What is 42:63 in the simplest ratio

Answers

Answer 1

Answer: 2:3 is the answer. Divide both sides by 21. Just find the GCF.
Hope that helped you.

Answer 2

Answer: 2:3 is the answer...........

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A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.
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Pam deposited $890 in a savings account, with three percent simple interest. How much interest will she earn in five years? 1.) 26.70
2.) 133.50
3.) 103.30
4.) 96.33

Answers

The answer is option 2. Pam will earn an interest of $133.50 from his savings account of $890 with an interest of 3%. Simple interest, also known as flat rate interest, is an interest to be paid or earned each year having a fixed percentage from a principal amount. It is calculated as follows:
$890 x .03 x 5 = $133.50

The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

Learn more about Mathematical functions here:

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Writing a recursive formula.. 16, 10, 7, 5.5, 4.75...
I know a1 is 16.
But what is the formula? Help. Lol

Answers

The recursiveformula for the sequence is:

an = 24/(2ⁿ)+ 4, for n > 1

What is a sequence?

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

To find the recursive formula for the sequence 16, 10, 7, 5.5, 4.75..., we need to find the rule that generates each term based on the previous terms.

That is:

a1 = 24/2¹ + 4 = 12 + 4 = 16

a2 = 24/2² + 4 = 6 + 4 = 10

a3 = 24/2³ +4 = 3 + 4 =7

a4 = 24/2⁴ + 4 = 5.5

a5 = 24/2⁵ + 4 = 4.75

We can see that the formula for the sequence is:

a1 = 16

an = 24/(2ⁿ)+ 4, for n > 1

Therefore, the recursive formula for the sequence is:

an = 24/(2ⁿ)+ 4, for n > 1

where a1 is the first term, and each subsequent term is obtained by dividing 24 with the previous term by 2ⁿ and then adding 4.

To learn more about the sequence;

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$a_1=(24)/(2^1)+4=16\n\na_2=(24)/(2^2)+4=10\n\na_3=(24)/(2^3)+4=7\n\na_4=(24)/(2^4)+4=5.5\n\na_5=(24)/(2^5)+4=4.75\n\na_6=(24)/(2^6)+4=4.375\n\vdots\na_n=(24)/(2^n)+4$

A system of equations has no solution.If y=8x +7 is one of the equations,which could be the other equation has no solution.If y=8x +7 is one of the equations,which could be the other equation

Answers

Answer:

The other line is y= 8x - 7

Step-by-step explanation:

The given equation in two variable is

y= 8x ± 7

The two equations in two variables are:

Ax + By +C=0

P x + Q y +R=0

Now, the condition that these two equations has no solution is if;

A/P = B/Q ≠ P/R

Another condition is in terms of line , if the two lines have same slope.

For example, y= ax + b and , y = ax + p are two lines having same slope means they are parallel, that is they will never intersect.

If the line is , y = 8x + 7, the other line will be, y= 8x - 7

Answer: Y = 8X - 7

Step-by-step explanation:

A system of equations with no solution, means the two lines are parallel to each other.

If parallel to each other, they will have common gradient but different intercept.

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot? A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet