Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

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Work Shown:

Let's cross multiply to get the following

14/20 = 56/x

14*x = 20*56

14x = 1120

x = 1120/14

x = 80

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As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.

your answer will be 80 pretty sure

Answer:

.56

Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

x+95=4x-10

Subtract x on both sides

95=3x-10

Add x on both sides

105 = 3x

x=35

Hope this helps plz hit the crown :D

Answer:

x = 35

Step-by-step explanation:

(x + 95) = (4x - 10)             get rid of the parentheses

x + 95 = 4x - 10                 put the x's together and put your constants together

105 = 3x                            divide 3 from both sides

35 = x

Hope this helps

Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

y=mx+b

67.5=3.75(6)+b

b=45 so membership fee is $45

Answer:

zero

Step-by-step explanation:

Answer:The answer is 0

Step-by-step explanation: Sorry i didn't explain it.

The given expression is :

2xx+3-5(x-2)

We know that, [tex]x{\cdot}x=x^2[/tex]

[tex]=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10[/tex]

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

Answer:

D.  y = -6x + 38

Step-by-step explanation:

Equation of a sequence

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

[tex]a_x=a_1+(x-1).r[/tex]

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D.   y = -6x + 38

Answer:

E - Chi-Square Test of Independence

Step-by-step explanation:

- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.

-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.

-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.

- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.

-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.

From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.

This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.

Answer:

A chi-square test of independence

Step-by-step explanation:

colllege board

Answer:

exponential decay

Step-by-step explanation:

anything less than 1 in the parenthesis is decay

Answer:

nine and two fifths(  9 2/5 )

Step-by-step explanation:

i used a fraction calclulator

Answer:9.4

Step-by-step explanation:

Answer:

24m^2+50m-14

Step-by-step explanation:

Answer:

We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)

Step-by-step explanation:

Group aged  18 - 34

Sample size n₁  =  655  sample size enough to apply a normal distribution aproximation for the test

p₁ = 0,45      and   q₁ =  1 - p₁      q₁ = 0,55

p₁*n₁  =  0,45*655 = 294     q₁*n₁  = 0,55*655 = 360

both bigger than 5

p₁  = 45 %     or     p₁  = 0,45          then  q₁  = 1 - 0,45    q₁ = 0,55

Group aged 35 - 44

Sample size  n₂  =  420 sample size enough to apply a normal distribution aproximation for the test

p₂  =  37%   p₂ = 0,37     and    q₂  = 0,63

p₂*n₂  =  0, 37*420 =  155     q₁*n₁  = 0,63*420 = 264

Test Hypothesis

Null Hypothesis        H₀                                             p₁  =  p₂

Alternative Hypothesis Hₐ                                        p₁  >  p₂

Significance level    α  =  1%   α  = 0,01

Confidence Interval     CI = 99 %

Then   from z table  we find   critical z   z (c )  = 3,1

Calculating   z(s)

z(s)  =  (  p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]

z(s ) = (0,45 - 0,37 ) /  √ 0,45*0,55)/655  +  0,37*0,63 /420

z(s)  = 0,08  /0,03

z(s) = 2,66

Comparing  z(s)  and z(c)

z(s) < z(c)

Then z (s) is inside the acceptance region for H₀

Answer:

c

the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV

Answer:

Given - Twice a no. is 42 less than 5 times a no.

To find - The no.

Solution -

According to the question the equation made is -

2x = 5x - 42

2x - 5x = (-42)

(-3x) = (-42)

x= (-42)/(-3)

x = 14

The no. is 14

Answer:

she drive 65 miles Per hour

Answer:

if she drive for two more hours that means she drove 4 hours and plus 130 plus 130 and that will equal 260. so the answeris 260.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y la pregunta?

Answer:

320

Step-by-step explanation:

32 bottles  in 6 minutes add a 0 so you get 320 bottles in 60 minuts.

Answer:

D 320

Step-by-step explanation:

Since 60 minutes is 10 times 6 minutes, the machine can make 10 time more water bottles in 60 minutes than it can make is 6 minutes.

10 * 32 = 320

Answer: D 320

You can also solve by using a proportion.

32/6 = x/60

6x = 60 * 32

Divide both sides by 6.

x = 10 * 32

x = 320

Answer: D 320

Answer:

The Inverse Tangent Function (arctan)

Graph of y = tan x.

The graph of arctan(x) is second graph.

We have inverse function [tex]y=tan^{-1} x[/tex]

Creating the table

x     0   π/4    π/2     -π/2     -π/3      π/3

y     0   1         ∞        -∞       -√3       √3

From the given graphs we see that the second graph satisfies the values.

So, the correct graph for arctan(x) is second graph.

Learn more:https://brainly.com/question/2849972

Hello!

[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]

Recall that:

[tex]logx[/tex] can be rewritten as:

[tex]log_{10}x[/tex]

Use the equation for the derivative of a log expression:

[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]

Substitute in the values in the expression:

[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]

Answer:

The cosine function forms a wave that starts from the point (0,1) cos θ = 0 when θ = 90˚, 270˚. Maximum value of cos θ is 1 when θ = 0˚, 360˚.

Step-by-step explanation:

Answer:

-x.(3x^2+4)

Step-by-step explanation:

Brain-list?

Answer:

-3(-1)^3-4(-1)= 27+4=31

Step-by-step explanation:-3 and -1 when you multiply both minus will change into plus. same for -4 and -1 when you multiply will change the signs. so you will get 27+4=31

Answer:

Can you please provide the table so I can know the numbers.

Step-by-step explanation:

Thank you

Answer:

plss stop english plss lang po

he

Answer: A

Step-by-step explanation:

1000 = 500e^(2x)

2 = e^(2x)

ln2 = 2x

Step-by-step explanation:

1000 = 500e^(2x)

2 = e^(2x)

ln2 = 2x

x = ln2 / 2. (A)

Answer:

m < 1 = 72

Step-by-step explanation:

Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.

In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.

Therefore, m < 3 = m < 1, and since it's given that  m < 3 = 72, we know that m < 1 = 72 too.

Answer:

An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds

Answer:

1) Obtuse

2) Acute

3) Acute

Step-by-step explanation:

Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.

Please Brainiest!

Answer:

option A 9/15

im srry i suck at math