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3 years ago

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

Mathematics

1 answer:

guapka [62]3 years ago

4 0

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

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A cylinder has a base radius of 5 inches and a height of 6 inches. What is its volume in cubic inches, to the nearest tenths pla

yuradex [85]

Answer:

V≈471.24

or to the nearest tenth is

471.2

7 0

3 years ago

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La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos

egoroff_w [7]

Answer:

La cantidad de litros que ocupa dicho líquido es:

2,12 Litros

Step-by-step explanation:

El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:

Densidad = masa / volumen

Al despejar volumen se obtiene:

Volumen = masa / densidad

Por lo cual, si se reemplazara la fórmula quedaría:

Volumen = 7 Lb / 1.5 gr/cm^3

Sin embargo, para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:

1 libra = 453,592 gramos

Entonces:

7 lb = 453,592 gr * 7 = 3175,144 gr

Ahora este valor reemplaza la masa en la fórmula y calculamos:

Volumen del líquido = 3175,144 gr / 1.5 gr/cm^3

Volumen del líquido = 2116,762667 cm^3 (He utilizado todos los decimales para obtener el resultado exacto).

A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:

1 litro = 1000 centímetros cúbicos.

Ahora podemos aplicar una regla de tres simple, si:

1000 cm^3 = 1 L
2116,762667 cm^3 = x

Y operamos:

x = (2116,762667 cm^3 * 1 L) / 1000 cm^3
x = 2,116762667 L

O si quieres un valor aproximado:

x = 2,12 Litros.

Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es 2,12 litros.

8 0

3 years ago

Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 102

Furkat [3]

Answer: A) is the right answer. $6.9\times10^{5}$

Step-by-step explanation:

Given product : $2.3\times10^{-3}\times3\times10^8$

To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.

$2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}$

Thus, the answer is $6.9\times10^{5}$ .

8 0

3 years ago

A savings and loan association needs information concerning the checking account balances of its local customers. A random sampl

Marina86 [1]

Answer:

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.0123

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.0123\frac{279.29}{\sqrt{14}} = 224.85$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 664.14 - 224.85 = $439.29

The upper end of the interval is the sample mean added to M. So it is 664.14 + 224.85 = $888.99.

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

4 0

3 years ago

Find the arithmetic mean of the sales per day in a fair price shop in a week.

BabaBlast [244]

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

4 0

3 years ago

Read 2 more answers