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3 years ago

Determine if this relationship is proportional or non proportional. Explain.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

Proportional because the y continues to increase by two while the x continues to increase in intervals of 1

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Sean wants to go to a two day music festival at the end of summer. Tickets for the festival cost $190. How many lawns will Sean

nekit [7.7K]

Well how much money does he get from mowing a lawn? Divide 190 by that amount.

6 0

3 years ago

Please help with only the circled ones (1-8)

mixas84 [53]

When you have an exponent divided by another exponent, you subtract the exponents (only when it has the same base)

For example:

$\frac{x^8}{x^3} =x^{8-3}=x^5$

$\frac{x^3}{x^2} =x^{3-2}=x^{1}$

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive

For example:

$x^{-2}=\frac{1}{x^2}$

$\frac{1}{x^{-5}}=\frac{x^5}{1} = x^5$

$\frac{y^{-2}}{x^{-1}} =\frac{x^1}{y^2} =\frac{x}{y^2}$

1. $\frac{10^{15}}{10^3} =10^{15-3} = 10^{12}$

2. $\frac{(-3)^4}{(-3)^{-3}} =(-3)^{4-(-3)}=(-3)^{4+3} = (-3)^7$

3. $\frac{8}{8^3} =8^{1-3} = 8^{-2}=\frac{1}{8^2}$

4. $\frac{a^{12}}{a^2} =a^{12-2}=a^{10}$

5. $\frac{m^{-2}n^{16}}{m^{4}n^2} =(m^{-2-4})(n^{16-2})=(m^{-6})(n^{14})=\frac{n^{14}}{m^{6}}$

This is one of the ways you could have done it

6. $\frac{p^5q^{-10}}{p^6q^{-2}} =(p^{5-6})(q^{-10-(-2)})=(p^{-1})(q^{-8})=\frac{1}{p^1q^8} =\frac{1}{pq^8}$

7. $\frac{63x^{18}}{9x^{2} }$ Divide 63 and 9

$\frac{7x^{18}}{x^{2}} =(7)(x^{18-2})=(7)(x^{16})=7x^{16}$

8. $\frac{28r^4}{-7r^{15}} =(\frac{28}{-7} )(r^{4-15})=(-4)(r^{-11})=(-4)(\frac{1}{r^{11}} )=\frac{-4}{r^{11}}$

[More information with exponents]

If you multiply an exponent directly with another exponent, you multiply the exponents together

For example:

$(x^{2})^4=x^{2(4)}=x^8$

$(x^{3})^5 =x^{3(5)}=x^{15}$

If you multiply a variable with an exponent by a variable with an exponent, you add the exponents

For example:

$(x^{2}) (x^6)=x^{2+6}=x^8$

$(x^{3})(x^1)=x^{3+1}=x^4$

3 0

3 years ago

What is the dit between -4 and 6

Sindrei [870]

The difference is 2 , just -4 + 6 .

5 0

3 years ago

Read 2 more answers

Nicolet wants to buy a new state of the art computer for R35 000. She decides to save by depositing an amount of R500 once a mon

sineoko [7]

Answer:

54.72 months

Step-by-step explanation:

Given:

Future value = R35,000

Annuity = R500

Interest = 11.32% per year

Interest per month, r = $\frac{11.32}{12}$ = 0.943% = 0.00943

Let 'n' be the total time in months taken

Now,

Future value of annuity is calculated using the formula as:

$\textup{Future value}=\textup{Annuity}\times[\frac{(1+r)^n-1}{r}]$

on substituting the respective values, we get

$35000=500\times[\frac{(1+0.00943)^n-1}{0.00943}]$

$70=[\frac{(1.00943)^n-1}{0.00943}]$

1.6601 = 1.00943ⁿ

taking log both sides, we get

log(1.6601) = n × log(1.00943)

0.22= n × 0.00402

n = 54.72 months

8 0

3 years ago

Suppose that a researcher wanted to measure the federal government's efforts to make the education of its citizens a priority. T

Vitek1552 [10]

Answer:

Step-by-step explanation:

STRENGTHS

1) Budget is a major pointer to a government's commitment in a particular sector. Money allocated for education versus the %GDP will definitely show if education is a priority for the government or not.

WEAKNESSES

1) The major player, (the citizens) is not the determinant in this measure.

2) Without knowing the actual number or estimate of those who would be captured in this budget it may be impossible to know if education was really the priority of the government. Let's say (X) number of persons will benefit from the education budget, if X is unknown then planning would be on assumptions.

3) Budget alone is not sufficient in determining the commitment of the government in a sector. Laws, policies as well play a huge role and in this research laws,and policies are not part of the determining indices.

6 0

3 years ago