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3 years ago

Given the following two points calculate the rate of change: (3,10) (7,10)

Mathematics

1 answer:

fomenos3 years ago

7 0

Answer:

The rate of change is zero

Step-by-step explanation:

When drawn on graph paper, the 2 points are horizontal (they have the same y-value). When plugging in values in the slope formula, (y2-y1)/(x2-x1) you will get 0/4, which is still zero.

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The equation y = 2.50x determines the total cost, y, of buying carnival tickets

statuscvo [17]

Step-by-step explanation:

The given equation or expression is used to determine the total cost of buying carnival tickets.

the total cost is y

Also from the expression the cost of a ticket is $2.5

and x represents the number of tickets

now say x=5, that is 5 tickets, then the cost of buying the 5 tickets is given as

y=2.5(5)

y=12.5

Hence the cost of 5 tickets is $12.5

4 0

3 years ago

A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel ba

Gennadij [26K]

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

5 0

2 years ago

Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for

Alex777 [14]

Answer:

$15x-8y+9z=88$

Step-by-step explanation:

We are given that

Equation of curves

$r_1(t)=$

$r_2(u)=$

Both curves lie on S.

We have to find the equation of tangent plane at P(4,1,4).

$r'_1(t)=,r'_2(u)=$

$r_1(0)=, r_2(1)=$

Hence, t=0 and u then it satisfied the given point.

Substitute the values in the derivatives

$r'_1(0)=,r'_2(1)=$

$r'_1(0)\times r'_2(1)=\times =$

The equation of tangent at point P(4,1,4) is given by

$30(x-4)-16(y-1)+18(z-4)=0$

$30x-120-16y+16+18z-72=0$

$30x-16y+18z=176$

$15x-8y+9z=88$

5 0

3 years ago

Which graph shows a proportional relationship between x and y??

Lena [83]

Answer:B

Step-by-step explanation:

B is has a proportional x and y value because they're increasing at the same rate which is 0

6 0

2 years ago

B. You have a recipe that indicates to use 7

Sonja [21]

Answer:

20 parts

Step-by-step explanation:

7:5

28:x

7*4=28, 5*4=20; x=20

28:20

6 0

2 years ago