All categories

3 years ago

Help me with this

2 answers:

3 0

If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.

soldier1979 [14.2K]3 years ago

3 0

H(c)=6.4+0.6c

6.4 is the constant

When the height of the cups is 18.4 the function is:

18.4=6.4+0.6c

Then you subtract 6.4 from both sides to get:

18.4-6.4=6.4+0.6c-6.4

12=0.6c

c=12/.6

c=20

You might be interested in

If the sales tax rate is 7.375% in new york state then how much sales tax would you pay in albany for a $34 pair of pants

nataly862011 [7]

Answer:

2.5075.

Step-by-step explanation:

7 0

3 years ago

Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 tim

Kamila [148]

Question:

Select the three expressions that are equivalent to $6^2$ :

a: $(\frac{6^9}{6^8})^2$

b: $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$

c: $\frac{6^4}{6^2}$

d: $\frac{6^5 * 6^7}{6^{10}}$

Answer:

a: $(\frac{6^9}{6^8})^2$

c: $\frac{6^4}{6^2}$

d: $\frac{6^5 * 6^7}{6^{10}}$

Step-by-step explanation:

Given

$6^2$ :

Required

Find equivalent expressions

<em>To solve this question; we'll simplify options a to do, one after the other</em>

a: $(\frac{6^9}{6^8})^2$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that;

$(\frac{6^9}{6^8})^2 = (6^{9-8})^2$

$(\frac{6^9}{6^8})^2 = (6^{1})^2$

From laws of indices;

${a^m}^n = a^{m*n} = a^{mn}$

This implies that

$(\frac{6^9}{6^8})^2 = (6^{1*2})$

$(\frac{6^9}{6^8})^2 = 6^{2}$

Hence, $(\frac{6^9}{6^8})^2$ is equivalent to $6^2$

b. $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$

From laws of indices;

$a^m * a^n = a^{m+n}$

This implies that

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}$

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}$

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}$

Hence; $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$ is not equivalent to $6^2$

c. $\frac{6^4}{6^2}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6^4}{6^2} = 6^{4-2}$

$\frac{6^4}{6^2} = 6^{2}$

Hence, $\frac{6^4}{6^2}$ is equivalent to $6^2$

d. $\frac{6^5 * 6^7}{6^{10}}$

From laws of indices;

$a^m * a^n = a^{m+n}$

This implies that

$\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}$

$\frac{6^5 * 6^7}{6^{10}} = 6^{2}$

Hence, $\frac{6^5 * 6^7}{6^{10}}$ is equivalent to $6^2$

3 0

3 years ago

Read 2 more answers

Simplify the complex number i^39 as much as possible.

viva [34]

Heres the answerrrr : -i

7 0

3 years ago

When you divide a unit fraction by a whole number number, will the quotient be greater than or less than the unit fraction?

Salsk061 [2.6K]

Answer:

it will be less than

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Divide 54kg in the ratio 1:5

insens350 [35]

Answer:

54 can be divided into 45 and 9

Step-by-step explanation:

add 1+5=6

therefore 1/6*54=9

5/6*54=45

5 0

3 years ago