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4 years ago

Plz help me with this

Mathematics

1 answer:

Salsk061 [2.6K]4 years ago

4 0

Answer: $\bold{b)\quad \dfrac{x+3}{4}}$

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

$y=4x-3\\\\\text{Swap the x's and y's. Then solve for y:}\\x=4y-3\\\\\text{Add 3 to both sides:}\\x+3=4y\\\\\text{Divide both sides by 4:}\\\large\boxed{\dfrac{x+3}{4}=y}$

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An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s

maks197457 [2]

Answer:

$W_s \approx5.3$

Step-by-step explanation:

From the question we are told that

Height $H=3.5ft$

Weight $W= 6ft$

Depth $D=0.95ft$

Generally the equation for ellipses is given as

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

Where

$b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\$

$\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1$

Generally to find y in the equation $\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

$y=-b+d$

$y=-1.75+0.95$

$y=-0.8$

Therefore

$\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1$

$\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}$

$\frac{x^2}{3^2} =1-0.2089795918$

$X^2 =3^2(1-0.2089795918)$

$X^2 =7.119183674$

$X =\sqrt{7.119183674}$

$X =2.66817984$

Therefore the width of the given stream is

$W_s=2.66817984*2$

$W_s=5.33635968$

$W_s \approx5.3$

3 0

3 years ago

Find the value.<br> X3-4 when x=3<br> PLEASE HELP!!! ASAP!!!

DENIUS [597]

Answer:

Step-by-step explanation:

Raise 3 to the power of 3

27 - 4

Subtract 4 from 27

Hope this was correct

7 0

4 years ago

Read 2 more answers

If y = 3ab + 2b3, what is y when a = 1 and b = 2

Dominik [7]

Answer: The required value of y is 22.

Step-by-step explanation: We are given the following function of a and b :

$y=3ab+2b^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of y when a = 1 and b = 2.

To find the required value of y, we need to substitute the values of a and b in equation (i).

From (i), we get

$y=3\times1\times2+2\times2^3=6+16=22.$

Thus, the required value of y is 22.

5 0

3 years ago

What is the answer to 1 2/3÷10+5

ratelena [41]

Answer:

The answer is 5 1/6

Step-by-step explanation:

1 2/3 ÷ 10 + 5

5/3 ÷ 10/1 + 5/1

From the rule of BODMAS, we solve for division before subtraction

to change division to multiplication, 10/1 will become 1/10, then will we have

5/3 × 1/10 + 5/1

1/3 ×1/2 + 5/1

1/6 + 5/1

The common multiple of 6 and 1 is 6, so if we solve for the fraction, we will have

1/6 + 30/6 = 31/6

= 5 1/6

3 0

3 years ago

Help me with this please.

andriy [413]

1. bc/3 + a/xy + 3/ab
= b^2cxya + 3a^2b + 9xy/3xyab

2. (5/3y) + 2y - 12
=11/3y - 2

3. ?

Hope this helps and right! :)) Good luck

4 0

3 years ago