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3 years ago

14

A steel beam can be cut to different lengths for a project.

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:None

Step-by-step explanation:

You can write a statement of proportionality without any additional information:

weight = k × length for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).

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Solve the diﬀerential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Anna [14]

<span>Equation at the end of step 1 :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 </span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :

<span> 3.1 </span> Pull out like factors :

<span> -3x3y7 + x3y - 6y</span> = <span> -y • (3x3y6 - x3 + 6)</span>

Trying to factor a multi variable polynomial :

<span> 3.2 </span> Factoring <span> 3x3y6 - x3 + 6</span>

Try to factor this multi-variable trinomial using trial and error<span>

</span>Factorization fails

<span>Equation at the end of step 3 :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step 4 :</span>Theory - Roots of a product :

<span> 4.1 </span> A product of several terms equals zero.<span>

</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>

</span>We shall now solve each term = 0 separately<span>

</span>In other words, we are going to solve as many equations as there are terms in the product<span>

</span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 4.2 </span> Solve : -y = 0<span>

</span>Multiply both sides of the equation by (-1) : y = 0

3 0

3 years ago

Crawling Crayfish!

boyakko [2]

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

$\Rightarrow \dfrac{6}{5}=1.2\ cm/s$

Flicker covers 4 cm in 5 s, its speed is

$\Rightarrow \dfrac{4}{5}=0.8\ cm/s$

Time taken by Cray fish to cover the race is

$\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s$

Time taken by flicker to cover race with 10 cm head start

$\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s$

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

$\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s$

After 25 s, they tied the race.

5 0

3 years ago

The perimeter of a right triangle is 60 feet and the area is 150 square feet. If the lengths of the sides of the triangle are ea

JulsSmile [24]

Answer:

B. 600 ft

Step-by-step explanation:

The formula for the Perimeter of a right triangle = Side a + Side b + Side c

The perimeter of a right triangle is 60 feet

If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?

Hence, the perimeter of the new right triangle = 10 × 60ft

= 600ft

Option B is the correct Option.

4 0

3 years ago

Read 2 more answers

According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?

olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

$u_1 = 5\%$ --- initial rate

$u_2 = 3\%$ --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

$\frac{\triangle Y}{Y} = u_1 - 2\triangle u$

This gives:

$\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)$

$\frac{\triangle Y}{Y} = 5\% - 2(2\%)$

$\frac{\triangle Y}{Y} = 5\% - 4\%$

$\frac{\triangle Y}{Y} = 1\%$

<em>This implies that the GDP will increase by 1%</em>

5 0

3 years ago

Problem:<br> 4 × 32 + 8 ÷ 2 - (5 + 3)

lubasha [3.4K]

Answer:

124

Step-by-step explanation:

is in the photo

i hope this helps :)

6 0

2 years ago

Read 2 more answers