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lozanna [386]
2 years ago
4

Help in math and explain possibly? (THIS IS MATH NOT HISTORY) John Muir was an American naturalist born in Scotland on April 21,

1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 355,665.024 meters of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.
The longest straight line distance across the United States of 4,509.382 kilometers begins in Ocean Creek, Oregon and ends in Jupiter, Florida. Use scientific notation to calculate how many times greater the straight line distance across the Uni
Mathematics
2 answers:
vova2212 [387]2 years ago
8 0

Answer:

1.268 ∙ 10^1

hope that kinda helps

:D

GaryK [48]2 years ago
6 0
Important parts are the
4509.382KM and the 355665.024M
Notice that 4509 IS a smaller number, but KM is 1000x bigger than a meter, so it's actually, in meters,
4,509,382M

The end of your question is cut off so it's hard to answer but I think it's asking how much longer 4509 is in scientific notation compared to the 355665 meters.

3.55665 x 10^5 is 355665 meters
And as you can see, when comparing the two,
4.509382 x 10^6 the 4509 has one power higher than the other, 5.

10^6 means 1,000,000 (one million)
And 10^5 means 100,000 (100 thousand) 10^6 is ten times bigger than 10^5, and you can conclude that the 4509 is bigger because of comparing the two with scientific notation like this
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Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
blagie [28]
<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

7 0
2 years ago
Raina is on the swim team. Each day she swims 750m . How far does she swim in 5 days?
Sav [38]

1 day = 750 m

1 * 7 = 750 * 7

7 days = 5250 m

Now, since 1 km = 1000 m, this means in order to convert from meters to kilometers you must divide by 1000

5250 / 1000

= 5.25 km

Or, you could do the hard way by going to wolfram alpha / google and typing 5250 m to km.

Hope this helps!

8 0
2 years ago
Read 2 more answers
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?
Yuliya22 [10]

Answer:

16x^{2}y^{2}-24xyz+9z^2

It is a perfect square trinomial.

Step-by-step explanation:

The square of a binomial can be solved like this:

(a+b)^2=a^2+2ab+b^2

We have the expression:

(4xy-3z)^2

Then, we consider a and b as:

a=4xy\\ b=-3z

The solution would be:

a^2=(4xy)^2=4^2x^2y^2=16x^2y^2

b^2=(-3z)^2=(-3)^2z^2=9z^2

2ab=2(4xy)(-3z)=-24xyz

(4xy-3z)^2=16x^2y^2-24xyz+9z^2

8 0
2 years ago
Read 2 more answers
The equation x2 16 + y2 9 = 1 defines an ellipse, which is graphed above. in this excercise we will approximate the area of this
Citrus2011 [14]
(a) 4 
(b) y = sqrt(9 - (9/16)x^2)  
The best guess to the formula using knowledge of the general formula for an ellipse is: 
x^2/16 + y^2/9 = 1  
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct. 
 (b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
 x^2/16 + y^2/9 = 1
 x^2/16 + y^2/9 - 1 = 0
 x^2/16 - 1 = - y^2/9
 -(9/16)x^2 + 9 = y^2
 9 - (9/16)x^2 = y^2
 sqrt(9 - (9/16)x^2) = y
 y = sqrt(9 - (9/16)x^2)
4 0
2 years ago
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