- Independent quantity: Number of hours worked per week
- Dependent quantity: Earnings per week
- Domain: 20 ≤ hours ≤ 25
- Range: $180 ≤ earnings ≤ $225
In this situation:
- Independent quantity: The number of hours Wendy plans to work per week
- Dependent quantity: The amount of money she earns per week
Reasonable domain and range values:
- Domain: The reasonable range of values for the number of hours Wendy works per week is between 20 and 25 hours. This is because she plans to work between 20 and 25 hours per week.
- Range: The amount of money Wendy earns per week depends on the number of hours she works. The range of values for her earnings can be calculated by multiplying the number of hours worked by her hourly rate of $9. Therefore, the range of values for her earnings per week will be between $180 (20 hours * $9) and $225 (25 hours * $9).
To summarize:
- Independent quantity: Number of hours worked per week
- Dependent quantity: Earnings per week
- Domain: 20 ≤ hours ≤ 25
- Range: $180 ≤ earnings ≤ $225
Simple question! Thank you for the help so far! :D
Answer:
○ [tex]\displaystyle y ≤ -7[/tex]
Step-by-step explanation:
Whenever you divide\multiply by a negative, you reverse the inequality symbol.
I am joyous to assist you anytime.
Santa has lots of mixed up socks in his sack! If he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the minimum he needs to pull out of his sack to get a matching pair?
The math test has 10 multiple choice questions, each with 4 answers. If Betty guesses correctly on the first 2 questions, what is the probability that she will guess correctly on the third question?
Answer: The probability that she will guess correctly on the third question [tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
Given: The math test has 10 multiple choice questions, each with 4 answers.
To find probability that she will guess correctly on the third question, we need to just look at only one question which has 4 options and one of them is the right answer, thus probability of choosing the right answer from 4 option is the fraction of 1 over 4.
The probability that she will guess correctly on the third question
[tex]=\frac{\text{answer of a question}}{\text{total options of a question}}[/tex]
[tex]=\frac{1}{4}[/tex]
Change 5000 meters to kilometers.
a.0.5 kmb)5 kmc)50 kmd)500 km
option b) 5 km
1 km = 1000 m
Divide the number of meters by 1000:
5000 m / 1000
= 5 km
So, 5000 meters is equal to 5 kilometers.
The correct answer is 5 km.
△ABC△ABC is similar to △XYZ△XYZ. Also, side ABside AB measures 6 cm, side BCside BC measures 18 cm, and side XYside XY measures 12 cm.
What is the measure of side YZside YZ ?
Answer:
36
Step-by-step explanation:
A ship sails due west from a harbor for 28 nautical miles. It then sails S68°W for another 17 nautical miles. How far is the ship from the harbor? (Round your answer to two decimal places.)
The ship is approximately 26.16 nautical miles from the harbor after following the described path.
To find the distance of the ship from the harbor after sailing due west for 28 nautical miles and then S68°W for another 17 nautical miles, we can use trigonometry to calculate the resultant displacement.
Let's break down the two legs of the journey:
1. Due west for 28 nautical miles is a straight line.
2. Sailing S68°W for 17 nautical miles forms an angle of 68° with the west direction.
Using trigonometry, we can find the horizontal and vertical components of the second leg:
Horizontal component = 17 * cos(68°)
Vertical component = 17 * sin(68°)
The total horizontal displacement from both legs is:
Horizontal displacement = 28 - (17 * cos(68°))
The total vertical displacement from both legs is:
Vertical displacement = 17 * sin(68°)
To find the distance from the harbor, we use the Pythagorean theorem:
Distance = √(Horizontal displacement² + Vertical displacement²)
Calculating:
Horizontal component = 17 * cos(68°) ≈ 6.93 nautical miles
Vertical component = 17 * sin(68°) ≈ 15.52 nautical miles
Horizontal displacement = 28 - (17 * cos(68°)) ≈ 21.07 nautical miles
Vertical displacement = 17 * sin(68°) ≈ 15.52 nautical miles
Distance = √(21.07² + 15.52²) ≈ √(443.9749 + 240.5504) ≈ √684.5253 ≈ 26.16 nautical miles
Therefore, the ship is approximately 26.16 nautical miles from the harbor after following the described path.
A car travels 180 miles north in 3 hours. What is the average velocity? Show your work and include units. Average velocity = distance/time. Know this equation for the test and how to calculate average velocity.
The change in position or displacement of an object in the time interval is known as average velocity of the object. The value of the average velocity is 60 miles per hour.
