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4 years ago

1. Scientific Notation and Percent. (Based on the ideas in Objective 1 and Objective 4.) 6 points

Mathematics

1 answer:

vlabodo [156]4 years ago

7 0

Answer: $1.715*10^{12}$ skin cells were not burned.

Step-by-step explanation:

<h3><u> The complete exercise is: Two percent of Sennie's skin cells were burned when she escaped from a fire. If $3.5*10^{10}$ of her skin cells were burned then, how many skin cells were not burned?</u></h3><h3 />

Let be "x" the number of Sennie's skin cells that were not burned when she escaped from the fire.

According the the data given in the exercise, you know that 2% represents $3.5*10^{10}$ of Sennie's skin cells that were burned. This means that the percent of her skin cells that were not burned is:

$100\%-2\%=98\%$

With this information you can write the following proportion:

$\frac{3.5*10^{10}}{2}=\frac{x}{98}$

Solving for "x", you get:

$(98)(\frac{3.5*10^{10}}{2})=x\\\\x=171.5*10^{10}$

To express the result in Scientific notation, the decimal point must be after the first digit; then you must move the decimal point two places to the left:

$x=1.715*10^{12}$

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Ksivusya [100]

Answer:

150°

Step-by-step explanation:

take 180°, and subtract it from 30°

180°-30°= 150°

hope i helped! let me know if you get it right :)

3 0

3 years ago

The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled

GREYUIT [131]

Answer:

Step-by-step explanation:

The key to solving this question is to find the distance bwtween the two points given

distance=y2-y1/x2-x1

(2,4)(4,8)

2=x1,4=y1

4=x2

8=y2

8-4/4-2

4/2=2

The depth of the water is increasing by 2 ft each minute

8 0

3 years ago

Find the values of the pronumerals in this diagram. Write down the reason in each case.

timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0

3 years ago

Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Ped

fredd [130]

Maybe 7.36 set up a proportion

4 0

3 years ago

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random

Pavlova-9 [17]

Answer:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

Step-by-step explanation:

The data given is:

x: 5,5,510,10,10, 15,15,15, 20,20,20

y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 150$

$\sum_{i=1}^n y_i =28.5$

$\sum_{i=1}^n x^2_i =2250$

$\sum_{i=1}^n y^2_i =70.69$

$\sum_{i=1}^n x_i y_i =384$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2250-\frac{150^2}{12}=375$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=384-\frac{150*28.5}{12}=27.75$

And the slope would be:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

8 0

3 years ago