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iren2701 [21]
3 years ago
5

A painting measures 2.4 feet from left to right. It’s hung in the center of a rectangular wall measuring 20 feet from left to ri

ght. What is the distance between the right edge of the painting and the right edge of the wall? Assume that the painting does not tilt.
Mathematics
1 answer:
dangina [55]3 years ago
3 0
Answer: 8.8 feet

Explanation:
20-2.4=17.6 feet
That is the length of the wall not counting the painting.
17.6/2=8.8
8.8 is the measurement of one side of the painting to the end of the wall.
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If a turtle walks 7/8 of a mile in 50 mins how far will he govin 60 mins​
max2010maxim [7]

50 min = 7/8 miles

1 min

= 7/8 ÷ 50 miles

= 7/8 × 1/50 miles

= 7/400 miles

So, 60 min

= 7/400 × 60 miles

= 7/40 × 6 miles

= 7/20 × 3 miles

= 21/20 miles

= 1.05 miles

5 0
2 years ago
Differentiate x^2 e^x logx
zimovet [89]

Product rule:

\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)

=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}

Power rule:

\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x

The exponential function is its own derivative:

\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x

Assuming the base of \log x is e, its derivative is

\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x

But if you mean a logarithm of arbitrary base b, we have

y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}

\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}

So we end up with

2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x

=xe^x(2\log x+x\log x+1)

8 0
3 years ago
if karen was 27 and her oldest brother was 29 years older and and there dad was 22 when Karen was born how old is the dad?
g100num [7]

Answer:

49

Step-by-step explanation:

When Karen was born, the dad is 22 so Karen is now 27 which means the dad is 22+27= 49

8 0
3 years ago
Read 2 more answers
Is 1/4 less than 1/10
vaieri [72.5K]

1/4 is equal to 0.25

1/10 is equal to 0.10

so no, 1/4 is not less than 1/10

5 0
3 years ago
Read 2 more answers
Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)
Anastasy [175]

\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})

We have to combine the like terms

From given expression,

\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}

Add 1/7 and 6/7

\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}

Thus the equivalent expression is found

5 0
3 years ago
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