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4 years ago

I need help with number 7 too.

Mathematics

2 answers:

insens350 [35]4 years ago

4 0

Answer: Heres the screenshot

Step-by-step explanation:

eimsori [14]4 years ago

3 0

Answer:

Look Below

Step-by-step explanation:

m<1 could be 30

m<2 could be 60

m<3 could be 30

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4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara

Galina-37 [17]

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z = tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

6 0

3 years ago

Una poblacion es atacada por una epidemia de gripe sea N(t)= numero de personas enfermas al tiempo t. En dias la epidemia inicio

Lisa [10]

Answer:

<em>Habrán 10175 enfermos a los 15 dias.</em>

Step-by-step explanation:

La tasa de cambio de la población enferma por la epidemia de gripe es:

$N'(t)=120t-3t^2$

Donde t es el tiempo en dias, y se sabe que la epidemia inició en N(0)=50.

Para encontrar la función original que describe el comportamiento de la epidemia, debemos integrar la función:

$N(t)=\int N'(t)dt$

$N(t)=\int (120t-3t^2)dt$

Integrando:

$\displaystyle N(t)=120\frac{t^2}{2}-3\frac{t^3}{3}+C$

Simplificando:

$\displaystyle N(t)=60t^2-t^3+C$

Para determinar el valor de C, usamos la condición inicial N(0)=50:

$\displaystyle 50=60(0)^2-(0)^3+C$

Se tiene que C=50, y la función queda determinada como:

$\displaystyle N(t)=60t^2-t^3+50$

b) El número de enfermos a los t=15 dias se determina substituyendo el valor en la función original:

$\displaystyle N(15)=60(15)^2-(15)^3+50$

Calculando:

$N(15)=13500-3375+50=10175$

Habrán 10175 enfermos a los 15 dias.

8 0

3 years ago

The caloric density of foods is a useful tool when comparing calorie counts. The table shows typical serving sizes for several f

mezya [45]

Answer:

Medium apple < Large hard boiled egg < raisins < cheddar cheese

Step-by-step explanation:

1. Cubic inch cheddar cheese ;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 69 / 17 = 4.0588cal/g

approximately 4.1cal/g

2. Large hard boiled egg;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 78 / 50 = 1.56cal/g, approximately 1.6cal/g.

3. Medium apple;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 72 / 138 = 0.52cal/g

4. Raisins;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 129 / 43 = 3cal/g

The foods with the lowest density to the highest is,

Medium apple < Large hard boiled egg < raisins < cheddar cheese

6 0

3 years ago

The low temperature last month was<br> -5˚F. What is the absolute value of -5?

solong [7]

5

The reason is because |-5| is equal to 5. The absolute value bars make the number positive.

4 0

3 years ago

All square numbers ends with ---------------------------- at units place . please find answer

nexus9112 [7]

Hello

All square numbers ends with 0,1,4,5,6 or 9 at units place.

4 0

3 years ago