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2 years ago

Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100

Mathematics

1 answer:

Wewaii [24]2 years ago

7 0

Answer:

0.02.90 and 2.90

Step-by-step explanation:

2% of 90 equal to both 0.02.90 because are worth same.

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90 is the answer to that question

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2 years ago

Read 2 more answers

ANSWER ASAP PLS What is the range of f(x)?

Lunna [17]

Answer:

Step-by-step explanation:

The range of a function are the possible y-values (output values).

Options A and B are wrong, because the x-values are the input values.

The range is between -5 and -1 as shown in the graph (y-axis). The circle on the points are shaded so ‘≤’ is correct. Option C is wrong.

The range is greater than or equal to -5 and less than or equal to -1.

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2 years ago

(3,7) Quadrant where the point is located

AleksandrR [38]

Since both values are positive, it is in quadrant 1

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2 years ago

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

2 years ago

In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is

Alex777 [14]

Answer:

The area of the shaded region is 3.

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

$A_s=2 * A_t$

Where At is the area of each triangle.

$\displaystyle A_t=\frac{AB*BC/2}{2}$

$\displaystyle A_t=\frac{AB*BC}{4}$

We know AB=3 and BC=2, thus:

$\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}$

Simplifying:

$\displaystyle A_t=\frac{3}{2}$

Finally:

$\displaystyle A_s=2 * \frac{3}{2}$

$A_s=3$

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

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2 years ago

Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100​

Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100