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castortr0y [4]
1 year ago
7

Show all the stepsx: 3, 9, 13, 20y: 9, 27, 39, 60State whether the relationship between the variables in the table is a direct v

ariation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it.
Mathematics
1 answer:
a_sh-v [17]1 year ago
6 0

By looking at the table, we can see that the y values are equal to the x values multiplied by 3.

3x = 3*3 = 9

3x =3*9 = 27

3x=3*13=39

3x= 3*20= 60

So, it is a direct variation and the function is y=3x

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Lisa wants to buy material for her dress. If she buys 7metres, she is 1 dollar short. If she buys 5metres, 5 dollars is left ove
Ede4ka [16]

Answer:

She has 15 dollar.

Explanation

If every meter costs 2 dollars, then 5 meter would cost 10 dollars and 7 meter would cost 14 dollar. Now we take a number when subtracted from 10, we get 5 dollar and when the same number subtracted from 14 we get 1 dollar left. Now if we take 15 dollar, you'll see that when you subtract 10 from it you get 5 dollar and when you subtract 14 from it you get 1 dollar. Therefore 15 satisfies the given condition in the question.

$15 - $10 = $5

$15 - $14 = $1

4 0
3 years ago
What is the solution to this inequality?
Snezhnost [94]

Answer:

  • \boxed{\sf{D. \quad x < 3}}

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

<h3>-4x-8>-20</h3>

<u>First, add by 8 from both sides.</u>

\sf{-4x-8+8 > -20+8}

<u>Solve.</u>

-20+8=-12

<u>Rewrite the problem down.</u>

\sf{-4x > -12}

<u>Multiply by -1 from both sides.</u>

(-4x)(-1)<(-12)(-1)

<u>Solve.</u>

<u>Multiply the numbers from left to right.</u>

(-12)(-1)=12

4x<12

<u>Divide by 4 from both sides.</u>

4x/4<12/4

<u>Solve.</u>


<u>Divide the numbers from left to right.</u>

12/4=3

<u>x<3</u>

  • <u>Therefore, the correct answer is D. x<3 (last option).</u>

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
Read 2 more answers
Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

  • r = 3
  • m∠1  = 82°
  • m∠2 = 49°
  • x = 82°

<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

  • <u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

  • <u>m∠1  = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

  • <u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

  • <u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

4 0
2 years ago
Which relationships describe angles 1 and 2?
Usimov [2.4K]
Complementary angles

Explanation:
Completely angles are two angles that equal 90°
This is a perfect example of that
6 0
3 years ago
Pschological tests are often used to determine the hostility levels in people. High scores on the HLT pschological test correspo
algol13

Answer:  the correct answer is we are 95% confident that there is no statistically significant difference in the mean treatment  methods for hostility.  

Step-by-step explanation:

1)  Test for the equality of variances in the two groups to choose the appropriate t-test.  

H0: σ (1)^2 = σ (2)^2  

Ha: σ (1)^2 ≠ σ (2)^2  

Larger variance = 64  

Smaller variance = 49  

F = 1.30612  

Degrees of freedom 15 and 9  

Critical F from the table (with alpha=0.05) = 2.58  

Calculated F is smaller than critical F, so we use the pooled variance t-test.  

Sample 1 size 7  

Sample 2 size 8  

Sample 1 mean 79  

Sample 2 mean 84  

Sample 1 S.D. 7  

Sample 2 S.D. 8  

Pooled S.D = [(n1-1)s1^2+(n2-1)s2^2]/(n1+n2-2)

Pooled variance s = [(6)(49)+(7)(64))] / (13) =  (294+448)/13=742/13=57.076923

Pooled variance s^2 = 57.076923  

Standard error of difference in means = sqrt(1/n1+1/n2) times sqrt(s^2)  

Standard error of difference in means = (0.517549)(7.554927) = 3.910046 (denominator of t)  

Confidence interval = (mean1-mean2) +/- t SE  

t is the critical t with 24 degrees of freedom = 2.056  

(79 - 84) +/- (2.056) (3.910046)  

= (-13.04, 3.04)  

Interval encloses 0  

We are 95% confident that there is no statistically significant difference in the mean treatment  methods for hostility.  

4 0
3 years ago
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