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3 years ago

Number 5. Please help

Mathematics

1 answer:

Elena L [17]3 years ago

6 0

Add all the numbers, then divide by how much numbers there is

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What is the value of x

barxatty [35]

X = 15

X + 90 = 7x

X = 7x - 90

X - 7x = -90

-6x = 90

Divide both sides by -6

X = 15

3 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

You purchase 4 large pizzas for lunch on the beach.Each one cost 9.50$. How much do u spend on pizza

MakcuM [25]

Answer:

$38.00

Step-by-step explanation:

You purchase 4 large pizzas.

Each one costs $9.50

Total expenditure on pizza = $9.50 × 4 = $38.00

5 0

3 years ago

Read 2 more answers

a local charity held a crafts fair selling donated, handmade items. Total proceeds from the sale were 1875. a total of 95 items

Anastasy [175]

55 items sold for $15 each.
40 sold for $25 each.

3 0

3 years ago

Read 2 more answers

What is the area of the base?

MAXImum [283]

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

$A=\frac{bh}{2}$

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

$A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2$

So the area of the base is 24 in²

7 0

2 years ago