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ozzi
2 years ago
8

Use the prefix multipliers to express each measurement without any exponents. (Enter the number in the first blank and the units

in the second blank.). (a) 78.9 X 10^-13 g. . (b) 64.1 X 10^-10 L. . (c) 31.5 X 10^11 m. . (d) 80.7 X 10^-19
Mathematics
1 answer:
mash [69]2 years ago
8 0
Use different conversion factor to accomplish the task given above,
a. (78.9x10^-13 g) x (1 x 10^12 picogram/ 1 gram) = 7.89 pg
b. (6.41x10^-10 L) x (1 x 10^9 nanoliter / 1 L) = 0.641 nL
c. (3.15x10^11 m) x ( 1 x 10^-12 terameter / 1 meter) = Tm
d. (80 x10^-19) x (1 x10^18 atto / 1) = 8 atto
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The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th
Kryger [21]

Answer:

2.35 miles

Step-by-step explanation:

Please find the attachment for visual understanding.

We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.

To find distance between library and park we will add distance of library from school to the distance of park from school.

(1.75+0.6)\text{ miles}=2.35\text{ miles}  

Therefore, library is 2.35 miles away from park.  

7 0
2 years ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
2 years ago
On a coordinate plane, a cube root function goes through (negative 2.5, negative 3.5), crosses the y-axis at (0, negative 3), ha
mart [117]

Answer:

g(x) = \sqrt[3]{x-1} - 2

Step-by-step explanation:

We want to find h and k in:

g(x) = \sqrt[3]{x-h} + k

At the inflection point, the second derivative is equal to zero, so:

g'(x) = \frac{1}{3} (x-h)^{\frac{-2}{3}}

g''(x) = \frac{1}{3} \frac{-2}{3}(x-h)^{\frac{-5}{3}} = 0

Then x - h = 0.

Inflection point is located at (1, -2), replacing this x value we get:

1 - h = 0

h = 1

We know that the point (-2.5, -3.5) belongs to the function, so:

-3.5 = \sqrt[3]{-2.5-1} + k

k ≈ -2

All data, used or not, are shown in the picture attached.

4 0
2 years ago
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e
Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

6 0
2 years ago
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