MATHEMATICS HIGH SCHOOL

Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week. Which equation will determine when they will have the same amount of money in the bank?

Answers

Answer 1
Answer: Katherine=140+6x
Abbie= 462-10x
Answer 2
Answer:

Answer:

thank you

Step-by-step explanation:

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What is the slope-intercept formula for a line with a rise of 3, a run of 1 and a y-Intercept of 5?

Answers

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

intercept is 5, postive and represents b

Slope is 3 and represents m
Y jvyouggchkytfkytchgjhvl

The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?x4 – 2x2 + 5x – 6
x2 – x + 1
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
x4 – 4x2 + 3x

Answers

Answer:

x^2-x+1

Step-by-step explanation:

We are given that

Dividend=x^4-3x^2+4x-3

Quotient=x^2+x-3

We have to find the divisor.

Let the polynomial =p(x)

(x^4-3x^2+4x-3)/(p(x))=x^2+x-3

p(x)=(x^4-3x^2+4x-3)/(x^2+x-3)

Hence, the polynomial =p(x)=x^2-x+1

Answer: x^2-x+1
The right answer for the question that is being asked and shown above is that: "x2 – x + 1."The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). The polynomial is this one: x2 – x + 1

Least to greatest 4.3,5.5, 61/6, 15/4, 43/8

Answers

It would be

15/4 < 4.3 < 43/8 < 5.5 < 61/6

Patty is 50 mi. due north of Todd. Emma is due east of Todd. The angle between the direction of the shortest distance from Emma and Patty and due east is 40°. To the nearest mile, how far is Emma from each person?

Answers

For this it would be helpful if you draw a diagram of the situation. You will see that a right triangle can be formed from the problem. We use trigonometric functions to solve. We do as follows:

sin 40 = 50/y
tan 40 = 50/x


Solving we obtain,
x = 60 mi
y = 78 mi

Hope this answers the question. Have a nice day.

Answer:

Hence, the distance between Todd and Emma is:41.955 mi.

and the distance between Patty and Emma is:32.14 mi.

Step-by-step explanation:

We will see that we will get a right angled triangle based on our information(The graph is attached to the answer)

Now let x denotes the distance between Emma and Todd.

and y denotes the distance between Emma and Patty.

Now as the triangle is right angled so we can use the trignometric identities to find the distance.

\tan40\degree=(50)/(x)

this means x=\tan40\degree * 50

Now as \tan40\degree=0.8391

Hence, x=41.955 \text{mi.}

Similarly,

\sin40\degree=(50)/(y)

Hence y=32.14 \text{mi.}

Is 0.06 bigger than 1?

Answers

Hi there!


Great question! 0.06 is actually SMALLER than 1.


Why?


Because 0.06 is almost half of the whole number. Half of 1 is 0.5, which is larger than 0.06.

 

Half is smaller than whole, so, therefore, 1 is larger.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

1/2 = 0.5

0.9 is greater

0.06 is smaller

11/20 is greater

0.21 is smaller

500 seconds equal how many Giga seconds?0.0000005

0.000005

0.00005

0.0005

Answers

1 second = 0.000000001 Giga seconds

500 * 0.000000001 = 0.0000005 Giga seconds

Final answer:

500 seconds equates to 0.0000005 gigaseconds. This is determined by dividing 500 seconds by 1,000,000,000 seconds (the number of seconds in a gigasecond).

Explanation:

In the field of physics, the measure of time can be broken down into various units. The smallest unit is the second. Higher units include kiloseconds, megaseconds, and gigaseconds. One gigasecond (Gs) is equal to 109 seconds or 1,000,000,000 seconds.

To convert 500 seconds into gigaseconds, you need to divide 500 by 1,000,000,000.

So, 500 seconds = 500 / 1,000,000,000 Gs.

This calculation results in 0.0000005 Gs, which is your answer.

Learn more about Time Conversion here:

brainly.com/question/36044379

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