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3 years ago

Algebra 11 th grade pls help

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

The answer is -376 :)

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<img src="https://tex.z-dn.net/?f=%20-%206.2%20%5E%7B0.1x%7D%20%20%3D%20%20-%20100" id="TexFormula1" title=" - 6.2 ^{0.1x} = -

Anna71 [15]

Answer:

$x=25.24$

Step-by-step explanation:

To find the value of $x$ , we are solving the exponential equation $-6.2^{0.1x} =-100$ using logarithms.

Let's solve it step-by-step

Step 1. Divide both sides of the equation by -1 to get rid of the negative signs:

$-6.2^{0.1x} =-100$

$\frac{-6.2^{0.1x}}{-1} =\frac{-100}{-1}$

$6.2^{0.1x} =100$

Step 2. Take natural logarithm to bot sides of the equation:

$ln(6.2^{0.1x)}=ln(100)$

Step 3. Use the power rule for logarithms: $ln(a^{x} )=xln(a)$

For our equation: $a=6.2$ and $x=0.1x$

$ln(6.2^{0.1x)}=ln(100)$

$0.1xln(6.2)=ln(100)$

Step 4. Divide both sides of the equation by $0.1ln(6.2)$

$0.1xln(6.2)=ln(100)$

$\frac{0.1xln(6.2)}{0.1ln(6.2)} =\frac{ln(100)}{0.1ln(6.2)}$

$x=\frac{ln(100)}{0.1ln(6.2)}$

$x=25.24$

We can conclude that the value of x in our exponential equation is approximately 25.24.

5 0

3 years ago

Mrs Newton's savings drop in value by 40% in the first year, fall by 40% in the second year and increase by 80% in the third yea

Vilka [71]

Answer:

₤100

Step-by-step explanation:

In the first two years the savings dropped a total of 80% and in the third year rebounded back 80% which would level it out.

6 0

3 years ago

Find the volume of the following con used 3.14 for pie

m_a_m_a [10]

Answer:

the first one

Step-by-step explanation:

4 0

3 years ago

Hepppppppplppppppplppppppppp

antoniya [11.8K]

Answer:

A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

Step-by-step explanation:

<u>Step 1: Determine the sides</u>

A → 3 ft

B → 7 ft

C → 4 ft

D → 5 ft

<u>Step 2: Determine the surface area</u>

Area of the sides

$A= 4\ ft * 7\ ft = 28\ ft^2$

$A= 5\ ft * 7\ ft = 35\ ft^2$

$A= 3\ ft * 7\ ft = 21\ ft^2$

Area of the top and bottom triangles

$A= \frac{h\ *\ b}{2} = \frac{3\ ft\ *\ 4\ ft}{2} = \frac{12\ ft^2}{2} = 6\ ft^2 = 2(6\ ft^2) = 12\ ft^2$

Total Area

$28\ ft^2 + 35\ ft^2 + 21\ ft^2 + 12\ ft^2$

$96\ ft^2$

Answer: A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

5 0

2 years ago

Read 2 more answers

Can anyone help me I’m seriously stuck on my review??

Hoochie [10]

Answer:

A=250 1.07^t

just remove the parentheses.

Step-by-step explanation:

5 0

3 years ago