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3 years ago

7

A small rock is thrown straight up with initial speed v0 from the edge of the roof of a building with height H. The rock travels

upward and then downward to the ground at the base of the building. Let y be upward, and neglect air resistance.

1 answer:

Anika [276]3 years ago

4 0

Answer:

as answered in the attached file

Step-by-step explanation:

The derivation and mathematical manipulation is as shown in the attachment .

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A stack of thirty cards is placed next to a ruler, and the height of stack is measured to be 3 /4 of an inch. How thick is one c

ANEK [815]

You need to divide 3/4 inches by 30 cards.

Using the reciprocal rule,

(3/4)/30 = (3/4)*(1/30)

Multiplying fractions,
(3/4)*(1/30) = 3/120 = 1/40 inches.

4 0

3 years ago

FIRST ONE TO ANSWER RIGHT AND EXPLAIN HOW THEY GOT THAT ANSWER WILL BE MARK BRAINIEST

Vikentia [17]

Answer: The percent error=16%

Step-by-step explanation:

Estimated amount of liquid in a container = 50 ml

Actual amount of liquid in the container = 43 ml

We know that the percent error = $\frac{|estimated\ value-actual\ value|}{actual\ value}\times100$

By substituting the values in the formula, we get

The percent error= $\frac{|50-43|}{43}\times100$

⇒The percent error= $\frac{7}{43}\times100=0.1627\times100$

⇒The percent error= $16.27\%\ \approx16\%$

∴ The percent error=16%

4 0

4 years ago

Read 2 more answers

Pls help i will give you a 5 star rating

docker41 [41]

Question # 1

Given the expression

$6^2\div \:3+\left(5+3\cdot \:2\right)-2^3$

Follow the PEMDAS order of operations

$\mathrm{Calculate\:within\:parentheses}\:\left(5+3\cdot \:2\right)\::\quad 11$

$=6^2\div \:3+11-2^3$

$\mathrm{Calculate\:exponents}\:6^2\::\quad 36$

$=36\div \:3+11-2^3$

$\mathrm{Calculate\:exponents}\:2^3\::\quad 8$

$=36\div \:3+11-8$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:36\div \:3\::\quad 12$

$=12+11-8$

$\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:12+11-8\::\quad 15$

$=15$

Therefore,

$6^2\div \:3+\left(5+3\cdot \:2\right)-2^3=15$

Question # 2

Given the expression

$\frac{4+3^2-15\div 5}{\left(2^4-5\cdot \:3\right)^2}$

as

$4+3^2-\frac{15}{5}$

$=4+9-\frac{15}{5}$ ∵ $3^2=9$

$\mathrm{Add\:the\:numbers:}\:4+9=13$

$=-\frac{15}{5}+13$

and

$\left(2^4-5\cdot \:3\right)^2$

$=\left(16-5\cdot \:3\right)^2$ ∵ $2^4=16$

$\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15$

$=\left(16-15\right)^2$

$\mathrm{Subtract\:the\:numbers:}\:16-15=1$

$=1^2$

$\mathrm{Apply\:rule}\:1^a=1$

$=1$

Thus the equation $\frac{4+3^2-15\div 5}{\left(2^4-5\cdot \:3\right)^2}$ becomes

$=\frac{-\frac{15}{5}+13}{1}$

$\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3$

$=\frac{-3+13}{1}$

$\mathrm{Apply\:rule}\:\frac{a}{1}=a$

$=-3+13$

$\mathrm{Add/Subtract\:the\:numbers:}\:-3+13=10$

$=10$

Therefore,

$\frac{4+3^2-\frac{15}{5}}{\left(2^4-5\cdot \:3\right)^2}=10$

Question # 3

Given the expression

$ab-c^2+2b$

Putting a = 2, b = 4, and c = 1 in the expression

$=\left(2\right)\left(4\right)-\left(1\right)^2+2\left(4\right)$

Follow the PEMDAS order of operations

$\mathrm{Calculate\:exponents}\:\left(1\right)^2\::\quad 1$

$=\left(2\right)\left(4\right)-1+2\left(4\right)$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:\left(2\right)\left(4\right)\::\quad 8$

$=8-1+2\left(4\right)$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(4\right)\::\quad 8$

$=8-1+8$

$\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-1+8\::\quad 15$

$=15$

Therefore,

$ab-c^2+2b=\left(2\right)\left(4\right)-\left(1\right)^2+2\left(4\right)=15$

Question # 4

Given the expression

$4d^3+2e\div \:f+de$

Putting d = 2, e = 3, and f = 6 in the expression

$=4\left(2\right)^3+2\left(3\right)\div \:6+\left(2\right)\left(3\right)$

Follow the PEMDAS order of operations

$\mathrm{Calculate\:exponents}\:\left(2\right)^3\::\quad 8$

$=4\cdot \:8+2\left(3\right)\div \:6+\left(2\right)\left(3\right)$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:8\::\quad 32$

$=32+2\left(3\right)\div \:6+\left(2\right)\left(3\right)$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(3\right)\div \:6\::\quad 1$

$=32+1+\left(2\right)\left(3\right)$

$\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:\left(2\right)\left(3\right)\::\quad 6$

$=32+1+6$

$\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:32+1+6\::\quad 39$

$=39$

Therefore,

$4d^3+2e\div \:\:f+de=4\left(2\right)^3+2\left(3\right)\div \:6+\left(2\right)\left(3\right)=39$

7 0

4 years ago

If a square has an area of 1255 sq yards, what is the length of one of the sides of this square?

eimsori [14]

Answer: 35.4 yards

<u>Step-by-step explanation:</u>

Area of a square = s²

1255 = s²

35.4 = s

5 0

3 years ago

What is the solution?<br> A. 1.87<br> B. 1.61<br> C. 3.73<br> D. 1.13

quester [9]

Try A:
6^(2*1.87) = 813.365

Try B:
6^(2*1.61) = 320.366

Try C:
6^(2*3.73) = 638275.725

Try D:
6^(2*1.13) = 57.362

Which one seems like the best answer?

6 0

3 years ago