<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles
<em><u>Solution:</u></em>
Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip
He flew 2,567 miles from California to Hawaii during the second part of his trip
Therefore,
first part of his trip = 3547 miles
second part of his trip = 2567 miles
Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:
difference = first part of his trip - second part of his trip
difference = 3547 - 2567 = 980
Therefore, the difference in number is 980 miles
Simplifying –8.3 + 9.2 – 4.4 + 3.7.
Identify and explain any errors in his work or in his reasoning
Original problem 1. −8.3 + 9.2 + 4.4 + 3.7
Additive inverse 2. −8.3 + 4.4 + 9.2 + 3.7 (error, not additive inverse; +3-3=0)
Commutative property 3. −8.3 + (4.4 + 9.2 + 3.7)
Associative property 4. −8.3 + 17.3
Simplify 5. 9
If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)
=> (4,-1/2)
=> (2,-1)
=> (-1,-1)
=> (1,4)
=> (4,-4)
=> (-12,1)
<h3>Further explanation
</h3>
-
Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2. Therefore, the new point is (4,-1/2)
- Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2. Therefore, the new point is (2,-1)
- Making the input of the function negative will multiply every x-value by 1. To get the new point, we will take the x-value (4) and multiply it by -1 to get. Therefore, the new point is (-1,-1)
- Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1. Therefore, the new point is (1,4)
- Multiplying the whole function by 4 increases all y-values by a factor of 4
, so the new y-value will be 4 times the original value (4) or -4. Therefore, the new point is (4,-4)
- Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)
<h3>Learn more</h3>
- Learn more about corresponding point brainly.com/question/10218370
- Learn more about point on the graph brainly.com/question/11297347
- Learn more about the graph brainly.com/question/11534295
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: corresponding point
Keywords:
corresponding point, the graph, point on the graph
Jana was prescribed medication. m = 250(0.75)^h
6 hours after Jana took her medication, Allison was prescribed the same.
m=250(0.75)^(h-6)
<span>At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?
</span>
Same with Jana, Allison's medication content in her body will decrease by 25% after each hour.
Let h = 6
Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
Allison: m = 250(0.75)^6-6 = 250(1) = 250
250 - 44.50 = 205.50
On hour 6, Allison will have 205.5 mg more of the medicine than Jana.