Given-
A car travels 180 miles north in 3 hours.
Average velocity- The change in position or displacement of an object in the time interval is known as average velocity of the object. It can be positive or negative depending upon the sign of the displacement.
[tex]\overline v=\dfrac{\Delta v}{\Delta t}[/tex]
Here [tex]\Delta v[/tex] is the change in displacement and [tex]\Delta t[/tex] is the change in time.
Use this formula to find the average velocity in the given formula we have to put the values velocity and time given in the question. Therefore,
[tex]\overline v=\dfrac{180}{3}[/tex]
[tex]\overline v=60[/tex]
Hence, the value of the average velocity is 60 miles per hour.
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You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, given that the red die shows an even number?
...?
Find the polar coordinates of the point that has rectangular coordinates (-3,3*sqrt of 3) write your answer using degrees. THANK YOU:)
2 cups (into mL of water
Answer:
about 473 mL
Step-by-step explanation:
For liquid measure, there are 16 cups in a US gallon, which is exactly 231 cubic inches. Each cubic inch is exactly 2.54³ = 16.387064 cubic centimeters--the same number of mL.
So, the exact conversion from cups to mL is ...
1 cup = (231/16)(16.387064) mL = 236.5882365 mL
Multiplying this by 2 gives ...
2 cups = 473.176473 mL
For many purposes, the nearest mL is sufficiently accurate:
2 cups ≈ 473 mL
If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?
A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.
Answer:
Option A is correct.
Yes, by AA similarity criterion
Step-by-step explanation:
AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In ΔBAC and ΔCED
[tex]\angle BAC = \angle CED = 17^{\circ}[/tex] [Angle] [Given]
[tex]\angle C = \angle C[/tex] [Angle] [Common angle]
Therefore, by AA similarity criterion;
[tex]\triangle BAC \sim \triangle CED[/tex]
Therefore, ΔBAC and ΔCED are similar by AA similarity criterion.
What is "Centroid of a triangle" and why is it important?
(10^25)-7 is divisible by
a) 2 b)3 c)9 d) both 2 & 3
to which subset of the real numbers does the number 1.68 belong?
a. rational numbers
b. natural numbers, whole numbers, integers, rational numbers
c. rational numbers, irrational numbers
d. none of the above ...?
Answer:
a.rational number
Step-by-step explanation:
We are given that a real number 1.68
We have to find that given number belongs to which set
We know that
N={1,2,3...}
Whole numbers set ={0,1,2...}
Integers=Z={...-3,-2,-1,0,1,2,,,}
Rational number :That number which can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to zero ,p and q are belongs to integers.
Irrational number: That number which is not rational is called irrational number.
Hence, given number 1.68 belongs to rational numbers set.
Answer : a.rational number
The area of a rectangle is 70 square inches and the length of the rectangle is 3 inches longer than the width.
The area of a rectangle is found by multiplying the length times the width.
Which equation models this situation?
3w = 70
w(w+3)=70w(w+3)=70
w + 3 = 70
w + 3w = 70
Convert the slope of -0.6 to a fraction in simplest form
What does -2 (3-y) equal to?!!
Is 53 prime or composite
Answer:
it is prime
Step-by-step explanation:
Remember:
Prime numbers have 2 factors:
1
Itself
which fraction is not equivalent to 7/8
a 21/24 b 35/40 c 15/16 d 28/32
Final answer:
Option c, 15/16, is the correct answer because it cannot be simplified to 7/8, making it not equivalent to 7/8, while the other options are equivalent after simplification.
Explanation:
The question asks us to identify which fraction is not equivalent to 7/8. To determine this, we need to compare each option with 7/8:
Option a: 21/24 can be simplified by dividing the numerator and the denominator by 3, which gives us 7/8, so this option is equivalent.Option b: 35/40 can be simplified by dividing the numerator and the denominator by 5, which gives us 7/8, so this option is equivalent as well.Option c: 15/16 cannot be simplified to 7/8 because when we divide both by their greatest common divisor, we do not get 7/8. Therefore, this fraction is not equivalent to 7/8.Option d: 28/32 can be simplified by dividing the numerator and the denominator by 4, which gives us 7/8, so this option is equivalent.Hence, the correct answer is option c, which is not equivalent to 7/8.
There are 440 students, ratio of male to female students is 6 to 5. Find how many male and female students in a class
If the discriminant of a quadratic equation is 4, which statement describes the roots?
