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Arturiano [62]
1 year ago
15

Consider the following graph

Mathematics
1 answer:
DENIUS [597]1 year ago
7 0

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

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What is the value of x in the equation 3x-5=1/2x+2x
creativ13 [48]

Answer:

10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−5=

1

2

x+2x

3x+−5=

1

2

x+2x

3x−5=(

1

2

x+2x)(Combine Like Terms)

3x−5=

5

2

x

3x−5=

5

2

x

Step 2: Subtract 5/2x from both sides.

3x−5−

5

2

x=

5

2

x−

5

2

x

1

2

x−5=0

Step 3: Add 5 to both sides.

1

2

x−5+5=0+5

1

2

x=5

Step 4: Multiply both sides by 2.

2*(

1

2

x)=(2)*(5)

x=10

4 0
3 years ago
A water-tank has a base with dimensions 2 feet by 6 feet. If a cube with each side 1
Nadya [2.5K]
The increase of volume = volume of the cube = 1 cubic foot  =  1728 cu ins
Area of the base =  12 sq ft  = 12 * 144 =    1728  sq ins
The height of increase  =  1728 /  1728  = 1 inch Answer
7 0
3 years ago
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al
Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

5 0
3 years ago
What is the domain of the function shown in the table.
Darina [25.2K]

the domain is your x values so it is B

5 0
3 years ago
Read 2 more answers
5. The heights of 500 female students are measured, half of whom are college students and half of whom are second-grade students
AysviL [449]

Using statistical concepts, it is found that:

  • 2 modes would be expected for the distribution.
  • The distribution would be symmetric.

-------------------------------

  • Heights are traditionally normally distributed, which is a symmetric distribution.
  • Second-grade students are considerably shorter than college students, so there would be two modes.
  • Both distributions, for the height of second grade and of college students, are normal, which is symmetric, thus the combined distribution will also be symmetric.

A similar problem is given at brainly.com/question/13460485

4 0
2 years ago
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