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3 years ago

1. Use the table and the graph to answer the questions.

Mathematics

1 answer:

sveticcg [70]3 years ago

7 0

(a) The rate of change for Function 1 is -2.
The rate of change for Function 2 is -4.
(b) Function 2 has the greater rate of change because -4 is decreasing at a greater rate.

Hope this helps.

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"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe

marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

$\hat y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

$\hat y=3.73 +0.88 x$

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

$\hat y=3.73 +0.88 x$

$=3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33$

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0

4 years ago

Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the cor

poizon [28]

Answer:

Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)

also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put

4 0

3 years ago

Read 2 more answers

The total surface area of this cuboid is 112cm^2. Find the value of x.

Oxana [17]

Answer:

The value of x is 3

Step-by-step explanation:

Let us study the face of the cuboind

∵ The cuboid has 6 rectangular faces

∵ Each opposite faces area equal in areas

∴ 2 faces of dimensions 10 cm and 2 cm

∴ 2 faces of dimensions 10 cm and x cm

∴ 2 faces of dimensions 2 cm and x cm

∵ The total surface area of the cuboid is the sum of the areas of the 6 faces

∵ The area of the rectangle = length × width

∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)

∴ The total surface area = 2(20) + 2(10x) + 2(2x)

∴ The total surface area = 40 + 20x + 4x

→ Add the like terms 20x and 4x

∴ The total surface area = 40 + 24x

∵ The total surface area of this cuboid is 112 cm²

→ Equate the two sides of the total surface area

∴ 40 + 24x = 112

→ Subtract 40 from both sides

∵ 40 - 40 + 24x = 112 - 40

∴ 24x = 72

→ Divide both sides by 24

∴ x = 3

∴ The value of x is 3

7 0

3 years ago

Read 2 more answers

In the equation y=ab^(x-h) +k how does the value of k affect the graph

Ainat [17]

Answer:

if k > 0 then the graph of the given equation will get shifted upward by k units.

if k< 0 then the graph of the given equation will get shifted downward by k units.

Step-by-step explanation:

We have been given the equation y=ab^(x-h) +k and we have to state that how the value of k affect the graph.

We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.

In other words, the parent graph either get shifted upward or downward depends on the value of the constant.

Therefore, we have

if k > 0 then the graph of the given equation will get shifted upward by k units.

if k< 0 then the graph of the given equation will get shifted downward by k units.

3 0

4 years ago

Read 2 more answers

Exercice 2: Un remorqueur tire un bateau à la vitesse de 10 noeuds. La tension du câble est de 2500N, Le câble est parallèle à l

Elza [17]

Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

5 0

3 years ago