r = \sqrt3\dfrac{da}{dt} [/tex]

From equation (i),

[tex]\longrightarrow r = 1.732 \times 6.4 \ cm/s [/tex]

Multiply ,

[tex]\longrightarrow \underline{\underline{ rate_{of\ change \ of \ diagonals}= 11.08\ cm/s}}[/tex]

This is the required answer!

If the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s

The diagonal of a cube of side length S is given by:

d = S*√3

In this case, we know that the side length increases at a rate of 6.4 cm/s, then we can write:

S = S₀ + 6.4cm/s*t

Where S₀ is the initial side length, replacing that on the diagonal formula we get:

d = (S₀ + 6.4cm/s*t)*√3

Now if we differentiate it with respect to the time t, we get:

d' = 6.4cm/s*√3 = 11.1 cm/s

So, if the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s.

If you want to learn more about rates of change, you can read:

https://brainly.com/question/8728504

Answer:

Learn PEMDAS on YT

Step-by-step explanation:

Answer:

If you want to know laps per minute it is 5 laps / 6 min = 0.83 laps per min

Step-by-step explanation:

Answer:

-6x+12

Step-by-step explanation:

-3(2x-4)

First, -3 distributes to 2x to make it -6x.

Then -3 distributes to -4. A negative times a negative is a positive so it will equal 12.

You have a total of 3 bills ( 2 one dollar and 1 five dollar)

There are two chances out of the three of getting a one dollar bill.

This is written as 2/3 probability

Answer: 2/3

Answer:

what triangle where is the triangle?

Answer:

.0097

Step-by-step explanation:

Take the decimal and move it 3 (variable for any negative exponent) places to the left

Answer:

0.0097 is the answer.

Step-by-step explanation:

You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.

surface area=total area of rectangle

the base total Surface area

=(LW+lw)2

=(8×4+6×3)2

=(32+18)2

=50×2

=100cm²

surface area of a rectangle

4×12

48cm²

SA of another rectangle

5×12

60cm²

Sa of contact base

8×12=96cm²

sa of height rectangle

10×12

120cm²

Sa of another rectangle

6×12

72cm²

area of the top=3×12

36cm²

total area=100cm²+48cm²+60cm²+96cm²+120cm²+72cm²+36cm²

sa=532cm² is the answer

hope it was helpful.

please mark brainliest

Answer:

2.5

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{AC}{BC}=\frac{CD}{DB}[/tex]. Plugging in the known side lengths gives [tex]\frac{5.8}{6.2}=\frac{?}{2.7}[/tex]. Solving gives:

[tex]?=(5.8\cdot 2.7)/6.2[/tex]

[tex]\approx 2.5[/tex], rounded to one decimal place.

Answer:

x = 7 5/8

Step-by-step explanation:

Given:

x - 2 5/8 = 6 1/4

first, let's find a common denominator so we can deal with the fractions easier.

The smallest number 8 and 4 is divisible by, is 8.

so we just multiply everything in the equation by 8 now, this helps get rid of the fractions.

x - 2 5/8 = 6 1/4

8 (x -2 5/8) = 8 (6 1/4)

simplifies into

8x -16 + 5 = 48 + 2

simplify some more

8x -11 = 50

solve for x

8x = 11 + 50

8x = 61

x = 61/8

or

x = 7 5/8

Answer:

Decimal: x=8.87

Improper fraction: x=71/8

Mixed number: x=8 7/8

Step-by-step explanation:

[tex]x-2\frac{5}{8}=6\frac{1}{4}[/tex]

First, let's convert mixed numbers to improper fraction

[tex]x-\frac{21}{8}=\frac{25}{4}[/tex]

Now, we can add 21/8 to both sides

[tex]x-\frac{21}{8}+\frac{21}{8}=\frac{25}{4}+\frac{21}{8}[/tex]

[tex]x=\frac{71}{8}[/tex]

We can convert 71/8 to a mixed number

[tex]x=8\frac{7}{8}[/tex]

Hope this helps!

