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3 years ago

12

Wirte an expression that should have a variable and a constant

2 answers:

e-lub [12.9K]3 years ago

7 0

7x+5
Hope this helps

a_sh-v [17]3 years ago

6 0

Variable could be anything which can be defined by an Alphabet only whereas Your constant would be any real number.

An Example of Your question could be: x + 2

Hope this helps!

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The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire? (Use 3.14 for .) A. 262.27 in B.

Shtirlitz [24]

Answer:

Option <u>C. 13.3 in</u>.

Step-by-step explanation:

Here's the required formula to find the radius of the bike tire :

$\longrightarrow{\pmb{\sf{C_{(Circle)} = 2\pi r}}}$

C = circumference
π = 3.14
r = radius

Substituting all the given values in the formula to find the radius of the bike tire :

$\begin{gathered} \qquad{\longrightarrow{\sf{C_{(Circle)} = 2\pi r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 2 \times 3.14 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 6.28 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{83.524 = 6.28r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{83.524}{6.28}}}} \\ \\ \qquad{\longrightarrow{\sf{r = 13.3 \: in}}} \\ \\ \qquad \star{\underline{\boxed{\sf{\red{r = 13.3 \: in}}}}}\end{gathered}$

Hence, the radius of bike tire is 13.3 inches.

$\rule{300}{2.5}$

6 0

2 years ago

Read 2 more answers

3. Solve each of the following constant coefficient ordinary differential equations: (10 pts] a) y"+ 3y'- 28y = 0

eduard

Answer:

$y(t) = C_1e^{4t} + C_2e^{-7t}$

Step-by-step explanation:

We are given the following information in the question:

$y''+3y'-28y = 0$

This can be written as:

$(D^2 + 3D - 28)y = 0$

The auxiliary equation obtained is:

$m^2+ 3m - 28 = 0\\ m^2 + 7m - 4m - 28 = 0\\m(m+7)-4(m+7)=0\\(m-4)(m+7)\\m = 4, m = -7$

Thus, the general solution of the equation is:

$y(t) = C_1e^{4t} + C_2e^{-7t}\\\text{where } C_1, C_2 \text{ are constants}$

6 0

3 years ago

The volume of a square prism is 144x^3 +216x^2 +81x

Svetach [21]

Answer:

Equation for the perimeter of prism's square face: 16x + 12

Step-by-step explanation:

Volume of Square prism = Length * Width * Height

= 144 x^3 + 216 x^2 +81 x

taking 9x common = 9x( 16 x^2 + 24 x + 9)

= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )

= 9x ( 4x+3)^2

so the length is 9x, width is 4x+3 and height is 4x+3

Now, Perimeter of prism's square face = 2* Width + 2 * Height

= 2* (4x+3) + 2* (4x+3)

= 8x +6 + 8x + 6

= 16x +12

6 0

3 years ago

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

STatiana [176]

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

7 0

3 years ago

One mile = 63360 inches, and the risers of the steps of the capitol building are 6 inches high. Barry is visiting the capitol, a

ratelena [41]

Barry's altitude above sea level is 63,360

5 0

3 years ago