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3 years ago

I need help with this one question.

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

answer a

Step-by-step explanation:

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Determine whether y varies with x. If so, find the constant of variation and write the function rule.

ira [324]

Answer: Yes, y does vary directly with x.

Constant of variation = 1/4

The function rule is y = (1/4)x

=========================================================

Explanation:

Let's assume that y does vary directly with x.

If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.

Solving for k gets us k = y/x

For each row, divide the y value over the x value

row one: k = y/x = 14/56 = 0.25
row two: k = y/x = 20/80 = 0.25
row three: k = y/x = 22/88 = 0.25

Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.

So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x

6 0

1 year ago

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

Bess [88]

Hello :
the <span>coordinates </span> circumcenter for ∆DEF :
x = (1+7+1)/3
y = (1+1+5//3
x=3
y= 7/3

6 0

3 years ago

Help pls helpppp me plssssssssssss

AleksAgata [21]

5.C
6.D
I hope you get it correct

6 0

2 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Oliga [24]

Answer:

no of sample within two percentage points is 5409

no of sample not use prior estimates is 8321

Step-by-step explanation:

Given data

E = 2% = 0.02

male m = 21.2 % = 0.212

female f = 19.7 % = 0.197

to find out

no of sample within two percentage points and if does not use any prior estimates

solution

first we calculate no of sample within two percentage points

we know Z critical value for 99% is 2.58

so no of sample will be

n = (Z / E )² × m(1-m) + f ( 1-f )

put all the value we get no of sample

n = (2.58 / 0.02 )² × 0.212 ( 1 - 0.212 ) + 0.197 ( 1 - 0.197 )

n = 16641 ×0.3250

no of sample within two percentage points is 5409

in 2nd part no of sample not use prior estimates

here than f and m will be 0.5

than

n = (Z / E )² × m(1-m) + f ( 1-f )

put all value

n = (2.58 / 0.02 )² × 0.5 ( 1 - 0.5 ) + 0.5 ( 1 - 0.5 )

n = 16641 × 0.5

no of sample not use prior estimates is 8321

7 0

2 years ago

State what additional information is required in order to know that the triangles are congruent by SAS

zalisa [80]

<h3>You are correct. The answer is the second choice.</h3>

BC = JC by the single tickmarks shown

CD = CD because of the reflexive property

The angles between these two pairs of sides, that you've marked in the second answer choice, are needed to use SAS (side angle side).

See the diagram below. In the diagram, angle BCD (green) is between segments BC and CD. Also, angle JCD (blue) is between JC and CD.

3 0

3 years ago