The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?A. f(x ) = x – |42.67|
B. f(x ) = |x| – 42.67
C. f(x ) = |42.67 – x|
D. f(x ) = 42.67 – |x|

Answers

Answer 1

Answer: C. f(x ) = |42.67 – x|

Answer 2

Answer:

Answer:

Step-by-step explanation:

This is because since the inspector wants the golf balls he makes to make no more than .002 away from the standard diameter,

You would subtract x from the standard diameter in the absolute value symbols to represent the distance away from the ball subtracted or added from 42.67

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The line segment joins the complex numbers

Answers

In the pictured graph, the X axis is labeled as real Axis and the Y axis is labeled as Imaginary axis.

The letter i after a number is considered an imaginary number.
So in the given numbers 2 +2i the w is the real number and 2i is the imaginary number, which is located at the dot labeled B.

-1 +3i, -1 is the real number and 3i is the imaginary number, which is located at the dot labeled A.

Line Segment AB is the correct answer.

Tania is going to make soup. She combines 225 grams of water with 300 grams of condensed soup. Tania then adds 50 grams of celery and 10 grams of carrots. How much soup does Tania have before she warms it on the stove?

Answers

Answer:

375 grams of soup sir I hope this helps

Final answer:

Tania has a total of 585 grams of soup before she warms it on the stove. This is found by adding the weight of all the ingredients she used: water (225g), condensed soup (300g), celery(50g), and carrots(10g).

Explanation:

The subject of this question is about adding quantities, which falls under Mathematics. Tania combines multiple ingredients to make soup. She uses 225 grams of water, 300 grams of condensed soup, 50 grams of celery and 10 grams of carrots. To find out the total amount of soup she has before warming it up, you simply need to add up all these amounts. So, 225g (water) + 300g (condensed soup) + 50g (celery) + 10g (carrots) = 585 grams. Therefore, Tania has 585 grams of soup before she warms it up on the stove.

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1,000,000 to scientific notation

Answers

1 000 000

1 000 000.0

We move the decimal point to the left hand side until we have a number that is from 1 to 9.

Should we move the point.

= 1.0 * 10⁶

Daniel is making a cube using blocks. The cube is solid and has no holes.How many cubes did Daniel use?

A.
81

B.
243

C.
486

D.
729

Answers

This answer uses NMF, which can be found out about in my profile:

We know that the length has to equal the width and height. This means that the amount of cubes used in total has to be the cube (power of 3) of the side length.

The answer is
floor#({3}√{x}) = {3}√{x}
where x is your possible answers and the statement is true.

If we do x = 81, then we can do
{3}√{81} ≈ 4.33
floor#(4.33) ≠ 4.33
therefore the answer is not 81

x = 243:
{3}√{243} ≈ 6.24
floor#(6.24) ≠ 6.24

x = 486:
{3}√{486} ≈7.86
floor#(7.86) ≠ 7.86

x = 729:
{3}√{729} = 9
floor#(9) = 9
Because they are equal, the number of cubes used is 729.

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a month penny?

Answers

The probability that Mildred will select a dime first and then a month penny is 1/24.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total possibilities = 16

So, Probability of a dime of the first draw = 10/16 = 5/8

and, Probability of a penny on the second draw = 1/15

Thus, Probability of both = 5/8 x 1/15

= 1/24

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Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population loses \dfrac{1}{18} 18 1 start fraction, 1, divided by, 18, end fraction of its size every 222 months. The population of foxes can be modeled by a function, PPP, which depends on the amount of time, ttt (in months). When Alyssa began the study, she observed that there were 185{,}000185,000185, comma, 000 foxes in the Arctic circle. Write a function that models the population of the foxes ttt months since the beginning of Alyssa's study.

Answers

Answer:

P(t)=185,000⋅(1718)^t2

Step-by-step explanation:

Final answer:

To model the population of foxes t months since the beginning of Alyssa's study, we can use the equation P(t) = P(0) - (1/18t), where P(0) is the initial population of 185,000 foxes.

Explanation:

To write a function that models the population of foxes t months since the beginning of Alyssa's study, we need to determine the rate at which the population decreases over time. Given that the population loses 1/18 of its size every 22 months, we can use this information to develop an equation. Let P(t) represent the population of foxes at time t, and let P(0) be the initial population of 185,000 foxes.

Since the population loses 1/18 of its size every 22 months, the rate of decrease can be calculated as 1/18 per 22 months. This can be written as -1/18 per month or -1/18t per month. Hence, the equation that models the population is P(t) = P(0) - (1/18t).

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