-2 complex roots
-2 real roots
-1 real root
-1 complex root
PLEASE HELP
Answer:
Statement which describes the roots is:
2 real roots
Step-by-step explanation:
If the discriminant D of a quadratic equation follows:
D=0 then there are 2 equal real roots or 1 real root
D>0 then there are 2 unequal real roots
and if D<0 then there are 2 complex roots
Here, we are given the discriminant of a quadratic equation is 4
i.e. D=4 >0
So, it means quadratic equation has 2 real roots
Hence, statement which describes the roots is:
2 real roots
Hence, statement which describes the roots is:
2 real roots
Use the Law of Detachment to draw a logical conclusion from the two given statements. If not possible, choose not possible. If you drive safely, then you can avoid accidents. Teddy drives safely.
Teddy avoids accidents. If Teddy avoids accidents, he must drive safely. (my ans)
If Teddy does not drive safely, he does not avoid accidents.
not possible
Answer:
Teddy avoids accidents.
Step-by-step explanation:
Which expression completes the equation? 24 divided by 6 + 20=
The expression that completes the equation is 3(7+1).
To complete the equation "24 divided by 6 + 20,"
we need to perform the division first, and then add 20 to the result.
6 | 24 | 4
24
_____
0
Here, Divisor= 6, Remainder= 0 and Quotient= 4
So, 4 + 20 = 24
Then, the equivalent value is
3 (7+1)
= 3 x 8
= 24
Therefore, the expression that completes the equation is 3(7+1).
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The question attached here is incomplete, the complete Question is
Choose the expression that completes the equation.
24 ÷ 6 + 20 =______
2(7 + 10)
4(4 + 3)
3(7 + 1)
3(7 + 7)
can someone plz help me ?
how does sin(-13pi/4) = -5pi/4
we were asked to find the exact value of sin(-13pi/4)
how does sin(-13pi/4) = -5pi/4
we were asked to find the exact value of sin(-13pi/4)
The equation sin(-13π/4) = -5π/4 is incorrect.
The correct value for sin(-13π/4) is actually 1/√2 or √2/2, not -5π/4.
Here, we have,
To understand why, let's break down the calculation step by step:
The sine function represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
In this case, we have an angle of -13π/4.
To find the reference angle,
we can add 2π to -13π/4 to bring it into the standard range of angles:
-13π/4 + 2π = -5π/4
Now, we can find the reference angle of -5π/4 in the unit circle or trigonometric table.
The reference angle of -5π/4 is π/4.
Since sine is positive in the second quadrant,
the value of sin(-5π/4) is the same as sin(π/4), which is 1/√2 or √2/2.
Therefore, the correct exact value of sin(-13π/4) is 1/√2 or √2/2, and not -5π/4.
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A company receives $198, of which $13 is for sales tax. The journal entry to record the sale would include a
A : debit to Sales Revenue for $198.
B : credit to Sales Taxes Payable for $13.
C : debit to Cash for $180.
D : debit to Sales Tax Expense for $13.
Estimate the fraction equal to 19%
Electronics Warehouse is having a blowout sale. A television that normally sells for $275 is on sale for 30% off. How much is the discount?
Step-by-step explanation:
The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?
A. $18
B. $15
C. $25
D. $10
<33 please help
...?
The cost to rent 1 canoe from the rent made by the group of the girls and boys is $25.
What are word problems?Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.
From the given information:
The group of girls: 2c + 3t = 80 --- (1)The group of boys: 1c + 7t = 95 ---- (2)Now, we can have a system of equations, and we can solve for the number of canoes and the inner tubes rented.
Using Elimination method:
2c + 3t = 80 --- × (1)
c + 7t = 95 --- × (2)
2c + 3t = 80
-2c + 14t = 190
0 + -11t = -110
-11t = -110
t = -110/-11
t = 10
From equation (1)
2c + 3t = 80
2c + 3(10) = 80
2c + 30 = 80
2c = 80 - 30
2c = 50
c = 50/2
c = 25
Therefore, we can conclude that the cost of the rent of 1 canoe is $25.
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Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?
A.cubic feet
B.yards
C.square feet
D.square yards
Answer:
(C) Square feet
Step-by-step explanation:
In order to take the measurements, he should use the square feet unit of measure.
As, the cubic feet also known as unit of volume can be defined as the volume of the cube with sides of one foot in length. Since, the bathroom is two dimensional therefore, cubic feet can't be used.
Yards are basically a unit of length use to measure length and perimeter and square yards are used in measuring the long space and the bathroom is bit too small for it.
Therefore, square feet should be used to measure.