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2 years ago

Perform the indicated computation. (6x10^2) (2x10^5)

Mathematics

1 answer:

nevsk [136]2 years ago

3 0

Answer:

1.2 x 10^8

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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Solve for the variable in the following proportion 4/7 = x/161

Bess [88]

We want to solve
4/7 = x/161

Cross multiply.
7x =(4)(161) = 644

Divide each side by 7.
x = 644/7 = 92

Answer: x = 92

4 0

3 years ago

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kayla has a T shirt store. she sold three times as many white T shirts as blue T shirts, she sold a total of 48 T shirts. how ma

bezimeni [28]

WT is white T shirts

BT is blue T shirts, and WT=3BT

WT+BT=48

3BT+BT=48

4BT=48

BT=12 so WT =3×12=36

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3 years ago

I’m a right triangle the length of the hypotenuse is 12and the length of one leg is 8 . What is the length of the other leg?

denis23 [38]

Answer:

other leg is 8.94

Step-by-step explanation:

Pythagorean Theorem is a² + b² = c²

a and b are legs

c is the hypotenuse

8² + b² = 12²

64 + b² = 144

-64 -64

b² = 80

√b² = √80

b ≈ 8.94

3 0

3 years ago

The ferris wheel shown makes 12 revolutions per ride how far would someone travel during one ride

Lina20 [59]

I can not see your ferris wheel and so I can not answer it.

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3 years ago

Please help differentiate this!!!!!!!!!

vlada-n [284]

$\bf h=20ln(3t+2)+30\\\\
-------------------------------\\\\
\boxed{a}\\\\
\stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30
\\\\\\
h\approx 43.86
\\\\\\
\boxed{b}\\\\
\stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2)
\\\\\\
\cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2
\\\\\\
e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t$

$\bf \boxed{c}\\\\
\cfrac{dh}{dt}=20\left(\cfrac{1}{3t+2}\cdot 3 \right)+0\implies \cfrac{dh}{dt}=20\left(\cfrac{3}{3t+2} \right)\\\\\\ \cfrac{dh}{dt}=\cfrac{60}{3t+2}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{3}\implies \cfrac{60}{3(3)+2}\implies \cfrac{60}{11}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{10}\implies \cfrac{60}{3(10)+2}\implies \cfrac{15}{8}$

5 0

3 years ago

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