Write the number 0.00000095218 using scientific notation.

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,

san4es73 [151]

Victoria's method is linear because the number of minutes increase by an equal number (15) every month.

Workings in the attachments below. The green line is the function that has been set up for Victoria. The lines that form a curved looking graph belong to the function that was set up for Zach.

8 0

3 years ago

Triangle ABC is the pre-image and Triangle ADE is the image. What transformation took place?

adelina 88 [10]

Answer:

translation...........

5 0

2 years ago

Read 2 more answers

If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent

Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven

In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not.

This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics:

They are presumed true by most of the scholars in the field.

Its contradiction goes against the very essence of the subject.

Postulate 6: If two planes intersect, then their intersection is a line.

See Attachment for Details ^^

The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)

Therefore,

The Geometry term that represents the statement above is POSTULATE

5 0

2 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as: