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3 years ago

10

the relationship between two variables a and b is proportional. when a is 3 b is 25.5. write an equation to represent this relat

ion

2 answers:

chubhunter [2.5K]3 years ago

6 0

Answer:

y= 8.5x

Step-by-step explanation:

sesenic [268]3 years ago

5 0

The answer is y = 8.5x

explanation is in the picture.

hope it helps.

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Rewrite using the<br> distributive property :<br> 45 + 9

mel-nik [20]

Answer: 9(5 + 1)

<u>Step-by-step explanation:</u>

Factor out the GCF (greatest common factor) of 45 and 9, which is 9.

$9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}$

5 0

3 years ago

Y equals 4x to the 3rd power minus 3 plus 2x to the second power

Marina CMI [18]

Y=4x^3 - (3+2x)^2 hope this helped! I wrote it out in the picture

7 0

3 years ago

Read 2 more answers

You perform 7000 significance tests using a significance level of 3%. Assuming that the null hypothesis is true, how many of the

mr Goodwill [35]

Answer:

210

Step-by-step explanation:

we have given significance level α=3% =0.03

level of significance is nothing but the chances of rejecting a null hypothesis by the test when it given that it is correct. it is denoted by α it also defined as the

level of significance =1 - confidence level

now statistically significant test =0.03×7000=210

so the expected value of statistical significant is 210

4 0

4 years ago

Use the procedures developed to find the general solution of the differential equation. (Let x be the independent variable.)

makkiz [27]

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

$(a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)$ is a differential equation.

If $Q(x) \neq 0$

It is non homogeneous then,

The general solution = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution = complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

$(2D^3+15D^2+24D+11)y=0$

Auxiliary equation,

$2m^3+15m^2+24m +11 = 0$

-1 | 2 15 24 11

<u> | 0 -2 - 13 -11 </u>

2 13 11 0

∴ $2m^2+13m+11=0$

The roots are

$=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$

$=\frac{-13\pm9}{4}$

$=-5.5, -1$

So, $m_1, m_2, m_3 = -1, -1, -5.5$

Then the general solution is :

$= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$

8 0

3 years ago

A cylinder with a 2 centimeter diameter is drilled through the triangular prism shown on the left find the volume of the prism

saw5 [17]

Answer:

The volume of a prism on its own = 248.5cm^3

The volume of a cylinder = 87.92cm^3

Step-by-step explanation:

The volume does not change for the prism as the hole was drilled.

We can show the drilled space with v(l) and (p) for prism V

v(l) 248.5p - 87.92p + 87.92p

= 248.5p

3 0

3 years ago