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3 years ago

Helpp nowww 25 points

Mathematics

2 answers:

yan [13]3 years ago

8 0

Answer: 210

Step-by-step explanation:

fgiga [73]3 years ago

4 0

Answer: Surface area = 197 in²

Step-by-step explanation:

To determine the surface area of the solid shown in the diagram, we would first determine the area of the different faces.

1) It has 2 trapezoidal faces at the front and opposite end, the formula for determining the area of a trapezoid is expressed as

Area = (a + b)h/2

a and b are the length of the bases while h is the height of the trapezoid.

Area of trapezoid = (5 + 9)5/2 = 35 in²

Area of the trapezoid at the opposite end = 35 in²

2) Area of base = 9 × 5 = 45 in²

3) Area of top = 5 × 5 = 25 in²

4) Area of slant face = 6.4 × 5 = 32 in²

5) Area of back = 5 × 5 = 25in²

Surface area of the design is the sum of the area of its faces. It becomes

35 + 35 + 45 + 25 + 32 + 25 = 197in²

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The slope field for the differential equation dy/dx=(3y)/(xy+5x) will have vertical segments when

Inessa05 [86]

Answer:

E) x=0 or y=-5

Step-by-step explanation:

The slope field will have vertical segments when dy/dx is undefined, that is, dy/dx is a division by 0.

We have that

dy/dx=(3y)/(xy+5x)

So the slope field will have vertical segments when

$xy + 5x = 0$

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This is when x = 0 or y = -5.

So the correct answer is:

E) x=0 or y=-5

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3 years ago

A package of nine 12-ounce cans of cola costs $7.50. A half-gallon bottle of the same cola is sold for $2.90. Which cola has a c

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Step-by-step explanation:

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3 years ago

15 + 3t - 5 - 8t what is the ANSWER to this

Vikki [24]

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3 years ago

Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles

OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

$A=P\left(1+r\right)^t$

Then we get equation for motorcycles and cars as:

$A=5.75\left(1+0.16\right)^t$

$A=3.5\left(1+0.25\right)^t$

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

$3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t$

$3.5\left(1.25\right)^t>5.75\left(1.16\right)^t$

$\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}$

$\left(\frac{1.25}{1.16}\right)^t>1.64285714286$

$t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)$

$t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}$

$t>6.6436473051$

Hence final answer is approx 6.644 years.

7 0

3 years ago