Answer:

(2x4 + 11x2 - 5)

Step-by-step explanation:

((2•(x5))+(7•(x3)))-(5x-22x3)

((2 • (x5)) +  7x3) -  (5x - 4x3)

(2x5 +  7x3) -  (5x - 4x3)

2x5 + 11x3 - 5x  =   x • (2x4 + 11x2 - 5) 

Factoring  2x4 + 11x2 - 5 

Multiply the coefficient of the first term by the constant  2 • -5 = -10  

Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   
10   +   1   =   -9   
-5   +   2   =   -3
-2   +   5   =   3     
-1   +   10   =   9

Hope this helps!

Answer:

See below.

Step-by-step explanation:

The inequality is a range, since there is no line going one way, but two points on either side of the line.

-4<x≥5(Or -4<0≥5, can't remember the format)

-hope it helps

Answer:

6/5

Step-by-step explanation:

Answer:

5/6

the lowest number from 30 is 5x6 which is 30.

6x6 = 36

therefore,

5/6

Answer:

.20 per mile.

Step-by-step explanation:

300 x .25 is 75. 75/375 is .20

Answer:

46m

Step-by-step explanation:

2(18)+2(5)=46

Answer:

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides.

18 + 5 + 18 + 5 =

46m

Answer:  132-5=127

Step-by-step explanation:

22 ounces in teaspoons is 132 -5=127

Answer:

14

I hope it works for you

Answer:

R=5

Step-by-step explanation:

The area of a semi circle is 1/2(pi×R^2).

Since the area is given you would just work backwards.

Using 3.14 as "pi", you would have

39.25 = 1/2(3.14×R^2)

39.25*2 = 3.14*R^2

78.5 = 3.14* R^2

78.5/3.14 = R^2

25 = R^2

Then you would take the sqrt of R and 25

And the answer would come to 5 = R

R= radius

[tex] \small \tt{Area \: of \: a \: semicircle = \frac{1}{2} \times \pi {r}^{2} }[/tex]

[tex] \small\tt{39.25 = \frac{1}{2} \times 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{39.25 \times 2 = 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{78.5 \: = 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{ \frac{78.5}{3.14} = {r}^{2} } [/tex]

[tex] \small\tt{ {r }^{2} = 25} [/tex]

[tex] \small\tt{r = \sqrt{25} = 5 } [/tex]

[tex] \small\tt{r = 5} [/tex]

Hope it will help you

Answer:

5x-3

Step-by-step explanation:

x= "a number"

5 times x= 5x

3 less that 5x=

5x-3

Hope this helps!

Answer:

5x-3

Step-by-step explanation:

less than means it comes after

5 times a number

5x

3 less than

5x-3

Answer:

20 student who have a screen time of 12 or more hours have a grade below 80

Answer:

If Chelsea uses more then 300 minutes a month then company B, if not she should chose company A

Step-by-step explanation:

40-25=15

15/0.05=300

Here is your answer!

|-7.1|                    7.1

|-3.1 + 8.8|          5.7

|2.7 + 4.2|          6.9

|4-9|                   5

Explanation:

The absolute value of something is the distance of a number from zero, regardless of direction. The distance is always positive, as absolute value of a number cannot be negative.

Answer:

13 cubes

Step-by-step explanation:

cube is a 3D square basically

so you can do the volume

2 * 1 * 7/4

14/4

14/4 and you divide it by 1/4

14/4 ÷ 1/4 or 14/4 * 4/1

52/4

13 cubes

Answer:

224 cubes to fill the entire prism.

Step-by-step explanation:

using the formula:

full prism volume: 2 * [tex]\frac{7}{4}[/tex] * 1 = 3.5 cm³

volume of single cube: ([tex]\frac{1}{4}[/tex])³ = [tex]\frac{1}{64}[/tex] cm³

so ? cubes to fill: 3.5 /  [tex]\frac{1}{64}[/tex] = 224 cubes.

Answer: it’s A (u gotta trust me on this)

Answer:

c= -3 , c= -4

Step-by-step explanation:

[tex]c_{1,2} =\frac{-14+\sqrt{14^{2}-4*2*24 } }{2*2}[/tex]

[tex]\sqrt{14^{2}-4*2*24=2 }[/tex]

[tex]c_{1,2} =\frac{-14+2}{2*2}[/tex]

Separate the solutions:

[tex]c_{1} \frac{-14+2}{2*2} , c_{2} =\frac{-14-2}{2*2}[/tex]

c= -3

c= -4

Answer:

Step-by-step explanation:

1)

2)