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Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.

attashe74 [19]

7/8
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water

8 0

3 years ago

Read 2 more answers

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.

BabaBlast [244]

Answer:

5

Step-by-step explanation:

For positive numbers, the floor function y = ⌊x⌋ gives the integer portion of the number.

⌊5.7⌋ = 5

5 0

3 years ago

For the remaining three problems, write always, sometimes, or never. If it is always true, give the property or two examples. If

Oduvanchick [21]

$x+x=2x\\
2x=2x$

Always true.

5 0

4 years ago

Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)

dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = $\int_a^b \delta\left|r^{\prime}(t)\right| d t$

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

$\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}$

Further simplifying;

$\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}$

Now, use integration to find the mass of the wire;

$\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}$

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0

1 year ago

Please help! i'm not really good at these, thank u sm if u help!

Archy [21]

Answer:

Correct: a, b, c, d, f, g, h, i, l

Incorrect: e, j, k

Step-by-step explanation:

a. -120=60(-2) {insert x and y into the equation and see if it works} Correct

b. 60 is being multiplied by hours, so it is the mph Correct

c. 60 is always the one being multiplied, so it's the constant Correct

d. 210=60(3.5) {insert 3.5 as x [cause hours] and see if it equals 210 [it does]} Correct

e. y is the dependent variable, and it represent miles driven Incorrect

f. Direct variation equation is y=kx {in the equation, k=60} Correct

g. x is the independent variable, and it represents the hours driven Correct

h. The x and the y are proportional Correct

i. y is the dependent variable, and it represent miles driven Correct

j. y is the dependent variable, and it represent miles driven Incorrect

k. Rise=y Run=x The first point would be (1,60) {rise=60 run=1} Incorrect

l. (0,0) is a solution, and it is also the y-intercept Correct

(hope this helps :P)

8 0

3 years ago

Please help Please help Please help