The relationship between a domain, relation, and range in mathematics is that the domain represents the set of input values, the relation shows the relationship between input and output values, and the range represents the set of output values.
Explanation:In mathematics, "a domain is the set of input values or independent variable in a relation or function". It represents the possible values for the input variable. A relation is a set of ordered pairs that shows the relationship between the input and output values. The range of a relation is the set of output values or dependent variable.
For example, let's consider a relation that relates the ages of students to their heights. The ages of the students would be the domain, the heights would be the range, and the ordered pairs would represent the relationship between age and height.
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When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the new cube is 864 square inches. What where the dimensions of the original cube?
Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
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Hiiiii pleaseeeee helppppp understand how to do this I want to understand.
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls
Final answer:
To find the number of girls in the class, you calculate the value of each part of the ratio by dividing the total number of students by the sum of the ratio parts, and then multiply the result by the number of parts for girls, which gives us 16 girls.
Explanation:
The question involves finding the number of girls in a class where there is a given ratio of boys to girls and a total number of students. In this case, the ratio of boys to girls is 5:4, and there are 36 students in the class. To solve for the number of girls, we can use the concept of ratios. First, combine the parts of the ratio to find the total parts in the ratio, which is 5 + 4 = 9 parts. Each part is then equal to the total number of students divided by the total parts, which is 36 students \/ 9 parts = 4 students per part. Since the ratio of boys to girls is 5:4, we know that girls constitute 4 parts of the total. Thus, the number of girls can be calculated by multiplying 4 (the number of parts for girls) by 4 students per part, resulting in 16 girls in the class.
find 1/2 of 5 less than 10
Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?
A. -5/6 = 1/4 X +1/4
B. 2/3 X = -5/12 X -7/12
C. 1/4 X-5/6 = 1/4
D. 2/3 X -13/12 = -5/12 x
Answer:
The answer is D
Step-by-step explanation:
2/3x-5/6=5/12x+1/4
x=1
the only option that x=1 is
2/3x-13/12=-5/12x
21 and 61 which is composite and which is prime
Marisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to marisol's ratio.
Which inequality models this problem?
Miranda started a car-washing business. She spent $75 to purchase supplies to get started and she uses about $0.50 worth of supplies per car washed. Miranda charges $9 for each car washed. Let c represent the number of cars.
What is the minimum number of cars Miranda will need to wash to make a profit?
9c>75+0.5c
0.5c>75+9c
9c<75+0.5c
0.5c≥75+9c
Answer:
9c>75+0.5c Is your answer
Step-by-step explanation:
I took the test :3
Good luck
how do you find the power of 35,036 1/3
Final answer:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). The cube root of 35,036 is approximately 32.41.
Explanation:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). In this case, a = 35,036 and b*c = 1/3. So, the power of 35,036 to the 1/3 exponent is 35,036^(1/3).
Now, to evaluate this expression, you can find the cube root of 35,036 using a calculator. The cube root of 35,036 is approximately 32.41. Therefore, the power of 35,036 to the 1/3 exponent is approximately 32.41.
Riley worked 5 hours on Monday, 3 hours on Tuesday, and 2 hours on Wednesday. He rounded the hours to 5, 3, and 2 before adding them together to get 10 hours. Did he make a high or low estimate?
Answer:
It is low... not high :)
HELP ME PLEASE!! MATHEMATICS
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
what is the measure of <rst
The measure of the angle ∠RST will be 81°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the central angle of the sector of the circle is 162°.
Then the measure of the angle ∠RST is half of the central angle. Then we have
∠RST = 162° / 2
∠RST = 81°
The measure of the angle ∠RST will be 81°. Then the correct option is B.
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explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
What is the best estimate for the following expression: 6.79 - (-3.2)?
10
9
4
1
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
Solve for s. 23s+56s=21 Enter the answer, as a whole number or as a fraction in simplest form, in the box.
A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dollars in profit last year. How many times greater is the profit made by the entire chain last year than by this particular store? Drag and drop the values into the boxes to represent the answer in scientific notation. 0.145
1.45
145
10²
10^14
10^48
Your sports drink bottle is 5/6 full. After practice, the bottle is 3/8 full. Write the difference of the amounts after practice and before practice. Write your answer as a fraction in simplest form.
Answer:
its -11/24
Step-by-step explanation:
how does understanding place value help you to subtract across zeros
A student worked 46 hr during a week one summer the student earned $4.90 per hour for the first 40 hr and $7.35 per hour for overtime how much did the student earn during the week?
Answer:
240.10 dollars
Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet.
The difference between -7/9 and 4/9 is
Hello!
Your answer is
-1 2/9
The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for their meeting. At most, how many chairs can be in each row? A) 18 B) 19 C) 26 D) 27
Answer A (18
Step-by-step explanation:
Solve the equation for the red variable.
A barrel holds 50L how many gallons is this
write an equation in function form 3x-y=7
Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandise on his credit card. Use positive and negative numbers to explain the sitiuation. Is Joe's overall balance represented by a positive or negative number? Justify your answer.
The table shows the number of flowers in four bouquets and the total cost of each bouquet.
What is the correlation coefficient for the data in the table?
–0.57
–0.28
0.28
0.57
we know that
The correlation coefficient is a number between [tex]-1[/tex] and [tex]+1[/tex] that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to [tex]0.28[/tex]
therefore
the answer is
[tex]0.28[/tex]
It should be noted that in the table, the correlation coefficient for the data is C. 0.28.
Correlation coefficient.It should be noted that a correlation coefficient simply means the number that's between -1 and +1.
It represents the linear dependence between the two variables. In this case, the correlation coefficient for the data is 0.28.
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