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3 years ago

Please help me fill in the blank! Thank you!!

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:the fraction of 6% is 6/10

Step-by-step explanation:and the model is 10 squares and only color 6 of them

marusya05 [52]3 years ago

5 0

Answer:

The fraction of 6% is 6/10 and the model is 10 squares and only color 6 of them

YOU WELCOME :)

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What’s the area of this shape

sergeinik [125]

The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.

Its area is

4+8

-------- 2 cm = 12 cm^2

The lower part consists of two congruent triangles. The area of a triangle is

A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.

Thus, the total area is (12+23) cm^2, or 35 cm^2.

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4 years ago

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Which exponential function is represented by the values in the table?

svlad2 [7]

Here we use the equation

$y = a(b)^x$

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

$4 = a(b)^0
\\
4 = a(1) \\
a =4$

Substituting (1,2) we will get

$2 = 4 (b)^1
\\
2/4 = b
\\
b = 1/2$

So we have

$a = 4, b = 1/2$

Therefore , required equation is

$y = 4(1/2)^x$

7 0

3 years ago

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Please help solve with steps:<br><br> -3 + u = 1/2 <br> ----<br> 5

Luden [163]

-3/5 + u = 1/2

To find u , you have to shift all the “numbers” to one side

u = 1/2 + 3/5 = 11/10

( note that when -3/5 moves to the other side , the sign changes and become positive “ + “ )

Hope this helps!

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3 years ago

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate.

Anika [276]

His average speed is 12 and 2/3 km per hour

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4 years ago

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Hello , how to do 6(iii)?

Doss [256]

Answer:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}$

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Therefore:

$\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Next, the surface area of a sphere S is given by:

$\displaystyle S=4\pi r^2$

Therefore:

$\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}$

We can divide both sides by 2:

$\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}$

We can substitute this into dV/dt. Rewriting:

$\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)$

So:

$\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}$

Since dV/dt = 0.03 or 3/100:

$\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}$

Therefore:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)$

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

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3 years ago