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2 years ago

14

The temperature of a substance was - 11°C at first. Its temperature increased and reached a temperature of 25°C in 30 minutes. F

ind the average temperature change of the substance in degrees Celsius per second.

1 answer:

djverab [1.8K]2 years ago

3 0

Answer:

in 30 minutes it changed

36°C

as per that

for every one second

30minutes = 1800 seconds

so it is 36/1800

so answer Is 0.02

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3.3^(2x+1)-103^x+1=0 need value of x

photoshop1234 [79]

Answer:

The value of $x$ is approximately -1.531.

Step-by-step explanation:

Let $3.3^{2\cdot x + 1}-103^{x+1} = 0$ , we proceed to solve this expression by algebraic means:

1) $3.3^{2\cdot x + 1}-103^{x+1} = 0$ Given

2) $3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0$ $a^{b}\cdot a^{c} = a^{b+c}$

3) $(3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$

4) $(3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$ /Commutative property

5) $\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0$ Existence of multiplicative inverse/Definition of division/Modulative property/ $a^{b}\cdot a^{c} = a^{b+c}$

6) $\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}$ Existence of additive inverse/Modulative property/ $(a^{b})^{c} = a^{b\cdot c}$

7) $\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}$ Definition of logarithm.

8) $2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}$ $\log_{b} a^{c} = c\cdot \log_{b} a$

9) $2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3$ $\log_{b} \frac{a}{d}$

10) $x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3$ $\log_{b} a^{c} = c\cdot \log_{b} a$ /Associative property

11) $x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}$ Existence of multiplicative inverse/Definition of division/Modulative property

12) $x \approx -1.531$ Result

The value of $x$ is approximately -1.531.

4 0

2 years ago

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1 A) −3 B) −6 C) −9 D) 3

ehidna [41]

Answer:

D

Step-by-step explanation:

To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allows x to be isolated. The inverse operation is the square root. This is called the square root property of equality.

(x + 2)² = 1

√(x+2)² = √1

(x+2) = ±1

x = 1 -2 and x = -1 - 2

x = -1 and x = -3

The product of the roots -1 and -3 is -1*-3 = 3

8 0

2 years ago

Can someone help me w/ this just one question thx

vodomira [7]

Answer:

88

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Can someone help me please

sp2606 [1]

6% of $22 = 1.32
22 + 1.32 = 23.32 (cost of meal with tax)
20% of 23.32 = 4.66
23.32 + 4.66 = 27.98
Total cost = $27.98

5 0

2 years ago

Read 2 more answers

Weston, Lila and Jenny have 72 gumballs all together. Ben has two candy bars. If the gumballs are equally

gtnhenbr [62]

Answer:

72 / 3 = 24

Step-by-step explanation:

5 0

2 years ago