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4 years ago

12

The area of a rectangle was 15 cm. Every dimension was multiplied by a scale factor and the new area was 3.75 cm. What was the s

cale factor?

1 answer:

Pavlova-9 [17]4 years ago

4 0

The scale factor was .25

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A bag of apples weighs 7 2/7

photoshop1234 [79]

Answer:

43.71428571

Step-by-step explanation:

First, convert 7 2/7 into an improper fraction: 51/7

Second, multiply 51/7 by 5: 255/7

Third, add 255/7 and 51/7 to get 306/7

306/7 = 43.71428571

6 0

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

Read 2 more answers

Expand (n+5)*2 by using the perfect square pattern

mario62 [17]

N^2 + 25 if you mean *2 is squared.

8 0

3 years ago

Evaluate C = 2 r, for r = 8.

Jet001 [13]

Answer:

C = 16

Step-by-step explanation:

Substitute r = 8 into the equation for C, hence

C = 2r = 2 × 8 = 16

4 0

3 years ago

Read 2 more answers

153 is .9% of what number?

victus00 [196]

If you mean 9% of 153 your answer is 13.77

7 0

3 years ago