Quiz about 25.06.2020

Question 1

Find $$f^`\left(0\right)$$ of the function $$f\left(x\right)=e^{x^2+2x}$$

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Answer

4

Question 2

Write the following complex number in algebraic (standard) form

$$z=\left(1-i^{ }\right)^2+2+i$$

Accepted Answer

$$2-i$$

Answer

$$2+i$$

Answer

$$2i$$

Answer

$$i-2$$

Answer

$$-2i$$

Question 3

The width of the rectangle is 3 times less than its length. Find the area of the rectangle, if perimeter is 64cm

Accepted Answer

192

Answer

120

Answer

96

Answer

144

Answer

216

Question 4

Simplify the following expression

$$\frac{1-\cos42^{\degree}}{\sin^221^{\degree}}$$

Accepted Answer

2

Answer

$$\sin21^{\degree}$$

Answer

1

Answer

$$ an21^{\degree}$$

Answer

$$\cos21^{\degree}$$

Question 5

Reduce the following fraction:

$$\frac{11\cdot75}{25\cdot121}$$

Accepted Answer

$$\frac{3}{11}$$

Answer

$$\frac{2}{11}$$

Answer

$$\frac{5}{11}$$

Answer

$$\frac{6}{11}$$

Answer

$$\frac{7}{11}$$

Question 6

Find $$\angle C_1$$ from similar triangles $$ABC$$ and $$A_1B_1C_1$$ , if $$\angle A=61^{\degree}$$ and $$\angle B=45^{\degree}$$

Accepted Answer

74

Answer

71

Answer

84

Answer

104

Answer

76

Question 7

Calculate:

$$11^{\log_{11}7}+7^{\frac{1}{\log_57}}$$

Accepted Answer

12

Answer

10

Answer

9

Answer

7

Answer

15

Question 8

$$\log_4\left(x+7\right)^2=\log_827+\log_25$$ Solve the following equation:

Accepted Answer

8

Answer

-22

Answer

-22;8

Answer

22;8

Answer

-8

Question 9

Which of the following is not correct

Accepted Answer

The diagonals of trapezoid bisect each other at intersection point

Answer

The diagonals of parallelogram bisect each other at intersection point

Answer

The diagonals of the square are perpendicular

Answer

The diagonals of the rhombus are perpendicular

Answer

The diagonals of the rectangle are equal

Question 10

If $$a_1=-2\ and\ a_{20}=-192$$ in arithmetic sequence $$a_n$$ , find $$n$$ that $$a_n=-92$$

Accepted Answer

8

Answer

12

Answer

15

Answer

10

Answer

9

Question 11

Find the value of $$x$$ from the given system of equation:

Accepted Answer

3

Answer

2

Answer

5

Answer

1

Answer

4

Question 12

$$10\%$$ of what number is equal to $$\frac{0.48\cdot3.6\cdot0.8}{0.06\cdot1.2\cdot0.3}$$

Accepted Answer

648

Answer

8650

Answer

456

Answer

568

Answer

7650

Question 13

Solve the following expression

Accepted Answer

110

Answer

99

Answer

121

Answer

72

Answer

90

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