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2 years ago

12) Twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100

Mathematics

1 answer:

andrezito [222]2 years ago

4 0

Answer:

Let's suppose that one cubic foot of marble is x.

20x = 3400

But because the weight has a range of +-100, then 20x is between 3300 and 3500. Write it like this:

3300<20x<3500

Divide by 20:

165<x<175

The meaning of this is that one cubic foot of marble weight between 165 and 175 pounds

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Select the correct answer.

Marta_Voda [28]

Remember x is x and f(x) is same thing as y.

f(5) = 4

It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)

Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D

Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4

So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C

Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4

So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B

Check A too, it gets y=14 so thats wrong as it is not 4.

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1 year ago

Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,

ANTONII [103]

Assuming the particle's position is given by

$\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}$

then the distance traveled over the interval is

$\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt$
$=\displaystyle2\int_0^4\mathrm dt$
$=2(4-0)=8$

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3 years ago

Is 7/8 greater than 3/4

lubasha [3.4K]

Answer: yes

Step-by-step explanation:

convert 3/4 so the denominator is the same for both fractions. you would just double the fraction : 6/8

now compare 7/8 and 6/8

7/8 is closer to a whole so yes it is greater x

8 0

3 years ago

Read 2 more answers

A local baseball team about 75 shirts from the T-shirt company. The team was charged $6.25 for total shipping but received a $20

ollegr [7]

In order to solve this question
Make an equation
Let x be the cost of each T- shirt
75x+6.25-20=398.75
Simplify the equation
75x-13.75= 398.75
Get Rid of The Constant
75x-13.75+13.75= 398.75+13.75
75x=412.5
Make sure your Variable is equal to one
75x÷75= 412.5÷75
x= 5.5
The price of each shirt is $5.50

4 0

3 years ago

If I = prt; p = 350, r = 6%, I = 42, then t = 2 A. True B. False

Liono4ka [1.6K]

t = 2 → A true

given I = PRT

to find T , divide both sides by PR

note that R = 6% = $\frac{6}{100}$ = 0.06

T = $\frac{I}{PR}$ = 42/( 350 × 0.06 ) = 2

4 0

3 years ago