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elixir [45]
3 years ago
13

Graph the equation on the coordinate plane. y = 4x

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
Since it’s linear, find 3 points
(0,0), (2,8), (3,12)
Plot these points and draw a line through them.
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Please help 15 points will give brainliest
torisob [31]

Answer:

Step-by-step explanation:

m∠1 = 3 times of m∠2

m∠2 = (1/3) times of ∠1

        = \dfrac{1}{3}*72\\\\= 24

m∠2 = 24°

6 0
3 years ago
How do I fill in the percentages?
ra1l [238]

<em>All Answers Under </em><em>Other Answers:</em>

Explanation:

First, you need to add all of the numbers to find the total budget. The total budget is <u>$1,116.</u> Then, to find the percentages, you need to divide each sections' money by the budget. For example, for 'contributions', you will do $175.76/$1,116 and get 0.157. But, this is a decimal. To make it into a percentage, you move the decimal point 2 spaces to the right. .157 = 15.7% So, for the 'contributions' section, the answer is 15.7%. Another example. For the 'housing' section,  the amount was $350.84. Divide that by $1,116.

\frac{350.84}{1,116}=0.314

Move the decimal point <em>2 spaces to the right</em> -- 31.4%

<u>I hope you understand how I got these answers</u>

<em>Other Answers:</em>

Transportation: 4.5%

Clothing: 2.7%

Medical Expenses: 3.1%

Food: 17.9%

Taxes: 9.5%

Miscellaneous: 15.1%

8 0
3 years ago
Find the sum of the positive integers less than 200 which are not multiples of 4 and 7​
taurus [48]

Answer:

12942 is the sum of positive integers between 1 (inclusive) and 199 (inclusive) that are not multiples of 4 and not multiples 7.

Step-by-step explanation:

For an arithmetic series with:

  • a_1 as the first term,
  • a_n as the last term, and
  • d as the common difference,

there would be \displaystyle \left(\frac{a_n - a_1}{d} + 1\right) terms, where as the sum would be \displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n).

Positive integers between 1 (inclusive) and 199 (inclusive) include:

1,\, 2,\, \dots,\, 199.

The common difference of this arithmetic series is 1. There would be (199 - 1) + 1 = 199 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}.

Similarly, positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 4 include:

4,\, 8,\, \dots,\, 196.

The common difference of this arithmetic series is 4. There would be (196 - 4) / 4 + 1 = 49 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 7 include:

7,\, 14,\, \dots,\, 196.

The common difference of this arithmetic series is 7. There would be (196 - 7) / 7 + 1 = 28 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 28 (integers that are both multiples of 4 and multiples of 7) include:

28,\, 56,\, \dots,\, 196.

The common difference of this arithmetic series is 28. There would be (196 - 28) / 28 + 1 = 7 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}.

The requested sum will be equal to:

  • the sum of all integers from 1 to 199,
  • minus the sum of all integer multiples of 4 between 1\! and 199\!, and the sum integer multiples of 7 between 1 and 199,
  • plus the sum of all integer multiples of 28 between 1 and 199- these numbers were subtracted twice in the previous step and should be added back to the sum once.

That is:

19900 - 4900 - 2842 + 784 = 12942.

8 0
3 years ago
Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong
zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

3 0
2 years ago
N³+2n is divisible by3​
Ludmilka [50]

Answer: Watch explanations

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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