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3 years ago

Show 1,700 using large cubes and flats

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

Answer:

How will the size of the model for 100,000 compare to the size of the model for 10,000? Possible answer: the pattern shows cube, long, flat, cube. So, the shape of the model for 10,000 will be long.

Step-by-step explanation:

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How to do this question plz. ignore what I wrote

Nezavi [6.7K]

Answer:

The answer is 56 grams

Step-by-step explanation:

All you have to is multiply the 2g from 1 coffee and the 28 days worth of coffee and you get 56grams

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3 years ago

Enter an equation in point-slope form for the line.

NISA [10]

Answer:

y + 1 = 3(x + 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 8, - 1) , thus

y - (- 1) = 3(x - (- 8)), that is

y + 1 = 3(x + 8)

8 0

3 years ago

Read 2 more answers

The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

Angle θ and r are related via r = 3 + 2cosθ, so implicitly differentiating with respect to time

 $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

hannah made 18 ounces of applesauce. She evenly portions the applesauce among 4 containers. how many ounces of applesauce are in

Fittoniya [83]

4.5 ounces of applesauce in 1 container.

5 0

3 years ago

A truck rental company charges a one-

Mrac [35]

Answer:

D. 35

Step-by-step explanation:

.8(40+1x)=60

32+.8x=60

.8x=28

x=28/.8

X=35

6 0

3 years ago